30% of the members of a tennis club are pensioners. 36 members are pensioners


a) how many members there in total ?


b) how many members are not pensioners

Answer:

9 bagels

Step-by-step explanation:

Divide the price ($6.75) by the price of one bagel ($0.75) to get the amount of bagels Jan bought. (9)

Answer:

120 in ³

Step-by-step explanation:

Volume is

Length x width x height

4x10x3=120

Answer:

X=84.6

Step-by-step explanation:

732=9x-30

You subtract 30 from both sides which leaves us with

762=9x

Then you divide both sides by 9

So x=84.66

Answer:

84.66

Step-by-step explanation:

732=9x-30

732+30=9x

(732+30)/9= x

x = 762/9 = 84.667

The equation of the given graph in the factored form is

(x - 3)²(x - 2)(x - 1).

How the Factored form displays the x-intercepts?

The equation y = ax² + bx + c is in factored form when it is written as

y = a(x - r₁)(x - r₂).

The x-intercepts of the function are the values of x for which y = 0.

So they are the values of x that satisfy the equation 0 = a(x - r₁)(x - r₂).

According to the given question:

Check the graph to find the values of x for which y = 0.

From the graph clearly x-intercepts are 1, 2 and 3.

Therefore (x -1), (x - 2) and( x- 3) will be the factors of the equation of this graph.

Option 4 is the only option satisfying the factors.

Hence (x - 3)²(x - 2)(x - 1) is the equation of the graph.

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The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})

List five vectors in Span {v_1, v_2}?

1) V1+v2={8,2,-7 }+{-6,4,0 }

={2,6,-7}

2) 2v1+v2={16,4,-14}+{-6,4,0}

={10,8,-14}

3)2v1+2v2={16,4,-14}+{-12,8,0}

={4,12,-14}

4)V1-v2={8,2,-7}-{-6,4,0}

={14,-2,-7}

5)2v1-v2={16,4,-14}-{-6,4,0}

={22,0,-14}

All of these vectors are contained within the span.

{v1,v2}={av1+bv2:ab∈r}

A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about   Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram       has      20     pens       and       7       pencils,

Rohan    has      15     pens       and       5       pencils,

Yash       has      12     pens       and       3       pencils

Now, this could be arranged in tabular form as follows,
⎢20  7⎢
⎢15   5⎢                            
⎢12   3⎢        

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Answer:

An inconsistent system doesn't have a solution.

Answer:

B. Technological advancement in new discoveries in health care

Hope this helps :)

Answer:

B

Step-by-step explanation:

ed2020

Jill should expect an additional 30 to 45 hours of homework each week.

As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.

However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.

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Answer:

The answer is 15%

Step-by-step explanation:

Hope that helps.

Answer:

y=2x-4

Step-by-step explanation:

Answer:

-8%

Step-by-step explanation:

Given : The humidity dropped an average of  each hour over the last six hours.

which can be written as  

Then , the total change in humidity in 6 hours will be:-

Hence, the total change in humidity = -8%

Answer:

Option d

d) f(x)=6x^3+1

Step-by-step explanation:

Given data

a) f(x)=6^x+1

b) f(x)=6x^2+1

c) f(x)=6x+1

d) f(x)=6x^3+1

In all option d is the function that increases at the fastest rate, this is because the  power of x is the highest

Answer:

Option d

d) f(x)=6x^3+1

Step-by-step explanation:

Given data

a) f(x)=6^x+1

b) f(x)=6x^2+1

c) f(x)=6x+1

d) f(x)=6x^3+1

In all option d is the function that increases at the fastest rate, this is because the  power of x is the highest

Step-by-step explanation:

Answer:

the answer is b

Answer:

9a^4-a^2b-8b^2

Step-by-step explanation:

multiply parentheses

calculate

collect like terms

Answer:

She spends 36 minutes doing backstroke.

Step-by-step explanation:

\(0.4\) × \(90 = 36\)

Answer:

4.089, 4.87 4.881 , 4.89

Step-by-step explanation: this is true because for 4.89 you would just add a 0 to make it 4.890

After compressing the graph vertically by a factor of 1/3 and reflecting it in the x-axis, the corresponding points on the graph are (-4, -1/3) and (3, 2).

The original points (-4, 1) and (3, -6) on the graph of the function y = f(x).

First, compressing the graph vertically by a factor of 1/3 means that the y-coordinates of the points will be multiplied by 1/3.

For the point (-4, 1):

After the vertical compression: (-4, 1 * 1/3) = (-4, 1/3)

For the point (3, -6):

After the vertical compression: (3, -6 * 1/3) = (3, -2)

Now, reflecting the graph in the x-axis means that the sign of the y-coordinate will change.

For the point (-4, 1/3):

After reflection in the x-axis: (-4, -1/3)

For the point (3, -2):

After reflection in the x-axis: (3, 2)

Therefore, the corresponding points on the graph, obtained by compressing vertically by a factor of 1/3 and reflecting in the x-axis, are (-4, -1/3) and (3, 2).

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The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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Answer:

y= 2200 (3/4)x

Step-by-step explanation:

You can model a real-world situation involving an initial value and a constant growth or decay factor with an exponential equation in the form y=a(b)x, where b>0 and b≠1.

The constant a represents the initial value. It is the y-value of the equation when x=0.

The constant b represents the growth or decay factor.

When the equation models exponential growth, b>1.

When the equation models exponential decay, 0<b<1.

An exponential equation in the form y=a(b)x can model the value of the machine, y, x years after purchase. To write the equation, first look for phrases in the problem that tell you about the initial value, a, and the growth or decay factor, b.

Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses  1/4 of its value every year.

The constant a is the initial value. The initial value of the machine is $2,200. So, a=2,200.

The constant b is the decay factor, since the value of the machine is decreasing. The machine loses 1/4 of its value each year. In other words, the value of the machine each year will be 1–1/4= 3/4

times the value the year before. So, b= 3/4.

The exponential equation y= 2200 (3/4)x models the value of the machine.

An exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase is y= 2200*14*x

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. In mathematics, a linear equation is an equation that may be put in the form \({\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}}\) are the coefficients, which are often real numbers.

Given that;

The cost of tshirt printing machine= $2200.

The lose of machine= 14

Now,

Substituting all the values in equation y=a(b)x

a=2200

b=14

y=2200*14*x

Therefore, the linear equation of the question will be y=2200*14*x

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Answer:

Step-by-step explanation:

Required condition for SSS is three sides congruence.

We have:

We observe:

We need:

TW must be congruent or equal to XY

Because

It's sss i e side-side-side

Here

Hence only one more side is required

Answer: 1 3/4 gallons

Step-by-step explanation:

Here's the complete question:

Tyler used 1 1/4 gallons of paint to paint 5/7 of a fence. how many gallons will it take to paint the whole fence ?

Let the gallons to paint the whole fence be x

1 1/4/x = 5/7

1.25/x = 5/7

Cross multiply

(5 × x) = (1.25 × 7)

5x = 8.75

x = 8.75/5

x = 1.75 = 1 3/4 gallons

Answer:

A

Step-by-step explanation: got 100 on it

Answer:

y = -6x + 6

Step-by-step explanation:

The general equation of a line is

y = mx + b

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

The slope in the first equation is 1/6

Mathematically, when two lines are perpendicular, the product of their slopes is -1

1/6 * m2 = -1

m2 = -6

So we have the equation as;

y-y1 = m(x-x1)

y-23 = -6(x + 3)

y = -6x -18 +23

y = -6x + 6

Answer:

about =502.65

Step-by-step explanation:

a. The point (0.25, 13.813) on the graph means that when the length of the cutout square is 0.25 inches, the volume of the box is 13.813 cubic inches.

b. When the cutout length is 2 inches, the volume of the box is 30 cubic inches. This means that the point (2, 30) is on the graph above.

c. The volume of the box will decrease as the cutout length gets larger over the interval (2/3, 3.5].

a. The point (0.25, 13.813) on the graph means that when the length of the cutout square is 0.25 inches, the volume of the box is 13.813 cubic inches.

b. The box's volume is 30 cubic inches when the cutout length is 2 inches.This means that the point (2, 30) is on the graph above.

c. The volume of the box will decrease as the cutout length gets larger when the derivative of the volume with respect to the cutout length is negative. The box's volume is determined by:

\(V(x) = x(8-2x)^2 = 4x^3 - 32x^2 + 64x\)

Inferring the derivative from x, we obtain:

\(V'(x) = 12x^2 - 64x + 64\)

Setting V'(x) < 0, we have:

\(12x^2 - 64x + 64 < 0\)

Dividing both sides by 4, we get:

\(3x^2 - 16x + 16 < 0\)

Using the quadratic formula, we find the roots of the quadratic equation:

x = (16 ± √16) / 6

x = (8 ± 2)/3

x = 10/3 or x = 2/3

Since the coefficient of the \(x^2\) term is positive, the graph of V'(x) is a parabola opening upwards. Therefore, the volume of the box will decrease as the cutout length gets larger over the interval (2/3, 3.5].

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Let us see a definition and example of each transformation.

The shape is flipped across an imaginary line to make mirror images.

The shape is moved around a point.

The shape is moved from one position to another in any direction.

In this case, we have a yellow point and a red shape that moves around the point.

Therefore, the transformation that is demonstrated when the fan blades turn is a rotation.

Answer:13/24

Step-by-step explanation 1. the desired probability is the sum of the probabilities of two disjoint events. In the first event, an apple is selected from the first basket and an orange is selected from the second basket; the probability of this event is (4/6)(5/8)=20/48.                                                           2. In the second event, an orange is selected from the first basket and an apple is selected from the second basket; the probability of this event is (2/6)(3/8)=6/48. Therefore, the desired probability is 20/48+6/48=26/48=13/24.

Answer:

Answer:

The area is 30 sqr yds

Step-by-step explanation:

Let suppose the given area is a box or a room.

Let length = 3yds

Let width = 10 yds

Area of a rectangle or square is = length x width

Area = 3 x 10

Area = 30 yds

Step-by-step explanation:

Answer:

15 yards

Step-by-step explanation:

If there is a triangle of base and height B and H we can find the area by using the formula:

0.5×B×H

0.5×10×3 = 15

The x component of the vector is 16.24m

The components of a vector in two dimension coordinate system are the parts of vectors generated along the axes(x and y) and are considered to be x-component and y-component. It can be represented as, (Vx, Vy), where V is the vector.

The x component of a vector V is Vcos¢

where¢ is the angle of vector

the positive equivalent angle of - 96.3 is 83.7°

x component= 148cos 83.7

Vx= 16.24m

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In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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