What is the vertex of the parabola whose equation is y = (x + 1)2 + 3?
(-1,-3)
(-1,3)
(1,3)

Answer:

Step-by-step explanation:

No; the graph for the path of a ball must be a parabola that opens downward, so if the equation is in the form y = ax2 + bx + c, a must be negative.

Answer:

6/12=1/2

Step-by-step explanation:

6/12_1/12

Reduce 6/12 into lowest form

6/12=1/2

We get,

1/2_1/2

Both are equal,therefore

6/12=1/2

Step-by-step explanation:

6. and 1

12. 2

=1. = 1

2. 2

i simplified 6 and 12

which gave me

1 over 2

Answer:

40

Step-by-step explanation:

To find the area of a parallelogram, you use the following formula:

base x height = area

Using this formula, we plug in the values the question provides, and solve for the area:

base x height = area

8 x 5 = area

40 = area

Answer:

Your answer would be 40

Step-by-step explanation:

break the polygon up into smaller shapes

and then add them all together for the final answer

Answer:

British broadcasting corporation

Step-by-step explanation:

Answer:

British broadcasting corporation

Step-by-step explanation:

Answer:

The 6 above 960 is incorrect.

It should be 60.

4240/16 = 265

Answer:

- ∠3 & ∠5

- ∠2 & ∠8

----------------------------------------------------------------------

Interior Angles - Angles that appear INSIDE the transversal

Transversal - The shape you see with two parallel lines intersecting it.

Alternate - Opposite of each other, on the other side as well.

The alternate interior angles are the pair of ∠2,∠8 and ∠3,∠5.

Alternate interior angles are the angles which are formed when two parallel lines cut by a transversal line.

Hence, the pair ∠2,∠8 and ∠3,∠5 are alternating interior angle.

Learn more about angles here:

https://brainly.com/question/1592425

#SPJ2

Answer:

92%

Step-by-step explanation:

100 ÷ 25 = 4

23 × 4 = 92

Answer:

[tex]\sqrt{72}[/tex] = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{72}\\\sqrt{(4)(18)}\\[/tex]

2[tex]\sqrt{(2)(9)}[/tex]

(2)(3)[tex]\sqrt{2}[/tex]

6[tex]\sqrt{2}[/tex]

Answer:

6√2

Step-by-step explanation:

hello :

√72 = √(36×2) =√36×√2 =6√2  because :√36=6

Answer:

320

Step-by-step explanation:

hope this helps!

The intensity of a sound of 10³² w/m² is 440 decibels.

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Given that:

I(dB) = 10log(I/I₀)

Where I is the intensity of sound in w/m², I₀ = 10⁻¹²

Given that I = 10³², hence:

I(dB) = 10log(10³²/10⁻¹²) = 440 dB

The intensity of a sound of 10³² w/m² is 440 decibels.

Find out more on equation at: https://brainly.com/question/1214333

Answer:

7

Step-by-step explanation:

ur welcome

Answer:

y = 3 (x+8)^2  -7

Step-by-step explanation:

The vertex form of the equation is

y = a(x-h)^2 +k

where (h,k) is the vertex

y = a (x- -8)^2 + -7

y = a (x+8)^2  -7

Now substitute the point into the equation to determine a

-4 = a (-7+8)^2  -7

-4 = a (1^2) -7

-4 = a -7

Add 7 to each side

-4+7 = a-7+7

3 =a

y = 3 (x+8)^2  -7

Answer:

y = 3(x + 8)² - 7

Step-by-step explanation:

y = a(x - -8)² - 7

y = a(x + 8)² - 7

-4 = a(-7 + 8)² - 7

3 = a

y = 3(x + 8)² - 7

Answer:

x = 2

y = -1

Step-by-step explanation:

Since it gives you the value of y already, just plug that into the equation, like so:

y = 4x - 9

x - 3 = 4x - 9

Subtract the x from both sides:

x - 3 = 4x - 9

-x       - x

__________

-3 = 3x - 9

Then, add 9 to both sides:

-3 = 3x - 9

+9        + 9

________

6 = 3x

Divide both sides by 3:

2 = x

Now plug in x for y:

y = x - 3

y = 2 - 3

y = -1

Answer:

A≈351.86 or rounded to the nearest tenth, 351.9.

Answer:

Your answer should be A.

Step-by-step explanation:

To begin, you must acknowledge the formula for the SA or Surface Area of a Cylinder. Which is: 2πrh+2πr2

Now, we plug it in!

2π4×10 + 2π16

How do I know this?

Your radius if 4, since it's half of the cylinder. Since the second part calls for your radius squared, you must do 4x4.

Answer:

(x+5)^2

Step-by-step explanation:

Answer:

simple just subtract and you get-74.85

Step-by-step explanation:

Answer:

Perimeter and area of drawing

Perimeter= 10 In

Area = 6.25 In²

Perimeter and area of object

Perimeter = 51.836 mm

Area = 167.936 mm²

Step-by-step explanation:

We are dealing with a square object, so let's talk about the drawing first.

The length of one side = 2.5 In

Perimeter of square= 4L

Perimeter = 4*2.5

Perimeter= 10 In

Area = L*L

Area = 2.5*2.5

Area = 6.25 In²

Letd note that 1 inch =

25.4 millimetres

So 2.5 Inch = 2.5 * 25.4

2.5 In = 63.5 mm.

25.4 mm is to 5mm

63.5 mm is to (63.5*5)/24.5

63.5mm is to 12.959 mm

So the length of actual object is 12.959mm

The perimeter = 4*12.959

Perimeter = 51.836 mm

Area = 12.959²

Area = 167.936 mm²

Answer:

The perimeter of the actual object  is 50 mm.

The area of the actual object is 156.25 mm square

Step-by-step explanation:

Given

Shape: Square

Scale: 1 in : 5 mm

Length of Scale Drawing = 2.5 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 4 * Length

Recall that the scale is 1 in : 5 mm

This means 1 in on the scale represents 5 mm of the actual measurements of the object.

So, if 1 in ≈ 5 mm, then

2.5 in ≈ 2.5 * 5 mm

2.5 in = 12.5 mm

So, Length = 12.5mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 12.5mm

P = 50mm

Hence, the perimeter of the actual measurements is 50 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 12.5 mm as calculated above

So,

Area = 12.5 * 12.5

Area = 156.25 mm square

Hence, the area of the actual object is 156.25 mm square

Answer:

220

Step-by-step explanation:

The surface area is  given by

SA = 2 ( lw+wh+lh)  where  l is length h is height and w is width

SA = 2(3*4 + 3*14+ 4*14)

     = 2(12+42+56)

    = 2(110)

    = 220

The calculated surface area of the net is 208 square units

Finding the surface area of the net

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

The net of the prism

The surface area of the net is then calculated as

Surface area = Area of big rectangle + 2 * Area of small rectangle

So, we have

Surface area = (14 + 3 + 14) * 4 + 2 * 3 * 14

Evaluate

Surface area = 208

Hence, the surface area of the net is 208 square units

Answer:

It would be $12.15.

Step-by-step explanation:

You would multiply 45% of 27.

45 * 27 = $12.15

Answer:

$12.15 is 45% of $27, so if the item was marked up, you add 12.15 and 27, and if it was marked down, you do 27 - 12.15

Step-by-step explanation:

a = p*w

a = .45*27

a = 12.15

hope this helps :)

The circle moves down

the circle moves left

the circle's radius increases

I took the test

The circle radius increases , the circle moves down and the circle moves left.

A circle is special kind of "ellipse in which eccentricity is zero and the two foci are coincident".

According to the question,

The circle x² + (y-7)² = 49. When the given circle changes (x+5)² + (y-4)² = 64

Equation of the circle = (x-a)² + (y-b)² = r²

x² + (y-7)² = 49

(x-0)² + (y-7)² = (7)²

The circle has center (0,7) and radius is 7.

Circle changes (x+5)² + (y-4)² = 64

(x+5)² + (y-4)²  = (8)²

The circle has center (5,4) and the radius 8.

Below diagram clearly shows the circle radius increases , the circle moves down and the circle moves left.

Learn more about Circle here

https://brainly.com/question/14338946

#SPJ2

Answer:

Susan invested some money (M) at 6% annual interest and 800 dollars at 7%. The money earned 128 dollars interest in a year. Then we have:

M x 6/100 + 800 x 7/100 = 128

=> M*0.06 = 128 - 800*0.07 =  128 - 56 = 72

=> M = 72/0.06 = 1200 dollar

Hope this helps!

:)

Answer: A, C, E

Step-by-step explanation:

Since it was only translated and reflected, nothing changed except for its location.

Therefore, I chose answers A, C, and E.

Hope this helps! :)

The probability of mean weight will exceed 2.1 ounces is 0.0912.

To solve this problem, we need to calculate the probability that the mean weight of the icing on a sample of 16 cupcakes exceeds 2.1 ounces, given that the distribution of the icing weights is normal with a mean of 2 ounces and a standard deviation of 0.3 ounce.

First, we need to find the standard error of the mean (SEM) for the sample of 16 cupcakes. The SEM is calculated by dividing the population standard deviation by the square root of the sample size:

[tex]\[ SEM = \frac{\sigma}{\sqrt{n}} = \frac{0.3}{\sqrt{16}} = \frac{0.3}{4} = 0.075 \][/tex]

Now, we need to find the z-score for the value of 2.1 ounces. The z-score is calculated by subtracting the population mean from the value in question and then dividing by the SEM:

[tex]\[ z = \frac{\bar{x} - \mu}{SEM} = \frac{2.1 - 2}{0.075} = \frac{0.1}{0.075} = \frac{4}{3} \approx 1.3333 \][/tex]

Next, we look up this z-score in the standard normal distribution table or use a calculator to find the probability of a z-score being less than 1.3333. This gives us the probability that the mean weight of the icing is less than or equal to 2.1 ounces.

[tex]\[ P(Z < 1.3333) \approx 0.9088 \][/tex]

However, we want the probability that the mean weight exceeds 2.1 ounces, so we need to subtract this value from 1 (the total probability):

[tex]\[ P(\bar{x} > 2.1) = 1 - P(Z < 1.3333) = 1 - 0.9088 = 0.0912 \][/tex]

Therefore, the probability that the mean weight of the icing on a sample of 16 cupcakes will exceed 2.1 ounces is 0.0912.

Step-by-step explanation:

f(n) = - 29 - f( n - 1 )

f(1) = - 16

Now

f(2) = - 29 - f ( 2 - 1 )

= - 29 - f ( 1)

= -29 - ( - 16)

= - 29 + 16

= - 13

Answer:

1/4

Step-by-step explanation:

There are 4 slot, he/she need 1 slot to win, so 1/4

Answer:

It would be 7 kilometers

Step-by-step explanation:

Because:

7 Kilometers = 8,000 meters

          and

800 meters = 0.8 kilometers

And because kilometers are longer than meters.

Hoped this works!

7 kilometers  is longer than 800 meters.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

We need to find which  measurement is longer

7 kilometers or 800 meters

1 kilometer is equal to 1000 meters, so

7 kilometers is equal

7 kilometers = 7 x 1000 meters = 7000 meters

Since 7000 meters is greater than 800 meters, we can conclude that 7 kilometers is longer than 800 meters

Hence, 7 kilometers  is longer than 800 meters.

To learn more on Unit of Measurement click:

https://brainly.com/question/15402847

#SPJ2

Explanation:

The rule is that

sin(A) = cos(B)

if and only if A+B = 90.

Solving for A gets A = 90-B

So we end up with

sin(90-B) = cos(B)

which is the same as

cos(B) = sin(90-B)

If the radius was 1, the angle θ is the arc length.  Here we have an arc length of 5 and a radius of 2, so an angle

θ = 5/2 radians

Not sure if they expect a fraction or a decimal.

Answer: 2.5 radians