Can somebody help me find y

Answer:

You get to keep $615.

Step-by-step explanation:

We need to know what 18% of $750 is

18% is the same as 0.18

0.18 times 750 = 135

Subtract 135 from 750 to see how much you get to keep

750 - 135 = 615

Your parents take $135, and you get to keep $615.

Answer:

the slope of line is -8/5.

Step-by-step explanation:

here x1=1. y1=4

x2=6. y2=-4

we know that slope of line =y2-y1/x2-x1

=-4-4/6-1

=-8/5

here the slope of line is -8/5

Answer:

4/9

Step-by-step explanation:

The gradient of the perpendicular line is -1/m

The perpendicular to a given slope is its negative reciprocal. This means the fraction is flipped and multiplied by −1.

The difference between groups and the sample size makes the results of a study statistically significant.

Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:

The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.

The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.

The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.

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The volume of the jewelry box is 60 1/2 cubic inches.

The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:

Area = (5 1/2) × (5 1/2) = 30 1/4 square inches

The height of the box is 2 inches.

Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:

Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches

Thus, the volume of the jewelry box is 60 1/2 cubic inches.

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The rate at which Riya is applying the mulch to the garden is 250000:1.

It should be noted that rate is simply used to show the relationship between two things. A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the dependent variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

Per unit of time is a frequent sort of rate, and examples include speed, heart rate, and flux. Exchange rates, literacy rates, and electric field ratios are examples of ratios with a non-time denominator (in volts per meter).

From the information, Riya is applying mulch to the garden and she applied at a rate of 250000cm³ for every m² of space.

Therefore, the rate at which Riya is applying the mulch to the garden is 250000:1.

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Answer:

To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.

Step-by-step explanation:

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Answer:

The ratios 2.56/32 and 0.48/6 are equivalent; y = 0.08x.

Step-by-step explanation:

$2.56 for 32 oz is a unit price of $2.56/(32 oz) = $0.08/oz

$0.48 for 6 oz is a unit price of $0.48/(6 oz) = $0.08/oz

The unit prices are equal, so the cost of both sizes are proportional.

If x is the weight in oz, multiply the weight by 0.08 to get the cost, y, in dollars.

y = 0.08x

The ratios 2.56/32 and 0.48/6 are equivalent; y = 0.08x.

The unit vectors that satisfy the stated conditions,

(a) Same direction as -2i + 9j: -2/√85 i + 9/√85 j

(b) Oppositely directed to 10i – 5j + 20k: -10/√525 i + 5/√525 j - 20/√525 k

(c) Same direction as vector AB: 4/√21 i + 2/√21 j - 1/√21 k

(a) To find a unit vector in the same direction as -2i + 9j, we first need to find the magnitude of -2i + 9j, which is √( (-2)² + 9² ) = √85. Then, to get a unit vector in the same direction, we divide by the magnitude: (-2/√85)i + (9/√85)j.

(b) To find a unit vector oppositely directed to 10i - 5j + 20k, we first need to find the magnitude of 10i - 5j + 20k, which is √(10² + (-5)² + 20²) = √(645). Then, to get a unit vector in the opposite direction, we negate each component and divide by the magnitude: (-10/√645)i + (5/√645)j - (20/√645)k.

(c) To find a unit vector in the same direction as the vector from A(-2,0,3) to B(2,2,2), we subtract the coordinates of A from B to get the vector AB: (4,2,-1). Then, we find the magnitude of AB: √(4² + 2² + (-1)²) = √21. Finally, to get a unit vector in the same direction, we divide AB by its magnitude: (4/√21)i + (2/√21)j - (1/√21)k.

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The ordering of the numbers will be 1.25, 1 3/8, ✓2, 1 3/5 and 1.875.

It should be noted that ✓2 = 1.414

It should be noted that 1 3/8 = 1.375

It should be noted that 1 3/5 = 1.6

The other numbers given are 1.25 and 1.875

Therefore, the ordering of the numbers will be 1.25, 1 3/8, ✓2, 1 3/5 and 1.875.

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The area of the patio is 192 \(m^{2}\)

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area.

Length of swimming pool=18 m

Width of swimming pool=8 m

Area of swimming pool= 18*8 = 144\(m^{2}\)

Width of patio=3m

Total length of swimming pool=18+2(3)=24 m

Total width of swimming pool=8+2(3)=14 m

Total area=24*14=336 \(m^{2}\)

Area of patio= total area - Area of swimming pool

                     =336-144

                     =192 \(m^{2}\)

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Answer:

MN = 6

This is because the shapes are dialations of each other

So PO and ML are the same side of the triangles but ML is dialated by a factor of 3.5 so that applies to the whole shape. So 21/3.5 = 6

Answer:

15

Step-by-step explanation:

x/3 + 3 = 8

x/3 + 9/3 = 8

x + 9 = 24

x = 15

Answer:

Infinite solutions

Step-by-step explanation:

3h-8h+10=10-5h

-5h+5h=10-10

0=0

Infinite solutions

Answer:

This should be the correct answer.

Answer:

$3

Step-by-step explanation:

20 - 20 (85%)

= 20 - 17

= 3

Answer:

8

Step-by-step explanation:

0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

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Using cosine rule and sine rule, the angles In the triangular garden are

The angles are found using the dimensions,

The angles are found first using cosine rule by the formula

cos c = (AC² - AB² - BC²) ÷ 2 * AB * BC

Solving for the largest angle

substituting the values

cos γ = (15² - 8² - 10²) ÷ 2 * 8 * 10

< γ = arc cos ( 0.38125 )

< γ = 67.59 degrees

Solving for the smallest angle

using sin rule

sin α / BC = sin γ / AC

sin α / 8 = sin 67.59 / 15

sin α =  8 * sin 67.59/15

α = arc sin 0.6285

α = 38.94 degrees

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The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Considering the figure < 5 is solved to be 112 degrees by corresponding angle postulate

According to the corresponding angles postulate, two lines are parallel if they are sliced by a transversal and the corresponding angles are congruent.

In other words, if a line (the transversal) crosses two lines, and the angles created on one side of the transversal are equal to the angles created on the other, then the two lines being crossed are parallel.

According to the figure the two angles < 5 and < 112 are corresponding angles and hence they are congruent

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a. If we can choose any character as many times as we want, then there are 62 possible characters with 16,132,832 possible usernames.

b. If there is no further restriction on the third and fourth characters and the same letters/numbers/symbols can be used more than once there will be 483,880 possible usernames.

c. There will be  1,382,400 possible passwords if there is no further restriction on the third and fourth characters but every character must differ from each other.

d.  the probability of guessing correctly is 1/40 or 0.025.

(a) If we can choose any character as many times as we want, then there are 62 possible characters (26 uppercase letters + 26 lowercase letters + 10 digits + 5 symbols), and we need to choose 5 of them. Using the formula for combinations with repetition, we have:

62^5 = 916,132,832 possible usernames.

(b) There are 26 choices for the first character (since it must be an uppercase letter), 5 choices for the second character (since it must be a number), and 5 choices for the last character (since it must be a symbol). For the third and fourth characters, we have 62 choices each (since we can use any character).

Using the multiplication principle, we have:

26 × 5 × 62 × 62 = 483,880 possible usernames.

(c) There are 26 choices for the first character, 10 choices for the second character (since it must be a different digit), and 60 choices for the third character (since it must be a different character than the first two).

For the fourth and fifth characters, we have 4 choices each (since they must be the same symbol, and there are 5 symbols to choose from but one has already been used). Using the multiplication principle, we have:

26 × 10 × 60 × 4 × 4 = 1,382,400 possible passwords.

(d) The probability of guessing correctly is the reciprocal of the number of possible passwords that satisfy the given criteria. The first character is fixed, so we have 1 choice. The second character must be an odd number, so we have 5 choices (1, 3, 5, 7, or 9).

The third character must be a number greater than 7, so we have 2 choices (8 or 9). The fourth and fifth characters must be the same symbol, and we know that one symbol has already been used, so we have 4 choices. Using the multiplication principle, we have:

1 × 5 × 2 × 4 = 40 possible passwords that satisfy the given criteria.

Therefore, the probability of guessing correctly is 1/40 or 0.025.

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The coordinates of point K' will be (3,-1) after the transformation which is the correct answer would be an option (D).

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Triangle JKL will be translated 3 units left, and 2 units down, and then referred over the x-axis to form J’K’L

the coordinates of point J :(1,3)

the coordinates of point K :(6,3)

the coordinates of point L :(6,8)

After the translation, the coordinates of point K will be (3,1).

After being reflected over the x-axis, the coordinates of point K' will be (3,-1).

Thus, the correct answer would be option (D).

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Answer: The first is when we have what is called infinite solutions. This happens when all numbers are solutions. The equation 2x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions. ...

Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.

Standard Deviation:

Standard deviation is  a measure of the dispersion of a set of numerical values from their mean.

The general form of the standard deviation is,

\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)

where

xi is each value in the data set,

x-bar is the mean, and

n is the number of values in the data set.

Given,

Mean = 21.

Standard deviation = 5

Wayne's standardized score on the act = −0.6 .

Here we need to find the Wayne's Actual ACT score.

Let x be the Wayne's Actual ACT score.

So,
=> z-score = (x - mean)/SD

Apply the values on it,

=> -0.6 = (x - 21) / 3

=> -1.8 = x - 21

=> x = 21 - 1.8

=> x = 19.2

Therefore, Wayne's Actual ACT score is 19.2

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5555555555555555555555555555555

Answer:

it will be 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given is the quadratic function

In order to have two real roots the discriminant should be posivive

We need D > 0

There is no solution as b² is never negative

Answer:

Lisa is 5 years old

Step-by-step explanation:

we can make an equation like

4x=15+x

X can represent Lisa’s current age

Now just solve for X

3x=15

x=5

And we can check

If Lisa is 5 years old now

In 15 years she would be 20

And 20 is 4 times as 5 which Is her current age

So Lisa is 5 years old now.