tommy starts walking from school to home at the same time that his dad starts walking home to school the both depart at 300pm tommy is walking at a speed of 1.35meters pr second and his dad is walking at a speed of 1.65 meters per second. the distance between home and school is 720 meters at what time wil they meet

The number of problems Shelly has to complete is 25 problems

x = 10 + 2/7x

x - 2/7x = 10

(7x-2x)/7 = 10

5/7x = 10

x = 10 ÷ 5/7

= 10 × 7/5

= 70/5

x = 35 problems

So,

Number of problems to complete = Total problems - completed problem

= 35 - 10

= 25 problems

Learn more about fraction:

https://brainly.com/question/11562149

#SPJ1

Answer:

[tex]f^{-1}(x)=x^2+1[/tex]

Step-by-step explanation:

The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y

Original Equation:

[tex]f(x)=\sqrt{x-1}\\[/tex]

write f(x) as y (since that's what it represents)

[tex]y=\sqrt{x-1}[/tex]

Swap x and y

[tex]x=\sqrt{y-1}[/tex]

Square both sides

[tex]x^2=y-1[/tex]

Add 1 to both sides

[tex]x^2+1=y[/tex]

So this gives you the equation:

[tex]f^{-1}(x)=x^2+1[/tex]

Considering the volume of a rectangular prism, the capacity of the second sandbox would be of 80 cubic feet.

The volume of a rectangular prism with length l, width w and height h is given by the multiplication of the measures, that is:

V = lwh.

In this problem, the capacity is of 10 cubic feet, that is:

V = lwh = 10.

When each measure is doubled, the volume will be given as follows:

V=  2l x 2w x 2h = (2 x 2 x 2)lwh = 8lwh = 8V = 80 cubic feet.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

#SPJ1

Answer:

1800 m

Step-by-step explanation:

1 km = 1000 m

1.8 km = 1.8 × 1 km = 1.8 × 1000 m = 1800 m

Answer: 1/9

Step-by-step explanation:

-(8/24)^2 / -(8/24)^0

cancel the negatives and simplify 8/24 to 1/3

(1/3)^2 / (1/3)^0

(1/3)^0 = 1

so,

(1/3)^2 = 1/9

Answer: 89.7

Step-by-step explanation:

The mean of a data set is the average of all the information given. Therefore, the total combined score is the number of students multiplied by the mean

The total score of the first 44 students: 96.6*44 = 4250.4

The total score of the later 13 students: 66.3*13 = 861.9

(4250.4 + 861.9)/(44 + 13) = 89.7

Hope this helped

Answer:

At Less In Number 20

Step-by-step explanation:

1234567891011121314151617181920

Answer:

[tex]1234567x = [/tex]

The difference between the rate of change of B and the rate of change of A is 15.

First, we need to get the two rates of change.

We have two linear functions.

A: y = 35*x

For function A the rate of change is the slope, wich is 35.

Function B is graphed.

Remember that if a line passes through two points (x₁, y₁) and (x₂,y₂) then the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In the graph, we can see that line B passes through (0, 0) and (1, 50), then the slope is:

[tex]a = \frac{50 - 0}{1 - 0} = 50[/tex]

Then the rate of change of B is 50.

The difference between the rates of change is:

diff = 50 - 35 = 15

If you want to learn more about rates of change:

https://brainly.com/question/8728504

#SPJ1

Answer:

vertical shift is 3 units down

horizontal shift is 2 units left

Step-by-step explanation:

y=srx+2-3

vertical shift is 3 units down

horizontal shift is 2 units left

Answer: 11.4

Step-by-step explanation:

Using the distance formula,

[tex]AC=\sqrt{(-3-1)^2 + (-1-2)^2}}=5\\\\AB=\sqrt{(-3-0)^2 +(-1-3)^2}=5\\\\BC=\sqrt{(1-0)^2 + (2-3)^2}=\sqrt{2} \approx 1.4\\\\\implies P \approx 5+5+1.4=\boxed{11.4}[/tex]

The inequality which represents the number of jeans and sweater which he must purchase is; $17x + $9y >= $75.

It follows from the task content that, to receive free shipping, $75 or more must be spent on the pieces of clothing to receive free shipping.

On this note, it follows that the required inequality is; $17x + $9y >= $75.

This follows from the fact that jeans are $17 each and sweaters are $9 each.

Read more on inequalities;

https://brainly.com/question/24372553

#SPJ1

Answer:

7.  Down 5

8.  Horizontal reflection

9.  Vertical stretch by a factor of 5

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Identify the transformations that take the parent function to the given function.

Question 7

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=x^3-5[/tex]

Comparing the parent function with the given function, we can see that 5 has been subtracted from the parent function.

Therefore, the transformation is:

[tex]f(x)-5 \implies f(x) \: \textsf{translated}\:5\:\textsf{units down}[/tex]

Question 8

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=-x^3[/tex]

Comparing the parent function with the given function, we can see that the parent function has been multiplied by -1.

Therefore, the transformation is:

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

Question 9

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=5x^3[/tex]

Comparing the parent function with the given function, we can see that the parent function has been multiplied by 5.

Therefore, the transformation is:

[tex]y=5\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:5[/tex]

Learn more about graph transformations here:

https://brainly.com/question/27845947

Answer:

7. Down 5

8. Horizontal Reflection.

9. Vertical Stretch by a factor of 5.

Explanation:

Parent function: f(x) = x^3

7. f(x)= x^3 - 5

Comparing it with f(x) - d which gives function shifted d units down.

Here the function has shifted 5 units down.

8. f(x)= -x^3

Comparing with -f(x) gives reflection over x-axis (horizontal reflection).

Here the function f(x) = (-1x^3) has been reflected horizontally.

9. f(x)= 5x^3​

Comparing with a(f(x)) gives vertical stretch when |a| > 1 or compression when 0 < |a| < 1 by a factor of a.

Here the function f(x) = 5x^3​ has been vertically stretched by a factor of 5.

Answer:

Using the formulas

C=2πr

d=2r

Solving for d

d=C

π=8

π≈2.54648

d≈2.55

Answer:

1000 times

Step-by-step explanation:

To find out how many times 0.1 can fit into 100, we can just divide 100 by 0.1.

But, we first find out how many times can 1 fit into 100.

No. of times 1 fit into 100 = 100 / 1 = 100 times

Now we know 1 is 10 times of 0.1, so we multiply the above by 10,

so 100 * 10 = 1000 times.

Therefore 0.1 can fit into 100 a 1000 times.

Answer:

1000

Step-by-step explanation:

100 divide by 0.1 the answer is 1000

Answer:

90.000 m³

Step-by-step explanation:

V = L × W × H

V = 6 × 5 × 3.000

V = 30 × 3.000

V = 90.000 m³

Hello !

[tex]6 \times 5 \times 3 = 90 {m}^{3} [/tex]

The amount of air is 90m³.

Have a nice day ;)

Answer:

35

Step-by-step explanation:

This shape has 6 sides.

Sum of interior angles of a 6 sided shape is 720.

117 + 4x - 5 + 4x - 3 + 118

+ 3x + 6 + 3x - 3 = 720

4x + 4x + 3x + 3x

+ 117 + 118 + 6 - 5 - 3 - 3 = 720

14x + 241 - 11 = 720

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 490/14

x = 35

Answer:

159

Step-by-step explanation:

all natural numbers are numbers that go above 0 and etc…

Therefor, 256 - 97

= 159

Answer:

158

Step-by-step explanation:

Between means 97 and 256 are not included

Therefore its should be:

=(256-97)-1

=158

Final answer:

The answer is 10.65.

Step-by-step explanation:

Step 1

Substitute a=1,5 into expression

7.1a, a=1.5

7.1 x 1.5

Step 2

Multiply the numbers

7.1 x 1.5 = 10.65

Answer:

10.65

Step-by-step explanation:

Plug a into the expression

[tex]7.1\times1.5=10.65[/tex]

Hope I helped you in some way!

The mistaken assumption is that the customer thinks the shoes are back to their original price.

The assumption is wrong because the price of the shoe is now lower than $150.

The cost of the shoe now is $126.

In order to retain the price of $150, the percentage decrease should have been 28.6%.

Price of the shoe after it was increased : 1.4 x 150 = 210

Price of the shoe after it was decreases: (1 - 0.4) x 210

0.6 x 210 = $126

The percentage the price should be decreased for the price to be back to $150 = (150 / 210) - 1 = 28.9%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

For convenience sake, I will let [tex]y=f(x)=9e^{x}\sin x[/tex]

First, we evaluate the function at the endpoints of the interval.

[tex]f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0[/tex]

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

[tex]f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)[/tex]

Setting this equal to 0,

[tex]9e^x (\cos x+\sin x)=0[/tex]

Since [tex]9e^x > 0[/tex], we can divide both sides by [tex]9e^x[/tex].

[tex]\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}[/tex]

[tex]f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}[/tex]

So, the absolute minimum is [tex]\boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)}[/tex] and the absolute minima are [tex]\boxed{(0,0), (\pi, 0)}[/tex]

Answer:

A

Step-by-step explanation:

The graph is composed of two different rays.

Also, when x = -2, there is an open hole.

This leaves A as the answer.

The probability that the sample proportion is less than 0.80 is mathematically given as P(z<-0.52)

Generally, the equation for probability is  mathematically given as

p=82/100

Therefore

p=0.82

q=1-p

q=1-0.82

q=0.18

[tex]SE=\sqrt{\frac{p(1-p)}{n}}\\\\SE=\sqrt{\frac{0.8(1-0.8)}{100}}\\\\SE=0.03841[/tex]

b)

[tex]P(p < 0.80)=p(\frac{p-0.82}{0.0384} < \frac{0.8-0.82}{0.0384})\\\\P(z < -0.52)[/tex]

Read more about probability

https://brainly.com/question/11234923

#SPJ1

Answer:

3

Step-by-step explanation:

using the power we multiply the exponents (27^1/2)^2/3 to get 27^1/3=3

Answer:

Use sine rule.

Explanation:

[tex]\begin{tabular}{|c|c|c|c|} \cline{1-2} \multicolumn{2}{|c|}{\bf {SOH CAH TOA Formula's}} \\ \cline{1-2} \cline{1-2} \rm{sine rule} & sin(\theta) \sf = opposite/hypotenuse \\ \cline{1-2} \rm{cosine rule} & cos(\theta) \sf = adjacent/hypotenuse \\\cline{1-2} \rm{tan rule} & tan(\theta) \sf = opposite/adjacent \\ \cline{1-2}\end{tabular}[/tex]

If opposite side of an angle and hypotenuse is given.

Use sine rule: sin(θ) = opposite/hypotenuse

For example:

Given that opposite of the angle is 10 cm and hypotenuse is 20 cm.

To find the angle:

sin(θ) = 10/20

θ = sin⁻¹(10/20)

θ = sin⁻¹(1/2)

θ =  30°

Several ways

You can use sin directly

As

Then you can find Ø from it

Otherwise

You may find adjacent using Pythagorean theorem

Then you can use cos

You may use tan even

What I gather from the question is that [tex]X[/tex] has second moment [tex]E(X^2)=81[/tex] and variance [tex]V(X) = 58[/tex], and you're asked to find the expectation and variance of the random variable [tex]Y=2X+10[/tex].

From the given second moment and variance, we find the expectation of [tex]X[/tex] :

[tex]V(X) = E(X^2) - E(X)^2 \implies E(X) = \sqrt{E(X^2) - V(X)} = \sqrt{23}[/tex]

Expectation is linear, so

[tex]E(Y) = E(2X+10) = 2 E(X) + 10 = \boxed{2\sqrt{23} + 10}[/tex]

Using the same variance identity, we have

[tex]V(Y) = V(2X+10) = E((2X+10)^2) - E(2X+10)^2[/tex]

and

[tex]E((2X+10)^2) = E(4X^2 + 40X + 100) = 4E(X^2) + 40E(X) + 100 = 424 + 40\sqrt{23}[/tex]

so that

[tex]V(Y) = V(2X+10) = (424 + 40\sqrt{23}) - (2\sqrt{23} + 10)^2 = \boxed{232}[/tex]

Alternatively, we can use the identity

[tex]V(aX+b) = a^2 V(X) \implies V(2X+10) = 4V(X) = 232[/tex]

Answer:

Step-by-step explanation:

Hello!

15 < x + 4

We can subtract 4 from both sides, to cancel it out.

15 - 4 is 11.

11 < x

x = {12,13,14,15,16,..........................................................................Infinity}

Hope I Helped!

The missing algebra property justification for the equation solution is; Multiplicative Inverse

We are given the equation;

2x - 7 = 15

Step 1; Add 7 to both sides to get; 2x - 7 + 7 = 15 + 7

2x = 22

Reason; Addition property of equality

Step 2; Multiply both sides by 1/2(one half) to get;

(1/2) * 2x = (1/2) * 22

x = 11

Reason; Multiplicative Inverse

Read more about Algebraic Properties at; https://brainly.com/question/723406

#SPJ1

I do not agree that passing the state math and reading tests will be a predictor of a student's success in college.

The factors that determine a student's success in college include the following:

Do you agree with the board? Mention the factors that determine a student's success in college.

Thus, it is not necessarily true that passing the state math and reading tests will be a predictor of a student's success in college.

Learn more about students' college success at https://brainly.com/question/24213777

#SPJ1