Find the y-intercept of y=ax^2+bx+c

Answer:

Ria is older than Amit

Step-by-step explanation:

x is ria's age

x = 1/2 x + 5

(subtract 1/2 x from both sides)

1/2 x = 5

(divide by 1/2)

x = 10

Ria is 10

x/2 + 5 is Jay's age

10/2 + 5 = 10

Ria and Jay are the same age, so if Jay is older than Amit, Ria is as well.

The volume of the given hemisphere is 59131.7 inches³.

What is a hemisphere?

Hemisphere is the exact one-half of the sphere.

given, diameter of the hemisphere is = d = 60.9 inches

Therefore, radius = d/2 = 60.9/2 inches = 30.45 inches.

Hence, the volume = (2/3) × π × r³ =  (2/3) × π × (30.45)³ inches³ = 59131.7 inches³.

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We have to divide the shape into two

It will give us a Rectangle and a Trapezium

Answer:

7, 14, 21

Step-by-step explanation:

for n as term number

n = 1

7n = 7

n = 2

7n = 14

n = 3

7n = 21

hence the first 3 terms are 7, 14, 21

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

Perimeter expression: 3x-3+3x+x+4

Area expression: ( (3x-3)*(x+4) ) / 2

X= 5

Step-by-step explanation:

Perimeter is all the sides added together.

Area is base times height divided by 2

If perimeter is equal to 36 set the perimeter equation to 36 and solve for x.

Answer:

5

Step-by-step explanation:

double 5 is 10

10+3=13

13 multiplied by 4=52

Answer:

60

Step-by-step explanation:

210÷3.5=60

3.5x60=210

Hope this helps!

: )

The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2

Answer:

15.4

Step-by-step explanation:

rounded its 15

A planning phase for an engineering component generated 80 engineering drawings. The QA team randomly selected 8 drawings for inspection. This exercise can BEST be described as example of random sampling.

The exercise can be described as an example of random sampling, which is a statistical technique used to select a subset of individuals or items from a larger population, in a way that each member of the population has an equal chance of being selected. In this case, the 80 engineering drawings represent the population, and the QA team randomly selecting 8 of them for inspection is a form of random sampling.

By selecting the drawings randomly, the QA team can get an unbiased representation of the population and make inferences about the quality of the engineering component as a whole based on the inspection results of the selected subset.

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To get this answer, we'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(35) = b/c

cos(35) = b/280

280*cos(35) = b

b = 280*cos(35)

b = 229.362572400918

b = 229

When you use your calculator, make sure it's in degree mode.

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Answer:

= Multiply 8 and 7

= Add 56 and 6

= Write 62 with a denominator of 7

Step-by-step explanation:

The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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Answer:

1×-5= -5squared =25+(4×-4squared)=25+(-16)=9

Answer:

16.642cm

Step-by-step explanation:

Diameter of a circle = 5.3cm

Circumference of a circle = π(d)

                                          = π x 5.3

                                          = 3.14 x 5.3

                                          = 16.642cm

Answer:

C= pi x diameter

= 5.3pi

Answer is 16.65cm to 2 d.p

Hope this helps!

Answer:

12/18 = 2/3

9/12 = 3/4

sorry if this doesn’t help!

solving eqn 1st

x =2

y. 3

3x=2y

x =2y

3

again putting the value of y in eqn 1st

x= 2y

3

x= 2×9

3

x=18

3

x =6

now,

solving, eqn 2nd

y = 3

12. 4

4y =36

y=36

4

y=9

hence,

the value of x =6 and y= 9.

hope it help u.

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

The 89 scores are all within one standard deviation of the mean.

The range of data within one standard deviation of the mean is expressed as the mean plus or minus one standard deviation.

Since the mean in this situation is 80 and the standard deviation is 4, the range that falls within the mean's one standard deviation is as follows:

\(80±4 = (76, 84)\)

Therefore, scores A (75) and B (77) are both below this interval, score C (90) is above this interval, and score D (90) is much higher than this interval. Only score E (89) is within this interval

The 89 scores are all within one standard deviation of the mean.

so E) 89 is the right response.

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Answer: 15 m

Step-by-step explanation:

Given

Total volume of the combined pyramid is \(V=2700\ mm^3\)

Height of top and bottom pyramid is

\(h_t=16\ mm\)

\(h_b=20\ mm\)

If the base has a side length of x, its area must be \(x^2\)

Volume of square prism is given by

\(\Rightarrow V=\dfrac{1}{3}Bh\quad [\text{B=base area}]\\\\\text{Total volume will be the sum of the two pyramids}\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times 16+\dfrac{1}{3}\times x^2\times 20\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times (16+20)\\\\\Rightarrow x^2=225\\\Rightarrow x=15\ mm\)

Thus, the value of \(x\) is 15 m.

Answer:

this is a nonlinear function

Step-by-step explanation:

a linear function is when the y value increases the same amount every time the x value increases by 1(or any constant interval). in this problem when x increases 1, they y value increases by 2 for the first 3 sets of numbers, but in the 4th set of numbers the x value increases by 1 and the y value increases by 2. This does not follow the same pattern and therefore makes this nonlinear. A quicker way to figure this out when you have a graph like this is to draw a line through all the points in order of increasing x values or vice versa if the line you drew is straight all the way through then it is linear and if it isn't then it is nonlinear. I hope this helped.

the area of a regular polygon is

A = p x a/2

where p is the perimeter of the polygon,

a is the apothem.

p = sn

n is the number of sides

s is the sides length

p = 6.7 x 7

p = 46.9

therefore,

A = 46.9 x 7/2

A = 328.3/2

A = 164sq.u

The remaining angle of the triangle ABC is 59° 0'

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

A 110° 50', C= 10° 10', AB=7

The sum of angles in a triangle is 180 degrees

Using the above as a guide, we have the following:

A + B + C = 180

Substitute the known values in the above equation, so, we have the following representation

110° 50' + B + 10° 10' = 180

So, we have

120° 60' + B  = 180

Convert to degrees

This gives

121° + B  = 180

Evaluate the like terms

B = 59

Convert to degree and minutes

B = 59° 0'

Hence, the remaining angle of the triangle ABC is 59° 0'

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Step-by-step explanation:

start by adding together the numbers in the right hand column

Answer:

2.8 I think

Step-by-step explanation:

plz tell me if its wrong

The gardener used 36.9 gallons of gasoline in the lawnmowers in that month.

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

We know that the gardener used a total of 61.5 gallons of gasoline in a month and that 3/5 of that total was used in the lawnmowers.

To find out how much gasoline the gardener used in the lawnmowers, we need to multiply the total amount of gasoline by 3/5:

61.5 gallons x 3/5 = 36.9 gallons

Therefore, the gardener used 36.9 gallons of gasoline in the lawnmowers in that month.

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The probability of observing any particular value for a four-degrees-of-freedom t-distribution is nearly zero, and the likelihood that a population item will have a value for this distribution is equal to 1.

When estimating the mean of a normal t-distribution from a small sample in statistics, the t-distribution with four degrees of freedom emerges as a continuous probability distribution.

Given that a t-value t-distribution can be any real number, the likelihood that a population item will have a value for a t-distribution with four degrees of freedom is equal to 1.

In other words, since the distribution is continuous and has an infinite number of possible values, the likelihood of detecting any specific value for a t-distribution with four degrees of freedom is infinitesimally small.

Therefore, The probability of observing any particular value for a four-degrees-of-freedom t-distribution is nearly zero, and the likelihood that a population item will have a value for this distribution is equal to 1.

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This is true because coordinates (0.8, 0.6) satisfy the equation x² + y² = 1.

The approximate angle measures needed to intersect at (0.8, 0.6) and each of these new points is 38.66 degrees.

Other points on the unit circle are (0.6, 0.8), (-0.8, 0.6), (-0.6, -0.8), and (0.8, -0.6).

The coordinates (0.8, 0.6) lie exactly on the unit circle because they satisfy the equation x² + y² = 1, which defines the unit circle. Plugging in x = 0.8 and y = 0.6 gives 0.8² + 0.6² = 1, which is true.

To find the angle measure needed to intersect at (0.8, 0.6) and each of the new points, we can use the inverse tangent function. If we let theta be the angle between the positive x-axis and the line connecting the origin and the point of intersection, then we can use the equation tan(theta) = y/x to find the angle. For example, to find the angle needed to intersect at (0.8, 0.6) and (1, 1), we have tan(theta) = 0.6/0.8, which simplifies to theta = arctan(0.6/0.8) ≈ 38.66 degrees.

The other points on the unit circle that also lie exactly at the intersection of two grid lines are (0.6, 0.8), (-0.8, 0.6), (-0.6, -0.8), and (0.8, -0.6). These points can be obtained by reflecting (0.8, 0.6) across the x-axis, y-axis, or both.

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