A construction crew is lengthening a road. The road started with a length of 51 miles, and the crew is adding 3 miles to the road each day.
Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L. to D. Then
use this equation to find the total length of the road after the crew has worked 34 days.

Answer:

(-5, 0)

Step-by-step explanation:

To find the x-intercept, I found the equation of the line first.

The equation of the line: y = mx + c where m is the slope of the line and c is the y-intercept.

Slope = \(\frac{rise}{run}\)

          = \(\frac{-33-(-22)}{52-33}\)

          = \(\frac{-33+22}{52-33}\)

Slope = \(\frac{-11}{19}\)

Thus, the slope of the line is -\(\frac{11}{19}\).

To find the y-intercept, we just have to put the slope of the line into an ordered pair.

y = mx + c

-22 = -\(\frac{11}{19}\)(33) + c

-22 = -19\(\frac{2}{19}\) + c

c = -22 + 19\(\frac{2}{19}\)

c = -\(\frac{55}{19}\)

Thus, the y-intercept is -\(\frac{55}{19}\).

Thus, the equation of the line is: y = -\(\frac{11}{19}\)x - \(\frac{55}{19}\)

To find the x-intercept, we just have to put the equation of the line where y = 0.

y = -\(\frac{11}{19}\)x - \(\frac{55}{19}\)

0 = -\(\frac{11}{19}\)x - \(\frac{55}{19}\)

\(\frac{55}{19}\) = -\(\frac{11}{19}\)x

Multiply both sides by 19 to remove the fraction.

55 = -11x

x = 55 ÷ -11

x = -5

Thus, the x-intercept is -5.

You can draw out the line itself using the ordered pairs to find the x-intercept as well :)

Answer:

pick her as the brainliest

Step-by-step explanation:

mark brainlliest

Answer:3.2 ft

Step-by-step explanation:

sin 32°=\(\frac{yz}{6}\)

cross multiply

sin 32° x 6=yz

0.5299 x 6 =yz

yz=3.1795

≅3.2ft

Answer:  They should cross at 6,-1

Step-by-step explanation:

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

Step-by-step explanation:

The common ratio of the following sequence is:

If the common ratio is less than 1 or greater than -1 but not 0, we can use the following expression to determine the sum of the infinite geometric series:

Therefore, if we have a common ratio of 3/8 or 0.375 and the first term of the series is 3/2.

The sum would be:

Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

Answer:

1/2x+7

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

First use a step by step process called BODMAS which stands for brackets of(x) division multiplication additon and subtraction

The percentage of the data values in the box-and-whiskers plot, that are greater than or equal to 92, which is the 75th percentile, based on the five number summary, are 25 percent of the data.

The five number summary of a box-and-whiskers plot are value of the minimum, the first quartile, the median, the third quartile and the maximum value of the set of data.

Please find attached the possible box-and-whiskers plot in the question, obtained from a similar question on the internet

The five number summary from the box-and-whiskers plot are;

Minimum value = 82

The first quartile or the 25th percentile = 87

The median, second quartile or the 50th percentile = 90

The third quartile or the 75th percentile = 92

The value 92 on the data represents the 75th percentile, therefore, the percentage of the data that are greater than or equal to 92 are; 100 - 75 = 25 percent

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Answer:

The answer is A

Step-by-step explanation:

All of the other relations shows have duplicate numbers of x. For example, relation B has two 3s and D has two 20s. If a relation has a duplicate x, it is not a function.

Thus,  x-3 is not a factor if 2x³ - 5x² - 5x + 11. To make it the factor subtract 5 from the dividend.

A polynomial is factored when it is expressed as the product with two or more factors; this is somewhat the opposite of multiplying.

One of a single-variable polynomial's linear expressions is referred to as a factor. Many variables can affect a polynomial,

Given word problem.

2x cubed minus 5x squared minus 5x plus 11

This can be written as:

2x³ - 5x² - 5x + 11

So,

dividend : 2x³ - 5x² - 5x + 11

divisor =  x-3 , x = 3

Put x = 3 in dividend , if it comes zero, it is the factor.

= 2x³ - 5x² - 5x + 11

= 2(3)³ - 5(3)² - 5(3) + 11

= 5 (remainder)

Thus,  x-3 is not a factor if 2x³ - 5x² - 5x + 11. To make it the factor subtract 5 from the dividend.

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The inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

What is inequality?

An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.

First, we need to find Isaac's monthly gross income. Since he has a bi-weekly gross income of $1,925, we can calculate his monthly gross income as follows:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

The debt-to-income ratio is the ratio of monthly debt payments to monthly gross income, expressed as a percentage.

We want to find the minimum amount by which Isaac needs to reduce his monthly debt payments to have a debt-to-income ratio of 35%.

So we can set up the following inequality:

Minimum monthly debt payments / Monthly gross income ≤ 35% / 100%

Substituting the given values, we get:

$3,915 / $4,158.33 ≤ 0.35

Simplifying this inequality, we get:

0.9407 ≤ 0.35

This inequality is not true, so we made an error in our calculations. Let's check the calculation of monthly gross income. We should have:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

This calculation is correct. The problem is that the minimum monthly debt payments of $3,915 are already higher than what is allowed by the debt-to-income ratio of 35%. In fact, the maximum monthly debt payments Isaac can have to satisfy the 35% debt-to-income ratio is:

Maximum monthly debt payments = Monthly gross income x 35% = $4,158.33 x 35% = $1,454.92

Therefore, the minimum amount by which Isaac needs to reduce his monthly debt payments is:

$3,915 - $1,454.92 = $2,460.08

Rounding this to two decimal places, we get $2,460.09, which is closest to the fourth option:

x ≥ $2,455.21

Hence,  the inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

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Answer:

85

Step-by-step explanation:

15-(-70)=85

Answer:

|-70 - 15 | = | -85 | = 85 units

1 - Eliminate any answers that are easily distinguished as incorrect

This is always a good habit to have

Absolute value means its always positive;

With this we can conclude the first one and the last one are not our answers

2 - Understanding the distance as a difference in two points.

Because we're figuring out how far -70 is from 15 we are finding the difference between them, not the collective sum. In mathematics difference is subtraction, and as such we're going to want to subtract 15 from -70.

REWRITE:

|-70 - 15 | = | -85 | = 85 units

In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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To prove that T = [1,ØJ L[ (9.+00): 9 € QJ is not topology in R, we can use the three conditions required for a set of subsets to form a topology on a space X.

The conditions are as follows:

Condition 1: The empty set and the entire set are both included in the topology.

Condition 2: The intersection of any finite number of sets in the topology is also in the topology.

Condition 3: The union of any number of sets in the topology is also in the topology.

So let's verify each of these conditions for T.

Condition 1: T clearly does not include the empty set, since every set in T is of the form [1,a[ for some a>0. Therefore, T fails to satisfy the first condition for a topology.

Condition 2: Let A and B be two sets in T. Then A = [1,a[ and B = [1,b[ for some a, b > 0. Then A ∩ B = [1,min{a,b}[. Since min{a,b} is always positive, it follows that A ∩ B is also in T. Therefore, T satisfies the second condition for a topology.

Condition 3: Let {An} be a collection of sets in T. Then each set An is of the form [1,an[ for some an>0. It follows that the union of the sets is also of the form [1,a), where a = sup{an}.

Since a may be infinite, the union is not in T. Therefore, T fails to satisfy the third condition for a topology.

Since T fails to satisfy the first condition, it is not a topology on R.

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Answer:

356.82

Step-by-step explanation:

The equation is y = 0.5x and the slope is 0.5.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x\)

Therefore the equation is y = 0.5x and the slope is 0.5.

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The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c

The slope = m

The duration after which the farmer measures the average height of her tomato = x weeks

The average height of the tomato plant after x weeks = y

For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear

This means that the average height of the tomato will be represented by a linear equation as shown below

y  =  mx   +  c

The slope of the equation is m

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A)In 30 minutes, Bobby's dog can cover x miles.(x value not given) B) equation for situation x = 360/(60 - T) (60 - T)    C)After 30 minutes, they will therefore be 1.5 times as far apart from one another.

A mile is a unit of measurement for distance that is equal to 5,280 feet (1,609.344 meters) or 5,280 ft. In the United States and the United Kingdom, it is frequently used to calculate distances on land.

A)

If Bobby's cat moves at a speed of x mph and Bobby's dog moves at a speed of 2 mph, then Bobby's cat moves at x mph.

Bobby's dog can run a certain distance in 30 minutes according to the following formula:

Distance is determined by speed and time.

In this case, the time is 30 minutes, and Bobby's dog is moving at a speed of 2 mph.

30 minutes are converted to hours, giving us:

60 hours / 30 minutes=0.5 hours.

Bobby's dog can cover the following distance in 30 minutes:

miles are calculated using the formula distance = speed time (2x) (0.5).

Hence, in 30 minutes, Bobby's dog can cover x miles.

B)

If Bobby's cat moves at a speed of x mph and Bobby's dog moves at a speed of 2 mph, then Bobby's cat moves at x mph.

Imagine if after 30 minutes Bobby's dog and cat were 6 miles apart.

Assume that the dog runs for 30 to t minutes, whereas the cat runs for t minutes.

The cat's journey's mileage is then:

Distance = speed x (t/60) = time (xt/60 miles)

Similar to how the dog travelled, the distance is:

(Speed - Time)/60 = x(30 - T)/30 miles; distance = speed - time - 2x;

After 30 minutes, they were 6 miles apart, thus we can write:

The sum of the distances covered by the dog and the cat is six.

xt/60 + x(30 - t)/30 = 6

When we multiply both sides by 60, we obtain:

xt + 2x(30 - t) = 360

When we simplify the equation, we obtain:

xt + 60x - 2xt = 360

60x - xt = 360

x(60 - t) = 360

x = 360/(60 - t) (60 - t)

Hence, we can formulate the equation for this circumstance as follows:

x = 360/(60 - t) (60 - t)

C)

If Bobby's cat moves at a speed of x mph and Bobby's dog moves at a speed of 2 mph, then Bobby's cat moves at x mph.

If the dog and cat begin to flee from one another, their relative speed is:

relative speed is calculated as follows: cat + dog

= x + 2x

= 3x mph

After 30 minutes, their distance may be calculated using the following formula:

Distance is determined by speed and time.

The time is 30 minutes, and the relative speed is 3x mph.

30 minutes are converted to hours, giving us:

60 hours/ 30 minutes= 0.5 hours.

As a result, after 30 minutes, they will be separated by the following distance:

1.5 miles= 3 times the speed times .

After 30 minutes, they will therefore be 1.5 times as far apart from one another.

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Answer:

Answer:

\(\frac{2}{3}c=d\)

\(3\cdot \frac{2}{3}c=3d\)

\(2c=3d\)

\(\frac{2c}{2}=\frac{3d}{2}\)

\(c=\frac{3d}{2}\)

The proportion of variation explained by the model is called the coefficient of determination, also denoted as R-squared.

It is a statistical measure that represents the percentage of the variance in the dependent variable that is explained by the independent variable(s) in the regression model. In other words, it measures the goodness of fit of the regression line to the observed data points. The coefficient of determination ranges from 0 to 1, where 0 indicates that the model does not explain any of the variance in the dependent variable, and 1 indicates that the model explains all of the variance in the dependent variable. The coefficient of determination is often used in regression analysis to evaluate the predictive power of the model and to compare the fit of different models.

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Answer:

False 15 times 7= 105

Answer:

82300000 in scientific notation = 8.23 × 107.

Step-by-step explanation:

Not sure if that's right.

Answer:

8.23×10^7

Step-by-step explanation:

to convert a number i to scientific form just drag the point to first non zero digit and write it with some multiple of 10

Answer:

itanong mo kay kapatid na arlene

It is D. If you multiply D by 3.14 and it matches the C, it is the right one. So it is D

Answer:

B I believe.

Step-by-step explanation:

The measure of the arc BC using the congruency of central angle and intercepted arc is 85°.

Given a circle.

Also given that,

Measure of arc AE = 70°

Also, m ∠BDC = 85°

Now, ∠BDC is the central angle corresponding to the intercepted arc BC.

central angle and intercepted arc are congruent.

So, m arc BC = 85°

Hence the required measure is 85°.

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Step-by-step explanation:

she painted half of the still to be painted area.

after the first weekend there were 800 of 1600 ft² painted, and therefore 1600 - 800 = 800 ft² left to be painted.

on the second weekend she then painted half of that :

800 / 2.

that means she painted 800/2 = 400 ft², and that left 800 - 400 = 400 ft² to be painted on the following weekends.

if we look in detail, we find the starting 800 ft² of the second weekend are already the result of the first weekend.

800 = 1600 / 2

so,

800 / 2 = 1600 / 2 / 2 = 1600 / 2² = 1600 / 4.

and the same principle goes on weekend after weekend.

therefore, the expression for the nth weekend could be

1600 × (1/2)^n ft²

that means, she painted

on the 1st weekend : 1600 × 1/2 = 800 ft²

on the 2nd weekend : 1600 × 1/4 = 400 ft²

on the 3rd weekend : 1600 × 1/8 = 200 ft²

on the 4th weekend : 1600 × 1/16 = 100 ft²

...

that also means : she will never be finished, as she always paints only half of what is still left open, and that leaves always some part open. it will be tinier and tinier over time, but never 0.

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer
Even

Step-by-step explanation:

I got the answer from my teacher.

Answer:

d

Step-by-step explanation:

Answer:

c d a d

Step-by-step explanation:

i got it correct