This is solving equations with product and sum I already did the question a) but I’m having trouble with b)

Answer:

6

Step-by-step explanation:

We have a sphere of radius 4

r = 4

We know that the equation for the volume is:

We know that:

r = 4

and

π = 3.14

Then, we replace in the equation:

Since

4³ = 64

then

We want to round our answer to the nearest hundredth (two numbers after the decimal point).

For this case we have two options:

267.94 or 267.95

Since

267.9500 is nearer to 267.9467

than

267.9400

then the answer is 267.95

Answer: the volume of the sphere is 267.95 units³ or (256/3)π units³

7/12 of the people who visited the West branch of the store indicated that they had not purchased the product.

Out of the 168 people who visited the West branch of the store,

98 indicated that they had not purchased the product.

Therefore, the fraction of people who visited the West branch and had not purchased the product is:

98/168

Simplifying this fraction by dividing the numerator and denominator by 14, we get:

7/12

Hence, 7/12 of the people who visited the West branch of the store indicated that they had not purchased the product.

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Denis's and Dasha's methods use different operations to simplify the expressions in different orders.

Denis's method uses addition, subtraction, and multiplication operations, but Dasha's method does not.

Multiplication operations are described as using mathematical operation that indicates how many times a number is added to itself.

Denis's Assignment

2* 6+2w-54

12+2w = 54

12-12+2w= 54-12

2w=42

w= 21  

Dasha's Assignment

54-2* 6

54-12= 42

The two widths add to 42 cm

42/ 2-21

We can see that Dasha's method also uses addition and subtraction operations, but she simplifies the expression by performing the operations in a different order.

She subtracts the product of 2 and 6 from 54.

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The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

y²=20x

Step-by-step explanation:

Note: I'm assuming you mean x=-5 for the directrix because what you're asking isn't possible

Since we are given a horizontal directrix, the parabola must also be horizontal.

Horizontal Parabola:

(y-k)² = 4p(x-h)

Vertex: (h, k)

Focus: (h+p, k)

Directrix: x = h - p

Since the focus of the parabola is (5,0), then k=0 and h+p=5. We also know that since the directrix is x=-5, then -5=h-p. If we set these equations equal to each other, we can solve for h and p:

h+p=5

h-p=-5

2p=10

p=5

Since p=5, then h=0. Therefore, we have for our equation of the parabola:

(y-k)² = 4p(x-0)

(y-0)² = 4(5)(x-0)

y²=20x

Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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Answer:

The large sample size 'n' = 384.16

Step-by-step explanation:

Explanation:-

Given Margin of error = 4

Given Population standard deviation(σ)  = 40

The margin of error is determined by

\(M.E = Z_{0.05} \frac{S.D}{\sqrt{n} }\)

\(4 = 1.96 \frac{40}{\sqrt{n} }\)

Cross multiplication , we get

\(\sqrt{n} = \frac{40 X 1.96}{4}\)

√ n = 19.6

squaring on both sides , we get

n = 384.16

Final answer:-

The large sample size 'n' = 384.16

Answer:=y^3z^7y

Step-by-step explanation:

Answer:

x=5+b/2

Step-by-step explanation:

move all terms that dont contain x to the right, and solve

Answer:

2 times 6-2+10

Step-by-step explanation:

26 - 4t = 16t + 10

Add -16t in both sides

26 - 4t -16t = 16t + 10 - 16t

Simplify

26 - 20t = 10

Add - 26 in both sides

26 - 20t - 26 = 10 - 26

Simplify

-20t = -16

Divide both sides by -20

t = -16/-20

Simplify

t = 8/10

t = 4/5

Result

t = 4/5

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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The ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

A set of ordered equation represents a linear function if the domain of the coordinates are not repeated.

For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.

From the given linear functions, the ordered pairs that represents a function y in terms of x are  {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}

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Answer:

2x

Step-by-step explanation:

The expression for " double the quantity x " is 2x.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

We have to double the quantity x.

Here double means two times of the quantity.

As, we have the quantity x.

Then, two times of the quantity is 2(x) = 2x

Hence, the expression for " double the quantity x " is 2x.

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Answer:

Wrong

Step-by-step explanation:

You must be more specfic about how many 1000's

Answer:

Step-by-step explanation:

We know that the sides in a square are equal length. We also know that you have to multiply length by width to get area. So if we know that the length of one side is 16 feet then all we have to do if multiply 16 by 16. Hence why the answer is 256 square feet of carpet.

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.

Answer:

2069 grams

Step-by-step explanation:

Assume that the box itself is massless so the weight is only due to the spheres only. Calculate the volume of a solid sphere of radius 3 in:

Vout = (4/3)pi(3^3) = 36pi in^3

Now calculate the volume of a solid sphere of radius 2 in:

Vin = (4/3)pi(2^3) = (32/3)pi in^3

To calculate the volume of the hollow sphere, subtract Vin from Vout:

Vnet = Vout - Vin = (76/3)pi

Since the density of the plastic is 3.25 g/in^3, the mass of each hollow sphere is

m = (density) × Vnet = (3.25 g/in^3)×(76/3)pi

= 258.7 g

Since there are 8 spheres in a box, the total weight of the box is

M = 8m = 2069 grams

Answer:

The rate of change is 10%

Step-by-step explanation:

The computation of the rate of change is as follows:

Given that as on Jan 15, the snow pack is 150 inches

And, the last year, it would decrease by 11 inches a week after jan 15

So, the rate of change is

= 15 ÷ 150

= 10%

Answer:

slope = 4/1 or 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Use the slope formula. change in y/change in x. The change in y is 4 because if your subtract the y coordinate 4 from the y coordinate 8, you get 4. The change in x is 1 because if you subtract the x coordinate 2 from the x coordinate 3, you get 1. 4 (change in y)/1 (change in x) is 4. Hope this helps!

It looks like the given complex number is

z = ((1 + i )¹⁰ - 1) / ((1 + i )¹⁰ + 1)

Let w = 1 + i, so we rewrite

z = (w ¹⁰ - 1) / (w ¹⁰ + 1)

Since w * = 1 - i, we get w w * = (1 + i ) (1 - i ) = 1 - (-1) = 2. Multiply z by ((w *)¹⁰ + 1) / ((w *)¹⁰ + 1). This gives

z = (2¹⁰ - 1 + w ¹⁰ - (w *)¹⁰) / (2¹⁰ + 1 + w ¹⁰ + (w *)¹⁰)

Now, writing w in polar form yields

w = √2 exp(i π/4)

==>   w ¹⁰ = (√2)¹⁰ exp(i 10π/4) = 2⁵ exp(i 5π/2) = 2⁵ i

Similarly,

w * = √2 exp(-i π/4)

==>   (w *)¹⁰ = -2⁵ i

So we have

w ¹⁰ + (w *)¹⁰ = 0

w ¹⁰ - (w *)¹⁰ = 2 × 2⁵ i = 2⁶ i

Then we end up with

z = (2¹⁰ - 1 + 2⁶ i ) / (2¹⁰ + 1) = (1023 + 64i ) / 1025

Answer:

15/17

Step-by-step explanation:

Since this is a right triangle,

sin theta = opp/ hypotenuse

sin Z = 15/17

Answer:

26 and 32 are the two numbers, the product is 832

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

Step-by-step explanation:

\(\sqrt{2} cos x-1=0\\cos x=\frac{1}{\sqrt{2} } =cos (\frac{\pi }{4} ),cos (2\pi -\frac{\pi }{4} )\\cos x=cos(2n\pi +\frac{\pi }{4} ),cos(2n\pi +\frac{7\pi }{4} )\\x=2n\pi +\frac{\pi }{4} ,2n\pi +\frac{7\pi }{4} \\n=0\\x=\frac{\pi }{4} ,\frac{7\pi }{4}\)

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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Answer:

2231+2222

Step-by-step explanation:

2+32+2+2+3+23+23+232+32+323+