Recipe for a cake needs 1 1/2 cups of milk. You are making 1/2 of the recipe. How much milk do you need

Answer:

106.4622 [tex]a^{3}[/tex]

Step-by-step explanation:

Given the information:

Use the pytagon theory to find the hypotenuse of the triangle

[tex]a^{2} + b^{2} = c^{2}[/tex]

<=>[tex]((3a)^{3}) ^{2} + ((4a)^{3}) ^{2} = c^{2}[/tex]

<=>[tex](3a)^{6} + (4a)^{6} = c^{2}[/tex]  

<=> [tex]c^{2} = 4285a^{6}[/tex]

Take the square root of both sides

<=> c = 69.4622 [tex]a^{3}[/tex]

=> expression in simplest form for the perimeter of a right triangle is:

[tex](3a)^{3}[/tex] + [tex](4a)^{3}[/tex] + 69.4622 [tex]a^{3}[/tex]  

= 27[tex]a^{3}[/tex]  + 64[tex]a^{3}[/tex]  + 69.4622 [tex]a^{3}[/tex]  

= 106.4622 [tex]a^{3}[/tex]

Answer:

The function g(x) = (x + 1)² is represented by the graph Y

Step-by-step explanation:

The question presents the graph of the function x² above

Therefore, for a function f(x) = x² at x = 0 y = 0

For function g(x) = (x + 1)² when x = 0 g(x) = 1  Satisfied by graph W and Y

Also we have g(x) =  (x + 1)² = x² + 2·x + 1  or g(x) = f(x) + 2·x + 1

We find the minimum of the graph by differentiating and equating to zero as follows;

[tex]\frac{\mathrm{d} (x + 1)^{2}}{\mathrm{d} x} = 2x +2 = 0[/tex]

Therefor, the minimum is at x = -1 satisfied by only graph Y

Hence the graph that represents the function g(x) = (x + 1)² is the graph Y.

Answer:

m = 3

Step-by-step explanation:

First, distribute the 5 to the values inside the parentheses.

6 + 5m + 5 = 26

Combine like terms: 5m + 11 = 26

Then, you want to isolate the variable so you subtract 11 from both sides because what you do on one side must be done to the other.

5m + 11 - 11 = 5m

26 - 11 = 15

5m = 15

Then divide both sides by 5.

5m / 5 = m

15 / 5 = 3

m = 3

Answer:

m=3

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Answer:

sqrt(292) = JK

The approximate answer is

17.08800749 = JK

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

We know the legs JL and LK and are looking for the hypotenuse JK which is opposite and L which is the right angle

6^2 + 16^2 = JK ^2

36 +256 = JK ^2

292 = JK^2

Take the square root of each side

sqrt(292) = sqrt( JK^2)

sqrt(292) = JK

The approximate answer is

17.08800749 = JK

Answer:

2sqrt(73)

Step-by-step explanation:

Since angle L is 90, JK is the hypotenuse

JK² = 6² + 16²

JK² = 292

JK = 2sqrt(73)

Where sqrt: square root

Answer: THe slope is 2 and y intercept is -3

Step-by-step explanation:

Answer:

Slope: 2

Y-intercept: -3

Step-by-step explanation:

The line is in point-slope form, or

y=mx+b

where m is the slope, and b is the y intercept

If we compare the 2 equations:

y=2x-3

y=mx+b

We can tell that the slope is 2, and the y-intercept is -3

Answer:

i) 1000 cm³

ii) 614.125 cm³

Step-by-step explanation:

Volume of cube = side³

i) 10³ = 1000 cm³

ii) 8.5³ = 614.125 cm³

Answer:

1000 = 10^3

614.125 = 8.5^3

Answer:

The median number of push-ups is 8.

Step-by-step explanation:

We use the median to find the "middle" value of a sample, that is, the value separating the lower half from the upper half of the sample.

If the size of the sample is even

1,2,3,4

Both the upper half and the lower half should have the same size.

In this case, it is not possible to select only one value which respects this condition. So the mean between 2 and 3 = 2.5 is calculated. This value is not part of the sample.

If the size of the sample is odd

1,2,3,4,5

For a n-sized sample, with n odd, the median is the value at the position (n+1)/2. So her, it is 3, the value at the third position. In this case, it is always going to be an element at a position in the sample, that is, an element of the sample.

In this question:

Initially, we list the number of pushups sorted in an increasing way.

6,8,8,14,18

The size of the sample is 5.

The median value is at the position (5+1)/2 = 3.

So it is 8, which is the element at the 3rd position.

Answer:

18

Step-by-step explanation:

The maximum number of push-ups that Justin did in a day this week was 18.

I also literally just did it

100% : 110%

x : 19.25

(cross multiply)

answer: 17.5

hope this helps

Answer:

B. 17%

Step-by-step explanation:

The probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 is given by the z-score and P ( 0.37 < x < 0.39 ) = 16.32 %

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 be P ( A )

Now , the mean of the sample μ = 0.38

The standard deviation σ = 0.0485

And , z₁ = 0.37 and z₂ = 0.39

So , P ( A ) = P ( 0.37 < x < 0.39 )

On simplifying , we get

z = (x - μ)/σ

z₁ = ( 0.37 - 0.38 ) / 0.0485

z₁ = -0.206

z₂ = ( 0.39 - 0.38 ) / 0.0485

z₂ = 0.206

So , P ( 0.37 < x < 0.39 ) = P ( -0.206 < z < 0.206 )

On further simplification of the z-score , we get

P ( 0.37 < x < 0.39 ) = 0.5816045 - 0.4183955

P ( 0.37 < x < 0.39 ) = 0.1632

Hence , the probability is 16.32 %

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Answer:it didnt

Step-by-step explanation:

Answer:

20.0434

Step-by-step explanation:

Circumference: pi x diameter

8 x 3.14 = 25.12

Therefore, the circumference of the circle is 25.12 kilometers.

The circumference of a circle with a diameter of 8 kilometers is 25.12 kilometers.

The formula to calculate the circumference of a circle is C = πd, where d is the diameter. In this case, the diameter is given as 8 kilometers. So, we can substitute this value into the formula:

C = 3.14 x 8 = 25.12 kilometers

Therefore, the circumference of the circle is 25.12 kilometers.

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Answer:

Gradient is -2/3 and y-intercept is -5/3.

Step-by-step explanation:

First, you have to make y the subject by moving all the unrelated terms to the other side :

[tex]3y + 2x + 5 = 0[/tex]

[tex]3y = - 2x - 5[/tex]

[tex]y = - \frac{ 2}{3} x - \frac{5}{3} [/tex]

Next, given that the slope-form equation is, y = mx+b where m is the gradient and b is the y-intercept. (*In a slope-form equation, gradient will always stick with x)

In the equation above, m is -2/3 and b is -5/3.

Answer:

g=2

Step-by-step explanation:

6(2+g)=24

Expanding the parentheses:

12+6g=24

Subtracting 12 from both sides:

6g=12

Dividing both sides by 6:

g=2

Hope this helps!

Answer:

g=2

Step-by-step explanation:

1. Distribute the left-hand side:

12+6g=24

2. Subtract 12 from both sides:

    12-12+6g=24-12

= 6g=12

3. Divide both sides by 6:

g=2

Answer:

290 cm sq.

Step-by-step explanation:

We can approximate this irregular figure as a trapezoid.

We know the area formula for a trapezoid is A = (1/2)*(base1 + base2)*height

A = (1/2)* (22 cm + 36 cm) * (10 cm)

A = (1/2) *( 58 cm)*10 cm

A = 29 cm * 10 cm

A = 290 cm sq.

The answer should be 290 cm2, i will post a comment here later if it is wrong or not. Have a good day :)

Edit: It was correct

The correct value of the length of a side = 2¼ ft

Answer:

area of the whole mosaic = 182.25 ft²

Step-by-step explanation:

We are told it has a 6 x 6 array of different colour square tiles.

Which means it has 6 x 6 = 36 square tiles.

Area of square = L²

Where L is length of side

Now, since length of one tile is 2¼ ft long.

Thus, area of one square tile = (2¼)²

= 81/16 ft²

Since there are 36 tiles,

Thus ;

Total area ; 81/16 x 36 = 182.25 ft²

Final answer:

The area of one tile in the mosaic is 5.0625 ft², and because there are 36 tiles in the mosaic, the total area is 182.25 ft². Mosaics are an ancient and durable art form requiring significant skill to create, especially when using small tesserae.

Explanation:

Francesca's window store created a mosaic for the community center that consisted of a 6 × 6 array of square tiles. To find the area of the whole mosaic, we need to calculate the area of one tile and then multiply it by the total number of tiles in the array.

Firstly, we have been given that each tile is 2 1/4 ft in length. Since the tiles are square, the area of one tile will be (2 1/4 ft) × (2 1/4 ft). In decimal form, 2 1/4 ft is equal to 2.25 ft. The area of one tile is therefore:

2.25 ft × 2.25 ft = 5.0625 ft²

Since there are 36 tiles (6 tiles in each direction), the total area of the mosaic will be:

5.0625 ft² × 36 = 182.25 ft²

Mosaics require considerable skill and time to create, especially when they employ tiny tesserae. As seen throughout history, mosaics have been used to decorate many surfaces, such as those in Francesca's example. The durability and artistic value of mosaics continue to make them a popular choice for artistic expression in structures like the community center.

Answer:

[tex] \sqrt{117} [/tex]

Step-by-step explanation:

Use the distance formula.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-1 - 5)^2 + (3 - (-6))^2} [/tex]

[tex] d = \sqrt{(-6)^2 + 9^2} [/tex]

[tex] d = \sqrt{36 + 81} [/tex]

[tex] d = \sqrt{117} [/tex]

The arc measure BDC that subtend the angle at the center P of the circle is  213 degrees

The arc measure of angle BDC is as follows;

AC and BD are the diameter of the circle.

∠BPD ≅ ∠APD

Therefore,

4k + 159 = 2k + 153

4k - 2k = 153 - 159

2k = -6

k = -6 / 2

k = -3

4(-3) + 159 = 147°

∠BPD ≅ ∠APD = 147°

Hence,

∠BPA ≅ ∠CPD = 33°

arc BDC = 33 + 147 + 33 = 213 degrees

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Answer:

90 and 30

Step-by-step explanation:

Answer:90 and 30

Step-by-step explanation:

9x10=90

3x10=30

Answer:

Step-by-step explanation:

Shape of the can is cylinder

r = 4 in

h = 15 in

Volume =πr²h

= 3.14* 4 * 4 * 15

=753.6 cubic inches

Since 24 = 8*3, we can factor out the GCF 8 like so

8x^2 - 24 = 8*x^2 - 8*3 = 8(x^2-3)

This is using the distributive property.

Answer:

6 ft³

Step-by-step explanation:

In this case, there are two square slabs and a rectangular cement slab in the middle. If each of the square slabs has a volume of 4 ft.³ and all three slabs have a total volume of 14 ft.³, then the middle slab has a volume of:

[tex]V = 14 - 4 -4\\V=6ft^3[/tex]  

The middle slab has a volume of 6 ft³.

Answer:

6

Step-by-step explanation:

cuse i just got it right on iready

Answer:

"Jeromar" give away more tickets

Step-by-step explanation:

What we must do is calculate the amount to which a ticket is equivalent, to do this, the value of the purchase must be divided by the number of tickets they give away, as follows:

"Colima"

150/4 = 37.5

In other words, they give away 1 ticket for $ 37.50

"Jeromar"

100/3 = 33.33

In other words, they give away 1 ticket for $ 33.33

Which means that "Jeromar give away more tickets, because the cost of the ticket is lower

Answer:

99°

Step-by-step explanation:

When straight lines intersect, vertical angles appear.

Vertical angles are ALWAYS equal in measure,  whether the lines are parallel or not.

B) 99°

Step-by-step explanation:

The crossing angles have the same angle.

So, the missing angle is 99° (B)

Hope it helpful and useful :)

Answer: 3,017.5 cubic centimeters.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of each cd case:

Volume of a rectangular prism= length x width x height

Replacing with the values given:

V = 14.2 x 12.5 x 1 = 177.5 cubic centimeters.

Since there are 17 cases in the stack, we have to multiply the volume one case by 17.

177.5 x 17 = 3,017.5 cubic centimeters.