The x-intercept of 5y+2x20 is (10.0) True False

Answer:

- . 825

Step-by-step explanation:

Just use a calculator to  -33 ÷ 40 = - .825

Answer:

B

Step-by-step explanation:

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

X= 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7+8=15

5×3=15

4/5×15=12

if that makes sense

Answer:

Y= -1x - 4

Step-by-step explanation:

Using the z-distribution for the margin of error, it is found that 355 samples should be taken.

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which  z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The estimate is of 18%, hence \(\pi = 0.18\).

95% confidence, hence \(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so \(z = 1.96\).  

The minimum sample size is n for which M = 0.04, hence:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}\)

\(0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}\)

\(\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}\)

\((\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2\)

\(n = 354.4\)

Rounding up, 355 samples should be taken.

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Answer:

4rd is the answer became

Answer:

The endpoint coordinates are (3,12)

Step-by-step explanation:\(\frac{5+x^{2} }{2} =4\) \(\frac{-6+y^{2} }{2} = 3\)

You multiply 4 by 2 which gives you 8 and write the equation\(5+x^{2} =8\) then you subtract 5 from 8 to get 3 for the x coordinate.

You multiply 3 by 2 which gives 6 and writhe the equation\(-6+y^{2}=6\) then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.

To check use the midpoint formula with coordinates D and your endpoint coordinates\(\frac{5+3}{2}=\frac{8}{2} =4 \\\)  \(\frac{-6+12}{2} =\frac{6}{2} =3\) and you get the answer for the midpoint which is (4,3)

Answer:

D : Obtuse

Step-by-step explanation:

A right angle is 90 degrees.

An acute and obtuse angle are found by looking at the angle between the sides being looked at.

If the angle is GREATER i.e. Angle > 90 , then it is obtuse.

If the angle is LESS THAN i.e. Angle < 90 , then it is acute.

This angle is apparently greater than 90 degrees and therefore is obtuse.

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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Answer:

Not sure but I think it's 3.75

9514 1404 393

Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

  2s = 52 . . . . . . . . . . subtract 30

  s = 26 . . . . . . . . . divide by 2

  s +30 = 56 . . . the speed of the other train

The speeds of the two trains are 56 mph and 26 mph.

Answer:

4. w+4=s

5. Winn's sister will be 18 years old when Winn is 14.

Step-by-step explanation:

4. Winn's age + 4 years is Winn's sisters age. They are four years apart.

5. Winn's sister is 4 years older than Winn so Winn's sister will be 18 when Winn is 14.

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12

, x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,

x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√

5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√

5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!

Step-by-step explanation:

Recall that \(\log 10 = 1\) so we can rewrite the equation above as

\(\log 10 + \log 2 = \log (x + 1)\)

Also recall that \(\log(ab) = \log a + \log b\) so the left-hand side becomes

\(\log [(10)(2)] = \log (x + 1)\)

or

\(20 = x + 1 \Rightarrow x = 19\)

Answer:

x=4

Step-by-step explanation:

8x - 7 =2(2x +7) - 5

8x - 7 =4x +14 - 5

8x - 7 =4x +9

8x - 4x =9 +7

4x =16

x=16 :4

x=4

The function g(x) = 3x + .. f(t)dt, makes g(0) to be 0

Equation hypothesis y=k₁xtb₁, 2 =2k₁+b₁=> k₁ = 2 b₁=6

2=-2k+b,

⁻4=⁻5k+b

The equation (-5, ⁻4) associated with (-2,2) is y=2x+b = f(y)

y₂ = k₂ ×+b₂

2 = -2k₂+b₂

1 = b₂

k₂ = ¹/₂

b₂ = 1

The equation (-2,2) associated with (0,1) is y₂ = -¹/₂ x+1 = f(y)

g(x) = 3x + ∫(-₅)ˣ f(t)dt

Thus g(0) = 0 + ∫(-₅)ˣ f(t)dt =∫(-₅)⁻² + ∫(-₂)⁰ f(t)dt

= ∫(-₅)⁻² (2t + 6)dt + ∫(-₂)⁰ f(¹/₂t + 1)dt

= (t² + 6t)|(_₅)⁻² + (-¹/₄ t² + t ) |(_₂)⁰

= (4-12)-(25-30) -(-1-2) = 0

Therefore, g(0) = 0

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So the solution equation is 6x + 3 and the total miles is equal to 6x + 3.

Where x represents the length of Lincoln Park School.

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables. 

Mile is a unit of measurement that equals 1760 yards or approximately 1.6 kilometer's. It the mostly used in the continent of North America.

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Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.

Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°

So,Let's keep ∠EIH = 140°

Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)

Now,The Sum of all angles around I will be 360 degrees.

So,140 + x + 140 +  x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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A person will take 5.88672 × \(10^{8}\) breaths in 70 years.

Here, we are given that on average a person at rest takes approximately 16 breaths per minute.

1 hour = 60 minutes

Thus, in 1 hour a person will take-

60 × 16

= 960 breaths

Now, 1 day = 24 hours

Thus, in 1 day, a person will take-

24 × 960

= 23,040 breaths

Further, 1 year = 365 days

Thus, in 1 year, a person will take-

23,040 × 365

= 8,409,600 breaths

In 70 years, a person will take-

8,409,600 × 70

= 588,672,000 breaths

We can express this in exponential notation as-

5.88672 × \(10^{8}\)

Thus, a person will take 5.88672 × \(10^{8}\) breaths in 70 years.

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Answer:

C.

Step-by-step explanation:

Central angle = 360-52=308°

In radians

308° = 308π/180

Now

S = r∅

S = 3×308π/180

S = 924π /180

S = 77π/15 in.

Answer:

answer is 13π/15

Step-by-step explanation:

correct answer is 13π/15.