What is the result of adding -3x²-5x +1 and 8x²-2x-9?

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The sequence is defined as

an = 3an - 1 + 7

This means that

a2 = 3(a(2 - 1) + 7

a2 = 3a1 + 7

From the information given ,

a1 = - 4

Thus,

a2 = 3 * - 4 + 7 = - 12 + 7

a2 = - 5

a3 = 3(a(3 - 1) + 7

a3 = 3a2 + 7

a3 = 3 * - 5 + 7 = - 15 + 7

a3 = - 8

a4 = 3(a(4 - 1) + 7

a4 = 3a3 + 7

a4 = 3 * - 8 + 7 = - 24 + 7

a4 = - 17

Thus, the first four terms of the sequence are

- 4, - 5, -

If the rate is tripled and the time increases by 3 hours, the value of d will increase by a factor of 12.

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

The original distance, d(r,t), can be expressed as d(r,t) = rt.

Value of d if the rate is tripled and the time increases by 3 hours

The new distance, d(3r,t + 3), can be expressed as d(3r,t + 3) = 3r(t + 3).

The new distance d(3r,t + 3) = 3r(t + 3)

= 3rt + 3(3r)

= 3rt +9r

= 3d(r,t) + 9r

Therefore, if the rate is tripled and the time increases by 3 hours, the value of d will increase by a factor of 3 + 9 = 12.

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Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units

The area of a rectangle is:

Area = Length * Width

The area of a square is:

Area = Length * Length

From the question, the given parameters are:

AB =AH = x ;

BC=5;

HG=3

This means that the area of square HJFG is:

Area = HG * HG

Area = 3 * 3

Area = 9

Note that the other areas cannot be calculated because the question is incomplete

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The height of the cliff is 7.57m and the time to reach the ground when thrown straight down is 0.814s

Motion under gravity refers to the movement of an object whose vertical motion is affected by the presence of gravity. The force that attracts objects downwards is GRAVITY. In fact, gravity works towards the centre of the Earth.

When an object is moving upward,it is moving against gravity and when it is moving down it is moving with gravity.

from equation of motion

H= ut-1/2gt^2( the object is moving upward)

where h is the height of the cliff and u is the initial velocity and g is acceleration due to gravity

(g=10ms^-2).

therefore h= 8.14×2.41-(1/2×10×2.41)

= 19.62-12.05

h= 7.57m

when the object is thrown Down,

V = u + gt

u will be 0 at top before coming down

V = gt

t= 8.14/10

= 0.814s

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Answer:

25

Step-by-step explanation:

1575/63=25

Answer:

Step-by-step explanation:

1575/63 = 25

63 x 25 = 1575

The Stafford loan will have a higher balance of $36.53 at the time of repayment.

The correct option is C.

The formula:

PV = PMT/i[1 - {1/(1+i)ⁿ]

PV denotes the loan sum.

PMT stands for "monthly payment," I for "interest rate" (interest rate % divided by 12), and "n" for the number of months (term of the loan in months)

To compare the balances of the two loans at the time of repayment, we need to calculate the total amount owed for each loan.

For the Unsubsidized Stafford Loan:

The total loan amount is $6,720, and the annual interest rate is 3.99%, compounded monthly.

Therefore, the monthly interest rate is 3.99% / 12 = 0.3325%. The loan has a grace period of 6 months, so interest will not start accruing until 6 months after graduation.

The loan will be repaid over a period of 10 years, or 120 months.

Using the formula for the future value of an annuity, the total amount owed for the Unsubsidized Stafford Loan is:

FV = PMT x [(1 + r)ⁿ - 1] / r

where PMT is the monthly payment, r is the monthly interest rate, and n is the number of months.

We can solve PMT using a loan repayment calculator, such as the one found on bankrate.com, and we get a monthly payment of $73.80. Plugging this into the formula, we get:

FV = $73.80 x [(1 + 0.003325)¹¹⁴ - 1] / 0.003325

FV = $9,222.41

Therefore, the total amount owed for the Unsubsidized Stafford Loan at the time of repayment is $9,222.41.

For the PLUS Loan:

The loan amount is $7,241.17, and the annual interest rate is 4.99%, compounded monthly. Therefore, the monthly interest rate is 4.99% / 12 = 0.4158%. Interest starts accruing immediately, and the loan will be repaid over a period of 10 years, or 120 months.

Using the same formula, the total amount owed for the PLUS Loan is:

FV = PMT x [(1 + r)ⁿ- 1] / r

Again, using a loan repayment calculator, we get a monthly payment of $78.93. Plugging this into the formula, we get:

FV = $78.93 x [(1 + 0.004158)^120 - 1] / 0.004158

FV = $9,258.94

Therefore, the total amount owed for the PLUS Loan at the time of repayment is $9,258.94.

Comparing the two loan amounts, we see that the Unsubsidized Stafford Loan will have a higher balance of $36.53 ($9,222.41 - $9,258.94) at the time of repayment.

Therefore, the answer is:

The Stafford loan will have a higher balance of $36.53 at the time of repayment.

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Answer:

i think the answer is B

i am sorry if this is wrong

Step-by-step explanation:

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

$59.94

Step-by-step explanation:

So for this question, you need to find 8% of 748.

You can do this by multiplying .08 by 748:

.08(748) = 59.94

Answer:

149.6

Step-by-step explanation:

Answer:

$167,000

Step-by-step explanation:

THAT'S THE ANSWER.COM

The median value of the houses is $167,000.

The middle number in a collection of numbers is known as the median.

The initial value of the 7 houses were,

$175,000, $163,000, $142,000, $135,000, $191,000, $122,000, and $147,000.

As, the value of each house were increased by $20,000.

The value of houses after increment,

$195,000, $183,000, $162,000, $155,000, $211,000, $142,000, and $167,000.

Arrange the values in the increasing order.

$142,000, $155,000, $162,000$, 167,000, $183,000, $195,000, $211,000.

Since, the given data has 7 values which is a odd number. So,  values come in the middle is $167,000.

Therefore, the median value of the houses is $167,000.

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Answer:

none

Step-by-step explanation:

because the zeros usually intercept with the x-axis and the parabola is nowhere near that! hope it helps!

The number of Kid's Launches that are possible is 128. This is solved using Combination Principle.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant.

Hence,

The number of possible "Sizes" from the specified 4 sizes are ⁴C₁

The number of sorts of bun that is possible from the specified two bun types is:  ²C₁

From the four sides, the number of possible side purchases is:  ⁴C₁

Of the available four drinks, the number of the possible drinks is: ⁴C₁

Now the possible number of all lunches are:

⁴C₁ x  ²C₁ x  ⁴C₁ x  ⁴C₁

= 4 x 2 x 4 x 4

= 128

Hence the number of Kid's Lunches that are possible are 128.

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ANSWER:

EXPLANATION:

A simple random sample of size has mean and standard deviation. Construct a confidence interval for the population mean. The parameter is the population The correct method to find the confidence interval is the method.

The sample size is not given. Mean and Standard Deviation are not given.

To construct a confidence interval for the population mean, first find out the margin of error of the sample mean. This is why you need a confidence interval. If you are 90% confident that the population mean lies somewhere around the sample mean then you construct a 90% confidence interval.

This is equivalent to an alpha level of 0.10

If you are 95% sure that the population mean lies somewhere around the sample mean, your alpha level will be 0.05

In summary, get the values for sample size (n), sample mean, and sample standard deviation.

Make use of a degrees of freedom of (n-1).

Answer:

30

Step-by-step explanation:

6(3 + 2) + (8 - 2 × 4)

Always apply the law of BIDMAS when solving an expression

6(3 + 2)

18 + 12

30

(8 - 2 × 4)

= 8

8 - 8 = 0

30 + 0 = 30

The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


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The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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Answer: D

Step-by-step explanation:

Answer:

D. 95 ≤ u ≤ 155

Step-by-step explanation:

The ratio of the length AC to BC is 11:18

The formula for calculating the distance between two points is expressed as:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

For the length AC
\(AC = \sqrt{(-9)^2+(6)^2} \\AC = \sqrt{(-14+5)^2+(12-6)^2} \\AC = \sqrt{81+36} \\AC\approx 11\)

For the length of BC
\(BC = \sqrt{(15)^2+(10)^2} \\BC = \sqrt{225+100} \\BC\approx 18\)

Hence the ratio of the length AC to BC is 11:18

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The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Put value of y in Equation 1 in Equation 2.

\( \looparrowright \sf y + 1 = - 4x\)

\( \\ \\ \)

\( \looparrowright \sf (x + 2) + 1 = - 4x\)

\( \\ \\ \)

\( \looparrowright \sf x + 2 + 1 = - 4x\)

\( \\ \\ \)

\( \looparrowright \sf x +3= - 4x\)

\( \\ \\ \)

\( \looparrowright \sf x + 4x= - 3\)

\( \\ \\ \)

\(\looparrowright \sf 5x= - 3\)

\( \\ \\ \)

\(\looparrowright \sf x= \dfrac{ - 3}{5} \)

\( \\ \\ \)

Let's find value of y :

\( \\ \\ \)

\(\looparrowright \sf y=x+2\)

\( \\ \\ \)

\(\looparrowright \sf y= \dfrac{ - 3}{5} +2\)

\( \\ \\ \)

\(\looparrowright \sf y= \dfrac{ - 3 + 10}{5} \)

\( \\ \\ \)

\(\looparrowright \sf y= \dfrac{7}{5} \)

Solution:

\(\looparrowright \sf \bigg( \dfrac{ - 3}{5} , \dfrac{7}{5} \bigg)\)

Answer:

Step-by-step explanation:

10 x 2=20 white chocolate

10+20=30 chocolates altogether

Circumference of a circle is

where r is the radius, and P the value of circunference or perimeter, then replace P and pi to solve r

radius is 3.25 inches

Area

Apply formula of the area of a circle

repalce pi and r to find the area

The rounded value of the area is 33.2 square inches

Answer:

a) -2 < 3

b) |-12| < |15| (the absolute value of -12 is 12 so that's comparing 12 to 15)

c) 3 > -4

d) |15| > |-12|

e) 7 > -11

Answer:

sector area: 113.3

Step-by-step explanation:

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.