Holly is trying to save $25,000 to put a down payment on a condominium. If she starts with $10,000 saved and saves an additional $750 each month, which equation represents how far Holly is from her goal of reaching $25,000? Let x stand for months and y stand for dollars.

Answer: 1/6.

Step-by-step explanation:

3/18 is just 1/6 because you have to divide the numerator and denominator by 3.

Answer:

1. The first paragraph can be paraphrased for a main idea.

2. Because LV is the Roman Numeral for 55 and it will be the 55th Super Bowl.

3. True

4. True

5. False

Answer:

when giving a rate you need to get a unit rate which is a fraction with a 1 on top then you would divide by the same number as the number if you have 6/6 then divide by 6

Step-by-step explanation:

Heidi is able to walk 10/3 miles in 1 hour (60 min).

It is a method for determining the value of a single unit by subtracting the value of multiple units and subtracting the value of multiple units from of the value of a single unit.

Now, for the given question;

It takes Heidi 12 minutes to walk 2/3 miles.

Applying the unitary method.

Then, for in 1 minutes Heidi will walk = 2/(3×12).

For walking in 1 hour or 60 min =  (2×60)/(3×12).

Further simplifying;

In 1 hour = 10/3 miles.

Therefore, Heidi would be be able to walk 10/3 miles in 1 hour.

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Answer:

Point Form: (- 1/4, 5/4)

Equation Form: x = - 1/4, y  = 5/4

Step-by-step explanation:

Answer:

D.

a1=7an=−3 · an−1a subscript 1 baseline equals 7 line break a subscript n baseline equals negative 3 times a subscript n minus 1 baseline

Step-by-step explanation:

Answer:

0.34134

Step-by-step explanation:

in other to solve for this question we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = standard deviation

the question tells us to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

from tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

then the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

that explains that the probability that a worker selected at random makes between $350 and $400 = 0.34134

First write the equation in slope-intercept form which is more commonly known as y = mx + b form where the m or the coefficient of the x term represents the slope of the b or the constant term represents the y-intercept.

Subtract 2x from both sides to get y = -2x - 4.

I put the x term first because that's how it is in y = mx + b form.

Now we can see that the b or the constant term is -4.

We can write this as the ordered pair (0, -4).

Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.

Answer:

There is not a slope perpendicular to the lie x = -6

Step-by-step explanation:

In this equation, you are given a line, x = -6.

This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.

Eg. If you have the line y = 2x

The reciprocal is y = 1/2x, the opposite means negative

So the slope that would intersect this line perpendicularly is y = -1/2x.

There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.

If it were an option, I would choose "no slope"

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to eliminate a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make one of the 9x's negative. To do this, multiply each term in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

Answer:

Sequence a) Pattern: (-2) -9, -11, -13, -15, -17

Sequence b) Pattern: (-5) -15, -20, -25, -30, -35

Sequence c) Pattern: (-6) -13, -19, -25, -31, -37

Hope this helps!

Hi there! Hopefully this helps!

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

A (Subtracting by 2): -9, -11, -13, -15, -17.

B(Subtracting by 5): -15, -20, 25, -30, -35

C(Subtracting by 6): -13, -19, -25, -31, -37

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)

Answer:

C - none of the above

Step-by-step explanation:

If you distribute the -3, you get -6 -21, which is not an answer choice.

Hopefully this helps - let me know if you have any questions!

The critical value  from the data for a two-tailed test with 10 independent variables and 96 observations would be ±2.306.

To determine the rejection or critical region for the given hypothesis, we need to calculate the critical value of the t-distribution. Since we are performing a test at the 0.05 level of significance, the critical value for a two-tailed test with 10 independent variables and 96 observations would be ±2.306. This means that if our calculated t-value falls outside this range, we would reject the null hypothesis and conclude that beta subscript 5 is significantly different from 0.

The t-value for beta subscript 5 can be calculated using the formula t = (b subscript 5 - 0) / (SE subscript b subscript 5), where b subscript 5 is the estimated coefficient for the fifth independent variable and SE subscript b subscript 5 is the standard error of the estimate for that coefficient. If the calculated t-value falls outside the critical region, we can reject the null hypothesis and conclude that there is a significant relationship between the fifth independent variable and the dependent variable.

In summary, to determine the rejection or critical region for the given hypothesis, we need to calculate the critical value of the t-distribution using the level of significance, number of independent variables, and number of observations. We can then use this critical value to determine if our calculated t-value falls within or outside the critical region, which will determine whether we reject or fail to reject the null hypothesis.
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Answer: D) 80 degrees

Step-by-step explanation:

Answer:

A) Sum of angles in the 14-gon = \(2160^{o}\)

B) Sum of angles in the 16-gon = \(2520^{o}\)

Step-by-step explanation:

Convex polygon is one that has the value of its internal angles less than the sum of angles in a triangle. That is each interior angle is less than \(180^{o}\).

Sum of angles in a polygon = (n - 2) x \(180^{o}\)

where n is the value of its number of sides.

So that;

A) 14-gon (which has 14 sides),

Sum of angles in the 14-gon = (14 - 2) x \(180^{o}\)

                                  = 12 x \(180^{o}\)

                                  = \(2160^{o}\)

The sum of the measure of the interior angles of the 14-gon is \(2160^{o}\).

B) 16-gon (which has 16 sides),

Sum of angles in the 16-gon = (16 - 2) x \(180^{o}\)

                                    = 14 x \(180^{o}\)

                                    = \(2520^{o}\)

The sum of the measure of the interior angles of the 16-gon is \(2520^{o}\).

The introduction of the "Metric System" was caused by the new measurement unit. The measurement is equivalent to 31 quarts.

In order to measure any quantity, the units that are available must be converted to the necessary units using the term "metric conversion."

The introduction of the "Metric System" was caused by the new measurement unit.

United States Customary Units (USCU) are the metric units used in the US (USCS).

Metric conversion is the process of changing the given units for any quantity that has to be measured into the required units.

In light of this, 7 gallon, 3 quarts

A gallon, which is equivalent to 4 quarts, 16 cups, or 8 pints, is most frequently used to measure liquid volume.

7 gallon, 3 quarts, please.

= 7×4+3

33 quarts

Consequently, the measurement is equivalent to 31 quarts.

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Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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Answer:

4:7

Step-by-step explanation:

thats the answer mate

Answer:

4 : 7

Step-by-step explanation:

28 : 49 ← divide both parts by 7

= 4 : 7 ← in simplest form

the ratio is in simplest form when no other value but 1 divides into the 2 parts of the ratio.

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

Answer:

Step-by-step explanation:

700.5

Gabe learned 4 extra words.

To find out how many extra words Gabe learned, we need to calculate the total number of words he learned and then subtract the number of words he needed.

Gabe learned 6 spelling words each week for 9 weeks, so the total number of words he learned is:

Total words learned = 6 words/week * 9 weeks = 54 words

Gabe needed to learn 50 spelling words, so the number of extra words he learned is:

Extra words = Total words learned - Number of words needed

Extra words = 54 words - 50 words = 4 words

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Answer:

7/37 are taking Chinese

Step-by-step explanation:

Total taking chinese is 7 and the total number of students all together are 37. So 7 out of 37 are taking chinese

Answer:

\(\frac{7}{37\\}\)

Step-by-step explanation:

There are 7 students choosing Chinese and 37 total students. You can simplify the equation more therefore the answer is \(\frac{7}{37}\)

The probability that a randomly selected individual with a master's in statistics will get a starting salary of at least $69,400 is 0.038.

Define Standard normal variable

The formula z = (x-mean) / standard deviation can be used to transform any point (x) from a normal distribution to the standard normal distribution (z).The value of z for each given x value indicates how far away from the mean for all x values x is.

Given,

Normally distributed with a mean μ = $58,800

standard deviation σ = $6000

Let, x = be the starting salary of individual

Calculate, the probability that a randomly selected individual with a master's in statistics will get a starting salary of at least $69,400 that mean P(x ≥ $69,400)

P(x ≥ $69,400) = 1 - P(x < 69400)

P(x ≥ $69,400) = 1 - P( (x - μ) / σ < (69400 - 58800) / 6000)

We know, Standard normal variable is Z = (x - μ) / σ,

P(x  ≥ $69,400) = 1 - P(Z < 10600/6000)

P(x  ≥ $69,400) = 1 - P(Z < 1.77)

P(x  ≥ $69,400) = 1 - 0.9616

P(x  ≥ $69,400) = 0.0384 or 0.038

Therefore, the probability that a randomly selected individual with a master's in statistics will get a starting salary of at least $69,400 is 0.038

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The equation for the given question that could be used to find the dimensions of renctangular prism is \(2w^{3}-13w^{2}+21w=910\).

What is the volume of the rectangular prism?

Volume of rectangular prism is given by the following expression:

\(V=l\times w\times h\)                   ... (1)

Here, \(V\) is the volume, \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Now, since lenght is 7 feet less than twice of the width hence, lengt is given by the following expression:

\(l=2w-7\)

The height is 3 foot less than the width hence, the expression of height is as follows:

\(h=w-3\)

Now, substitute lenght and height in the equation (1).

\(910=(2w-7) w(w-3)\\(2w-7) w(w-3)=910\\(2w-7) (w^{2}-3w)=910\\2w (w^{2}-3w)-7(w^{2}-3w)=910\\2w^{3}-6w^{2}-7w^{2}+21w=910\\2w^{3}-13w^{2}+21w=910\)

Hence, the equation for the given question that could be used to find the dimensions of renctangular prism is \(2w^{3}-13w^{2}+21w=910\).

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20 questions subtraction and addition of fractions only like this:

A recipe calls for 2/3 cup of flour and 1/4 cup of sugar. What is the total amount of flour and sugar needed in fraction?

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Answer:

4/15

Step-by-step explanation:

Answer:

Ben painted \(\frac{4}{15}\) of the room

Step-by-step explanation:

For this, you must add \(\frac{2}{5} + \frac{1}{3}\)

5 (3) = 15

In order to get 5 to 15, you multiply by 3, therefore

2(3) = 6

In order to get 3 to 15, you multiply by 5, therefore

1(5) = 5

Which means you now have,

\(\frac{6}{15} + \frac{5}{15}\)

Which is equal to

\(\frac{11}{14}\)

Now an equation can be set up

11 + X = 15

-11         -11

X = 4

Ben painted \(\frac{4}{15}\) of the room

-Hope this helps!

The number of positive integers with exactly four decimal digits that is positive integers between 1000 and 9999 is 4536.

The positive integers between 1000 and 9999 inclusive have 4 digits.

The first digit cannot be zero because otherwise, it will become a  digit integer.

So, the first digit can be filled in 9 ways.

The second digit can be filled by 9 different ways.

Because the second digit cannot be the same as that of the first digit but zero can be the second digit.

The third digit can be filled by 8 different ways.

The fourth digit can be filled in 7 different ways.

Number of four decimals digits = 9 * 9 * 8 * 7

= 81 * 8 * 7

= 81 * 56

= 4536 digits.

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well, clearly is 4 :).

now, if we take 25 to be the 100%, what is 4 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)

Answer:

33.3

Step-by-step explanation:

i´m good at math but hit thanks