8 of 10
1
3
Work out the sum of 5 and
10
Give your answer in its simplest form.

Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

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Answer:

121

44/4

11x11=12....

Answer:

1936

Step-by-step explanation:

Since its a square all sides are the same so if 44 is one side all the other is also 44. if you want an area the formula is A=L x L so A=44 x 44 which is 1936

Answer:

look here

Step-by-step explanation:

465=150+150+150+15

150=10*15

15=1*15

10+10+10+1=31

Answer:

1/6

Step-by-step explanation:

Answer:

1/4× 2/3= 1/6

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

-1 is not in the domain of (f o g)(x)

Step-by-step explanation:

f(x) = sqrt(x - 9)

g(x) = -6x - 3

(f o g)(x) = f(g(x)) = sqrt(g(x) - 9)

(f o g)(x) = sqrt(-6x - 3 - 9)

(f o g)(x) = sqrt(-6x - 12)

Let x = -1:

(f o g)(-1) = sqrt(-6(-1) - 12)

(f o g)(-1) = sqrt(6 - 12)

(f o g)(-1) = sqrt(-6)

Since sqrt(-6) is not a real number, -1 is not in the domain of (f o g)(x).

Answer:

A

Step-by-step explanation:

Recall that if we are given fractional exponents, we can use the following property:

\(\displaystyle x^{ {}^{a}\!/\! {}_{b}} = \sqrt[b]{x^a}\)

We are given the expression:

\(\displaystyle (3p^3q)^{ {}^{3}\!/\! {}_{4} }\)

Use the above property, this yields:

\(=\sqrt[4]{(3p^3q)^3}\)

Using the power of a power property, we can simplify this to:

\(=\sqrt[4]{(3^3)(p^3)^3(q)^3}\)

Simplify:

\(=\sqrt[4]{27p^9q^3}\)

In conclusion, our answer is A.

Answer:

Following are the ratio to this question:

Step-by-step explanation:

Given:

\(\bold{\tan \phi = \frac{60}{11} }\\\\\)

Formula:

\(\sin \phi = \frac{Perpendicular}{Hypotenuse}\\\\\cos \phi = \frac{Base}{Hypotenuse} \\\\\tan \phi = \frac{Perpendicular}{Base} \\\\\ cosec \phi = \frac{Hypotenuse}{Perpendicular}\\\\\sec \phi =\frac{Hypotenuse}{Base}\\\\\cot \phi = \frac{Base}{Perpendicular}\\\\\)

\(\ Base = 11 \\\ Perpendicular =60\\\ Hypotenuse= 61\\\)

\(\sin \phi = \frac{60}{61}\\\\\cos \phi = \frac{11}{61} \\\\\tan \phi = \frac{60}{11} \\\\\ cosec \phi = \frac{ 61}{60}\\\\\sec \phi =\frac{61}{11}\\\\\cot \phi = \frac{11}{60}\\\\\)

Answer:

\(\displaystyle{=-\dfrac{p^5}{6}}\)

Step-by-step explanation:

Given the expression:

\(\displaystyle{\dfrac{1}{-6p^{-5}}}\)

We have to apply the negative exponent law where:

\(\displaystyle{x^{-n} =\dfrac{1}{x^n}}\)

Thus:

\(\displaystyle{\dfrac{1}{-6p^{-5}}= \dfrac{1}{-6\cdot \dfrac{1}{p^5}}}\\\\\displaystyle{=\dfrac{1}{ - \dfrac{6}{p^5} }}\\\\\displaystyle{= 1 \cdot \left(-\dfrac{p^5}{6}\right)}\\\\\displaystyle{=-\dfrac{p^5}{6}}\)

But there's a trick here, consider this:

\(\displaystyle{\dfrac{a}{kb^{-n}}}\\\\\displaystyle{=\dfrac{a}{\dfrac{k}{b^n}}}\\\\\displaystyle{=\dfrac{ab^n}{k}}\)

So the trick is to just move \(p^{-5}\) up then you'll have \(p^5\) as a numerator (top) which still results the same as the answer.

The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

It is defined as a three-dimensional space enclosed by an object or thing.

We have a triangular prism shown in the picture with dimensions.

As we know, the volume of the triangular prism is given by:

V = bhl/2

h = √[2²- (2/2)²]

h = √(4-1)

h = √3 units

V = (2×√3×5)/2

V = 5√3 cubic units

Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

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The radius of the circle, marked p on the diagram, is approximately 5.8 cm.

Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.

The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.

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Answer:

Step-by-step explanation:

h=11.4 in

r=5.1 in

v=3.14*r^2*(h/3)

V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35

The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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Answer:

Step-by-step explanation:

b/c  AC  is || (parallel)  to DE and angle   C = E,  then  FE is || to GC

Answer:

Step-by-step explanation: the answer is 1. IF only 1 value of x has more than 1 value of y, then the equation is a relation and not a function. ANSWER:1

HOPE THIS HELPS! good luck!

Answer:

Complemetry angle = 90° - 40°

= 50°

Hii!

___________________________________________________________

Answer:

\(\sf 48\textdegree\)

Step-by-step explanation:

The sum of complementary angles is always 90 degrees.

We can find the complement of 90 by setting up an equation; (let x be the unknown angle).

\(\implies\) 42+x=90

Subtract 42 from both sides

x=48

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Hope that this helped! Best wishes.

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The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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Answer:

D. Water Temperature

Step-by-step explanation:

A scientist wants to test the effect of water temperature on the success of developing frog embryos. The scientist monitors developing  embryos in different water temperatures and counts the number of embryos that mature into tadpoles.

The water temperature is the independent variable because that is what the scientist is testing / changing.

Hopefully this helps!

Brainliest please?

Using variable concepts, it is found that the independent variable is given by:

D. Water temperature​

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In this problem, the input is the water temperature, hence option D is correct.

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Answer:

40 students choose Papa John's, and 24 did not

Step-by-step explanation:

This question can be solved by proportions, using rule of three.

For each 8 students, 5 chose Papa John's. Out of 64, how many choose?

5 - 8

x - 64

Applying cross multiplication

\(8x = 5*64\)

Simplifying by 8

\(x = 5*8 = 40\)

40 students choose Papa John's.

In all, there are 64 students, so 64 - 40 = 24 did not

The probability of the combined event that the next six days are all sunny is 1/4096

From the question, we have the following parameters that can be used in our computation:

Probability that it is sunny = 1/4

Probability that it is cloudy = 3/4

Number of days = 6

The probability for all six days, it is sunny is represented as

Probability = Probability that it is sunny^Number of days

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/4)⁶

Express as decimal

Probability = (0.25)⁶

Evaluate the exponent

Probability = 1/4096

Hence, the probability is 1/4096

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Answer: Jessica collected 135 trading cards.

Step-by-step explanation:

you just multiply 45 by 3 to get 135

Answer:

1 hope this helps

Step-by-step explanation:

Let x be the amount you might spend to rent a canoe, then we have:

Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

Answer:

Step-by-step explanation:

The sum of exterior angles in a quadrilateral is always 360 degrees.

So, 2x+x+4x+3x=10x=360

Soling for x, we get x=36 degrees.

Answer:

21

Step-by-step explanation:

84/12=7x3=21

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

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