factor the equation
7x^2-20x-3

Answer:

3

Step-by-step explanation:

It is more unusual to have a day with a high temperature of 55 F. A high temerature of 55 F in July is 2.2 std deviation below the mean and a high temperature of 55 F in January is only 1.889 std deviation above the mean.

Which month is more unusual to have a day with a high temperature?

Here z score =(X-mean)/std deviation

Therefore for temperature 55 F ; zscore for January =(55-38)/9=1.889

And for temperature 55 F ; zscore for July =(55-77)/10=-2.2

As z score reflect that 55 F is farthest from the mean of July in terms of std deviation

It is more unusual to have a day with a high temperature of 55 F. A high temperature of 55 F in July is a 2.2 std deviation below the mean, and a high temperature of 55 F in January is only a 1.889 std deviation above the mean.

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Answer:

21.............................

Answer:

21

Step-by-step explanation:

−2+8−2+17

=6−2+17

=4+17

=21

Answer:

4

Step-by-step explanation:

The slope of a line that is perpendicular is the negative inverse of the original.  The slope of the given line is -1/4.  This means that the slope of the perpendicular line will be 4.

The slope of a line perpendicular to the line; y = -1/4x -1 is:. 4

The line y = -1/4x − 1 takes the slope-intercept form of a straight line; y = mx + c.

In essence, the slope of the line y = -1/4x − 1 is;

Also, the slope of two perpendicular lines are related as follows;

The slope of the line perpendicular to line y = -1/4x − 1 is therefore;

In essence, the slope of a line perpendicular to the line; y = -1/4x -1 is:. 4.

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Answer:

s(3) = 42

Step-by-step explanation:

if t = 3 then...

s(3) = 15 (3^3)      -  Given       now all we need to do is simplify

s(3) = 15 + 27       - add like terms (15 + 27)

s(3) = 42              - the answer :D

Mark brainlesit if this helped!

Answer:

Step-by-step explanation:

The radius is 6 inches uw :)

Answer:

1

Step-by-step explanation:

(1,1) to (2,2) and (2,2) to (3,3) and so on is (1,1)

Answer:

slope is 4 and intercept on y-axis is -2.

Answer:

≈ 3.9 miles

Step-by-step explanation:

The third angle in the triangle is

180° - (53 + 78)° = 180° - 131° = 49°

Using the Sine rule in the triangle with distance from 2 being x, then

\(\frac{3}{sin49}\) = \(\frac{x}{sin78}\) ( cross- multiply )

x × sin49° = 3 × sin78° ( divide both sides by sin49° )

x = \(\frac{3sin78}{sin49}\) ≈ 3.9 ( to the nearest tenth )

Based on effect size conventions, d = 0.60 is considered a moderate effect size. It is a standardized measure that quantifies the magnitude of the difference or relationship between two groups or variables.

It provides a standardized way to compare the strength of effects across different studies or contexts. Effect size conventions vary across disciplines and research areas, but a commonly used benchmark is Cohen's d. In this convention, an effect size of d = 0.20 is considered small, d = 0.50 is considered medium or moderate, and d = 0.80 is considered large.

Therefore, with a value of d = 0.60, the effect size is considered moderate according to this convention. It indicates a meaningful and noticeable difference or relationship between the groups or variables being studied, but not as strong as a large effect size would suggest.

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Answer:

Brainleist!

Step-by-step explanation:

first obvious thing is the line is positive

it goes up 3 over 2

so its 3/2

positive = 3/2

Answer:

Raul needs sales of $924.

Step-by-step explanation:

It looks like Raul earns commission at 1/7 of his sales.  (40/280 = 1/7).

\(\frac{40}{280}=\frac{132}{x}\\ 40x = 280*132\\x=924\)

Answer:

Step-by-step explanation:

The volume is \( V=l\times w \times h\(

So

\(V=4x \cdot 5x\cdot (x^2+x+2)\\=20x^2\cdot (x^2+x+2)\\=20x^4+20x^3+40x^2.\)

Answer:

The answer is 75 degrees

Step-by-step explanation:

Supplementary angles add to 180 and 105 + Y= 180.

So, you subtract 105 from 180 and Y is 75

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

30+20w=250

w=11

Step-by-step explanation:

To do this, write this equation because 30 is what she had and 20w is the weeks. We don't know the weeks so use w. Finally, put=250

30+20w=250

To solve this, do 250-30=220

So 20w=220

Divide 220/20

W=11

Answer:

11 weeks

Step-by-step explanation:

The equation would be 20w + 30 = 250

so, we need to solve w.

20w + 30 = 250

- 30 - 30

20w = 220

___ ____

20 20

w = 11

Answer:

3/4

Step-by-step explanation:

step 1) turn 0.75 into a fraction (0.75 = 75/100)

step 2) find the greatest common factor then divide it

75/100 ÷ 25/25 = 3/4

hope this helps, mark brainliest if im right :)

Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Answer:

23x + 9

Step-by-step explanation:

Perimeter = 2*(length + width)

     = 2*( 5.5x + 10 + 6x - 5.5)

     = 2* (5.5x + 6x + 10 - 5.5)         {Combine like terms}

5.5x and 6 are like terms  & 10 and (-5.5) are like terms

        = 2* (11.5x + 4.5)

        = 2*11.5x + 2*4.5

        = 23x + 9

Answer:

we don't see the graph, so we cannot tell anything.

Answer:

B

Step-by-step explanation:

Answer:

Answer:

What is the question?! I don't understand, sry?!

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:42/48 divide both by 6 since that's the greatest common number that divides both

Answer:

6 17/18

Step-by-step explanation:

You first find the common denominater and covert the fractions

4 8/18 + 2 9/18

Then add!

Explanation:

The x furthest to the left is at 0.25, while the right-most x value is at 1.75

Subtract the values.

range = max - min = 1.75 - 0.25 = 1.50

The rate of change of the side length when the area is 8 cm² is 5 cm/sec.

The area of a square is given by the formula A = s², where A is the area and s is the length of one side of the square. We are given that the area is increasing at a rate of 80 cm²/sec. Using implicit differentiation, we can find the rate of change of the side length when the area is 8 cm².
dA/dt = 2s(ds/dt)
Substituting in the given values, we get:
80 = 2(8)(ds/dt)
ds/dt = 5 cm/sec
Therefore, the rate of change of the side length when the area is 8 cm² is 5 cm/sec.

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The student's optimal choices are (x*, c*, d*) = (2, 4, 10).

a) The indifference curves for utility levels 1 and 2 are shown below. The student's preferences for attending lectures on economics can be concluded from the fact that the indifference curves slope downwards from left to right. This means that the student is willing to give up some lectures in order to have more time for other occupations.

b) The student's MRS is given by:

MRS = -x/y

This means that the student is willing to give up one lecture for every three hours of other occupations. The intuitive explanation for this is that the student values other occupations more than lectures.

c) The student's time constraint is given by:

1.5c + d + 3x = 16

This means that the student has a total of 16 hours to divide between cycling, dancing, and lectures.

d) The student's optimal choices of cycling, dancing, and lectures can be found using the following steps:

1. Substitute the expression for y into the time constraint.

2. Solve the resulting equation for x.

3. Substitute the value of x back into the time constraint to solve for c and d.

The resulting optimal choices are (x*, c*, d*) = (2, 4, 10). This means that the student will attend 2 lectures, cycle for 4 hours, and dance for 10 hours.

1. Substituting the expression for y into the time constraint gives:

1.5c + d + 3(2) = 16

1.5c + d = 8

2. Solving the resulting equation for x gives:

x = 8 - 1.5c - d

3. Substituting the value of x back into the time constraint gives:

1.5c + d + 3(8 - 1.5c - d) = 16

0.5c + 2d = 0

c = -4d

4. Setting c equal to -4d in the expression for x gives:

x = 8 - 1.5(-4d) - d

x = 8 + 6x

5. To maximize utility, the student must choose values of c and d such that the MRS is equal to the negative of the slope of the budget constraint. The slope of the budget constraint is 3/1.5 = 2. Therefore, the MRS must be equal to -2.

6. Setting the MRS equal to -2 and solving for d gives:

-2 = -(8 + 6d) / d

d = 4

7. Substituting the value of d back into the expression for c gives:

c = -4(4) = -16

8. Substituting the values of c and d back into the expression for x gives:

x = 8 - 1.5(-16) - 4 = 2

Therefore, the student's optimal choices are (x*, c*, d*) = (2, 4, 10).

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Answer:

The point on the line \(y=4\) that is equidistant from points (0,1) and (5,6) is (2, 4).

Step-by-step explanation:

Let be \(y = 4\), \(A = (0,1)\) and \(B = (5,6)\). As we know that given function is a horizontal line, the condition of equidistance between that a point within that line and both points must be:

\(r_{A/P} = r_{B/P}\)

Where:

\(r_{A/P}\) - Distance of point A with respect to P.

\(r_{B/P}\) - Distance of point B with respect to P.

We expand this equivalence by Pythagorean Theorem:

\(\sqrt{(x_{A}-x_{P})^{2}+(y_{A}-y_{P})^{2}} = \sqrt{(x_{B}-x_{P})^{2}+(y_{B}-y_{P})^{2}}\)

\((x_{A}-x_{P})^{2} + (y_{A}-y_{P})^{2} = (x_{B}-x_{P})^{2}+(y_{B}-y_{P})^{2}\)

\(x_{A}^{2}-2\cdot x_{A}\cdot x_{P}+x_{P}^{2} + y_{A}^{2}-2\cdot y_{A}\cdot y_{P}+y_{P}^{2} = x_{B}^{2}-2\cdot x_{B}\cdot x_{P}+x_{P}^{2} + y_{B}^{2}-2\cdot y_{B}\cdot y_{P}+y_{P}^{2}\)

\(x_{A}^{2}-2\cdot x_{A}\cdot x_{P} + y_{A}^{2}-2\cdot y_{A}\cdot y_{P} = x_{B}^{2}-2\cdot x_{B}\cdot x_{P} + y_{B}^{2}-2\cdot y_{B}\cdot y_{P}\)

And we get this expression:

\(x_{A}^{2}+y_{A}^{2}-x_{B}^{2}-y_{B}^{2} - 2\cdot (x_{A}-x_{B})\cdot x_{P}-2\cdot (y_{A}-y_{B})\cdot y_{P} = 0\)

If we know that \(x_{A} = 0\), \(y_{A} = 1\), \(y_{P} = 4\), \(x_{B} = 5\) and \(y_{B} = 6\), the expression is reduced to this:

\(0^{2}+1^{2}-5^{2}-6^{2}-2\cdot (0-5)\cdot x_{P} -2\cdot (1-6)\cdot (4) =0\)

\(10\cdot x_{P}-20=0\)

The remaining component of the point within the line is:

\(x_{P} = 2\)

The point on the line \(y=4\) that is equidistant from points (0,1) and (5,6) is (2, 4).

Answer:

38.98

Step-by-step explanation:

d=c/pie

i dont know this is correct