I NEED HELP ASAP GIVE U 50 POINTS​

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Only ll is sufficient to conclude that x = 2 is the location of the absolute maximum of f on the interval [-5, 5].

To conclude that x = 2 is the location of the absolute maximum of f on the interval [-5, 5], one of the following statements must be individually sufficient:

l. f'(2) = 0: If the derivative of f at x = 2 is equal to 0, then x = 2 is a critical point of f. However, this alone is not sufficient to conclude that x = 2 is the location of the absolute maximum, as it could also be a local minimum or an inflection point.

ll. x = 2 is the only critical point of f on the interval [-5, 5], and f"(2) < 0: If x = 2 is the only critical point of f on the interval [-5, 5] and the second derivative of f at x = 2 is negative, then x = 2 is the location of a local maximum. In this case, we can conclude that x = 2 is the location of the absolute maximum of f on the interval [-5, 5], since there are no other points on the interval where f could potentially have a larger value.

lll. x = 2 is the only critical point of f on the interval [-5, 5], and f(-5) < f(2) < f(5): If x = 2 is the only critical point of f on the interval [-5, 5] and f(-5) < f(2) < f(5), then x = 2 is the location of the absolute maximum of f on the interval [-5, 5], since f(2) is the largest value of f on the interval.

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The equation that can be used to find the length of the side of the original square is 4(x+5) = 60. Option A. is the answer

Given that:

When the length of a side of a square is increased by 5, the perimeter of the new square is 60.

Let x represent the length of the side of the original square

when x is increased by 5, you have (x+5)

Perimeter (P) = 4 × length of the side

Thus, 4(x+5) = 60

Therefore,  the equation to find the length of the side is  4(x+5) = 60

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Answer:

0

Step-by-step explanation:

Use the slope formula: m = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

m = \(\frac{-3+3}{-2-5}=\frac{0}{-7} =0\)

The slope of the line is 0.

Answer:

A) z = -0.05

B) z = 0.41

C) Amy

Step-by-step explanation:

Remember that the formula we use to calculate a z-score is:

Let's calculate the z-score for Catherine's test grade:

Now, let's calculate the z-score for Amy's test grade:

Since the z-score for Amy's test grade is greater than Catherine's, we can conclude that Amy perfomed better.

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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Answer: −2x+y=−11

(4,-3) = −2x+y=−11.

Answer: −2x+y=−11.

The number of Jim's model car is 48

From the question, we have the following parameters that can be used in our computation:

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

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The Area of the shaded portion will be 54.5 \(cm^{2}\)

In the figure which is provided let's name the triangle  ∠ABC, therefore AB= the diameter of the circle

     And, AC=6 cm and BC=8 cm

To calculate the area of the shaded portion we know that ∠ACB= 90°

And then applying Pythagoras' Theorem, we get -

  AB=\(\sqrt{(AC)^{2}+ \sqrt{(BC}) ^{2} }\) = \(\sqrt{(6)^{2} }+ \sqrt{(8)^{2} }\) = 10 cm

  Diameter AB= 10cm

   The radius of the circle = \(d\\ 2\) = 5 cm

Area of Circle= π\(r^{2}\) = 3.14× \(5^{2}\) = 78.5 \(cm^{2}\)

Area of triangle ABCD  =\(\frac{1}{2}\)× AB× BC

                  =\(\frac{1}{2}\)× 6×8 = 24 \(cm^{2}\)

Now,

The Area of the shaded region = Area of the circle - Area of the triangle

                                                     =  (78.5 - 24) \(cm^{2}\)

                                                      = 54.5 \(cm^{2}\)

The Right question is:   AB is the diameter of the circle, AC =6 cm and BC =8 cm. Find the area of the shaded region (Use π=3.14).

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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:

1/2 is 1 example

Step-by-step explanation:

what

A fraction that is less than 5/8 is 4/8

The fraction is given as:

Fraction = 5/8

A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8

Take for instance, the numerator can be

1 to 4

So, we have;

Smaller fraction = 4/8

Hence, a fraction that is less than 5/8 is 4/8

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Answer: probably 4 cards each person

Step-by-step explanation:

Answer:

(0, 3)

Step-by-step explanation:

y = 3 is the horizontal tangent to y = x^2+3, and passes the parobala at (0, 3)

Since there are 12 face cards (4 J, 4 Q, 4K) those represent 12/52.  The nonface cards excluding aces (4 twos through 4 tens) represent 36/52.

The expected value is then:

(12/52)($3)+(36/52)(-$2)= -$36/52 or -$0.69 but rounding to one decimal would be -$0.70

Step-by-step explanation:

\(1 - (\frac{1}{4} + \frac{2}{3}) \\ = 1 - ( \frac{3 + 8}{12}) \\ = 1 - ( \frac{11}{12} ) \\ = \frac{1}{12} \)

Answer:

\(1 \frac{7}{12}\; \sf pounds\)

Step-by-step explanation:

To find the amount of flour Grandma has left over, subtract the amount she used to make rolls from the original amount.

Given calculation:

\(3 \frac{1}{4}-1 \frac{2}{3}\)

Convert the mixed numbers into improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(\implies \dfrac{3 \times 4+1}{4}-\dfrac{1 \times 3+2}{3}\)

\(\implies \dfrac{13}{4}-\dfrac{5}{3}\)

Change both fractions into equivalent fractions so both fractions have the same denominator:

\(\implies \dfrac{13 \times 3}{4\times 3}-\dfrac{5 \times 4}{3 \times 4}\)

\(\implies \dfrac{39}{12}-\dfrac{20}{12}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:\)

\(\implies \dfrac{39}{12}-\dfrac{20}{12}=\dfrac{39-20}{12}=\dfrac{19}{12}\)

Divide the numerator by the denominator:

\(\implies 19 \div 12 = 1 \; \sf remainder \; 7\)

The solution as a mixed number is the whole number and the remainder divided by the denominator:

\(\implies 1 \frac{7}{12}\)

Answer:

\(\cos 60^{\circ}+ \sqrt{3} \cos 30^{\circ}+ \sin 30^{\circ}=\dfrac{5}{2}\)

\(\tan 30^{\circ}+\cot30^{\circ}+\sin30^{\circ}=\dfrac{3+8\sqrt{3}}{6}\)

Step-by-step explanation:

To find the value of the given trigonometric expression, we can use the unit circle to first find the values of cos 60°, cos 30° and sin 30°.

In the unit circle, the cosine of the angle is the x-coordinate of a point on the circle, and the sine of the angle is the y-coordinate of that point.

Therefore, reading from the unit circle (attached):

\(\boxed{\begin{minipage}{2.3 cm}$\cos 60^{\circ}=\dfrac{1}{2}$\\\\\\$\cos 30^{\circ}=\dfrac{\sqrt{3}}{2}$\\\\\\$\sin 30^{\circ}=\dfrac{1}{2}$\\\end{minipage}}\)

Substitute these values into the expression and solve:

\(\begin{aligned}\cos 60^{\circ}+ \sqrt{3} \cos 30^{\circ}+ \sin 30^{\circ}&=\dfrac{1}{2}+\sqrt{3} \cdot \dfrac{\sqrt{3}}{2}+\dfrac{1}{2}\\\\&=\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{1}{2}\\\\&=\dfrac{1+3+1}{2}\\\\&=\dfrac{5}{2}\end{aligned}\)

\(\hrulefill\)

Use the following trigonometric identities to rewrite tan 30° and cot 30° in terms of sine and cosine.

\(\boxed{\begin{minipage}{4 cm}\underline{Trigonometric identities}\\\\$\tan x=\dfrac{\sin x}{\cos x}$\\\\\\$\cot x=\dfrac{\cos x}{\sin x}$\\\\\end{minipage}}\)

\(\tan 30^{\circ}+\cot30^{\circ}+\sin30^{\circ}=\dfrac{\sin30^{\circ}}{\cos30^{\circ}}+\dfrac{\cos30^{\circ}}{\sin30^{\circ}}+\sin30^{\circ}\)

Now use the unit circle to find the values of sin 30° and cos 30°:

\(\boxed{\begin{minipage}{2.3 cm}$\sin 30^{\circ}=\dfrac{1}{2}$\\\\\\$\cos 30^{\circ}=\dfrac{\sqrt{3}}{2}$\\\end{minipage}}\)

Substitute these values into the expression and solve:

\(\begin{aligned}\tan 30^{\circ}+\cot30^{\circ}+\sin30^{\circ}&=\dfrac{\sin30^{\circ}}{\cos30^{\circ}}+\dfrac{\cos30^{\circ}}{\sin30^{\circ}}+\sin30^{\circ}\\\\&=\dfrac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}+\dfrac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}+\dfrac{1}{2}\\\\&=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt{3}}+\dfrac{\sqrt{3}}{2}\cdot\dfrac{2}{1}+\dfrac{1}{2}\\\\&=\dfrac{1}{\sqrt{3}}+\dfrac{\sqrt{3}}{1}+\dfrac{1}{2}\\\\&=\dfrac{1 \cdot \sqrt{3}}{\sqrt{3}\cdot \sqrt{3}}+\dfrac{\sqrt{3}}{1}+\dfrac{1}{2}\\\\\end{aligned}\)

                                        \(\begin{aligned}&=\dfrac{\sqrt{3}}{3}+\dfrac{\sqrt{3}}{1}+\dfrac{1}{2}\\\\&=\dfrac{\sqrt{3}\cdot 2}{3\cdot 2}+\dfrac{\sqrt{3}\cdot 6}{1\cdot 6}+\dfrac{1\cdot 3}{2\cdot 3}\\\\&=\dfrac{2\sqrt{3}}{6}+\dfrac{6\sqrt{3}}{6}+\dfrac{3}{6}\\\\&=\dfrac{2\sqrt{3}+6\sqrt{3}+3}{6}\\\\&=\dfrac{8\sqrt{3}+3}{6}\\\\&=\dfrac{3+8\sqrt{3}}{6}\end{aligned}\)

Answer:

After finding like terms and solving, we get \(\mathbf{3x^2+3x+16}\)

Step-by-step explanation:

We need to find like terms and simplify the expression \(4- 2x + x^2 + 5x + 12 + 2x^2\)

Like terms: The terms who have same variable and exponent are called like terms.

So, Combining like terms and solving:

\(4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16\)

So, after finding like terms and solving, we get \(\mathbf{3x^2+3x+16}\)

Note: In the question given we have - and + sign with the term 5x i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2

I have solved using +5x, but if the term is -5x then the solution will be:

\(4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16\)

So, the answer will be: \(\mathbf{3x^2-7x+16}\)

The first graph shows a function whose inverse is also a function. Therefore, the correct option is option A.

The graphical representation of the inverse of a function shows the function and the inverse of the function, which are both plotted over the line y = x. This graph's line traverses the origin as well as has a slope value of 1. You can write it down as y = f -1 (x), which is the same as x = f (y). The first graph shows a function whose inverse is also a function.

Therefore, the correct option is option A.

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Answer:

Step-by-step explanation:

answer (A)  took the test

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

5

Step-by-step explanation:

3(2x+1)=7x-2

6x + 3 = 7x - 2

6x - 7x = -2 - 3

-x = -5 /(-1)

x = 5

Answer:

5

Step-by-step explanation:

3 ( 2x + 1 ) = 7x - 2

Step 1 : Remove the parentheses

6x + 3 = 7x - 2

Step 2 : Move the variable to the left-hand side and move extra number the right-hand side

6x + 3 = 7x - 2

-7x  -3   -7x  -3

6x - 7x = -2 - 3

Step 3 : Combine like terms

-x = -5

Step 4 : Change the sign to make x positive

x = 5

SOLUTION : x = 5

Hope this helps :)

Answer:

\(34 + ( - 21) + 15 = 28\)

Answer:

First off 78+92+85=255 so yeah its not 300. Plus 300 is no where near 100, but yes three 100s is 300.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Brian didn't round up to the nearest hundreds. so there's no chance for him to get his result as 300. If he felt that they're close to 100, he should have rounded up

The above is an analysis of data related to income and expenditure. See the working below as well as the attached information.

R Calculation

Note that:

X: X Values

Y: Y Values

Mx: Mean of X Values

My: Mean of Y Values

X - Mx & Y - My: Deviation scores

(X - Mx)2 & (Y - My)2: Deviation Squared

(X - Mx)(Y - My): Product of Deviation Scores

X Values

∑ = 273195

Mean = 6829.875

∑(X - Mx)2 = SSx = 119242794.375

Y Values

∑ = 33625

Mean = 840.625

∑(Y - My)2 = SSy = 2396869.375

X and Y Combined

N = 40

∑(X - Mx)(Y - My) = 15978328.125

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 15978328.125 / √((119242794.375)(2396869.375)) = 0.9451

Thus, the value of R is 0.9451.

4. This is a strong positive correlation, which means that high X variable scores go with high Y variable scores (and vice versa).

5) The value of R², the coefficient of determination, is 0.8932.

To drive this, just square the coefficient of determination. That is

R² = 0.9451² = 0.8932

5. To compute the standard errors of the estimate:

SE = √(SSE / (n-2))

where SSE is the sum of squared errors and n is the sample size.

From the regression output, we have SSE = 0.9326 and n = 40.

SE = √ (0.9326 / (40-2)) = 0.1570

Therefore, the standard error of estimate is 0.1570.

6) Yes, because the coefficient of determination is high (0.8932), indicating that 89.32 % of the variability i  n the amount spent can be explained by the linear relationship with monthly  income.

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Full Question:

Although part of your question is missing, you might be referring to this full question: See attached.

Answer:

Step-by-step explanation:

To find the volume created by revolving the area between the curve y = x^2 + 1 and the line y = 10 about the line y = 10, we can use the method of cylindrical shells.

First, we need to find the limits of integration. Since the curve and the line intersect at y = 10 and y = x^2 + 1 = 10, we have x^2 = 9, which gives us x = ±3. So, our limits of integration are from x = -3 to x = 3.

Next, we need to find the radius of each cylindrical shell. The distance between the line y = 10 and the curve y = x^2 + 1 is simply 10 - (x^2 + 1) = 9 - x^2.

Finally, we can set up the integral to find the volume:

V = ∫ from -3 to 3 2π(9 - x^2)(x) dx

We multiply by 2π since we are revolving around the line y = 10 and we integrate with respect to x.

Evaluating the integral, we get:

V = 2π ∫ from -3 to 3 (9x - x^3) dx

V = 2π [(4.5x^2 - 0.25x^4) from -3 to 3]

V = 2π [(4.5(3)^2 - 0.25(3)^4) - (4.5(-3)^2 - 0.25(-3)^4)]

V = 2π [27 - 6.75]

V = 42.39π

Therefore, the volume created by revolving the area between the curve y = x^2 + 1 and the line y = 10 about the line y = 10 is approximately 42.39π cubic units.

The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).

An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.

A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.

According to the given information:

To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.

a) (3,-3):

y = 2x - 3

-3 = 2(3) - 3

-3 = 3

This is not true, so (3,-3) is not on the graph.

b) (0,-3):

y = 2x - 3

-3 = 2(0) - 3

-3 = -3

This is true, so (0,-3) is on the graph.

c) (5,7):

y = 2x - 3

7 = 2(5) - 3

7 = 7

This is true, so (5,7) is on the graph.

d) (-2,-7):

y = 2x - 3

-7 = 2(-2) - 3

-7 = -7

This is true, so (-2,-7) is on the graph.

e) (2,1):

y = 2x - 3

1 = 2(2) - 3

1 = 1

This is true, so (2,1) is on the graph.

f) (4,5):

y = 2x - 3

5 = 2(4) - 3

5 = 5

This is true, so (4,5) is on the graph.

Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).

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