Mckenzie and Cara both tried to find the missing side of the right triangle. HURRY PLEASE DUE TODAY. I WILL MARK BRANLIEST IF MULTIPLE PEOPLE ANSWER.
Mckenzie's Work: Cara's Work:
a2 + b2 = c2 a2 + b2 = c2
52 + 132 = c2 52 + b2 = 132
25 + 169 = c2 25 + b2 = 169
194 = c2 b2 = 144
Square root 194 equals square root c squared. Square root b squared equals square root 144.
13.93 ≈ c b ≈ 12

Answer:

x=4 that is it i believe and bc i did it

Answer:

c the number of employees is increasing by 50% every year

Answer:

c. number of employees is increasing by 50% every year

Radical expression containing third root terms will be first multiplied and then simplified to its simplest form.

A radical expression is a mathematical expression containing a radical symbol (√). A radical expression contains three distinct parts:

1. A radical symbol which is the square root sign.

2. A radicand which is a component inside the radical,

3. A degree which is the root represented by the radical.

In the given expression, the radicand is 9 while the degree is 3.

As the degree is the same for both the terms, we can multiply the radicand.

Multiplying the radicand terms,

∛(9*9)=∛81

Simplifying the radicand,

∛(3*3*3*3)

Taking the cube root and simplifying,

3∛3

Hence, ∛9.∛9 = 3∛3

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The logarithmic expression as a single logarithm is log. a³/b²

A logarithmic and even sometimes log function is the inverse of an exponential function. We could employ a log function to find an exponent.

We should be able to transform between logarithmic as well as exponential forms in order to calculate earthquake magnitudes and otherwise correlate the magnitudes of two distinct earthquakes.

Let's use this information to make our log. Here is the logarithmic function:

Now, as for the represented expression;

= 3 log a-2 log b

Using the power rule in both of the terms.

=  log a³- log b²

Now, applying the Quotient Rule,

= log a³/b²

Therefore, the obtained single logarithm for the given logarithmic expression is log a³/b².

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Answer:

4.1

Step-by-step explanation:

madookoo doo doo

The function C(F) to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit will be equal to [tex][(\frac{5}{9}F) -\frac{160}{9}][/tex]

As per the question statement,  the formula [F(C) = 9/5C + 32] is to calculate the temperature in degrees Fahrenheit for a given a temperature in degrees Celsius.

We are required to determine the function to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit.

Since, [F(C) = 9/5C + 32],

[tex]or, [F = \frac{9}{5} C + 32]\\or, (F-32)= \frac{9}{5} C\\or, \frac{9}{5} C=(F-32)\\or,C=\frac{5}{9} (F-32)\\or,C=\frac{5}{9}F-\frac{160}{9}[/tex]

That is, the function to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit is [tex]C(F)=[(\frac{5}{9}F) -\frac{160}{9}][/tex].

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Answer:

inverse

C(F)=5/9F-106/9

check all

Step-by-step explanation:

23

The single logarithm for the given expression (2 log₄6 - log₄9) is 1.

The given logarithmic expression is 2 log₄6 - log₄9.

Use the ability rule of the logarithm logₐ(Xⁿ) = n logₐ(X), to get 2

log₄6 - log₄9= log₄6² - log₄9

= log₄36 - log₄9          (Since 6² = 36)

Use the quotient rule of the logarithm logₐ(X/Y) = logₐ(X) - logₐ(Y), to get:

log₄36 - log₄9= log₄(36/9) = log₄(4)      

(Dividing 36 by 9, to get, 36 ÷ 9 = 4)

= 1                (Since logₐ(a) = 1)

Therefore, the one logarithm for the given logarithmic expression (2 log₄6 - log₄9) is 1

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Answer: Pretty sure its B. The same shape and size.

Step-by-step explanation:

If Upper pointing arrow with height of 11 and length of 9. Rectangular base of arrow has length of 7 and height of 8. All units are in centimeters. The area of the arrow by decomposing it into rectangles and triangles is: 69.5 square centimeters.

First step is to determine the Area of triangle using this formula

Area of triangle= ½×breadth ×height

Where:

Breadth=9

Height of triangle= 11 - 8

Height of triangle = 3cm

Area of triangle= ½ × 9 × 3

Area of triangle = 13.5 cm²

Second step is to determine the area of rectangle

Area of rectangle= length × breadth

Area of rectangle= 8 × 7

Area of rectangle= 56 cm²

Third step is to determine the total area

Total area=Area of triangles+ Area of rectangle

Total area = 13.5 + 56

Total area= 69.5 cm²

Therefore the area of the arrow by decomposing it into rectangles and triangles is: 69.5 square centimeters.

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the range of the function g(x) will be y ≤ 0.

We know that the absolute value function g(x) can be written as:

g(x) = a*|x|

Remember that the range of f(x) = |x| is y > 0, and a is a negative number, so the function is reflected over the horizontal axis.

Then the maximum value will be when x = 0, then:

g(0) = a*|0| = 0, that is the maximum.

And then the function opens downwards. Then the range will be y ≤ 0.

So the range of the absolute value function g(x) is the set of all real values equal to or smaller than zero.

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The translation of the polygon 3 units down and 4 units left is;

A''(-2, -4)

B"(-3, -7)

C"(-1, -8)

D"(1, -6)

We are given the coordinates of the polygon as;

A(2, -1), B(1, -4), C(3, -5), D(5, -3)

Now, we are told that all points are translated 3 units down and 4 units left. Thus, the new coordinates are;

A'(2, -1 - 3) = A'(2, -4)

B(1, -4 - 3) = B'(1, -7)

C(3, -5 - 3) = C'(3, -8)

D(5 , -3 - 3) = D'(5, -6)

Translation of 4 units left is now;

A''(2 - 4, -4) = A''(-2, -4)

B"(1 - 4, -7) = B"(-3, -7)

C"(3 - 4, -8) = C"(-1, -8)

D"(5 - 4, -6) = D"(1, -6)

The translation of the polygon 3 units down and 4 units left is;

A''(-2, -4)

B"(-3, -7)

C"(-1, -8)

D"(1, -6)

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Answer:

27

Step-by-step explanation:

Based on the attached graph, the point that is located at (5,-2) is point F

The graph that completes the question is added as an attachment

The point located at (5,-2) implies that the coordinates of the point are

x-coordinate = 5

y-coordinate = -2

From the attached graph, we can see that the point F has the following properties

x-coordinate = 5

y-coordinate = -2

This means that the point F is located at (5,-2)

Hence, the point that is located at (5,-2) is point F

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According to the given equation(4 e x⁻¹=64) the value will be = x=4ln(2)−(−1).

Logarithms are another technique to express exponents. An integer's baseline logarithm matches another number. A logarithm is the inverse of exponentiation.

Given : 4 e x⁻¹=64

STEPS USING DEFINITION OF LOGARITHM

4e ^(x−1) =64

To resolve the equation, use exponents and logarithms laws.

4e^x−1 =64

Divide both sides by 4.

e^x−1 =16

Take the logarithm of something like the equation's two sides.

loge^x−1 = log16

Divide both sides by log(e).

[tex]x-1=\frac{\log (16)}{\log (e)}\\[/tex]

By the change-of-base formula [tex]\frac{\log (a)}{\log (b)}=\log _b(a)[/tex]

x−1=log e(16)

add1 from both components of the equation.

According to the given equation(4 e x⁻¹=64) the value will be = x=4ln(2)−(−1)

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[tex]27x^{12}[/tex] smaller cubes will fit in the larger cube.

Given,

Side length of the smaller cube = [tex]x^{2}[/tex] units.

Side length of the larger cube = [tex]3x^{6}[/tex] units.

We have to find the number of smaller cubes that can be fitted in the larger cube.

Volume of cube is given by the formula,

Volume = (side)³

Volume of the larger cube = [tex](3x^{6} )^{3}[/tex]   =  [tex]27x^{18}[/tex]units³

Volume of the smaller cube = [tex](x^{2} )^{3}[/tex] = [tex]x^{6}[/tex] units³

Let the number of smaller cube that can be fitted in the larger cube = n

Volume of  n cubes = [tex]nx^{6}[/tex] units³

If space inside the larger cube will be occupied by 'n' smaller cubes,

  volume of n smaller cubes = Volume of a larger cube

                                      [tex]nx^{6}[/tex]           =  [tex]27x^{18}[/tex]

                                       n             = [tex]27x^{12}[/tex]

Therefore, [tex]27x^{12}[/tex] smaller cubes can be fitted in the larger cube.

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Answer:

34

Step-by-step explanation:

hutbjj jugo uva bombom

√10 is greater than √2 + √3 .

First we assume that  √10 is greater than √2 + √3. Then we check if this relation is true.

So suppose that  √10 > √2 + √3

On squaring both sides and using the algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex],

⇒ 10 > 2 + 3 + 2√6

⇒ 10 > 5 + 2√6

Subtracting 5 from both sides, we get,

⇒ 5 > 2√6

Again squaring on both sides,

⇒ 25 > 4 x 6

⇒ 25 > 24

This is a true relation. So our assumption that √10 is greater than √2 + √3 was right.

Therefore, √10 > √2 + √3

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The expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

What is a logarithmic function?

A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1

Expanding the given logarithm: log 2 x³y⁻²  

Given logarithmic expression is log 2 x³y⁻²  

Applying given properties of logarithmic function;

log a + log b = log (ab)

2 log a = log a^2

Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²

= log 3 + 3 log x - 2 log y

Hence, the expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

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Yes  , the set of real numbers closed under addition because on adding them we get a new number .

If the operation produces even one part outside of the set, the operation isn't closed.

The set of real numbers is closed below addition. If you add 2 real numbers, you'll get another complex quantity. there's no chance of ever obtaining something apart from another complex quantity.

5 + 12 = 17

2.5 + 3.4 = 5.9

As , we get another quantity on adding real number , hence it is closed under addition.

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The most pieces of fabric that can be used is 144 pieces, making a quilt with 12 pieces on each side.

The square is a term to refer to a geometric figure that is characterized by being a type of parallelogram with four sides of equal length. A square is a regular polygon that has all its sides equal, and its interior angles measure 90º.

To identify the number of square pieces that I can use to make a square quilt, I must keep in mind that to create a square quilt I must put the same number of pieces on each side of the quilt so that it forms a perfect square.

To identify the maximum number of pieces needed, we can try taking the square root of 150, 149, 148, 147... until the result is a integer number (no decimals). In this case the first integer that appears is 12 by taking the square root of 144 as shown below.

[tex]\sqrt[2]{144} = 12[/tex]

This means that to make a square quilt we must use 144 pieces in total and place 12 pieces on each side of the square. Additionally we can state that the side length of this quilt is 48 inches because each piece measured 4 inches on a side.

4 inches × 12 = 48 inches.

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Using it's concept, the domain of the relation is given as follows:

x ≥ 0.

In a graph, the domain and the range are found as follows:

From the graph, we have that the weights of the packages assume all values to the right of 0, hence the domain of the relation is given as follows:

x ≥ 0.

The relation is incomplete, and is given by the graph at the end of the answer.

The question asked is the domain of the relation.

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Answer: |81 - (-29)|==> C

Step-by-step explanation:

h=high temperature

h=81

l=low temperature

l=-29

d=difference in high and low temperature

h-l=d

81-(-29)=d

81+29=d

d=110 ==> |81 - (-29)|=|81 +29|=|110|=110

|81 - (-29)|==> C

|81 -29|=|52|=52

-29 + 81=81-29=52

Answer:

the answer is the 235⁰ ok that

juanita should use 0.625 to update her report.

given that the pitcher threw 384 pitches  and used fastball 240 times.

according to the information

240÷ 384

To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.

How do you divide decimals step by step?

The step-wise procedure for dividing decimals by a whole number is given below:

Step 1: Write the given division expression in the standard form.

Step 2: Now, we have to divide the decimal number's whole number part by the divisor.

Step 3: Place the decimal point in the quotient above the dividend's decimal point and then bring down the tenths' digit.

Step 4: If the tenth digit of the obtained dividend cannot be divided by the divisor, write 0 in the quotient and in front of the tenths' digit. Otherwise, proceed with the division process.

Step 5: Repeat the above step and keep adding the zeroes in the dividend until 0 is obtained in the remainder.

240 ÷ 384

⇒ 0.625

so juanita should use 0.625 to update her report

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Answer:-8

Step-by-step explanation:hope it helps, brainliest? i could really use it

Answer:

Step-by-step explanation:

When there are two negatives it equals a positive-

[tex]1.242-(-2.9) = 1.242+2.9\\ \\ =4.142[/tex]

Answer = 4.142

Answer:

10 hours

Step-by-step explanation:

Unit rate   18 items / 15 hrs = 1.2 items pe hour

12 items / 1.2 items / hour    = 10 hours

The probabilities of all possible outcomes must sum to 1. So the missing probability is

1 - 1/2 - 3/10 - 1/20 = (20 - 10 - 6 - 1)/20 = 3/20