What is the square root of 85

Comparing the z-scores, we can see that Sean's SAT score is slightly higher relative to the mean and standard deviation of the SAT population than his ACT score is relative to the mean and standard deviation of the ACT population.

To find the z-score for Sean's SAT score, we use the formula:

z = (x - μ) / σ

where x is Sean's SAT score, μ is the population mean (1500), and σ is the population standard deviation (250). Substituting the values, we get:

z = (1700 - 1500) / 250 = 0.8

Therefore, Sean's z-score on the SAT is 0.8.

To find the z-score for Sean's ACT score, we use the formula:

z = (x - μ) / σ

where x is Sean's ACT score, μ is the population mean (20.4), and σ is the population standard deviation (4.8). Substituting the values, we get:

z = (24 - 20.4) / 4.8 = 0.75

Therefore, Sean's z-score on the ACT is 0.75.

Comparing the z-scores, we can see that Sean's SAT score is slightly higher relative to the mean and standard deviation of the SAT population than his ACT score is relative to the mean and standard deviation of the ACT population.

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Answer:

x=8 but with the less than equal to sign

Step-by-step explanation:

you would add 6 to the -6 then add it to the 58. The 6 cancel so then add the 58 and the 6 when you do that you get 64 so now you are left with 8x with same sign and 64 now you would divide both side by 8 and you should get x less than or equal to 8

Answer: 8x -6 < 58

Step-by-step explanation:

8x -6 = -48 and -48 is less then 58 so it’s less than 58!

Answer:

there is ia $30,000 range in which you are eligible and $14,000 and $46,000 thousand dollars are not eligible

The range of this scenario interpret a salary that would be eligible for the tax programs,

45000 > n > 15000.

A salary that would not be eligible,

n ≤ 15000 and n ≥ 45000.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

To be eligible for certain tax programs,

you can't make $15,000 or less per year nor $45,000 or more per year.

That means,

n > 15000

And n < 45000.

The range of this scenario interpret a salary that would be eligible for the tax programs,

45000 > n > 15000.

A salary that would not be eligible,

n ≤ 15000 and n ≥ 45000.

Therefore, the required values are given above.

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The secant in the diagram is \(\overline{AD}\)

Segment AD intersect the circle at two points. So it can be a secant.

We have been given that a circle of center O. We have to find the segment that is secant.

Secant : If a line which intersect the circle at two points.Then the line segment  is called  secant.

If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.

(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)

Segment OB intersect the circle at one point B only. so OB cannot be a Secant.

Segment AD intersect the circle at two points. So it can be a secant.

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After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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Answer:

D) 0.69

Step-by-step explanation:

Given :

5 × 2³ˣ = 21

Divide by 5 on each side :

Taking the cubic root :

Using logarithm values :

Answer:

D.  0.69

Step-by-step explanation:

Given equation:

\(5 \cdot 2^{3x}=21\)

Divide both sides by 5:

\(\implies \dfrac{5 \cdot 2^{3x}}{5}=\dfrac{21}{5}\)

\(\implies2^{3x}=4.2\)

\(\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:\)

\(\implies(2^3)^x=4.2\)

\(\implies8^x=4.2\)

Take natural logs of both sides:

\(\implies \ln 8^x=\ln 4.2\)

\(\textsf{Apply the log Power law} \quad \ln x^n=n\ln x :\)

\(\implies x \ln 8=\ln 4.2\)

Divide both sides by ln 8:

\(\implies \dfrac{x \ln 8}{\ln 8}=\dfrac{\ln 4.2}{\ln 8}\)

\(\implies x=\dfrac{\ln 4.2}{\ln 8}\)

\(\implies x=0.690129776...\)

\(\implies x=0.69 \: \sf (2\:dp)\)

Answer:

b. 0.08x + 20

Step-by-step explanation:

its B because the price goes up $40 every 500 KW's so

40 divided by 500 = 0.08

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the graph we have, (500, 60), (1000, 100), (1500, 140) and (2000, 180).

We know that, slope of a line is Slope=(y2-y1)/(x2-x1)

= (100-60)/500

= 40/500

= 0.08

Substitute m=0.08 and (x, y)=(500, 60) in y=mx+c, we get

60=0.08(500)+c

60=40+c

c=20

Substitute m=0.08 and c=20 in y=mx+c, we get

y=0.08x+20

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

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SOLUTION:

We are to find the equation of the line that goes through (-3,-1) and (3,3)

Answer:

x = 13

Step-by-step explanation:

2(x + 18) and (3x + 79) are a linear pair and sum to 180° , that is

2(x + 18) + 3x + 79 = 180

2x + 36 + 3x + 79 = 180

5x + 115 = 180 ( subtract 115 from both sides )

5x = 65 ( divide both sides by 5 )

x = 13

Answer:

x = 13

Step-by-step explanation:

Given angles are,

→ 3x + 79°

→ 2(x + 18)° = 2x + 36°

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of all angles in a line is 180°.

Forming the equation,

→ (3x + 79°) + (2x + 36°) = 180°

Then the value of x will be,

→ (3x + 79°) + (2x + 36°) = 180°

→ 3x + 79° + 2x + 36° = 180°

→ (3x + 2x) + (79 + 36)° = 180°

→ 5x + 115° = 180°

→ 5x = 180° - 115°

→ 5x = 65

→ x = 65/5

→ [ x = 13 ]

Hence, the value of x is 13.

Answer:

145/36

Step-by-step explanation:

(29/6) / (6/5) = 145/36

Answer:

29/6÷ 4(3/10)

145/36

Step-by-step explanation:

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

angle m∠WXY intercepts the diameter WY.

Then,

m∠WXY  =  90°

(13x - 1)°  =  90°

13x - 1  =  90

Add 1 to each side.

13x  =  91

Divide each side 13.

x  =  7

Step-by-step explanation:

HOPE THIS HELPSSS

Answer:

-129

Step-by-step explanation:

2x+5=0

x=-5/2 [By the remainder theorem]

f(-5/2)=8(-5/2)^3+4(-5/2)^2+13(-5/2)+3

=-125+25-65/2+3

=-129.

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Answer: C’(3,-4)

Step-by-step explanation: All you have to do is count how many blocks away is the point from the x axis and then count down the x axis where you stop counting and that is how you get your point.

Answer:

19.80

Step-by-step explanation:

Answer:

19.80

Step-by-step explanation:

The radius of the given circle is 2 units.

Here, we are given an equation of a circle as follows-

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

The general form of the equation of a circles is -

\((x- h)^{2}+ (y-k)^{2} = r^{2}\)

where (h, k) are the coordinates of the center of the circle and r is the radius of the circle.

Let us convert the given equation into the general form by completing the squares as follows -

\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)

\(x^{2}+ (2*4)x+ y^{2} - (2*3)y + 21 = 0\)

\(x^{2}+ (2*4)x+ 16 -16+ y^{2} - (2*3)y + 9 - 9+ 21 = 0\)

\([x^{2}+ (2*4)x+ 16] -16+ [y^{2} - (2*3)y + 9] - 9+ 21 = 0\)

\((x+4)^{2} -16+ (y - 3)^{2} - 9+ 21 = 0\)

\((x+4)^{2} + (y - 3)^{2} = 16 + 9 - 21\)

\((x+4)^{2} + (y - 3)^{2} = 4\)

\((x+4)^{2} + (y - 3)^{2} = 2^{2}\)

Thus, we have obtained the equation of the circle in the general form. From this, we can observe that the center coordinates will be (-4, 3) and the radius of the circle will be 2 units.

Therefore, the radius of the given circle is 2 units.

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Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

Applying the two-tangent theorem, the length of AN is: 21 units.

The two-tangent theorem is a geometric theorem that states that if two tangents are drawn to a circle from a point outside the circle, then the lengths of the tangent segments are equal. This theorem is often used in geometry to find the length of tangent segments and to prove the existence of tangents to circles.

More formally, the two-tangent theorem states that if P is a point outside a circle with center O, and if PA and PB are tangents to the circle from point P, then PA = PB. In other words, the lengths of the two tangent segments are equal.

From the image above, AM and AN are two tangents from the same circle. Also, AN is also tangent with 29 - 2y.

This implies that the three tangents are congruent. Therefore:

6y - 3 = 29 - 2y

6y + 2y = 29 + 3

8y = 32

y = 32/8

y = 4

AN = 6y - 3

Plug in the value of y

AN = 6(4) - 3

AN = 21 units.

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Answer:A

Step-by-step explanation:

edge 2021

The graph of the piecewise function is given by the image presented at the end of the answer.

A piece-wise function is a function that has different definitions, depending on the input of the function.

All the three definitions of the function in this problem are constant, hence the graph will be composed by horizontal lines.

The definitions are given as follows:

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Answer:

D.

Step-by-step explanation:

You are splitting the equation up. (I don't really know how to explain it sorry)

The correct steps to evaluate 5 · 58 using the distributive property following are: 5(58) = 5(50 + 8) = 5 · 50 +5 · 8 = 250 + 40 = 290.

The product of a number by addition is equal to the total of the products of that number by each of the addends, according to the distribution property of multiplication.

The correct steps to evaluate 5 · 58 using the distributive property are:

Start with the expression 5 · 58.

Use the distributive property to rewrite the expression as 5(50 + 8).

Use the distributive property again to rewrite the expression as 5 · 50 + 5 · 8.

Calculate the value of each term in the resulting expression:

5 · 50 = 250 and 5 · 8 = 40.

Add the values of the two terms to get the final result:

250 + 40 = 290.

Therefore, the correct answer is D. 5(58) = 5(50 + 8) = 5 · 50 + 5 · 8 = 250 + 40 = 290.

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\( \\ \\ \)

To find :

\( \\ \\ \)

\( \\ \\ \)

\( \\ \\ \)

Equation formed:-

\( \\ \\ \)

Total distance covered by Pravan = More distance covered by Pravan + distance covered by Brenda.

Therefore:-

\( \\ \\ \)

\( \leadsto \sf38.6 = 20.3 + x\)

Write the equation

\( \\ \\ \)

\( \leadsto \sf38.6 - 20.3 =x\)

When we transfer 20.3 to left side the positive sign (+) will change into negative sign (–)

\( \\ \\ \)

\( \leadsto \sf x = 38.6 - 20.3\)

Arrange the equation because x is always represented at left side.

\( \\ \\ \)

\( \leadsto \boxed {\pmb{\sf x = 18.3}}\star\)

After subtracting 38.6 with 20.3 we will get result as 18.3 .

\( \\ \\ \)

\( \therefore \red{ \underline{ \pmb{\frak{Distance ~ covered ~by ~Brenda~ is ~equal ~to~18.3~kilometers}}}}\)

Answer:

6

Step-by-step explanation:

42 / [15 - (3 + 5)]

42 / [15 - 8]

42 / 7

Answer: 6

According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.

To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.

According to the above, the divisions would be:

According to the above, Brad was the one who scored the most goals.

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The magnitude of the vector having the initial point P and the terminal point Q is 17.

What is magnitude ?

Simply said, "distance or amount" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an item. It is used to describe something's size or scope. Magnitude in physics often refers to a size or amount.

Given: p (- 3,2) , q (5,17)

vector  = (17-2)i + (5+3)j

= 15i + 8j

Magnitude = \(\sqrt{(15^{2}+8^{2} ) }\)

magnitude =17

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