Answer:
4x+y-4=0
Step-by-step explanation: For an equation to be parallel to another all it needs is the same slope but a different y-intercept. So you can really other equations like 4x+y-3=0, 4x+y-5=0, 4x+y-6=0, etc. can be the answer to your problem.
In each diagram shown below, solve for the length of side CD using the information given. Show the trig ratio you use and your algebra to find your final answer. Round all answers to the nearest tenth
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
What are the Trigonometry Ratios?The trigonometry ratios are used to find a length or angle in any right triangle. They are:
SOH, which is sin ∅ = opp/hypCAH, which is cos ∅ = adj/hypTOA, which is tan ∅ = opp/adja. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
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ASAP Please i need this done in the next 20 minutes
cos^2B-sin^2B=3cosB+1
the answer is "Using the trigonometric identity
sin²x + cos²x = 1 , then sin²x = 1 - cos²x
Consider the left side
sin²a - sin²b
= (1 - cos²a) - (1 - cos²b)
= 1 - cos²a - 1 + cos²b
= cos²b - cos²a
= right side , thus verified"
Use a ladder method to write 48 and 180 as a product of their prime factors?
help ASAP!!! answer e f g h question
Step-by-step explanation:
answer......
...........
Which of the following is not an exponential function?
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150. 00 with a standard deviation of $30. 20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2. 5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test? The customers spend more than the national average in his store. The manager should decrease prices in his store. The customers do not spend more than the national average in his store. The customers in his store just come from a rich neighborhood.
The valid conclusions for the manager based on the considered test is given by: Option
When do we perform one sample z-test?One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
Population mean = [tex]\mu[/tex] = $150Population standard deviation = [tex]\sigma[/tex] = $30.20Sample mean = [tex]\overline{x}[/tex] = $160Sample size = n = 40 > 30Level of significance = [tex]\alpha[/tex] = 2.5% = 0.025We want to determine if the average customer spends more in his store than the national average.Forming hypotheses:
Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: [tex]H_0: \mu_0 \leq \mu = 150[/tex]Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically [tex]H_1: \mu_0 > \mu = 150[/tex]where [tex]\mu_0[/tex] is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:
[tex]z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094[/tex]
The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
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Answer:
A
Step-by-step explanation:
-x - 3y = 6, 2x + 3 = -8 equivalent equation and solution
Answer:
x = -11/2 , y = -1/6
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]
[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]
Hence, x = -11/2 , y = 1/6
~Learn with Lenvy~
Pls help giving brinerlist
The answer is A
difference means to subtract
while product means to multiply!
(i hope this helps!)
This is a map of a remote desert region. the government want to supply power to all villages in this region. edges
represent potential connection routes and existing roads. distances are in miles. the plan is to design an mst
system, where the power lines plug into the hub (the village with the most connections running through it).
which village is the hub?
yanu
ollsed
mai
The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.
What is a map?Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.
In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.
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Luke drove 150 miles in 3 hours. at this rate how long will it take him to drive 250 mmiles
Answer: 4 1/2 hours
Step-by-step explanation:
if it takes luke 3 hours to drive 150 miles that means in 6 hours he would have driven 300 miles.
he drives 50 miles per hour
so 250 miles is 4 1/2
Find the 11th term of the following geometric sequence 2,6,18,54,…
Answer:
118,098
Step-by-step explanation:
Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.
so 54*3 = 162 and keep multiplying your answer by three until you have 11 times
What is the word form for 407,219?
A
Four hundred seventy thousand and two hundred ninety
B
Four hundred seventeen thousand, two hundred nineteen
C
Four hundred seven thousand, two hundred nineteen
D
Four hundred seven thousand, two hundred and nineteen
Answer:
C or D Both basically
Step-by-step explanation:I read them
Help pleaseee i am awful at math
Step-by-step explanation:
answer is B
use unitary method to solve it
if the length of a square is decreased by 1 unit , the area will be 8 square units.Write an equation for the area of the square
Answer:
(x-1)²=8.
Step-by-step explanation:
1) if the length before decreasing is 'x', then after decreasing it is x-1;
2) then the area is (x-1)²=8.
PS. the length before decreasing is 1+2√2.
I NEED THIS ASAP PLEASE
Answer:
21
Step-by-step explanation:
I bought a keychain for $6.75 and a T-shirt that cost X dollars each altogether the items cost $31.50 complete the type diagram
Answer:
24.75
Step-by-step explanation:
keychain=$6.75
t.shirt=X
according to question
X+6.75=31.50
X=24.75
The top-grossing movies last year were Movie A with $700 million, Movie B with $680 million, Movie C with $610
million, and Movie D with $420 million. Suppose we randomly selected 2 of the movies. Fill in all of the means that
are not already provided in the table?
The maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively
How to determine the maximum and the least amounts?The grossing amounts are given as:
Movie A = $700 millionMovie B = $680 millionMovie C = $610 millionMovie D = $420 millionThe selection of two movies could be any of the following selections
Selection = AB, AC, AD, BC, BD, and CD
The gross of each selection is:
AB = $700 million + $680 million = $1.38 billion
AC = $700 million + $610 million = $1.31 billion
AB = $700 million + $420 million = $1.12 billion
BC = $680 million + $610 million = $1.29 billion
BD = $680 million + $420 million = $1.10 billion
CD = $610 million + $420 million = $1.03 billion
In the above computation, the maximum and the least gross amounts are:
AB = $1.38 billion
CD = $1.03 billion
Hence, the maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively
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Answer:
mean of A, C = 655
mean of B, C = 645
mean of C, D = 515
Step-by-step explanation:
you just take whatever the 2 numbers are (for A, B, C, D) and find the mean between them both,, also correct on edge
Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how many square feet of sod she will need to completely cover the yard. a. Draw the yard, and label the measurements. b. How much sod will Heather need to cover the yard? Show your work and/ or explain your reasoning.
Answer:
313.6 sqft.
Step-by-step explanation
Decimal
First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.
Fraction
First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.
PLEASE HELP AND ANSWER CORRECTLY
I know the axis of symmetry but I don't know how to put it in an equation
please review the graph and answer you may use the other answers to help
Answer:
standard form: y = x² - 2x - 8
vertex form: y = (x − 1)² - 9
factorized form: y = (x + 2)(x - 4)
Step-by-step explanation:
From inspection of the graph:
Axis of symmetry: x = 1Vertex = (1, -9)x-intercepts = (-2, 0) and (4, 0)y-intercept = (0, -8)Standard quadratic form: y = ax² + b x + c
Vertex form of a quadratic equation: y = a(x − h)² + k
If a > 0 then the parabola opens upwards
If a < 0 then the parabola opens downwards
(h, k) is the vertex
c is the y-intercept
Inputting the vertex into the vertex form gives:
y = a(x − 1)² - 9
= a(x² - 2x + 1) - 9
= ax² - 2ax - 8
Using the x-intercepts to create a quadratic equation:
y = a(x + 2)(x - 4)
= a(x² - 2x - 8)
= ax² - 2ax - 8a
Comparing the y-intercepts:
-8 = -8a ⇒ a = 1
Therefore, y = x² - 2x - 8
The parabola y=x^2 is scaled vertically by a factor of 8
Answer:
2x8=16 so there for y=x^18
Step-by-step explanation:
PLS HELP ILL MARK AS BRAINLIEST
Answer:
296, 288, 280, 240
Step-by-step explanation:
y = -8x + 296 is a linear equation by which you're plugging the x values of 0,1,2,7 into it to get a y value.
y = 296 when x = 0,
y = 288 when x = 1,
y = 280 when x = 2,
y = 240 when x = 7.
Cheers!
pls help me pls I have to turn in tonight and if u answer this can you draw and send it pls
Answer:
see attached
Step-by-step explanation:
(i) F' shown in red = Rotation 180° about point (2, 1)
(ii) F'' show in blue = Reflection of F' in x-axis
HELP PLS IS OVER DUE AND I WANT TO GET THIS DONE RIGHT NOW!
Answer:
168 hours
Step-by-step explanation:
24 × 7 = 168 hours
So 168 hours in 7 days
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Evaluate the expression 3^-2
Answer:
-9 is the answer for 3^-2
What is the length of LM?
Answer:
Step-by-step explanation:
The length of LM is 24√(3)
the short leg is 24
the hypotenuse is 24*2 = 48
Karissa rides her bicycle for 4 hours and is 22 miles from her house. After riding for 8 hours, she is
42 miles away
What is Karissa's average rate during her trip?
__ miles per hour
Answer:
5.5
Step-by-step explanation:
We nned to divide to solve this!!
22/4 = 5.5
She is going 5.5 mph!!
Have an amazing day!!
Please rate and mark brainliest!!!!
Help with the equation of a line
Answer:
y = -3x + 5
Step-by-step explanation:
y = mx + c
gradient = -3 = m
y-intercept = 5 = c
Rounding please help! Math
it is just still 5 I believe :P hope this helps
I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!
4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.
5. Create a graph of the polynomial function you created in Question 4
Answer:
4. equation: f(x)=(x-2)(x-1)
direction: parabola faces up bc a is positive
y-intercept: (0,2)
zeros/x-intercepts: (1,0) & (2,0)
5. graph is attached (i used desmos)
Briefly describe a predatory/prey boom bust graph.
Answer:
This can lead to cyclical patterns of predator and prey abundance, where prey increase in number and then, with abundant food, predator number increases ...
Step-by-step explanation: