7)
Is MNO similar to PQO

Angela needs 5 cups of flour, while Jaleel requires 7 cups of flour, when they each use the entire 20-cup bag of sugar for their respective.     brownie recipes.    

To determine how much flour Angela and Jaleel each need, we can analyze the given graph and table, which represent the relationship between the number of cups of flour and the number of cups of sugar in their respective brownie recipes.

Since they both divide a 20-cup bag of sugar evenly and use all of it, we can assume that they have 10 cups of sugar each. Now, we need to find the corresponding amount of flour for this quantity of sugar.

By examining the graph, we can see that for Angela's recipe, when she uses 10 cups of sugar, she needs approximately 5 cups of flour. Therefore, Angela needs 5 cups of flour for her recipe.For Jaleel's recipe, referring to the table, we find that when he uses 10 cups of sugar, he requires 7 cups of flour. Hence, Jaleel needs 7 cups of flour for his recipe.

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Answer:

The probability of.john choosing a red marble is 33.333%

Step-by-step explanation:

All the marbles add up to 24 and there are only 8 red marbles so the ratio from the all the marbles and red is

8/24 turn that into a percentage and you'll get 33.333%

Answer:

40 dollars

Step-by-step explanation:

100/25=4

10×4=40

Answer:

B  x = 3, y= 3

Step-by-step explanation:

Trigonometric ratios

\(\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}\)

where:

Given:

\(\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}\)

\(\implies x=3\sqrt{2}\sin(45^{\circ})\)

\(\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}\)

\(\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}\)

\(\implies x=\dfrac{3 \cdot 2}{2}=3\)

\(\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}\)

\(\implies y=3\sqrt{2}\cos(45^{\circ})\)

\(\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}\)

\(\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}\)

\(\implies y=\dfrac{3 \cdot 2}{2}=3\)

Answer:

c

Step-by-step explanation:

The final answer is 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C, where C represents the constant of integration. The expression is given in terms of x only.

To evaluate the given integral, we can use trigonometric substitution. Let's substitute x = 4sinθ, which allows us to rewrite the integrand in terms of θ. The differential becomes dx = 4cosθ dθ.

Using this substitution, the integral transforms into ∫(4sinθ)²√(16-(4sinθ)²)(4cosθ) dθ. Simplifying this expression yields 16∫sin²θ√(1-cos²θ)cosθ dθ.

We can apply the double-angle identity sin²θ = (1-cos2θ)/2 to simplify further. This results in 8∫(1-cos2θ)√(1-cos²θ)cosθ dθ.

Next, we can apply the trigonometric identity sin(2θ) = 2sinθcosθ to obtain 8∫(sinθ-sin³θ) dθ.

Finally, integrating term by term and substituting back x = 4sinθ, we arrive at the final answer of 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C. This expression represents the antiderivative of the given function in terms of x only, where C represents the constant of integration.

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The values are;

1.Volume = 70 cm³

Area = 379. 7 cm²

2.  Volume = 1017. 36 cm³

Area = 565. 2 cm²

3.  Volume = 864 cm³

Area  = 93. 24cm²

4. Volume = 1200cm³

Area = 12√3cm²

We have that the volume of a triangular prism is expressed as;

1.

Volume = Base × height

Substitute the values, we have;

Volume = 14 ×5

Volume = 70 cm³

Area = bh + (s₁+ s₂+ s₃)l

Substitute the values as shown, we have;

Area = 14 ×12.12 + (14 + 14 + 14) 5

Multiply the values, we have;

Area = 169. 68 + 210

Area = 379. 7 cm²

2. Volume of the cylinder = πr²h = 3.14 × 6²×9

Volume = 1017. 36 cm³

Area of the cylinder = 2πrh + 2πr²

Area = 339. 12 + 226. 08

Area = 565. 2 cm²

3. Volume =3abh = 3× 8 ×6 × 6

Volume = 864 cm³

Area = 3√3/2a² = 2. 59 × 36 = 93. 24cm²

4. Volume = lwh = 10 × 10 × 12 = 1200cm³

Area = pq/2 = 12 ×2√3/2 = 12√3cm²

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Complete Question

According to a random sample taken at 12​ A.M., body temperatures of healthy adults have a​ bell-shaped distribution with a mean of 98.13degrees°F and a standard deviation of 0.62degrees°F. Using​ Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the​ mean?

What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the​ mean?

Answer:

a) what do we know about the percentage of healthy adults with body temperatures that are within 3 standard deviations of the​ mean?

This means that at least 88.89% of healthy adults with body temperatures that are within 3 standard deviations of the​ mean.

b).What are the minimum and maximum possible body temperatures that are within 3 standard deviations of the​ mean?

The minimum body temperature within 3 standard deviations of the mean = 96.27°F

The maximum body temperature within 3 standard deviations of the mean = 99.99°F

Step-by-step explanation:

We solve this question using Chebyshev's theorem.

Chebyshev's theorem states that:

1) At least 3/4 of the data lies within two standard deviations of the mean. This means, the interval endpoints :

Mean ± 2Standard deviation

2) At least 8/9 of the data lies within three standard deviations of the mean. This means, the interval endpoints :

Mean ± 3Standard deviation

From the above question,

Mean = 98.13°F

Standard deviation = 0.62°F

The question specified 3 Standard deviation from the mean. Hence,

a) At least 8/9 of the data lies within three standard deviations of the mean. This means, the interval endpoints :

Mean ± 3Standard deviation

Converting this to percentage

8/9 × 100 = 88.89%

Therefore, this means that at least 88.89% of healthy adults with body temperatures that are within 3 standard deviations of the​ mean.

b) For question B,to find the minimum, maximum value

At least 8/9 of the data lies within three standard deviations of the mean. This means, the interval endpoints :

Mean ± 3Standard deviation

Mean = 98.13°F

Standard deviation = 0.62°F

98.13 - 3 × 0.62

= 96.27°F

98.13 + 3 × 0.62

= 99.99°F

Therefore, the minimum body temperature within 3 standard deviations of the mean = 96.27°F

The maximum body temperature within 3 standard deviations of the mean = 99.99°F

Answer:

A. x = 6

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 10^2

64 + b^2 = 100

b^2 = 100 - 64

b^2 = 36

√b^2 = √36

b = 6

Answer:

A.  

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following equation given above:

2. The negative four will pass as a positive four to the rigth member.

3. Te sum of 7 and 4 will be divided by , as following:

hope it helps:)

Answer:

A + B + 4C

Step-by-step explanation:

Move 4 to the left of C. Find the exact value

In 2.63  hours the prices of the two stocks be the​ same

Two or more expressions with an Equal sign is called as Equation.

Given,

The price of Stock A at 9 A.M. was $12.71.

Price has been increasing at the rate of $0.08 each hour

Price of Stock B was $13.21

The price has been decrease at the rate of $0.11 each hour.

We can write in the form of equation , to find how many hours will the prices of the two stocks be the​ same

12.71+0.08h=13.21-0.11h

0.11h+0.08h=13.21-12.71

0.19h=0.5

Divide both sides by 0.19

h=0.5/0.19

h=2.63

Hence, in 2.63  hours the prices of the two stocks be the​ same

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The maximum error in calculating the surface area of the rectangular box is 184.

A rectangle is just a quadrilateral with equal angles and opposite sides that are equal & parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and width.

The length of a rectangle is the longer side, while the width is the shorter side.

Now according to the question;

The total surface area of the rectangle is;

L= length, W = Width and H = height

A = 2LW + 2WH + 2LH

Differentiating the area;

dA=[2*(dL)*W+2*L*(dW)]+[2*(dW)*H+2*W*(dH)]+[2*(dL)*H+2*L*(dH)]

dA is the maximum error.

As, the error obtained on each side is same as 0.2.

dL=dW=dH=0.2cm

L=100cm

W=70cm

H=60cm

Simply enter the value into the above calculation, and the resulting value is your maximum error.

dA=[2*(0.2)*100+2*70*(0.2)]+[2*(0.2)*70+2*60*(0.2)]+[2*(0.2)*60+2*100*(0.2)]

dA=184

Therefore, the maximum error in calculating the surface area of the box is 184.

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The journal entry on April 13, to record the payment of the amount owed would be: Debit Credit Account Receivable$2,637 (2% discount on $2,700) Cash$2,584 [(Cost of Merchandise - return) - discount] Cost of Merchandise$2,700 Inventory $2,700 (original price of merchandise purchased)

On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. On April 6, Fair Coffee returns $100 of the merchandise.On April 5, Fair Coffee, Incorporated purchased merchandise with a list price of $2,700 and credit terms 2/10, n/30. The company receives a discount of 2% if they pay within 10 days.On April 6, Fair Coffee returns $100 of the merchandise. The company will deduct the return amount from the cost of merchandise they will pay for.On April 13, the company is making payment of the amount owed. Since the company is eligible for a discount of 2% as they are paying within 10 days. The journal entry would be to debit the Account Receivable for the amount after deducting the discount and credit the cash account for the amount they are paying. The cost of merchandise purchased account would be credited with the original amount and inventory would be debited for the same amount.

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Answer:

y = -3x + 5

Step-by-step explanation:

6x + 2y = 10

Subtract 6x on both sides.

2y = -6x + 10

Divide 2y, -6x, and 10 by 2

y = -3x + 5

Answer:

a: (2, -3)

b: 20

c: 24

The expression that is equivalent to 5.8 divided by 1.15 is 10.086 divided by 2.

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The value of 5.8 divided by 1.15 will be:

= 5.8 / 1.15

= 5.043

In this case, 10.086 divided by 2 will be:

= (10.086/2)

= 5.043

Therefore, this gives same value.

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The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is given as follows:

(1.9, 2.3).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 18 - 1 = 17 df, is t = 1.33.

The parameters are given as follows:

\(\overline{x} = 2.1, s = 0.74, n = 18\)

The lower bound of the interval is given as follows:

2.1 - 1.33 x 0.74/sqrt(18) = 1.9.

The upper bound of the interval is given as follows:

2.1 + 1.33 x 0.74/sqrt(18) = 2.3.

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Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

the correct answer is A. $63,200.

To compute the cost component of the machine, we need to add up all the related expenditures to the cash price of the machine.

Cash price of the machine: $60,000

Sales taxes: $2,000

Insurance after installation: $200

Installation and testing: $1,000

Total related expenditures: $2,000 + $200 + $1,000 = $3,200

Cost component of the machine: Cash price + Total related expenditures

Cost component of the machine = $60,000 + $3,200 = $63,200

Therefore, the correct answer is a. $63,200.

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The most appropriate measure of center is the mean which describes the average weight of oranges.

For the given data:

5,6,7,7,8,8,10,11,11,14,16,19,20,21

The most appropriate measure of center from the data given is the mean. The mean value gives the average weight of the oranges in the scenario given above.

The mean can be calculated thus :

(Sum of weight / Number of values)

Mean = (163 / 14)

Mean = 11.64

Hence, the most appropriate measure of center is the mean and it describes the average weight of oranges.

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Answer:

5 1/2 ft ²

Step-by-step explanation:

5x1/3=1 & 2/3

1/2x2x(5-1&1/3)=

1/2x2x3 &2/3=

3 & 2/3

1 & 2/3 + 3 & 2/3 = 5 & 1/3

According to algebra, we can break 12 into parts such that each X value when multiplied by 6 gives a total of 72. Thus, the 2nd option is correct.

Divide the quantity "12" into parts (the number of parts is not specified) and multiply each part by 6.

If you don't want to divide 12, the straight forward way is to simply multiply 12 by 6. 12 x 6 = 72

If we decompose 12 into 12 parts,

X₁, X₂, X₃, X₄, X₅, X₆, X₇, X₈, X₉, X₁₀, X₁₁, X₁₂

In this case X₁ represents the first unit of the number 12. X₂ represents the second unit of the number 12. X₁₂ represents the last unit of the number 12. Therefore, X₁ + X₂ + X₃ + X₄ + X5 + X₆ + X₇ + X₈ + X₉ + X₁₀ + X₁₁ + X₁₂ = 12

Each X value is the number 1. There are 12 locations and each case has its own identity. Multiplying each X value by 6 gives a total of 72.

According to algebra, we can break 12 into parts such that each X value when divided by 6 gives a total of 72. Thus, the 2nd option is correct.

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The average speed of a falling object during the first 3 seconds of its fall is h(3)-h(0)/3.

The model of the motion of the body is given by, and the function of the motion of the body is given by h(t) = 300 - 16t².

The speed of object after 3 seconds is given by . The falling speed of object during the first 3 seconds of falling is calculated as follows, v = dh(t)/dt = -32t.

So now the average speed of the movement is calculated as follows,

v = h(3)-h(0)/3.

Option d is therefore the correct option.

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Complete question - the height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function . what is the average rate at which the object falls during the first 3 seconds?

A.) h(3) – h(0)

B.) h(3/3)-h(0/3)

C.) h(3)/3

D.) (h(3)-h(0))/3

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

Answer:

5

Step-by-step explanation:

The estimated winners' prize in 2040, assuming the same rate of increase per year, is approximately $54,680,580,063,400.

The initial value is $150, and the final value is $1,163,000. The number of years between 1895 and 2007 is 2007 - 1895 = 112 years.

Using the formula for percentage increase:
Percentage Increase = [(Final Value - Initial Value) / Initial Value] * 100
= [(1,163,000 - 150) / 150] * 100
= (1,162,850 / 150) * 100
= 775,233.33%

Therefore, the winners' check increased by approximately 775,233.33% over the period from 1895 to 2007.

To estimate the winners' prize in 2040, we assume the same rate of increase per year. We can use the formula:
Future Value = Initial Value * (1 + Percentage Increase)^Number of Years

Since the initial value is $1,163,000, the percentage increase per year is 775,233.33%, and the number of years is 2040 - 2007 = 33 years, we can calculate the future value:

Calculating this expression:
Future Value = 1,163,000 * (1 + 775,233.33%)^33

Using a calculator or computer software, we can evaluate this expression to find the future value. Here's the result:

Future Value ≈ $1,163,000 * (1 + 77.523333)^33 ≈ $1,163,000 * 47,051,979.42 ≈ $54,680,580,063,400

Therefore, based on the assumed rate of increase per year, the estimated winners' prize in 2040 would be approximately $54,680,580,063,400.

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Answer:

Azda has a better value

Step-by-step explanation:

Tisco: 4 x 1.56 = £6.24 x 3 = 18.72

Azda: 3 x 1.14 = 3.42 x 4 = 13.68

Answer:

Step-by-step explanation:

hello here is an solution

The domain and range are  (-∞,1/6)∪ (1/6, -∞), {x/x≠1/6} and  (-∞,-7/6)∪ (-7/6, ∞), {y/y≠-7/6} respectively.

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=(x+1)/6x+7

Let f(x)=y

(x+1)/6x+7=y

x+1=y(6x+7)

x+1=6xy+7y

6xy-x=7y-1

x(6y-1)=7y-1

Divide both sides by 6y-1

x=7y-1/6y-1

So f⁻¹(x)=1-7x/6x-1

The domain is (-∞,1/6)∪ (1/6, -∞), {x/x≠1/6}

The range is (-∞,-7/6)∪ (-7/6, ∞), {y/y≠-7/6}

Hence, the domain and range are  (-∞,1/6)∪ (1/6, -∞), {x/x≠1/6} and  (-∞,-7/6)∪ (-7/6, ∞), {y/y≠-7/6} respectively.

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1

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

m = 1

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{General Slope-Intercept Form:}}\\\\y = mx + b\\\rule{150}{0.5}\\\text{m - slope}\\\text{b - Y-intercept}\)

⸻⸻⸻⸻

The slope is '1'. Unusually, the 1 is not written in equations. Since '1' would take m's place, the slope of the given equation is 1.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.