Find all solutions to the equation. cos x = sin x

Answers

Answer 1

if you were to draw the cosx and sinx graph there will be infinite solutions at their interceptions which are the multiple of pi/4

Related Questions

2, -4, 8, -16, . . . find the next two numbers in the pattern and describe the pattern.

Answers

the next numbers are 32 and -64 the pattern multiplies by -2

the minute hand of a clock is 9.5cm long, How far does the tip of the hand travel in one day?

Answers

The tip of the hand travels the circumference of a circle with radius (r) 9.5 cm every hour;
The formula for circumference of a circle (c) is:
c = πd = 2πr
So, for a circle with radius 9.5, the circumference is:
c = 2π(9.5)
= 19π cm
The tip travels 19π cm every hour, so in a day of 24 hours it will travel:
24 * 19π = 456π cm
(= 1432.566... ⇒ 1432.6 cm)

The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2). The answe is x_ _= something

Answers

First, you have to find the midpoint of the segment. Using the midpoint theorem, (which is (x1+x2)/2, (y1+y2)/2 ) the midpoint of that segment in (3,-1)

Next find the slope of the segment 1,0 and 5,-2 using rise over run or deltax / deltay which is a fancy way of saying change in x over change in y.

The slope is 4/2 or 2
When a line is perpendicular to another the slope is the negative reciprocal so the slope of our new line will be -1/2

Now plug in the coordinate (3, -1) to find the y-intercept and the equation of that line will be complete

so -1 = -1/2 (3) +b
-1= -1.5 +b
0.5 = b

The final equation will be -1/2x + 0.5 =y

hope this helps:)

Compare 9 ⋅ 104 to 3 ⋅ 102.

9 ⋅ 104 is 3 times larger than 3 ⋅ 102.
9 ⋅ 104 is 30 times larger than 3 ⋅ 102.
9 ⋅ 104 is 300 times larger than 3 ⋅ 102.
9 ⋅ 104 is 3,000 times larger than 3 ⋅ 102.

Answers

9×10⁴ is 300 times greater than 3×10²
as, (9×10⁴)/(3×10²)=3× 10²
and the proper of writting powers in computer form is a×10^b

Answer:

9×10⁴ is 300 times greater than 3×10²

Step-by-step explanation:

guy above me's work. thanks to him we get this answer :)

To make bread dough, a baker mixes flour, eggs, yeast and salt by weight in pounds in the ratio of 11:9:3:2, respectively. how many pounds of yeast are required to make 20 pounds of bread dough?

Answers

In a standard batch, you have 11 pounds of flour, 9 pounds of eggs, 3 pounds of yeast and 2 of salt. This means the bread dough will weigh 11+9+3+2=25 pounds. The ratio of yeast to dough is then 3:25. To get 20 pounds of dough, we need x amount of yeast. Since its a ratio, 3/25 = x/20. We then solve for x, so x = 20*(3/25) = 12/5 = 2.4 pounds of yeast.

The sum of three numbers is 91. the third number is 2 times the first. the first number is 7 less than the second. what are the numbers?

Answers

Let's call the three numbers a, b, and c.
Now we can turn the information we are given into equations.
The sum of the three numbers is 26:
a + b + c = 26
Twice the first (2 times a) minus the second (2 times a minus b) is 2 less than the third:
2a - b = c - 2
The third is the second minus three times the first:
c = b - 3a
Counting what we have here, we now have three equations and three variables: enough to solve the whole system of equations.
The third equation gives us c directly, so we can start there and substitute into the second equation:
2a - b = (b - 3a) - 2
2a + 3a = b + b - 2
5a = 2b - 2
Let's get one of these variables on its own so we can continue with the substitution:
5a + 2 = 2b
b = (5a + 2) / 2
Now we have c in terms of a and b, and b in terms of just a. So let's use the first equation and substitute to find out what a is:
a + b + c = 26
a + (5a + 2) / 2 + (b - 3a) = 26
a + (5/2)a + 1 + (5a + 2) / 2 - 3a = 26
7/2a + 1 + 5/2a + 1 - 3a = 26
12/2a + 2 - 3a = 26
6a - 3a = 26 - 2
3a = 24
a = 8
At last, we have solved for one of the variables. Now, plug this into the equation for b to find b:
b = (5a + 2) / 2 = (5(8) + 2) / 2 = (40 + 2) / 2 = 42 / 2 = 21
Now we have a and b. Time to find c!
a + b + c = 26
(8) + (21) + c = 26
29 + c = 26
c = 26 - 29
c = -3
So our values for a, b, and c are 8, 21, and -3.

Final answer:

To solve for three unknown numbers with given relationships, we set up algebraic equations. Using substitution, we find the three numbers by solving the linear system. The numbers are 21, 28, and 42.

Explanation:

The problem presented is a typical linear equation problem found in mathematics where we need to find the values of three unknown numbers with the given relationships between them. To find the three numbers, we set up algebraic equations based on the information provided. Let's denote the first number as x, the second number as y, and the third number as z.

According to the problem:

The sum of the three numbers is 91: x + y + z = 91.The third number is 2 times the first: z = 2x.The first number is 7 less than the second: x = y - 7.

Let's now use substitution to solve for the numbers. Substituting the value of x from the third equation into the second equation, we get z = 2(y - 7). Plugging the expressions for x and z back into the first equation, we have y - 7 + y + 2(y - 7) = 91. Simplifying this equation gives us 4y - 21 = 91, which solves to y = 28. Using y = 28, we find x = 21 and z = 42.

Therefore, the three numbers are 21, 28, and 42.

On Mars, if you hit a baseball, the height of the ball at time "t" would be modelled by the quadratic function h=-1.85t^2+20t+1, where t is in seconds and h is in metres. When will the ball hit the ground?

Answers

Given that the height of the baseball is modeled by the equation:
h(t)=-1.85t^2+20t+1
where t is time in seconds and h is the height in meters
The time taken for the ball to hit the ground will be found as follows;
at the point when the ball hits the ground, h(t)=0, therefore our equation will be:
-1.85t^2+20t+1=0
solving the above quadratic equation for t we get:
t=[-b+/-sqrt(b^2-4ac)]/(2a)
substituting the values into the above formula we get:
t=[-20+\-sqrt(20^2+7.4)]/(-3.7)
t=-0.049771
or
t=10.8606
but since there is no negative time values we shall select:
t=10.8606
hence, we conclude that the time taken for the ball to hit the ground was:
t=10.8606 seconds

Two lines are perpendicular. if one line has a slope of 0, what is the slope of the other line?

Answers

If two lines are perpendicular, then one line is an opposite reciprocal of the other. Since one line has a slope of 0, the opposite reciprocal of 0 would be -0/0, but any number over 0 is described as undefined, so the slope of the other line is undefined.

Which person in the high rise building is closest to the street level?Moira is in her doctor’s office on the fourth floor.Geoffrey is in the elevator between the second and third floors.Sandy is in the laundry room on the –2 basement floor.Hasim is leaving the parking garage and is currently between –1 and –2 levels.

Answers

Arranging in value from top to bottom. The chart is Moira (4), Geoffrey (2.5) Ground Floor (0), Hasim (-1.5) and Sandy (-2). The closest number to 0 is -1.5, so that means that Hasim is the closest to the ground floor.

Answer

Hasim is the closest... I just took the test

The length of a rectangle is twice its width. if the area of the rectangle is 162 cm2 , find its perimeter.

Answers

Let the width of the rectangle be x
Then, the length of the rectangle will be 2x
The area of the rectangle will be
2x(x)=2x^2
Since the area of the rectangle is 162cm2
2x^2=162
x^2=81
x=9
Width of the rectangle=9
Length of the rectangle=9x2=18
Perimeter of a rectangle
=2(width) + 2(length)
=2(9)+2(18)
=54cm

Tony is four years younger than his brother josh, and two years older than his sister cindy. tony also has a twin brother, evan. all the ages of the children totaled together is 66. how old is tony?

Answers

To solve this problem, let us assign the variables. Let us say that:

x = age of Tony = which also the age of his twin brother Evan

x + 4 = age of Josh (since tony is 4 years younger, then josh must be 4 years older)

x – 2 = age of Cindy (since tony is 2 years older, then cindy must be 2 years younger)

There are a total of 4 children, therefore:

x + x + x + 4 + x – 2 = 66

4 x + 2 = 66

4 x = 64

x = 16

Therefore Tony is 16 years old.

Final answer:

To find Tony's age, we can set up an equation using the information given and solve for x. After solving the equation, we find that Tony is 16 years old.

Explanation:

To solve this problem, we can assign variables to each person's age. Let's say Tony is x years old. Since Tony is four years younger than Josh, Josh's age can be represented as x + 4. Since Tony is two years older than Cindy, Cindy's age can be represented as x - 2. Since Tony has a twin brother, Evan, we can assign Evan's age as x as well.

According to the information provided, the sum of all their ages is 66, so we can set up the equation: x + (x + 4) + (x - 2) + x = 66. Simplifying the equation, we get 4x + 2 = 66. By subtracting 2 from both sides and dividing by 4, we find that x = 16.

Therefore, Tony is 16 years old.

State two reasons why including the p-value is prudent when you are reporting the results of a hypothesis test.

Answers

In general as we know when we perform a hypothesis test in statistics then p value help us to determine the significance of our result.
Hypothesis test are generally used to test a validity of claim that is made about a population.This claim that's on trial in essence is called as a Null Hypothesis.

The p - values is a number between 0 to 1 and interpreted in following way:

A small p - value (<= 0.05) indicates the strong evidence against a null hypothesis , so you reject a null hypothesis.

A large p - value (>0.05) indicates weak evidence against a null hypothesis , so you fail to reject the null hypothesis.

The reason which include the p - value is prudent when you are reporting the result of a hypothesis test are given below:

1. It allows us for evaluating the strength of the evidence against the null hypothesis.

2. Allow us for assessing significance at any desired level . The null hypothesis can be rejected at any significance level larger than or equal to p - value and it can not be rejected at any significance level smaller than the p - value.

which residual plot shows that the line of best fit is a good model?

Answers

The residual plot with a line of best fit that is a good model is the third residual plot.

Which line of best fit is a good model?

The line of best fit should cut across data points in such a way that the data points on each side are relatively the same number.

The data points on both sides should also be roughly the same distance away from the line. The third residual plot fits these parameters and so shows the line of best fit as a good model.

Find out more on the Line of Best fit at https://brainly.com/question/21241382.

Answer:

the 3rd one

Step-by-step explanation: took the test on edu

Which line is parallel to the line y=12x+5 and passes through the point (-2, 1)?

Answers

The equation of the line parallel to y=12x+5 that passes through the point (-2, 1) is y=12x+25.

Since the two lines are parallel, they will have the same slope. The slope of the given line is the coefficient of x, which is 12. Therefore, the line we are looking for also has a slope of 12.

To find the equation of the new line, we'll use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point.

Substituting the given point and the slope into this form we get:

y - 1 = 12(x + 2)

Expanding and simplifying this, we have:

y - 1 = 12x + 24

Finally, adding 1 to both sides to solve for y, we get:

y = 12x + 25, which is the equation of the line that is parallel to y=12x+5 and passes through the point (-2, 1).

Which law would you use to simplify the expression (p/q)^3

Answers

Answer:

B. Power of quotient.

Step-by-step explanation:

We have been given an expression [tex](\frac{p}{q} )^3[/tex] and we are asked to choose the correct rule to simplify our given expression.

Since our given expression is a fraction raised to 3rd power. Power of a quotient rule states when a quotient is raised to an exponent, then the exponent is distributed to both numerator and denominator of the quotient.

Using power of a quotient rule, we will get,

[tex](\frac{p}{q} )^3=\frac{p^3}{q^3}[/tex]

Therefore, we can simplify our given expression using power of a quotient and option B is the correct choice.

The power of quotients is the law that would be used to simplify the expression.

What is the power of quotients?

This is a mathematical rule that states that the power of a quotient is the same thing as the quotient that is gotten.

Given that the numerator p and the denominator q are raised to to the power expressed in the question separately.

The division is calculated after this has done

Read more on the power of quotient here:

https://brainly.com/question/2141690

Solve by taking square roots: x^2 - 40 = 9

Answers

To solve for x^2 - 40 = 9, take the square roots of both sides and solve.
The answer is x = 7, -7.

[tex] x^{2} -40= 9[/tex]

[tex] x^{2} = 49[/tex]

[tex] \sqrt{ x^{2} } = \sqrt{49} [/tex]

x = +7 or -7

Solve the system using elimination. y – x = 13 7y + x = 11

Answers

y – x = 13
7y + x = 11
---------------------add
8y = 24
y = 3

y – x = 13
3 – x = 13
-x = 10
x = -10

answer
x = -10 and y = 3

Describe the graph of the function.y = |x – 4| – 7

Answers

This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:

(x-4)=0 ===> x=4,

so that now you have to plot 2 functions!

For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:

|x-4| = -(x-4)=4-x
Then:

for x<=4, y = -x+4-7 = -x-3

for x=>4, (x-4) is positive, so no changes:

y= x-4-7 = x-11,

Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11

In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:

x=4 and x= 3 for y=-x-3

And just x=5 for y=x-11

The reason is that the absolute value is continuous, so x=4 works for both:

x=4===> y=-4-3 = -7

x==4 ====> y = 4-11=-7!

abs() usually have a cusp int he point where it is =0

Hope it helps, despite being this long!

Answer with explanation:

We are given a function as:

[tex]y=|x-4|-7[/tex]

We know that this function is a transformation of the parent function y=|x| i.e. the modulus function.

The rule that holds in this transformation is:

It is a translation of the parent function 4 units to the right and 7 units down.

Also, the graph of the function is attached to the answer.

What is the remainder of (x3 - 6x2 - 9x + 3) ÷ (x - 3) A. -25 B. -52 C. -51 D. -17

Answers

D is the correct answer.

BRAINLIEST PLS!!!

the correct answer in C. -51 hope this helps you

The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to the power of x. The straight line f of x joins ordered pairs 4, 1 and 2, negative 3 and is extended on both sides. The straight line p of x joins the ordered pairs 0, 2 and 1, negative 5 and is extended on both sides. Courtesy of Texas Instruments Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points) Part B: Write any two solutions for f(x). (3 points) Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)

Answers

Part A: Intersection at [tex]$(-13/4, -83/4)$[/tex].

Part B: Two solutions for [tex]$ f(x) $: (0, -11) and (5, 14).[/tex]

Part C: Solve [tex]$ p(x) = g(x) $[/tex] graphically for the Point of intersection

Part A: Solution to the Pair of Equations (p(x) and f(x)):

The solution to the pair of equations represented by [tex]$ p(x) $ and $ f(x) $[/tex]is the point of intersection. From the information provided, it seems that the intersection point is [tex]$(-13/4, -83/4)$.[/tex]

Part B: Two Solutions for [tex]$ f(x) $[/tex]:

1. [tex]$ (0, -11) $[/tex]

2. [tex]$ (5, 14) $[/tex]

Part C: Solution to [tex]$ p(x) = g(x) $[/tex]:

To find the solution to [tex]$ p(x) = g(x) $, set $ p(x) = 7x + 2 $[/tex] equal to [tex]$ g(x) = 1 + 1.5^x $. Solve for $ x $[/tex] to determine the point of intersection between [tex]$ p(x) $ and $ g(x) $[/tex]. The solution to this equation provides the [tex]$ x $[/tex] coordinate, and substituting it into either [tex]$ p(x) $ or $ g(x) $[/tex] gives the [tex]$ y $[/tex] coordinate. The justification lies in the graphical intersection of the functions.

Note: It's essential to examine the graph for precise details, as visual inspection can help confirm the solutions.

For such more questions on point of intersection

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what is the range of f(x)=log0.6x

Answers

The range of a log is all real numbers, only the domain is limited. Therefore the answer is +infinity to -infinity.

Choose the correct simplification of (6x4y2z3)(3x4y3z5).
18x16y6z15
18x8y5z8
9x8y5z8
9x16y6z15

Answers

6x4 * 3x4 = 18x^8

y2*y3 = y5
z3 * z5 = z8

answer is 18x8y5z8

B

Answer:

18 x 8y 5z 8 witch is answer choice B

Step-by-step explanation:

A carpet cleaning business has 100 customers when they charge $125 for a cleaning. Research shows that every $5 reduction in price attracts another 20 customers. What price should the business implement to maximize its revenue?
a $75
b $100
c $120
d $90

Answers

Since a $5 decrease in price increases customers by 20 we can say that we have two points:

(125,100) and (120,120), from these we can find the slope or rate of change of customers as a function of price...

m=20/-5

m=-4

m=-4

c(p)=-4p+b, now we can use (125,100) to solve for b

100=-4(125)+b

100=-500+b

600=b, so our number of customers as a function of price is:

c(p)=600-4p

Revenue will simply be the number of customers times the price charged per customer...or p*c(p):

r(p)=600p-4p^2

We can find price that creates maximum revenue by finding when the derivative is equal to zero...

dr/dp=600-8p

dr/dp=0 only when

0=600-8p

8p=600

p=75

So the price that maximizes revenue is $75.

The linear relationship is c(p) = -4p + b. Then the price that maximizes revenue is $75.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1.

A carpet cleaning business has 100 customers when they charge $125 for cleaning.

Research shows that every $5 reduction in price attracts another 20 customers.

Since a $5 decrease in price increases customers by 20, we can say that we have two options.

(120, 100) and (120, 120) from these we can find the slope or rate of change of customers as a function of price.

[tex]\rm m = \dfrac{20}{-5}\\\\ m = -4[/tex]

Then we have

[tex]\rm c(p ) = -4 p +b[/tex]

Now, we can use (125, 100) to solve for b

100 = -4(125) + b

b = 600

So our number of customers as a function of price is

[tex]\rm c(p) = 600 - 4p[/tex]

Revenue will simply be the number of customers times the price charged per customer will be

[tex]\rm r(p) = 600 p -4p^2[/tex]

We can find a price that creates maximum revenue by finding when the derivative is equal to zero.

[tex]\rm \dfrac{dr}{dp} = 600 - 8p\\\\[/tex]

WE know that for maximum,

[tex]\rm \dfrac{dr}{dp} = 0\\\\0 = 600 - 8p\\\\p = 75[/tex]

So, the price that maximizes revenue is $75.

More about the linear system link is given below.

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

what way do you shade in

Answers

2x - 6 > = 6(x - 2) + 8...distribute thru the parenthesis
2x - 6 > = 6x - 12 + 8...simplify
2x - 6 > = 6x - 4...subtract 6x from both sides
2x - 6x - 6 > = 6x - 6x - 4...simplify
-4x - 6 > = -4 ...add 6 to both sides
-4x - 6 + 6 > = -4 + 6...simplify
-4x > = 2...divide both sides by -4, change the inequality sign
x < = -2/4
x < = -1/2 or -0.5

so u would have a solid circle (because of ur equal sign) on -1/2...and the shading would go to the left (because less then goes to the left)

** the reason the inequality sign was changed is because when multiplying/dividing by a negative, u have to flip the sign...but dont forget to keep the = sign in there

Answer:

x < = -1/2 or -0.5

Step-by-step explanation:

that's the answer

What are the possible values of x in x2 + 3x + 3 = 0?

Answers

I'm assuming that that is a quadratic equation:
[tex] x^{2} +3x+3=0[/tex]
The only way to solve this is to use the quadratic formula. When you do that you get a negative number under the square root sign which we all know is illegal, UNLESS you factor out the imaginary "i". So your roots would be this:
[tex]x= \frac{-3+ \sqrt{3}i }{2} ,x= \frac{-3- \sqrt{3}i }{2} [/tex]

If the tangent line to y = f(x) at (7, 4) passes through the point (0, 3), find f(7) and f '(7).

Answers

hello :
f'(7) = the slope of the tangent line : let A(7,4) B(0,3)
the slope is : (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
y = (1/7)x+3
the line tangent and the graph of : f passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4

Final answer:

To find f(7) and f'(7) of y = f(x) given a point on the tangent line passing through another point.

Explanation:

Given:
Equation of tangent line to y = f(x) at (7, 4) passes through (0, 3).
To find:
f(7) and f'(7).

Find slope of tangent line using the two points: m = (3-4)/(0-7) = 1/7.Since slope of tangent = f'(7), f'(7) = 1/7.Using the point (7, 4) and slope 1/7, find the equation of the tangent line: y - 4 = (1/7)(x - 7).Substitute x = 7 in the equation to find f(7), which results in f(7) = 4.

Write an inequality for the situation.

all real numbers y that are less than –3 or greater than 18

A) y < –3 or y < 18
B) y < 18 or y > –3
C) –3 < y < 18
D) y < –3 or y > 18

Answers

The answer is D. The numbers for y have to be less than -3, which is shown using the less than sign, and they also have to be greater than 18, which is shown with the greater than sign.

All real numbers y that are less than -3 means that the values of y need to be less than -3 so;
y<-3.
Next, it is greater than 18 which means the value of y is greater than 18;
y>18
Also, this is known as the compound inequality which you could write as: 1818. In conclusion, D is the only correct answer. Have a nice day!

The graph below shows a line segment PQ: graph of line PQ going through ordered pairs negative 1, 3 and 2, negative 3 Which of the following equations best represents the line segment PQ?A: y = −3x + 2B: y = −2x + 1C: y = −3x − 2D: y = −2x − 1

Answers

You actually don't need a graph to be able to solve this equation. As long as you are given two data points, you can already solve for the linear equation.

The most common way of writing linear equations is the slope-intercept form:
y = mx + b, where m is the slope and b is the y-intercept.

The slope is the ratio of the change of y to the change of x coordinates. Let's say point 1 is (-1,3) and point 2 is (2,-3). Then,

m = (-3-3)/(2-⁻1) = -2

Next, we use any of the given point to the standard equation along with the m to find b. Let's use (-1,3)

3 = -2(-1)+b
b = 1

Thus, the complete linear equation is y = -2x + 1. The answer is B.

Answer:

y = -2x + 1. The answer is B.

Step-by-step explanation:

points (0,0) and (3,3) lie on line k what is the slope of the line that is perpendicular to k

Answers

slope equation: y2-y1 over x2-x1
3-0 over 3-0 = 1
to get the perpendicular slope of a line, you must use the negative reciprocal therefore, the slope of a line that is perpendicular to k is equal to -1

Find the value of X.

Answers

RS + ST = RT

3x + 1 + 2x - 2 = 64
5x - 1 = 64
5x = 64 + 1
5x = 65
x = 65/5
x = 13 <==

Other Questions

what is e/4 + 2f-3 when e =12 andf =1/2 When BA = 10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number. A) 52 ft^2B) 262 ft^2C) 43 ft^2D) 305 ft^2 How did duke express his impatience and goad hooper for a walk ? How did john calvin's teachings result in some englishmen wanting to leave england? Which best describes what Florida Governor Madison Starke Perry did in anticipation of secession? Read the sentence. Although meteorologists work hard to predict hurricanes paths, hurricanes sometimes veer off course. Which of the words or groups of words is the simple predicate? veer predict hurricanes paths predict work hard Which of the following motives is most important for Ravi in the story? a. Because he is a secretive person, he usually hides his feelings. b. He hopes to defeat the older, bigger boy, Raghu. c. Because his mother wouldnt let him play outside, he wants to punish her. d. He wants to duplicate his fathers childhood popularity. ?es antiptico el se?or lomas? ?son morenas las hijas de sara? ?es fea la hermana de eduardo? ?son viejos los profesores de matemticas? ?son malos los nietos de la se?ora snchez? ?es guapo el novio de teresa? 12 . A server who violates a liquor law can receive a citation from the Concerning yourself with what you can do to positively impact your immediate and global surroundings is what type of wellness?ChemicalEnvironmentalSocialEconomical h(x)=|x+2| Find h(-10) some ancient civilizations used units of measure based on the length of certain seeds. what kind of problems might you expect with such a system ? Great Britain has a _____ form of government.totalitarianparliamentarypresidential Write the decimal number in standard formSix and five hundred and sixteen ten-thousandths What is the main influence of Earth's climate? Dormant and Dominant A. Synonyms B. Antonyms C. Neither Fill in the blank with the correct direct or indirect object pronoun (le, la, l', les, lui, leur, me, te, nous, vous):Tu nous tlphones plus "later"*?D'accord, je ______ tlphone. *Brainly won't let me put in the French word for later, because it is considered a bad word in other places. The technique used by groups to generate as many ideas as possible within a limited amount of time is called (LC) In this speech Roosevelt termed, for the first time, journalists as muckrakers. Muck-rake- n. A rake for scraping up muck or dung Muckrake- v. To search out and publicly expose real or apparent misconduct of a prominent individual or business SATURDAY, APRIL 14, 1906 In Bunyan's Pilgrim's Progress you may recall the description of the Man with the Muck-rake, the man who could look no way but downward, with the muck-rake in his hand; who was offered a celestial crown for his muck-rake, but who would neither look up nor regard the crown he was offered, but continued to rake to himself the filth of the floor. In Pilgrim's Progress the Man with the Muck-rake is set forth as the example of him whose vision is fixed on carnal instead of on spiritual things. Yet he also typifies the man who in this life consistently refuses to see aught that is lofty, and fixes his eyes with solemn intentness only on that which is vile and debasing. Now, it is very necessary that we should not flinch from seeing what is vile and debasing. There is filth on the floor and it must be scraped up with the muck-rake; and there are times and places where this service is the most needed of all the services that can be performed. But the man who never does anything else, who never thinks or speaks or writes, save of his feats with the muck-rake, speedily becomes, not a help to society, not an incitement to good, but one of the most potent forces for evil. There are, in the body politic, economic and social, many and grave evils, and there is urgent necessity for the sternest war upon them. There should be relentless exposure of and attack upon every evil man whether politician or business man, every evil practice, whether in politics, in business, or in social life. I hail as a benefactor every writer or speaker, every man who, on the platform, or in book, magazine, or newspaper, with merciless severity makes such attack, provided always that he in his turn remembers that the attack is of use only if it is absolutely truthful. . . To assail the great and admitted evils of our political and industrial life with such crude and sweeping generalizations as to include decent men in the general condemnation means the searing of the public conscience. There results a general attitude either of cynical belief in and indifference to public corruption or else of a distrustful inability to discriminate between the good and the bad. Either attitude is fraught with untold damage to the country as a whole. The fool who has not sense to discriminate between what is good and what is bad is well-nigh as dangerous as the man who does discriminate and yet chooses the bad. There is nothing more distressing to every good patriot, to every good American, than the hard, scoffing spirit which treats the allegation of dishonesty in a public man as a cause for laughter. Such laughter is worse than the crackling of thorns under a pot, for it denotes not merely the vacant mind, but the heart in which high emotions have been choked before they could grow to fruition. In the line, "Such laughter is worse than the crackling of thorns under a pot, for it denotes not merely the vacant mind, but the heart in which high emotions have been choked before they could grow to fruition," the word "but" shows an opposite relationship between a vacant mind and high emotions, so we can conclude that high emotions are A.negative B.angryC.indifferent D.admirable If the average u.s. consumer spends an additional 98 cents out of each additional dollar that he/she earns, what would the expenditure multiplier be? Steam Workshop Downloader