Here's a box plot that summarizes the average monthly rainfall of several
cities.
□•
H▬▬▬▬▬▬|||▬▬▬▬▬▬▬▬▬▬▬▬▬▬||▬▬▬▬▬▬▬▬▬▬
0 1 2 3 4 5 6 7 8
Monthly rainfall (centimeters)
Find the range of the data.
cm
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Answer:It´s asking what the vale of P(4,3) is equal to and it´s P(4, 3) = 24

Step-by-step explanation:

Answer:

¼ cup of flour

Step-by-step explanation:

½ of ½ cup = ½×½ cup = ¼ cup

Answer:

1/4 cup of flour

Step-by-step explanation:

If you are doing half the recipe, and the recipe calls for 1/4 cup of flour, you divide the recipe (And portions), in two. So, half of 1/2 is 1/4,

Answer:

\(21x^4+56x^3+49x^2\)

Step-by-step explanation:

\(A=hw \\ \\ =(7x^2)(3x^2+8x+7) \\ \\ =21x^4+56x^3+49x^2\)

One way to solve this problem in O(n) time complexity is by using two-pointers. Start with one pointer at the beginning of the array and another at the end.

Compare the sum of the elements at the two pointers with t. If the sum is equal to t, we have found two distinct elements x and y such that x + y = t. If the sum is less than t, move the pointer at the beginning of the array one step forward.

If the sum is greater than t, move the pointer at the end of the array one step backward. Repeat this process until either the two pointers meet or the desired pair is found.

Initialize two pointers, one at the beginning of the array (left pointer) and another at the end of the array (right pointer).

Compare the sum of the elements at the left and right pointers with t.

If the sum is equal to t, return true as we have found two distinct elements x and y such that x + y = t.

If the sum is less than t, move the left pointer one step forward.

If the sum is greater than t, move the right pointer one step backward.

Repeat steps 2 to 5 until either the two pointers meet or the desired pair is found.

If the two pointers meet without finding the desired pair, return false.

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Answer:

The expression that can be used to approximate the expression "logax" for all positive numbers a, b, and x, where a=1 and b=1 is:

log1x = 0

Answer:

6 × 15 equals 90, and the sine of 90° = 1.  That gives us 1 + 3.  The answer then is 4.

I think this is the answer

=(3h+61)

Based on the calculations, the two numbers are -3 and -5 respectively.

In this exercise, you're required to find two numbers. Thus, we would assign a variable to the numbers and then solve the algebraic expression by using the substitution method.

Let the first number be x.

Let the second number be y.

Translating the word problem into an algebraic expression, we have;

\(x+y=-8\)   ...equation 1.

\(xy=15\)   ....equation 2.

From eqn. 1, we have:

\(x=-8-y\)   ....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

\((-8-y)y=15\\\\-8y-y^2=15\\\\y^2+8y+15=0\\\\y^2+5y+3y+15=0\\\\y(y+5)+3(y+5)=0\\\\(y+5)(y+3)=0\)

y = -5 or -3.

For the value of x:

\(x=-8-y\\\\x=-8-(-5)\\\\x=-8+5\)

x = -3 or -5.

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\(f(x) = 2x is linear.f(x) = 4^x is exponential.\) This is where at each level, each branch extends into 4 branches.

In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.

A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.

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The complete question is-

Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.

Answer:

25

Step-by-step explanation:

i think you mean +10x

but (x+a)^2 = x^2 + 2ax + a^2

2ax = 10x

ax = 5x

a = 5

so (x+5)^2 = x^2+10x+25

Answer:

4/6=t/(t+1)

Step-by-step explanation:

4/6=t/(t+1)

^that guy wrong

Answer:

its 706.5

Step-by-step explanation:

took the k12 test

Answer:

\(y = x - \frac{2}{3} \)

from

\(y = mx + c\)

Step-by-step explanation:

since the gradient of the line is 0

There are 80% of mangoes which are good condition.

Percentage is a relative value indicating hundredth parts of any quantity.

Given that, A basket contains 40 mangoes out of which 8 are rotten.

Mangoes in total = 40

Number of mangoes which are rotten = 8

Mangoes which are good condition = 40-8 = 32

Percentage of good mangoes = 32/40x100 = 80%

Hence, 80% of mangoes are not rotten.

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Answer:

6

Step-by-step explanation:

The diameter is half of the given radius, therefore, split the radius in half.

\(\frac{12\:in^2}{2} = 6\:in^2\)

The measure of angle C (m ∠C) is 40°

From the question, we are to determine the measure of angle C (m ∠C)

In any given triangle, the sum of all the angles is 180°

Thus,

In ΔABC, the angles sum up to 180°

That is,

∠A + ∠B + ∠C = 180°

From the given information,

m ∠A = 80°, m ∠B = 60°

Thus,

80° + 60° + m ∠C = 180°

140° + m ∠C = 180°

m ∠C = 180° - 140°

m ∠C = 40°

Hence, the measure of angle C (m ∠C) is 40°

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Through the graph we will determine if the line integral of each vector field is positive, negative, or zero. The answer to this question is:

-Positive

-Negative

-Zero

-Negative

-Zero

-Zero

What is the Line integral?

A line integral, also known as the route integral, curve integral, or curvilinear integral, is used to find the surface's area in three dimensions. In this integral, the function is evaluated along a curve. There are several applications of line integrals, such as in the field of electromagnetics, to find the force applied on a charged particle moving along a curve in a force field created by a vector field.

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(a)  Angular speed of the fan = 360 radians/min.

(b) Number of revolutions = 57 revolutions/min.

The relation between the linear speed ans the angular speed is;

v = rω

Where, v is the linear speed, r is the radius and ω is the angular speed.

Part a: Linear speed of fan = 8 feet per second

Convert it in inch/min.

8 feet /second × 12 inches × 60 sec

5760 inch/min

Radius of the blades of fan; 16 inches.

Put the values;

v = rω

v/r = ω

ω = 5760 inch/min /(16 inches)

ω = 360 radians/min

Thus, the angular speed of the fan is found as 360 radians/min.

Part b: For number of revolutions a blade.

ω = 360 radians/min × (1 revolution/2π radians)

ω = 57.29 revolutions/ min

ω = 57 revolutions/ min (approx)

Thus, the revolution of the fan is found as ω = 57 revolutions/ min (approx).

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Answer:

Cable: 10%  Satellite: 40%  Streaming Service: 50%

Step-by-step explanation:

There are 10 friends  

1 has cable

4 have satellite

5 have streaming service  

Which means:

Cable is 10%

Satellite is 40%

Streaming Service is 50%

Answer:

Cable Television: 10%

Satellite Television: 40%

Streaming Service: 50%

Step-by-step explanation:

Cable television: \(\frac{1}{1+4+5} =\frac{1}{10} =\frac{10}{100}\) or 10%

Satellite television: \(\frac{4}{1+4+5} =\frac{4}{10} =\frac{40}{100}\) or 40%

Streaming service: \(\frac{5}{1+4+5} =\frac{5}{10} =\frac{50}{100}\) or 50%

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

Option B

Step-by-step explanation:

If the larger triangle (Preimage) is dilated by a scale factor 'k' to form the image triangle (small triangle),

Scale factor = \(\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the preimage}}\)

                 k = \(\frac{3}{2.4}\)

Therefore, Option B will be the correct option.

The data given are 47, 56, 57, 63, 89, 44, 56

To calculate the mean:

The mean of the data can be defined as

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

= 34

Step-by-step explanation:

(32)-5+7

32 - 5 + 7

= 32 + 2

= 34.

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

Ratio refers to the quantitative relationship between two or more quantities, expressing the proportion of one quantity to the other(s). It is typically expressed as a fraction, where the numerator represents one quantity, and the denominator represents the other quantity.

For example, the ratio of the number of boys to the number of girls in a class of 30 students might be expressed as 2:3, which means there are 20 girls and 10 boys in the class. Similarly, the ratio of the length to the width of a rectangle might be expressed as 4:3, indicating that the length is four times greater than the width.

The ratio of sheep to horses is 4:1, which means that for every 4 sheep on the farm, there is 1 horse. We can also say that the total ratio of sheep and horses on the farm is 4+1=5.

To express the relationship between the chickens and the sheep, we need to use the fact that there are 32 chickens and 12 sheep on the farm. We can write this as a ratio:

\(chickens : sheep = 32 : 12\)

We can simplify this ratio by dividing both sides by 4:

\(chickens: sheep = 8: 3\)

This means that for every 8 chickens on the farm, there are 3 sheep.

To determine the number of horses on the farm, we can use the fact that the total ratio of sheep and horses is 5. We know that the ratio of sheep to horses is 4:1, so we can write:

\(sheep : horses = 4 : 1\)

We can simplify this ratio by dividing both sides by 4:

\(sheep : horses = 1 : 0.25\)

This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:

\(12 * 0.25 = 3\)

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Answer:

\(20\)

Step-by-step-Explanation:

Remember, the Pythagorean Theorem.

\(a^{2} + b^{2} = c^{2}\)

\(21^{2} + b^{2}=29^{2}\)

\(29^{2} -21^{2} =400\)

sq rt of \(400=20\)

Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Part A: The mean and median for Bay Side School are 3.8 and 5, respectively, while for Seaside School they are 4.93 and 5.

Part B: The range and IQR for Bay Side School are 8 and 4, respectively, while for Seaside School they are 8 and 2.

Part C: Bay Side School is a better choice for smaller class sizes due to its smaller mean, smaller range, and larger IQR.

Part A: Measures of Center

Bay Side School:

Mean = 3.8 (The sum of all class sizes divided by the number of classes)

Median = 5 (The middle value when class sizes are arranged in ascending order)

Seaside School:

Mean = 4.93 (The sum of all class sizes divided by the number of classes)

Median = 5 (The middle value when class sizes are arranged in ascending order)

Part B: Measures of Variability

Bay Side School:

Range = 8 (The difference between the maximum and minimum class sizes)

Interquartile Range (IQR) = 4 (The difference between the first quartile and third quartile)

Seaside School:

Range = 8 (The difference between the maximum and minimum class sizes)

Interquartile Range (IQR) = 2 (The difference between the first quartile and third quartile)

Part C: Conclusion and Reasoning

If you are interested in a smaller class size, Bay Side School is a better choice. Bay Side School has a smaller mean (3.8) compared to Seaside School (4.93), indicating a generally smaller class size. Additionally, the median class size is the same for both schools, but the range and IQR are smaller for Bay Side School.

This suggests that class sizes at Bay Side School have less variation and are more consistently smaller. Therefore, based on the provided data, Bay Side School is the better choice for smaller class sizes.

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Answer:

18.67 cups of flour per serving.

Step-by-step explanation:

Since you only need to know how many cups of flour there are per serving, you can ignore the white and brown sugar.

112/6=18.67 cups of flour per serving.

The total monthly payment of Ricky with an APR of 3.84 % is given by the equation M = $ 1,208.0523

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest. An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.

The monthly payment \(M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]\)

where

M = Total monthly payment

P = The total amount of your loan

I = Your interest rate, as a monthly percentage

N = number of months for paying off your mortgage

Given data ,

Let the monthly payment be represented as M

Now , the number of years n = 20 years

The annual interest rate i = 3.84 %

The total loan amount P = $ 258,000

Now , the monthly payment \(M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1]\)

On simplifying , we get

\(M = 258,000 [ ( \frac{ 0.0384}{12} ) ( 1 + \frac{ 0.0384}{12} )^{12*30} ] / [ ( 1 + \frac{ 0.0384}{12} )^{12*30} - 1 ]\)

\(M = 258,000 [ (0.0032 ) ( 1.0032 )^{360} ] / [ ( 1.0032 )^{360} - 1 ]\)

On further simplification , we get

M = 258,000 [ 0.0101078417 ] / [ 2.158700543922579 ]

M = 258,000 ( 0.00468237327729 )

M = $ 1,208.0523

Hence , the monthly payment of Ricky is $ 1,208.0523

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