Max drove a submarine at a constant
speed of 23 miles per hour for 2
hours. How far did they travel in the
water?

Answer:

the answer you are looking for is e

Answer:

-60.

Step-by-step explanation:

Let the unknown number be x.

Number is increased by 26 = x+26

Then result is tripled = 3(x+26)

Then the result is increased by 72 = 3(x+26)+72

Final result is \(\dfrac{1}{2}\) of the number = \(\dfrac{1}{2}x\)

\(3(x+26)+72=\dfrac{x}{2}\)

\(3x+78+72=\dfrac{x}{2}\)

\(3x+150=\dfrac{x}{2}\)

Isolate variable terms.

\(3x-\dfrac{x}{2}=-150\)

\(\dfrac{6x-x}{2}=-150\)

Multiply both sides by 2.

\(5x=-300\)

Divide both sides by 5.

\(x=-\dfrac{300}{5}\)

\(x=-60\)

Therefore, the required number is -60.

Answer:

Step-by-step explanation:

The first thing you ought to do is find out what you are trying to get. Desmos is an ideal program to do that if you don't have a graphing calculator. Just search for Desmos. It is pretty obvious once you get there.  I've enclosed the graph to show you what it looks like.

Notice what happens around 5.  The graph splits because effectively, you are dividing by 0 when you put 5 into the denominator. The question arises why doesn't the same thing happen at 0. It should: There is a discontinuity but it is very tiny. So the domain numbers that you should graph are

-1   0™  1   2   3   4   4.5    4.8   5.3    5.4  6 7

™I wouldn't make 0 a part of this domain.  But you can indicate with a dot where the graph goes.

I haven't filled in the range numbers. That's your job. All you have to do is fill in the table with points. Or you can put them on the graph that I have enclosed just to see where they points belong.

A graph is not to convey accuracy. It is to show the shape of function in question.

Answer:

r = \(\sqrt{x} A/4\pi\) , or the third option :)

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

i think the answer to this is 9

Answer:

1

Step-by-step explanation:

The answer is just one bro

Answer:

C

E

Step-by-step explanation:

Answer:

D, because the word problem separates the minus nine with a comma.

a is incorrect because there is no cube root

b is incorrect because again, no cube root

c is incorrect because the minus nine should not be within the cube root

Four times the cube root of x, minus nine is \(4\sqrt[3]{x-9}\).So, our correct answer is 3. \(4\sqrt[3]{x-9}\) .Here are a few ways to write "Four times the cube root of x, minus nine":

4 * √(x) - 9

4√(x) - 9

\(4\sqrt[3]{x-9}\)

The first way to write it is the most literal way. It uses the multiplication symbol (*) to indicate that we are multiplying 4 and √(x). The second way to write it is a bit more concise. It uses the exponent notation to indicate that we are taking the cube root of x. The third way to write it is the most mathematical way. It uses the LaTeX symbol for the square root, which is \sqrt{}.Which way you choose to write it depends on the context. If you are writing in a more informal setting, you might use the first way. If you are writing in a more formal setting, you might use the third way

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Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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The solution to the given equation are -2/5 and 1

Linear equation are equation that has a linear degree of 1. The standard linear equation is expressed as y - mx + b

Given the equation below:

(5v +2)(1 - v) = 0

Equate both expressions to zero to have:

5v+2 = 0 and 1 -v = 0

For the expression 5v+2 = 0

5v = -2

v = -2/5

Similarly

1 - v = 0

v = 1 + 0

v = 1

Hence the solution to the given equation are -2/5 and 1

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Answer:

BELOW

Step-by-step explanation:

242: multiply it by 2 to get 484 and its square root is 22

1280: multiply it by 5  to get 6400 and its square root is 80.

245: multiply it by 5 to get 1225  and its square root is 35.

968: multiply it by 2 to get 1936 and its square root is 44.

1728: multiply it by 3 to get 5184 and its square root is 72

4851: multiply it by 11 to get 53361 and its square root is 231.

HOPE THIS HELPED

Answer:

-4+-4

Step-by-step explanation:

Two number whose sum equal to - 8 are - 11 and 4.

We have to given that,

To find two numbers whose sum equal to - 8.

Now, Let us asume that,

Two numbers are - 11 and 4.

Sum of both numbers are,

- 11 + 4

= - 8

Hence, Two number whose sum equal to - 8 are - 11 and 4.

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Answer: A

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)}=\frac{\sqrt[3]{4x}}{2x+3}\)

The denominator cannot equal 0, so \(x \neq -\frac{3}{2}\).

The equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The question is incomplete.

The complete question is:

The variables x and y vary directly. Use the given values to write an equation that relates x and y. x = 18 y = 6

From the question:

y ∝ x

y = kx ..(1)

k is the constant of proportionality after removing the proportional sign.

Plug x = 18 and y = 6

6 = 18k

k = 1/3

Plug the value of k in the equation (1)

y = (1/3)x

Thus, the equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.

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Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

The equation that can be used to find the number of hours, h, Marco  spent practicing the rest of the week is h = 40

Two or more expressions with an Equal sign is called as Equation.

Let h be the number of hours Marco spent practicing the drums from Monday to Thursday.

The total number of hours Marco spent practicing the drums last week is:

h + 13 (Friday) + 0 (Saturday) + 0 (Sunday) = 53

So we can use the following equation to find the number of hours, h:

h = 53 - 13 = 40

Therefore, the equation that can be used to find the number of hours, h, Marco spent practicing the rest of the week is h = 40

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We are given the expression 2+4b +3b2+ 2b + 4b² + 1 and we are asked to simplify it by combining like terms.

The first step is to identify like terms and group them together.

Next, we add the like terms.

The final answer is 7b² + 6b + 3.

Answer:

$4515

Step-by-step explanation:

Given data

Principal=$2500

Rate= 3%

Time= 20years

The compound interest formula is given as

A=P(1+r)^t

substitute

A=2500(1+0.03)^20

A=2500(1.03)^20

A=2500*1.806

A=$4515

Hence the final Amount is $4515

Answer:

The large  sample n = 117.07

Step-by-step explanation:

Step(i):-

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

Step(ii):-

The Marginal error is determined by

M.E = \(\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }\)

\(0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }\)

Cross multiplication , we get

\(\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }\)

√n = \(\frac{2 X0.4330}{0.08} = 10.825\)

squaring on both sides , we get

n = 117.07

Final answer:-

The large  sample n = 117.07

Answer:

A "Positive Integer"

Step-by-step explanation:

Answer:

a.\(y+1=0\)

b.\(2x+4y=1\)

Step-by-step explanation:

We are given that

\((x^2+y^2)^2=3x^2y-y^3\)

a.(0,-1)

Differentiate w.r.t x

\(2(x^2+y^2)(2x+2yy')=6xy+3x^2y'-3y^2y'\).....(1)

Substitute x=0 and y=-1 in equation (1)

\(2(0+1)(-2y')=-3y'\)

\(-4y'+3y'=0\)

\(-y'=0\)

\(y'=0\)

\(m=y'=0\)

Point-slope form:

\(y-y_0=m(x-x_0)\)

Using the formula

\(y+1=0\)

This is required equation of tangent line to the given curve at point (0,-1).

b.(-1/2,1/2)

Substitute the value in equation (1)

\(2(1/4+1/4)(-1+y')=6(-1/2)(1/2)+3(1/4)y'-3(1/4)y'\)

\(2(2/4)(-1+y')=-3/2+3/4y'-3/4y'\)

\(-1+y'=-3/2\)

\(y'=-3/2+1=\frac{-3+2}{2}=-\frac{1}{2}\)

\(m=y'=-1/2\)

Again using point-slope formula

\(y-1/2=-1/2(x+1/2)\)

\(\frac{2y-1}{2}=-\frac{1}{4}(2x+1)\)

\(2y-1=-\frac{1}{2}(2x+1)\)

\(4y-2=-2x-1\)

\(2x+4y=2-1\)

\(2x+4y=1\)

Answer:

The equation equals 0

Step-by-step explanation:

12 ( 1/3 ) + 5 - 9

4 + 5 - 9

9 - 9

= 0

Answer:

Kite

Step-by-step explanation:

Kite. A kite has one line of symmetry

12 cm²

1) Since we have two squares, and the smallest one is located inside the greatest one, then we need to calculate the white square area and subtract from the gray one's area

2) This way:

3) So the area of the shaded region is 12 cm²

Answer:

Step-by-step explanation:

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

30 ounces of cheese

Step-by-step explanation:

12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving

20 x 1.5 = 30 so 30 ounces of cheese