simplify (5/3-7/4)+√1/16+√1/9

Answer:

62

Step-by-step explanation:

180-116 makes us find out that angle C is 64, thus to find out the inner angles you gotta do 64+ (2x+4)+(3x-13)=180

You follow this operation, find out x and perform 3(25)-13, which ends up giving you 62

Answer:

62°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is not sharing a common side

2x + 4 + 3x - 13 = 116° add like terms

5x - 9 = 116°

5x = 125° divide both sides by 5

x = 25 and angle A is 3x - 13 so 3×25 - 13 = 62°

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:X=17

Step-by-step explanation:

Im not 100% sure

Answer: True

Explanation: The domain of a quadratic function in standard format is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

Linear function is almost always going to be all real numbers. The range of a non-horizontal linear function is all real numbers no matter how flat the slope might look.

9514 1404 393

Answer:

  2×10⁻¹

Step-by-step explanation:

The place values in our decimal number system can be thought of as powers of 10 that increase from 0 going left from the ones place. The sequence of powers of ten continues to decrease to the right of the decimal point. The first place right of the decimal point has a place value of 1/10, or 10^-1. The next place to its right has a place value of 1/100, or 10^-2.

So, the decimal number 2/10 = 0.2 is 2×1/10 = 2×10^-1.

Answer:

Step-by-step explanation:

the scientific notation is 2 x 10^-1

Answer:

4500

Step-by-step explanation:

250 x 18 = 4500

Answer:

27

Step-by-step explanation:

The area of this parallelogram is its base times height. 6x4.5 is 27.

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Answer: -6x(x^4 + 4)

Step-by-step explanation:  factor the -6 out of the problem

Answer:

75%

Step-by-step explanation:

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

16 11/20

Step-by-step explanation:

5 3/4 = (4 x 5 + 3)/4 = 23/4 kg

3 1/5 = (5 x 3 + 1)/5 = 16/5 kg

7 3/5 = (5 x 7 + 3)/5 = 38/5 kg

23/4 + 16/5 + 38/5

23/4 = (23/4) x (5/5) = 115/20

16/5 = (16/5) x (4/4) = 64/20

38/5 = (38/5) x (4/4) = 152/20

115/20 + 64/20 + 152/20 = 331/20 kg

331/20 = 16 11/20

Answer:

197.92 in^2 or 198 in^2

Step-by-step explanation:

Helena needs to cover the top and bottom so do the formula 2\(\pi\)\(rh\)

we know:

height  = 14 inches

diameter = 4.5 inches

radius = diameter / 2

radius = 4.5/2

radius = 2.25

Now plug the values into the formula.

2\(\pi\)\(rh\)

2\(\pi\)(2.25) (14)

6.28 (2.25) (14)

14.14 (14)

= 197.92 in^2 ---> 198 in^2

The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer:

100 degrees

Step-by-step explanation:

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yo~ Sorry I just needed the points

Answer:

  300°

Step-by-step explanation:

The reverse bearing is different by 180°. It will be ...

  Q from P = (120° +180°) = 300°

_____

Additional comment

Bearings are always in the range 0 to 360° (not including 360°). That means the reverse bearing will be the original less 180° when the original is 180° or more. It will be the original plus 180° when the original is less than 180° (as here).

\(15 \div 3( - 2) + | - 10| \\ 5( - 2) + 10 \\ - 10 + 10 \\ 0\)

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By doing some mathematical operations, the cost of each bag will be $5.33 and each ingredient in the batch will be:

So, 1 batch contains:

Then, each ingredient in the batch:

Cost of each bag:

Therefore, by doing some mathematical operations, the cost of each bag will be $5.33 and each ingredient in the batch will be:

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Answer:

About 90 seats per section.

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Answer:

y=-5x+5

Step-by-step explanation:

The triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

The reflection does not change the shape and size of the geometry. But flipped the image.

The triangle ΔXYZ is reflected across the line AB to get the tringle ΔX'Y'Z'.

The diagram is given below.

A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.

Thus, the triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

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Answer:

It has to be x - 9= 27

so it can be x=36

Answer:

The value of y is 4.

Step-by-step explanation:

Note the system of equation:

x + y = 24

5y = x

First, plug in 5y for x in the first equation:

x + y = 24

(5y) + y = 24

Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:

(5y + y) = 24

(6y) = 24

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:

(6y)/6 = (24)/6

y = 24/6 = 4

Now, plug in 4 for y in one of the given equations in the system of equation:

x + y = 24

x + (4) = 24

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:

x + 4 = 24

x + 4 (-4) = 24 (-4)

x = 24 - 4

x = 20

x = 20 , y = 4

~

Check. Use the other equation. Plug in 4 for y, and 20 for x:

5y = x

5(4) = (20)

5 * 4 = 20

20 = 20 (True)

~

The value of y is 4.

Answer:

64.00 was incressed

Step-by-step explanation:

Answer:

about 51-52 percent should be the answer

Step-by-step explanation:

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The equation y=5/4x i.e., option (C) models the time Bobby spends on building birdhouses.

GIVEN:

x is the time bobby spends building birdhouses

y is the number of birdhouses he builds

STEPS:

If Bobby builds 5 houses in 4 hours then,

In 1 hour he builds 5/4 houses

⇒In x hours no.of houses = (5/4)x

∴equation model for the time taken to build birdhouses is y=(5/4)x

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Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two: , the raw score is relatively lower than the mean.

If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.

A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two:

If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.

To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.

In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.

By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.

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The solutions to the quadratic equation are [−5/2,1/3]. Option A

Given the inequality;

6x^2≥5−13x

First, convert to quadratic equation

\(6 {x}^{2} - 5 + 13x \geqslant 0 \)

No, let's solve the quadratic equation using the factorization method

\(6 {x}^{2} + 13x - 5 \geqslant 0\)

Multiply 6 by -5 and find two factor that their product equals the number and their sum equal 13. Those two number are + 15 and -2

Substitute as 15x and 5

-2x in the inequality, we have;

\(6 {x}^{2} +15x - 2x - 5 \geqslant 0\)

Factor the common multipliers

\(3x(2x + 5) - 1(2x + 5) \geqslant 0\)

We have two expressions, written as;

\((3x - 1) (2x + 5)\geqslant 0\)

Let's solve to get the roots of x

\(3x+ 1 \geqslant 0 \)

\(x \geqslant 1/3\)

\(2x + 5 \geqslant 0\)

\(x \geqslant \frac{ - 5}{2} \)

Thus, the solutions to the quadratic equation are [−5/2,1/3]. Option A

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The area of the figure in this problem is given as follows:

A. 30 in².

The area of a triangle is given by half the multiplication of the base length by the height of the triangle.

Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:

4² + x² = 6²

x² = 36 - 16

x² = 20

x = square root of 20

x = 4.47.

For a right triangle, one side is considered the height of the other, hence the sides are:

Hence the area of the triangle is then obtained as follows:

Area = 0.5 x 4 x 12.47

Area = 25 in².

Which is closest to 30 in².

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