Answer:
v = 4
Step-by-step explanation:
[tex]collect \: like \: terms \: \\ 7v - 4v - v + 4v = 7 + 7 + 10\\ 3v - v + 4v = 14 + 10\\ \\ 2v + 4v = 24 \\ 6v = 24 \\ v = 4[/tex]
JMP made a profit of $85,000 last year. If the profit margin increased by 20% this year what is the amount of profit made by JMP
The amount of profit made by JMP is 102000.
Given,
In the question;
JMP made a profit of $85,000 last year.
If the profit margin increased by 20% this year.
To find the amount of profit made by JMP.
Now, According to the question:
Based on the given condition:
Formulate:
= 85000 x (20% + 1)
Calculate;
85000 x (0.2 + 1)
Calculate the sum or difference
85000 x 1.2
= 102000
Hence, The amount of profit made by JMP is 102000.
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Lena took out a $9000 loan for 7 months and was charged simple interest. The total interest she paid on the loan was $336.
The loan given has a rate of 0.53%
Simple InterestSimple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same, unlike compound interest where we add the interest of previous years principal to calculate the interest of the next year.
The formula of simple interest is given as;
S.I = P(1 + RT)
S.I = Simple interestP = principalR = rateT = timeSubstituting the values into the formula;
(9000 + 336) = 9000(1 + r * 7)
9336 = 9000 + 63000r
Collecting like terms
336 = 63000r
r = 0.0053
r = 0.0053 * 100
r = 0.53%
The rate on the loan is 0.53%
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Help a lot of points if u answer this fast but correct
Answer: ZYH
PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!!
The CDC is investigating if the average blood pressure of the US population is
different from 123. A hypothesis test is conducted which returns a sample mean of
128 and a p-value of 0.0037. What is the appropriate conclusion at the 5%
significance level?
Option B. The appropriate conclusion at the 5% significance level is to Reject the null hypothesis, the population mean is significantly different from 123
How to test the hypothesisH0: mean = 123
H1 : mean ≠ 123
We have the p value of the statistics stated already in the question as p value = 0.0037.
The level is significance that we have been given in the question is 5% = 0.05
We are to test here if the true mean is different from 123.
Hence we would be testing the p value against the significance level.
We can see that P value is < level of significance.
0.0037 < 0.05
Hence we would reject the null hypothesis.
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there are three consecutive odd integers such that if the second is subtracted from twice the sum of the first and third,the result is 52 more than the first. find the sum of the first and second
The sum of the first and second integer is 44.
How to illustrate the information?Let the numbers be x, x+2 and x+4.
If the second is subtracted from twice the sum of the first and third,the result is 52 more than the first. This will be:
2(x + 2 + x + 4) - (x + 2) = x + 52
2(2x + 6) - (x + 2) = x + 52
4x + 12 - x - 2 = x + 52
Collect like terms
4x - x - x = 52 - 12 + 2
2x = 42
Divide
x = 42/2
x = 21
Second Integer = x + 2 = 21 + 2 = 23
Third integer = x + 4 = 21 + 4 = 25
Sum = 21 + 23 = 44
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During the WMS Presidential elections, candidate #1 received 75 votes whereas candidate #2, who
promised better lunches and longer seminar class times received 165 votes. What is the percentage
difference between the WMS Presidential Candidate # 1 and WMS Presidential Candidate # 2's total
number of votes?
Answer: candidate 2 has 90 votes
Step-by-step explanation:
165-75=90
A combination lock uses 4 numbers, each of which can be 0 to 32. If there are no restrictions on the
numbers, how many possible combinations are available?
If there are no restrictions on the numbers then the possible number of combinations is 1,185,921.
What is a combination?
Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
Here,
There are 4 numbers needed for the combination and one can pick between 0 and 32.
This means that there are 33 numbers that can be used for the lock including 0.
The number of possible combinations is:
= Number that can be used with no restrictions on the number combination lock limit
= 33 ⁴
= 1,185,921 combinations
Hence, If there are no restrictions on the numbers then the possible number of combinations is 1,185,921.
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Latrina is planning to serve hors d'oeuvres at her wedding. She plans on offering 8 hors d'oeuvres for every 3 people
Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding .
In the question ,
it is given that
At Latrina's wedding
number of hors d’oeuvres offering that 3 people will get = 8 offering
So, the number of offering of hors d’oeuvres that 1 person will get = 8/3 .
we need to find that
how many hors d’oeuvres will she serve for 240 people .
So ,
the number of hors d’oeuvres offering that 240 people will get =(8/3)×240
= 8 × 80
= 640
Therefore , Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding .
The given question is incomplete , the complete question is
Latrina is planning to serve hors d’oeuvres at her wedding. She plans on offering 8 hors d’oeuvres for every 3 people. If she has invited 240 people to the wedding, how many hors d’oeuvres will she serve?
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David and Vicky share £36 in the ratio 2:7. How much do they each
receive?
David share is £8
Vicky share is £28
From the question, we have
David and Vicky share £36 in the ratio 2:7.
David share = £36 *2/9 = £8
Vicky share = £36 *7/9 = £28
Multiplication:
The product of the numbers is what is obtained in mathematics when two or more numbers are multiplied. We frequently perform it since it is one of the fundamental mathematical operations. Using multiplication tables is the most straightforward use. In mathematics, adding a number repeatedly in relation to another is represented by multiplying two integers. These figures can be natural figures, whole figures, fractional figures, integer figures, or other figures. When m is multiplied by n, m is either added to itself n times or multiplied by n.
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Differentiate the function with respect to x.
If the function be f(x) = (2[tex]$$x^4[/tex] + 1) sin 2[tex]$$x^5[/tex] then by differentiating the equation with respect to x, we get sin (2)(18[tex]$$x^8[/tex] + 5[tex]$$x^4[/tex]).
What is meant by differentiation?Differentiation is a process that is applied to a function to determine the rate of change of the function in comparison to the rate of change of the independent variable. The result of differentiating a function is known as its derivative. It gives the slope of the function's graph at each point.Differentiation refers to tailoring instruction to meet the needs of each individual. Whether teachers differentiate content, process, products, or the learning environment, the use of continuous assessment and flexible grouping makes this a successful instructional approach.Let the given function be f(x) = (2[tex]$$x^4[/tex] + 1) sin 2[tex]$$x^5[/tex]
Differentiating with respect to x, we get
d/dx((2[tex]$$x^4[/tex] + 1) sin 2[tex]$$x^5[/tex])
= sin (2) (d/dx(2[tex]$$x^4[/tex] + 1) [tex]$$x^5[/tex] + d/dx ([tex]$$x^5[/tex]) (2[tex]$$x^4[/tex] + 1)
d/dx (2[tex]$$x^4[/tex] + 1) = 8x³
d/dx ([tex]$$x^5[/tex]) = 5[tex]$$x^4[/tex]
= sin (2) (8x³ + 5[tex]$$x^4[/tex] ( (2[tex]$$x^4[/tex] + 1)
Simplify
= sin (2) (8x³ + 5[tex]$$x^4[/tex] ( (2[tex]$$x^4[/tex] + 1)
= sin (2) (18[tex]$$x^8[/tex] + 5[tex]$$x^4[/tex]
Therefore, the function be f(x) = (2[tex]$$x^4[/tex] + 1) sin 2[tex]$$x^5[/tex] then by differentiating the equation with respect to x, we get sin (2)(18[tex]$$x^8[/tex] + 5[tex]$$x^4[/tex]).
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A company gives yearly raises to their employees. The salaries at the company are based on the equation below, where S is the salary before taxes and t is the time since the date of hire in years.
S = $33,113 + $600t
What is the minimum number of years an employee would have to stay to make a salary of over $40,000 per year?
A. 13 years
B. 12 years
C. 11 years
D. 1 year
Based on the equation, the minimum number of years an employee would have to stay to make a salary of over $40,000 per year is B. 12 years.
What is an equation?An equation is a mathematical statement that defines that two or more mathematical expressions are equal or equivalent.
Equations show equality using the equation symbol (=).
When one expression is more or less than, or not equal to another expression, it is an inequality.
If S = $33,113 + $600t
Where S = the salary before taxes
t = the time since the date of hire in years.
For S ≥ $40,000:
$33,113 + $600t ≥ $40,000
$600t ≥ $40,000 - $33,113
$600t ≥ $6,887
t ≥ 11.48
t = 12 years
Thus, using the given equation, an employee needs to stay at the work for 12 years to earn more than $40,000 a year.
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Fill in the table using this function rule. y=-2x-3
Answer:
6
Step-by-step explanation:
the answer is 6
How many different 10-letter words (real or imaginary) can be formed from the following letters?
X, W, C, V, R, Z, W, U, M, A
There are 181440 number of different 10 letter words , (real or imaginary) that can be formed from the given letters .
In the question ,
it is given that ,
the letters are X, W, C, V, R, Z, W, U, M, A ,
since the total number of letters = 10 ,
So , 10 letter can be arranged in 10! ways = 362880 ways
and we can also see that the letter W is repeated 2 times
So it can be arranged in 2! ways = 2 ways .
So , the total number of different 10 letters words that can be formed is calculated by dividing total number of possible arrangements by arrangement of each repeated letter ,
that is ,
= 362880 / 2
= 181440 .
Therefore , There are 181440 number of different 10 letter words (real or imaginary)that can be formed from the given letters .
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Can you help me solve this problem?
The probability that the sample proportion surviving for at least 3 years will be less than 67% is of:
0.1131 = 11.31%.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is given by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the calculated z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The proportion and the sample size are given as follows:
p = 0.73, n = 80.
Hence the mean and the standard error are given as follows:
[tex]\mu = 0.73[/tex].[tex]s = \sqrt{\frac{0.73(0.27)}{80}} = 0.0496[/tex]The probability that the sample proportion surviving for at least 3 years will be less than 67% is the p-value of Z when X = 0.67, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (0.67 - 0.73)/0.0496
Z = -1.21
Z = -1.21 has a p-value of 0.1131.
Hence the probability is:
0.1131 = 11.31%.
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Directions - Write an equation in slope-intercept (y = mx + b) form for each line.
The equation in slope intercept form of the line that passes through the graph is y = 2/3x + 2
How to determine the equation of the line?From the graph, we have the points to be given as
(-3,0) and (0,2)
Start by calculating the slope of the points using the following slope equation
m = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-3,0) and (0,2)
So, we have
m = (2 - 0)/(0 + 3)
Evaluate
m = 2/3
The equation is then calculated as
y = m(x - x₁) + y₁
Where
(x, y) = (0, 2) and m = 2/3
So, we have
y = 2/3(x - 0) + 2
Expand
y = 2/3x + 2
Hence, the equation in slope intercept form of the line is y = 2/3x + 2
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a jet left paris and flew toward moscow at an average speed of 410 mph. an air force plane left three hours later and flew in the opposite direction with an average speed of 160 mph. how long does the Air Force plane need to fly before the planes are 3510 miles apart?
The time the airforce plane needs to before the planes are 3510 miles apart is 8.32 hours.
What is time?Time is the duration of an event
How to find how long before the planes are 3510 m apart?Since a jet left paris and flew toward moscow at an average speed of 410 mph. an air force plane left three hours later and flew in the opposite direction with an average speed of 160 mph.
The distance flown by the jet is d = vt where
v = speed of jet = 410 mph and t = time of flight of jet planeSo, d = 410t
Also, the distance flown by the airplane is D = vt' where
v = speed of airplane = 160 mph and t' = time of flight of airforce plane = t + 3 (since it flies 3 hours later)So, D = 160t'
= 160(t + 3)
Since the total distance apart of the both jet and airplane is D' = d + D, we have
D' = 410t + 160(t + 3)
Given that D = 3510 miles, we have that
410t + 160(t + 3) = 3510
Soving for t, we have
410t + 160t + 480 = 3510
570t = 3510 - 480
570t = 3030
t = 3030/570
t = 5.32 hours
Since t' = t + 3, we have
t' = 5.32 + 3
= 8.32 hours
So, the airforce plane needs to fly for 8.32 hours.
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An Olympic-size swimming pool holds approximately 6×105 gallons of water. The capacity of this swimming pool is between which interval?
The capacity of this swimming pool is between B. 500 gallons to 1,000 gallons.
What is the capacity?Capacity refers to the product of the length, width, and height of a three-dimensional object or space.
The capacity of an object means the same as its volume.
Olympic-size swimming pools have the following standard dimensions:
Length = 50 m
Width = 25 m
Height = 2 m
Capacity of an Olympic swimming pool = 2,500 m³ (50 x 25 x 2)
= 660,000 gallons (2,500 x 1,000 ÷ 3.785)
An interval estimate shows the lower and upper limits.
6 x 105 gallons = 630 gallons
Thus, the capacity of the swimming pool is Option B.
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Question Completion with Answer Options:A. 100 gallons to 500 gallons
B. 500 gallons to 1,000 gallons
C. 1,000 gallons to 1,500 gallons
D. 1,500 gallons to 2,000 gallons
I need answer help please
For given function f(x) = 7/(x² - 5),
f(a + 4) = 7/(a² + 8x + 11)
In this question we have been given a function f(x) = 7/(x² - 5)
We need to evaluate f(a + 4)
Substitute x = a + 4 in given function.
f(a + 4)
= 7/((a + 4)² - 5)
= 7/(a² + 8x + 16 - 5)
= 7/(a² + 8x + 11)
Therefore, for given function f(x) = 7/(x² - 5),
f(a + 4) = 7/(a² + 8x + 11)
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Given the inequality 4x ≤ 28, determine the value of x.
Step-by-step explanation:
Given the inequality 4x ≤ 28, determine the value of x.
4x ≤ 28
divide both sides by 4:
4x/4 ≤ 28/4
x ≤ 7
set builder notation: (-∞, 7]
answer:
The value of x is 7.
Step-by-step explanation:
4x ≤ 28 | divide both sides by 4
4x / 4 = x and 28 / 4 = 7
therefore, x ≤ 7
The function a ( b relates the area of a trapezoid with a given height of 12 and one base length of 9 with the length of its other base.it takes as input the other base value and returns as output the area of the trapezoid
A (b)=12. B+9/2 which equation represents the inverse function b ( a which takes the trapezoids areas and put and returns as output the length of the other base
Answer:
B(a) = a/6 - 9
Step-by-step explanation:
The equation that represents the function B(a) as the length of the side parallel to the base is B(a) = a/6 - 9, as per the area of a trapezoid.
What is the area of a trapezoid?
If the length of two parallel sides of a trapezoid is 'a', 'b' and the height of that trapezoid is 'h', then the area of a trapezoid can be represented as
= [(a + b)h]/2
Given, the base of the trapezoid is 9 and the height of the trapezoid is 12.
Therefore, 'b' is the parallel side of the base.
The given function that represents the area of the trapezoid is:
A(b) = [12(b + 9)]/2
Let, A(b) = a.
Therefore, a = [12(b + 9)]/2
⇒ 2a = 12(b + 9)
⇒ a = 6(b + 9)
⇒ a = 6b + 54
⇒ 6b = a - 54
⇒ b = (a - 54)/6
⇒ b = a/6 - 9
If we assume the length of the side parallel to the base 'b' = B(a), therefore, the equation will be:
B(a) = a/6 - 9
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
There are two mystery numbers. The sum of 6 times the first number and 4 times the second number is -2. The sum of 6 times the first number and 2 times the second number is 8. What are the two numbers?
The first number is 3 and the second number is -5.
According to the question,
We have the following information:
There are two mystery numbers. The sum of 6 times the first number and 4 times the second number is -2. The sum of 6 times the first number and 2 times the second number is 8.
Now, let's take the first number to be x and the second number to be y.
So, we have the following expressions:
6x+4y = - 2
6x = -2-4y ...(1)
6x+2y = 8
Putting the value of 6x from equation 1:
-2-4y+2y = 8
-2-2y = 8
-2y = 8+2
-2y = 10
y = -10/2
y = -5
Putting this value of y in equation 1:
6x = -2-4y
6x = -2-4*(-5)
6x = -2+20
6x = 18
x = 18/6
x = 3
Hence, the first number is 3 and the second number is -5.
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Caroline was comparing the price of salmon at two stores. At SuperGrocery B, 3
pounds of salmon costs $24.63. The table below represents the total cost, in dollars
and cents, y, that it costs for a pounds of salmon at SuperGrocery A.
SuperGrocery A
Pounds (z) Total Cost (y)
2
$23.70
2.5
$29.63
3.5
$41.48
4.5
$53.33
How much more expensive is it, per pound, to buy salmon at
SuperGrocery A than at SuperGrocery B?
By the concept of basic arithmetic, it is $3.64 more expensive per pound, to buy salmon at Super Grocery A than at Super Grocery B.
What is meant by basic arithmetic?The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. The four fundamental arithmetic operations in mathematics are addition (finding the sum), subtraction (finding the difference), multiplication (finding the product), and division (finding the quotient). These operations can be applied to all real numbers. The usage of fundamental arithmetic operations is the focus of the field of mathematics known as arithmetic.
At Super grocery B, 3 pounds of Salmon cost = $ 24.63
So, 1 pound will cost = $ 24.63/ 3
= $ 8.21
At Super grocery A, 2 pounds of Salmon cost = $ 23.70
So, 1 pound will cost = $23.70/ 2
= $ 11. 85
To buy salmon at SuperGrocery A than at SuperGrocery B expense per pound is given by
= $11.85 - $ 8.21
$ 3.64
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Graph a linear function with the given slope and y-intercept slope:3 y-intercept: 10
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
\What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = 3
y-intercept = 10
The equation of a line is given as y = mx + c
m = slope
c = y-intercept
Now,
m = 3
c = 10
So,
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
Thus,
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
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How many dogs do they need to walk in order to pay for the box of treats?
hint:In the equation for the function representing the profit, substitute 5 for y and solve the equation for x.
hint:Round up to the nearest whole number of dogs.
The number of dogs do they need to walk in order to pay for the box of treats is 4
The function that representing the profit is
y = 3x - 5
The slope intercept form is
y = mx + b
Where m is the slope of the line
b is the y intercept
Here the cost for buying a box of treat = $5
Substitute the value in the function and find the number of dog that they need to walk
5 = 3x - 5
3x = 5 + 5
3x = 10
x = 10 / 3
x = 3.33
x ≈ 4
Hence, the number of dogs do they need to walk in order to pay for the box of treats is 4
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Compute the value of the expression C (8,5)
The value of C (8,5) is 56.
What is the combination?A combination is made up of n different items that are taken one at a time without repeating itself.
The given expression is C(8,5).
The expression C (8,5) can be denoted as ₈C₅.
The formula for selecting x thins from n things is:
ₙCₓ = n!/( (n-x)! x!)
Therefore, the value of ₈C₅ is:
₈C₅ = 8!/( (8-5)! 5 !)
= 8!/( 3! ×5!)
= (8×7×6×5!)/( 3! ×5!)
= (8×7×6)/(3!)
= (8×7×6)/(6)
= 8×7
=56
Hence, the value of C (8,5) is 56.
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What is tan 67 degrees
Emory walks one lap on the
track every 7 minutes. Madison
walks one lap on the track every
8 minutes. How many minutes
will pass before they meet on
track at the same time?
Answer: 56 minutes
Step-by-step explanation:
7 = 7, 14, 28, 35, 42, 49, 56
8 = 8, 16, 24, 32, 40, 48, 56
7 and 8 have 56 in common so it would take them 56 minutes
What is the equation of this line in slope intercept form?
2x+3y=−6
HELPPP FOR BRAINLEST????
Answer:
[tex]2,8,14,20[/tex]
Step-by-step explanation:
If the first term of a sequence is [tex]2[/tex] and the common difference is [tex]6[/tex], then each successive term in the sequence is [tex]6[/tex] more than the previous term:
[tex]a_n=6n-4[/tex]
Therefore, the first term is [tex]2[/tex], followed by [tex]8[/tex], [tex]14[/tex], and [tex]20[/tex].
I need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The area of triangle using vertices is D) A = (1/2) [[tex](y_2-y_1)(x_3-x_1)[/tex]]
What is area of triangle using vertices ?
The length of a triangle's three sides must first be determined if the triangle's vertices are known. The distance formula can be used to determine the length. when the vertices in the coordinate plane are known, the process to determine the triangle's area. Consider the triangle PQR, whose coordinates P, Q, and R are [tex](x_1,y_1)(x_2,y_2)[/tex], and [tex](x_3,y_3)[/tex] respectively.
If the triangle's area is zero and its vertices are P[tex](x_1,y_1)[/tex] Q[tex](x_2,y_2)[/tex], and R[tex](x_3,y_3)[/tex] then (1/2) [[tex]x_1(y_2-y_3)[/tex] + [tex]x_2(y_3-y_1)[/tex]+ [tex]x_3(y_1-y_2)[/tex]] = 0 and its points are collinear.
Here the given vertices are, [tex](x_1,y_1),(x_1,y_2)[/tex] and [tex](x_3,y_3)[/tex] then the area of triangle is ,
=> A = (1/2) [[tex]x_1(y_2-y_3)[/tex] + [tex]x_2(y_3-y_1)[/tex]+ [tex]x_3(y_1-y_2)[/tex]]
=> A = (1/2) [[tex]x_1(y_2-y_3)[/tex] + [tex]x_1(y_3-y_1)[/tex]+ [tex]x_3(y_1-y_2)[/tex]]
=> A = (1/2)[ [tex]x_1y_2-x_1y_3+x_1y_3-x_1y_1+x_3y_1-x_3y_2[/tex]]
=> A = (1/2) [[tex]x_1y_2-x_1y_1+x_3y_1-x_3y_2[/tex]]
=> A = (1/2) [[tex]x_1(y_2-y_1)-x_3(y_2-y_1)[/tex]]
=> A = (1/2) [[tex](y_2-y_1)(x_3-x_1)[/tex]]
Hence the correct option is D) A = (1/2) [[tex](y_2-y_1)(x_3-x_1)[/tex]]
To learn more about area of triangle refer the below link
https://brainly.com/question/25292087
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