Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i + j + 4k w = i + 4j + 3k Find the volume. V= ...

The required cost of 34 inches of wire as per the cost of 23 inches of wire is 92 cents is equals to 136 cents.

Let x be the cost (in cents) of 34 inches of wire.

We know that 23 inches of wire costs 92 cents,

Use a proportion to solve this problem,

23 inches / 92 cents = 34 inches / x cents

To solve for x, apply cross-multiply and simplify,

⇒ 23 inches × x cents = 92 cents × 34 inches

⇒ 23x = 3128

⇒ x = 3128/23

⇒ x ≈ 136.00 cents

Therefore, the cost of 34 inches of wire will be approximately 136 cents.

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Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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Answer:

64ft

Step-by-step explanation:

Here you go :)

Slope is equal to the change in y over the change in x or rise over run:

m = change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope:

m=5−(−8)/8−(4)

Simplify:

m=13/4

Substitute the value of m into the slope-intercept form of the equation, y = m x + b :

y=(13/4)x+b

Substitute the value of x into the slope-intercept form of the equation, y = m x + b .

y = ( 13/ 4 ) ⋅ ( 4 ) + b

Substitute the value of y into the slope-intercept form of the equation, y = m x + b .

− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b

Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .

( 13/ 4 ) ⋅ ( 4 ) + b = − 8

Cancel the common factor.

13/ 4 ⋅ 4 + b = − 8

Rewrite the expression.

13 + b = − 8

Move all terms not containing b to the right side of the equation.

b = − 21

The values of the slope and y-intercept are m = 13 4 and b = − 21 .

m = 13 4

b = − 21

________

Answered by James

Answer:

A. 400*45.2=400*45+400*0.2=18000+80=18080

B. 14.9*100=15*100-0.1*100=1500-1=1490

C. 76.2*200=76*200+0.2*200=15200+4=15204

Step-by-step explanation:

1. The surface area of a triangular pyramid is (P * h) / 2.

So, (12 * 2) / 2 = 12 sq ft

2. The surface area of a square pyramid is B * P / 2.

So, 4 * 16 / 2 = 32 sq in

3. The surface area of a square pyramid is B * P / 2.

So, 12 * 48 / 2 = 288 sq m

4. The surface area of a triangular pyramid is (P * h) / 2.

So, (45 * 12) / 2 = 270 sq yds

5. The surface area of a square pyramid is B * P / 2.

So, 6 * 24 / 2 = 72 sq ft

6. The surface area of a triangular pyramid is (P * h) / 2.

So, (15 * 4) / 2 = 30 sq ft

7. The surface area of a square pyramid is B * P / 2.

So, 4 * 16 / 2 = 32 sq in

8. The surface area of a square pyramid is B * P / 2.

So, 10 * 40 / 2 = 200 sq m

9. The surface area of a triangular pyramid is (P * h) / 2.

So, (45 * 8) / 2 = 180 sq yds

10. The surface area of a square pyramid is B * P / 2.

So, 16 * 64 / 2 = 512 sq ft

11. The surface area of a square pyramid is B * P / 2.

So, 5 * 20 / 2 = 50 sq ft

12. The surface area of a triangular pyramid is (P * h) / 2.

So, (45 * 8) / 2 = 180 sq ft

13. The surface area of a square pyramid is B * P / 2.

So, 13 * 52 / 2 = 338 sq in

14. The surface area of a square pyramid is B * P / 2.

So, 7 * 28 / 2 = 98 sq m

15. The surface area of a triangular pyramid is (P * h) / 2.

So, (27 * 25) / 2 = 675 sq yds

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The complete question goes thus:

Calculate The Surface Area Of Each Pyramid With The Following Values. (P = Perimeter, B = One Side Of The Base, S=Side, H=Height). Number Of Sides Is Given In Each Problem. The First Two Have Hints To Let You Know What The Shape Of The Base Is...

1. P = 12 ft, s = 4 ft, b = 4 ft, h=2 ft, 3

sides (base is a triangle)

2. b = 4 in, P = 16 in, s = 12, 4 sides

(base is a square)

3. P = 48 m, b = 12 m, s=12, 4 sides

4. P = 45 yds, b = 15 yds, s=15, h=12,

3 sides

5. b = 6 ft, P = 24 ft, s=6, 4 sides

6. P = 15 ft, b = 5 ft, s=5 ft, h= 4, 3

sides

7. b = 4 in, P = 16 in, s-11, 4 sides

8. P = 40 m, b = 10 m, s-10, 4 sides

9. P = 45 yds, b = 15 yds, s=10, h=8,

3 sides

10. b = 16 ft, P = 64 ft, s=8, 4 sides

11. b = 5 ft, P = 20 ft, s=7, 4 sides

12. P = 45 ft, b = 15 ft, s=10, h=8, 3

sides

13. b 13 in, P = 52 in, s=11, 4 sides

=

14. P = 28 m, b = 7 m, s=8, 4 sides

15. P = 27 yds, b = 9 yds, s=30, h=25,

3 act

The probability that the next chew Henry removes will be cherry or watermelon, expressed as a fraction in simplest form, is 8/11.

The number of times a cherry chew was selected is 20, and the number of times a watermelon chew was selected is also 20. Therefore, the total number of times either cherry or watermelon chew was selected is 20 + 20 = 40.

Thus, the probability that the next chew Henry removes will be cherry or watermelon can be expressed as a fraction: 40/55.

However, we can simplify this fraction. Both 40 and 55 are divisible by 5, so we can divide both the numerator and denominator by 5:

= 40 / 55

= 8 / 11

Therefore, the probability that the next chew Henry removes will be cherry or watermelon, expressed as a fraction in simplest form, is 8/11.

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Answer:

\(\frac{2c-2b}{cd-3t}\)

Step-by-step explanation:

The additional fact that would prove that △RST and ΔWXY are congruent is option D: RT ≡ WY and RS ≡ WX. So, the correct answer is D).

According to the Side-Side-Side (SSS) Congruence Postulate, if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

In this case, we already know that RT = WY, and we also have the additional fact that RS = WX. Finally, we know that ST and XY share the same length (given that they are the corresponding sides of two congruent triangles).

Therefore, we have three pairs of corresponding sides that are congruent (RT ≡ WY, RS ≡ WX, and ST ≡ XY). By the SSS Congruence Postulate, we can conclude that the two triangles △RST and ΔWXY are congruent. so, the correct answer is D).

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_____The given question is incomplete, the complete qusetion is given below:

Which additional facts prove that △RST and ΔWXY are congruent? here RT=WY= 4cm

A) RS ≡ WX

 and  

ST≡ XY

B) RS ≅ WX

 and  

RT≅ XY

C) RT ≅ WY

 and  

ST≅ XY

D)

RT ≡WY and  

RS≡WX

Answer:

Step-by-step explanation:

we know the formula,

sin^2(0) + cos^2(0) = 1

=> cos^2(0) = 1 - sin^2(0)

=> cos^2(0) = 1 - (3/8)^2

=> cos^2(0) = 1 - 9/16

=> cos^2(0) = 7/16

=> cos(0) = square root of 7/16

Ten gave the check of $5768 to the bank for payment.

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, so a borrower will never have to pay interest on the interest already accumulated because a creditor will only pay interest on the principal amount.

Formula for simple interest is;-

Simple interest = (principal amount×rate of interest×time duration in years)/100

S.I = (P×R×T)/100

Calculation of the total amount paid by Ted to the bank-

The principal amount is  $5,600.

The rate of interest is 9%.

Time duration is 4 months equals 4/12 = 1/3 years.

S.I = (5,600×9×1)/(3×100)

S.I  = 168

The simple interest on amount is $168.

Thus, the total amount is S.I + principal amount

Total amount = 168 + 5600

                      = 5768

Therefore, the total amount paid by the Ted to the bank is $5768.

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Answer:1 and 6

Step-by-step explanation:1 x 6 = 6

1 + (6) = 7

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 + 7x + 6 = 0

If so, the solution to factor the quadratic equation above is:

(X + 1 ) (X + 6)

To summarize, since 1 and 6 multiply to 6 and add up 7, you know that the following is true:

x2 + 7x + 6 = (X + 1 ) (X + 6)

Answer:

Volume: 197.92

Formula: π r² h

Step-by-step explanation:

The number of additional gifts Jeff can buy with the remaining cost is 1.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

As per the given,

Total cost = $15 + $20 = $35

Total spent = $50

Remaining = $50 - $35 = $15

Since one gift cost $10

Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.

Hence "With the money still available, Jeff can purchase 1 more present".

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Answer:

\(\mathrm{\triangle KLM}\)

Step-by-step explanation:

\(\mathrm{Vertices\ of\ image\ of\ \triangle GHJ\ is:}\\\mathrm{G(2,3) \rightarrow (2-1,3-8)=(1,-5)}\\\mathrm{H(5,6) \rightarrow (5-1,6-8)=(4,-2)}\\\mathrm{J(5,3) \rightarrow (5-1,3-8)=(4,-5)}\\\mathrm{The\ vertices\ (1,-5),\ (4,-2)\ and\ (4,-5)\ forms\ a\ triangle\ which\ overlaps\ \triangle KLM}\\\mathrm{So,\ \triangle KLM\ is\ the\ image\ of\ \triangle GHJ}\)

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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July is the seventh month of the year in the Gregorian calendar, which is the most widely used calendar system in the world.

It is considered the seventh month because it falls between June, the sixth month, and August, the eighth month. July is also the last month of the second quarter of the year, having 31 days.

July is known for many events and holidays, such as Independence Day in the United States, Canada Day, and Bastille Day in France. It's also the middle of the summer season, and people often take vacations and enjoy outdoor activities during this month.

It's important to note that in different cultures and regions the months of the year may be ordered differently.

For example, some cultures may have a lunar calendar which is based on the cycles of the moon rather than the sun, and the months may be ordered differently.

However, the Gregorian calendar is widely used around the world and it considers July as the seventh month of the year.

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The name of the rhythm with an atrial rate greater than 250 beats per minute, a non-measurable pr interval, and a ventricular rate of 120 is

The atria, or top chambers of the heart, beat too fast in atrial flutter. As a result, the heart beats quickly yet typically in a regular rhythm.

An example of a heart rhythm disturbance (arrhythmia) brought on by issues with the heart's electrical circuitry is atrial flutter.

Atrial fibrillation, a frequent disease that causes the heart to pulse irregularly, is comparable to atrial flutter.

Atrial flutter patients have a cardiac rhythm that is less erratic and more controlled than atrial fibrillation patients. A person may occasionally have both atrial flutter and atrial fibrillation in the same episode.

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We will have to pay back $206 after one year for the loan of $200 with a 3% interest rate.

Explain interest rate

The interest rate is the amount of money charged by a lender to a borrower for the use of funds or the return earned on an investment. It is usually expressed as a percentage of the principal amount and is paid or earned annually. Interest rates are influenced by various factors such as inflation, economic conditions, and government policies. Higher interest rates lead to increased borrowing costs and higher returns on investments, while lower interest rates encourage borrowing and spending but reduce returns. Interest rates play a crucial role in shaping the economy and financial markets.

According to the given information

The simple interest formula is:

Interest = Principal x Rate x Time

In this case:

So, the interest charged on the loan after one year is:

Interest = $200 x 0.03 x 1 = $6

Therefore, the total amount paid back after one year will be:

Total amount = Principal + Interest = $200 + $6 = $206

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In first equation,

Slope = 2

y - intercept = - 6

In second equation,

Slope = 1/2

y - intercept = 12

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of lines are,

⇒ y = 2x - 6

⇒y = 1/2x + 12

Now,

We know that;

The slope intercept form of an equation is,

⇒ y = mx + b

Where, 'm' is slope of the line and 'b' is y - intercept.

So, By comparing, we get;

In first equation,

⇒ y = 2x - 6

Slope = 2

y - intercept = - 6

In second equation,

⇒y = 1/2x + 12

Slope = 1/2

y - intercept = 12

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Melanie will end up with 7 pieces of paper for her craft project. This is determined by dividing the total length of the paper (17.5 inches) by the desired length for each piece (2.5 inches).

To determine the number of pieces Melanie will end up with, we need to divide the total length of the paper by the desired length for each piece.

Total length of the paper = 17.5 inches

Desired length for each piece = 2.5 inches

To calculate the number of pieces, we divide the total length by the desired length:

Number of pieces = Total length / Desired length

Number of pieces = 17.5 inches / 2.5 inches

Number of pieces = 7

Melanie will end up with 7 pieces of paper for her craft project. This is determined by dividing the total length of the paper (17.5 inches) by the desired length for each piece (2.5 inches). The resulting quotient gives us the number of pieces, which in this case is 7.

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Answer:

-5n+16

Step-by-step explanation:

7(n+1)-12n+9

7n+7-12n+9

-5n+7+9

-5n+16

The equations that, together with y = -1.5x + 3, make a system with one solution are: 1. Y = -1.5x + 6, 4. 2Y + 3x = 6, 5. Y = -2x + 3

To find the equation that makes a system with one solution when paired with y = -1.5x + 3, we need to find an equation with a different slope and/or a different y-intercept.

Let's analyze each given equation:

1. Y = -1.5x + 6: This equation has the same slope as y = -1.5x + 3 but a different y-intercept, so it has one solution.

2. Y = -1.5x: This equation has the same slope as y = -1.5x + 3, and therefore has an infinite number of solutions (or is dependent), so it's not the answer.

3. 2Y = -3x + 6: To compare with the given equation, let's put it in the same format. Divide both sides by 2 to get Y = -1.5x + 3, which is the same as the given equation, so it's not the answer.

4. 2Y + 3x = 6: To compare with the given equation, let's put it in the same format. Divide both sides by 2 to get Y + 1.5x = 3. This equation has a different slope, so it has one solution.

5. Y = -2x + 3: This equation has a different slope and y-intercept, so it has one solution.

Thus, the equations that, together with y = -1.5x + 3, make a system with one solution are:

1. Y = -1.5x + 6
4. 2Y + 3x = 6
5. Y = -2x + 3

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The solution to the equation "Three times the sum of a number and 6 equals twice the number" is x = -18.

To translate the given statement into an equation, let's break it down step by step:

"Three times the sum of a number and 6": Let's assume the number is represented by 'x'. The sum of a number and 6 would be (x + 6). Multiplying this sum by three gives us 3(x + 6).

"Equals twice the number": Twice the number would be 2x.

Combining these parts, we can form the equation:

3(x + 6) = 2x

To solve for 'x', we will simplify and isolate the variable 'x':

Expand the equation:

3x + 18 = 2x

Subtract 2x from both sides to isolate the 'x' term:

3x - 2x + 18 = 2x - 2x

x + 18 = 0

Subtract 18 from both sides to isolate the 'x' term:

x + 18 - 18 = 0 - 18

x = -18

Therefore, the solution to the equation "Three times the sum of a number and 6 equals twice the number" is x = -18.

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The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi

z = (raw score - mean) / (sample standard deviation - standard deviation)

n = 6; mean=75.5 psi; standard deviation=3.5 psi.

For (greater than) > 75.75,

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

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Answer:

232

Step-by-step explanation:

===========================================

Explanation:

I recommend drawing out the triangle. See below.

Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.

We're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A

A+B+C = 180

A+22+52 = 180

A+74 = 180

A = 180-74

A = 106

We do this so we can then apply the law of sines

sin(A)/a = sin(B)/b

sin(106)/30 = sin(22)/b

b*sin(106) = 30*sin(22) ....... cross multiplication

b = 30*sin(22)/sin(106)

b = 11.6910908340182 ....... which is approximate

b = 11.7

Make sure your calculator is in degree mode.

Answer:

1r

Step-by-step explanation:

(5r-4)(2r-6r+4)

1(5r-4)+1(2r-6r+4)

5r-4+2r-6r+4

5r+2r-6=1r

1r-4+4

-4+4=0

1r

You would need to deposit approximately $78,425.99 today in order to withdraw $14,000 a year for the next 7 years and receive an additional $28,000 in the last year, assuming an interest rate of 11%.

To calculate the present value of the complex cash flows, we need to find the present value of the annuity payments for the next 7 years and the present value of the additional amount in the last year. Let's calculate each part separately: Present Value of the Annuity Payments: The annuity payments are $14,000 per year for 7 years. We can calculate the present value using the formula for the present value of an ordinary annuity: PV = CF * [(1 - (1 + r)^(-n)) / r]. Where PV is the present value, CF is the cash flow per period, r is the interest rate, and n is the number of periods. Using an interest rate of 11% and 7 periods, we have: PV_annuity = $14,000 * [(1 - (1 + 0.11)^(-7)) / 0.11]

Present Value of the Additional Amount: The additional amount in the last year is $28,000. Since it is a single cash flow in the future, we can calculate its present value using the formula for the present value of a single amount: PV_single = CF / (1 + r)^n. Where PV_single is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. Using an interest rate of 11% and 6 periods (since it occurs in the 17th year), we have: PV_single = $28,000 / (1 + 0.11)^6. Total Present Value: The total present value is the sum of the present value of the annuity payments and the present value of the additional amount:

Total PV = PV_annuity + PV_single

Now let's calculate the values: PV_annuity = $14,000 * [(1 - (1 + 0.11)^(-7)) / 0.11] ≈ $66,698.92, PV_single = $28,000 / (1 + 0.11)^6 ≈ $11,727.07, Total PV = $66,698.92 + $11,727.07 ≈ $78,425.99. Therefore, you would need to deposit approximately $78,425.99 today in order to withdraw $14,000 a year for the next 7 years and receive an additional $28,000 in the last year, assuming an interest rate of 11%.

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Answer:

23 mph

Step-by-step explanation:

69 miles divided by 3 hours = 23 mph