Answer:
P = 40p + 60Step-by-step explanation:
The formula of a perimeter of a square withe side a:
P = 4a
We have a = 5(2p + 3).
Substitute:
P = 4[5(2p + 3)] use the distributive property
P = 4[(5)(2p) + (5)(3)] = 4(10p + 15) = (4)(10p) + (4)(15)
P = 40p + 60
I really really need help!!!!!!
ANSWER
[tex]y = 5 \sin( \frac{6}{5} x - \pi)-4 [/tex]
EXPLANATION
The given function is
[tex]y = 5 \cos( \frac{3}{5} x - \pi) + 4[/tex]
The period of this function can be determined using the formula:
[tex]T= \frac{2\pi}{ |b| } [/tex]
.
The period is
[tex]T= \frac{2\pi}{ \frac{3}{5} } = \frac{10\pi}{3} [/tex]
Half the period of this function is:
[tex] \frac{ \frac{10\pi}{3} }{2} = \frac{5\pi}{3} [/tex]
The function which has this period is
[tex]y = 5 \sin( \frac{6}{5} x - \pi) -4[/tex]
The first choice is correct.
Can someone help me find the rule?
I think the rule might be x-9
Find two numbers that multiply to 60 and add to 19
the answers are 15 times 4.
What is the length of segment BC. ( ) units
Answer:
BC = 144 units
Step-by-step explanation:
It is given a line segment BC.
D is the point on the line segment.
To find the length of BC
BC = 8x
CD = 3x + 8 and BD = 4x + 10
BC = CD + BD
8x = 3x + 8 + 4x + 10
8x = 7x + 18
x = 18
BC = 8x = 8 * 18 = 144 units
Therefore the length of segment BC = 144 units
Segment BC is 144 units
The distance of a pathway around a park is 4 1/5 miles. The park manager wants to place lampposts every 3/10 mile. How many lampposts in all will be places in the pathway A - 12 B- 14 C- 24 D- 28
Answer:
14
Step-by-step explanation:
Distance of the pathway around a park = 4 1/5 miles
Distances between lamppost = 3/20 miles
Numbers of 3/10 intervals
= 4 1/5 ÷ 3/10
= 21/5 x 10/3
= 14
Number of lamp posts = 14
28 because the number of spots in the pathway where the lampposts will be placed is 1/5 divided by 3/10=14. since each spot will have 2 lampposts, there will be 14*2=28 lampposts in all.
hope this helped!!!!!!!!!!!!!!!!!!!!!!!!
How does the combined volume of the small cubes compare to the volume of the large cube
Answer: A large cube consists of smaller cubes. The more small cubes, the greater the large cube.
Step-by-step explanation:
Karen has a cube that has a length of 6 inches. What is the surface area of this cube?
Answer:
circle
Step-by-step explanation:
Answer:
216 in²
Step-by-step explanation:
A cube has 6 congruent square faces, thus
area of 1 face = 6 × 6 = 36 in² and
area of 6 faces = 6 × 36 = 216 in²
Evaluate cos 90°. Round your answer to the nearest hundredth if necessary
Cos(90)= 0.00
It is only zero
The value of cosine 90°. or cos 90° is 0.
What are Trigonometric ratios?Trigonometric ratios are the ratios of the length of sides of a triangle.
In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent.
We know that,
According to the trigonometric table the value of cos 90° is 0.
i.e., cos 90°.
This is because there is no horizontal component of the angle: The horizontal component of the angle is 0, so, the cosine of 90° is 0.
In other words,
the cosine of an angle tells the size of the adjacent side of a right triangle compared to the hypotenuse. Look at the unit circle to see why the adjacent side (the x axis) has a width of 0 when the angle between the initial arm and the terminal arm is a right angle.
Thus, value of cos 90 is 0.
Learn more about trigonometry here:
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A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1 shirt is $18. If s represents the cost of 1 shirt, which equation could you use to find the cost of 1 shirt?
The total cost of 1 pair of pants and 1 shirt is $18 . If s represents the cost of 1 shirt, which equation could you use to find .
For this case we propose a system of equations:
p: Variable representing the cost of a pair of pants
s: Variable representing the cost of a shirt
A pair of pants costs twice as much as a shirt, means:
[tex]p = 2s[/tex]
The total cost of 1 pair of pants and 1 shirt is $ 18:
[tex]p + s = 18[/tex]
We substitute the first equation in the second:
[tex]2s + s = 18\\3s = 18\\s = \frac {18} {3}\\s = 6[/tex]
Answer:
The following equation can be used:
[tex]2s + s = 18[/tex]
a school cafeteria makes cheese sauce for macaroni using 15 cups of swiss cheese 17 cups of cheddar cheese. Perry tries to make the sauce for a family party using 5 cups of swiss cheese and 7 cups of cheddar cheese. is Perry using the correct ratio? explain. (pls do explain. it's on my school work and I need an explanation.)
(middle school ratios)
Cafeteria ratio of Swiss cheese to cheddar cheese is 15:17.
Perry’s ratio of Swiss chess to cheddar cheese is 5:7.
Wrong ratio because 5 * 3 = 15 but 7 * 3 does not equal 17.
For this case we have that by definition, it is known as proportion to the relationship of equality that exists between two reasons, that is, between two comparisons. That is: if [tex]\frac {a} {b}[/tex]is a ratio, then the equality [tex]\frac {a} {b} = \frac {c} {d}[/tex] will be a proportion.
Then, 15 cups of Swiss cheese for every 17 cheddar:
1[tex]5:17\\\frac {15} {17}[/tex]
We want to verify the proportion:
[tex]15:17 :: 5: 7\\\frac {15} {17} = \frac {5} {7}\\7 * 15 = 5 * 17[/tex]
Equality is not met!
Answer:
You are not using the correct proportion
Which of the points A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10) belong to the graph of direct variation y=− 1/2x?
Answer:
B
Step-by-step explanation:
To solve this, we can plug in values to see which one works. Since it is a variable equals a variable, the answer is B(0,0)
Lily is going to give away all the pieces of candy in a bag. She can give an equal number of pieces of candy to 5, 3, or 2 people. Which number of pieces of candy could be in Lily’s bag?
A. 12
B. 20
C. 30
D. 45
Answer:C 30
Step-by-step explanation: They all divide evenly when divided by 30.
13+(-29)=
I NEED HELP FAST!!!!!!
Answer:
-16
Step-by-step explanation:
13+(-29) = 13-29 = -16
Answer: -16
Step-by-step explanation:
Try Subtracting 13 from positive 29. This will help you out!
Solve 5x + 8 < 3(x + 2)
Answer:
x < - 1
Step-by-step explanation:
Given
5x + 8 < 3(x + 2) ← distribute
5x + 8 < 3x + 6 ( subtract 3x from both sides )
2x + 8 < 6 ( subtract 8 from both sides )
2x < - 2 ( divide both sides by 2 )
x < - 1
The inequality 5x + 8 < 3(x + 2) simplifies to x < -1.
To solve the inequality 5x + 8 < 3(x + 2), we must simplify and isolate the variable x. We start by distributing the 3 on the right side:
5x + 8 < 3x + 6
Next, we'll subtract 3x from both sides to get:
2x + 8 < 6
Now subtract 8 from both sides to isolate the term with x:
2x < -2
Finally, we divide both sides by 2:
x < -1
The solution to the inequality is all x-values that are less than -1.
on a piece of paper, graph f(x)= x if x<1
Answer:
see below
Step-by-step explanation:
The function is only defined for x < 1, and is undefined for x=1 or more. Thus the graph stops at x=1, with an open circle indicating the function is not defined there.
Answer:
The required graph is shown in figure 1.
Step-by-step explanation:
Consider the provided function f(x)=x if x<1
Here the sign of inequality is x<1.
That means the value of x can be anything less then 1.
Note the sign "<" indicates that the value x is strictly less than 1 also it is not equal to 1.
For x=1 the function is not defined.
For the inequity "<" and ">" we use an open dot or open circle which shows that the value is not included.
Now draw the table and substitute some value of x as shown.
Substitute x=0 in the provided equation.
f(x)=0
For x=0 the value of f(x) is also 0.
Substitute x=-1
f(x)=-1
For x=-1 the value of f(x) is also -1.
Substitute x=-2
f(x)=-2
For x=-2 the value of f(x) is also -2.
The required table is shown below:
x 0 -1 -2
f(x) 0 -1 -2
Now plot the above points and join them.
The required graph is shown in figure 1.
Once you practice evaluating logarithmic expressions, you will be prepared to work with ........ functions.
Exponential
Linear
Logarithmic
The answer is logarithmic
Answer:
Logarithmic .
Step-by-step explanation:
When we evaluate the logarithmic expression then we prepared to work
with logarithmic function
If , I want to solve the logarithmic expression then first we should know about the logarithmic theorem rules .
If ,I don't know about the logarithmic rules then we can't evaluate the logarithmic expression.
So , first we should do practice with logarithmic function and we should know how to use of logarithmic rules during evaluating the logarithmic expression .
Logarithmic rules :
[tex]Log \frac{m}{n}= log m - log n[/tex]
[tex]log m\times n= log m+ log n[/tex]
[tex]log a^b= bloga[/tex]
For example ; we have [tex]log\frac{3}{4}[/tex]
Therefore, by using logarithmic rule then we get
[tex]log\frac{3}{4} = log 3- log 4[/tex]
Therefore, if i want to evaluate the logarithmic expresssion then i will be prepared to work with logarithmic function .
Mine A is 225 feet underground and Mine B has an elevation of -223 feet. Which mine is further underground
Answer: Mine A
Step-by-step explanation: Mine A is further underground because elevation means height and when it’s shows a number that is negative that means underground. 225 is greater than 223. So Mine A is further underground.
Answer:
Step-by-step explanation:
Mine A, Mine B is not even a mine, its negative, not a hole
Given f(x) = x3 – 2x2 – x + 2,
the roots of f(x)
f(x) = x³ – 2x² – x + 2
0 = x3 – 2x2 – x + 2
(x-2)(x-1)(x+1)=0
x1=-1
x2=1
x3=2
For this case we must follow the steps below:
We factor the polynomial, starting by factoring the maximum common denominator of each group:
[tex]x ^ 2 (x-2) - (x-2)[/tex]
We factor the maximum common denominator[tex](x-2):[/tex]
[tex](x-2) (x ^ 2-1)[/tex]
Now, by definition of perfect squares we have:
[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]
Where:
[tex]a = x\\b = 1[/tex]
Now, we can rewrite the polynomial as:
[tex](x-2) (x + 1) (x-1)[/tex]
To find the roots we equate to 0:
[tex](x-2) (x + 1) (x-1) = 0[/tex]
So, the roots are:
[tex]x_ {1} = 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]
Answer:
[tex]x_ {1} = 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]
what is the volume of a oblique cylinder with a height of 18 and a radius of 10
Answer:
[tex]V=1,800\pi\ units^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=10\ units[/tex]
[tex]h=18\ units[/tex]
substitute
[tex]V=\pi (10)^{2}(18)[/tex]
[tex]V=1,800\pi\ units^{3}[/tex]
The function g(x) is graphed on the coordinate grid.
Which statements are true of g(x)? Check all that apply.
Answer:
the function g(X) is a translation of [tex]f(x) = \sqrt{x}[/tex]
the range is {y|y≥-1}
the function g(x) can be translated 3 units right and 1 unit up to get the function [tex]f(x) = \sqrt{x}[/tex]
Step-by-step explanation:
Given the graph of a function g(x)
g(x) looks like a square root function
So parent function is [tex]f(x) = \sqrt{x}[/tex]
the function g(X) is a translation of [tex]f(x) = \sqrt{x}[/tex]
the domain is {x| x ≥ -3}
the range is {y|y≥-1}
The parent function [tex]f(x) = \sqrt{x}[/tex] starts at (0,0)
so g(x) is translated 3 units left and 1 unit down
the function g(x) can be translated 3 units right and 1 unit up to get the function [tex]f(x) = \sqrt{x}[/tex]
Answer:
The correct options are 1, 3 and 5.
Step-by-step explanation:
The given function is a continuous increasing curve which is increasing at decreasing rate. It means it is the graph of a radical function.
Parent radical function is
[tex]f(x)=\sqrt{x}[/tex]
It means function g(x) is the translation of function [tex]f(x)=\sqrt{x}[/tex]. Option 1 is correct.
Domain is the set of input values.
Function is defined for all x ≥ -3.
Domain = { x | x ≥ -3 }
Option 2 is incorrect.
Range is the set of output values.
The values of the function are always greater than or equal to -1.
Range = { y | y ≥ -1 }
Option 3 is correct.
The graph of parent function [tex]f(x)=\sqrt{x}[/tex] shifts 3 units left and 1 unit down to get the graph of g(x). So the function g(x) is defined as
[tex]f(x)=\sqrt{x+3}-1[/tex]
Option 4 is incorrect.
The function g(x) can be translated right 3 units and up 1 unit to create the function [tex]f(x)=\sqrt{x}[/tex].
Option 5 is correct.
WILL GIVE BRAINEST IF CORRECT!!!!!
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 8 inches?
Answer:
6 inches
Step-by-step explanation:
area of triangle = 1/2 b* h
24 = 1/2 * 8* h
4h = 24
divide both sides by 4
h = 6 inches
Area is 1/2 x base x height.
24 = 1/2 x 8 x H
Multiply both sides by 2:
48 = 8 x Height
Divide both sides by 8:
Height = 48 / 8
Height = 6 inches.
1.The two legs of a right triangle measures 3 feet and 2 feet. What is the length of the hypotenuse?
Answer:
5; you add the two legs for the hypotenuse
Step-by-step explanation:
The length of the hypotenuse is 5 feet.
How to know the length of the hypotenuse of this right triangle:
The hypotenuse is the opposite side of the right angle in the triangle. It’s also the longest side of the triangle.
The Pythagorean Theorem helps us calculate the hypotenuse of a right triangle if we know the sides of the triangle.
Here, a = 3 feet.
b = 2 feet.
Then hypotenuse will be = (√3 + √2) feet
= 5 feet.
The answer is 5 feet.
Learn more about hypotenuse of a triangle, refer:
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Distance Between Points
Choose all that correctly give the distance in the coordinate plane between two points.
(−5, 8), (5, 8)
d = 10
(3, 8), (3, −6)
d = 12
(−2, −9), (−2, 4)
d = 13
(8, −7), (1, −7)
d = 9
(−12, −4), (−6, −4)
d = 6
Answer:
(−5, 8), (5, 8)
d = 10
(−2, −9), (−2, 4)
d = 13
(−12, −4), (−6, −4)
d = 6
Step-by-step explanation:
Answer:
(−5, 8), (5, 8)
d = 10
(−2, −9), (−2, 4)
d = 13
(−12, −4), (−6, −4)
d = 6
Step-by-step explanation:
find the geometric mean between 7 and 12
Answer:9.2
Step-by-step explanation:
y=6x+1 for x=5. what is the solution
Answer: y=31
Step-by-step explanation
If x=5 and y=6x+1, you plug in 5 for x in the equation y=6x+1.
This would cause it to be y=6(5)+1.
Then you multiply 6*5, which equals 30. thatll turn into y=30+1
30+1=31, so y=31
Answer:
Y = 31
Step-by-step explanation:
Replace x with 5
Y = (6*5) + 1
Use PEMDAS
Parentheses
Exponent
Multiplication
Division
Subtraction
Addition
6 * 5 = 30
Y = 30 + 1
30 + 1 = 31
Y = 31
I hope I helped!
Let me know if you need anything else!
~ Zoe
At Camper’s Paradise, sales have increased 15%, 20%, and 10% over the past three years; that is, 15% three years ago, 20% two years ago, and 10% one year ago. If sales this year are $1,000,000, how much were sales three years ago? Round each year’s sales to the nearest dollar.
Answer:
10000000
Step-by-step explanation:
Phillipa earns $10 for each haircut she gives.
Which equation shows the amount Phillipa will earn if she gives h haircuts?
(Use t to represent the total earned, and h to represent the number of haircuts.)
a. t = 10 + h
b. t = 10h
c.t = 10 – h
d. t = 10/h
Answer is B, Just some mutiplaction
Change 455 cm to meters
Answer:
4.55 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
your answer is 4.55 :)
PLZ HURRY IT'S URGENT!!
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle? A. 35 feet B. 13 feet C. 44 feet D. 22 feet
Answer: C) 44
======================================
Work Shown:
P = 2*(L+W)
P = 2*(13+9) ... plug in given length and width
P = 2*22
P = 44
Answer:
Step-by-step explanation:
which equation in slope intercept form contains the point (4, -1) and has a slope of 3
Answer:
Final answer is [tex]y=3x-13[/tex].
Step-by-step explanation:
Given that slope of the line is m=3
Plug the given point (4,-1) and the slope m=3 into point sloep formula:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-(-1)=3\left(x-4\right)[/tex]
[tex]y+1=3\left(x-4\right)[/tex]
[tex]y+1=3x-12[/tex]
[tex]y=3x-12-1[/tex]
[tex]y=3x-13[/tex]
Which looks like slope intercept form of line y=mx+b
Hence final answer is [tex]y=3x-13[/tex].
The answer is:
The equation in slope-intercept form is:
[tex]y=3x-13[/tex]
Why?To solve the problem and find equation in slope-intercept form of the line, we need to use the following formula:
[tex]y=mx+b[/tex]
We are given the slope of the line, so, rewriting we have:
[tex]y=3x+b[/tex]
Then, to find "b" we need to substitute the given point into the equation, so, substituting we have:
[tex]y=mx+b[/tex]
[tex]-1=3*(4)+b[/tex]
[tex]-1=12+b[/tex]
[tex]b=-1-12=-13[/tex]
Therefore, writing the equation of the line, we have:
[tex]y=3x-13[/tex]
Have a nice day!