ANSWER:
$5900
SOLUTION
The payable after the 80% cut is
12000 * 0.2 = 2400
plus the annual premium
2400 + 3500 = 5900
1. Find the slope of the line passing through the points (-3,7) and (7,7)
2. Find the slope of the line passing through the points (-4,3) and (-4,-5)
Answer:
1.=0
2.=undefined
Step-by-step explanation:
7-7/7--3
0/10
0
-5-3/-4-(-4)
-8/0
undefined
Hi there!
To find the slope of a line when we have 2 points, we use this formula:
m=\(\frac{y2-y1}{x2-x1}\)
where m is the slope.
\(\frac{7-7}{7-3}\)
Notice that if we subtract the y-coordinates, we get 0. We know that 0 divided by any number is 0.
So the slope of this line is 0.
So if the y-coordinates are the same, then the slope is 0.
Now, let's find the slope of the next line.
\(\frac{-5-3}{-4-(-4)} \\\frac{-8}{-4+4} \\\frac{8}{0}\)
Do you see what I see?
We cannot divide by 0 because division by 0 is undefined. So the slope of this line is undefined.
Remember:
If the y-coordinates are the same, then the slope is 0.If the x-coordinates are the same, then the slope is undefined.Hope this helps you!
~Just an emotional teen who listens to her favorite song "Try Everything"
\(SilentNature\)
por qué el binomio y2 - 8 no es una diferencia de cuadrados.
La ecuación cuadrática y² - 8 es una diferencia de cuadrados, cuya forma es (y + 2√2) · (y - 2√2).
¿Es un binomio dado una diferencia de cuadrados?
Tenemos una ecuación cuadrática de la forma y² - a², donde a es un número real. Según el álgebra de los números reales, esta expresión si corresponde a una diferencia de cuadrados, definida a continuación:
y² - a² = (y + a) · (y - a)
Si tenemos a² = 8, entonces a = √8 = 2√2 y se tiene la siguiente expresión:
y² - 8 = (y + 2√2) · (y - 2√2)
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When Grant was 8, his brother was half his age. Now, Grant is 14. How old is his brother?
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation: Because grant had his age added by 6, therefore add 6 to 4 for 10.
Evaluate the limit
And show your work pleaseee
Answer:0
Step-by-step explanation: -
-7 x -7 = 49
11 x 77 = 77
-7 + 7 = 0
49 + 77 + 28 = 154
154 ÷ 0 = 0
Can you help A B C Or D image is here
Answer:
C. t=9+n
Step-by-step explanation:
please help me on this im confused please ty
The domain of the graph of the exponential function is (d) all real numbers
Calculating the domain of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
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Calculus problem for homework please help.
The solution to the operation in this problem is given as follows:
9.
How to solve the operation for this problem?First we solve the integrals inside the floor operation.
At the numerator, the integral is given as follows:
\(\int_0^1 (\sum_{n = 3}^{n = 5} 5n \sqrt{25}) dx\)
Applying the square root of 25 = 5, we have that:
\(\int_0^1 (\sum_{n = 3}^{n = 5} 25n) dx\)
The sum can be applied as follows:
\(\sum_{n = 3}^{n = 5} 25n = 25(3) + 25(4) + 25(5) = 300\)
Thus the integral is given as follows:
\(\int_0^1 300 dx\)
N = 300x, from x = 0 to x = 1.
Applying the Fundamental Theorem of Calculus, the numerator for the floor operation is given as follows:
N = 300(1) - 300(0) = 300.
The sum in the denominator is given as follows:
\(\sum_{n = 2}^{n = 5} 2 + 6 = \sum_{n = 2}^{n = 5} 8 = 4 \times 8 = 32\)
Thus the integral is given as follows:
\(\int_0^1 32 dx\)
D = 32x, from x = 0 to x = 1.
Meaning that the denominator has a value of 32.
Then the whole operation can be resumed as follows:
floor(300/32).
The quotient of 300 and 32 is given as follows:
300/32 = 9.375.
Then the floor operation gives the highest integer that is less than the decimal number, as follows:
floor(9.375) = 9.
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Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
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A randomized telephone survey of adults in the United States determines that a certain number out of 504 respondents have one or more pets. They use p^ to construct a 95% confidence interval to estimate the proportion p of American adults who have pets to be (0.56137,0.60529).
How many respondents said they have one or more pets?
283
294
305
290
Answer:
\( \hat p=\frac{0.56137+0.60529}{2}= 0.58333\)
The critical value for 95% of confidence is \(z_{\alpha/2}=1.96\)
And since we know the total and the proportion is defined as:
\( \hat p=\frac{X}{n}\)
If we solve for X (number of people who say yes) we got:
\( X= 0.58333* 504= 293.998 \approx 294\)
And the best answer would be:
294
Step-by-step explanation:
We know that the confidence interval for the proportion is given by:
\( \hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)
The margin of error for the proportion interval is given by this formula:
\( ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\) (a)
The margin of error can be calculated with this formula:
\( ME=\frac{0.60529- 0.56137}{2}= 0.02196\)
And the estimation for the true proportion is:
\( \hat p=\frac{0.56137+0.60529}{2}= 0.58333\)
The critical value for 95% of confidence is \(z_{\alpha/2}=1.96\)
And since we know the total and the proportion is defined as:
\( \hat p=\frac{X}{n}\)
If we solve for X (number of people who say yes) we got:
\( X= 0.58333* 504= 293.998 \approx 294\)
And the best answer would be:
294
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
Determine whether each quadrilateral is a parallelogram. Justify your answers.
And
Explain why the quadrilateral with the given vertices is a parallelogram. Use the indicated theorem.
The given quadrilaterals, 1 and 2, are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.
3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.
4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.
What is the proof for the parallelograms?3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:
Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:
AB = √((7 - 0)² + (1 - 0)²) = √50
BC = √((5 - 7)² + (6 - 1)²) = √29
CD = √((-2 - 5)² + (5 - 6)²) =√50
DA = √((0 - (-2))² + (0 - 5)²) = √29
We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.
Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:
Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.
Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:
Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5
Slope of RS = (4 - 3) / (4 - (-1)) = 1/5
Slope of QR = (4 - 1) / (4 - 3) = 3
Slope of SP = (3 - 0) / (-1 - (-2)) = 3
The lengths of opposite sides can be calculated using the distance formula:
PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26
RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3
QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10
SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10
We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.
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Use these tables to answer questions 1 – 3. The tables give the prices of kayak rentals from two different companies.
Which type of relationship does Raging River Kayaks have?
Answer:
For the raging river you multiply
X * 9 = Y
And for paddlers the equation is
X + 40 = Y
What is the slope of the line that passes through the points (0,-8) and (12, 6)?
round to the one decimal place
Random groups of 30 teachers were asked the starting annual salary for theirfirst teaching job. The sampling variability was low. If the average salary of several of the groups was close to $59,000, which of these is least likely to be the average salary of another one of the groups?
Answer:
C. $69,000
Step-by-step explanation:
just did it on the test
What is the first step you would take to solve the equation 1 1/2x 2 1/3
The first step would take to solve the equation 1 1/2x 2 1/3 is to convert the mixed fraction to improper fraction
What are fractions?Fractions are defined as the expressions that involves the part of a whole number or the part of a variable.
There are different types of fractions in mathematics. These fractions are namely;
Proper fractions.Improper fractionsComplex fractions.Simple fractions.Mixed fractions.Also, in converting mixed fractions to improper fractions, we have to multiply the denominator of the fraction by the whole number, then, add the value of the product to the numerator.
We have that;
1 1/2x 2 1/3
convert to improper fractions
3/2 × 7/3
Multiply
7/2
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Find the quotient of 6a³ ÷ 3a.
Answer:
cancel the terms and you will get the answer which is 2
Answer:
i hope i have been useful buddy.
good luck
NO LINKS!!
A consulting engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $425 fir a certain job. If the assistant worked 5 hours less than the engineer, how much time did each bill on the job?
Engineer: _____ hr
Assistant: ______ hr
Answer:
Engineer: 9.5 hr
Assistant: 4.5 hr
Step-by-step explanation:
To solve this problem, we can create and solve a system of equations.
Define the variables:
Let x be the number of hours the engineer worked.Let y be the number of hours the assistant worked.Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:
\(40x+10y=425\)Given the assistant worked 5 hours less than the engineer:
\(y=x-5\)Therefore, the system of equations that represents the problem is:
\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)
Substitute the second equation into the first equation to eliminate y:
\(40x+10(x-5)=425\)
Solve the equation for x to find the number of hours the engineer worked:
\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)
Therefore, the engineer worked 9.5 hours.
Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:
\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)
Therefore, the assistant worked 4.5 hours.
Find the slope! I really need help fast
Answer:
C
Step-by-step explanation:
goodluck
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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The stem and leaf plot shows the number of items in each of the 12 collections in a museum.
According to the 1.5 outlier rule, there are two outliers.
What are the outliers?
An outlier is a number that is way smaller or way larger than that of other numbers in a data set.
The 1.5 rule for large outliers is :
Q3 - (1.5 x IQR)
Where:
Q3 = third quartile IQR = interquartile rangeIQR = 13 - 6 = 7
13 + (1.5 x 7) = 23.50
Outliers are numbers that are greater than 23.50. These are 26 and 39.
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The cost of a monthly cell phone plan is represented by the expression 0.35m+55, where mis
the number of text messages sent.
What could the 55 represent?
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
Rewrite the equation in the form (x - h)2 = k.
0 = x2 - 16x + 36
(x- _____)^2=_____
Answer:
The standard form of a quadratic function is f(x)=a(x−h)2+k. The vertex (h,k) is located at h=–b2a,k=f(h)=f(−b2a).
The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?
Answer:
45° and 135°
Step-by-step explanation:
let x be the angle then its supplement is 190 - x
Given x is 3 times its supplement , then
x = 3(180 - x) ← distribute parenthesis by 3
x = 540 - 3x ( add 3x to both sides )
4x = 540 ( divide both sides by 4 )
x = 135
and 180 - x = 180 - 135 = 45
The 2 angles are 45° and 135°
. Solve the following
1. Jane had 4 apples
. She divided them so that she had just enough
fourths of an apple for each friend and herself. How many of them
were there?
20
2. Four-eighths of the class built a diorama while
of them built a
wishing well. Which activity had more members?
15
3. Renee Ann has a rope
that is
6/4 meters long. Baby has one that is 15/10 meters long. Who has a long rope?
Answer:
Step-by-step explanation:
1. If there are 4 apples, each apple has 4 fourths x 4 apples =16 fourths
2. Something is missing???
3. 6/4 x 5/5=30/20, 15/10 x 2/2=30/20 so both are same length
For Christmas you want to get your parents a framed family picture. At the framing store, there are 4 different styles each available in 5 different colors. You decide to use a blue mat board and there are 3 different shades of blue to choose from. How many different frames can you create?
The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,
Calculate the total number of frames, we can create as shown below,
The number of frames = different styles available for blue color × shades of blue
The number of frames = 4 × 3
The number of frames = 12
Thus, the number of frames you can create is 12.
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Can 10 18 10 make a triangle
Answer:
No
Step-by-step explanation:
Btw, you know this using Pythagorean therom
10^2 equals 100 and you have two 10's so now you have 200
18^2 equals 324
And because even in a straight line 200 is not long enough for the 324 so it would not fit.
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Which of the binomials below is a factor of this trinomial?
x^2+8x+16
This is because the given expression factors to (x+4)(x+4), which condenses to (x+4)^2.
To factor, think of two numbers that A) multiply to 16, and B) add to 8. Those values would be 4 and 4
4+4 = 8
4*4 = 16
So that's how we end up with (x+4)(x+4). You can use the FOIL rule to expand that out and get x^2+8x+16 again to help verify you have the correct factorization.
What is the area of parallelogram ABCD?
A)13 square units
B)14 square units
C)15 square units
D)16 square units
Answer:
c 15 square units
Step-by-step explanation:
it is very easy
Someone pls help me I’m stuck
Answer:
center= (0, -9)
r=1
Step-by-step explanation:
formula for circle= (x-h)^2+(y-k)^2= r^2
(h, k)= center
r= radius
We know that h is 0 since (x-h)^2 is x^2.
We know k= -9 from (y+9)^2
since r^2=1
r=1