How do you make x the subject of the formula?
Step-by-step explanation:
Open the brackets
px - pq = x
Add pq to both sides.
px = x + pq
Subtract x from both sides.
px - x = pq
x (p - 1) = pq
Divide both sides by (p - 1)
x = pq/(p-1)
Please gimme brainliest.
Find the slope from point C to point D.
Answer:
12/7
Step-by-step explanation:
Point C is at ( 0,0)
Point D is at ( 7,12)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( 12-0)/(7-0) = 12/7
Help with this question please my last question
Answer:
∠A≅∠Z AB≅ZX
∠B≅∠X AC≅ZY
∠C≅∠Y BC≅XY
ΔCBA≅ΔYXZ
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
Let me know if you ever need help !
PLEASE HELP ;_; IM SO CONFUSED-
Answer:
option d. 6/10
.....................
Answer:
it would have to be 3/5 i think but i actually think option 1 or 4
Step-by-step explanation:
Amir arranged 9 photos on a bulletin board. He put the photos in rows. Each row contains the same number of photos. How many photos could be in each row? (Giving Brainliest)
Options:
a. 1, 6 or 9 photos
b. 1, 3 or 9 photos
c. 1, 2 or 9 photos
d. 1, 3 or 6 photos
Answer:
I select b, 1,3, or 9 photos as my answer.
Six bags of flour and six bags of sugar weigh 50 pounds. Eight bags of flour weighs 50 pounds. All bags of flour weigh the same, and all bags of sugar weigh the same. What is the ratio of the weight of a bag of flour to a bag of sugar?
The ratio of a bag of flour to a bag of sugar is 3:1
What is ratio?A ratio can be defined as the relationship or comparison between two entity of the same unit.
Represent a bag of flour = x
a bag of sugar= y
6 bags of flour plus 6 bags of sugar is 50pounds
6x+6y= 50
8 bags of flour is also 50 pounds
8x= 50
Therefore a bag of flour is
x= 50/8
from 6x+6y= 50
6y= 2x
y= 2×50/48
y= 50/24
x:y=50/8:50/24
multiply the two ratios by 24
x:y= 150:50
x:y= 3:1
The ratio of flour to sugar is 3:1
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Sharon Fox decided to buy a home in Marblehead, Massachusetts, for $282,000. Her bank requires a 20% down payment. Sue Willis, an attorney, has notified Sharon that besides the 20% down payment there will be the following additional costs:
Recording of the deed $ 37.00
A credit and appraisal report 162.00
Preparation of appropriate documents 55.00
In addition, there will be a transfer tax of 2% of the purchase price and a loan origination fee of 2% of the mortgage amount. Assume a 30-year mortgage at a rate of 10.5%.
a. What is the initial amount of cash Sharon will need? (Do not round intermediate calculations. Round your answer to the nearest cent.)
b. What is her monthly payment? (Do not round intermediate calculations. Round your answer to the nearest cent.)
c. What is the total cost of interest over the life of the mortgage? (Do not round intermediate calculations. Round your answer to the nearest cent.)
The initial amount of cash that Sharon will need in this scenario will be $67821.20.
How to calculate the payment?The initial amount of cash will be:
= ($282000 × 20%) + ($282000 × 2%) + ($276360 × 2%) + ($162) + ($37) + $55
= $56400 + $5640 + $5527.20 + $162 + $37 + $55
= $67821.20
Therefore, the the initial amount of cash Sharon will need is $67821.20.
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In triangle ABC , the measure of ∠ABC is 42°, and the measure of ∠BCA is 113º. What is the measure of ∠CAB? Enter your answer in the box. °.
Answer:
25
Step-by-step explanation:
A triangle is 180 degrees, we have the measures of 2 angles
ABC and BCA so we subtract 180-113-42=25
Hope this helps tell me if im correct
Answer:
25
Step-by-step explanation:
Solve this equations using substitutions
-2x+6y=1
Find the slope of this line.
Answer:
5/2
Step-by-step explanation:
To find a slope you use rise over run.
The graph shows that you rise 5 for every 2 right.
Work out, giving your answer as a mixed number:
Answer:
1 11/20
Step-by-step explanation:
hope this helps! :)
Answer:
\( 1 \frac{11}{20} \)
Step-by-step explanation:
\(3 \frac{3}{4} - 2 \frac{1}{5} \\ \\ = 3.75 - 2.2 \\ \\ = 1.55 \\ \\ = \frac{155}{100} \\ \\ = 1 \frac{55}{100} \\ \\ = 1 \frac{11}{20} \)
Given point (-6, -3) and a slope of 4, write an equation in point-slope form.
Answer:
C
Step-by-step explanation:
Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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the ratio of peter's age to richard's age is $5:8.$ the ratio of john's age to peter's age is $7:12.$ none of the three are over $100$ years old. what is the sum of their ages?
The sum of Peter, Richard, and John's ages is 191.
We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)
The ratio of John's age to Peter's age is = 7/12 --(ii)
Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)
Using the value of (i),(ii),(iii), we get -
Age of Peter = (5*12)/(8*12) = 60/96
= 60 years of age
Age of John = (7*5)/(12*5) = 35/60
=35 years of age
From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age
Hence the sum of their ages is = 96+35+60
= 191
Therefore, we know that the sum of their ages is 191.
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i really need help..im confused
The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5
What are marginal frequencies?Marginal frequency is the ratio between either a column total or a row total and the total sample size.
For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.
The marginal frequency of chocolate is calculated as;
The total frequency of chocolate = 30+45 = 75
The grand frequency = 75+25 = 100
marginal frequency of chocolate = 75/100
= 0.75
The marginal frequency of strawberry = 25/100
= 0.25
The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50
Therefore the marginal frequency of chocolate is greater than strawberry by 0.5
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problem 5 (30 points, each 10 points). in a chemical plant, 24 holding tanks are used for final product storage. four tanks are selected at random and without replacement. suppose that four of the tanks contain material in which the viscosity exceeds the customer requirements. 1. what is the probability that exactly one tank in the sample contains high-viscosity material? 2. what is the probability that at least one tank in the sample contains high-viscosity material? 3. in addition to the four tanks with high-viscosity levels, four different tanks contain material with high impurities. what is the probability that exactly one tank in the sample contains high-viscosity material and exactly one tank in the sample contains material with high impurities?
1. The probability of selecting exactly one tank with high-viscosity material is 0.
2. The probability of selecting at least one tank with high-viscosity material is 1.
3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.
1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.
2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.
3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.
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Lisa earns 4.75% on her sales.
She averages $50,000 in sales monthly.
Additionally, she earns $500 biweekly.
What is her annual pay (including commissions)?
The graph below shows the height of a
flower based on the number of weeks since it
was planted. What is the linear equation
representing this situation?
A. y = -x + 2
B. y = x + 2
C. y = 1/2x + 2
D. y = 2x + 2
Answer:
B. y=x+2
Step-by-step explanation:
the lines goes up by 1 for the x-intercept so you don't have to write 1x you can just write it as x
and the y intercept is at (0,2) so it would be +2
Busby is a famous cat on a video sharing app the total number of likes for busby's most popular video grows by 10% every month the total number of lights for the video and months from now will be 4000 times one. one point one to the power of m. how many likes will busby video have right now
Busby's most popular video grows by 10 percentage every month, then the busby likes will video have right now = 4400 times.
Given that,
Busby's most popular video grows by 10% every month
The total number of lights for the video and months from now will be 4000 times one.
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
We can write,
P = 4000
r = 10%
r = \(\frac{10}{100}\)
n = 1
t = 1
F = P * \((1+\frac{r}{n}) ^{nt}\) ( Equation-1 )
We can substitute this values in equation-1,
F = 4000 \((1+\frac{\frac{10}{100} }{1} )^{1}\)
Evaluate the equation,
F = 4000 ( \((1+\frac{0.1}{1} )^{1}\)
F = 4000 ( 1 + 0.1 )
F = 4000 ( 1.1 )
F = 4400
Therefore,
Busby's most popular video grows by 10 percentage every month, then the busby likes will video have right now = 4400 times.
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Use the Distributive Property to evaluate the expression.
5(3 + 0.4)
OA 8.4
OB 17
C 13.4
OD 15.4
Hello there! :)
The Distributive property states:
a(b+c)=ab+ac
So, we know what a is. It's 5.
b=3
c=0.4
5(3+0.4)
5*3+5*0.4
15+0.2
15.2
Hope it helps!
\(GraceRosalia\)
Select the correct answer
Which statement is true about the slope of the graphed line?
A the slope is negative B the slope is positive. C the slope is negative D the slope is undefined
Answer:
the slope is positive B
Answer: The answer is B hope that helps you!!
Step-by-step explanation:
There are 50 deer in a particular
forest. The population is increasing
at a rate of 15% per year. Write an
exponential growth function that
represents the number y of deer in
that forest after x months. Round
to the nearest thousandth.
answered
There are 50 deer in a particular forest. The population is increasing at a rate of 15% per year. Which exponential growth function represents
the number of deer y in that forest after x months? Round to the nearest thousandth.
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Answer:
The expression that represents the number of deer in the forest is
y(x) = 50*(1.013)^x
Step-by-step explanation:
Assuming that the number of deer is "y" and the number of months is "x", then after the first month the number of deer is:
y(1) = 50*(1+ 0.15/12) = 50*(1.0125) = 50.625
y(2) = y(1)*(1.0125) = y(0)*(1.0125)² =51.258
y(3) = y(2)*(1.0125) = y(0)*(1.0125)³ = 51.898
This keeps going as the time goes on, so we can model this growth with the equation:
y(x) = 50*(1 - 0.15/12)^(x)
y(x) = 50*(1.013)^x
The exponential growth function that represents the number y of deer in that forest after x months is 50 × \((1.013)^{x}\).
What is exponential growth function?An exponential function is a nonlinear function that has the form of
y=\(ab^{x}\),wherea≠0,b>0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an exponential growth function rises from left to right.
There are 50 deer in a particular forest.
The population is increasing at a rate of 15% per year.
Assuming that the number of deer is 'y' and the number of month is 'x' then after the first month the number of deer is
y(x) = 50 × \(1+(\frac{0.15}{12} )\)
= 50 × 1.0125
= 50.625
y(2) = y(1) × (1.0125)
= y(0) × \((1.0125)^{2}\)
= 51.258
y(3) = y(2) × (1.0125)
= y(0) × \((1.0125)^{2}\)
= 51.898
y(x) = 50 × \((1-\frac{0.15}{12} )^{x}\)
= 50 × \((1.013)^{x}\)
Hence, the exponential growth function that represents the number y of deer in that forest after x months is 50 × \((1.013)^{x}\).
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I dont get this can someone try to help me understand?
The area of the parallelogram in the middle outline in purple is equal to 6 square units.
Area of parallelogramIn calculating for the area of parallelogram, the base is multiplied by the height, as the same way for calculating the area of a rectangle.
The whole figure is a parallelogram with:
base = 5 + 3 = 8 units
height = 6 + 3 = 9 units
area of the whole parallelogram figure = 8 × 9
area of the whole parallelogram figure = 72 square units
area of blue parallelogram = 3 × 6 = 18
area of 2 blue parallelogram = 36 square units
area of red parallelogram = 5 × 3 = 15
area of 2 red parallelogram = 30 square units
Area of parallelogram in the middle = 72 - (30 + 36)
Area of parallelogram in the middle = 6 square units
Therefore, the area of the parallelogram in the middle outline in purple is equal to 6 square units.
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Eight workers took 2 1/4 days to dig half of a tunnel. If only two workers are going to finish the tunnel, how long will it take them?
Answer:
0.5625
Step-by-step explanation:
Find the slope of the line perpendicular to the given line. y=(-6x)+10
Answer:
-6
Step-by-step explanation:
in y=mx+b the slope is m so the answer is in the question :)
f(x) =x^2-3x-18 vertex?
Answer:
(3/2, -81/4)Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex (h, k).
Answer:
\(\sf Vertex \left(\dfrac{3}{2}, \dfrac{-81}{4}\right)\)
Step-by-step explanation:
Vertex of quadratic function: Write the equation in vertex form by using the method completing the square.y = x² - 3x - 18
Add 18 to both sides.
y + 18 = x² - 3x
Divide the co-efficient of x by 2 and square the result and then add it to both sides.
Co-efficient of x = 3. Divide 3 by 2and add (3/2)² to both sides
\(\sf y + 18 + \left(\dfrac{3}{2}\right)^2= x^2 - 3x + \left(\dfrac{3}{2}\right)^2\\\\\\y + 18+\dfrac{9}{4}=x^2 - 3x + \dfrac{9}{4}\\\\\\\)
\(\sf y + \dfrac{18*4}{1*4}+\dfrac{9}{4}=\left(x - \dfrac{3}{2}\right)^2\\\\\\y + \dfrac{72}{4}+\dfrac{9}{4}=\left(x - \dfrac{3}{2}\right)^2\\\\\\y + \dfrac{81}{4}=\left(x-\dfrac{3}{2}\right)^2\\\\ y = \left(x-\dfrac{3}{2}\right)^2 -\dfrac{81}{4}\\\\\)
Vertex form: f(x) = (x - h)² + k
where h and k are the vertex co-ordinates.
\(\sf \boxed{\bf Vertex \left(\dfrac{3}{2}, \dfrac{-81}{4}\right)}\)
Slope is ez I’m just to lazy to do the math
Answer:
1 / 4 ( or ) 0.25
Step-by-step explanation:
( x1, y1 ) = ( 5, 2 )
Here,
x1 = 5
y1 = 2
( x2, y2 ) = ( 1, 1 )
Here,
x2 = 1
y2 = 1
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 1 - 2 ) / ( 1 - 5 )
= - 1 / - 4
Slope = 1 / 4
Proper fraction = 1 / 4
Integer = 0.25
Interger = - 1.125
Answer:
Solution given:
\((x_1,y_1)=(5,2)\)
\((x_2,y_2)=(1,1)\)
now
slope [m]=\(\frac{y_2-y_1}{x_2-x_1}=\frac{1-2}{1-5}=\frac{-1}{-4}=¼\)
Negative slope?
WILL MARK BRAINLIEST!!! !!
(picture included^^^)
Answer:
y= -3/-1
Step-by-step explanation:
hope it helps.
Consider a car rental for $42, plus $0.22 per mile driven. Which statements are correct?
A) This situation is modeled by a linear function.
B) If the car is driven 200 miles, the rental will cost $86.
C) If the car is driven 500 miles, the rental will cost $142.
D) This situation can be modeled by the function f(x) = 0.22x + 42.
E) This situation can be modeled by the function f(x) = (0.22)X + 42.
Answer:
a, b and d
Step-by-step explanation:
200 miles x 0.22 = 44$ + 42$= 86$
the equation would be f(x)= 0.22x + 42.
and its linear.
BLOOD TYPES For every 10 people that donated blood, 3 had blood type A positive. If 51 people who had type A positive donated blood, how many people donated blood?
Answer:add all the numbers together then divide the answer by 10
Step-by-step explanation: