Given the vertex form of a parabola​

Answer:

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].

Step-by-step explanation:

The equation of the parabola in intercept form is defined by following formula:

[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Vertex constant.

[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.

According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:

[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]

[tex]a = -\frac{3}{4}[/tex]

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].

Answer:

Ten thousands place.

Answer:

10

Step-by-step explanation:

sqrt (8^2+6^2) = 10

hope it helps

Step-by-step explanation:

Here is the correct answer.See the pic

Ps:Can I be the brainliest.Thx

The grouping of data  or sample points is a component of the machine learning process known as clustering.

The task of arranging a set of objects into an identical group in a way that makes them more similar to one another than those found in different groups is known as cluster analysis or clustering.

here, we have,

A scatter plot is an unique type of plot or mathematical diagram that displays data for usually 2 parameters for a collection of data. It uses Cartesian coordinates.

Coordinates, it is a set or group of values that show an exact or accurate position.

Hence, The grouping of data  or sample points is a component of the machine learning process known as clustering.

To learn more about Clustering, visit:

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Step-by-step explanation:

V=pi r^2h

V=3.14x3^2x7

=197.82

Answer:

V ≈ 198 m³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here diameter = 6, then radius r = 3 and h = 7 , then

V = 3.14 × 3² × 7 = 3.14 × 63 ≈ 198 m³ ( to the nearest whole number )

Answer:

17.5 seconds

Step-by-step explanation:

140 cm/35 sec (find unit rate)

4 cm/ 1 second

[tex]\frac{4}{1} = \frac{70}{x}[/tex] (divide 70 by 4)

70/4=17.5

[tex]\frac{4}{1} = \frac{70}{17.5}[/tex]

Answer:

640 yard²

Step-by-step explanation:

From the question,

The surface are of a triangular prism is given as

A = bh+2ls+lb.................. Equation 1

Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s =  length of one of the other sides of the triangle

Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.

Substitute these values into equation 1

A = [(12×8)+(2×17×10)+(17×12)]

A = 96+340+204

A = 640 Yard²

Answer:

81.03

Step-by-step explanation:

(16.9-5.47)×7.09

(11.43)×7.09

81.0387

OR

81.03

HOPE THIS HELPS YOU

Answer:

The answe is 34. Hope this helped!

Step-by-step explanation:

multippy all the given measurements:

24× 5.5.× 4.5

you will get area as :

594 cm²

Answer:

5 m

Step-by-step explanation:

A model car is made to a scale of 1:50 (model: real).

If the model has a length of 10 cm, calculate the length of the real car (answer in meters).

We have a scale of :

model: real = 1:50

The model has a length of 10cm

Hence:

1 cm = 50 cm

10 cm = x cm

Cross Multiply

x cm × 1cm = 10 cm × 50 cm

x cm = 10 cm × 50 cm/1cm

x cm = 500 cm

The length of the real car is 500cm

Converting the length of the real car to meters

100cm = 1 m

500 cm = x m

Cross Multiply

100cm × x m = 500 cm × 1 m

x m = 500 cm × 1 m/100 cm

x m = 5 m

The Length of the real car in meters is 5m

Answer:

31.92%

Step-by-step explanation:

We are given;

Population mean; μ = $3.12

Sample mean; x¯ = $3.16

Sample size; n = 10

Standard deviation; σ = $0.27

Z-score formula is; z = (x¯ - μ)/(σ/√n)

z = (3.16 - 3.12)/(0.27/√10)

z = 0.04/(0.08538)

z ≈ 0.47

Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;

P(x¯ > 3.12) = 1 - P(z < 0.47)

From z-table attached P(z < 0.47) = 0.68082

Thus;

P(z > 0.47) = 1 - 0.68082

P(z > 0.47) ≈ 0.3192

This expressed in percentage is 31.92%

Answer:

The length EF is 7 units.

Step-by-step explanation:

The length between the points E and F, using the plot below, is:

[tex]\bar{EF}=7\: u[/tex]

Therefore the length EF is 7 units.

I hope it helps you!

Answer:

5

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

because im always right

Answer:

180 degrees

Step-by-step explanation:

All triangles have an interior angle sum of 180 degrees.

Answer:

Maybe if you give a better quality photo that isn't sideways! :D

Step-by-step explanation:

Answer:

81.6

Step-by-step explanation:

C = 3.14(2x13)

C = 3.14 x 26

C = 81.64

Rounded to the nearest tenth = 81.6 Inches

Answer:

[tex]1 \frac{36}{84} [/tex]

simplified :

[tex]1 \frac{3}{7} [/tex]

Step-by-step explanation:

first, we turn them into improper fractions

[tex]3 \frac{ + 3}{ \times 4} \div 2 \frac{ + 5}{ \times 8} [/tex]

First, we multiply 3×4=12+3=15 the demoninator will remain the same.

2×8=16+5=21, denominator remains the same.

[tex] \frac{15}{4} \div \frac{21}{8} [/tex]

when it comes to division with fractions, you flip the right(direction)fraction then multiply.

[tex] \frac{15}{4} \times \frac{8}{21} [/tex]

15×8=120

4×21=84

[tex] \frac{120}{84} [/tex]

then turn in back into a mixed fraction.

[tex]1 \frac{36}{84} [/tex]

demoninator remains the same, how many times 84 goes into 120, which is once(whole number) and how many is left over (numberator)

Answer:

x = 6

Step-by-step explanation:

A = 1/2bh

36 = 1/2(12)(x)

x = 6

Answer:

kml

Step-by-step explanation:

got it right

Answer:

triangle KML or answer C is corrreeeccttt

Step-by-step explanation:

edgee

Answer:

√{587×587}=√587²=±587 is your answer

Answer:

587

Step-by-step explanation:

If you look at the problem carefully, you will see that the question is basically just asking "what is the square root of 587 squared?" The square root and squared of something always cancel out, so the answer would be 587.

You could also just use your calculator. If you don't have one, your phone or computer should. Just plug it in and it will solve for you.

Hope this information helps. Please let me know if you need any more help!

Answer:

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

Step-by-step explanation:

step 1: I am going to convert the measurements

into decimals

8/5=1.6

2/5=.4

step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour

1.6=.4

 1=?

1*.4=.4/1.6=.25

step 3:  I will convert .25 into a fraction

.25=1/4

for every 1/4 pound pumpkin, I will use 1 pound of flour

which is why

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

the formula for the area of a rectangle is (length × width) in this case  (length × width) = 42

if the length is 7... then what # times 7 = 42? The width has to 6.

to find the perimeter... (2 × length ) + (2 × width) = Perimeter

OR

length + length + width + width = perimeter

7 + 7 + 6 + 6 = ?

Th answer: 26 inches

Answer:

Ramon would need 27 bags

Step-by-step explanation:

This is because if you divide 6.75 by 0.25 you would get 27

Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.

To determine the number of 0.25 kg bags Ramon needs for his 6.75 kg coffee, we divide the total weight of the coffee by the weight of each bag.

Total weight of coffee = 6.75 kg

Weight of each bag = 0.25 kg

Number of bags = Total weight of coffee / Weight of each bag

Number of bags = 6.75 kg / 0.25 kg

Calculating this division, we find:

Number of bags = 27

Therefore, Ramon needs 27 bags of 0.25 kg each for his 6.75 kg coffee.

To know more about bags click here :

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Answer:

C

Step-by-step explanation:

Answer:

just add

Step-by-step explanation:

96

Answer:

110 women, see below for explanation. (hope this helps)

Step-by-step explanation:

3 to 5

3x + 5x = 176

8x = 176

x = 176/8

x = 22

3*22 = 66 men

5*22 = 110 women

Answer:

sorry kid idontknow

Step-by-step explanation:

Answer:x=5 and x=-5

Step-by-step explanation:

Answer:

Options (1), (3), (5) and (6)

Step-by-step explanation:

Option (1)

Both the circles M and H are same in shape. Therefore, both are similar.

True

Option (2)

MH = MS = [Radii of a circle]

MH = MO + OH

MH = ME + OH [Since, MO = ME]

MH = 10 + 25 = 35 cm

Area of circle M = πr²

                          = π(35)²

                          = 1225π

Area of circle H = π(25)²

                           = 625π

[tex]\frac{\text{Area of M}}{\text{Area of H}}=\frac{1225\pi }{625\pi }[/tex]

Area of M = 1.96(Area of H)

False

Option 3

OH + MS = 25 + 35

               = 60 cm

True

Option 4

m∠HMS = 90°

Can't be figured out with the given informations

False

Option 5

Diameter of circle H = 2(radius)

                                 = 2(25)

                                 = 50 cm

True

Option 6

Circumference of circle S = 2πr

                                           = 2π(ES)

Circumference of circle M = 2π(MS)

Ratio of the circumference of circle S and M = [tex]\frac{2\pi (ES)}{2\pi (MS)}[/tex]

                                                                          = [tex]\frac{ES}{MS}[/tex]

True.

Options (1), (3), (5) and (6) are correct.                    

Answer:

B os correct because its multiplied itself 5 times