The function d(s) = 0.0056s squared + 0.14s models the stopping distance
of a car, d(s), in metres, and the speed, s, in kilometres per hour. What
is the speed when the stopping distance is 7 m? Use a graph to solve.​

Answer:

sqrt[(2m^2n)^3]

Step-by-step explanation:

So let's break down the exponent.  The top number represents the number of times the term is repeated.  The bottom number represents the root to be taken of the final product.  With this in mind, let's rewrite this expression.

(2m^2n)^3/2

= [(2m^2n)^3]^1/2

Notice we have 3 of the (2m^2n) terms, but they are all under the 2nd root (aka a square root).

So now, we'll rewrite this into the radical form.

sqrt[(2m^2n)^3]

I hope this helps.

Cheers.

Answer:

Step-by-step explanation:

[tex]100x^2-20x+1=0\\\\(10x)^2-2\cdot10x\cdot1+1^2=0\\\\(10x-1)^2=0\\\\10x-1=0\\\\10x=1\\\\x=0.1[/tex]

Using the factor theorem, we have

[tex]7x^2+x-5=7(x-a)(x-b)[/tex]

and expanding gives us

[tex]7x^2+x-5=7(x^2-(a+b)x+ab)\implies\begin{cases}ab=-5\\a+b=-1\end{cases}[/tex]

So we have

[tex](a-4)(b-4)=ab-4(a+b)+16=-5-4(-1)+16=\boxed{15}[/tex]

Answer:

rectangular prism

Step-by-step explanation:

check by rotating the shape in images

Answer:

Answer D

Step-by-step explanation:

Triangle XYZ  is rotated by a composition of 50°+40°=90° counter-clockwise. When a geometrical figure is rotated by any degree, then its shape or size does not change. A 90 degree rotation is a rotation by one quadrant, if you think of it on a coordinate plane. This inference should show you that choice D is the correct answer.

Answer: C) 12

Step-by-step explanation:

This problem makes use of Cross Multiplying.

Simply do:

2x*3y=9*8

6xy=9*8

6xy=72

xy=12

Hope it helps <3

Answer:

4 centimeters

Step-by-step explanation:

The volume of a sphere can be found using the following formula:

v=4/3*π*r^3

We know the volume is 34 cm^3. Therefore, we can substitute 34 in for v.

34=4/3*π*r^3

We are trying to find r, or the radius. Therefore, we need to get r by itself on one side of the equation.

First, divide both sides by pi.

34/π=4/3*π*r^3 /π

34/π =4/3 * r^3

10.8225361= 4/3 * r^3

Next, divide both sides by 4/3, or multiply by the reciprocal of the fraction.

To find the reciprocal, flip the numerator and denominator of the fraction

4/3 ---flip top number and bottom number --> 3/4

3/4 * 10.8225361= 4/3*r^3 *3/4

3/4* 10.8225361= r^3

8.11690208= r^3

Finally, take the cube root of both sides of the equation.

∛8.11690208=∛r^3

∛8.11690208=r

2.00969477=r

Round to the nearest whole number.

r=2

Now, we must find the diameter. The diameter is twice the radius.

d=2r

The radius is 2 cm.

d= 2 * 2cm

d= 4 cm

The diameter is 4 cm

Answer:

544 cups

Step-by-step explanation:

1 gallon consists of about 16.0047 cups, 34x16 is 544

Answer:

[tex]\boxed{6\sqrt{6} }[/tex]

Step-by-step explanation:

[tex]\sqrt{12} \sqrt{18}[/tex]

Multiply square roots.

[tex]\sqrt{12 \times 18}[/tex]

[tex]\sqrt{216}[/tex]

Simplify square root.

[tex]\sqrt{36} \sqrt{6}[/tex]

[tex]6\sqrt{6}[/tex]

Answer: B. He loses 1/5 of his points in the next crash

Plug in x = 0 to get y = 100(4/5)^0 = 100. He starts with 100 points

After x = 1 crash happens, he has y = 100(4/5)^1 = 80 points left. He lost 20/100 = 1/5 of his points after one crash.

Answer:

See Below.

Step-by-step explanation:

We have the expression:

[tex]3pf^2-21p^2f+6pf-42p^2[/tex]

Part A:

Find the GCF. Notice that we have a three in every term and a p in every term. Thus, the GCF will be 3p. Factor:

[tex]3p(f^2-7pf+2f-14p)[/tex]

This is the most we can do.

Part B:

Continuing from where we left off, we can factor the entire expression by grouping:

[tex]\displaystyle \begin{aligned} &= 3p(f^2-7pf+2f-14p) \\ \\ &= 3p(f(f-7p)+2(f-7p)) \\ \\ &=3p((f+2)(f-7p))\end{aligned}[/tex]

Answer:

678 ft²

Step-by-step explanation:

The opposite sides of the cuboid are congruent, thus surface area is

2(11 × 9) ← front and back + 2(11 × 12) ← top and base + 2(12 × 9) ← sides

= 2(99) + 2(132) + 2(108)

= 198 + 264 + 216

= 678 ft²

Answer:

The perimeter of the figure is: 8x + 34.

Step-by-step explanation:

The perimeter of a shape is the sum of the length of all its sides. In this case there is one side missing, we need to find its length. To do that we will have to use Pythagora's theorem, because we will create a right triangle as shown in the attached picture. Where a, b and c are the sides of the right triangle. We can determine the lengths of a and c. If we pay close attention to the figure we will realize that a is:

[tex]a = 2x + 5 - 2x = 5[/tex]

While c is:

[tex]c = 2(x + 7) - (x + 5) - (x - 3)\\c = 2x + 14 -x - 5 -x + 3\\c = 2x - 2x + 12\\c = 12[/tex]

We can now apply Pythagora's theorem:

[tex]b^2 = a^2 + c^2\\b^2 = 5^2 + 12^2\\b^2 = 25 + 144\\b = 13[/tex]

With this we can sum all the sides and calculate the perimeter of the shape.

[tex]2x + 5 + x - 3 + 2x + x + 5 + 13 + 2(x + 7)\\2x + x + 2x + x + 2x + 5 - 3 + 5 + 13 + 14\\8x + 34[/tex]

Answer:

5/33

Step-by-step explanation:

5/12 * 4/11 = 20/132 = 10/66 = 5/33

Answer:

The number of doughnuts left over are 8 doughnuts

Step-by-step explanation:

The information given are;

The number of doughnuts fried per batch = 20 doughnuts

The number of doughnuts contained in a pack = 13 doughnuts

The number of doughnut batches just fried = 20 batches

The number of packs filled = 44 packs

The number of packs filled with the fried = 44 packs

The number of doughnuts per pack = 13 doughnuts

The number of doughnuts in the pack = The number of packs filled with the fried × The number of doughnuts per pack

The number of doughnuts in the pack = 44 × 13 = 572 doughnuts

Given that the number of batches of doughnuts fried = X batches and the amount of left over = Y doughnuts, where each batch contains 20 doughnuts, we have;

Number of doughnuts fried = Number of batches of doughnuts fried × Number of doughnuts per batch

Number of doughnuts fried = X × 20 =20×X doughnuts

Therefore we have;

Number of doughnuts fried = The number of doughnuts in the pack + The number of doughnuts left over

Which gives;

20×X = 572 + Y where Y < 20

Checking we have multiples of 20 are 560, 580

Given that 520 is the next multiple of 20 after 572, we have;

The number of doughnuts fried = 580 and the number of left over = 580 -  572 = 8 doughnuts.

Answer:

1133.54 in.^2

Step-by-step explanation:

The answer is the area of the circle which is in white inside the square. We are not looking for the shaded area.

A = (pi)r^2

r = d/2 = 38 in./2 = 19 in.

A = (3.14)(19 in.)^2

A = (3.14)(19 in.)(19 in.)

A = 1133.54 in.^2

Answer:

Step-by-step explanation:

Given,

Diameter ( d ) = 38

Radius ( r ) = 38/2 = 19

π = 3.14

Now, let's find the area :

[tex]\pi \: {r}^{2} [/tex]

Plug the values

[tex]3.14 \times {(19)}^{2} [/tex]

Evaluate the power

[tex]3.14 \times 361[/tex]

Calculate the product

[tex]1133.54 \: {in}^{2} [/tex]

Hope this helps..

Best regards!!

Answer:

y=10 ( number of acrobat)

Step-by-step explanation:

let x be the elephant and y the acrobat

elephant has 4 legs and acrobat 2

4x+2y=40

x+y=15  ⇒x=15-y

substitute for x in the equation:

4(15-y)+2y=40

60-4y+2y=40

-2y=40-60

y=-20/-2

y=10 ( number of acrobat)

number of elephant=15-10=5 elephants

Answer:

12x^3 + 12x^2y + 15xy - 18x

Step-by-step explanation:

I simply expanded the equation by multiplying everything in the parentheses by 3x.

Answer:

12x^3+12x^2y+15xy-18x

Step-by-step explanation:

3x (4x^2 + 4xy + 5y - 6)

Distribute

3x *4x^2 +3x* 4xy + 3x*5y -3x* 6

12x^3+12x^2y+15xy-18x

Answer:

its 55

Step-by-step explanation:

45-100=55( trust me its right.)

Answer:

9/21

Step-by-step explanation:

total there are 105 candies, 60+45

45 are red so 45/105

simplified 9/21

How can we tell? Look at the vertical lines inside the box. This is where the median is located. For movie A, the inner vertical line is somewhere between 30 and 40 (perhaps 35 or so). So this is the median for movie A. Meanwhile, the median for movie B is somewhere between 40 and 50. I'd say maybe 46 or 47 as its a bit higher than the halfway point.

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Extra info:

Answer:

Length = 8 meters

Width = 5 meters

Step-by-step explanation:

2*(3 + (1/4)L + L) = 26 meters

1/4L + L = 26/2 - 3

1/4L + 4/4L = 10

5/4L = 10

L = 10 * 4/5

L = 40/5 = 8 meters

W = 3 + 1/4 L

W = 3 + 1/4 *8

W = 3 + 2

W = 5 meters

Hey there! I'm happy to help!

Let's write this out as a system of equations. We will have W be the width and L be the length.

W=0.5L+3

2L+2W=516

Since we know that W is equal to 0.5L+3, we can swap the W in the second equation with 0.5L+3 so we can solve for L!

2L+2(0.5L+3)=516

We use the distributive property to undo the parentheses.

2L+L+6=516

We combine like terms.

3L+6=516

We subtract 6 from both sides.

3L=510

We divide both sides by 3.

L=170

Now, we know that the width is 3 meters more than half the length. So, we take 1/2 of 170, which is 85, and then we add three, giving us 88.

So, our length is 170 meters and the width is 88 meters.

Have a wonderful day!

Answer:

the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.

solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine

to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20

Max : 10 steps : Dad: 3 steps.

So it you multiply those each by ten, you get

100 steps : 30 steps.

30 Dad steps is 100 Max steps, so you get the answer, which is 100!

The steps taken by Max is 100.

A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations.

Given

steps taken by Max = 10

Steps taken by his Dad = 3

both steps of Dad and steps of Max should be in ratio

3/10 …(1)

steps taken by his Dad = 30

let steps taken by Max = x

ratio = 30/x …..(2)

equation 1 equals equation 2

3/10 = 30/x  

x = (30 x 10)/3

x = 100

Hence Max must take 100 steps.

Learn more about arithmetic operators;

https://brainly.com/question/25834626

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Answer:

The average rate of change from x=-7 to x=-5 is -3

Step-by-step explanation:

In order to calculate average rate of change we would have to make the following calculation:

According to the given data we have the following:

x=-7 so, f(-7) is to be calculated in the graph y

x=-5 so, f(-5) is to be calculated in the graph y

Therefore, average rate of change=f(-5)-f(-7)/-5-(-7)

average rate of change=3-9/2

average rate of change=-6/2

average rate of change=-3

The average rate of change from x=-7 to x=-5 is -3

The average rate of change of a function is the unit change of the function.

The average rate of change from x = -7 to x = -5 is -3

The average rate of change is calculated as:

[tex]\mathbf{f'(x) = \frac{f(b) - f(a)}{b - a}}[/tex]

The interval is given as: x = -7 to x = -5.

This means that:

a = -5 and b = -7

So, we have:

[tex]\mathbf{f'(x) = \frac{f(-7) - f(-5)}{-7 - -5}}[/tex]

This gives

[tex]\mathbf{f'(x) = \frac{f(-7) - f(-5)}{-2}}[/tex]

From the graph

f(-7) = 9 and f(-5) = 3.

So, we have:

[tex]\mathbf{f'(x) = \frac{9 - 3}{-2}}[/tex]

Subtract

[tex]\mathbf{f'(x) = \frac{6}{-2}}[/tex]

Divide

[tex]\mathbf{f'(x) = -3}[/tex]

Hence, the average rate of change from x = -7 to x = -5 is -3

Read more about average rate of change at:

https://brainly.com/question/23715190

9.77 in

Step-by-step explanation:

arc length is 80/360 × 2 × pi × radius

2/9 × 2 × 22/7 × 7

88/9

9.77in

Answer:

arc length = 9,76(8) inches

Step-by-step explanation:

Formula

2π·r(x°/360°)

= 2·3,14·7in·80°/360°

= 3516,8in/360

= 9,76(8) inches

Answer:

The answer is below

Step-by-step explanation:

The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. . The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]

(a) Z = -0.12 and Z = 0.12

From the normal distribution table, Area between z equal -0.12 and z equal 0.12  = P(-0.12 < z < 0.12) = P(z < 0.12) - P(z < -0.12) = 0.5478 - 0.4522 = 0.0956 = 9.56%

b) The area that lies between Z = - 0.35 and Z=0

From the normal distribution table, Area between z equal -0.35 and z equal 0  = P(-0.35 < z < 0) = P(z < 0) - P(z < -0.35) = 0.5 - 0.3594 = 0.1406 = 14.06%

c) The area that lies between Z = 0.02 and Z = 0.82

From the normal distribution table, Area between z equal 0.02 and z equal 0.82  = P(0.02 < z < 0.82) = P(z < 0.82) - P(z < 0.02) = 0.7939 - 0.5080 = 0.2859 = 28.59%

Answer: She has 21 lira coins.

Step-by-step explanation:

Given, Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins.

Let x = the number of lira coins.

y= the number of drachma coins.

z= the number of peseta coins.

Then, as per given, we have

x+y+z=83   (i)

x+y=53   (ii)

x+z=51   (iii)

From (ii) and (iii)

y=53-x

z=51-x

Put these values in (i) , we get

x+(53-x)+(51-x)=83

⇒ x+53-x+51-x=83

⇒ 104-x=83

⇒104-83=x

⇒x= 21

Hence, she has 21 lira coins.

Answer:

the answer is 2/5 or 0.4

.

Answer:

¿De que solución habla?

Step-by-step explanation:

Answer:

B, D, F

Step-by-step explanation:

edge 2020

Answer:

y = 110°

Step-by-step explanation:

The inscribed angle CHF is half the measure of its intercepted arc CDF

The 3 arcs in the circle = 360°, thus

arc CDF = 360° - 160° - 60° = 140°, so

∠ CHF = 0.5 × 140° = 70°

∠ CHF and ∠ y are adjacent angles and supplementary, thus

y = 180° - 70° = 110°