SOMEONE PLEASE HELP ME!!!!!!!!!!!! 100 points and brainliest answer to whoever answers all 3 correctly first!!!!!!!!!!!
1. (picture 1, 2nd answer is not correct, question & answers in picture)
2. (picture 2, 1st answer is not correct, question & answers in picture)
3. (picture 3 and text below, 2nd answer is not correct. The answers to this question is in picture 3)
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees who have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees who have been with the company for at least three years, but fewer than six years can expect an increase of $1.00. Employees who have been with the company for at six years, but fewer than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but fewer than twelve years receive an increase of $2.00.

Which of the following tables accurately represents the hourly wage increase for some of the employees?

SOMEONE PLEASE HELP ME!!!!!!!!!!!! 100 Points And Brainliest Answer To Whoever Answers All 3 Correctly
SOMEONE PLEASE HELP ME!!!!!!!!!!!! 100 Points And Brainliest Answer To Whoever Answers All 3 Correctly
SOMEONE PLEASE HELP ME!!!!!!!!!!!! 100 Points And Brainliest Answer To Whoever Answers All 3 Correctly

Answers

Answer 1

1st picture ix X <4 then y = -X+8

 when x = 2 y = -2+8 = 6

Last table works.


2nd picture :

0.50 <3

1.00  at least 3 less than 6

1.50 at least 6 but less than 9

2.00 at least 9 less than 12

2nd function works and 2nd table works





Related Questions

Veronica deposited $21 in a savings account that earns 2.4% simple interest. Which graph represents this scenario?

Answers

Where’s the graph at?

Answer:

The below graph represents this scenario.

Step-by-step explanation:

Given,

The deposited amount, P = $ 21,

Annual interest rate, r = 2.4 % = 0.024,

Thus, the simple interest after x years,

[tex]y=P\times r\times t[/tex]

[tex]=21(0.024)(x)[/tex]

[tex]=0.0504x[/tex]

If x-axis shows the number of years and y axis represents the simple interest after x years,

So, y = 0.0504x is a line passes through the origin which will show the given scenario,

( shown below )

Also, x ≥ 0 ( number of years can not be negative )

What is the difference between the profits Mr.Brown's store earned in the first quarter and the third quarter?

a. $2,411.44
b. $2,814.64
c. $3,004.54
d. $3,214.78

Answers

The answer is A, because $9,841.28 minus $7,429.84 is $2,411.44

Answer:

Option a. $2,411.44

Step-by-step explanation:

In the table the profit of Mr. Brown's store in all quarters of 2012  was given.

In Quarter 1 Profit was = $9,841.28

In Quarter 2 profit was = $8,957.67

In Quarter 3 profit was = $7,429.84

In Quarter 4 profit was = $11,095.67

To find out the difference between the profits earned in the first quarter and the third quarter, we subtract it.

Difference between profits = 9,841.28 - 7,429.84 = $2,411.44

Answer would be Option a. $2,411.44

use the triangle to answer the question.

Which equation shows a correct relationship of trigonometric functions?

sin x/cos y=0

sin x/ cos x =0

sin x/ cos x =1

sin x/ cos y =1



Answers

Answer: Choice D) sin(x)/cos(y) = 1

---------------------------------------------
---------------------------------------------

Label the sides as shown in the image attachment. 

P = horizontal leg (opposite of angle x; adajcent to angle y)
Q = vertical leg (opposite of angle y; adajcent to angle x)
R = hypotenuse (longest side; always opposite the 90 degree angle)

Use the definitions of sine and cosine to say...

sin(Angle) = opposite/hypotenuse
sin(x) = P/R

and

cos(angle) = adjacent/hypotenuse
cos(y) = P/R

Notice how sin(x) = cos(y). This is true any time x+y = 90 which is the case here (x and y are complementary angles). A more specific example is sin(30) = cos(60) which are both equal to 1/2 or 0.5

Since sin(x) = cos(y), this means sin(x)/cos(y) = 1 as any expression divided by itself is equal to 1. Keep in mind that cos(y) cannot equal zero.

This is why choice D is the final answer.

side note: something like cos(x)/sin(y) or sin(y)/cos(x) or similar are all equal to 1 as long as x+y = 90

Which situation is mostly a constant rate of change?

Answers

c is the answer. There you go. Your welcome.

Answer:B

Step-by-step explanation: The distance traveled by a truck driving at a constant speed compared with time.

Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-9 8. x=-8

Answers

Final answer:

After solving the original equation 2/3(6x+12)=-24, we find x = -8. Comparing this solution with the provided equations, the ones that have the same value for x are 9x+18=-24, 18x+36/2=-24, and x=-8.

Explanation:

To find which equations have the same value for x as 2/3(6x+12)=-24, we must first solve the original equation to find the value of x it yields:

2/3(6x+12) = -24
Multiply both sides by 3/2 to eliminate the fraction:
6x + 12 = -24 * (3/2)
6x + 12 = -36
Subtract 12 from both sides:
6x = -48
Divide by 6:
x = -8

Now we will compare this solution with the other equations:

4x+8=24 -> Does not match.9x+18=-24 -> When solving for x, we get x=-8, which matches.4x+12=-24 -> Does not match.18x+36/2=-24 -> Simplify to get 9x+18=-24, x = -8, matches.4x=-36 -> Does not match.4x=-32 -> Does not match.x=-9 -> Does not match.x=-8 -> Directly given the solution, which matches.

Therefore, the equations that have the same value of x as the original equation are 9x+18=-24, 18x+36/2=-24, and x=-8.

1: -(5x + 7) + 1 = -5x -5

2: 4x - 7 + 2x = 2(3x - 3) - 1

3: -4x - 2 = -2(1 - 4x)

Answers

1. -5x - 7 + 1 = -5x - 5 
-5x -6 = -5x + 5 
-5x - 6 + 6 = -5x +5 + 6
-5x = -5x +11 
-5x + 5x = -5x + 5x + 11
0 does not equal 11 so there is not solution to number 1 or you can write 0 does not equal 11. 

2. 4x - 7 + 2x = 2(3x-3) -1
6x - 7 = 6x -6 -1 
6x -7 + 7 = 6x -7 + 7 
(6x = 6x) / 6 
x = x; this is an identity which means x can be any real number and the value will still be equal. 

3. -4x -2 = -2(1 - 4x)
-4x - 2 = -2 + 8x 
-4x - 2 + 2 = -2 + 2 + 8x 
(-4x = 8x) / -4
x = -2x ; there is no real answer 
 

Find the area in the right tail more extreme than z= 3.01 in a standard normal distribution

Answers

Final answer:

To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

Explanation:

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

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Final answer:

To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

Explanation:

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

Learn more about right tail, p-value, standard normal distribution here:

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Final answer:

To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

Explanation:

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

Learn more about right tail, p-value, standard normal distribution here:

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Michael rented a truck for one day. there was a base fee of $19.95 , and there was an additional charge of 96 cents for each mile driven. michael had to pay $147.63 when he returned the truck. for how many miles did he drive the truck?

Answers

147.63 - 19.95 = 127.68, this is the cost of the miles driven, 127.68÷0.96 = 133 miles

Help please thanks!!!!!!!!!!!

Answers

C(t) = P(1+r)^t

A) is WRONG: since the population is INCREASING, then r > 0

B) is incomplete: since the value of C depends ALSO on r (that is missing)

C) is Wrong: since only r is a percentage and NOT 1+r

D) WRIGHT: Prove:

C(t) = P(1+r)^t if t = 0 then C₀ = P(1+r)⁰ or
any number with zero exponent is EQUAL to 1, so

C₀ = P(1+r)⁰ → C₀ = P(1) = P

Answer:

P represents the population in year 0

Step-by-step explanation:

A group of students is investigating whether copper is a better thermal conductor than steel. The students take a copper wire and a steel wire of the same length and diameter. They put equal lengths of wax on one end of each wire and dip the other end into a beaker of hot water. The length of wax left on the wires after 10 minutes is shown.


Experimental Observations
Copper Steel
Original length of wax: 3 cm 3 cm
Length of wax after 10 minutes: 0.7 cm 1.8 cm


What was the dependent variable in this experiment?
Type of wire used
Original length of wire
Original length of wax
Thermal conductivity of wire

Answers

The correct dependent variable in this experiment is the Length of wax after 10 minutes.

In the context of an experiment, the dependent variable is the variable that is being measured or tested in the experiment. It is the outcome that the experimenters are interested in observing to determine the effect of the independent variable.

 In this case, the students are investigating the thermal conductivity of copper and steel wires by observing how much wax melts over a fixed period of time when the wires are heated. The independent variable is the type of wire used (copper or steel), as this is what the students are changing to see its effect on the dependent variable.

The dependent variable is the length of wax remaining after 10 minutes because this measurement is expected to change based on the thermal conductivity of the wire. The better the thermal conductor, the more heat will be transferred along the wire, and the more wax will melt. Since the students are measuring how much wax has melted (by subtracting the length of wax after 10 minutes from the original length), this is the dependent variable.

The original length of wire and the original length of wax are control variables; they are kept constant to ensure that any differences in the dependent variable are due to the independent variable (the type of wire) and not due to other factors. The thermal conductivity of the wire is a property being indirectly measured through the observation of the dependent variable. It is not directly measured and thus is not the dependent variable.

Sally is choosing what classes to take next year. She must take a math, a science, a fine arts, and a foreign language. If there are 4 math classes, 3 science classes, 5 fine arts classes, and 2 foreign languages classes to choose from, how many different schedules can she have?

Answers

She can 120 different schedules. You multiply everything out. :)

A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour. (1 point)
A• 2
B• 8
C• 4
D•3

Answers

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

First Jet Sky Company

[tex]y=24.00+2.25x[/tex] ---------> equation [tex]1[/tex]

Second Jet Sky Company

[tex]y=23.00+2.50x[/tex] ---------> equation [tex]2[/tex]

we know that

To find the number of hours for which the costs are the same

equate equation [tex]1[/tex] and equation [tex]2[/tex]

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure  

the intersection point is [tex](4,33)[/tex]

That means

For [tex]x=4\ hours[/tex]

the cost of the rent is [tex]y=\$33[/tex] in both companies

therefore

the answer is

[tex]4\ hours[/tex]

For 4 hours of booking, the charges paid to both the companies should be same. And the charge will be $ 30.

Let x be the number of hours of booking per jet ski.

First company charges $24.00 plus $2.25 per hour to rent a jet ski.

So, the total cost paid for x hours to the first company will be,

[tex]C_1=24+2.25x[/tex]

Second company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.

So, the total cost paid for x hours to the second company will be,

[tex]C_2=23+2.5x[/tex]

Now, the charge paid to both the companies should be same. For this condition, the number of hours of booking per jet ski should be,

[tex]C_1=C_2\\24+2.25x=23+2.5x\\1=0.25x\\x=4[/tex]

Therefore, for 4 hours of booking, the charges paid to both the companies should be same. And the charge will be,

[tex]24+2.25\times4=\$33[/tex].

For visuals, refer the attached graph.

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Let x represent any year write an inequality in terms of x and 1822 that is true only for values of x that represent years before the year that Brazil started its war for independence and

Answers

Answer: x<1822

I just did it.

Find the center and radius for the circle defined by the equation x^2 + y^2 + 5x -y + 2

Answers

Answers:

Center is (-2.5, 0.5)
Radius is 2.12 units

Note: the value of the radius is approximate and rounded to 2 decimal places
If you need the exact value in terms of a square root, then the exact radius is sqrt(4.5) units long where 'sqrt' stands for 'square root'

-----------------------------------
-----------------------------------

Work Shown:

We need to complete the square for the x and y terms

x^2 + y^2 + 5x - y + 2 = 0
(x^2 + 5x) + (y^2 - y) + 2 = 0
(x^2 + 5x + 6.25 - 6.25) + (y^2 - y) + 2 = 0 .... see note1 below
(x^2 + 5x + 6.25 - 6.25) + (y^2 - y + 0.25 - 0.25) + 2 = 0 .... see note2 below
(x^2 + 5x + 6.25) - 6.25 + (y^2 - y + 0.25) - 0.25 + 2 = 0 
(x^2 + 5x + 6.25) + (y^2 - y + 0.25) + (-6.25 - 0.25 + 2) = 0 
(x^2 + 5x + 6.25) + (y^2 - y + 0.25) - 4.5 = 0 
(x + 2.5)^2 + (y - 0.5)^2 - 4.5 = 0 
(x + 2.5)^2 + (y - 0.5)^2 = 4.5

So the center is (-2.5, 0.5) and the radius is roughly 2.12 units, which is the result of taking the square root of 4.5

sqrt(4.5) = 2.12132 approximately and that rounds further to 2.12

----------------------

Note1: I took half of the x coefficient 5 to get 2.5, then I squared that to get 6.25. This value is added and subtracted on the same side to keep things balanced. The goal of doing all this to complete the square for the x terms

Note2: Similar to note1 above, but this time it's for the y terms. In this case, the y coefficient is -1. Half of that is -0.5 which squares to 0.25. The value of 0.25 is added and subtracted on the left side to keep things balanced. 


how do you solve the equations:

-(1+4m)-6m=-81

and

238=-5(6v-7)-7

Answers

-(1+4m)-6m=-81
 -1-4m-6m=-81
-1-10m=-81
+1          +1
-10m=-80
---------------
-10
m=8

--------------------
238=-5(6v-7)-7
238=-30v+35-7
238=-30v+28
-28            -28
210=-30v
---------------
-30
v=7
To solve an equation, we need to isolate the variable and simplify out other terms. In these equations, we will use the distributive property.

-(1+4m)-6m=-81     We start with our equation.
-1-4m-6m=-81     We distribute our "-."
-1-10m=-81     We combine our like-terms.
+1           +1
-10m=-80     We add1 to both sides (to isolate the variable).
/-10    /-10
m=8     We divide by -10 on both sides (to isolate the variable).

With the math above, we know that the solution to the first equation is that m=8. Now let's begin the second.

-5(6v-7)-7=238     We start with our equation.
-30v+35-7=238     We distribute our "-5."
-30v+28=238     We combine our like-terms.
        -28   -28
-30v=210     We subtract 28 from both sides (to isolate the variable).
/-30   /-30
v=-7     We divide by -30 on both sides (to isolate the variable).7

Using the math above, we can see that the solution to the second equation is v=-7.    
    

the number of peaches, p, is three less then twice the number of grapes,g. which expression represents the number of peaches in terms of the number of grapes?

Answers

Peaches is three less than twice the number of grapes
So p=2g-3

At North parking garage it costs $5 to bring your car into the garage plus $2 for every hour the car is parked

Answers

theres not a question so im assuming the question is asking how to set up the equation? itd be 5+2x. x is the number of hours your car is parked kn the garage.

The equation relating the total cost with the number of hours will be c = 2.25h + 5.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have North parking garage where it costs $5 to bring your car into the garage plus $2.25 for every hour the car is parked.

Assume that [h] represents the number of hours the car was parked and [c] represents the total cost. Then, we can write the equation relating the total cost with the number of hours will be -

c = 2.25h + 5

Therefore, the equation relating the total cost with the number of hours will be c = 2.25h + 5.

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[The complete question is -

At the North parking garage it costs $5 to bring your car into the garage plus $2.25 for every hour the car is parked. If h, represents the number of hours the car was parked and c, represents the total cost, which equation would model this situation?]

Jalen has a balance of $1870 on a credit card with an APR of 19.7%, compounded daily. About how much will he save in interest over the course of a year if he transfers his balance to a credit card with an APR of 16.5%, compounded monthly. (Assume that Jalen makes no payments or new purchases during the year, and ignore any possible late payment fees.)

Answers

The formula is
A=p (1+r/k)^kt
A future value
P present value
R interest rate
K compounding periods
T time

When the compounding periods are daily balance after one year is
A=1,870×(1+0.197÷365)^(365×1)
A=2,277.06

When the compounding periods are monthly balance after one year is
A=1,870×(1+0.165÷12)^(12×1)
A=2,202.99

So will save
2,277.06−2,202.99
=74.07....answer

Hope it helps!

The following triangle CAT is transformed using a translation: Triangle CAT is shown. C is at 0, 0, A is at negative 2, 1, T is at negative 1, 4. Which could be coordinates of C'A'T' after the translation? (4 points) Select one: a. C=(0,0), A=(2,1), T=(1,4) b. C=(2,0), A=(0,1), T=(1,4) c. C=(0,0), A=(−1,−2), T=(−4,−1) d. C=(−2,0), A=(−1,0), T=(−4,1)

Answers

the answer would be b. C=(2,0), A=(0,1), T=(1,4)

all x's move 2 to the right and no change in y


Solution: If a shape is being translated neither it's shape nor size changes.When we translate a shape we just move a shape or geometrical figure by certain distance either horizontally or vertically or both horizontally and vertically.

Coordinates of Triangle CAT is →C(0,0), and A(-2,1), and T(-1,4).

In option (a) vertices C has not been translated , but A and T are translated.Which is Untrue because we have to move all the vertices by same value. But x and y can have different value.

In option (b) all the coordinates C,A,and T is being translated along→ x by 2 units , horizontally right, but not translated in vertical direction.  

C(0,0)⇒C(0+2,0+0)→C(2,0)

A(-2,1)⇒C(-2+2,1+0)→C(0,1)

T(-1,4)⇒C(-1+2,4+0)→C(1,4)

In option C, Coordinates of A and B are changed but not of C, So in this case translation can't happen.

In option D , C is being translated 2 units horizontally left ,  but amount of translation in A and T are different.

So , Option (b) is true.

One angle of an isosceles triangle measures 100°. which other angles could be in that isosceles triangle? choose all that apply. 20° 30° 50° 40° submit

Answers

both of the other angles are 40° because a triangle has a total angle of 180° and an isosceles triangle means that at least two of the sides have to be the same length (two angles must be the same)
180 - 100= 80
80 ÷ 2 = 40

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The other angles in the isosceles triangle are 40°.

Option D is the correct answer

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

One angle = 100°

We know that,

In an isosceles triangle, there are two equal sides and two equal angles opposite to the equal sides.

The sum of the three angles in the isosceles triangle is 180.

We already have,

One angle = 100°

The other two should be equal.

The sum should give us 180°.

Now,

40 + 40 = 80

100 + 80 = 180°

Thus,

The other angles in the isosceles triangle are 40°.

Option D is the correct answer

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How is the theme of deception introduced twice in this scene?

Answers

Deception is one of the key themes in Othello, written by William Shakespeare. From the very beginning of the play, Iago deceives Othello and reveals his true intentions to the audience, but never to Othello. Cassio, another key character, is having an affair with Desdemona in an attempt to gain a position with the Moor.

Which of the following is a step in constructing a circle circumscribed about a triangle?

a. Use a compass to locate the intersection of the midpoint of each side.
b. Use the perpendicular bisectors to find the center of the circle.
c. Use a compass to locate the intersection of the altitude of each side.
d. Use the angle bisectors to find the center of the circle.

Answers

i think it is the last one

Answer:

Answer B is correct

Line l has a _____ slope.



positive
negative
undefined
0

Answers

Line l is a positive slope

Answer: positive

Step-by-step explanation:

The slope of a line is given by:-

[tex]m=\dfrac{\text{rise}}{\text{run}}[/tex]

From the given picture, it can be seen that the rise in the line l is positive since the change in the y coordinates increases as we from left to right.

Similarly we can see that  the run in the line l is positive since the change in the x coordinates increases as we from left to right.

By using above formula, the slope of line m is positive.

What is the end behavior of f(x) = |3x - 2| + 4?

Answers

Answer:

It rises to the left and rises to the right.

Step-by-step explanation:

Your football team gained four yards on the first down into yards on the second down during its last possession which number is the additive inverse of yards gained
A-2
B -6
C 4
d 6

Answers

Is C supposed to -4 bc if it is then C is the answer, bc all it is, is the opposite of the original number.

Answer:

B. -6

Step-by-step explanation:

There is a mistake in the question. It would have to say:

Your football team gained four yards on first down and two yards on second down during its last possession

So, your team gained 4 + 2 = 6 yards.

Calling x, the additive inverse of 6, the following equation must be satisfied:

6 + x = 0

x = 0 - 6

x = -6

Find the ratio a:b, if it is given that ... 2a-3b/5 = a+b/3

Answers

Multiply both sides by 5 and 3 (×15) to remove denominator
30a-9b=15a+5b
15a=14b
Ratio is 15:14

On a family trip, 100 miles were traveled at a rate of 60 miles per hour and another 30 miles at 40 miles per hour , what is the average speed for this trip

Answers

average speed = total distance / total time ........(i)

here total distance = 100+30 = 130 miles

time = distance / speed

time for step 1 = t1 = 100/60 = 1.6667 hours
time for step 2 = t2 = 30/40 = 0.75 hours

so total time = t = t1+t2 =2.416667hours

put values of distance and time in equation (i) we get

average speed = 130 / 2.416667 = 53.79 = 53.8 miles per hour

Final answer:

The average speed for the trip is calculated by using the formula of total distance divided by total time. For a total distance of 130 miles and total time of 2.42 hours, the average speed is approximately 53.72 mph.

Explanation:

In order to find the average speed for the entire trip, we need to use the formula which is total distance travelled divided by the total time taken. The total distance travelled is 100 miles at 60mph plus 30 miles at 40mph, which results in 130 miles.

Now, to find the total time taken, we divide the distance travelled by the speed, which is 100 miles at 60mph results in 1.67 hours and 30 miles at 40mph results in 0.75 hours. Hence, the total time taken is the sum of these two times which is 2.42 hours.

Applying the formula for average speed, i.e., total distance divided by total time, we get 130 miles divided by 2.42 hours results in approximately 53.72 mph which is the average speed for the trip.

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A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.

What are the measures of the angles in triangle ABC?

a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°

Answers


m∠A =73.7° 
m∠B = 16.3°
m∠C = 90°

Answer:

(C)

Step-by-step explanation:

It is given that a right triangle, ACB which is right angled at C has BC = 24 inches, and AB = 25 inches.

We know that m∠C=90°,

Using the trigonometry in ΔACB, we have

[tex]sinB=\frac{AC}{AB}[/tex]

Substituting the given values, we get

⇒[tex]sinB=\frac{24}{25}[/tex]

⇒[tex]B=sin^{-1}(0.96)[/tex]

⇒[tex]B=73.7^{\circ}[/tex]

Also, [tex]sinA=\frac{CB}{AB}[/tex]

Substituting the given values, we get

⇒[tex]sinA=\frac{7}{25}[/tex]

⇒[tex]A=sin^{-1}(0.28)[/tex]

⇒[tex]A=16.3^{\circ}[/tex]

Therefore, the measure of the angles in triangle ABC are  m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°.

Thus, option C is correct.

A number cube is rolled 30 times, and a six comes up 5 times. What is the experimental probability that a six is rolled?

Answers

If you roll once the probability of landing on a 6 is 1/6 (cube has 6 sides). 

(1/6)=(5/30)=p

The probability of the cube landing on the number 6 five times is 1 out of 6

find × in this proportion 16/X = x/4
x=

a. 64
b. 32
c. 16
d 8

Answers

The answer to this question is D because 16 divided by 8 is 2 and 8 divided by 4 is 2. I hope this helps you :) 

Answer:

d

Step-by-step explanation:

The proportion given to us is

[tex]\frac{16}{x} =\frac{x}{4}[/tex]

Next we cross multiply to get

[tex]16*4=x*x[/tex]

[tex]64=x^2[/tex]

[tex]x^2=64[/tex]

Take the sqrt on both side to get x

so

[tex]\sqrt{x^2}   = \sqrt{64}[/tex]

x=8

so the correct option is d .

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