Question
Find the volume of a rectangular solid with the given dimensions: length 25 feet, width 7 feet, height 10 feet. Give your
answer without units.

Answer:

Slope = -2

Step-by-step explanation:

Point 1 (-1, 2)

Point 2 (1, -2)

Formula to find slope = y2 - y1 / x2 - x1

Slope = 2-(-2) / -1-1

Slope = 4 / -2

Slope = -2

============================================

Work Shown:

LM/PQ = MN/QR

13/56 = 10/x

13*x = 56*10

13x = 560

x = 560/13

x = 43.0769 approximately

x = 43.1

Segment QR is roughly 43.1 units long.

Answer:

QR = 43.1

Step-by-step explanation:

since they are similar use these ratios

NM/QR = LM/PQ

10/QR = 13/56

do cross multiplication

QR*13 = 56*10

QR = 560/13

QR = 43.07

QR = 43.1

therefore the measure of side QR is 43.1.

Answer:

x = 84 , y = 168

Step-by-step explanation:

[tex]Sin 60 = \frac{opposite side}{hypotenuse}\\\\ \frac{\sqrt{3}}{2}= \frac{AB}{BC}\\\\ \frac{\sqrt{3}}{2} = \frac{84\sqrt{3}}{y}\\\\Cross\ multiply ,\\\\y*\sqrt{3} =2*84 \sqrt{3}\\\\y= \frac{2*84*\sqrt{3}}{\sqrt{3}}\\\\y=168[/tex]

[tex]Cos\60 = \frac{adjacent}{hypotenuse}\\\\ \frac{1}{2}= \frac{AC}{BC}\\\\ \frac{1}{2}= \frac{x}{168}\\\\ \frac{1}{2}*168=x\\\\x= 84[/tex]

Answer:

y' = 3x² + 6x - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 3x² - 5x

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

32

Step-by-step explanation:

Answer - Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.

Answer:

No solution is possible from the information provided

Step-by-step explanation:

Answer:

[tex]\approx 15.9[/tex]

Step-by-step explanation:

The length of an arc with measure [tex]\theta[/tex]  and radius [tex]r[/tex] is given by [tex]\ell_{arc}=2r\pi\cdot \frac{\theta}{360}[/tex]. From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by [tex]\angle AOC[/tex] subtracted from 360. The measure of the arc formed by [tex]\angle AOC[/tex] consists of two congruent angles, [tex]\angle AOB[/tex] and [tex]\angle COB[/tex]. To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

We have:

[tex]\cos \angle AOB=\cos \angle COB=\frac{4}{10},\\\angle AOB=\arccos(\frac{4}{10})=66.42182152^{\circ}[/tex]

Therefore, [tex]\angle AOC=2\cdot 66.42182152=132.84364304^{\circ}[/tex]

The measure of the central angle of [tex]\widehat{ADC}[/tex] must then be [tex]360-132.84364304=227.15635696^{\circ}[/tex]

Thus, the length of [tex]\widehat{ADC}[/tex] is equal to:

[tex]\ell_{\widehat{ADC}}=2\cdot 4\cdot \pi \cdot \frac{227.15635696}{360},\\\ell_{\widehat{ADC}}=15.8585053832\approx \boxed{15.9}[/tex] (three significant figures as requested by question).

The decimal form of the given number is $15,000,000,000,000.00

From the question, we are to convert the given number to decimal form

The given number is $1.5×10¹³

$1.5×10¹³ = $15,000,000,000,000.00

Hence, the decimal form of the given number is $15,000,000,000,000.00

Learn more on Conversion to decimals here: https://brainly.com/question/10944785

#SPJ1

Answer: The minuend is 20000

Step-by-step explanation:

To calculate the minuend, we use the equation:

[tex]\text{Subtrahend}=\text{Minuend-Difference}[/tex]

We are given:

Difference between the two numbers = 7194

Subtraend = 12806

Putting values in above equation, we get:

[tex]\text{Minuend}=12806+7194\\\\\text{Minuend}=20000[/tex]

Hence, the minuend is 20000

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

Answer:

It is there difference:

20-5

15

Answer:

A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ. ( C )

Step-by-step explanation:

The matrix

[tex]A = \left[\begin{array}{ccc}5&2&-4\\2&5&-4\\4&4&-5\end{array}\right][/tex]

This is a 3 x 3 matrix  

Attached below is the prove that A is diagonalizable  

Answer:

See below.

Step-by-step explanation:

14.

12.5/2.5 = 5

15.

(i) [(-75)/15]/5 = -5/5 = -1

(ii) 13 / [(-2) + 1] = 13 / (-1) = -13

16.

(i) 39 + (-24) - 15 = 0

36 + (-52) - (-36) = 20

Answer: <

(ii) (-10) - 4 = -14

(-10) - (-4) = -10 + 4 = -6

Answer: <

17.

He reads 1/4 book in 1 hour.

He reads 1 book in 4 hours.

In 2 1/6 hours he reads:

(2 1/6)/4 part of the book = (13/6) / 4 = 13/24 part of the book

(i) 2/5 / 1 1/2 = 2/5 / 3/2 = 2/5 * 2/3 = 4/15

(ii) 7/3 / 2 = 7/3 * 1/2 = 7/6

Answer:

14. 5

15. (i) -1     (ii) -13

16. (i) <    (ii) <

17. 24/13

Step-by-step explanation:

Answer:

so ....where is the question?

Answer:

3, 5 and 15

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.

Step-by-step explanation:

As a ream or

500

sheets of paper weigh

4.818

pounds

One sheet of paper weighs

4.818

500

=

0.009636

pounds.

It is apparent that pound is too big a unit for a sheet of paper.

As each pound has

16

ounces, one can say

one sheet of paper weighs

0.009636

×

16

=

0.154176

ounces.

If ounce is too big, as we have

1

pound equal to

28.34952

grams

one sheet of paper weighs

0.154176

×

28.34952

≈

4.371

grams

please mark as brainliest

Answer:

This will decrease the margin of error associated with your 90% confidence interval.

Step-by-step explanation:

Margin of error:

The margin of error of a confidence interval is given by a formula that follows the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.

From the formula:

M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.

In this question:

Sample size increases from 5 to 10, so the margin of error decreases.

Answer:

please post a more cohesive question. The values are very confusing

Answer:

He must sell 20,000 to make the same amount

Step-by-step explanation:

Option A

25 h   where hourly rate time number of hours ( 40 hours)

25 * 40 = 1000

Option B =

.05 * s  where s is the amount of sales and 5% commission

We want them to be equal

1000 = .05s

Divide each side by .05

1000/.05 = .05s/.05

20000 = s

He must sell 20,000 to make the same amount

Answer:

A linear transformation is defined as:

For a transformation T that goes from R^n to R^m, this transformation is linear if, for two vectors A and B, we have that:

T(A + B) = T(A) + T(B)

In this case, we have the transformation:

T(x1​, x2​)= ​(x1x2​, x1​, x2​).

If we define two vectors:

A = (a1, a2)

B = (b1, b2)

if the transformation is lineal, we will have that:

T(A + B) = T(A) + T(B)

Or

T(0) = T(A - A) = T(A) + T(-A)

(just two different ways of writing the same thing, I will use the first one, because it is the general way)

We want to see that, for our transformation, this equation is false.

first the left side:

A + B = (a1, a2) +  (b1, b2) = (a1 + b1, a2 + b2)

Then the transformation applied to that vector gives:

T(A + B) = T(a1 + b1, a2 + b2) = ( (a1 + b1)*(a2 + b2), (a1 + b1), (a2 + b2))

             = (a1*a2 + a1*b2 + b1*a2 + b1*b2, a1 + b1, a2 + b2)                                  

While for the right side, we have:

T(A) + T(B) = T(a1, a2) + T(b1, b2) =  (a1*a2, a1, a2) + (b1*b2, b1, b2)

                  = (a1*a2 + b1*b2, a1 + b1, a2 + b2)

Then we can rewrite:

T(A + B) = T(A) + T(B)

as:

(a1*a2 + a1*b2 + b1*a2 + b1*b2, a1 + b1, a2 + b2) = (a1*a2 + b1*b2, a1 + b1, a2 + b2)

We can see that the first part of these vectors is different, thus, the equality is false.

Then we can conclude that:

T(A + B)  ≠ T(A) + T(B)

Then the transformation T is not linear.

Answer:

G.o.o.g.l.e

Step-by-step explanation:

If you search up 'f(x)=10(2)x' on g.o.o.g.l.e it will draw the graph for you.

If this helps you, please give brainliest!

is 20 ÷ 5 the question? if so he was penalized 4 times. 5 × 4 is 20

The limit as x approaches 1 from either side should match, so that

[tex]\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2[/tex]

[tex]\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1[/tex]

==>   a - 2 = 1   ==>   a = 3

The answer is a = 3.

Finding Left Hand Limit (LHL)

[tex]\displaystyle \lim_{x \to \11^{-}} f(x) = -2(1) + a[/tex]

Finding Right Hand Limit (RHL)

[tex]\displaystyle \lim_{x \to \11^{+}} f(x) = 1[/tex]

For a continuous function, LHL = RHL

Answer:

See below

Step-by-step explanation:

a) y = 5x

b) 45 = 3y + 2x

ANSWER

D

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

hey can you explain cause IM reading  my self and id  be happy to help if you  oh you have a picture oh the answer is...

Step-by-step explanation:

Answer:

Move each point, one by one, 5 units down

so, D(-7,10) becomes [tex]D^{1}[/tex](-7,5). Y value was decreased by 5

Answer:

-27

Step-by-step explanation:

9(4x – 15)

Substitute 3 for x

9((4)(3) - 15)

Multiply (4)(3) = 12

9 ( 12 - 15 )

Subtract 12 - 15 = -3

9(-3)

Multiply 9(-3) = -27

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: 9 \: (4x - 15)[/tex]

Plugging in the value [tex]x = 3[/tex] in the above expression, we have

➼ [tex] \: 9 \: (4 \times 3 - 15)[/tex]

➼ [tex] \: 9 \: (12 - 15)[/tex]

➼ [tex] \: 9 \: ( - 3)[/tex]

➼ [tex] \: - 27[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

This converts to the improper fraction 7/4

======================================================

Work Shown:

3/4 = 0.75

area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft

area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft

total area = 0.75+1 = 1.75 sq ft

This converts to the improper fraction 7/4 because

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 4/4 + 3/4

1.75 = (4+3)/4

1.75 = 7/4