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In circle P, m/NQO= 73°. Solve for a if mNO = (6a-20)°. If necessary,
round your answer to the nearest tenth.

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Explanation:

The distributive property is

x(y+z) = x*y + x*z

We multiply the outer term x by each term inside the parenthesis y and z, and add up the results.

In this case, the outer term 4 is multiplied by the terms inside the parenthesis 2a and 3

So,

That's how 4(2a+3) becomes 8a+12 We can then say 4(2a+3) = 8a+12  which is choice D.

Choice A is likely a trick answer because many students often forget to multiply the outer term by each term inside. In other words, they would do this mistake

4(2a+3) = 4*2a+3 = 8a+3

but we would need to multiply that 3 by 4 as well

Choice B seems to be a similar idea, but the 2a is left out this time.

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Extra info (optional section)

The 4 outside the (2a+3) means we have four copies of (2a+3) being added together. Recall that multiplication is effectively repeated addition.

So we could say

4(2a+3) = (2a+3)+(2a+3)+(2a+3)+(2a+3)

4(2a+3) = (2a+2a+2a+2a) + (3+3+3+3)

4(2a+3) = 4*(2a) + 4*(3)

4(2a+3) = 8a + 12

This is one example showing how the distributive property works.

Answer:

20

Step-by-step explanation:

62 = 3x+2

60 = 3x

20 = x

lol yw now make me brainiest pls

Answer:

\(x=3\text{ or } x=-15\)

Step-by-step explanation:

So we have the equation:

\(|2x+12|=18\)

Definition of Absolute Value:

\(2x+12=18\text{ or } 2x+12=-18\)

Subtract 12 from both sides for both equations:

\(2x=6\text{ or } 2x=-30\)

Divide both sides by 2 for both equations:

\(x=3\text{ or } x=-15\)

And we're done!

Answer:

83.75$

Step-by-step explanation:

(5×11.75)+5×(5)=?

5×(11.75+5)=? [DISTRIBUTIVE PROPERTY]

5×16.75=?

83.75

Given:

Equations are given.

Option B and D only has the 4 solutions.

First taking the option B

Option B is the final answer.

Answer:

The z-score is a statistical measure that describes how far a sample estimate is from the population parameter in standard deviation units. It is calculated by taking the difference between the sample estimate and the population parameter, and dividing it by the standard deviation of the sampling distribution of the estimate. The resulting z-score can be used to calculate the probability of observing a sample estimate as extreme or more extreme than the one obtained, assuming the null hypothesis is true.

In this case, the sample estimate is the proportion of individuals who watch television primarily through streaming services, which is 70%, and the population parameter is the proportion of all individuals who watch television primarily through streaming services, which is 56%. The sample size is 350. The null hypothesis is that there is no difference between the sample and population proportions, and the alternative hypothesis is that the sample proportion is greater than the population proportion.

To calculate the z-score, we need to determine the standard error of the sampling distribution of the proportion. The standard error is a measure of the variability of sample estimates due to random sampling variation. It is calculated by taking the square root of the population proportion times one minus the population proportion, divided by the sample size. In this case, the standard error is:

standard error = sqrt[(0.56 * (1 - 0.56)) / 350] = 0.028

The z-score can now be calculated as:

z-score = (0.7 - 0.56) / 0.028 = 5.19

This z-score is quite large, indicating that the sample estimate is more than 5 standard errors away from the population parameter. This suggests strong evidence against the null hypothesis, as the probability of observing a sample estimate as extreme or more extreme than the one obtained is very low, assuming the null hypothesis is true.

In other words, the result of observing a sample proportion of 70% or above is highly unlikely to have occurred by chance alone, assuming that the true population proportion is 56%. This result provides evidence in support of the alternative hypothesis, which states that the sample proportion is greater than the population proportion.

-5 -9 I know cuz of my brain telling me da answer

The year in which the two quantities will be equal is 2133.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have the following data.

y=0.221x-368.264 For men

y=0.168x-255.196 for women

So when we will equate these two equation we will get the year in which two quantities will be same.

0.221x-368.264=0.168x-255.196

0.221x-0.168x=368.264-255.196

0.053x = 1123.068

x= 2133 year

Hence the year in which the two quantities will be equal is 2133.

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What Yoshi uses is the multiplication property of equality, so the correct option is B.

The step that Yoshi did is:

(1/2)*s = 112

s = 112*(2/1) = 224.

What Yoshi does there is multiplicating both sides by the inverse of (1/2), so it is cancelled in the left side and the variable is isolated.

What he is using there is "Multiplication property of the equality".

Then that is what he should have written, the correct option is B.

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From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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\(Question\)

Is 4,560 divisible by 2, 3, 5 or 10?

Answer:

The Correct Answer Is 5

4560 is divisible by 5 if 4560 divided by 5 results in a whole number with no remainder.

You may also be interested to know that 4.560 divided by 5 is 912.

note that the last digits of any number must end with 0 or 5 to be divisible by 5

Hope this helps!!

\(xXxAnimexXx\)

Answer:

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

Identities we will use:

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

Given expression:

Factorize it by completing the square and setting the difference of squares:

Answer:

   \(h^{l} (s) = \frac{1 }{(\sqrt{s}) (1-\sqrt{s})^{2} }\)

Step-by-step explanation:

Explanation

Given that

          \(h(s) = \frac{1+\sqrt{s} }{1-\sqrt{s} }\)

Differentiating equation (i) with respective to 'x'  ,we get

       \(h^{l} (s) =\frac{1-\sqrt{s}) \frac{1}{2\sqrt{s} } -(1+\sqrt{s})(\frac{-1}{2\sqrt{s} )} }{(1-\sqrt{s})^{2} }\)

      \(h^{l} (s) = \frac{\frac{1}{2\sqrt{s} } -\frac{1}{2\sqrt{s} }X\sqrt{s} + \frac{1}{2\sqrt{s} } +\frac{1}{2\sqrt{s} }X\sqrt{s} }{(1-\sqrt{s})^{2} }\)

      \(h^{l} (s) = \frac{\frac{2}{2\sqrt{s} } }{(1-\sqrt{s})^{2} }\)

     \(h^{l} (s) = \frac{1 }{(\sqrt{s}) (1-\sqrt{s})^{2} }\)

Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Answer:

$2370.59

Step-by-step explanation:

the final balance is $2370.59

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Nickey won 2 games for every 5 games Ryan won. if Ryan won 15 more games than Nickey, Nickey win 6 games.

The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are the fundamental mathematical operations. The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics. Mathematical branch known as arithmetic deals with the study and use of numbers, relationships between numbers, and observations on numbers.

Given

Nickey won 2 games for every 5 games Ryan won

Fraction

2/5

If Ryan won 15 more games than nickey,

Dividing

15/5

3

Multiplying

3 × 2

6

Nickey won 2 games for every 5 games ryan won. if Ryan won 15 more games than Nickey, Nickey win 6 games.

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Answer:

Paige is incorrect.  g(x) has a steeper slope

Step-by-step explanation:

The slope for f(x)  is

m =( y2-y1)/(x2-x1)

   = (17/2 - 5/2) / ( -1 - -6)

    = (17/2 - 5/2) / ( -1 +6)

    = (12/2)/5

    = 6/5

The slope for g(x)  is

m =( y2-y1)/(x2-x1)

   = (-1 - 13/3) / ( 6 - 2)

    =(-3/3 -13/3) / (6-2)

    (-16/3)/4

     -16/3 * 1/4

   - 4/3

Comparing the magnitudes

|6/5|   |-4/3|

|6/5*3/3|     |-4/3*5/5|

|18/15|           |20/15|

|20/15| is greater so it has a steeper slope

g(x) has a steeper slope

Answer:

14 + 28 = 42

Step-by-step explanation:

2 x 3 x 7

Answer/Step-by-step explanation:

Total Distance = 3Ft

a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.

Amplitude = 3/2 = 1.5         period = 10 second

\(\frac{0}{1} =\frac{2\pi }{b}\)      \(b=\frac{\pi }{5}\)         No ph. Shift

b) Write an equation of a function that models the buoy with x=0 at its highest point.​

y= 1.5 cos ( \(\frac{\pi }{5} x\))

Answer:

slope = \(\frac{11}{15}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-x_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (9, 4 ) and (x₂, y₂ ) = (- 6, - 7 )

m = \(\frac{-7-4}{-6-9}\) = \(\frac{-11}{-15}\) = \(\frac{11}{15}\)

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.

New height = 67ft - 52ft = 15ft

Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.

Therefore, the area of the parallelogram is 900 square feet.

~~~Harsha~~~

Answer:

ya ya ya ya ya ya ya ya

Step-by-step explanation:

The total quantity of meat is 5.5 pounds.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, quantity of ground beef = 1.68 pounds, quantity of chicken = 2.8 pounds and quantity of turkey = 1.02 pounds.

Here, total = The quantity of ground beef + The quantity of chicken + The quantity of turkey

Total = 1.68+2.8+1.02

= 5.5 pounds

Therefore, the total quantity of meat is 5.5 pounds.

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Answer:

Box A: 6 feet

Box B: 16 feet

Box C: 12 feet

Step-by-step explanation:

the fraction of the class that did not participate in any of these activities is 1 - n * (151/60).

What is the fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing a numerator(upper value) and denominator(lower value).

Let's call the number of students in the class "n".

2/3 of the class played in the band, so:

n * 2/3 participated in the band

1/6 of the class sang in the chorus, so:

n * 1/6 participated in the chorus

1/10 of the class played football, so:

n * 1/10 played football

1/60 of the class played basketball, so:

n * 1/60 played basketball

The fraction of the class that participated in one of these activities is the sum of these fractions:

n * (2/3 + 1/6 + 1/10 + 1/60) = n * (7/6 + 1/10 + 1/60)

So, the fraction of the class that did not participate in any of these activities is:

1 - n * (7/6 + 1/10 + 1/60) = 1 - (7/6 + 1/10 + 1/60) * n = 1 - n * (151/60)

Therefore, the fraction of the class that did not participate in any of these activities is 1 - n * (151/60).

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