What number makes the expression equivalent? 1/2 (-14m+4)= blank m+2

Angle 1 =65°(vertically opposite angles)

Angle 2 =65°(corresponding angles)

Answer:

The equation that represents the line that passes through the given points is y - 1 = \(\frac{5}{3}\) (x - 3) ⇒ A

Step-by-step explanation:

The point-slope form of the linear equation is y - y1 = m(x - x1), where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where

∵ The line passes through points (3, 1) and (6, 6)

∴ x1 = 3 and y1 = 1

∴ x2 = 6 and y2 = 6

→ Substitute them in the rule of the slope to find it

∵ m = \(\frac{6-1}{6-3}=\frac{5}{3}\)

∴ m = \(\frac{5}{3}\)

→ Substitute the value of x1, y1, and m in the form of the equation above

∵ y - 1 = \(\frac{5}{3}\) (x - 3)

∴ The equation that represents the line that passes through the given

   points is y - 1 = \(\frac{5}{3}\) (x - 3)

Answer:

123

Step-by-step explanation:

The person can buy a total of 36 distinct systems from three models of the basic unit, three models of keyboard, and four models of printer.

Given, a person buying a personal computer system is offered a choice of three models of the basic unit, three models of keyboard, and four models of printer.

we have to find the number of distinct systems that can be purchased.

Using the concept of Permutations and Combinations, we get

Choose One model of basic unit from three models, Choose one model of keyboard from three models of keyboards and also choose one model of printer from four models of printers.

C(3 , 1)×C(3 , 1)×C(4 , 1)

= 3×3×4

= 36

So, the total of 36 systems can be purchased.

Hence, the total of 36 systems can be purchased.

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Answer:

The similarity postulate theorem is;

Similar - AA

Step-by-step explanation:

We are told that angle p is congruent to angle s, angle q is congruent to angle t.

Thus it is an AA similarity theorem because AA similarity theorem states that: If two angles in one triangle are congruent/respectively equal to two angles of another triangle, then the 2 triangles are similar.

For example, if we assume ΔABC and ΔDEF to be two triangles such that ∠A = ∠D and ∠B = ∠E. Then the two triangles are equiangular and thus they are similar by AA.

Answer: similar AA is correct

Step-by-step explanation:

Just took the test:)

Answer:

.19634954084 which is approximately .19

Step-by-step explanation:

Area of Circle: Pi(r^2)

Area of Square: L x W

Square: 28 x 28= 784

Circle: Pi(7^2)= 153.938040026

153.938040026 divided by 784 equals .19634954084, or approximately .19

Answer:

No solutions

Step-by-step explanation:

\(y=-\dfrac{1}{2}x+4 \\\\x+2y=-8\)

Substitute:

\(x+2(-\dfrac{1}{2}x+4)=-8\\\\x-x+8=-8\\\\8=-8\)

This system has no solutions.

Hope this helps!

In the first 20 minutes, the number of words memorized is 24, as determined by integrating the given rate of memorizing function.

To find the number of words memorized in the first 20 minutes, we need to integrate the rate of memorizing function M'(t) over the interval [0, 20].

Given M'(t) = -0.006t² + 0.4t, we can integrate this function with respect to t to find the total number of words memorized, M(t):

M(t) = ∫(-0.006t² + 0.4t) dt

To find M(t), we integrate each term separately:

M(t) = (-0.006 * (t³/3)) + (0.4 * (t²/2)) + C

Evaluating the integral at the limits of integration [0, 20]:

M(20) - M(0) = [(-0.006 * (20³/3)) + (0.4 * (20²/2))] - [(-0.006 * (0³/3)) + (0.4 * (0²/2))]

Simplifying the expression:

M(20) - M(0) = [(-0.006 * (8000/3)) + (0.4 * (200/2))] - [(0 + 0)]

M(20) - M(0) = [-16 + 40] - [0]

M(20) - M(0) = 24

Therefore, in the first 20 minutes, the number of words memorized is 24.

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The presence of dappled brown patches on a patient's cheek may indicate a condition called melasma. Melasma is a common skin condition that typically affects women and is associated with hormonal changes, sun exposure, and genetic factors.

Dappled brown patches on the cheek often suggest a condition called melasma. Melasma is a common skin disorder characterized by the development of dark, irregularly shaped patches on the skin. It typically affects women, especially those with darker skin tones, and is often associated with hormonal changes, such as during pregnancy or with the use of birth control pills. Sun exposure is another contributing factor to the development of melasma. Genetic factors also play a role, as it tends to run in families. Melasma is not a harmful or dangerous condition but can cause cosmetic concerns and affect a person's self-esteem.

To manage melasma, various treatment options are available. These include topical creams containing ingredients such as hydroquinone, tretinoin, or corticosteroids, which can help lighten the patches over time.

Chemical peels that involve the application of a chemical solution to exfoliate the skin and reduce hyperpigmentation may also be used. In some cases, laser therapy can be beneficial to target and break up the excess pigment in the affected areas.

It's important to note that melasma may recur, especially with sun exposure, so it's essential to protect the skin from the sun by wearing sunscreen and using protective clothing. Consulting a dermatologist is recommended to determine the most appropriate treatment approach for an individual case of melasma.

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Step-by-step explanation:

Repost the question with a picture

Answer:

The INTEGER function returns an integer representation of a number or character string in the form of an integer constant.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Shaded area = Area of big circle - area of small circle as two half-circles add up to small circle

Area formula:

Shaded area

The.dimensions (length and width) of the poster include 10 inches and 2 inches.

Let the width be represented by w.

The length based on the information given will be: (w/2) + 9 = 0.5w + 9

The area is 20 inches²

It should be noted that length × width = area.

This will be:

= (0.5w + 9) × w = 20

0.5w² + 9w = 20

0.5w² + 9w - 20 = 0

Multiply through by 2

w² + 18w - 40 = 0

w² + 20w - 2w - 40 = 0

w(w + 20) - 2(w + 20)

(w - 2) = 0

w = 0 + 2

Width = 2 inches

Length = 0.5w + 9

= 0.5(2) + 9

= 1 + 9

= 10 inches.

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Answer:

just use symbola

and place the two things you have

Step-by-step explanation:

i use it alot it helps you understand the y-intercept and x-intercept and ou can zoom in and zoom out also you can mark the ponts and change the line to make it a different color

Answer:

A and B are correct

Step-by-step explanation:

A)

Regular price=$24.30

Markdown=15%

Markdown Price=$24.30 * 15%

Markdown price=$3.645

Sale Price=$24.30-$3.645

Sale Price=$20.66

B)

Regular price=$66.50

Markdown=15%

Markdown price=$66.50 * 15%

Markdown price=$9.975

Sale Price=$66.50-$9.975

Sale Price=$56.53

If you need to ask any question, please let me know.

The function \(\(f(x) = \frac{4}{3}x^3 - 9x + 1\)\) has an absolute maximum and minimum values on the interval \(\([0, 3]\)\). The absolute maximum value is \(\(f(3) = -8\)\) and it occurs at \(\(x = 3\)\). The absolute minimum value is \(\(f(1) = -9\)\) and it occurs at \(\(x = 1\)\).

To find the absolute maximum and minimum values of the function, we need to evaluate the function at the critical points and endpoints of the interval \(\([0, 3]\)\). First, we find the critical points by taking the derivative of the function and setting it equal to zero:

\(\[f'(x) = 4x^2 - 9 = 0\]\)

Solving this equation, we find two critical points: \(\(x = -\frac{3}{2}\)\) and \(\(x = \frac{3}{2}\)\). However, these critical points are not within the interval \(\([0, 3]\)\), so we don't need to consider them.

Next, we evaluate the function at the endpoints of the interval:

\(\[f(0) = 1\]\)

\(\[f(3) = -8\]\)

Comparing these values with the critical points, we see that the absolute maximum value is \(\(f(3) = -8\)\) and it occurs at \(\(x = 3\)\), while the absolute minimum value is \(\(f(1) = -9\)\) and it occurs at \(\(x = 1\)\). Therefore, the function \(\(f(x) = \frac{4}{3}x^3 - 9x + 1\)\) has an absolute maximum value of -8 at \(\(x = 3\)\) and an absolute minimum value of -9 at \(\(x = 1\)\) on the interval \(\([0, 3]\)\).

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To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

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Given that Hillard Manufacturing issued bonds with a 10-year maturity, a $1,000 par value, a 10% coupon rate, and semiannual interest payments.

To calculate the price at which the bonds would sell after two years, we need to determine the present value of the future cash flows generated by the bonds. The cash flows consist of the coupon payments and the par value received at maturity. First, we calculate the present value of the coupon payments.

The bonds have a 10% coupon rate, which is paid semiannually. As the bonds have a 10-year maturity, there will be 20 coupon payments (2 payments per year for 10 years). The present value of these coupon payments is calculated using the discounted cash flow formula. Next, we calculate the present value of the par value received at maturity. The par value is $1,000, which will be received in 10 years. We discount this future value to its present value.

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The total cashback you will get back is\($ 49.75}\)

The Given, original price \($=\$ 50$\) Sales fax\($=9.5 \%$\\\)

For first sale

                 \(\begin{aligned}\text { Price of item } & =\$ 50 \\\text { sales tax } & =+\$ 4.75 \\10 \% \text { discount } & =\frac{-\$ 5}{\$ 49.75}\end{aligned}\)

A sale is a transaction between two or more parties that involves the exchange of tangible or intangible goods, services, or assets for money. In some cases, assets other than cash are paid to a seller.

In the financial markets, a sale can also refer to an agreement that a buyer and seller make regarding a financial security, its price, and specific arrangements for its delivery.

Regardless of the context, a sale is essentially a contract between a seller of a particular good or service and a buyer who is willing to pay for that good or service.

for second Sale:-

There is no tax

So price\($=\$ 50$\)

For third sale: - Buy 3 and get 1 half of

\(\begin{aligned}\text { Price }=50 \times 3 & =\$ 150 \\\text { Sales tax }= & +\$ 14.25 \\\text { Discount } & =\frac{-\$ 25}{\$ 139.25}\end{aligned}\)

So, price of 1 piece \($=\$ 46.42$\)

for fourth Sale; - Buy anything over \(\$40\) and get \($\$ 5$\) gift card.

\(& \text { Price }=\$ 50 \\& \text { sales tax }=+\$ 4.75 \\& \text { Gift card }=\frac{-\$ 5}{\$ 49.75}\end{aligned}\)

Therefore, the cashback you will get back is \($ 49.75}\)

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Answer:

The question is not complete so I am unsure what to solve for f(n)=$2.25x+4.25 or f(n)= $2.25x+4.25y

Step-by-step explanation:

Shoe rental $2.25

Per game $4.25

Depending on how many people are going to rent (x) and assuming they are only playing one game your equation would be

f(n)=$2.25x+4.25

However if the question does not state how many games are being played i would say

f(n)= $2.25x+4.25y

Answer: \(a_{n}=653+(n-1)608\)

Step-by-step explanation: This sequence of numbers is an arithmetic progression: a sequence of numbers in which the last number is the previous number plus a constant factor.

For example, the sequence:

653 1261 1869 2477 3085 3693

if you subtract each term with its previous number, the result will be 608:

1261 - 653 = 608

1869 - 1261 = 608

...

33693 - 3085 = 608

For a general arithmetic progression, the nth value is

\(a_{n}=a_{0}+(n-1)r\)

where

\(a_{n}\) is the wanted value

\(a_{0}\) is the first value

n is number of terms or values

r is constant factor

For the sequence above, nth value is:

\(a_{n}=653+(n-1)608\)

The algebraic expression for the nth value in this sequence is \(a_{n}=653+(n-1)608\).

The radius of the cylindrical shaped soup can is r = 3.3 cm

Given data ,

A company is designing a soup can that is in the shape of a right circular cylinder. The height of the can will be 3 times the radius of the can. The volume of the can will be 350 cubic centimeters

Now , Volume of Cylinder = πr²h

where h = 3r

On simplifying , we get

350 = πr²3r

350 = 3πr³

Divide by 3π on both sides , we get

r³ = 37.13615

Taking cube root on both sides , we get

r = 3.3 cm

Hence , the radius of soup can is r = 3.3 cm

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Answer:

(-1 3/5, 2 3/5)

Step-by-step explanation:

Red Line:

m = 3-(-1)/-2-2 = 4/-4 = -1

b = 1

equation:  y = -x + 1

Blue Line:

m = 5-1/2-(-4) = 4/6 = 2/3

find 'b':

5 = 2(2/3) + b

15/3 = 4/3 + b

b = 11/3

equation:  y = 2/3x + 11/3

Find Point of Intersection:

-x + 1 = 2/3x + 11/3

multiply each side by 3 to get:

-3x + 3 = 2x + 11

-5x = 8

x = -8/5

find 'y':

y = -(-8/5) + 1

y = 8/5 + 1 = 13/5

y = 2 3/5

In the curve of the sinusoidal curve when x = -2 y = 2

A sinusoidal curve, also known as a sine wave, is a type of waveform that is commonly used to describe oscillations or periodic phenomena in various fields such as physics, engineering, mathematics, and electronics.

A sinusoidal curve is a graph of a function that oscillates between an upper value and a lower value, and repeats itself over a period of time.

In order to find the value of y when x = -2, from the x-axis at x = -2 trace it to touch the curve and then trace to the y-axis to get the y value (Check the attached).

Therefore, when x = -2, y = 2

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Each person, Dillon, Adam, and Max, will receive approximately 8.33 ounces of orange juice when splitting the 25-ounce container evenly between them.

To split the 25-ounce container of orange juice evenly between Dillon, Adam, and Max, follow these steps:

Determine the number of people: In this case, there are three individuals - Dillon, Adam, and Max.

Calculate the amount per person: Divide the total amount of orange juice (25 ounces) by the number of people (3) to determine the amount each person will receive.

25 ounces / 3 people = 8.33 ounces per person (rounded to two decimal places).

Distribute the orange juice: Each person, Dillon, Adam, and Max, will receive approximately 8.33 ounces of orange juice.

Therefore, when splitting the 25-ounce container of orange juice evenly between Dillon, Adam, and Max, each person will receive approximately 8.33 ounces. It's important to note that due to rounding, the exact amount per person may be slightly different, but it will be close to 8.33 ounces.

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