Find the equation of the circle with center at (3,-2) and radius of 3.
(x - 3)2 + (y + 2)2 = 9
(x - 3)2 + ( + 2)2 = 3
b. (X + 3)2 + (-2)2 = 9
d. (x+ 3)+ (x - 2)2 = 3

Answer:

x = 58

Step-by-step explanation:

We know that,

1 mL = 0.001 L

So, 350 mL = 0.35 L

Let x cans of coke can be filled from a 20.3 L tank of coke. So,

Accoding to question,

[tex]0.35\times x =20.3\\\\x=\dfrac{20.3}{0.35}\\\\x=58[/tex]

So, there are 58 350 mL cans of coke that can be filled from a 20.3 L tank of coke.

Answer:

Zero and thirty four thousandths

Step-by-step explanation:

Answer:

48 months

Step-by-step explanation:

Brandon estimates that he will need $18,000 each year to attend a 4-year college.

His family can pay $5,000 a year and he can get a student loan for $10,000 each year.

This means that, each year, $15000 out of the $18000 has been covered. That is the sum of the money from his parents and the loan:

$5000 + $1000 = $15000

That means the amount he still needs to cover per year is:

$18000 - $15000 = $3000

In 4 years, he will need to cover:

4 * $3000 = $12000

He saves $250 a month. Therefore, the number of months he will need to save $12000 is:

[tex]\frac{12000}{250} = 48 months[/tex]

He will need to save for 48 months to save the rest of the money he will need for College.

Answer: It will take him 48 months.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

the amount his family can pay per year (5000) multiplied by 4 (since is a 4 year college) ; plus the amount of the loan he gets per year (1000) also multiplied by 4 ; plus the amount he saves per month (250) multiplied by the number of months (m) must be equal to the amount he will need per year for college (18000) multiplied by 4.

Mathematically speaking

18000 x 4 = (5000 x 4) + (10000x 4) + 250 m

Solving for m

72000= 20,000+ 40,000+ 250m

72,000-20,000-40,000 = 250m

12,000= 250m

12,000/250 = m

48 =m

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Consecutive whole numbers (or integers) are numbers that directly follow one another.

Eg: 1, 2, 3, 4, 5 are consecutive whole numbers.

Step-by-step explanation:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108.

or

let the three consecutive whole numbers is x, x+1,and x+2

x + x+1 + x+2 = 4+2(x+1)

3x+3=4+2x+2

3x-2x=6-3

x=3

the other two numbers are 3+1=4,and 3+2=5

so the three numbers are 3,4 and 5

Answer:

The answer for (a)(-5.96, 2.36) (b) -1.8, since the difference is negative, it can be said or determined that the age of the grandfather is older

Step-by-step explanation:

Solution

(a) From the information given,

n = 10, d =-1.8, sd = 5.81

The 95% confidence interval  for the population  mean difference age is computed as follows:

CI =d ±tα/2,n-1 (sd/√n)

= -1.8±t₀.₀₅/₂,₁₀₋₁ (5.81/√10)

=-1.8± 2.26 (1.84)

= -1.8 ± 4.16

= (-5.96, 2.36)

Now,

There is a 95% confidence  that the mean difference in age of maternal grand parents of high school students lies between - 5.96 and 2.36

(b) The age difference is calculated  as the age of grand mother minus age of grand father. the point of estimate for the mean difference is as follows:

Xd = XGM - XGF

= 69.8 -71.6

=-1.8

Therefore, since the difference is negative, it can be said or determined that the age of the grandfather is older

Note: kindly find an attached copy of the complete question and table to this example below.

The mean difference in age between grandparents is calculated by taking the absolute differences between the ages of each pair of grandparents from the sample of students and then averaging those differences.

The sociologist's research question about the mean difference in age of grandparents without regard to which one is older requires calculating the absolute difference between the ages of each pair of maternal grandparents for the sample of high school students and then taking the average of those differences. To provide a point estimate for the mean difference in age to address the sociologist's question, let us assume we have the ages of each pair of grandparents for the 10 students. If we denote these age pairs as (G11, G21), (G12, G22), ..., (G110, G210), where G1 and G2 are the ages of the two grandparents for each student, the mean difference in age would be the sum of the absolute differences of these pairs divided by the number of pairs (10 in this case).

Mean Difference = (|G11 - G21| + |G12 - G22| + ... + |G110 - G210|) / 10

Without the actual data, we cannot provide a numerical point estimate, but this is the method that would be used to calculate it.

Answer:[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Given

[tex]\cos \theta =\frac{-3}{5}[/tex]

and [tex]\theta [/tex]  lies between

[tex]90^{\circ}<\theta <180^{\circ}[/tex]

and for this [tex]\theta[/tex],[tex]\sin[/tex] and [tex]\text{cosec}[/tex] is Positive as they lie in 2 nd Quadrant

[tex]\sin ^2\theta +\cos ^2\theta =1[/tex]

[tex]\sin ^2\theta =1-(\frac{-3}{5})^2[/tex]

[tex]\sin ^2\theta =1-\frac{9}{25}[/tex]

[tex]\sin ^2\theta =\frac{16}{25}[/tex]

[tex]\sin \theta =\frac{4}{5}[/tex]

[tex]\therefore \text{cosec}\ \theta =\frac{5}{4}[/tex]

Answer:

B

Step-by-step explanation:

Our system of equations is:

3x + y = 23

8x + 2y = 23

If we want to use substitution, that means that we essentially want to manipulate one of the two equations so that one variable (like y) is written in terms of the other (like x), and then substitute that expression into the second equation so that we have one variable and one equation and we can easily solve from there.

So the first thing to be done is to write one of the variables in terms of the other. It would be easiest to do it with the first equation and write y in terms of x - in other words, "solve the first equation for y".

The answer is B.

Answer:

B

Step-by-step explanation:

Solve the first equation for y.

Answer:

y·cos73°= x

Step-by-step explanation:

To find this, we can begin by looking at the steps to solve this problem. We know that this involved the 'opposite' and 'adjacent' sides, meaning we must use 'cos' in this instance.

We can set up an equation like this:

cos73°= [tex]\frac{x}{y}[/tex].

We can simply rearrange this to form a possible answer choice:

y·cos73°= x.

This is one of the answer choices! That is your final answer.

Answer:

the answer is y·cos73°= x

Step-by-step explanation:

because i looked it up

Answer:3/2

3x3-2x2-7x+6=x+1(Multiply the numbers)

9-4-7x+6=x-1(Calculate)

11-7x=x-1(Move the terms)

-7x-x=-1-11(Collect like terms&calculate)

-8x=-12(Divide both sides by -8)

x=3/2

Synthetic division is a process used to divide a polynomial by a linear expression. Using a step-by-step process, the polynomial 3x^3 - 2x^2 - 7x + 6 is divided by x + 1. The result is a new polynomial, which represents the quotient and a remainder.

Synthetic division is used to divide a polynomial by a linear expression. In this case, we have the polynomial (3x^3 - 2x^2 - 7x + 6) and we want to divide it by (x + 1). Synthetic division follows a specific set of steps:

The numbers at the bottom are the coefficients of the quotient polynomial, and the remainder if any.

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Answer:

x = -11

Step-by-step explanation:

[tex]5(x-6)+2 = 7x-6\\5x -30 +2 = 7x - 6\\5x -28 = 7x -6 \\5x - 28 + 6 = 7x -6 +6 \\5x -22 = 7x\\5x -5x -22 = 7x - 5x\\-22 = 2x\\-22 / 2 = 2x / 2\\-11 = x[/tex]

Answer:

(6,-3)

Step-by-step explanation:

Answer:

(6,3)

Step-by-step explanation:

so the rule of a reflection over y axis is:

(-x,y)

since x=-6

(--6,-3)

(6,-3) is the new point

if its an reflection over the x axis(which is not the case here) then it would be:

(x,-y)

Answer:

Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.

Answer :

Divide the number of robins by the number of cardinals for each pair of values. The ratios are the same and are a constant of proportionality of 3.

KEEP IN MIND THIS IS A SAMPLE RESPONSE!

Answer:

Option C

Step-by-step explanation:

a rotation about point L

Answer:

Step-by-step explanation:

good luck man get a 100% on  

Answer:

C. the number of students who rode on each bus.

Step-by-step explanation:

Answer:

C.the number of students who rode on each bus

Answer:8

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

Answer:

length x width x height

Step-by-step explanation:

Answer:

Hope this helped stay safe!!

Step-by-step explanation:

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.

Answer:

(1) w = 6.4

(2) w = -67

(3) q = 336

(4) z = -14

(5) x = 9

(6) y = 3

(7) x = 8

(8) x = -16

(9) x = 54

(10) x = 13.5

Step-by-step explanation:

Ik u need it quick so mb for not explaining. Good luck

Answer:

the first one is 6.4 i cant help with others srry im not smart either.

Step-by-step explanation:

Answer:

6 mangoes

0.38 or 38p

Step-by-step explanation:

Apparently the value of the mango is £ 0.77, which means that to get the number of mangoes you can buy, you must divide this value to the amount of money you have, that is, £ 5

5 / 0.77 = 6.49

which means that it is enough for 6 mangoes.

To know the change, multiply the value of one by 6 and subtract it with £ 5, it would be the change.

6 * 0.77 = 4.62

5 - 4.62 = 0.38

That is, the change is £ 0.38 or 38p

Answer:

(a) 6 mangoes

(b) £0.38

Step-by-step explanation:

(a) The greengocers sell the mangoes for 77 p.

The greatest number of mangoes you can buy for £5 can be gotten by dividing £5 by the price of each mango (77 p). We will only pick the whole number part because number of mangoes can only be whole number.

First, we convert £5 to pence:

£1 = 100 pence

=> £5 = 5 * 100 = 500 pence

Hence, the greatest number of mangoes that can be bought is:

500 / 77 = 6.49

Since we are only picking the whole number part, the answer is 6 mangoes.

(b) The price of 6 mangoes is:

6 * 77 = 462 pence

Hence, if you take £5 (500 pence) to the store, your change should be:

500 - 462 = 38 pence

38 pence is the same as £0.38

Answer:

There are approximately 88 adults.

Step-by-step explanation:

The question is:

A fair was attended by 350 people of which two thirds are adolescents and a quarter adults and a fifth are children from 10 to 12 what amount corresponds to adults .

Solution:

Total number of people attending the fair is, N = 350.

The proportion of adults is: P (Adults) = p = 0.25.

Compute the number of adults in the fair as follows:

[tex]\text{Number of adults in the fair}=N\times p[/tex]

                                             [tex]=350\times 0.25\\\\=87.5\\\\\approx 88[/tex]

Thus, there are approximately 88 adults.

Answer:

9,900 millimeters squared

Step-by-step explanation:

The area of the composite figure having bases 210mm, 150mm and height 55mm is ; 19800 millimeters squared.

A trapezoid is a quadrilateral with one pair of parallel sides.

Analysis:

Area of a trapezoid = 1/2(a + b )h

where a = small base, b = big base and h = height

From given data: a = 150mm, b = 210mm, h = 55mm

Area of trapezoid = 1/2(150+210) x 55 = 9900[tex]mm^{2}[/tex]

For the two trapezoids = 2 x 9900 = 19800[tex]mm^{2}[/tex]

In conclusion, the area of the two trapezoids is 19800[tex]mm^{2}[/tex]

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Answer:

Calculating the numbers inside parentheses is first according to the order of operations.

Step-by-step explanation:

Order of operations

Answer:

The percentage of people that scored less than Calvin is 38.21 %

Step-by-step explanation:

In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.

To calculate this, we first need to calculate the standard score or the z-score of Calvin result.

Mathematically;

z = (x - mean)/SD

from the question, x = 78, mean = 81 and SD = 10

Substituting this, we have

z = (78 -81)/10 = -3/10 = -0.3

So we proceed to calculate the probability.

P(x < 78) or P(z < -0.3)

We make use of the standard table to get this probability

P(z< - 0.3) = 0.38209

In percentage, this is same as 38.209% or more simply 38.21%

Answer: D. Dividing

Step-by-step explanation:

When we divide a number ( whether fraction or not ) by a fraction, then we first change the operator to multiplication and  reciprocate the second fraction.

Let's take an example:

Suppose we have h division problem in fraction as [tex]\dfrac{2}{3}\div\dfrac{4}{9}[/tex]

Then, our first step would be to change division operator (÷) by multiplication operator (×) and then ×reciprocate the second fraction , so the next step will become [tex]\dfrac{2}{3}\times\dfrac{9}{4}[/tex] , Now cancel out 3 and 2 from both numerator and denominator , we get

[tex]\dfrac{1}{1}\times\dfrac{3}{2}=\dfrac{3}{2}[/tex]

i.e. [tex]\dfrac{2}{3}\div\dfrac{4}{9}=\dfrac{3}{2}[/tex]

Hence, the correct option is "D. Dividing".

The first step which involves changing the operator to multiplication of the reciprocal of the second fraction is when dividing.

If given

5/2 ÷ 1/2

The first step is to multiply with the reciprocal of the second fraction

= 5/2 × 2/1

= (5 × 2) / (2 × 1)

= 10/2

= 5

Therefore, when dividing fraction, we multiply with the reciprocal of the second fraction.

Learn more about division of fraction:

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Answer:

64

Step-by-step explanation:

1 Decimeter is equal to 10 centimeters. To convert decimeters to centimeters, multiply the decimeter value by 10. In this case it is 64.

Hope I helped:)

Answer:

Cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

Step-by-step explanation:

Let the cost of water bottle = $a

Cost of 1 gallon milk = $b

and cost of 1 bag of chips = $c

So, cost of 4 gallons of milk, 6 bottles of water and 5 bags of chips = $(4b + 6a + 5c)

4b + 6a + 5c = 27.2 -----(1)

Cost of one water bottle = 2 × cost of one bag of chips

a = 2c -----(2)

A gallon of milk = cost of water bottle + $1.80

b = a + 1.8

From equation (2)

b = 2c + 1.8 -----(3)

Now we substitute these values from equations (2) and (3) in equation (1)

4(2c + 1.8) + 6(2c) + 5c = 27.2

8c + 7.2 + 12c + 5c = 27.2

25c = 27.2 - 7.2

c = [tex]\frac{20}{25}[/tex]

c = $0.8

From equation (2)

a = 2×0.8

a = $1.6

From equation (3)

b = 2(0.8) + 1.8

b = 1.6 + 1.8

b = $3.4

Therefore, cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

Final answer:

A snack size bag of chips costs $0.80, a bottle of water costs $1.60, and a gallon of milk costs $3.40. This was determined by creating an equation with the given cost relationships and solving for the cost of each item.

Explanation:

The question presents a scenario where a trip to the convenience store involves purchasing 4 gallons of milk, 6 bottles of water, and 5 snack size bags of chips with a total bill of $27.20 before tax. The cost relationships given are: a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $1.80 more than a bottle of water.

Let's denote the cost of a snack size bag of chips as c. Thus, the cost of a bottle of water would be 2c. A gallon of milk would then cost 2c + $1.80.

To find the cost of each item, we can set up an equation based on the total cost:

5c + 6(2c) + 4(2c + $1.80) = $27.20

Solving this equation:

5c + 12c + 8c + $7.20 = $27.20

25c + $7.20 = $27.20

25c = $20

c = $0.80

Therefore, a snack size bag of chips costs $0.80, a bottle of water costs $1.60, and a gallon of milk costs $3.40.

Answer:

Step-by-step explanation:

The shape of the curve is a rose curve.

The domain are real numbers

And the range is approximately from -3.9 to 3.9

The maximum value of r on the graph is 3.9

Yes the graph is continuous and it is bounded above and below

The graph is symmetrical about the x axis and not about the y axis.

No asymptotes

Step-by-step explanation:

Step 1:  Find the probability of landing on tails

92 - 41 = tails

51 = tails

[tex]\frac{51}{92}[/tex] = probability

0.554... * 100 = probability

55% = probability

Answer:  The probability of landing on a tails is 55%

Answer:

55%

Step-by-step explanation:

P(heads) = 41/92

P(tails) = 1 - P(heads)

1 - 41/92

51/92 × 100

55.43478261%

It is an expression, as an equation has an equal sign on it.

This has no equality property, therefore it is an expression.

Answer:

x = 15

Step-by-step explanation:

Let the x represents altitude.

Therefore, by geometric mean property:

[tex]x = \sqrt{9 \times 25} \\ x= 3 \times 5 \\ x = 15[/tex]