Whats 28,456 +92 / 2 * 8 + 3?

The y intercept of the line passes through the point (32, 22) and (48, 17) is 32

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

The table shows that the line passes through the point (32, 22) and (48, 17). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-22=\frac{17-22}{48-32} (x-32)\\\\y=-\frac{5}{16}x+32\)

The y intercept is 32

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

The y intercept of the line passes through the point (32, 22) and (48, 17) is 32

Answer:

the answer is c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

turst me on this one and i hope I helped!

Answer:

1.Maximum price below the market equilibrium price

2.Producers from low market prices

3.Lead to a shortage as prices are kept from rising to their equilibrium level

4.A price ceiling of $1,000

5.The surplus resulting from the price floor Pc

Step-by-step explanation:

I just took the Price Ceilings and Floors Quick Check

Have a great day/night!

The height of the trapezoid is 3 inches.

A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: Area = 1 2 × Sum of parallel sides × Distance between them .

The formula for calculating the area of ​​a trapezoid is as follows:

A = (b1 + b2) × h / 2

where A is the area, b1 and b2 are the lengths of the parallel bases, and h is the height of the trapezoid.

We get the area A = 13.5 square inches and the lengths of the parallel supports, b1 = 3 inches and b2 = 6 inches. We can plug these values ​​into the formula and solve for h:

13.5 = (3 + 6) × h / 2

13.5 = 9 h / 2

Multiplying both sides by 2 and then dividing by 9 gives:

h = 3

Therefore, the height of the trapezoid is 3 inches.

Learn more about Quadrilateral here

https://brainly.com/question/29934440

#SPJ1

Answer: E

Step-by-step explanation:

The parametric equations for an object moving clockwise along the ellipse are x =  3 cos((2π/3) t) and y = 5 sin((2π/3) t)

Given: the equation of an ellipse x²/9 + y²/25 = 1

Beginning at (0,5) and requiring 3 seconds

The parametric equations representing an ellipse x²/a² + y²/b² = 1  are

x = a cos(t) and y = b sin(t)

where t is the parameter with values between [0, 2π]

If t represents time. Then, if a lap around the ellipse is completed in T seconds we have,

x = a cos((2π/T) t)

y = b sin((2π/T) t)

where 2π/T is the period of the motion.

Combining these results, therefore, we have the parametric equations:

x =  3 cos((2π/3) t)

y = 5 sin((2π/3) t)

Learn more about equation of ellipse on:

brainly.com/question/16904744

#SPJ1

To rotate a point (x, y) by 270 degrees clockwise about the origin, we can use the following formula:

(x', y') = (y, -x)

where (x', y') are the coordinates of the rotated point.

Using this formula for each of the vertices of RSQ, we get:

R' = (yR, -xR) = (-1, -4)

S' = (yS, -xS) = (-3, -5)

Q' = (yQ, -xQ) = (-1, -3)

Therefore, the coordinates of the vertices of the image RSQ after rotating 270 degrees clockwise about the origin are R'(-1, -4), S'(-3, -5), and Q'(-1, -3).

The value of the side length x is equal to 14 using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin45 = 7√2/x {opposite/hypotenuse}

√2/2 = 7√2/x {sin45 = √2/2}

x = 7√2 × 2/√2 {cross multiplication}

x = 7 × 2

x = 14

Therefore, the value of the side length x is equal to 14 using the trigonometric ratio of sine.

Read more about trigonometric ratios here: https://brainly.com/question/3457795

#SPJ1

By performing the division, the jogging track is 0.45 miles long.

Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.

The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.

To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.

So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.

To know more about division visit:

https://brainly.com/question/28119824

#SPJ1

Answer:

t = (y+3)/x

Step-by-step explanation:

Step 1: Add 3 to both sides.

Step 2: Divide both sides by x.

Therefore, the answer is \(t = \frac{y+3}{x}\).

\(\sf{Heya}\) ~

*ੈ✩‧₊˚  \(\mathfrak{Satori~ Tendō~is~here~to~help}\)  ੈ✩‧₊˚

\(\sf{solve~for~t,~Xt~-~3=y~:~t=\frac{y~+~3}{X} ;~X~∉~0\)

\(\bold{Add~3~to~both~sides~:}\)

\(\sf{Xt~-~3~+~=~y~+~3}\)

\(\bold{Simplify~:}\)

\(\sf{Xt~=~y~+~3}\)

\(\bold{Divide~both~sides~by~X;}~X~∉~0\)

\(\sf{\frac{Xt}{X}~=~\frac{y}{X}~+~\frac{3}{X};~X~≠0\)

\(\bold{Simplify~:}\)

\(\sf{t=\frac{y~+~3}{X};~X~≠0\)

Hopefully This Helps !

#LearnWithBrainly

\(\underline{Answer~:}\)

\(\sf{Tendou}\) ~

Answer:

its answer is 17 first find p and q value then use x2-x1 y2-y1 formula

Using z-scores and the normal distribution, it is found that the new value would be of 58.2.

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

We have to find the value of X, then:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 50}{5}\)

\(X - 50 = 1.645(5)\)

\(X = 58.2\)

A similar problem is given at https://brainly.com/question/15583760

The calculated measure of m∠PNM is 87 degrees

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

Learn more about distance between a point and a line on:

https://brainly.com/question/18276750

#SPJ1

Answer:

Step-by-step explanation:

Determine the two consecutive multiples of 10 that bracket 551

551 is between 550 and 560

555 is the midpoint between 550 and 560

As illustrated on the number line, 551 is less than the midpoint (555)

Therefore, 551 rounded to the nearest ten = 550

551 rounded to the nearest ten with a number line

Answer: 551.36

Step-by-step explanation:

“Of” means you have to multiply so multiply 133.5 and 413 and you will get 55,135.5 then you move the decimal point to the right 2 times and that will be 551.355, then since there is a five you change the other five to a 6 (5 or more raise the score 4 or less let it rest) and that will be 551.36.

Answer:

\((-6,\, -5)\) is outside the circle of radius of \(12\) centered at \((3,\, 3)\).

Step-by-step explanation:

Let \(J\) and \(r\) denote the center and the radius of this circle, respectively. Let \(F\) be a point in the plane.

Let \(d(J,\, F)\) denote the Euclidean distance between point \(J\) and point \(F\).

In other words, if \(J\) is at \((x_j,\, y_j)\) while \(F\) is at \((x_f,\, y_f)\), then \(\displaystyle d(J,\, F) = \sqrt{(x_j - x_f)^{2} + (y_j - y_f)^{2}}\).

Point \(F\) would be inside this circle if \(d(J,\, F) < r\). (In other words, the distance between \(F\!\) and the center of this circle is smaller than the radius of this circle.)

Point \(F\) would be on this circle if \(d(J,\, F) = r\). (In other words, the distance between \(F\!\) and the center of this circle is exactly equal to the radius of this circle.)

Point \(F\) would be outside this circle if \(d(J,\, F) > r\). (In other words, the distance between \(F\!\) and the center of this circle exceeds the radius of this circle.)

Calculate the actual distance between \(J\) and \(F\):

\(\begin{aligned}d(J,\, F) &= \sqrt{(x_j - x_f)^{2} + (y_j - y_f)^{2}}\\ &= \sqrt{(3 - (-6))^{2} + (3 - (-5))^{2}} \\ &= \sqrt{145} \end{aligned}\).

On the other hand, notice that the radius of this circle, \(r = 12 = \sqrt{144}\), is smaller than \(d(J,\, F)\). Therefore, point \(F\) would be outside this circle.

Answer:

outside the circle

Step-by-step explanation:

khan

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

\( \frac{3}{2} \)

Step-by-step explanation:

\(4(2x - 5) = 2(3x - 4) - 6x = \\ 8x - 20 = 6x - 8 - 6x = \\ 8x = 20 - 6 \\ \frac{8x}{8} = \frac{20 - 8}{8} \\ x = \frac{3}{2} \)

hope its clear ♡

The probability that the athletes stretches if they will have injuries is 11/57

Probability is the likelihood or chance that an event will occur. Mathematically;

Probability = Expected outcome/Total outcome

From the table given:

Total outcome = 800

Let A be the athlete that stretches

Let B be athletes with injuries such that;

P(A | B) = P(AnB)/P(B)
P(A | B) = 55/285
P(A | B) = 11/57

Hence the probability that the athletes stretch if they will have injuries is 11/57

Learn more on probability here: https://brainly.com/question/25870256

Step-by-step explanation:

To determine the constant of proportionality (k) in a proportional relationship, we need to compare corresponding values of x and y and calculate the ratio between them.

Let's examine the given values:

2. UX: x 6 15 9 y 42 200

To find the constant of proportionality (k), we can take any pair of corresponding values and calculate their ratio. Let's choose the first pair: (6, 42).

k = y / x

k = 42 / 6

k = 7

So, the constant of proportionality (k) is 7.

Now, let's find the missing values for the second set of values:

d. X: 14 y: 21 6 15 3 7 8

Since we know the constant of proportionality is 7, we can calculate the missing values of y by multiplying each corresponding x value by 7.

Missing values for y:

- For x = 21, y = 21 * 7 = 147

- For x = 6, y = 6 * 7 = 42

- For x = 15, y = 15 * 7 = 105

- For x = 3, y = 3 * 7 = 21

- For x = 7, y = 7 * 7 = 49

- For x = 8, y = 8 * 7 = 56

Therefore, the missing values of y are: 147, 42, 105, 21, 49, and 56.

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Answer:

I can explain how to complete each of the steps you have provided.

1. Draw a point at (1, -2)

This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).

2.

Draw an 8-unit long radius

Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.

3. Using a compass

Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.

4. Using a protractor draw a 70 degree arc

Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.

5. Draw a central angle which intercepts your arc

Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.

6. Draw an inscribed angle which intercepts a 40 degree arc

Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.

7. Draw a tangent line

Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.

8. Draw a secant line

Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.

9. Equation of your circle

The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.

Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

The tank holds approximately 994,040 liters.

The volume of a right circular cylinder is given by the formula:

V = πr^2h

Where

The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m

The cylinder is described as having a 6 m length.

These values are substituted into the volume calculation to produce the following result:

V = π(6.5)^2(6)

V ≈ 994.04 cubic meters

Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.

V = 994.04 cubic meters x 1000 liters/cubic meter

V = 994,040 liters

Therefore, the tank holds approximately 994,040 liters.

Learn more about volume of cylinder here : brainly.com/question/27535498

#SPJ1

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

for such more question on Bryan invested

https://brainly.com/question/20690803

#SPJ8

Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2

Answer:

K=-3

Step-by-step explanation:

Answer:

0.08y - 0.0144

Step-by-step explanation:

We need to solve the below expression i.e.

(y - .18) x .08

It can be done as follows :

Using distributive property to solve it.

(y - .18) x .08 = 0.08(y) - 0.18(0.08)

= 0.08y - 0.0144

So, the equivalent expression is 0.08y - 0.0144.

Answer:

Total area = 141,

the trapezoid = 117, the triangle=24