Answer:
168015
Step-by-step explanation:
b(c) = 2c³5c² - 6c - 13
b(7)=2(7)³5(7)²-6(7)-13
b(7)=2(343)5(7)²-6(7)-13
b(7)=(686) 5(49)-6(7)-13
b(7)=(686) (245)-6(7)-13
b(7)=(686) (245) -42-13
b(7)=168070-42-13
b(7)=168028-13
b(7)=168015
(Usually this is how you would solve it but because there was no sign between the 2c^35c^2 I got sort of confused so I just multiplied, if wrong I'm sorry..)
\(b(-7)=-168041\).
Step-by-step explanation:1. Write the function.\(b(c)=2c^{3} 5c^{2} -6c-13\)
2. Substitute "c" by "-7" in the function.\(b(-7)=2(-7)^{3} 5(-7)^{2} -6(-7)-13\)
3. Calculate.\(b(-7)=2(-343) 5(49) -(-42)-13\\ \\b(-7)=-168070 +42-13\\ \\b(-7)=-168041\)
Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
Set of whole numbers from 1 to 10 inclusive greater than seven and odd
Answer:
{7, 9}
(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)
Step-by-step explanation:
We have to find the set of whole number greater than and equal to 7 from 1 to 10,
Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,
And of these, 7 and 9 are equal to or greater than 7
So, we get the set,
{7, 9}
a sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. a regression analysis shows the following results:
The regression equation is Y = −12.201 + 2.195x.
In the given question,
A regression analysis shows the following results.
Coefficients Standard Error t-Stat p-value
Intercept −12.201 6.560 −1.860 0.100
Number of contacts 2.195 0.176 12.505 0.000
We have to find the regression equation.
Given that,
Coefficient of Intercept(a) = −12.201
Coefficient of Number of contacts(b) = 2.195
The regression equation is,
Y = a + bx
Y = −12.201 + 2.195x
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The right question is:
A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results.
Coefficients Standard Error t-Stat p-value
Intercept −12.201 6.560 −1.860 0.100
Number of contacts 2.195 0.176 12.505 0.000
What is the regression equation?
(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
Answer:
(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
2mx^2+x^2-2mx+5x+2m+1=0
3mx^2+5x+1=0
That's as far as you can get simplifying it.
Step-by-step explanation:
–10x + 4y + 14 = 0 in slope intercept form
Slope intercept form is written as follows:
\(y=mx+b\)
With this information, isolate y on the left side of the provided equation:
\(4y=10x-14\)
Now, divide both sides of the equation by 4:
\(y=\frac{10}{4} x-\frac{7}{2}\)
This equation cannot be simplified anymore, and is therefore the answer!
\(y=\frac{10}{4} x-\frac{7}{2}\)
Answer:
y = (5/2)x - (7/2)
Step-by-step explanation:
–10x + 4y + 14 = 0
-14 -14
-----------------------------
-10x + 4y = -14
+10x + 10x
--------------------------------
4y = 10x - 14
÷4 ÷4 ÷4
----------------------
y = (10/4)x - (14/4)
simplified
y = (5/2)x - (7/2)
I hope this helps!
pls answer the top one need a naswer fast
The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft
what is a polynomial?Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.
Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28
Perimeter = (3x^2 +3x -148)ft
when x = 10
Perimeter = 3(10)^2 +3(10) -148 = 182ft
In conclusion the expression (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft
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Fiona’s family is replacing the carpet in the living room the living room is in the shape of a square the length of one wall is 16 feet how many square feet of carpet does Fiona‘s family need to buy to replace their old carpet
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.
Yanni read 24 pages of
a book. 1 of the book is
still left to read. How many
pages are there in the
whole book?
Which of the equations below has no solution? Due soon need help
Here's why:
The 4 and 8 on the left side combine to 12. The 5x and -3x on the right hand side combine to 2x.
This means the equation for choice D becomes 2x+12 = 2x-12
From here, subtract 2x from both sides. Doing so will cancel each copy of 2x and the x terms go away entirely. We're left with 12 = -12 which is a false statement since we don't have the same number on both sides. We have a contradiction instead, so there are no solutions here.
No matter what we replace x with in equation D, it will always be false.
If you graphed y = 2x+12 and y = 2x-12, you would find that the lines are parallel. Parallel lines never intersect. Intersection points are solution points, so this is a visual way to see that we don't have any solutions.
8,224 people rode a roller coaster at the fair on Saturday. 16 people rode the roller coaster at once. How many trips did the roller coaster make that day?
Which is the best estimate of the difference between 67/8 and 1/82
Answer:
8.36
Step-by-step explanation:
67 - 1
8. 82
= 2747 - 4
328
=2743
328
= 8.36
What is the value of (52 - 10) = 5 x 23?
А
0
B
18
C
24
D 40
Answer:
I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer.x plays y at table tennis and from past experience wins 3 sets in every 5 played. if they play 6 sets, write down the probability generator and hence determine the probability that a. y wins 3 of them b. Y wins at least 5 of them.
The probability x win a set is 3 in 5, 0.6.
The probability that x wins m sets from a total of N is given by the formula:
\(P(MX|N)=\frac{N!}{M!(N-M)!}\cdot0.6^M0.4^{N-M}\)a) If they play 6 sets, the probability that y wins 3 of then is given by:
\(P(3X|6)=\frac{6!}{3!3!}\cdot0.6^3\cdot0.4^3=0.276\)b) The probability that y wins at least 5 of then is given by:
\(P(1X|6)+P(0X|6)=6\cdot0.4^5\cdot0.6+0.4^6=0.041\)Using your calculator, find the range and standard deviation, round to two decimals places: The table below gives the number of hours spent watching TV last week by a sample of 24 children. 84 58 81 37 60 44 23 48 46 88 28 23 60 27 30 21 86 67 21 22 69
The range of the data is 67, and the standard deviation is 28.19 (rounded to two decimal places).
How to find the standard deviation and range?To find the range and standard deviation of a set of numbers, we need to perform the following steps:
Find the mean of the data:
To find the mean, we add up all the numbers and divide by the total number of observations.
mean = (84 + 58 + 81 + 37 + 60 + 44 + 23 + 48 + 46 + 88 + 28 + 23 + 60 + 27 + 30 + 21 + 86 + 67 + 21 + 22 + 69) / 24 = 54.125
Subtract the mean from each data point:
84 - 54.125 = 29.875
58 - 54.125 = 3.875
81 - 54.125 = 26.875
...
69 - 54.125 = 14.875
Square the differences:
29.875^2 = 893.90625
3.875^2 = 15.234375
26.875^2 = 720.5625
...
14.875^2 = 221.5625
Sum the squared differences:
893.90625 + 15.234375 + 720.5625 + ... + 221.5625 = 6766.40625
Divide the sum by the number of observations minus 1:
6766.40625 / (24 - 1) = 796.218421
Take the square root to find the standard deviation:
sqrt(796.22) = 28.19
The range is the difference between the largest and smallest data points:
range = 88 - 21 = 67
So, the range of the data is 67, and the standard deviation is 28.19 (rounded to two decimal places).
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Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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compare the mean,median, and mode in terms of their sensitivity to extreme scores
The mean is the most sensitive to extreme scores, followed by the median, while the mode is the least affected. The mean is greatly influenced by outliers, the median is moderately influenced, and the mode is generally unaffected by extreme scores.
The mean, median, and mode are measures of central tendency used to describe the average or typical value in a dataset. They differ in their sensitivity to extreme scores, also known as outliers or extreme values.
Mean:
The mean is calculated by summing all the values in a dataset and dividing by the total number of values. It is highly sensitive to extreme scores because it takes into account the magnitude of each value. Even a single extreme score can significantly affect the mean. This sensitivity arises from the fact that the mean incorporates all values in the dataset. Therefore, outliers can distort the mean and pull it towards their direction
Median:
The median represents the middle value when the dataset is arranged in ascending or descending order. It is less sensitive to extreme scores compared to the mean. The median only considers the position of the values, not their actual values. Therefore, extreme scores have less impact on the median since it focuses on the relative position of values rather than their magnitude. As a result, outliers have minimal influence on the median.
Mode:
The mode represents the value(s) that appear most frequently in the dataset. Like the median, the mode is not significantly affected by extreme scores. Outliers can occur in a dataset without affecting the mode because the mode is determined by the most frequently occurring value(s), regardless of their magnitude. In datasets with multiple modes or no mode, extreme scores may not significantly impact the mode.
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Help please! Bethany makes 50 hotdogs to divide equally between 6 people. How many hotdogs does each person get?
A: 6 1/6
B: 6 2/8
C: 8 1/6
D 8 2/6
if anybody could answer this; please do!
Answer:
2
Step-by-step explanation:
cause
Answer:1,036
Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho
hi! i’m struggling with this and don’t know where to start! need work shown and a step by step explanation for 1 and 2 would be helpful!! thanks x
The probabilities are given as follows:
1) Blue eyes: 0.132.
2) Female with green eyes: 0.09.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The total number of people is given as follows:
20 + 25 + 30 + 15 + 10 + 12 + 15 + 20 + 10 + 10 = 167.
10 + 12 = 22 people out of 167 have blue eyes, hence the probability is given as follows:
p = 22/167 = 0.132.
15 people out of 167 are female with green eyes, hence the probability is given as follows:
p = 15/167 = 0.09.
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7th grade math help me pleasee
Answer:
7th grade math help me pleasee
- + - + respectively 1234
Answer:
1. -5
2. 12
3. -10
4. 31
Step-by-step explanation:
Need help will give brainliest
The equation formed after the transformations is given as follows:
\(g(x) = \frac{1}{6}\sqrt{x + 3}\)
How to obtain the function?The parent function in this problem is defined as follows:
\(f(x) = \sqrt{x}\)
For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:
\(g(x) = \frac{1}{6}\sqrt{x}\)
For the translation left 3 units, we have that x -> x + 3, hence:
\(g(x) = \frac{1}{6}\sqrt{x + 3}\)
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For the summer reading club, Xavier is required to read 2 books every week.
What line represents this requirement?
Line a
Line b
Line c
Line d
Answer:
line c
Step-by-step explanation:
a simple graph of one week equals two books or a slope of 2
if x=-3 is the only x-incercept of the graph of a quadratic equation which statement best describes the discrinant of the equation
Answer:
The discriminant must be zero.
Step-by-step explanation:
Quadratic Equation
The standard representation of a quadratic function is:
\(f(x)=ax^2+bx+c\)
where a,b, and c are constants.
The zeros, roots, or x-intercepts can be found by solving the equation:
\(ax^2+bx+c=0\)
We can use the quadratic formula to find the roots:
\(\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)
Note this formula gives us two different roots if the square root is non-zero.
The only way there can be only one x-intercept is because the square root is zero.
If the square root is zero, then
\(b^2-4ac =0\)
The expression is called the discriminant.
Thus, if x=-3 is the only x-intercept of the graph of a quadratic function, then the discriminant must be zero.
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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please help asap geomtry
Answer:
x= 10.25
Step-by-step explanation:
#According to the source,
=> x^2+(3√5)^2 = (x+2)^2
=> x^2+9×5 = x^2+2×x×2+2^2
=> x^2+45 = x^2+4x+4
=> x^2+45-x^2-4x-4 = 0
=> - 4x+41 = 0
=> -4x = - 41
=> x = 41/4
=> x = 10.25
...........I'm sure...........100%
1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
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On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
The Total mileage is "400" and the further solution can be defined as follows:
Let t become the time he spent commuting on the first day of his vacation.
It is then calculated as \(t + 2\).
\(\to 40\times(t+2) = 60(t) + 20 \\\\\to 40t+80 = 60t + 20 \\\\\to 80-20 = 60t + 40t \\\\\to 60 = 20t \\\\\to t=\frac{60}{20} \\\\\to t=\frac{6}{2} \\\\\to t= 3\\\\\)
It traveled \(40\times (3 + 2) + 20 = 40\times 5 + 20 = 200+20=220\) miles on its first day of operation.
The car traveled \(180\ miles\) on the second day, which was \(60 \ miles \times 3\).
So,
Total mileage= first day traveled + second day traveled \(= 220+ 180= 400 \miles\)
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=
If f(x) = x2 – 1, and
g(x) = x + 2, then
=
g(f(x)) = [ ? ]x2 + ( )
=
Answer:
It could possibly be 2
Step-by-step explanation:
Remember varibles can stand for any number so if you have a key for your varibles than you might get you answer after using a caculator to add an sub tract and mulitiply the numburs
The packages a and b together weigh 6kg
Package a is twice as heavy as package b
Find the weight of package a and find the weight of package b
3) Your piggy bank has only nickels and dimes. There 21 coins totaling
$1.35. How many of the coins in your piggy bank are dimes? How many
are nickels?
There are 15 nickels in the piggy bank.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's use a system of equations to solve this problem:
Let's call the number of nickels "n" and the number of dimes "d".
We know that there are a total of 21 coins, so,
n + d = 21
We also know that the total value of the coins is $1.35.
Since a nickel is worth 5 cents and a dime is worth 10 cents,
We can write:
5n + 10d = 135
(since there are 100 cents in a dollar)
We can solve for one variable in terms of the other in the first equation, and substitute that expression into the second equation:
n + d = 21
n = 21 - d (subtract d from both sides)
5n + 10d = 135
5(21 - d) + 10d = 135 (substitute 21 - d for n)
105 - 5d + 10d = 135 (distribute 5)
5d = 30 (subtract 105 from both sides)
d = 6 (divide both sides by 5)
So there are 6 dimes in the piggy bank.
To find the number of nickels, we can substitute d = 6.
n + d = 21
n + 6 = 21
n = 15
Thus,
There are 15 nickels in the piggy bank.
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