7. The height of a candle decreases d centimeters for every hour it burns.
a. Independent Variable:
b. Dependent Variable:

Answer:

(1, - 1 )

Step-by-step explanation:

x + y = 0 → (1)

5x + y = 4 ( subtract 5x from both sides )

y = 4 - 5x → (2)

substitute y = 4 - 5x into (1)

x + 4 - 5x = 0

4 - 4x = 0 ( subtract 4 from both sides )

- 4x = - 4 ( divide both sides by - 4 )

x = 1

substitute x = 1 into (1) and solve for y

1 + y = 0 ( subtract 1 from both sides )

y = - 1

solution is (1, - 1 )

Suppose that the given parallelogram is as follows:

Since opposite angles of a parallelogram are congruent, ∠CDA or ∠D must be congruent to ∠ABC or ∠B. This means that the measure of the angles must be equal.

Therefore, the measure of ∠CDA must also be 64°.

Answer:

\(2\frac{1}{18}\) or 37/18

Step-by-step explanation:

plug in and solve

1/2(1/9) + 2

1/18+2

so depending on the format you want the answer is 2 1/18 or 37/18 or 2.05555555repeating

Hope this helps! :)

Answer:

1.5 million

Step-by-step explanation:

To find this you need to find 60% of the 2.5 million people. To do this, multiply 2.5 million by .6, which is 60% in decimal form, and then you'd get 1.5 million.

The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208,  less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.

We can use the standard normal distribution and z-scores to answer these questions:

P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099

Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.

P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208

Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.

P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228

Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.

P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314

Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.

P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436

Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.

P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464

Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.

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____The given question is incomplete, the complete question is given below:

Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?

Answer:

It has the initial speed of 35 unites and it's slowing down by  4 units per second.

Step-by-step explanation:

s(t)=-4t+35

t is time of seconds while the initial means at t=0

s(0)=35 units

It means that the car is slowing down by this rate.

The correct answer is: B.

If it helped u can u like.

Answer:

$74.00

Step-by-step explanation:

multiply 40 by 0.83=34 add to 40=74

Answer:

700,000, 100+80+2, 9,000

Answer: 2 4 3

Step-by-step explanation:

Answer:

68.09cm²

Step-by-step explanation:

area = √(s * (s - a) * (s - b) * (s - c))

√(21.5* (21.5 - 10) * (21.5 - 14) * (21.5 - 19))

=68.088

*round*

=68.09

Answer: 6, 4.5

Step-by-step explanation:

a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods

a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]

≈ $2,702.83

b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]

≈ $1,155.54

c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7

= $2,800

d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):

a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)

≈ $2,943.07

b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)

≈ $1,233.24

c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7

= $2,800

In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
  Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
  Present value of $400 per year for 7 years at 0% (annuity due): $2,800

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Answer:

p = -7/4 or -1 3/4

Step-by-step explanation:

-1 23/40 = 9/10p

-1 23/40 = -63/40

So, our equation is

-63/40 = 9/10p

Divided both sides by 9/10

p = -7/4

So, the answer is

p = -7/4

or

-1 3/4

Answer:

46.5

Step-by-step explanation:

Of all straight angles have 180 degrees in them.

So, to find x we need to form this equation:

x + 65 + x - 22 = 180

2x + 43 = 180

2x = 180-43

2x = 137

68.5 degrees = x

68.5-22 = 46.5 degrees.

m<CBD = 46.5 degrees.

m<GBF = also 46.5 degrees because it is a vertical angle to <46.5 degrees.

Answer:

84cm

Step-by-step explanation:

Given that;

1cm = 7m

12cm = x

Cross Multiply

x = 12×7

x = 84m

Answer:

b. interaction effect

Step-by-step explanation:

In a regression model, the interaction effect is present when a predictor variable changes the effect of another predictor variable on the outcome.

In a regression model, the interaction effect exists when one predictor variable impacts the outcome of another predictor variable differently than when examined individually. It refers to the interaction between two or more predictor variables and their influencers on an outcome or response variable. For example, in a regression model, studying and having a quiet place may individually contribute to a better score on a test, but perhaps studying in a quiet place provides a significantly better effect than the sum of those two effects separately. This would be considered an interaction effect.

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The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.

What is  Phillips curve?

The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.

According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."

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Therefore , the solution of the given problem of parallelograms comes out to be  x = -1.25.

In Euclidean mathematics, a parallelogram is actually a simple hexagon with two distinct groups and equal distances. A specific kind of quadrilateral called a parallelogram is formed when both sets of sides equally share a horizontal path. Parallelograms come in four different varieties, three of which are mutually exclusive.

Here,

We know that NRTW's opposing sides are parallel and congruent because it is a parallelogram. As a result, we have:

=> NW = TR = 6x - 10.5

and

=> TW = RN = 6x plus 16

Additionally, since we are aware that a parallelogram's diagonals are bisectional, we have:

=> TB = BW + 5.7

=> TB = 6x - 7.7

Let's now construct an equation using the fact that the diagonals intersect at position B:

=>TB + BW =  TW + RN

Inputting the numbers provided yields:

=> 6x - 7.7 + 5.7 = 6x + 16 + 6x - 10.5

When we simplify and find x, we obtain:

=> 6x - 2 = 12x + 5.5

=> -6x = 7.5

=> x = -1.25

However, the problem does not make logic given that this value of x is negative.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

140/350 = 14/35 = 2/5 = 40/100 = 40%

Step-by-step explanation:

I hope this helps

<3

Answer:

It should be it increases, then decreases, but I don't see that option, so I don't know.

Step-by-step explanation:

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Answer: Same Side Interior Angles

Step-by-step explanation:

Imma help you eliminate the options.

-These angles are inside the parallel lines, meaning that they have to be interior angles. That eliminates any answers involving exterior angles. Next, simply by definition, it wouldn't be corresponding. Finally, alternate interior angles is eliminated because the angles are on the SAME SIDE of the transversal, meaning that Same-Side interior angles is the answer.

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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Answer:

17cm²

Step-by-step explanation:

i hope it's helpful

Using the concept of sine rule, the missing side of the triangle is: 12.05 units

Sine rule is one in geometry that is used to show the relationship between the sides and angles of a triangle. It is given as:

a/sinA = b/sinB = c/sinC

Where:

A, B, C are the angles and a, b and c are the opposite sides to the angles.

The sum of angles in a triangle is 180 degrees.

Thus:

Missing angle of triangle = 180 - (70 + 61)

Missing angle = 49°

Using sine rule, we can easily say that let the missing side be x and as such we have:

x/sin 49 = 15/sin 70

x = (15 * sin 49)/sin 70

x = 12.05 units

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