Please help I don’t understand!(By the way there’s to parts to the question you have to graph and answer what the slope is)

The possible solutions of the points are as follows

The solutions are the points that fall in the areas where the shading of the two graphs representing the equation passed

In the attached graph it can be seen that the points shown are within the areas that has the shading of the two equations.

Therefore we can say that the points (-3,1), (-3, -1), and (-4, -5) are the solution.

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Answer:

B. A one-sample z-interval for a sample proportion

Step-by-step explanation:

In this experiment we are only given the sample. Neither the population nor the two samples nor difference between two samples is given .

So we are left only with the option B which satisfies the required conditions.

We will estimate the sample proportion and then perform, the test.

The test are performed on the basis of the statistics given.

We have the sample and the proportion that it is not longer than 35 centimeters.

Therefore option B is the correct choice.

B. A one-sample z-interval for a sample proportion

The measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

From the given triangle ABC,

∠A+∠B+∠C=180° (Angle sum property of a triangle)

∠A+32°+85°=180°

∠A+117°=180°

∠A=180°-117°

∠A=63°

We know that, the formula for sine rule is sinA/a=sinB/b=sinC/c

Here, sin63°/a = sin32°/b = sin85°/42

sin63°/a = sin32°/b = 0.9961/42

sin32°/b = 0.9961/42 and sin63°/a = 0.9961/42

0.5299/b = 0.9961/42

0.9961b=22.2558

b=22.2558/0.9961

b=22.34 feet

sin63°/a = 0.9961/42

0.8910/a = 0.9961/42

0.9961a=37.422

a=37.422/0.9961

a=37.57 feet

Therefore, the measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

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Answer:

The answer is 12.

Step-by-step explanation:

The triangles are similar, meaning that they have the same ratio. To figure out the ratio, you can see that the smaller triangle has a length of 5 for side AB. The corresponding side on the larger triangle, LM, has a length of 10. When you divide 10 by 5, you get 2, meaning that the triangle on the right is 2 times larger than the one on the left.

Now that we know that, we can solve for side AC. To do this, set up an equation for the corresponding sides. Since the larger triangle is 2 times larger, the equation would look like this: 2(x+5) = 3x+3.

That would simplify out to 2x+10 = 3x+3. Subtract 2x from both sides to get the equation 10 = x+3. Finally, subtract 3 from both sides to get 7 = x.

Now you can solve for side AC. Substitute the x in the equation for 7, giving you 7+5. That equals 12, your final answer.

I hope this makes sense! ☺

One of the Possible values of length and width of the prism are 15 cm and 0.5 cm

In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Given here: The volume of the prism is 2¹/₂=2.5 cm³

And the height is 1/3 cm

let the length and breadth of the prism is x and y respectively.

We know the volume of the prism as

1/3 × x×y=2.5

x×y=7.5

Thus possible values of length and breadth are the factors of 7.5

out of which one of the pair whose length is 15 cm and width 0.5 cm

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The balance after 2 years with daily compounding interest is $551.38.

To calculate the balance after 2 years with each day compounding interest, we will use the formulation:

\(A = P(1 + r/n)^{(nt)\)

Where:

In this example, we have:

Substituting those values into the method, we get:

Consequently, the balance after 2 years with daily compounding bis $551.38.

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Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

\(x=-\frac{41}{60}\)

Step-by-step explanation:

\(Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\\)

\(-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}\)

Don't forget the - in front of the answer

The value of u is 2 in the given right-angled triangle.

The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.

We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.

It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right-angled triangle ABC, if

BC = hypotenuse

AC and AB are the other two sides then,

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

For this problem, we can find the value of u by using trigonometric identities.

From the figure, we have an angle of 45°.

Consider Cos 45°.

Cos Ф = base / hypotenuse

Cos 45° = \(\sqrt{2}\) / u ...........(1)

From trigonometric identities of cosine.

We have,

Cos 45° = 1 / \(\sqrt{2}\)............(2)

From (1) and (2)

We get,

1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u

u = 2.

Thus the value of u is 2 in the given right-angled triangle.

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A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

In the given question, a sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.52 mpa and a sample standard deviation of 0.78 mpa.

We have to calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints.

Sample size: n = 13

Sample mean: x’ = 8.52 mps

Sample standard deviation: s = 0.78 mps

95% lower confidence bound for the true average proportional limit stress of all such joints

Level of Significance (α) = 1-95% = 5% = 0.05

α/2 = 0.025

So the value of t(α/2) = 1.8

The confidence interval = x’± t(α/2)*s/√n

Now putting the value:

The confidence interval = 8.41± (1.8)*(0.78)/√12

The confidence interval = 8.41± (1.8)*(0.226)

The confidence interval = 8.41± 0.4068

The confidence interval = (8.41- 0.4068, 8.41+ 0.4068)

The confidence interval = (8.01, 8.82)

A 95% % lower confidence bound for the true average proportional limit stress of all such joints is 8.01.

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The right question is:

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standard deviation of 0.78 mpa.

Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.)

a. The probability of Mikayla drawing black pencil from the bag if each pencil is removed from the bag after it is drawn, is 2/7.

b. The probability of Mikayla drawing blue pencil from the bag if each pencil is removed from the bag after it is drawn, is 15/28.

c. The probability of Mikayla drawing cyan pencil from the bag if each pencil is removed from the bag after it is drawn, 5/28.

Mikayla has a bag of pencils with 8 black, 15 blue, and 5 cyan pencils.

Total Number of Black Pencil = 8

Total Number of Blue Pencil = 15

Total Number of Cyan Pencil = 5

Total Number of pencil = Total Number of Black Pencil + Total Number of Blue Pencil + Total Number of Cyan Pencil

Total Number of pencil = 8 + 15 + 5

Total Number of pencil = 28

a. We have to determine the probability of Mikayla drawing black pencil from the bag if each pencil is removed from the bag after it is drawn.

The Probability = Total Number of black pencil/Total Number of pencil

The Probability = 8/28

The Probability = 2/7

b. We have to determine the probability of Mikayla drawing blue pencil from the bag if each pencil is removed from the bag after it is drawn.

The Probability = Total Number of blue pencil/Total Number of pencil

The Probability = 15/28

c. We have to determine the probability of Mikayla drawing cyan pencil from the bag if each pencil is removed from the bag after it is drawn.

The Probability = Total Number of cyan pencil/Total Number of pencil

The Probability = 5/28

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The complete question is:

Mikayla has a bag of pencils with 8 black, 15 blue, and 5 cyan pencils. find the following probabilities of Mikayla drawing the given pencils from the bag if each pencil is removed from the bag after it is drawn.

a. Only black pencil left

b. Only Blue pencil left

c. Only cyan pencil left

Answer:

8x^2-5x+10

you just need to put the ones that are the same together

Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.

The function that estimates the median weekly earnings n years after 1980 is:

W = 13n + 231.

2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:

W = 13 x 33 + 231 = 660.

657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.

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Answer:

sure send it over lol

Step-by-step explanation:

Answer:

n = 4

Step-by-step explanation:

We are given the equation 7n - 2 = 5n + 6, ans we want to solve it for n.

To do this, we need to isolate n one one side.

Let's start by adding 2 to both sides.

7n - 2 = 5n + 6

   +2           +2

_______________

7n = 5n + 8

Now, subtract 5n from both sides.

7n = 5n + 8

-5n   -5n

_______________

2n = 8

Divide both sides by 8 to get the value of n.

2n = 8

÷2   ÷2

________

n = 4

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

x = -1/2.

Step-by-step explanation:

x^2 - 4 = (x - 2)(x + 2)  so if we multiply each term by x^2 -4 we get:

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

2 - x + 2 = 3x + 6

2 + 2 - 6 = 3x + x

4x = -2

x = -1/2.

Answer:

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

Step-by-step explanation:

1. Multiply both sides of the equation by the LCM (x - 2)(x + 2):

\(\frac{2}{x^{2} -4} (x-2)(x+2)\)

factor x² - 4 by rewriting it as x² - 2²

x² - 2² = (x + 2)(x - 2)

now we have;

\(\frac{2}{(x+2)(x-2)} (x-2)(x+2)\)

cancel the common factors (x - 2)(x + 2)

= 2

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

\(\frac{-1}{x+2} (x-2)(x+2)\)

cross cancel the common factor (x + 2)

\(\frac{-1}{x-2}=-(x-2)=-x+2\)

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

\(\frac{3}{x-2} (x-2)(x+2)\)

cross cancel the common factor (x - 2)

3(x + 2)

distribute the 3

3x + 6

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

combining all new values, we have;

2 + (-x) + 2 = 3x + 6

-x + 4 = 3x + 6

2. Isolate x:

-x + 4-4 = 3x + 6-4

-x = 3x + 2

-x-3x = 3x-3x + 2

-4x = 2

-4x/-4 = 2/-4

x = \(-\frac{1}{2}\)

hope this helps!

Answer:

The change should be -24 points

Answer:

2

Step-by-step explanation:

1/4 + 1/4 = 1/2

The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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◇◆□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□◆◇

\(\frac {2}{2} + \frac {3}{3}\)

\(1 + 1 \)

2

◇◆□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□◆◇

\(\:\)

_________

\( \: \)

\( \frac{2}{2} + \frac{3}{3} = ...\)

\( = (2 \div 2) + (3 \div 3)\)

\( = 1 + 1\)

= 2

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}} \implies \cfrac{ 5 }{ 5 } \implies \text{\LARGE 1}\)

Answer:

V=201.06

Step-by-step explanation:

V=πr2h

3=π·42·12

3≈201.06193

Answer:

Step-by-step explanation:

So the new coordinates of point C are (1, 2), and the image of Triangle ABC is congruent to the original triangle.

A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides or the size of its angles. A triangle with all sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle. Triangles can also be classified based on the size of their angles, with an acute triangle having all angles less than 90 degrees, a right triangle having one angle equal to 90 degrees, and an obtuse triangle having one angle greater than 90 degrees.

Here,

To find the new coordinates of point C after the rotation and translation, we need to perform each transformation separately and then combine them.

Rotation:

To rotate a point 180° counterclockwise about the origin, we switch the sign of both coordinates. Therefore, the new coordinates of point C after the rotation are (-3, -2).

Translation:

To translate a point to the right 4 and up 4, we add 4 to the x-coordinate and 4 to the y-coordinate. Therefore, the new coordinates of point C after the translation are (1, 2).

To determine if the image of Triangle ABC is similar or congruent to the original triangle, we need to compare the corresponding sides and angles of both triangles.

Since we performed a rotation of 180°, all the angles in the image triangle are congruent to the corresponding angles in the original triangle. Additionally, since we performed a translation, the sides of the image triangle are congruent to the corresponding sides of the original triangle. Therefore, the image triangle is congruent to the original triangle.

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The point C is the point in the graph refers as equilibrium price produced by the demand and supply as mentioned on X and Y axis respectively.

Economic equilibrium is the set of economic variables that drives the economy, such as supply and demand.

The term "economic equilibrium" can be used to a variety of variables, which also includes interest rates and the total consumer expenditure.

Due to the equilibrium demand and supply have produced this point, it is known as the equilibrium price.

Therefore, The point C refers as equilibrium price produced by the demand and supply as mentioned on X and Y axis respectively.

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Answer:

Step-by-step explanation:

Supply and Demand Equilibrium Match each term with the correct part of the graph

B  Demand curve

A Supply curve

C Equilibrium point

If Erin had 150m/ of buttermilk and recipe require 0.25 cups of buttermilk. Erin would  have enough buttermilk for the recipe (2).

1.2. Convert the units of measurement to a common unit.

Erin has:

150 ml of buttermilk

Recipe requires 0.25 cups of buttermilk.

1 cup=  236.59 ml

So,

0.25 cups = 0.25 * 236.59 = 59.15 ml

Therefore Erin has enough buttermilk for the recipe.

1.3. The cake recipe calls for the following ingredients:

0.8 kg of flour

650 g of sugar

900,000 mg of butter

Simplify the units by converting them to a common unit

0.8 kg = 0.8 * 1000 g = 800 g

650 g = 650 g (no conversion needed)

900,000 mg = 900,000 mg / 1000 = 900 g

Therefore the required amounts of the ingredients are: 800 g of flour, 650 g of sugar, 900 g of butter.

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Answer:

2 triangles, 180 for each triangle and 360 degrees in a square

Answer:

Step-by-step explanation:

The correct answer is found by getting the GCF of both numbers.

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

The greater factor that is common between these is 6, which is the answer.