In slope-intercept form, we have these values (y = mx + b):
m = slope
b = y-intercept
Change the equation from standard form to slope-intercept form.
-9x + 7y = 28
-9x + 9x + 7y = 28 + 9x
7y = 28 + 9x
7y/7 = 28/7 + 9x/7
y = 4 + 9/7x
y = 9/7x + 4
Therefore, the y-intercept is 4.
Best of Luck!
Question 16 of 22 -
MYA-Math-Alg1-CBT-2020-2021: Section 1
Question: 1-16
In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of feet that the top of the bridge w
minutes that the drawbridge was open.
40
30
Feet Above Water
20
10
+
1
2
3
4
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the rate of change over these intervals. Complete th
drawbridge (in feet per minute) at each of the specified intervals.
-25 -12.5-5 -2.50 2.5 5 12.5 25
Answer:
25, 0, -12.5
Step-by-step explanation:
See attached
Rate of change is:
Interval 0 - 1 min
(40-15)/(1-0) = 25/1 = 25Interval 1 - 2 min
(40 - 40)/(2-1) = 0/1 = 0Interval 2- 5 min
(15 - 40)/(4-2) = -25/2 = -12.5Solve 14x-7y= 21 for y
A. y = 2x - 21
B. y=-14x + 21
C. y = 14x +3
D. y=2x-3
Answer:D
Step-by-step explanation::
Simplify the product using the distributive property
(3h - 5)(5h + 4)
Step-by-step explanation:
(3h - 5)(5h + 4) = 3h * 5h + 3h * 4 - 5*5h - 5 *4
= 15h^2 - 13h -20
\((3h-5)(5h+4)\)
\(=(3h+-5)(5h+4)\)
\(=(3h)(5h)+(3h)(4)+(-5)(5h)+(-5)(4)\)
\(=15h^2+12h-25h-20\)
Answer:
\(\bold{=15h^2-13h-20}\)Please help, thanks!
pls someone anwser quick
What is the Measure of angle AOE in the figure below?
Answer:
The answer is D: 130
Step-by-step explanation:
(3x-28) +90+(66-x) = 180
2x + 128 = 180
2x = 52
x = 26
Therefore Angle AOE = 90 + (66-26)
= 130
At which points is the function continuous?
The function is continuous in the domain x ≥ 3/4
At which points is the function continuous?Here we have a root function:
f(x) = ⁴√(4x - 3)
This is an even degree root function, so we have problems when the argument is negative.
Then the allowed values (where the function is defined, and thus, continuous) are:
4x - 3 ≥ 0
4x ≥ 3
x ≥ 3/4
There the function is continuous.
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The surface area of a square pyramid is 125 square feet. The base length is 5 feet. What is the slant height?
Answer:
10.31 ft
Step-by-step explanation:
the base is 25 ft²
leaves 100 ft² for the 4 sides on top
so each triangle got 25ft²
the base length of the triangle is 5ft, bc it's the base length of the pyramid
so the height of the triangle is 10ft,
bc only then do we get a surface area of 25ft²
(b * h /2) for the triangle
now that we got base length and height,
let's look for the slant
we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.
leaving us with 10ft (height) and 2.5ft
slant² = 10² + 2.5²
slant² = 106.25
slant = sqrt(106.25)
slant = 10.31
A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?
Answer:
70%
Step-by-step explanation:
the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes
to find a percentage we can buff up the ratio to add up to 100
14 + 6 = 20
100 / 20 = 5
that means we must multiply each side by 5
14 * 5 = 70
6 * 5 = 30
the ratio is now 70 to 30
you would have 70% of milkshakes that are small
Find value of b and A
Answer:
Hi
Step-by-step explanation:
Please paste your question so I can solve it
Thanks
Nisha collects comic books, and she convinced her friend Hakim to start collecting as well. Every week, they go to the store together, and they each buy a new comic book. This table shows how many books they each have:
By using the given table, we will get the linear equation:
h = n - 9
How to find the equation for Hakim?
We know that they always get comic books together, so always that Nisha's collection increases by one, Hakim's collection will also increase by one, so we will have a linear equation.
Now, if you look at the given table, you can see that Hakim's collection is always 9 units less than Nisha's collection, then the linear equation that models the relation between the two collections, h and n, is really straightforward, it will be:
Hakim's collection = Nisha's collection - 9
Using the variables, we get:
h = n - 9
That is the linear equation Hakim wanted.
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Answer:
h=n-9
Step-by-step explanation:
find the nominal rate of 22% compounded every 3 months
show solution
Using compound interest, it is found that the nominal rate is of 23.88%.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.The nominal rate is:
\(n_r = \left(1 + \frac{r}{n}\right)^n - 1\)
In this problem:
Rate of 22%, hence \(r = 0.22\).Compounded every 3 months, hence \(n = \frac{12}{3} = 4\).Then, the nominal rate is:
\(n_r = \left(1 + \frac{0.22}{4}\right)^4 - 1 = 0.2388\)
The nominal rate is of 23.88%.
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What is the prime factorization of 252?; What is the prime factorization of 50?; How do you find the prime factorization on a calculator?; What are the prime numbers for 52?
Using prime numbers and evaluating the factors of the given number, The prime factorization of 252 is 2 x 2 x 3 x 3 x 7. The prime factorization of 50 is 2 x 5 x 5. We can directly calculate the prime factorization using a calculator. Prime numbers for 52 is 2 and 13.
What do you mean by prime number?A natural number higher than 1 that is not the product of two smaller natural numbers is referred to as a prime number (or a prime).
What are the factors of a number?Numbers that split an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal halves.
Prime factors of 252= 2 x 2 x 3 x 3 x 7
Prime factors of 50 = 2 x 5 x 5
Prime factors of 52 = 2 x 2 x 13
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I need help, if is right I mark you as brainliest.
A. He made a division error.
B. He combined the variable terms incorrectly.
C. He combined the constants incorrectly.
D. He distributed -5 incorrectly.
Answer:
D. He distributed -5 incorrectly.
Step-by-step explanation:
Last option is the correct answer.
Answer:
Parker: D. He distributed -5 incorrectly.
Step-by-step explanation:
could someone help me with this and show work?
The volume of the shape is 490cm³
What is volume of prisms?A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.
The base of this prism is rectangular. The volume of a prism is expressed as;
V = base area × height
base area = 7 × 10 = 70cm²
height = 7cm
the volume of the shape = 70× 7 = 490cm²
therefore the volume of the shape is 490cm³.
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For questions 3-4, use the graph of the polynomial function to find the factorization of the polynomial. Assume there is no constant term. 3
3. The factored polynomial is p(x) = (x - 1)(x - 5)
4. The factored polynomial is p(x) = (x + 3)²
What is a polynomial?A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.
3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.
This implies that its factors are (x - 1) and (x - 5)
So, the factored polynomial is p(x) = (x - 1)(x - 5)
4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots
This implies that its factors are (x - (-3)) = (x + 3) twice
So, the factored polynomial is p(x) = (x + 3)²
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By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one month, you spent 290 minutes on the phone, and paid $22.25. In another month, you spent 360 minutes on the phone, and paid $24.00.
Let x be the number of minutes you talk over the phone in a month, and let y be your cell phone bill for that month. Use a linear equation to model your monthly bill based on the number of minutes you talk over the phone.
a. This linear model's slope-intercept equation is_____________.
b. If you spent 140 minutes over the phone in a month, you would pay________________ .
c. If in a month, you paid $26.25 of cell phone bill, you must have spent ______________minutes on the phone in that month.
Answer:
(a) \(y = 0.025x+15\)
(b) 18.5 minutes
(c) 450.4 minutes
Step-by-step explanation:
Given
\(290\ minutes = \$22.25\)
\(360\ minutes = \$24.00\)
Solving (a): Determine the linear equation
First, we need to calculate the slope (m)
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Where
\((x_1,y_1) = (290,22.25)\)
\((x_2,y_2) = (360,24.00)\)
So, we have:
\(m = \frac{24.00 - 22.25}{360 - 290}\)
\(m = \frac{1.75}{70}\)
Multiply through by 100
\(m = \frac{1.75 * 100}{70 * 100}\)
\(m = \frac{175}{7000}\)
Next, is to calculate the equation of the line using:
\(y - y_1 = m(x - x_1)\)
Recall that:
\((x_1,y_1) = (290,22.25)\)
\(m = \frac{175}{7000}\)
\(y - 22.25 = \frac{175}{7000}(x - 290)\)
\(y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290\)
\(y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}\)
Add 22.25 to both sides
\(y = \frac{175x}{7000} - \frac{5075}{700} + 22.25\)
\(y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}\)
\(y = \frac{175x}{7000} + \frac{10500}{700}\)
\(y = 0.025x+15\)
(b) Solve for y when x = 140
\(y = 0.025x+15\)
Substitute 140 for x
\(y = 0.025 * 140 + 15\)
\(y = 3.5 + 15\)
\(y = 18.5\)
(c) Solve for x when y = 26.25
\(y = 0.025x+15\)
Substitute 26.25 for y
\(26.25 = 0.025x + 15\)
Solve for 0.025x
\(0.025x = 26.26 - 15\)
\(0.025x = 11.26\)
Solve for x
\(x = 11.26/0.025\)
\(x = 450.4\ minutes\)
(1 point) Find the vector and parametric equations for the line through the point P= (-1,1,-4) and parallel to the vector (0, -3, -2). Vector Form: r(t) Parametric form (parameter t, and passing through P whent 0): (1 point) Find the vector and parametric equations for the line through the point P= (-1,1,-4) and parallel to the vector (0, -3, -2). Vector Form: r(t) = Parametric form (parameter t, and passing through P when t = 0): Z = (t) = y = y(t) z = z(t) =
The equation of the line in vector and parametric form is found to be R = -i+j-4k + λ(-3j-2k) and x+1/0 = y-1/-3 = z+4/-2 = t.
The line pass through the point P (-1,1,-4) and parallel to the vector (0, -3, -2).
Now, the vector form of the line is given by,
R = A+λB
Where, A is the point from which line pass, B is the parallel vector and λ is the scalar.
Putting values,
R = -i+j-4k + λ(-3j-2k)
Now, the parametric form of the equation will be,
x-a/m = y-b/n = z-c/l
Where, m, n, l are the direction ratios of the line that are equal to the vector that is parallel and a, b, c are the direction cosines of the line that are the point through which the line passes. So,
x+1/0 = y-1/-3 = z+4/-2 = t
Where t is any parameter.
So, the vector and parametric form of the equation of line are R = -i+j-4k + λ(-3j-2k) and x+1/0 = y-1/-3 = z+4/-2 respectively.
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prove that for every positive rational number r satisfying the condition r2<2 one can always find a larger rational number r h (h>0 ) for which (r h)2<2 .
Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.
Consider the number rh = r + h. We have:
(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16
= r^2 + 2 + (2 - r^2)/16
< 2 + 2 + (2 - 2)/16 = 2.
Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.
Step-by-step explanation:
The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.
With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.
What is the Venn diagram?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.
Circles that overlap share certain characteristics, whereas circles that do not overlap do not.
Venn diagrams are useful for showing how two concepts are related and different visually.
When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.
Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.
So, we need to find:
A ∪ B
Now, calculate as follows:
The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:
8 + 7 + 14 + 6 + 1 + 8 = 44
n(A∪B) = 44
Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.
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What are the zeros of the function
Answer: i think c
Step-by-step explanation:
A jar contains nickels and dimes. There is a total of 25 coins in the jar. The value of the coins is $1.75. How many nickels and how many dimes are in the jar?
Answer: 11 nickels 12 dimes
Step-by-step explanation:
Use the following equations to solve...
.05n+.10d=1.75
and
n+d=25
The rugs in an office are shaped like parallelograms. Each has a base of 18 inches and a height of 10 inches. What is the area of the rug
Answer:
180 in²
Step-by-step explanation:
The area of a parallelogram is base times height.
b × h
18 × 10
= 180
The area of the rug is 180 in².
line n passes through the points (-3, -7.5) and (2, -5). tahlia determined that the equation of line n is y = 0.5x. explain the error tahlia made while determining her equation. be sure to include the correct equation in your explanation
Answer:
Tahlia was correct in remembering that you can find the slope of a line using the slope formula.
She was also correct that the slope is 0.5.
However, if you use the slope-intercept formula y = mx + b, you still have to find b (the y-intercept) by plugging in one of the two points and the slope.
So, if we plug in the first point and the slope into the line, we can find b and thus the full equation of the line:
\(-7.5=0.5(-3)+b\\-7.5=-1.5+b\\b=-6\\\\y=0.5x-6\)
Categorical(qualitative) or quantitative. Indicate whether quantitative data are continuous or discrete.
1. Gender
2. Age
3. Grade Point Average
4. Number of Courses Currently Enrolled
5. Enrollment Status (Part-Time or Full-Time)
Answer:
1. Gender - qualitative
2. Age - Quantitative (Discrete)
3. Grade point Average - quantitative (Continuous )
4. Number of courses currently enrolled - quantitative (discreet)
5. Enrollment Status - qualitative
Step-by-step explanation:
Qualitative variables are those which are non-numeric, usually made up of strings or words. The quantitative variables are numeric, usually composed of digits and numbers.
Discreet variables have a finite or limited number of values which are countable as opposed to continuous variables with a non-finite range and hence, uncountable.
Gender is a qualitative variable as it is composed of non-nemeric labels which could be either Male or Female.
Age - is numeric and hence quantitative, since age is usually expressed in years, hence it is discreet.
Grade point Average is a quantitative and continuous variable due to its numeric nature and the fact that it can take up an infinite number of possible values including decimal values.
Number of courses enrolled is numeric can take a finite number of values, hence, it is discreet.
Enrollment status is qualitative as it is split into :
Part time or full time.
poop I don't know what to do-
Me either ive been stuck on a question and no one will help me
Answer:
me three
Step-by-step explanation:
you guys are awesome
Find an expression which represents the difference when (-4x – 3y) is subtracted
from (-2x – 10y) in simplest terms.
Answer: (-2x-10y)-(-4x-3y)
-2x-10y-(-4x-3y)
-2x-10y+4x+3y
-2x+4x-10y+3y
-2x+4x-10y+3
Answer =2x-7y
Step-by-step explanation:
Two added to the square root of the sum of a number and five is equal to seven. Find the number.
Answer:
Step-by-step explanation:
Based upon these results, how many two-dozen tulip arrangements should the florist expect to sell if it anticipates 4,600 more customers?
Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.
To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.
Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.
To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.
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What is −30y − 15 if y is 7? (I NEED THIS ASAP)
A: −225
B: −195
C: −52
D: −36
Answer:
-225
Step-by-step explanation:
-30(7)-15
-210-15
-225