Use the distributive property to simplify each expression.

-2(x - 2) + 5x

please help

Answer:

Your answer is 539.93

Step-by-step explanation:

A = pi*r²

A = pi* 13²

A = pi*169

A = 539.93

The probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

We can use the Central Limit Theorem and the standard normal distribution to calculate the probability that the sample mean is between 1300 and 1400. The Central Limit Theorem states that as the sample size increases, the distribution of the sample means will approach a normal distribution, regardless of the distribution of the population.

Since we have a sample of 80 observations, we can assume that the sample mean follows a normal distribution with a mean of 1460 (the population mean) and a standard deviation of:

Standard deviation of the sample mean

= population standard deviation ÷ [tex]\sqrt {sample size[/tex]

[tex]= 270 \div \sqrt{80} = 27[/tex]

So the standard deviation of the sample mean is 27.

We can now standardize the interval between 1300 and 1400 by subtracting the mean and dividing it by the standard deviation of the sample mean.

[tex]Z_1[/tex] = (1300 - 1460) / 27 = -2.59

[tex]Z_2[/tex] = (1400 - 1460) / 27 = -2.22

We need to find the area under the standard normal distribution curve between Z1 and Z2.

Using a standard normal table or a calculator with the standard normal distribution function, we can find the probability that a random variable from the standard normal distribution is between -2.59 and -2.22. This probability is approximately 0.0134 or 1.34%.

Therefore, the probability that the sample mean is between 1300 and 1400 is approximately 1.34%.

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On solving the provided question, we can say that - by the help of unitary method seconds will it take her to reach a depth of 79ft is = 39.5

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

scuba diver is at a depth of  = -14 ft

elevation changes  = -2 ft per second.

seconds will it take her to reach a depth of 79ft is = 39.5

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Answer:

y = 25 - 3x

Step-by-step explanation:

x = 7 - p ⇒ p = 7 - x

y = 3(7-x) + 4

y = 21 - 3x + 4

y = 25 - 3x

Answer:

1. 56/5

2. -7/5

3. 12

Step-by-step explanation:

Answer:

C. 9

Step-by-step explanation:

3 color choices of CD player x 3 choices of music = 9

Answer:

(4, 2.5)

Step-by-step explanation:

Answer:

sq rt 122

Step-by-step explanation:

if the box is 9 inches length (base) then this applies

First find the base diagonal then find the furthest top to base diagonal after.

Pythagoras theorem

Base diagonal

9^2 + 5^2 = c^2

(sqrt) of 81+25 = c^2

(sqrt) of 106 = c^2 =  10.29563 inches

= 10.3 inches.

larger diagonal

We note the height is 4inches and we add this again squaring all digits on calculator

10.29563^2 + 4^2 = c^2

(sqrt) 121.999997 = c^2

= 11.045361017187261 = 11.08 = 11.1 inches

Radical form = sq rt 122

The diagonal of the straw in radical form is √122 inches.

A rectangular prism is a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

The rectangular box is in the shape of rectangular prism.

For the given situation,

Length of the rectangular box, l = 9 inches

Breadth of the rectangular box, b = 5 inches

Width of the rectangular box, w = 4 inches

The formula to find the diagonal of the rectangular prism is

[tex]d=\sqrt{l^{2}+b^{2}+w^{2} }[/tex]

⇒ [tex]d=\sqrt{9^{2}+5^{2}+4^{2} }[/tex]

⇒ [tex]d=\sqrt{81+25+16}[/tex]

⇒ [tex]d=\sqrt{122}[/tex]

Hence we can conclude that the diagonal of the straw in radical form is √122 inches.

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Answer:

Angles 6, 4, and 2 are congruent to angle 8.

Step-by-step explanation:

By the Opposite Angles Theorem, angle 6 is congruent to angle 8.

By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.

By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.

Answer:

it's B

Step-by-step explanation:

becaus the exact form of m is the square root of 14

pls mark as brainliest lol

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

m is squared, so it would have to be the square root.

Answer:

first Q . mirror

Second Q. sight and touch

Answer:    Smoothest surface: mirror

senses being used: sight and touch

hope this helps!

Step-by-step explanation:

In order to get the value of n, which is what we are trying to find, it is important to know how to isolate the variable.

When something is added to n, you subtract to isolate n. Going with this logic, you would multiply by a number if you wanted to isolate n with a fraction.

[tex]\frac{n}{5}+4=-4[/tex]

The first step would be to get rid of the 4 on the left side so we can work on the variable. We can do this by subtracting both sides by 4, so the left side cancels out to 0.

[tex]\frac{n}{5}+4-4=-4-4[/tex]

[tex]\frac{n}{5} =-8[/tex]

Next, we can multiply both sides by 5, so we can isolate the variable, because it is being divided by 5.

[tex]\frac{n}{5} *5=-8*5[/tex]

n=-40

Answer:

Below

Step-by-step explanation:

125 kg   *  2.204 pound/kg = 275.5 pounds

Answer:

D. 275.5 pounds

Step-by-step explanation:

1 kg = 2.204 lbs

=> 125 kg = (125 kg)(2.204 lbs/1 kg)  = 275.5 lbs

Answer:

Step-by-step explanation:

This is a linear function with y-intercept (0, 8) and slope 2.5.

Answer:

the ?=4

Step-by-step explanation:

i got it on desmos basically the vertex is 4 high so you would need to add 4 to get it up there

Answer:

20, yes

Step-by-step explanation:

11+9=20

If he is charged $9 for each guest then it will make a huge impact to the number of guests.

The mass of the second object will be 3.5 kg.

In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has both a magnitude and a direction, making it a vector quantity.

According to the collision theory, for a chemical reaction to take place, the reacting particles must come into contact with one another. The frequency of collisions affects the reaction's rate. According to the idea, responding particles frequently encounter without reacting.

The final momentum will be calculated by the expression given below,

(m₁ + m₂ ) V=250

( 1.5 + m₂ 0 x 50 = 250

1.5 + m₂ = 5

m₂ = 5 - 1.5

m₂ = 3.5 kg

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To create a frequency polygon calculate the midpoint,  locate the midpoints and connect them with lines.

A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.

So, we must determine the midpoint or average of the range for each category.

0 < t < 10 = 5

10 < t < 20 = 15

20 < t < 30 = 25

30 < t < 40 = 35

2. Add a point where the data of the axis Y and X form an intersection.

3. Connect the points.

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Answer:

The equation you would use to solve this problem is:

A = P * e^(rt)

Where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of years.

We can rearrange the equation to solve for t:

t = (ln(A/P)) / r

Plugging in the values we know:

t = (ln(3*25000/25000)) / (0.0475)

t = (ln(3)) / (0.0475)

t = 4.93 years

So it will take about 4.9 years for John's investment to triple, to the nearest tenth.

Step-by-step explanation:

-4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.

The physical concept of temperature indicates in numerical form how hot or cold something is.

A thermometer is used to determine temperature.

Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.

The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

The lowest point on the thermodynamic temperature scale is absolute zero, or zero kelvin, or 273.15 °C. It can be very closely approximated experimentally but never actually reached, as stated in the third rule of thermodynamics.

Hence, -4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.

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Answer:

D

Step-by-step explanation:

Answer:

x = 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24}[/tex] = [tex]\sqrt{(2)(2)(2)(3)}[/tex]  We can pull out a pair of 2's

2[tex]\sqrt{(2)(3)\\}[/tex] = 2[tex]\sqrt{6}[/tex]

Answer:119

Step-by-step explanation:

because it's on oppisite sides on the outside

Answer:

------------------------------

The two given two angles are alternate exterior angles and therefore  congruent according to alternate exterior angles theorem:

Definition:

No, three 4 5 triangles are not always right triangles.

A right triangle is a triangle in which one of the angles is a right angle (90°). Therefore, in order to be a right triangle, the following criteria must be met: a^2 + b^2 = c^2, where c is the longest side and a, b are the other two sides. In a 3 4 5 triangle, the longest side is 5, so a^2 + b^2 = c^2 becomes 3^2 + 4^2 = 5^2. Using simple algebra, this equation becomes 9 + 16 = 25, which is true. Therefore, a 3 4 5 triangle is a right triangle. However, if one of the sides is different, for example a 3 4 6 triangle, the equation becomes 9 + 16 = 36, which is not true. Therefore, a 3 4 6 triangle is not a right triangle. To summarize,3 4 5 triangles are right triangles, but three 4 6 triangles are not.

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i get 11/2 is this wright answer??

Answer:

rotation, dilation

Step-by-step explanation:

On the question it shows how it is supposed to be ordered, triangle LMN is similar to triangle PQR which means LM and PQ are similar sides and MN and QR are similar, etc.

it is rotation because the P is facing the left side while L is facing upward.

it is dilation because triangle PQR shrunk into a smaller triangle.

Answer:

no it doesn’t.

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Since it is a triangle, it should add up to be a total of 180 degrees.

I took 64 + 68 = 132

Since there's a missing angle, you can take 180 - 132 = 48

All the angles should add up to 180 so 64 + 68 + 48 = 180

Your welcome !!

The equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is that the line passes through the points (- 6, 1) and (10, 0).

The slope of the line will be -

{m} = (0 - 1)/(10 + 6) = -1/16

{m} = -1/16

We can write the equation as -

y = - (1/16)x + c

For the point (10, 0), we can write -

0 = - (1/16) x 10 + c

0 = - (10/16) + c

c = 10/16

c = 5/8

So, we can write the equation as -

y = - (1/16)x + (5/8)

The equation of a line that is parallel to the above line and passes through point (-7, 2) is as follows -

y = - (1/16)x + c

2 = - (1/16) x - 7 + c

c = 2 - 7/16

c = 25/16

y = - (1/16)x + (25/16)

Therefore, the equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).

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the answer would be -144

you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144