Answer:
35
Step-by-step explanation:
When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°.
So, x + 12 + 4x - 7 = 180.
5x + 5 = 180
5x = 175
x = 35
A survey shows that ..
Answer:
It is C, 66.67%
Step-by-step explanation:
HELPPPPPPP
solve this inequality: 3b - 7 < 32
a. b< 13
b. b< 8.33
c. b< 5
d. b< 39
Margo borrows $800 agreeing to pay it back with 8% annual interest after 8 months. how much interest will she pay?
Answer:
43
Step-by-step explanation:
800 × 8% × (8/12)
You plant two flowers in a garden. The equations y = 12.2x + 19 and y = 5.3x + 19 model the heights y of the flowers, in millimeters, after x days. What does the y-intercept of each equation represent? Will the flowers ever be the same height? What does the y-intercept of each equation represent? The rate of growth of the flower The difference of the flowers' heights O The height of the flower when planted O The height of the flower after 10 days
After 10 days, the first flower will be 141mm tall, and the second flower will be 72mm tall.
What are the linear equations in two variables?
A linear equation in two variables is an equation that can be written in the form y = mx + b, where m and b are constants and x and y are variables.
In this case, we have two linear equations in two variables, y = 12.2x + 19 and y = 5.3x + 19, which model the heights y of the two flowers, in millimeters, after x days.
The y-intercept of each equation represents the initial height of the flower when it was planted, which is 19mm for both flowers. This is because when x = 0 (i.e. at the time of planting), the equation reduces to y = mx + b = m(0) + b = b.
To determine if the flowers will ever be the same height, we need to solve the system of equations y = 12.2x + 19 and y = 5.3x + 19 simultaneously. We can do this by setting the right-hand sides of the two equations equal to each other:
12.2x + 19 = 5.3x + 19
Subtracting 5.3x from both sides, we get:
6.9x = 0
Dividing both sides by 6.9, we get:
x = 0
This means that the flowers will be at the same height after 0 days, or in other words, at the time they were planted. After that, their heights will diverge.
The y-intercept of each equation represents the height of the flower when it was planted.
To find the height of each flower after 10 days, we can substitute x = 10 into each equation:
For the first flower, we have:
y = 12.2x + 19 = 12.2(10) + 19 = 141 mm
For the second flower, we have:
y = 5.3x + 19 = 5.3(10) + 19 = 72 mm
Therefore, after 10 days, the first flower will be 141mm tall, and the second flower will be 72mm tall.
To learn more about the linear equations in two variables, visit:
https://brainly.com/question/24085666
#SPJ1
Bristol's credit card has a 30.99% APR, a minimum monthly payment of 3.5%, and a current statement balance of $4,186.19. She spends $750.00 in purchases and makes the current minimum monthly payment of $146.52. What will be Bristol's next minimum monthly payment?
a)$123.69
b)$145.50
c)$167.64
d)$171.97
Bristol's next minimum monthly payment is $171.97
How was the minimum monthly payment of $146.52 computed?
The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19
minimum monthly payment=$4,186.19*3.5%
minimum monthly payment=$146.52
The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month
beginning balance next month before interest=($4,186.19-$146.52)+ $750.00
beginning balance next month before interest=$4,789.67
beginning balance next month after interest=$4,789.67*(1+30.99%/12)
beginning balance next month after interest=$4,913.36
Bristol's next minimum monthly payment=3.5%*$4,913.36
Bristol's next minimum monthly payment=$ 171.97
Find out more minimum monthly payment on:brainly.com/question/28105962
#SPJ1
pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
Read more on inequality:
https://brainly.com/question/25275758
#SPJ1
2 2.1 Mathematical intro show that there is another form for spherical harmonics: 1 3 3 Y₁ x iy 1/√√2 (²-1) 2πT 2π 1 3 3 z YO 2 2π π r 1 3 x iy Y₁¹ 3 2π - - 12 √ √ 2² (²+²) 2 2π
Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:
Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)
Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:
Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)
Y1,0 = 1/2 √(3/π)cosθ
Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)
Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ
Y2,0 = 1/4 √(5/π)(3cos²θ-1)
Y0,0 = 1/√(4π)
The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.
To know more about Spherical harmonics visit
https://brainly.com/question/23067012
#SPJ11
is (, ) = 3 − 32 an harmonic function? if yes, then find a corresponding analytic function ()
No, f(x, y) = 3x - 3y^2 is not a harmonic function.
A harmonic function is a twice continuously differentiable function f(x, y) that satisfies the Laplace equation:
∂²f/∂x² + ∂²f/∂y² = 0.
Let's check if f(x, y) = 3x - 3y^2 satisfies the Laplace equation:
∂²f/∂x² = ∂/∂x(3) = 0
∂²f/∂y² = ∂/∂y(-6y) = -6
∂²f/∂x² + ∂²f/∂y² = 0 + (-6) = -6 ≠ 0
Since the Laplace equation is not satisfied, f(x, y) = 3x - 3y^2 is not a harmonic function.
As for finding a corresponding analytic function, an analytic function is a function that is locally given by a convergent power series. Since f(x, y) is not a harmonic function, there is no corresponding analytic function.
Read more about harmonic functions at:
https://brainly.com/question/30385079
#SPJ11
pls help with these, at least up to finishing question 2 or Question 3b
Answer:
For question 3b the answer is no because the common difference is 4
Step-by-step explanation:
6,10,14,18,22,26,30,34
It will be 34 not 33
Gail needs 9 yards of fabric for a quilt. How many different patterns of fabric does she need if she buys 1/4 of a yard of each pattern? patterns
Answer:
36
Step-by-step explanation:
just divided 9 by 1/4 I think I may be wrong.
Algebraically solve for x:
7/2x - 2/x+1 = 1/4
The value of x in the algebraic equation 7 / 2x - 2 / x + 1 = 1 / 4 is 7 and -2
How to solve algebraic equation?let's find the value of x in the algebraic equation.
7 / 2x - 2 / x + 1 = 1 / 4
Therefore, let's solve the left side.
7 / 2x - 2 / x + 1 = 7(x + 1) - 4x / 2x(x + 1) = 7x + 7 - 4x / 2x² + 2x = 3x + 7 / 2x² + 2x
3x + 7 / 2x² + 2x = 1 / 4
cross multiply
4(3x + 7) = 2x² + 2x
12x + 28 = 2x² + 2x
2x² + 2x - 12x - 28 = 0
2x² - 10x - 28 = 0
x² - 5x - 14 = 0
Therefore,
(x + 2)(x - 7)
hence,
x = -2 or x = 7
learn more on algebraic equation here: https://brainly.com/question/7194400
#SPJ1
5a-5b=5
a+b=3
Método sustitución
Answer:
a=2
b=1
Step-by-step explanation:
5a-5b=5
a+b=3
-a -a
b=3-a
5a-5(3-a)=5
5a-5(3)-5(-a)=5
5a-15+5a=5
10a-15=5
10a=20
a=2
2+b=3
b=1
5(2)-5b=5
10-5b=5
-5b=-5
b=1
Answer:
a = 2
b = 1
Step-by-step explanation:
5a - 5b = 5
a + b = 3
----------------------
5(a + b = 3)
= 5a + 5b = 15
---------------------------
5a - 5b = 5
5a + 5b = 15
10a = 20
÷10 ÷10
a = 2
-----------------------------
a + b = 3
2 + b = 3
-2 -2
b = 1
---------------------------
I hope this helps!
y + 2 = 2/3 (x - 4)
Slope
Answer: Y = 2/3x - 14/3
Answer:
2/3
Step-by-step explanation:
y+2=2/3 (x-4)
1. multiply parentheses (y+2=2/3x-8/3
2. subtract 2 from both sides (y=2/3x-2/3
3. 2/3x is the slope
X^6-64 divided by X+2
Answer:
\( \frac{ {x}^{7} + 2x - 64 }{x} \)
Step-by-step explanation:
\( {x}^{6} - 64 \div x + 2\)
➡️ \( {x}^{6} - \frac{64}{x} + 2\)
➡️ \( \frac{ {x}^{7} - 64 + 2x }{x} \)
➡️ \( \frac{ {x}^{7} + 2x - 64 }{x} \)
FIRST ONE TO AWNSER GETS BRAINLYISTAND 50 POINTS
AND MY LOVE !!!!!!!!!!
Answer:
Answer: c
Step-by-step explanation:
A. ❎
\(16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116\)
B. ❎
\(16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)
C. ✔
\(16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)
D. ❎
\(16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116\)
Please help me.
1. 7/12 ÷ ¾ = ??
2. ¾ ÷ 1/3 = ??
3. ½ ÷ 3/6 = ???
4. 2/3 ÷ 1/6 = ???
5. 7/12 ÷ 1/12 = ???
Answer:
\(1. \: \: \frac{7}{9} \)\(2. \: \: \frac{9}{4} \)\(3. \: \: 1\)\(4. \: \: 4\)\(5. \: \: 7\)Step-by-step explanation:
\(1. \: \: \frac{7}{12} \div \frac{3}{4} \)\( \frac{7}{12} \times \frac{4}{3} \)\( \frac{7}{3} \times \frac{1}{3} \)\( \frac{7}{3 \times 3} \)\( \frac{7}{9} \)\(2. \: \: \frac{3}{4} \div \frac{1}{3} \)\( \frac{3}{4} \times 3\)\( \frac{3 \times 3}{4} \)\( \frac{9}{4} \)\(2 \frac{1}{4} \)\(3. \: \: \frac{1}{2} \div \frac{3}{6} \)\( \frac{1}{2} \times \frac{6}{3} \)\( \frac{3}{3} \)\(1\)\(4. \: \: \frac{2}{3} \div \frac{1}{6} \)\( \frac{2}{3} \times 6\)\(2 \times 2\)\(4\)\(5. \: \: \frac{7}{12} \times \frac{1}{12} \)\( \frac{7}{12} \times 2\)\(7\)Hope it is helpful...2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
To know more about hypothesis test refer here:
https://brainly.com/question/29996729#
#SPJ11
If Charlotte spent 25% more on furniture than she will on flooring, how much did she spend on furniture? Will give brainlyest two first and correct answer! Please help!
$
Answer:
Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:
Hence, she spends $893.59 on furniture. hope it helps man
Step-by-step explanation:
what does -125%+28/20 equal
Answer:
0.15
Step-by-step explanation:
Answer:
The answer is 0.65
Step-by-step explanation:
I hope I helped :)
Find the equation (in terms of x ) of the line through the points (−2,−2) and (3,1)
Answer:
The equation of the line is y = 35x - 45.
Step-by-step explanation:
When you have two points, you can use the point-slope form.
(y - y1) = m(x - x1)
To find the slope, you use the slope formula: y2-y1/x2-x1.
In this case, it would be 1 - (-2)/3 - (-2), which is 3/5.
Now just plug the values in, and you get y - (-2) = 3/5(x - (-2) which is also written as y + 2 = 3/5(x + 2).
If you want it in slope-intercept form, then you solve the equation for y, and then you get 35x - 45.
Hope this helps!
Please give brainliest(I NEED IT SO BAD)
Express each ratio as a fraction in the simplest form.
12 beetles out of 18 insects
.
Answer:
2/3
Step-by-step explanation:
12/6=2
18/6=3
so
the fraction is 2/3
i think this is what your teachers means, lmk if thats wrong
Find the total area of the rectangle.
5.
За
5
2a
--7h
3
-3h
SOMEONE PLEASE HELP ME WITH THESE 2 QUESTIONS THEY ARE DUE BY 6:00 MOUNTAIN TIME !
Answer:
oi 5. 16
Step-by-step explanation:
Answer:
5. 6a^2 + 10a
6. 21h^2 - 9h
Step-by-step explanation:
(2a*3a) + (2a*5) = 6a^2 + 10a
(-3h)*(-7h) + (-3h)*3 = 21h^2 - 9h
5(x - 3) = - 4(x - 2) + 9x
the perimeter of a rectangular field is 312 yards. if the length of the field is 83 yards,what is the width
Solution:
Consider the following diagram of the rectangular field:
The perimeter P of a polygon is the sum of its sides, thus we can express the perimeter of the given rectangular field as:
\(P\text{ = 2W + 2L }\)where P = 312 yards, L = 83 yards, and L is unknown. Then, replacing the given data into the previous equation, we get:
\(312\text{ = 2(W) + 2(83)}\)this is equivalent to:
\(312\text{ = 2(W) + }166\)solving for 2W, we get:
\(2W\text{ = 312 - 166 = 146}\)solving for W, we get:
\(W\text{ = }\frac{146}{2}=\text{ 73}\)we can conclude that the correct answer is:
The width of the rectangular field is 73 yards.
Suppose that you invest $10,000 in a risky investment. at the end of the first year, the investment has decreased by 50% of its original value. at the end of the second year, the investment increases by 60% of the value it had at the end of the first year. your investment consultant tells you that there must have been a 10% overall increase of the original $10,000 investment. is this an accurate statement? if not, what is your actual percent gain or loss on the original $10,000 investment. round to the nearest percent.
well, let's take a looksie, if it decreased by 50% the 1st year, that means what's leftover is 50% of it, well
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{50\% of 10000}}{\left( \cfrac{50}{100} \right)10000}\implies 5000\)
so, on the next year it increases by 60% of 5000
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 5000}}{\left( \cfrac{60}{100} \right)5000}\implies 3000~\hfill \underset{current~value}{\stackrel{5000~~ + ~~3000}{8000}}\)
well, 10% of 10000 is 1000 bucks, if the consultant is correct, I should have 10000 + 1000 = 11000, but I don't, so he needs a nice cup of tea and chill some.
well, I started with 10000 bucks, now I only have 8000, lost 2000 bucks, 2000 is 1/5 of 10000 or namely 20%.
There are 180 students going on a class field trip. Of those students, 40% are boys. How many students on the field trip are boys?
Answer:72 are boys.
Step-by-step explanation:
40%of 180 is 72.
Answer:
72 boys
Step-by-step explanation:
I got this right in a test hope this helps!!!
I NEED HELP ASAP!!!!!!
(2x + 29) + 91 = 180.
This is because they add to form a straight line which is 180 degrees, in other words the angles are supplementary.
2x + 29 = 89 (Subtract 91 from each side)
2x = 60 (Subtract 29 from each side)
x = 30 (Divide 2 from each side)
x = 30
The answer is B
Complete the square to re write the quadratic function in vertex form: y=-7x^(2)+84x-251
With the help of complete square we find the vertex form of the given equation is y = (x - 6)² - 1
What is Vertex form?
The vertex form of a parabola is: y = a(x - h)² + k
Here, a, h and k are real numbers, where a ≠ 0. x and y are variables where (x, y) represents a point on the parabola.
In the vertex form, y = a(x - h)² + k, there is a "whole square". So to convert the standard form to vertex form, we need to complete the square.
The standard form of a parabola is: y = ax² + bx + c
Here, a, b, and c are real numbers where a ≠ 0.
Find h using h = -b/2a
Since (h, k) lies on the given parabola, k = ah² + bh + c. Just use this to find k by substituting the value of 'h' from the above step.
Given:
y = -7x² + 84x - 251
First divide the equation by -7, we get,
y = x² - 12x + 35
x² - 12x + 35 = 0
Subtract 35 from both the sides,
x² - 12x + 35 - 35 = -35
x² - 12x = -35
Take the coefficient of x, which is 12, divide by two, giving 6, and finally square it giving 36.
Add 36 to both sides,
x² - 12x + 36 = -35 + 36
x² - 12x + 36 = 1
(x - 6)² = 1
y = (x - 6)² - 1
So, this is required vertex form of the given equation.
To know about vertex form visit:
brainly.com/question/13921516
#SPJ1
Write the following algebraic expressions in words:
i) 5n-10
ii) x(5+x)
iii) x to the second power +2x
Answer:
not the answer:
you can do it think and stay positive
A factory makes sheets of metal that are 7/10 of an inch thick. If a worker at the factory makes a stack of 71 of the sheets, how many inches thick will the stack be?
Write your answer as a fraction or as a whole or mixed number.
Answer: 49.7
Step-by-step explanation:
7 X 71 = 497 = 49.7
10 10