This graph represents a function. The linear function on a coordinate plane passes through (2, 9), and (minus 5, minus 5) which intercepts the axis at (0, 5), and (minus 2.5, 0). Which table contains points from the inverse of the graphed function? A. x -3 -1 1 3 y 1 2 3 4 B. x -4 -3 -2 -1 y -3 -1 1 3 C. x 1 2 3 4 y -3 -1 1 3 D. x -3 -1 1 3 y -4 -3 -2 -1

Using vertical angles, it is found that:

A. The solution for y is of y = 4.

B. The angle measures are given as follows:

If two angles are opposite by the same vertex in crossing segments, these angles are called vertical angles, and they are congruent, that is, they have the same measure.

In the context of this problem, the angles of 6y + 42 and of 66 are vertical, hence the value of y is calculated as follows:

6y + 42 = 66

6y = 24

y = 24/6

y = 4.

Angles A and C are supplementary, meaning that the sum of their measures is of 180º, hence:

<C + 66º = 180º

<C = 180º - 66º

<C = 114º.

Angles C and D are vertical, hence the measure of angle D is calculated as follows:

<D = 114º.

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Answer:

59.3 °

Step-by-step explanation:

its trigonometry

so you have the

opposite side= 43.5

and the adjacent side = 24.8

if you use SOH CAH TOA you will find that to find y you need to use TOA as tou have the opposite and adjacent.

to find the angle (tan) you need to do tue opposite / adjacent

tan^-1 (43.5/25.8)

= 59.3 to 1 d.p.

you need to use tan^-1 as you are finding the missing angle

Answer:

Lol I can't help im sorry

Answer:

i think it is 119

Answer:

Find the area of all of the different shapes (2D)

and then add them up together to find the surface area.

3×2

6×2

6×2

5×3

6×3

1×3

1×4

1×4

4×3

Then you add them up together.

6+12+12+15+18+3+4+4+12=ANS.

Answer:

yes

Given a 2D line e.g. (3,10) -> (8.3,16.5), how can I find any point on that line that has has whole-number coordinates?

I can easily iteratively walk along one of the axis in integer steps, seeing if the value on the other axis is integer, but this is slow for very very long lines.

Answer:

562.5 mph

Step-by-step explanation:

First, let's find how fast the car is going in miles per hour. We do this by dividing the miles by how many hours it took:

225/4 = 56.25

The car was going 56.25 mph

A high-speed train is ten times faster than this car so you multiply 56.25 by 10

(10)(56.25) = 562.5

The train's speed is 562.5 mph

Hope this helps!

- Kay :)

Answer:

The train covers 2250 miles in 4 hours compared to 225 miles covered in 4 hours by the car

Step-by-step explanation:

56.25 miles per hour - Car

562.50 miles per hour - Train

Answer: I can't really tell you the answer because you didn't show the graphs...

Step-by-step explanation:

A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that the boat's value decreasing at a rate of 40% per year, hence:

b = 100% - 40% = 60% = 0.6

A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ

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Answer:

It means that states that the three interior angles of any triangle add up to 180 degrees.

Have A Nice DAY!!!!!!

:-)

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

The production cost of ONE small chicken pie is R9.40. Option C.

To calculate the production cost of 1 litre of homemade ginger beer:

The cost of ingredients to produce 30 litres of ginger beer is R120, so the cost of ingredients per litre is 120/30 = R4.

They added 75% to the production costs to cover their overheads, so the total production cost per litre is 4 + 0.75(4) = R7.

Therefore, the production cost of 1 litre of homemade ginger beer is R7.

To calculate the profit of 60 litres of homemade ginger beer if the mark-up is 30%:

The cost of producing 60 litres of ginger beer is 60 x 7 = R420.

The mark-up is 30%, so the selling price of 60 litres of ginger beer is 420 + 0.3(420) = R546.

The profit is the selling price minus the production cost, so the profit is 546 - 420 = R126.

Therefore, the profit of 60 litres of homemade ginger beer with a 30% mark-up is R126.

To calculate the production cost of ONE small chicken pie:

The cost of ingredients to produce ten small chicken pies is R63, so the cost of ingredients per pie is 63/10 = R6.30.

The overheads to make ten small chicken pies is R31, so the overhead cost per pie is 31/10 = R3.10.

The production cost of ONE small chicken pie is the sum of the cost of ingredients and the overhead cost, so it is 6.30 + 3.10 = R9.40.

Therefore, the production cost of ONE small chicken pie is R9.40.

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Answer:

40-30i

Step-by-step explanation:

Use distributive property.

Answer:

Step-by-step explanation:

Answer:

3 boxes

Step-by-step explanation:

Take the total spent and divide by the cost per box

$6/ $2

3

She bought 3 boxes

The completely factorized form of the expression q² - 4 is (q + 2)(q - 2).

Given the expression in the question:

q² - 4

To factorize the expression q² - 4 completely, we can use the formula for the difference of squares.

The difference of squares formula states that :

a² - b² can be factored as (a + b)(a - b).

Given that:

q² - 4

Replace 4 with 2²
q² - 2²

From this expression, let a = x and b = 2

a² - b² =  (a + b)(a - b)

q² - 2² = (q + 2)(q - 2)

Therefore, the factored form is (q + 2)(q - 2).

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The length of arc LN of the circle is 7.40 units rounded to the nearest hundredth.

To calculate for the length of an arc of a circle, we use 2πr × (θ/360), where r is the radius and θ is the angle formed from the arc.

Thus we evaluate for the length of the arc as follows;

for π = 3.14, r = 4 and θ = 106°

2 × 3.14 × 4 × (106/360)°

25.12 × 0.2944

7.3953

Therefore, the length of the arc 7.3953 and rounded up to 7.40 to the nearest hundredth.

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Answer:

You can make six 3-digit numbers with 1, 5, 7 if you cannot repeat the same digit more than once.

Step-by-step explanation:

Since, we've 3 numbers & we need to create 3-digit numbers, each number should be in the hundreds, tens & ones place at least twice. So, the numbers that we get are:

•°• We'll get six numbers.

__________

Hope it helps!

\(\mathfrak{Lucazz}\)

The trend line simply means a line that's drawn over pivot to show the prevailing direction of price.

Your information is incomplete. Therefore, an overview will be given.

The trend line simply means a line that's drawn over pivot to show the prevailing direction of price.

It should be noted that trend lines are use for making trading decisions.

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Answer:

3+2x-x^3is the answer

Y/4 = -3

Multiply both sides by 4

Y = -12

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer: It takes Kendal 360 minutes to write the completed 8-page report.

Step-by-step explanation:

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

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Answer:  the rock will be at a height of 1,976 feet above the ground after approximately 8 seconds

Step-by-step explanation:

We can start by setting the height function equal to 1,976 and solving for t:

-16t² + 3000 = 1976

Subtracting 1976 from both sides, we get:

-16t² + 1024 = 0

Dividing both sides by -16, we get:

t² - 64 = 0

Factoring, we get:

(t + 8)(t - 8) = 0

So t = 8 or t = -8. We can ignore the negative solution since time cannot be negative.

Therefore, the rock will be at a height of 1,976 feet above the ground after approximately 8 seconds.

Answer: (A) 8 sec

Answer:

Answer to the following question is as follows.

Step-by-step explanation:

Given:

a = 12500000

b = 0.00125

c = 1120000​

Calculate (ab) ÷ (c)

Given:

d) Express the interval [-1.5, 4] as an inequality and then graph

Computation:

(ab) ÷ (c) = (a)(b) / c

(ab) ÷ (c) = (12500000)(0.00125) / (1120000​)

(ab) ÷ (c) = 25 / 1,792

Express the interval [-1.5, 4]

{x : -1.5 < x ≤ 4}

Graph.

._________._________.

-1.5              0                  4

Answer: B C and D

Step-by-step explanation:

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

A, C and G

Step-by-step explanation:

\(\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

From inspection of the given right triangle:

Substitute the values into the trigonometric ratios:

\(\implies \sf \sin(25^{\circ})=\dfrac{a}{c}\)

\(\implies \sf \cos(25^{\circ})=\dfrac{b}{c}\)

\(\implies \sf \tan(25^{\circ})=\dfrac{a}{b}\)

\(\boxed{\begin{minipage}{4 cm}\underline{Trigonometric values} \\\\$\sin(90^{\circ}- \theta)=\cos \theta$\\$\cos(90^{\circ}- \theta)=\sin \theta$\\$\tan(90^{\circ}- \theta)=\cot \theta$\\\end{minipage}}\)

Using trigonometric values and the calculated trigonometric ratios:

\(\begin{aligned} \sf \sin(90^{\circ}- 25^{\circ})&=\sf \cos (25^{\circ})\\\implies \sf \sin(65^{\circ}) &=\sf \dfrac{b}{c}\end{aligned}\)

\(\begin{aligned} \sf \cos(90^{\circ}- 25^{\circ})&= \sf \sin(25^{\circ})\\\implies \sf \cos(65^{\circ}) &=\sf \dfrac{a}{c}\end{aligned}\)

\(\begin{aligned}\sf \tan(90^{\circ}- 25^{\circ})&= \sf \cot(25^{\circ})\\\implies \sf \tan(65^{\circ}) &= \sf \dfrac{1}{\tan(25^{\circ})}\\\implies \sf \tan(65^{\circ}) & = \sf \dfrac{b}{a}\end{aligned}\)

Therefore, the true equations are:

\(\sf A: \quad \cos(25^{\circ})=\dfrac{b}{c}\)

\(\sf C: \quad \sin(65^{\circ})=\dfrac{b}{c}\)

\(\sf G: \quad \sin(25^{\circ})=\cos(65^{\circ})\)

The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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1) Subtract 4 from both sides to get 15x = 102

2) Divide by 15 on both sides to get x = 6.8

Answer:

x=6.8

Step-by-step explanation:

15x + 4 = 106

subtract 4 from both sides

15x=102

divide both sides by 15

x=6.8