What is the answer to this question?




A. Domain: All Real Numbers; Range: All Real Numbers

B. Domain: −10 ≤x≤10 Range: −4≤y≤8

Answer:

\(\huge\boxed{\bf\:62}\)

Step-by-step explanation:

\((9*7) + 7 - 8 = ?\)

We can solve this by using the PEMDAS concept where,

So, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).

\((9*7) + 7 - 8\\= (63) + 7 - 8\)

Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).

\((63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8\)

Now, subtract 8 from 70 .

\(70 - 8\\= \boxed{\bf\:62}\)

\(\rule{150pt}{2pt}\)

The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

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By using the formula for the distance we will see that the correct option is B:

√52

We will use the general formula to find the distance between two points (a, b) and (c, d)

it is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:

distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)

distance = √52

The correct option is B.

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By distributive property, we "distribute" m² by multiplying it to each of the terms in side the binomial which will result to

The regression equation is y = 28.0 + 0.0510x.

The best predicted temperature at a time when the cricket chirps 3000 times in 1 minute, based on the regression equation is 181°F.

What is wrong with this predicted temperature: B. It is unrealistically high. The value 3000 is far outside of the range of observed values.

In this scenario, the chirps in 1 min would be plotted on the x-axis (x-coordinate) of the scatter plot while the temperature would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

From the scatter plot (see attachment) which models the relationship between the chirps in 1 min and the temperature, a regression equation or an equation for the line of best fit is given by:

y = 28.0 + 0.0510x

When x = 3000, the temperature can be calculated as follows;

y = 28.0 + 0.0510(3000)

y = 181°F

In conclusion, a temperature of 181°F is unrealistically too high because a chirps of 3000 times in 1 min is an outlier.

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51/5 × 17/4 ×2

=51/5 ×17/2

= 867/10

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

Part A is 1/4

Part B is 3/4

Step-by-step explanation:

1(A):3(B)

brainliest?

Step-by-step explanation:

5x² - 19x - 4

use the discriminant formula

D = b² - 4ac

label the coefficients

5 = a -19 = b -4 = c

D = -19² - 4(5)(-4)

D = -281

since the discriminant is negative this eqaution ahs no real solutions

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

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= 2+9 /6

= 11/6

= 3+4 /12

= 7/12

Answer:

Social by contact I think but I don’t

Step-by-step explanation:

The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

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Given:

In quadrilateral ABCD, angle B=90° , AB=9m, BC=40m, CD=15m, DA=28m.

To find:

The area of the quadrilateral ABCD.

Solution:

In quadrilateral ABCD, draw a diagonal AC.

Using Pythagoras theorem in triangle ABC, we get

\(AC^2=AB^2+BC^2\)

\(AC^2=9^2+40^2\)

\(AC^2=81+1600\)

\(AC^2=1681\)

Taking square root on both sides, we get

\(AC=\sqrt{1681}\)

\(AC=41\)

Area of the triangle ABC is:

\(A_1=\dfrac{1}{2}\times base\times height\)

\(A_1=\dfrac{1}{2}\times BC\times AB\)

\(A_1=\dfrac{1}{2}\times 40\times 9\)

\(A_1=180\)

So, the area of the triangle ABC is 180 square m.

According to the Heron's formula, the area of a triangle is

\(Area=\sqrt{s(s-a)(s-b)(s-c)}\)

where,

\(s=\dfrac{a+b+c}{2}\)

In triangle ACD,

\(s=\dfrac{28+15+41}{2}\)

\(s=\dfrac{84}{2}\)

\(s=42\)

Using Heron's formula, the area of the triangle ACD, we get

\(A_2=\sqrt{42(42-28)(42-15)(42-41)}\)

\(A_2=\sqrt{42(14)(27)(1)}\)

\(A_2=\sqrt{15876}\)

\(A_2=126\)

Now, the area of the quadrilateral is the sum of area of the triangle ABC and triangle ACD.

\(A=A_1+A_2\)

\(A=180+126\)

\(A=306\)

Therefore, the area of the quadrilateral ABCD is 306 square meter.

Answer:

the expression is 21+18d

Step-by-step explanation:

Answer:

The answer is t(2844 + 1491) or t(4335)

Step-by-step explanation:

18 x 150 = 2700

18 x 8 = 144

2700 + 144 = $2844

21 x 65 = 1365

21 x 6 = 126

126 + 1365 = 1491

t = ? <--- t stays the same

1491 + 2844 = 4335

t(4225)

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

the answer the bottom right

it is the right answer because the total number of days is 16 days,

Answer:

m=40

Step-by-step explanation:

So her end goal is $140 dollars. If she already raised $100, then we have to find the difference. The operation to find difference is subtractions so you do 140-100=40. She needs 40 more dollars.

Answer:

40$

Step-by-step explanation:

100 +x=140

x=140 - 100

x=40 $

Answer:

2/15

Step-by-step explanation:

Answer: 150°

Step-by-step explanation:

At any intersection between two straight lines, you will end up with four pairs of supplementary angles.  Thus, any angle that is opposite to another, will have the same value.  This is called the Vertical Angle Theorem.  As such, x, which is vertical to 150, is 150.

Answer:

They bought 6 vanilla wafers and 21 chocolate, they add up to 27.

x = amount of vanilla wafers

y = amount of chocolate wafers.

4x+y = 45

x+y= 27

Step-by-step explanation:

x = amount of vanilla wafers

y = amount of chocolate wafers

Vanilla wafers = 4$ each

Chocolate wafers = 1$ each.

So, 4x+y = 45 and x+y= 27 because they spent 47$ on 27 packs.

With both equations we can substitute.

1. Change one equation so one variable is on one side

x+y = 27 to y = 27-x

2. Substitute the variable from the other equation.

4x+y = 45 to 4x+27-x = 45

3. Solve the equation for x.

4x+27-x = 45

3x+27 = 45

3x = 18

x = 6 (amount of vanilla wafers)

4. substitute with equation.

y = 27-x to y = 27-6

5. Solve the equation for y.

y = 27-6

y = 21 (amount of chocolate wafers)

Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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Answer:I say that would be 94

Step-by-step explanation:

because if you add all up  it equals 94

According to the information, we can infer that the area of this polygon is 34 units².

To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.

Rectangle 1

6 * 3 = 18

Rectangle 2

2*4=8

Triangle 1

2 * 4 / 2 = 4

Triangle 2

2 * 4 / 2 = 4

Total Area

18 + 8 + 4 + 4 = 34

Based on the above, we can infer that the total area of the polygon is 34 ² units.

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Answer:

x=25

Step-by-step explanation:

4x+50=150

»4x=159-50

»100÷4

»x=25

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Statement           Reason

We are given that M is the midpoint of CD and that MD = 3. To prove that CM = 3, we need to show that CM is equal to the difference between CD and MD, and that CD is equal to twice MD because M is the midpoint of CD.

Using the segment addition postulate, we can express CM as CD - MD. From the definition of midpoint, we know that CD is twice MD, so we can substitute 2MD for CD in the expression for CM.

Simplifying the expression for CD, we get CD = 6. Substituting CD = 6 and MD = 3 into the expression for CM, we get CM = 6 - 3 = 3. Therefore, we have proven that CM is equal to 3.

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The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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