Leila works mowing lawns and babysitting.She earns $8.20 an hour for mowing and $7.90 and hour and babysitting.How much will she earn for 7 hours of mowing and 4 hours of babysitting?

Answer:

280 DB

Step-by-step explanation:

If the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

Sound level is the intensity to measure the sound. Decibels are used to quantify sound levels.

The sound level of a jet plane is expressed according to the expression given:

β = 10log(I/I0)

Given the following parameters

β = 140dB

I0 = 10^-12 W/m²

For required Intensity "I" Substitute:-

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12

I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 dB, the intensity of the sound of a jet plane is approximately 100dB

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The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

⇒ DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

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The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

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

We have to find 3x³-2x²+7x+9 divided by x²-3x

3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.

The steps to solve this are given below.

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

Step 5: Repeat the same process.

Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

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Answer:

(-0.8, 0.2)

Step-by-step explanation:

assuming that the double negative on the x is not a typo.....

if it is the intersection point is (4/7, 1 4/7)

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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Answer:

what does this mean??

Step-by-step explanation:

The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

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The maximum height is 256 feet.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The quadratic equation h = -16t² + 128t + 32 gives the height "h" of the stone as a function of time "t" in seconds.

To find the maximum height, we need to determine the vertex of the parabolic curve represented by the equation.

To find the vertex, we can use the formula:

t = -b / (2a)

where a = -16 and b = 128.

Substituting these values, we get:

t = -128 / (2(-16)) = 4

So the maximum height occurs at time t = 4 seconds.

To find the maximum height, we can substitute t = 4 into the equation:

h = -16(4)²  + 128(4) + 32 = 256

Therefore, the maximum height is 256 feet.

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The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer: 399÷28= 14.25

Step-by-step explanation:

Divide 399 by 28 = 14.25 gal

Sum of triangle: 180

So we know that:

7x + 3x + 8 + x + 7 = 180

Combine like terms:

11x + 15 = 180

11x = 165

x = 15

Plug in for x in order to find the angles.

You should be able to solve from here!

Answer:

  m∠I = 22

  m∠J = 53

  m∠K = 105

Step-by-step explanation:

m∠I = (x + 7)

m∠J = (3x + 8)

m∠K = (7x)

m∠I + m∠J + m∠K = 180°

(x + 7) + (3x + 8) + (7x) = 180

x + 7 + 3x + 8 + 7x = 180

11x + 15 = 180

11x = 165

x = 15

m∠I = 15 + 7 = 22

m∠J = 3(15) + 8 = 53

m∠K = 7(15) = 105

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

we have the following:

therefore, n = 23

the answer is 103/8

Answer:

1 is to 2 is the answer. U.got that

Answer:

Linear correlation exists

Step-by-step explanation:

Given the data :

X : | 2 4 5 6

Y : | 6 9 8 10

Using technology to fit the data and obtain the correlation Coefficient of the regression model,

The Correlation Coefficient, r is 0.886

To test if there exists a linear correlation :

Test statistic :

T = r / √(1 - r²) / (n - 2)

n = number of observations

T = 0.886 / √(1 - 0.886²) / (4 - 2)

T = 0.866 / 0.3535845

T = 2.449

Comparing Pvalue with α

If Pvalue < α ; Reject H0

Pvalue = 0.1143

α = 0.05

Pvalue > α ; We reject the null and conclude that linear correlation exists

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

y equals 2/3 x plus 4 is correct.

The equation y= 1/3x  + 4 represents a linear function.

A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.

1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.

2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.

3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.

4. y= 1/3x  + 4 represents a linear function.

Therefore, the equation y= 1/3x  + 4 represents a linear function.

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Answer:

the value of x is 85

Step-by-step explanation:

x+x+40+2x-20=360

4x=360-20

4x=340

x=340÷4

x=85

Answer:

X+X+40+2x-20=360(being complete angle)

2x+40+2x -20= 360

4x+20=360

4x=360 - 20

4x= 340

X=340÷4

X= 85

now putting the value of X

X+40

85+ 40

125

2x-20

2×85-20

170- 20

150

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Answer:

d

Step-by-step explanation:

1 kg has 1000 g

Then 2,5 kg has 2,5 × 1000 = 2500 g

You can also make a proportion:

1 kg - 1000 g

2,5 kg - x g

Use the property of the proportion to find x (cross-multiply):

x = 2,5 × 1000 / 1 = 2500 g

Answer:

  -25/7

Step-by-step explanation:

The sum of an infinite series with first term 'a' and common ratio 'r' is ...

  S = a/(1 -r)

Your series has a=-5 and r=-2/5, so the sum is ...

  S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7

The sum of the series is -25/7.

Answer:

5 - w does not have a solution of nine.

Step-by-step explanation:

5 - 4 = 1

The perimeter of the regular polygon is 232

The side lengths of the regular polygon are given as

4/3x - 1/3 and x + 7

The sides of regular polygon are equal

So, we have:

4/3x - 1/3 = x + 7

Multiply both sides by 3

4x - 1 = 3x + 21

Collect like terms

4x - 3x = 1 + 21

Evaluate the like terms

x = 22

Substitute x = 22 in x + 7

Side = 22 + 7

Side = 29

The perimeter of the regular polygon is calculated as:

Perimeter = Number of sides x Side length

So, we have

Perimeter = 8 * 29

Evaluate

Perimeter = 232

Hence, the perimeter of the regular polygon is 232

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Answer :Anita's age = 7 years

Basilio's age = 2.5 years

Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

13.5 + 3B + 6B = 36

13.5 + 9B = 36

9B = 36 - 13.5

9B = 22.5

B = 22.5/9 = 2.5

Step 4. Find the value of A

A = 4.5 + 2.5 = 7

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years

Problem

A quadratic function has the form y=ax^2 + bx + c, in which a, b and c are specific numbers and a does not equal 0. Three distinct points on the graph are enough to determine the equation. Suppose that (1,5), (2,10) and (3,19) are on the graph of y =ax^2 + bx + c. Write a system of three variables and three equations.​

Solution

For this case we can find the 3 equations on this way:

(x=1, y=5)

(x=2, y=10)

(x=3, y=19)

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.