what scale factor should be applied to a solid to produce a volume that is four times as large as the original volume?

Answer:

None. Both the amount of sugar and the amount of flour would be equal.

The recipe has more flour than sugar.

Answer:

  23.  0.4583 seconds

  24.  0.0107 seconds

Step-by-step explanation:

The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.

 90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s

__

23. The time it takes for the ball to travel 60.5 ft is ...

  time = distance/speed

  time = (60.5 ft)/(132 ft/s) = 0.4583 s

It takes 458.3 milliseconds to reach home plate.

__

24. time = distance/speed

  time = (17 in)/(1584 in/s) = 0.0107 s

The ball is in the strike zone for 10.7 milliseconds.

Answer: 78 kilograms

Step-by-step explanation:

Answer:

78 kg

Step-by-step explanation:

Khan academy

Answer:

a) 45/2,25=20 km per hour

b) 45 minutes

c) 45/3=15 km per hour

Answer:

See below.

Step-by-step explanation:

top left

9 × 9 = 81

9/81 = 1/9

top right

9 × 9 = 81

36/81 = 4/9

bottom left

6/72 = 1/12

bottom right

12/72 = 1/6

Answer:

look at picture :) !

Step-by-step explanation:

Answer: Im assuming that its asking for this; 8<9, 10<13

Step-by-step explanation:

Im not sure what your textbook was asking but if I helped at all that would be great to know and if I didnt send me a pic of the question then I'll answer.

In summary, the balance at the end of 4 years is approximately $88,416.58, and the balance at the end of 15 years is approximately $63,082.89.

To find the balance at the end of 4 years and 15 years for a loan of $100,000 at 4 percent annual interest with monthly payments, we can use the formula for the remaining balance on a loan after a certain number of payments.

The formula to calculate the remaining balance (B) is:

B = P * [(1 + r)^n - (1 + r)^m] / [(1 + r)^n - 1]

Where:

P is the principal amount (loan amount)

r is the monthly interest rate

n is the total number of monthly payments

m is the number of payments made

Let's calculate the balance at the end of 4 years:

P = $100,000

r = 4% annual interest rate / 12 (monthly interest rate) = 0.3333%

n = 30 years * 12 (number of monthly payments) = 360

m = 4 years * 12 (number of monthly payments) = 48

Substituting these values into the formula:

B = $100,000 * [(1 + 0.003333)^360 - (1 + 0.003333)^48] / [(1 + 0.003333)^360 - 1]

B ≈ $88,416.58

Therefore, the balance at the end of 4 years is approximately $88,416.58.

Now, let's calculate the balance at the end of 15 years:

P = $100,000

r = 4% annual interest rate / 12 (monthly interest rate) = 0.3333%

n = 30 years * 12 (number of monthly payments) = 360

m = 15 years * 12 (number of monthly payments) = 180

Substituting these values into the formula:

B = $100,000 * [(1 + 0.003333)^360 - (1 + 0.003333)^180] / [(1 + 0.003333)^360 - 1]

B ≈ $63,082.89

Therefore, the balance at the end of 15 years is approximately $63,082.89.

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The given statement: ANCOVA measures the relationship strength between two variables and how much they change together is FALSE because it is used to determine if differences between groups on a dependent variable are due to the independent variable or due to the covariate.

Analysis of covariance (ANCOVA) is actually a statistical technique used to compare means of a dependent variable across different groups, while controlling for the effects of one or more continuous variables, called covariates.

It is similar to ANOVA (analysis of variance), but with the addition of covariates. ANCOVA is not a measure of how much two variables change together or the strength of their relationship.

Instead, it is used to determine if differences between groups on a dependent variable are due to the independent variable or due to the covariate.

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Answer:y>2x+1 and x+y<-2

Step-by-step explanation: Plot those two lines and they should appear the same as the graph, with the area to the left of (-1,-1) and between the lines greyed out.

The shortest length of fabric, in inches, Kirk could use to make the tablecloth without putting any separate pieces of fabric together is 138 inches.

Let us find out the shortest length of fabric, in inches, Kirk could use to make the tablecloth without putting any separate pieces of fabric together.

For the tablecloth, the diameter of the circular table is 3 feet which means the radius of the circular table is given by;

Radius of the circular table = Diameter / 2 = 3 / 2 = 1.5 feet

Since Kirk wants to make the tablecloth to hang down 5 inches over the edge of the table all the way around, then the total diameter of the tablecloth is given by;

Total diameter of tablecloth = 3 feet + 5 inches + 5 inches = 3 feet 10 inches = 3.83 feet

For a single piece of rectangular fabric that is 60 inches wide, we will find out the shortest length of fabric that Kirk could use to make the tablecloth without putting any separate pieces of fabric together as shown below;

We will draw a rectangle with width 60 inches and length L inches, where L represents the length of the rectangular piece of fabric.

The area of the rectangular piece of fabric is given by;

Area of rectangular piece of fabric = Width × Length= 60 inches × L inches= 60L square inches

However, to make the tablecloth, Kirk needs a circular piece of fabric. The total diameter of the circular piece of fabric is 3.83 feet.

Therefore, the radius of the circular piece of fabric is given by;

Radius of the circular piece of fabric = Diameter / 2= 3.83 / 2 = 1.92 feet

The circumference of the circular piece of fabric is given by;

Circumference of circular piece of fabric = 2πr= 2 × π × 1.92 feet= 12.05 feet

To ensure that the tablecloth hangs down 5 inches over the edge of the table all the way around, Kirk will fold under and sew down 1 inch of the material all around the edge.

Hence, the diameter of the tablecloth will be reduced by 2 inches.

The diameter of the circular piece of fabric required is;

Diameter of circular piece of fabric required = 3.83 feet - 2 × 1 inch = 3.67 feet

Therefore, the radius of the circular piece of fabric required is given by;

Radius of the circular piece of fabric required = Diameter / 2= 3.67 / 2 = 1.83 feet

Hence, the circumference of the circular piece of fabric required is given by;

Circumference of circular piece of fabric required = 2πr= 2 × π × 1.83 feet= 11.5 feet

We need to ensure that the length of the rectangular piece of fabric is not less than the circumference of the circular piece of fabric required. That is;

L ≥ Circumference of circular piece of fabric required

L ≥ 11.5 feet × 12 inches / foot = 138 inches

Thus, the shortest length of fabric is 138 inches.

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Answer:

Answer below

Step-by-step explanation:

2.08

2.082

2.8

2.82

√8 (it's 2.8284)

Answer:

let me know if im incorrect!

Step-by-step explanation:

2.082, 2.08, 2.8, 2.82, 8 squared (2.828)

1, p H of soap can be significantly higher or lower due to alkaline or acidic substances. Maintaining desired p H range is important. 2, Adding salts can lead to hardness in water, affecting soap's lathering and cleaning effectiveness. 3, Acids and bases can alter soap's p H, impacting its cleaning properties and skin compatibility. 4, Impurities in soap can cause skin irritation. Low % yield indicates process inefficiencies, while excess yield leads to wastage.

1, The p H of quality soap can be significantly higher or lower due to several factors. Higher p H may result from the presence of alkaline substances or excess lye in the soap formulation. Lower p H may be caused by acidic additives or impurities in the soap ingredients. It is important to maintain the p H within the desired range of 8.5-9.5 for optimal performance and skin compatibility.

2, Adding salts to soap solutions can affect their properties in a home setting. Some salts can cause hardness in water, leading to reduced lathering and cleaning effectiveness of the soap. In the bathtub or shower, this can result in soap scu m, difficulty rinsing, and decreased foam formation. It may be necessary to use water softeners or choose soap formulations specifically designed for hard water conditions.

3, The addition of acids and bases to soap solutions can alter their p H and affect their performance. Acidic substances can lower the p H, potentially making the soap more effective in removing certain types of dirt or stains. Bases can raise the p H, which may enhance the soap's ability to emulsify oils and fats. However, extreme p H levels can also lead to skin irritation or damage, so careful formulation and testing are crucial.

4, Possible impurities in soap can include residual chemicals from the manufacturing process, contaminants in the raw materials, or unintentional reactions during production. These impurities can impact the use of the soap for washing the body.

They may cause skin irritation, allergies, or other adverse reactions. To ensure the safety and quality of the soap, rigorous quality control measures and adherence to good manufacturing practices are necessary.

Regarding % yield, if the yield of soap is low, it indicates inefficiencies in the soap-making process. To improve the yield, factors such as accurate measurement of ingredients, optimizing reaction conditions, and minimizing losses during production need to be addressed.

On the other hand, if the yield is too high, it may indicate excessive amounts of ingredients, resulting in wastage and increased production costs. Finding the balance between optimal yield and cost-effectiveness is essential for soap production.

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Answer:

Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units

Step-by-step explanation:

Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:

In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of .

In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of .

In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of .

In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of , which means that this is the correct option.

answer:

is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!

Answer:

a) 1/(7x-14)

b) 2 (36-y^2)

Step-by-step explanation:

Please let me know if you need explanation

Answer: You will need 250 boxes of popcorn to meet your $300 goal.

Step-by-step explanation:

Answer:

5 boxes of popcorn makes 300 usd

Step-by-step explanation:

A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.54.

An 11.3-ounce package costs $2.54.

Cost of 11.3 ounce package = 2.54

Then cost of 1 ounce = 2.54/ 11.3

Cost of 1 ounce = $ 0.224

A 27.8-ounce package costs $6.78.

Cost of 27.8 ounce package = 6.78

Cost of 1 ounce = 6.78/27.8

Thus, cost of 1 ounce = 0.24388

As, 0.224 is less than the 0.24388

But for 11.3 ounces it take $2.54 and with 0.24388 per price it take 2.755

Thus, 0.224 cost less

Answer :

Unit price for the 11.3-ounce package $0.22 per ounce

Unit price for the 27.8-ounce package $0.24 per ounce

The 11.3 ounce package

Answer:

$1,931.41

Step-by-step explanation:

Subtract the starting date CPI from the later date CPI and divide your answer by the starting date CPI. Multiply the results by 100. Your answer is the inflation rate as a percentage.

Answer:

x is 38°

Step-by-step explanation:

180° - 142° = 38°.

Hope this will help❤️

omg what is the......................

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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False. The set {3,0,8} is a subset of the set A, but it is not equal to the set A. the set A is defined as {6,4,1,{3,0,8},{9}}. The set {3,0,8} is a subset of the set A,

because it contains all of the elements of the set {3,0,8}. However, the set {3,0,8} is not equal to the set A, because it does not contain the elements 6, 4, 1, or 9. Therefore, the statement {3,0,8} CA is false.

To further explain, a subset is a set that contains all of the elements of another set. In this case, the set {3,0,8} contains all of the elements of the set A. However, a set is not equal to its subset. In this case, the set {3,0,8} is a subset of the set A, but it is not equal to the set A.

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Answer:

x<19

Step-by-step explanation:

Answer:

157.98  \(in^2\)

Step-by-step explanation:

Given: volume of pyramid is equal to 100 cubic inches and height of the pyramid is 5 inches

To find: surface area of the pyramid

Solution:

Let h denotes the height of the pyramid and 'a' denotes side of the square base of the pyramid.

Volume of the pyramid = \(\frac{1}{3}a^2h\)

Also,

Volume of the pyramid = 100 cubic inches

\(\frac{1}{3}a^2h=100\\\frac{1}{3}a^2(5)=100\\a^2=\frac{100\times 3}{5}=60\\a=\sqrt{60}\)

Surface area of the pyramid  \((S) =a\sqrt{4h^2+a^2}+a^2\)

So,

\(S=\sqrt{60}\sqrt{100+60}+60\\=\sqrt{60}\sqrt{160}+60\\=\sqrt{9600}+60\\=97.9796+60\\=157.9796\\\approx 157.98\)

Surface area = 157.98  \(in^2\)

Answer:

Surface area of the pyramid = 157.99 in²

Step-by-step explanation:

Volume of a pyramid is given by the formula,

Volume = \(\frac{1}{3}(\text{Area of the base})\times \text{height}\)

100 = \(\frac{1}{3}\text{(Side)}^{2} \times \text{height}\)

300 = s² × 5

s² = 60

s = √60

s = 2√15 in ≈ 7.746 in

Now surface area of the pyramid = Area of base + 4×(Area of one lateral side)

Area of square base = (Side)² = 60 in

Area of one lateral side = \(\frac{1}{2}(\text{Base})(\text{Lateral height})\)

Since Lateral height = \(\sqrt{(h)^{2}+(\frac{S}{2})^{2}}\) [By applying Pythagoras theorem in the given triangle]

                                  = \(\sqrt{(5)^{2}+(3.873)^{2}}\)

                                  = \(\sqrt{25+15}\)

                                  = \(\sqrt{40}\)

                                  = 6.325 in.

Now area of lateral side = \(\frac{1}{2}(7.746)(6.325)\)

                                        = 24.497 in²

Surface area of the pyramid = 60 + (4×24.497)

                                               = 60 + 97.987

                                               = 157.987 in²

                                               ≈ 157.99 in²

If a least square regression line fits the data well, the characteristic should the residual plot exhibit is random scatter

The least squares regression line fits the data well.

The least squares regression is defined as the method that used to find the regression line or best suitable line for the given pattern

So if the data shows a linear relationship between the two given variable so such line will be called least squares regression line

The residual plot is the measure that vertical line how much misses from the data point

Here the least square-square regression lines fits the data well so the characteristics will be random scatter

Therefore, the characteristic that the residual plot exhibit is random scatter

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Answer:

       \(\frac{2}{7}\)

Step-by-step explanation:

3.5 = \(\frac{7}{2}\)

swap the numerator and denominator (flip the fraction):

reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)

The area of the square enclosure is calculated as Area = AB² = 5² = 25 square units.

To find the length of the fourth side of the square, find the distance between points C(7,4) and D(x,y). AB and CD are parallel and perpendicular to each other, so they have the same length. Hence,

AB = CD = √((4-0)² + (0-3)²) = 5

Using this distance to find coordinates at point D:

D(x,y) = A(0,3) + (-5,-5) = (-5,-2)

Now to find the length of each side of the square:

AB = CD = √((4-0)² + (0-3)²) = 5

BC = AD = √((7-4)² + (4-0)²) = 5

Therefore, the area of the square enclosure is:

Area = AB² = 5² = 25 square units.

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Answer:

x = -∛115

Step-by-step explanation:

x^3 - (-115) = 0

= x^3 + 115

Factoring

(a+b) • (a^2-ab+b^2) =

   a^3-a^2b+ab^2+ba^2-b^2a+b^3 =

   a^3+(a^2b-ba^2)+(ab^2-b^2a)+b^3=

   a^3+0+0+b^3=

   a^3+b^3

(115 isn't a cube.)

Polynomial roots

P: -1, -5, -23, -115, 1, 5, 23, 115

Q: 1

P/Q: -1, -5, -23, -115, 1, 5, 23, 115

Divisor(s): None

In these sets of data, there are no rational roots shown.

Step-by-step explanation(part 2):

x^3 + 115 = 0

x^3 = -115

x  =  ∛-115

Negative numbers will always have real cube roots.

∛ -115 = ∛ -1 × 115  = ∛ -1 × ∛ 115 = (-1) × ∛ 115

Therefore,

x = -∛115

Answer:

119

Step-by-step explanation:

I did the math on a calculator

Answer:

(0 ; 1)

Step-by-step explanation:

Have a great day

Answer:

The y-intercept of this line is 1.

Step-by-step explanation:

You can tell by looking at the y-axis (vertical line.)

Answer:

.10 + 11u or 11u + 10

Step-by-step explanation:

combine like terms:

. 5u + 6u = 11u

. 9 + 1 = 10

Answer:

10+11u

Step-by-step explanation:

9+5u+6u+1

1. add the numbers that are the same. 9+1= 10

2.do the same thing to the other number(s) 5u+6u= 11u

3. add both you're answers together 10+11u