HELPPPPPPPP NUMBER 7

Answer:

Step-by-step explanation:

\(x^{2} + 6x-6= 10\\x^{2} +6x-16=0\\x^{2} -2x+8x-16=0\\x(x-2)+8(x-2)=0\\(x-2)(x+8)=0\\x = 2\\or\\x = -8\)

Answer:

X = 2 and X = -8

Step-by-step explanation:

X2 + 6X - 6-10 = 0 ....... when +10 pass the equality sign it will become -10

X2 + 6X -16 =0

here we need to find if there are two numbers there sum is +6 and there product is -16.

here we need to find if there are two numbers there sum is +6 and there product is -16.The two numbers are -2 and +8

-2+8= +6

-2*8= -16

( X - 2 ) * ( X + 8 ) =0

X - 2 = 0 ...... when -2 pass equality sign it will become+2

X = 2

X + 8 =0 ..... when +8 pass equality sign it will become -8

X = -8

Answer:

range = 7.87

X = 62.12, X²= 164.3516

mean = 1.2424

variance = 1.779

standard deviation = 1.33379

coefficient of variation = 107.3559%

Step-by-step explanation:

a.) The range =

highest number - lowest number

= 7.89 - 0.02

= 7.87

b.) from the attachment I solved for X and X²

∑X = 62.12

∑X² = 164.3516

c.)

the mean = ∑x/n

n = 50

= 62.12/50

= 1.2424

variance =

σ² = [∑x²-(∑x)²/n] / n-1

= [164.3516 - (62.12)²/50] / 50-1

= 164.3516 - 77.17788/49

= 87.173712/49

= 1.779

standard deviation = √σ

= √1.779

= 1.33379

d. coefficient of variation

= σ/mean * 100

= 1.33379/1.2424 * 100

= 107.3559

This number tells us that the the standard deviation of the time to failure is larger than the average time. option 3 is the correc4 answer here

A) The range of the given values is; 7.87

B) The values of  ∑X and ∑X²  are respectively; 62.12 and 164.3516

C) The values of the sample mean, variance and standard deviation are respectively; 1.24, 1.78 and 1.334

D) The coefficient of variation is; 107.356

A) Formula for range is;

Range = Highest term - Lowest term

Range = 7.89 - 0.02

Range = 7.87

B) Sum of all the given 50 epoxy samples is gotten to be;

∑X = 62.12

From online statistics calculator, we have; ∑X² = 164.3516

C) Formula for sample mean here is;

x' = ∑x/n

x' = 62.12/50

x' = 1.24

Formula for variance is;

σ² = [∑x² - [(∑x)²/n]]/(n - 1)

σ² = (164.3516 - (62.12²/50))/(50 - 1)

σ² = 1.78

Formula for the standard deviation is;

σ = √variance = √1.78

σ = 1.334

D) Formula for coefficient of variation is;

CV = (σ/x') * 100

CV = (1.33379/1.2424) * 100

CV = 107.356

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The price of the bed after mark up is $475.00

Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.

The first discount given is 25% , therefore the price of the bed before mark up is

25/100 × 800

= 25×8

= 200

the price before mark up = 800-200 = $600

Another 25% is given after the first sale, there the price of the bed after mark up is

25/100 × 600

=$ 125

price after markup = 600-125

= $475.00

therefore the price of the bed after markup is $475.00

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Answer:

9 oz I think not entirely sure

There are three area options for the number of bricks:

The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:

n = A / A'

A' = w · h

Where:

There are three possible answers:

Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm

A' = 22.5 · 10

A' = 225

n = 93750 / 225

n = 416.667

n = 416

Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm

A' = 22.5 · 7.5

A' = 168.75

n = 93750 / 168.75

n = 555.556

n = 555

Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm

A' = 10 · 7.5

A = 75

n = 93750 / 75

n = 1250

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Answer:

5

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

The point at (60, 55) represents an item with an original price of $60 that is now being sold at a sale price of $55.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The point at (60, 55)

Now,

This means that customers who enter the special discount code can save $5 on this particular item.

In general, the point (x, y) on the graph represents an item with an original price of x dollars that is being sold at a sale price of y dollars. The graph is showing how the sale price of items changes as the original price increases.

Therefore, by the graph the answer will be $60 and $55.

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Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

Answer:

72 degrees

Step-by-step explanation:

Answer:

\(10 + 2.50 w > 50\)

Step-by-step explanation:

Given

\(Start =10\)

\(Rate = 2.50\)

Total = More than 50

Required

Represent as an inequality

Represent the weeks with w.

So, his savings in w weeks is:

\(Savings = Start + Rate * w\)

\(Savings = 10 + 2.50 * w\)

\(Savings = 10 + 2.50 w\)

His saving is expected to be more than 50.

More than, here means greater than (>)

So, we have;

\(Savings > 50\)

\(10 + 2.50 w > 50\)

The side length of the the rectangular garden are 20 feet by 5 feet.

Let

s = side length of the square garden

l = length of the rectangular garden

w = width of the rectangular garden

From the problem statement,

area of the square garden = area of the rectangular garden

Since the area of a square is just the side length squared, we can write:

s² = l * w

We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:

l = s + 10

w = s - 5

Now we can substitute these expressions for l and w into our first equation:

s² = (s + 10) * (s - 5)

Expanding the right-hand side, we get:

s² = s² + 5s - 50

0 = 5s - 50

5s = 50

Dividing both sides by 5, we get:

s = 10

Since the side length of the square garden is 10 feet.

We can use this to find the dimensions of the rectangular garden:

l = s + 10 = 10 + 10 = 20

w = s - 5 = 10 - 5 = 5

So the dimensions of the rectangular garden are 20 feet by 5 feet.

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The input value that produces the same output value for the functions f(x) and g(x) is x = -1.

To find the input value that produces the same output value for the functions f(x) and g(x), we need to compare the corresponding values in the tables for both functions.

Looking at the table for f(x), we see that the output value -1 is listed in the column for f(x) when x = -1.

In the table for g(x), we find that the output value -1 is also listed in the column for g(x) when x = -1.

Since both functions have the same output value (-1) for the input value x = -1, we can conclude that x = -1 produces the same output value for f(x) and g(x).

Therefore, the correct answer is x = -1.

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Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer:

-8

Step-by-step explanation:

any number divided by a nega is going to be neg if it is multiplied by two nega's its positive.

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

Its is the second one

Step-by-step explanation:

Remember: rise over run

The b of the equation is -2 because that is how far it goes down on the y axis.

The slope is 3x.

Put the slope like this 3/1= rise/run

Sorry for the delayed response!  

Answer:

8

Step-by-step explanation:

160×5%

\(\frac{160 * 5}{100}\) = 8

The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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Answer:

it's decimal value then it is 11.1803399.

The integer close to it is 11

Step-by-step explanation:

let's square this :

4² × 5 = 16 × 5 = 80

the closest squared integer is 81 (9²).

so, the closest integer to 4×sqrt(5) is 9.

When the figure passed through the transformations the image formed is similar to the image at B as attached

The figure is in the second quadrant

clockwise rotation 90degrees about the origin will being the figure to the first quadrant

Translation 9 units down will bring an image to the -6 of the y direction in the fourth quadrant

reflection over the y axis will create a mirror image of the figure and make the image at the third quadrant

The option B correctly shows the final image

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Clarice did not verified the answer to verify the check should be 5×\(1\frac{1}{2}\) = \(7\frac{1}{2}\)

A division is a process of splitting a specific amount into equal parts.

Given,

\(7\frac{1}{2}\)÷\(1\frac{1}{2}\)

15/2÷3/2

When fraction is divided by fraction the denominator turns to reciprocal and multiplied with numerator

15/2×2/3=5

Clarice did not verified the answer

5×\(1\frac{1}{2}\) should be equal to \(7\frac{1}{2}\)

Hence, Clarice did not verified the answer to verify the check should be 5×\(1\frac{1}{2}\) = \(7\frac{1}{2}\)

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Therefore , the solution of the given problem of probability comes out to be there is a 0.44 percent chance of choosing a lady.

A procedure's criteria-based systems' main objective is to ascertain the likelihood that an assertion is accurate or that a particular event will take place. Chance can be represented by any number range between 0 and 1, where 0 is commonly used to indicate the possibility of something may be and 1 is usually employed to indicate a degree of confidence. A probability diagram shows the likelihood that a particular occurrence will occur.

Here,

By adding the probabilities of selecting a woman from each squad, weighted by the probabilities of selecting each team,

we can use the law of total probability to determine the likelihood of selecting a woman:

=> Woman = P(Red) * P(Woman from Red) + P(Blue) * P(Woman from Blue) + P(Yellow) * P(Woman from Yellow)

=>  P(Woman) = 0.2 + 0.12 + 0.12 P(Woman) = 0.44 P(Woman) = 0.4 * 0.5 + 0.4 * 0.3 + 0.2 * 0.6

As a result, there is a 0.44 percent chance of choosing a lady.

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Answer: Yes

Step-by-step explanation:

Use the Triangle Inequality:

5+7 > 9

7+9 > 5

5+9 > 7

All 3 statements are true, so 5, 7, 9 could be the sides of a right triangle

The inequality that best represents the purchase made by Gabriela, given the number of hand soaps and lotions purchased, is x + y > 12

Gabriela bought more than 12 bottles of hand soaps and lotions which simply means that the total number of these items that Gabriela bought as more than  12 bottles when added together.

The inequality would therefore be:

Number of hand soaps + Number of lotions > 12

Assuming the number of hand soaps is x and the number of lotions is y, the inequality would be:

x + y > 12

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Answer:

$1516

Step-by-step explanation:

$78,832 / 52 weeks = $1516 per week

-If Lana worked every week of the year with no vacation with only weekends as a break.

Answer:

Lana earns $1,511.85

Step-by-step explanation:

There are 52.1429 weeks in a year, you would divide the amount of money ($78,832) by the amount of weeks in a year (52.1429).

$78,832÷52.1429=1511.845333

Which rounded equals $1,511.85

f is onto the set of all binary strings:

This statement is false for the same reason as (e). The range of f is limited to a subset of all binary strings.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

a. The cardinality of the set {u | f(u) = u} is 1:

This statement is true because f(u) returns only the first third of the input string u. Therefore, if f(u) = u, then the second and third thirds of the string u must be empty, and hence u must consist entirely of the first third, which means there can be only one such string.

b. f is a total function:

This statement is false because not all binary strings can be decomposed into three parts with the described property. For instance, a binary string of length 5 cannot be decomposed in this way.

c. If |u| = 24, then f(f(u)) is not defined:

This statement is false. If |u| = 24, then u can be decomposed into three parts with 8 bits in each part. Therefore, f(u) will return the first 8 bits of u, which can be decomposed into three parts with 2, 3, and 3 bits, respectively. Therefore, f(f(u)) will return the first 2 bits of the first third of u, which is well-defined.

d. f is an injection:

This statement is false. Since f only returns the first third of its input, there can be multiple inputs that yield the same output.

e. The range of f is the set of all binary strings:

This statement is false. The range of f only consists of binary strings that are the first third of some input string that can be decomposed as described.

f. f is onto the set of all binary strings:

This statement is false for the same reason as (e). The range of f is limited to a subset of all binary strings.

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Answer:

put your equation into fractions and then see what or which 1mathces with the image

Step-by-step explanation:

Incremental cash flows associated with the donation of a valuable painting from a corporation's private collection may include It's important to note that any direct costs associated with the donation.

Tax benefits: The corporation may be eligible for tax deductions or credits for charitable donations, which could result in a reduction in its tax liability and generate cash flow savings.

Opportunity cost: If the corporation could have sold the painting instead of donating it, the incremental cash flow would be the potential proceeds from the sale.

Storage and maintenance cost savings: By donating the painting to the art museum, the corporation no longer has to incur expenses for storing, insuring, and maintaining the artwork, resulting in cost savings.

Public relations and marketing benefits: Donating the painting can enhance the corporation's reputation and generate positive publicity, potentially leading to increased customer goodwill and brand value, which can translate into future cash flows.

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Answer:the first one

Step-by-step explanation:

Answer:

B) 39x - 11 = 2(17x + 6)

Step-by-step explanation:

I took the quiz.

The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.

We have,

To find the angle opposite to side BC in triangle ABC, we can use the Law of Cosines.

The Law of Cosines states that in a triangle with sides of lengths a, b, and c, and the angle opposite to side c being denoted as C, the following equation holds:

c² = a² + b² - 2ab x cos(C)

In this case,

Side a is BC with length 12, side b is AC with length 20, and side c is AB with length 11. We want to find the angle C, which is opposite to side BC.

Plugging the given values into the Law of Cosines equation:

11² = 12² + 20² - 2 x 12 x 20 x cos C

121 = 144 + 400 - 480 x cos C

121 = 544 - 480 x cos C

480 x cos C = 544 - 121

480 x cos C = 423

cos C = 423/480

Now, we can find the angle C by taking the inverse cosine (arccos) of (423/480):

C = arccos(423/480)

Using a calculator, we find that C is approximately 38.213 degrees.

Therefore,

The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.

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