3 digit number that is divisible by 3 and 5

Answer: 2/3

Step-by-step explanation:

Answer:

the length is 11

the width is 5

Step-by-step explanation:

5 times is 15 and 11 is 4 less than 15 :)

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

Answer: 1. 7a 2. 5r 3. 8y+4 4. 12m-7 5. 7u+5 6. 8q+6 7. 3w+5x 8. 4j + 4k 9. 5d+6

Step-by-step explanation: Add the coefficients of the terms with same variables. ex. 5a+4a+7... 5a and 4a have same variable which is a so add the 5 and 4 and you get 9a and the 7 doesn't match so leave it out and you get 9a + 7

Answer:

1) 7a

2) 5r

3) 8y +4

4) 12m-7

5) 7u+5

6) 8q+6

7) 3w+5x

8) 4j +4k

9) 5d+6

Step-by-step explanation:

you just add or subtract the number with the same letter after it (if there is no letter just leave it as is, unless there are two or more numbers with no letter after, then add or subtract as normal)

Answer: d=18.2

Step-by-step explanation: d=2r=2·9.1=18.2

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Step-by-step explanation:

\(10x - 15x + 5 = - 45 + 20 \\ or \: 10x - 15x = - 45 + 20 - 5 \\ or \: - 5x = - 45 + 15 \\ or \: - 5x = - 30 \\ or \: \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} \\ or \: x = 6 \\ \\ therefore \: the \: value \: of \: x \: is \: 6.\)

Thank you ☺️

Answer:

3 hours

Step-by-step explanation:

The equation will be

10b+25t ≤ 130 (b = hours of babysitting, t = hours of tutoring)

Plug in the 4 hours of tutoring

10b+(25 times 4) ≤ 130

= 10b+100 ≤ 130

10 times 3 = 30, which answers the question

Since 100 + 30 = 130

Therefore, the answer to the minimum amount of hours Robert has to tutor

to make a minimum of $130 is . . .

3

formula : area of square = Length²

Length = √area of square

\(\rightarrow \sf Length =\sqrt{ 25y^2 - 20y + 4}\)

\(\rightarrow \sf Length =\sqrt{ 25y^2 - 10y -10y+ 4}\)

\(\rightarrow \sf Length =\sqrt{ 5y(5y - 2) -2(5y-2)}\)

\(\rightarrow \sf Length =\sqrt{ (5y-2)(5y-2)}\)

\(\rightarrow \sf Length =\sqrt{ (5y-2)^2}\)

\(\rightarrow \sf Length =5y-2\)

Answer:

3-5(-3)

3 minus -15

-12

Step-by-step explanation:

Answer:

Improper fraction: 83/20

Decimal: 4.15

Mixed Number: 4 3/20

Step-by-step explanation:

We cannot deduce anything about the p-value for age in the regression summary from just the 90% and 95%. cis for the parameter associated with age.

The 90% and 95% cis for the parameter associated with age tell us the range of values that the parameter could take, given the data. This range does not tell us anything about how likely the parameter is to take any of these values.

To determine how likely it is to take any of these values, we need to look at the p-value for age in the regression summary. The p-value tells us the probability that the parameter associated with age is different from zero.

It is the level of significance and is used to determine if the parameter is statistically significant. It is the only way to determine the likelihood of the parameter taking any of the values in its 90% and 95% cis.

Therefore, we cannot deduce anything about the p-value for age in the regression summary from just the 90% and 95% cis for the parameter associated with age.

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If the initial velocity is 75 feet per second, it will take approximately 5.125 seconds for the ball to hit the ground.

The given formula h= -16t²+vt+s represents the height (h) of an object thrown vertically in the air at time (t), with initial velocity (v) and initial height (s). In this case, we are given that the initial height of the softball is 4 feet and the initial velocity is 75 feet per second.

We want to find out how long it will take for the ball to hit the ground, which means we want to find the time (t) when the height (h) is 0.

Substituting the given values into the formula, we get:

0 = -16t² + 75t + 4

This is a quadratic equation in standard form, which we can solve using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Where a=-16, b=75, and c=4. Substituting these values into the formula, we get:

t = (-75 ± √(75² - 4(-16)(4))) / 2(-16)

t = (-75 ± √(5625 + 256)) / (-32)

t = (-75 ± √(5881)) / (-32)

We can simplify the expression under the square root as follows:

√(5881) = √(49121) = 711 = 77

So we have:

t = (-75 ± 77) / (-32)

Simplifying further, we get two possible solutions:

t = 0.5 seconds or t = 5.125 seconds

Since the softball player hits the ball when it is 4 feet above the ground, we can disregard the solution t=0.5 seconds (which corresponds to when the ball is at its maximum height) and conclude that it will take approximately 5.125 seconds for the ball to hit the ground.

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Mean and IQR (Interquartile Range) give the best tools for measuring the center and spread. So, the correct option is C.

The mean is a measure of central tendency that is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is sensitive to extreme values, also known as outliers, and can be affected by skewed data.

The IQR is a measure of spread that gives the range of the middle 50% of the data. It is calculated by finding the difference between the 75th percentile (Q3) and the 25th percentile (Q1) of the data. The IQR is less sensitive to outliers than the standard deviation, which is a measure of spread that gives the average distance of the data points from the mean.

The median is a measure of central tendency that is the middle value in a dataset when the values are arranged in order. It is less sensitive to extreme values than the mean and is useful when the data is skewed.

While mean and standard deviation are commonly used measures of center and spread, they may not be appropriate for all datasets, especially those that are skewed or contain outliers. Therefore, mean and IQR are often preferred for summarizing the center and spread of such data.

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Answer:

7 is the answer to that jgf6bf6 reddish Ve

Answer: We can solve this problem by counting the total number of ways to select three members and then subtracting the number of ways to select three members without any officers.

The total number of ways to select three members from a group of 13 is given by the combination formula:

C(13,3) = 286

To count the number of ways to select three members without any officers, we need to choose three members from the 8 non-officers. This can be done in C(8,3) = 56 ways.

Therefore, the number of ways to select three members with at least one officer is:

C(13,3) - C(8,3) = 286 - 56 = 230

There are 230 ways to select three members for the search and rescue mission such that at least one officer is included.

Step-by-step explanation:

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

The mean of the data set is 82.77

If we want to find the mean, we would have to put it at the back of our minds that the mean is the same as the average. As such, we would have to take the sum of all the values that have been listed in the data set and divide by the total number of the data.

The first step is to arrange the data set orderly from smallest to largest;

70, 71,79, 82,88,85,87,91,92

We have nine values in the data set thus the mean is;

70+71+79+82+88+85+87+91+92/9= 745/9= 82.77

Hence the mean of the data set is 82.77

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Answer:

Angle KLN = 125 degrees

Angle NLM = 55 degrees

Step-by-step explanation:

Angle KLM is a straight angle; it must be 180 degrees. We can write the equation (10x-5)+(4x+3)=180, based on this statement. Because the order of operation does not apply to addition and subtract, we can remove the paratheses and combine like-terms. 10x+4x-5+3=180 can be simplified to 14x-2=180. Upon solving this equation, we get x=13. We now must plug 13 in for x in both of the original angle measurements. When x=13 in (10x-5), we get 125. When x=13 in (4x+3), we get 55. :)

Answer:

m < KLN = 125°

m < NLM = 55°

Step-by-step explanation:

Given that < KLM is a straight angle:

Then it means that the sum of the measures of < KLN and < NLM = 180°.

Thus, we can setup the following equation to find their measures:

m < KLN + m < NLM = 180°

where m < KLN = (10x - 5)°

m < NLM = (4x + 3)°

Substitute these values into the formula:

m < KLN + m < NLM = 180°

10x - 5 + 4x + 3 = 180°

Combine like terms:

14x - 2 = 180°

Add 2 on both sides of the equation:

14x - 2 + 2 = 180° + 2

14x = 182

Divide both sides by 14 to solve for x:

\(\frac{14x}{14} = \frac{182}{14}\)

x = 13°

We can substitute x = 13° into the given values of each angle to determine their actual measures:

m < KLN = [10(13) - 5]° = 130 - 5 = 125°

m < NLM = [4(13) + 3]° = 52 + 3 = 55°

Double-check to see whether the measures of these two angles add up to 180°:

m < KLN + m < NLM = 180°

125° + 55° = 180°

180° = 180° (True statement). Therefore, our derived answers were correct.

Answer:

744

Step-by-step explanation:

420

-16

____

404

+340=744

Answer:

14 °F

Step-by-step explanation:

To answer this problem, we will use the known celsius to fahrenheit conversion formula.

[Celsius * (9/5)] + 32 = Fahrenheit

Now we just plug in the value of celsius:

[-10 * (9/5)] + 32 = Fahrenheit

[ -2 * 9 ] + 32 = Fahrenheit

[ -18 ] + 32 = Fahrenheit

14 = Fahrenheit

So you should right 14(°F) on the label.

Cheers.

don't mind the dirty white board lol

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

The parameters of the expression are given as

25w+55

A multiplicative factor in some terms of a polynomial, a series, or an expression is referred to as a coefficient. Although a coefficient is often a number, it may really be any expression. It is possible to refer to the coefficients themselves as parameters in situations when they themselves are variables.

A sign that may stand in for any other item in mathematics is known as a variable. To be more specific, a variable may stand in for a numeric value, a vector, a matrix, a function, the argument of a function, a set, or an individual component of a set.

Generally, the equation for expression is  mathematically given as

25w+55

Therefore

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The population of the town X in 2020 is given by the equation

A = 2,88,654

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the population of the town X in 2020 be A

Let the percentage of increase be represented as r

Now , the equation will be

The initial population of Town X be A = 220,000

The increased population in 10 years be B = 252,000

So , the percentage change = [ ( B - A ) / A ] x 100

Substituting the values in the equation , we get

The percentage change r = [ ( 252,000 - 220,000 ) / 220,000 ] x 100

On simplifying the equation , we get

The percentage change r = [ 32,000/220,000 ] x 100

The percentage change r = 0.1454545 x 100

The percentage change r = 14.545 %

Now , the population of the town X in 2020 = ( 14.545 + 100 )% x increased population in 10 years

On simplifying the equation , we get

The population of the town X in 2020 A = ( 114.545 )% x 252,000

The population of the town X in 2020 A = 2,88,654.544

Hence , The population of the town X in 2020 A = 2,88,654

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