What is the slope of 5x y =- 7?

From SOHCAHTOA.

Cos37 = x/25

x= 25cos37

x=21.5 = 22.

When rounded to the nearest integer... 20

Option A is legit

Answer:

The correct answer is B. 15

Step-by-step explanation:

Ap3x Approved

Hello there. To solve this question, we have to remember some properties about solving equations for a variable.

Given the following equation:

We want to solve it for w.

First, notice we can group some factors

Subtract lh on both sides of the equation

Assuming l + h is not equal to zero, divide both sides of the equation by this factor

This is the answer to this question.

Answer:

23 cuz it's like a parten

Based on the cost of the homes in the area, the down payment that needs to be paid is $100,000.

The down payment that will be paid is the cost of the house less the amount that is paid for mortgages.

Cost = $250,000

Mortgages = $150,000

The down payment is therefore:

= Cost - mortgages

= 250,000 - 150,000

= $100,000

In conclusion, the down payment is $100,000.

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The value of k that makes the vectors u and v orthogonal is k = -8/15. A vector is a mathematical object that represents a quantity with both magnitude and direction.

To find the value of k such that the vectors u and v are orthogonal, we need to find the dot product of the two vectors and set it equal to zero, as the dot product of orthogonal vectors is zero.

The vectors u and v are given as:

u = [-3k, 4]

v = [5, -2]

The dot product of u and v is calculated as follows:

u · v = (-3k)(5) + (4)(-2)

To find the value of k, we set the dot product equal to zero and solve for k:

(-3k)(5) + (4)(-2) = 0

-15k - 8 = 0

-15k = 8

k = -8/15

So, the value of k that makes the vectors u and v orthogonal is k = -8/15.

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Answer:

8q+2r

since all of the terms are to the first power, you can add them if they have the same term (so there are 5 indivudal q's and 3q so 8q)

Answer:

8q+2r

Step-by-step explanation:

please mark brainliest

The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.

To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:

Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ

For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78

For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06

Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803

Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178

So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.

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The principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).

Whenever a loan is given to a person it is given for some specific amount of time at a specific rate of interest which is to be paid along with the principal amount. Simple Interest is the method of calculating the interest amount on a loan given for a specific period.

It involves the multiplication of the principal amount, rate of interest, and the time for which the loan is given divided by 100.

Here Simple interest is denoted by i, time in years is denoted by t, the principal is denoted by p, and the rate of interest is denoted by r.

The formula of simple Interest is given by:

Simple interest = (Principal×Rate×Time)/100

i=(p×r×t)/100

Now principal can be denoted as:

p=(i×100)/(r×t)

Thus, the Principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).

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Answer:

.

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

To find the amount of percent a value takes up, here's the formula:

Let X = heads

Let y = amount of coinflips

Let z = percent of coinflips are heads

z=x/y

Answer:

a) Table:

Time required in hours to produce a unit of good

          shoe      slipper

A machine   1          0.5

B machine   1          1

Worker      2          2

Let x be the number of shoes produced and y be the number of slippers produced in a day.

The mathematical model for the best sales revenue is:

Maximize:

60x + 20y   (selling price)

Subject to:

x ≤ 20A         (machine A limit)

x ≤ 15B         (machine B limit)

2x + 2y ≤ T   (worker limit)

where T is the number of hours the workers work in a day.

Also, x and y must be non-negative.

b) To solve the mathematical model, we need to use linear programming. The standard form of the model is:

Maximize:

60x + 20y + 0s1 + 0s2 + 0s3

Subject to:

x − 20A + s1 = 0

x − 15B + s2 = 0

2x + 2y − T + s3 = 0

x, y, s1, s2, s3 ≥ 0

We can use a software or a calculator to find the optimal solution. The solution is:

x = 10

y = 30

A = 10

B = 10

T = 40

s1 = 0

s2 = 0

s3 = 0

Revenue = $2,400

c) The solution means that the factory should produce 10 shoes and 30 slippers in a day to maximize the revenue. Machine A and B should be used for 10 hours each per day. The workers should work for 20 hours to complete the production. The revenue earned per day would be $2,400.

The conclusion is that to maximize the revenue, the factory needs to produce more slippers than shoes. This is because the selling price of slippers is lower than that of shoes, but they require less time and resources to produce. Machine A is more efficient than machine B in producing shoes, but for slippers, both machines have the same efficiency. The workers will work for 12 hours or more, depending on the demand for the products.

Step-by-step explanation:

Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

slope = (8 - 4)/(5 - 1) = 4/4 = 1

Answer:

B) monomial

Step-by-step explanation:

If there is only one term in an expression, then it is monomial

A monomial is a real number, a variable, or a product of

a real number and one or more variables.

Since -6 is a real number, it's a monomial.

Answer: 4 and 2

Step-by-step explanation:

4+2=6

4-2=2

Answer:

4 and 2

Step-by-step explanation:

4+2=6

4-2=2

6-2=4

These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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The best deal is to buy 12 pounds. Winnie should buy the 12 pound bags.

Given that, there are 4 deals, i.e.

To get the best deal, calculating the cost of one pound for each deal.

For deal 1, Cost of one pound is \(\dfrac{\$4.99}{4.2} = \$1.19\)

For deal 2, Cost of one pound is \(\dfrac{\$9.27}{8.5} = \$1.09\)

For deal 3, Cost of one pound is \(\dfrac{\$11.04}{12} = \$0.92\)

For deal 4, Cost of one pound is \(\dfrac{\$18.99}{20} = \$0.95\)

Here the lowest cost of one pound is $0.92 which is deal 3.

So, the best deal is to buy 12 pounds. Winnie should buy the 12 pound bags.

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Answer:

y = -4x + 9

Step-by-step explanation:

y = mx + b

First, we will find 'm', aka slope,

(\(y_{2}\) - \(y_{1}\) ) / (\(x_{2}\) - \(x_{1}\)) = m

(-7 -7)/ (4 - (-3)) = m

-14/ 7 = m

∴ m = -2

Then we can substitute m = -2 and point 1 in to find 'b', aka y-intercept,

7 = -2 (-3) + b

7 = 6 + b

7 - 6 = b

∴ b = 1

Hence the equation is,

y = -2x + 1

Answer:

60

Step-by-step explanation:

The yellow and green angles form a right angle, so the measures of those combined will be 90 degrees.

90 - 30 = 60

A′(2, 1), B′(6, 1), and C′(2, 5) are the image's positions as a result of moving the triangular 6 units to the right.

The order of the numbers is always latitude first, semicolon after which is followed by longitude. For instance, New York City is located approximately at 40°N and 74°W in terms of latitude and longitude. The approximate coordinates for Sydney are 34°S and 150°E. When using a chart or globe, your longitude as well as latitude won't be precisely accurate.

To translate a point (x, y) to the right by 6 units, we add 6 to the x-coordinate.

So, the image of vertex A(-8, 1) would be A'(-8 + 6, 1) = A'(-2, 1).

Similarly, the image of vertex B(0, 1) would be B'(0 + 6, 1) = B'(6, 1).

And, the image of vertex C(-4, 5) would be C'(-4 + 6, 5) = C'(2, 5).

Therefore, the coordinates of the image after translating the triangle 6 units to the right are:

A′(−2, 1), B′(6, 1), C′(2, 5).

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Answer:

Let the number of popcorn be x and the number of drinks be y, then according to the question we have the following equation

.................> linear equation

To sketch the graph first we need to find two points on it.

EXAMPLE

put x=0, we get y=10

put y=0, we get x=6

Thus, we have points (0,10) and (6,0), now sketch a line through it .

Thus in the graph x - axis represents the number of popcorn and y axis represents the number of drinks.

The slope of the graph is

Step-by-step explanation:

Answer: 1304

Step-by-step explanation:

Fraction of the boys = 3/7

Fraction of the girls = 1 - 3/7 = 4/7

Number of students = 2282

The number of girls will be:

= Fraction of girls × Total number if students

= 4/7 × 2282

= 1304

There are 1304 girls

The object continues to roll without slipping, and the actual force of static friction stays constant.

A force that holds an object at rest is called static friction.

The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.

The range of static friction is 0 to the minimum force required to initiate motion.

The following is the formula to determine static friction: Normal Force x Static Friction Coefficient = Static Friction.

So, in the given situation the object keeps rolling without slipping, and the static friction's actual force remains constant.

Therefore, the object continues to roll without slipping, and the actual force of static friction stays constant.

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The right answer is -8/3

please see the attached picture for full solution

hope it helps

Answer:

\(slope = \frac{8}{ - 3} \)

Step-by-step explanation:

\((4 \: \: \: ,\: \: 18) = > (x1 \: \: ,\: \: y1) \\ (7 \: , \: \: \: \: \: 10) = > (x2 \: \: \: ,\: \: y2)\)

\(slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{18 - 10}{4 - 7} \\ = \frac{8}{ - 3} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

You do long division and draw half of a box. You put the bigger number inside, and in this case it is 120.

Your answer is 6 with no remainder.

Answer:

x = -1

Lowest common denominator is (x-3)(x-4)

Domain is \((-\infty,3)\cup(3,4)\cup(4,\infty)\)

Step-by-step explanation:

\(\displaystyle \frac{2x+3}{x-3}+\frac{x+6}{x-4}=\frac{x+6}{x-3}\\\\\frac{(2x+3)(x-4)}{(x-3)(x-4)}+\frac{(x-3)(x+6)}{(x-3)(x-4)}=\frac{(x+6)(x-4)}{(x-3)(x-4)}\\\\(2x+3)(x-4)+(x-3)(x+6)=(x+6)(x-4)\\\\2x^2-5x-12+x^2+3x-18=x^2+2x-24\\\\3x^2-2x-30=x^2+2x-24\\\\2x^2-2x-30=2x-24\\\\2x^2-4x-30=-24\\\\2x^2-4x-6=0\\\\(2x+2)(x-3)=0\\\\2x+2=0\\2x=-2\\x=-1\\\\x-3=0\\x=3\)

We have to be careful though and reject the solution \(x=3\) because plugging it into the original equation makes the denominator 0 on the right and left-hand sides, which is not allowed. Therefore, \(x=-1\) is the only solution.

The domain of this function is \((-\infty,3)\cup(3,4)\cup(4,\infty)\) since \(x=3\) and \(x=4\) make the denominators on both sides of the equation 0.

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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Answer:

I think its 70.

Step-by-step explanation:

Answer:

A=a+b

2h=4+10

2·10=70

Step-by-step explanation:

70 is ur answer x put me brainliest

Answer: 3/2

Step-by-step explanation:

Answer:

its 1

Step-by-step explanation:

because u do distributive property then u combine like terms (combine the xs) then u get a 2 step equation and u solve tht then you get ur answer

Answer:

C. No Solution

Step-by-step explanation:

8x + 47 = 8(x+5)

8x + 47 = 8x + 40

-8x          -8x

47 \(\neq\)40

Since 47 isn't equal to 40, there is no solution.