Combine and simplify these radicals.
√8 √20
O 4√10
O 160
O 10√4
O 40

Answer: A

Step-by-step explanation:

Since DE=4 and AB=2, we know the scale factor of the dilation was 4/2 = 2.

Answer:

The temperature on the eighth day is 80.

Step-by-step explanation:

Let t = temperature on the eighth day.

\( \frac{71 + 80 + 69 + 80 + 73 +77+ 70 + t}{8} = 75\)

\( \frac{520 + t}{8} = 75\)

\(520 + t = 600\)

\(t = 80\)

Using the shell method, the volume of the solid generated when R is revolved about the y-axis is V= 324π cubic units.

The shell method refers to a method of finding volumes of the solid by decomposing a solid of revolution into cylindrical shells. It is one of the methods to find the volume of the solid. This solid is generated when region R is rotated about an axis or the y-axis. In case it is y-axis then the following formula is used:

V= ∫_a^b▒〖2πx [f(x)-g(x)]dx〗

Where y = f(x), y = g(x), and the interval is considered as [a,b].

The given curves are: y = 11 − x, y = 0, x = 3, x = 9

V= ∫_3^9▒〖2πx [11-x-0]dx〗

V= 2π∫_3^9▒〖(11x-x^2)dx〗

V= 2π[11/2 x^2-  1/3 x^3]

V= 2π[11/2 9^2-  1/3 9^3-  11/2 3^2+  1/3 3^3]

V= 2π[891/2-  729/3-  99/2+  27/3]

V= 2π[729/2-  702/3]

V= 2π[396-234]

V= 2π[162]

V= 324π cubic units

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Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

Answer:

10 x ( 1/2x + 6 ) = 10

Answer:the answer is 1/16

so none of the above

Step-by-step explanation:

In this case, the amount of the paint that she used to paint her room is 4 1/2 of the paint

Here are the general steps to follow when forming an equation from a word problem:

Read the problem carefully and identify the quantities and variables involved. Look for keywords that indicate the mathematical operation to be performed, such as "sum", "difference", "product", "quotient", "is", "was", "will be", "more than", "less than", "equal to", etc.

Translate the words into mathematical expressions and equations. Use the quantities and variables identified in step 1 to form equations. Assign variables to unknown quantities, and use algebraic symbols and operations to represent the relationships between the quantities.

Solve the equations to find the answer to the problem. Simplify the equations and solve for the unknown variable. Check your answer to make sure it makes sense in the context of the problem.

1) 5 * 19/4

= 95/4

23 3/4

2) Total weight = 3(14/3) + 5(15/2)

14 + 75/2

28 + 75/2

= 51  1/2 pounds

3) x = 45/8 *  4/5

= 9/2

= 4 1/2

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Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

This is the same as writing y = sqrt(4(x+5)) - 1

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

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

Answer:

Step-by-step explanation:

The simple interest can be calculated as follows:

I = P * r * t

Where:

I = interest

P = principal amount (3000)

r = interest rate (0.10)

t = time in years (5)

So,

I = 3000 * 0.10 * 5

I = 1500

The final balance would be:

P + I = 3000 + 1500

P + I = 4500

The final balance, rounded to the nearest cent, is $4500.

In the situation, 7/1.6 and 35/8 are proportional.

If the ratio between the corresponding elements of two numerical sequences, frequently experimental data, is constant, the sequences are proportional or directly proportional.

We have given \($ \rm \frac{7}{1.6}\ \text{and}\ \frac{35}{8}\)

\($ \rm \frac{7}{1.6}\ \text{and}\ \frac{35}{8}\)

Multiply the cross-product and

35 × 1.6 must be equal to 7 × 8 to be proportional.

35 × 1.6

= 56

And then,

7 × 8

= 56

We see that,

56 = 56

Since the cross-products are equal to 1, we can say that 7/1.6 and 35/8 are proportional.

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Answer:

8+12= 2x

multiply all of them by power of 2

Step-by-step explanation:

so,

64+144 = 4x

208=4x

x = 52 what is the root of 52 the answer is

x = 7.188 or 3/16

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The central angle is approximately 2.357 radians.

To find the central angle, we can use the formula:

Central angle (θ) = arc length ÷ radius

Given:

Arc length (mXY) = 18 in

Radius (ZY) = 7.64 in

Plugging in the values:

Central angle (θ) = 18 in ÷ 7.64 in

Calculating the division:

θ ≈ 2.357 radians

Therefore, the central angle is approximately 2.357 radians.

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Answer:

LN = 37

Step-by-step explanation:

Answer:

3.8

Step-by-step explanation:

pls mark as brainliest

Answer:

3.8

Step-by-step explanation:

Rounding to the nearest tenth means that eliminating the digits in the hundredths and thousandths place and if the hundredths place is greater than 5, then you also have to add a 1 to the tenths place.

So, The number becomes:

=> 3.8 (Hundredths place have 6 which is greater than 5)

Answer: C

Step-by-step explanation:

135 as a product of its prime factors is written as  3 × 3 x 3 x 5

The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.

In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.

From the information given, we have the value as;

135

The prime factors are  3 × 3 x 3 x 5

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Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Simply subtract 31 from 66 to receive the value of x

Answer:

X = 35

Step-by-step explanation:

Take 31 over to the other side so the equation looks like this

\(x = 66 - 31\)

Then, solve for 66 - 31.

You will end up with x = 35.

You can also check your work by substituting X with 35.  

Hopefully this helped :)

Answer:you move up by two

Step-by-step explanation:

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

Answer:

\(59/140\)

Step-by-step explanation:

Answer:

\(\frac{59}{140}\)

Step-by-step explanation:

\(\frac{5}{14} = \frac{50}{140}\)

\(\frac{1}{10} = \frac{14}{140}\)

\(\frac{1}{28} = \frac{5}{140}\)

\(\frac{50}{140} +\frac{14}{140} -\frac{5}{140} = \frac{64}{140} - \frac{5}{140} = \frac{59}{140}\)

¡Espero que esto ayude!

Answer:

1584

Step-by-step explanation:

Distribution of cards in a deck:

Total number of cards = 52

Total number of cards drawn = 5

Sampling without replacement :

Number of Aces = 4

Number of kings = 4

Card different from Aces and kings = total cards - (4 + 4) ;

52 - 8 = 44 cards

(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)

Using combination :

4C2 * 4C2 * 44C1

Using calculator :

6 * 6 * 44

= 1584

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

Answer:

H+ = 0.001

Step-by-step explanation:

3 = -log[H+]

Identity to use: \(-log_{b}(a) = log_{b}(1/a)\)

3 = log[ 1 / H+ ]

Identity to use: \(10^{log(x)} = x\)

Therefore, I am going raise each side of the equation to the power of 10 to isolate [ 1 / H+ ]

10³ = \(10^{log(\frac{1}{H+} )}\)

1000 = 1 / H+

H+ = 1 / 1000

Answer: H+ = 0.001

The simplified expression is  d/ c⁴.

To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:

Using the property of exponents as

When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:

aᵇ x aⁿ= aᵇ⁺ⁿ

When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:

aᵇ / aⁿ= aᵇ⁻ⁿ

So, cd³ c⁻⁵ x d⁻²

= c¹⁻⁵ x d³⁻²

= c⁻⁴ x d¹

= dc⁻⁴

Again from the property of exponents

a⁻ᵇ = 1/aᵇ

So,  dc⁻⁴

= d/ c⁴

Therefore, the simplified expression is  d/ c⁴.

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Answer:

(4 - 3x) / ( 3x - 4) = -1

(2x + 5)/(5x + 2) = 0

Step-by-step explanation:

\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)