What is the volume of the right rectangular prism?
15 mm
Î
Area of base = 49 sq. mm
O 64 mm³
3
O 128 mm³
O 735 mm³
O 1,470 mm³

Answer:

41.87 cm²

Step-by-step explanation:

Area of shaded region :

Answer:

a) $2000

b) 15000(3.20)/(24+x) = new gasoline cost (replace with variable of your choice)

c) 2000-(15000(3.20)/(24+x)) = money saved (replace with variable)

d) ~34.29 miles (34.28571 miles)

Step-by-step explanation:

a) [15000(3.20)]/24 = 2000

b) use the formula above, but the denominator is 24+x (or variable of your choice) because the amount of mpg is increased

c) take the formula from a, then subtract formula in b from it

d) take formula c, replace the variable (variable = money saved) with 600

Answer:

8 ≤ x

Step-by-step explanation:

6(2 − 6x) ≤ 4 − 35x

Expand bracket;

12 - 36x ≤ 4 − 35x

Add 36x to both sides to get;

12 ≤ 4 + x

Subtract 4 from both sides to get;

8 ≤ x

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to solve the inequality 6(2-6x)≤4-35x.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

First, we can use the distributive property and distribute 6:

[tex]\star\large\pmb{12-36x\leq4-35x}[/tex]

Now, add 35x to both sides:

[tex]\star\large\pmb{12-x\leq 4}[/tex]

And now, subtract 12 from both sides:

[tex]\star\large\pmb{-x\leq-8}[/tex]

Divide both sides by -1 and watch what happens:

[tex]\star\large\pmb{x\geq 8}[/tex]

Have you noticed that the inequality sign changed from "less than" to "greater than"?

Well, that happened because we divided both sides by a negative number, -1.

Thus, [tex]\star~\large\pmb{x\geq 8}[/tex]

Hope this helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

[tex]\pmb{M^ar_ib^el\:P^eri}[/tex]

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

An equation is an expression that shows the relationship between two or more variables or numbers.

Two lines are said to be perpendicular if the product of their slopes is equal to -1.

The slope of the line:

2x - 5y = 7

5y = 2x - 7

y = (2/5)x - 7

The slope of the line 2x - 5y = 7 is 2/5. The slope of the line perpendicular is -5/2

Hence:

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

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[tex]P=(\stackrel{\stackrel{x}{adjacent}}{2\sqrt{2}}~~,~~\stackrel{\stackrel{y}{opposite}}{2\sqrt{2}}) \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{2\sqrt{2}}}{\underset{adjacent}{2\sqrt{2}}}\implies \theta =tan^{-1}\left( \cfrac{2\sqrt{2}}{2\sqrt{2}} \right)\implies \theta =tan^{-1}(1)\implies \theta =45^o[/tex]

Make sure your calculator is in Degree mode.

If we evaluate the function at infinity, we can immediately see that:

        [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}[/tex]

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

By comparison of infinities:

We first expand the binomial squared, so we get

                         [tex]\large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}[/tex]

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

Dividing numerator and denominator by the term of highest degree:

                            [tex]\large\displaystyle\text{$\begin{gathered}\sf L = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4 }{x^{3}-5 } \end{gathered}$}\\[/tex]

                                [tex]\ \ = \lim_{x \to \infty\frac{\frac{x^{4} }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} } }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}} } }[/tex]

                                [tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} } }{\frac{1}{x}-\frac{5}{x^{4} } } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}[/tex]

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

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Step-by-step explanation:

here is your answer

hope it help u

Answer:

16

Step-by-step explanation:

2(8 - 4) 2

first, you'll subtract 4 from 8 to get 4.

Next 2 X 4 X 2

Multiply 2 and 4 by doing that you'll get 8

lastly 8 X 2

Multiply 8 and 2 to get your answer 16.

Pls mark brainiest pls

Answer:

Step-by-step explanation:

AB = DC

AD = BC

we use AB and DC

6x - 26 = 8x - 38

-26 + 38 = 8x - 6x

12 = 2x

x = 12 : 2

x = 6

---------------

check

6 * 6 - 26 = 8 * 6 - 38

36 - 26 = 48 - 38

10 = 10

the answer is good

now we use AD and BC

6y + 12 = 3x + 24

-3x + 6y - 12 = 0

3y - 12 = 0

3y = 12

y = 12 : 3

y = 4

----------------------

check

6 * 4 + 12 = 3 * 6 + 24

24 + 12 = 12 + 24

36 = 36

the answer is good

De vergelijking moet je gelijk zetten aan 0. Vervolgens bereken je discriminant.

Beide x zijn de snijpunten met de x-as.

-4 is de snijpunt met de y-as

Iam sorry for this language.

its dutch, you can translate it to english

The probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12

Flavor of ice cream: Vanilla, Strawberry, Chocolate

Topping: Rainbow sprinkles, Caramel sauce, Nuts, Cherries

Using the dataset above, we have:

Ice cream = 3

Topping = 4

The number of different combinations is calculated as:

Combination = ice cream * Topping

Evaluate

Combination = 3 * 4

Combination = 12

Hence, the number of different combinations is 12

The vanilla ice cream with chocolate a rainbow sprinkles is just one of the 12 combinations.

So, the probability is:

P = 1/12

Hence, the probability of spinning vanilla ice cream with chocolate a rainbow sprinkles is 1/12

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Answer:

10:4

Step-by-step explanation:

it can be simplified

We can actually deduce here that the honey to oats ratio that doesn't follow the pattern in the table is: 10:4.

Ratio actually refers to the way that two or more numbers are compared in relation to their size to each other. It shows how much of one number is found in another.

From the honey to oats ratio, we can see that the pattern goes thus:

This is because 10 - 3 = 7

Then 15 - 7 = 8

Therefore, the ratio that doesn't follow the pattern is 10:4.

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The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.

It does not have an edges or vertices.

It is given in the question that

A cylinder with height 14 feet and radius 25 feet.

The volume of a cylinder.

V = π252(14)

The water than can be filled is equal to the volume of the cylinder

V = 11088 cu.ft

There  the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

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Answer: 27,488.94 cubic feet

Step-by-step explanation:

Answer:

84 R4

Step-by-step explanation:

Answer:

84 R4

Step-by-step explanation:

[tex]9\sqrt{760}[/tex]

multiply 9 by each answer choice then pick the one that makes sense

9×84= 756    9×83=747   9×85=765

756+4= 750 747+3= 750  

Answer:

y = -3x+4

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b  where m is the slope and b is the y intercept

y = -3x+4

Step-by-step explanation:

We have,

We know that,

y = mx+c

y = -3x+4

Hence, option (D) is correct.

If the parent graph is transformed to x^2 + 6, this shows that the parent function translated 6 units up the graph to create the graph x^2+6

These are graph with function of leading degree of 2. The parent function for a quadratic graph is x^2

f(x)= x^2

If the parent graph is transformed to x^2 + 6, this shows that the parent function translated 6 units up the graph to create the graph x^2+6

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Answer:

10√7

Step-by-step explanation:

[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]

Answer:

10√7    

Step-by-step explanation:

To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).

4√7 + 3√28                                 <---- Original expression

4√7 + 3(√4 x √7)                         <---- Expand √28

4√7 + (3 x 2)√7                           <----- Take √4

4√7 + 6√7                                   <---- Multiply coefficients

10√7                                            <---- Add both terms

The expression equivalent to this sentence expression is (5/3) . (5/3) . (5/3). Letter A

.

We know that a power is a multiplication of equal factors - according to the exponent.

A power is represented by aⁿ, where: 'a' indicates base and 'n' indicates exponent.

To represent this expression in multiplication, let's just:

[tex] \large \sf ( \dfrac{5}{3} ) {}^{3} [/tex]

[tex] \blue { \boxed{ \large \sf \dfrac{5}{3} \times \dfrac{5}{3} \times \dfrac{5}{3} }} \\ [/tex]

So, the answer correct is (5/3) . (5/3) . (5/3).

Answer:

4:12pm

Step-by-step explanation:

85 minutes = 1 hour and 25 minutes

2:47pm  + 1 hour 25 minutes = 3:72 pm

72 minutes = 1 hour 12 minutes so add another 1 hour to 3 and the balance is 12 minutes so walk ends at 4:12pm

Another way to look at it is as follows:
After 13 minutes, the time is 2:47 + 0:13 = 3pm

Remaining time left is 85-13 = 72 minutes = 1 hour: 12 minutes. Add that to 3pm and you get 4:12pm

From the solution, Kevin made an error in step 3 by adding 2 and 3 instead of multiplying 6 and 2. The correct solution is 66

Given the expression solves by Kevin below;

75 - 6 (8 - 6) + 3

Step 2: Simplify the expression in parenthesis

75 - 6(2) + 3

Step 3: Solve the product (PEMDAS)

75 - 12 + 3

75 - 9

Step 4: 66

From the solution, Kevin made an error in step 3 by adding 2 and 3 instead of multiplying 6 and 2

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Answer: x - int : (3,0)

Step-by-step explanation:

point-slope form: y - y1 = m(x - x1)

m = y2-y1/x2-x1

   = -4-2/-3-6

   =-6/-9

   = 2/3

y1 = 2

x1 =6

y - 2 = 2/3(x-6)  

x -int: when y = 0, what is x?

0-2 = 2/3(x-6)

-2 = 2/3x - 4

2 = 2/3x

x=3

~Hope this helps!~

Answer:

$11.12

Step-by-step explanation:

Since the sale is 25% and the shoe was originally priced at $45; you can find the price of the sandal on sale by knowing that 25% means 1/4, so you can just find 1/4 of 45 which is 11.12. 45 * 1/4

Answer:

C. $33.75

Step-by-step explanation:

I took the test

The equation of the red graph, g(x) is g(x) = |x| - 5

The graph that completes the question is added as an attachment

The function f(x) is given s:

f(x) = |x|

From the attached graph, we can see that the function f(x) is shifted 5 units down to get to g(x).

This means that:

g(x) = f(x) - 5

Substitute f(x) = |x|

g(x) = |x| - 5

Hence, the equation of the red graph, g(x) is g(x) = |x| - 5

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Answer:

range

Step-by-step explanation:

,domain describes the input values and range describes the output

Answer:

Divide each term in

D

C

G

=

145

°

by

C

G

and simplify.

D

=

145

°

C

G

Step-by-step explanation:

ty

Answer:

No, I don't think so....

Step-by-step explanation:

Volume = 1/2 * Base * Height * Length

     Height =  Base * tan 10  

The underlined items you have,but there is still 2 unknowns and only one equation to solve them <=====  so I think you need one more piece of the puzzle to solve....    either the base or the length of the prism.

Answer:

Y = 9.5

(option C)

a, a² + 1 and a + 6 are all in arithmetic progression, in which there is a fixed difference d between consecutive terms. This mean we have

a² + 1 = a + d

a + 6 = a² + 1 + d

Eliminate d and solve for a :

(a² + 1) - (a + 6) = (a + d) - (a² + 1 + d)

a² - a - 5 = -a² + a - 1

2a² - 2a - 4 = 0

a² - a - 2 = 0

(a - 2) (a + 1) = 0

a - 2 = 0   or   a + 1 = 0

a = 2   or   a = -1