C + 4 = -8
Choose
This is a required question

Answer:

A. B = 5

Step-by-step explanation:

Joe:

J(b) = 14b + 7

Will:

W(b) = 7b + 42

Where,

b = number of hamburgers cooked

J(b) and W(b) = amount of time each cook takes in minutes respectively

At what value of b will their cooking time be equivalent?

Equate both functions

Joe = Will

14b + 7 = 7b + 42

Collect like terms

14b - 7b = 42 - 7

7b = 35

Divide both sides by 7

b = 35 / 7

= 5

b = 5

The answer is

A. B = 5

The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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Answer:

the answer to the question is -75

Answer:

-75

Step-by-step explanation:

-55+(-10)-10

-55-20

-75

Answer:

6.50w

Step-by-step explanation:

Given that :

Weight ________ Cost ($)

1 ______________6.50

2 _____________ 13.00

3 _____________ 19.50

Cost of package that weighs w pounds

If one pound = 6.50

2 pounds = 13.0

Then, the cost per pound = $6.50

Hence, cost of package that weighs w pounds will be ;

$6.50 * w = $6.50w

The 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

In the given question we have to find the confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems.

Gallup surveyed 1,004 american adults.

So n=1004

The results showed that 53% of respondents blamed barack obama a great deal or a moderate amount.

So p=53% = 0.53

The 99% confidence  interval for the proportion of all american adults who blame barack obama a great deal or a moderate amount for u.s. economic problems is

CI=p±z× √{p(1−p)}/n

Now finding the value of z for 99% confidence interval.

The z critical value at 99% confidence interval is 2.575.

Now putting the value

CI=0.53±2.575× √{0.53(1−0.53)}/1004

CI=0.53±2.575× √(0.53*0.47)/1004

CI=0.53±2.575× √0.2491/1004

CI=0.53±2.575× √0.00025

CI=0.53±2.575× 0.0158

CI=0.53±0.0407

CI=(0.53+0.0407, 0.53−0.0407)

CI=(0.571, 0.489)

Hence, the 99% confidence interval indicate that a majority of all american adults blame barack obama a great deal or a moderate amount for u.s. economic problems is (0.571, 0.489).

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Lori and Mike Boyd both they stay within the FHA recommendation.

FHA loans come in 15-year and 30-year terms with fixed interest rates. The agency's flexible underwriting standards are designed to help give borrowers who might not qualify for private mortgages a chance to become homeowners

To calculate this:

Total annual expenses = Mortgage payments + Insurance premiums + Real estate taxes

With the values:

\(T== $25,484.60 + $1,356.00 + $12,240\\T== $39,080.60\)

Make this a monthly expanses:

\(T= $39,080.60 / 12\\T= $3,256.72\)

Calculate the gross income:

Monthly expenses / Monthly gross income

With the values:

\(3,256.72 / 13,395.00=0.243\)

If you put this value in percentage will be 24.3% which is low than 43%, so we can say that both are in the FHA recommendation.

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The scale factor of the smaller figure to the larger figure is 4/25

Scale factors is used to enlarge or diminish the size of an object. The rato of the sides or volume of the figures is the scale factor.

Given the following

Surface area of small cylinder = 20πyd²

Surface area of large cylinder = 125πyd²

find the ratio

Scale factor = 20π/125π

Scale factor = 4/25

Hence the scale factor of the smaller figure to the larger figure is 4/25

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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The length of arc JL is approximately 15.08 units.

We have,

The length of an arc in a circle can be calculated using the formula:

Arc Length = (θ/360) * 2πr

where θ is the central angle in degrees, r is the radius of the circle, and 2π is approximately 6.28.

In this case, we are given the central angle JKL = 144° and the radius JK = 6 units.

Plugging in the values, we have:

Arc Length = (144/360) * 2π * 6

Arc Length ≈ (0.4) * 6.28 * 6

Arc Length ≈ 15.072 units

Rounded to the nearest hundredth,

The length of arc JL is approximately 15.08 units.

Thus,

The length of arc JL is approximately 15.08 units.

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The integration is (1/4)x sin 4x + (1/16)cos 4x + C.

To evaluate the integral ∫ x cos 4x dx using integration by parts, we need to use the formula ∫u dv = uv - ∫v du. We are given that u = x and dv = cos 4x dx. Now, we need to find v and du.

To find v, we need to integrate dv. So, v = ∫cos 4x dx = (1/4)sin 4x + C.

To find du, we need to differentiate u. So, du = dx.

Now, we can plug in the values of u, v, du, and dv into the formula and simplify:

∫ x cos 4x dx = x(1/4)sin 4x - ∫(1/4)sin 4x dx

= (1/4)x sin 4x - (1/4)∫sin 4x dx

= (1/4)x sin 4x - (1/4)(-1/4)cos 4x + C

= (1/4)x sin 4x + (1/16)cos 4x + C

So, the final answer is (1/4)x sin 4x + (1/16)cos 4x + C.

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Leo delivered 62.80 big parcels.

Let's denote the amount Leo earned for delivering a big parcel as "B" and the amount he earned for delivering a small parcel as "S". We'll set up a system of equations based on the given information.

From the problem statement, we have the following information:

1) Leo earned $2.40 for delivering a small parcel: S = 2.40

2) Leo earned more for delivering a big parcel: B > 2.40

3) He delivered 3 times as many small parcels as big parcels: S = 3B

4) Leo earned a total of $170.80: B + S = 170.80

5) Leo earned $45.20 less for delivering all big parcels than all small parcels: S - B = 45.20

Now, let's solve the system of equations:

From equation (3), we can substitute S in terms of B:

3B = 2.40

From equation (5), we can substitute S in terms of B:

S = B + 45.20

Substituting these values for S in equation (4), we get:

B + (B + 45.20) = 170.80

Simplifying the equation:

2B + 45.20 = 170.80

2B = 170.80 - 45.20

2B = 125.60

B = 125.60 / 2

B = 62.80

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y=f(x) has vertex (-4,6)

g(x)=-f(x-2) shifts the graph 2 units to the right, not to the left, and the graph is reflected over the x-axis

therefore the vertex is (-2,6) and the reflection over the x-axis has no affect on the vertex

Let x be the positive root of the quadratic equation: 13x2 - 22x + 7 The first step is to find the value of x.To find the value of x, we need to use the quadratic formula: x = (-b + √(b^2 - 4ac))/2a, where a = 13, b = -22, and c = 7.

Plugging in these values,The continued fraction of x is obtained by expressing x as a sum of integers and fractions in which the denominators are positive integers.

The first term is the integer part of x, and the other terms are the reciprocals of the fractional parts of x. This process is continued until the fractional part of x becomes zero.So, we have:

x = 0 + (13/(11 + √34) - 1)

= 1 + (√34 - 1)/(11 + √34)

= 1 + 1/((11√34)/34 + 1)

= [1, (11√34)/34]

Therefore, the continued fraction of x is [1, (11√34)/34].

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Answer:

120°

Step-by-step explanation:

This is a regular hexagon and that means all angles have equal measures

The sum of interior angles in a hexagon is equal to 720°

6x = 720 divide both sides by 6

x = 120

Answer:

Step-by-step explanation:

To solve the given problem first we need to find the equation for line then we have to find the intersection point on circle.

You will pick up a signal from the transmitter in 29% of the drive.

Given:

The radius is 53 mile.

The origin point of transmitter is .

Calculate the slope of line with point  and .

Substitute the value.

Write the general equation of line.

Now we got the equation of line,

Write the transmitter reach the area enclosed by the next circle.

Substitute the value of .

Thus, You will pick up a signal from the transmitter in 29% of the drive.

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The actual behavior of a system may involve a combination of these effects, leading to more complex deviations from the nominal characteristic.

Bias,

Bias refers to a systematic error or offset that causes the measured values to deviate consistently from the true value. In the context of sensors or instruments, bias can be represented as a constant shift in the output with respect to the input. If there is bias present, the measured values will have a constant offset from the nominal characteristic. The bias causes a shift in the output values, but the slope of the characteristic remains unchanged.

Scale Factor Drift,

Scale factor drift refers to a change in the gain or amplification factor of the system over time. It causes the relationship between the input and output to deviate from the nominal characteristic by a varying factor. With scale factor drift, the measured values deviate from the nominal characteristic by a changing factor.

Sensitivity to Disturbance,

Sensitivity to disturbance refers to the system's response to external influences or disturbances that can affect the output. It measures how much the output is affected by changes in the input or external factors. With sensitivity to disturbance, the measured values can deviate from the nominal characteristic when external disturbances are present.

Combining Effects,

In reality, bias, scale factor drift, and sensitivity to disturbance can all occur simultaneously and interact with each other. The actual behavior of a system may involve a combination of these effects, leading to more complex deviations from the nominal characteristic. The diagrams above illustrate the individual effects for better understanding, but in practice, the real-world behavior may involve a combination of these effects.

It's important to account for these factors and understand their impact to ensure accurate measurements and reliable system performance.

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Answer:

X = 11

Step-by-step explanation:

Considering the triangle midsegment theorem, the length WT is given as follows:

WT = 15.

The triangle midsegment theorem states that the midsegment of the triangle divides the two sides of the triangle into proportional parts.

The proportional relationship for the lengths is given as follows:

10/6 = 25/WT

5/3 = 25/WT.

Applying cross multiplication, the length WT is given as follows:

5WT = 75

WT = 15.

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Answer:

15÷1/9 =

         \(\frac{15}{\frac{1}{9} } = 15 *9 = 135\)

Answer:

1, 1

Step-by-step explanation:

i hope this answer is correct

The unique challenges of lack of baseline data, sample size, and objectivity pose significant obstacles in environmental science. Researchers must work diligently to overcome these challenges through careful data collection, innovative methodologies, and critical analysis.

The challenge of lack of baseline data in environmental science refers to the difficulty in establishing a starting point or reference point to compare future observations or changes. Baseline data provides important information about the current state of the environment, such as air quality, water quality, biodiversity, and ecosystem health. Without this baseline data, it becomes challenging to assess and monitor changes over time accurately.

Sample size is another unique challenge in environmental science. It refers to the number of observations or data points collected for a particular study or analysis. A larger sample size generally provides more reliable and representative results. However, in environmental science, it is often difficult to obtain large sample sizes due to logistical constraints, limited resources, and the complexity of natural systems. This limitation can affect the precision and generalizability of research findings.

Objectivity is a critical aspect of scientific inquiry, including environmental science. It involves conducting research without bias or personal opinion, relying on empirical evidence and logical reasoning. However, achieving complete objectivity is challenging because researchers may have inherent biases, conscious or unconscious. Additionally, interpreting data can be subjective, leading to different conclusions. Environmental scientists strive to minimize subjectivity by using rigorous methodologies, peer review, and transparent reporting.

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Answer:

a.) 98°

Step-by-step explanation:

Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:

\(82+x=180\)

Solve for x, the value of angle 5:

\(x=180-82\\\\x=98\)

Angle 5 has a  measure of 98°.

Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.

:Done

K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.

Therefore, the coordinate of the image of point K is K’(-2, 1).

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Answer:

She earned 24.8 dollars per hour that she was working.

Step-by-step explanation:

Step-by-step explanation:

we have,

general term = 2(1/2)^n-1

Now,

7th term (t7)= 2(1/2)^7-1

= 2(1/2)^6

=2(1/64)

=2/64

=1/32 #

Ans. = 1/32