can someone help me i am stuck on my quetsion

Answer:

x=59/4 or 14.75 as decimal

Step-by-step explanation:

4x=68-9

4x=59

4x÷4=59÷4 divide both sides by 4 to get x by itself

x=59/4

Answer:

P(erimeter) = 2L(ength) + 2W(idth).

But it is given that L = 2W+2.

Use this fact in the formula for the perimeter.

P = 2(2W+2) + 2W

P = 4W + 4 + 2W = 6W + 4.

P given as 22M, therefore

22 = 6W + 4

Subtract 4 from both sides to get 18 = 6W

Divide both sides by 6 to get W(idth) = 18/6 = 3M

L = 2W + 2 = 2*3 + 2 = 8M

P = 2*8 + 2*3 = 16+6 = 22

Hi! I'm Carriyana!! Glad to help you today! :)

Cole needs to work 28 hrs!!

My steps:

First I did 500/20 and got 25

Then I did 700/25

And ended up with 28

So the answer should be...

Answer:

28 hours

Step-by-step explanation:

To calculate how many hours Cole must work to earn $700, we must first calculate how much he makes per hour.

This can be done by taking the total amount he earned and dividing by the number of hours:

$500 / 20 hours = $25 an hour

Since we now know how much he makes an hour, we can determine how many hours it takes to earn $700 by using a similar equation to the one above:

Total Money / Total Hours = $ an hour

$700 / Total Hours = $25 an hour

It can be represented algebraically as:

700 / x = 25

Then, solve for x:

(700 / x) * x = (25) * x

700 = 25x

(700) / 25 = (25x) / 25

28 = x

28 hours

Answer:

1.2*10^-2

Step-by-step explanation:

-3^0 is 1, because anything to the power of 0 (except for 0) is always equal to 1. 1 is an integer, so this is not the answer.

18/3=6, and 6 is an integer, so this is not the answer either.

1.2*10^-2 = 1.2*0.01 = 0.012, which is not an integer, so this is the answer.

49 is an integer, so this is not the answer:

Therefore, the answer to this problem is 1.2*10^-2

Answer:

1.2 x 10^4

Step-by-step explanation:

Answer:

10 =x

Step-by-step explanation:

-90 = -100 + x

Add 100 to each side to isolate x

-90+100 = -100+100 + x

10 =x

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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40.96 mm

3.2(10) = 32; 3.2 cm → 32 mm

each side of scale drawing is 32 mm

2(10) = 20; 2 cm → 20 mm

scale is 4 mm to 20 mm

\(\frac{4}{20}= \frac{x}{32}\)

cross-multiply:

32(4) = 128

128 / 20 = 6.4

each side of the actual drawing is 6.4 mm.

6.4 * 6.4 = 40.96

40.96 mm

40.96 mm

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that the scaling of drawing is 4mm to 2cm of actual drawing and the scaled drawing side of square earring is 3.2cm.

Now, corelating the scale given which means for 1mm of actual side of earring the drawing scale is 0.5 cm or 5mm. Therefore, for having 3.2 cm of side of earring in drawing let \(x\) be the actual side this is calculated below :

                                                \(\begin{aligned}20 \text{mm}&\rightarrow 4\text{mm}\\32\text{mm}&\rightarrow x\text{\:mm}\\\frac{4}{20}&=\frac{x}{32}\\x&=6.4 \text{mm}\end{aligned}\)

Now, the actual side of earring is 6.4 mm therefore, the area of the front of earring will be : 6.4 mm x 6.4 mm =40.96 mm  

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When dividing powers that have the same base, subtract the exponents.

So 4³/4⁵ is the same as 4³ ⁻ ⁵ or 4⁻².

When we have a base taken to a negative exponent,

it means the same thing as 1 over the base to the positive exponent.

In other words, we can rewrite 4⁻² as 1/4² or 1/16.

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{4^3}{4^5}}\\\\\mathsf{= \dfrac{4\times4\times4}{{4\times4\times4\times4\times4}}}\\\\\mathsf{= \dfrac{16\times4}{16\times16\times4}}\\\\\mathsf{= \dfrac{64}{256\times4}}\\\\\mathsf{= \dfrac{64}{1,024}}\\\\\mathsf{= \dfrac{64\div64}{1,024\div64}}\\\\\mathsf{= \dfrac{1}{16}}}\\\\\mathsf{= \dfrac{1}{4^2}}\\\\\\\huge\text{Therefore, your answer should be:}\\\\\huge\boxed{\mathsf{\dfrac{1}{16}\ or\ \dfrac{1}{4^2}}}\huge\checkmark\\\large\text{Both should work because they are equal to each other}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

896

Step-by-step explanation:

112*8=896

Answer:

14 16,18,20 22,24

so, 6 out of 24

6/24 simplifies to 1/4

Answer: See below

Step-by-step explanation:

Mean:

Since the sample is taken from a large population it follows the central limit theorem, which states that the sample mean is approximately equal to the population mean.

Therefore: \(\bold{\bar{X}=\mu=40.125}\)

Standard Deviation:
Again by central limit theorem the standard deviation of the sample is calculated as:

\(S=\frac{\sigma}{\sqrt{n}}\)

Since n=4, therefore

S = 0.001

Step-by-step explanation:

its either 16 (a) or 975 (d)

Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

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Answer:

78.67

Step-by-step explanation:

The computation of the average for a student is shown below:

= Different Weights × different activities

= (3% × 81) + (9% × 90) + (9% × 92) + (17% × 86) + (17% × 71) + (17% × 93) + (28% × 62)

= 2.43 + 8.1 + 8.28 + 14.62 + 12.07 + 15.81 + 17.36

= 78.67

Hence, the average of the student is 78.67

We simply applied the above formula

Answer:

a) 15yd

b)2.45ft

Step-by-step explanation:

P = perimeter, l=length and w = width of the rectangle

P = 2l+2w

a) 40 = 2l+2(5)

40 = 2l+10

30=2l

15=l

b) 18.4 = 2(6.75) + 2w

18.4 = 13.5+2w

4.9=2w

2.45=w

The cartesian equation is y=x+1 for the parametric equations x(t)=−8t and

y(t)=−8t+1

A cartesian equation for a curve is an equation in terms of x and y only

The two parametric equations are

x=-8t...(1)

y=-8t+1...(2)

Convert the second equation as below.

(1-y)/8=t

Now plug in t= (1-y)/8 in equation 1.

x=-8(1-y)/8=y-1

x=y-1 is one cartesian equation.

Now let us find the other cartesian equation

t=-x/8

Plug in t value in y.

y=-8(-x/8)+1

y=x+1

Hence the cartesian equation is y=x+1 for both parametric equations x(t)=−8t and y(t)=−8t+1

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Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

The projected value of the house after 15 years is $347500.

A house is purchased for $145,000.

The value of the house increases each year by 6% of its value the previous year.

Let y(n) denote the value of the house after n years.

Initial value is $145,000.

⇒ y(0) = 145,000

The value of the house increases each year by 6% of its value the previous year.

Therefore the growth is exponential, and we have

y(n) = y(0)(1+0.06)ⁿ

When n = 1

⇒y(1) = 145000 × (1.06)

⇒y(1) = 153700

When n = 2,

⇒y(2) = 145000 × (1.06)²

⇒y(2) = 162922

Therefore, when n = 15,

⇒y(15) = 145000 × (1.06)¹⁵

⇒y(15) = 3,47,500

Therefore, the projected value of the house after 15 years is $347500.

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Answer:

125.7 yd² (nearest tenth)

Step-by-step explanation:

The formula for the surface area of a cylinder is:

\(\large\boxed{S.A.=2\pi r^2 + 2\pi r h}\)

where:

To find the surface area of a cylinder with radius 2 yd and height 8 yd, substitute r = 2 and h = 8 into the formula and solve for S.A.:

\(\begin{aligned}S.A.&=2\pi \cdot 2^2 + 2\pi \cdot 2\cdot 8\\&=2\pi \cdot 4 + 32\pi\\&=8\pi + 32\pi\\&=40\pi\\&=125.663706...\\&=125.7\; \sf yd^2\;(nearest\;tenth)\end{aligned}\)

Therefore, the surface area of the cylinder is 125.7 yd² (rounded to the nearest tenth).

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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Correct question is;

The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?

Answer:

sinθ = (√544)/25) and cosθ = 9/25

Step-by-step explanation:

We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;

(9/25)² + y² = 1²

y² = 1 - (9/25)²

y² = (625 - 81)/25²

y² = 544/25²

y = ±(√544)/25

We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.

Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]

In unit circle geometry, cosθ = x, while sinθ = y.

Thus; sinθ = (√544)/25) and cosθ = 9/25

The exact value of \(sin\theta\) and \(cos\theta\) is  \(cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}\) and this can be determined by forming the equation of circle.

Given :

The terminal side of angle \(\theta\) intersect at unit circle (\(\frac{9}{25}, y\)).

From general representation of equation of circle , we can write

\(x^{2} + y^{2} = a^{2}\\\)

\((\frac{9^{2} }{25^{2} })\) + \(y^{2} = 1^{2}\)

\(y^{2} = 1 - \frac{81}{625}\)

\(y^{2} = \frac{625-81}{625}\)

\(y^{2}=\frac{544}{625}\)

Taking square root both sides

\(y= \frac{\sqrt{544} }{\sqrt{625} }\)

\(y = \frac{\sqrt{544} }{25}\)

We are taking only because point  lies in first quadrant.

The terminal side of angel \(\theta\) unit circle in first quadrant at \((\frac{9}{25} , \frac{\sqrt{544} }{25})\)

In unit circle

\(x = cos\theta , y = sin\theta\)

\(\rm cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}\).

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Answer:

y= (x-1)^2+5

Step-by-step explanation:

the vertex is moved to the left once because of the -1 in the equation. the vertex is then moved up 5 on the graph because of the +5 outside the parenthesis. hope this helped!

Explanation:

The relative frequency of an outcome is the number of times you get this outcome divided by the number of times the experiment was repeated:

To find it as a percentage we just have to multiply by 100:

Answer:

42.5%

Answer:

10+5x

Step-by-step explanation: First 3x becomes a neggative thus saying there is a minus infront of it then combine the like therms with 8x making it 5x. Once you do that take 7 and add it to 3. Therefore the answer is 5x+10.

Combining like terms in the expression the simplified expression is

5x + 10.

We have,

To combine like terms and simplify the expression 7 - 3x + 3 + 8x, group the terms with the same variable (x) and then add or subtract their coefficients.

The expression can be rewritten as:

(-3x + 8x) + (7 + 3)

Combining like terms:

(5x) + (10)

Thus,

The simplified expression is 5x + 10.

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Answer:

72

Step-by-step explanation:

Goes like this:

Notice: Here we have squares as difference.

Answer:

56

Step-by-step explanation: