Answer:
$20
Step-by-step explanation:
2=10
4=20
Find the Domain and Range
Answer:
See explanation below
Step-by-step explanation:
Domain = [tex]-7\leq x\leq infinity[/tex]
Range = [tex]-1<y<infinity[/tex]
Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.
Eli has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $356.89.
He buys 2 bicycle reflectors for $16.70 each and a pair of bike gloves for $27.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $74.08 each.
Write and solve an inequality which can be used to determine o, the number of outfits Eli can purchase while staying within his budget.
(write the equation that you used to solve this )
Answer:
Step-by-step explanation:
First of all we have to discover how much he spent.
356.89 + 2(16.70) + 27.47 = $417.76
Now we have to find how much money he saved
640 - 417.76 = $222.24
the total cost of biking outfits must be eqaua or less than $222.24..
We know the price of a single outift so we can write this inequality:
74.08o ≤ 222.24
we can find o by dividing the two members of the inequality:
o ≤ 222.24/74.08 = 3
o≤ 3
this mean that he can buy 1, 2 or 3 outfits
I need to find the measure of
Answer:
so it would be 5+20
Step-by-step explanation:
Find each trig ratio.
Answer:
a) 12/13
b) 5/13
Step-by-step explanation:
sin k = 12/13
cos k = 5/13
In DEF, sin D = 24/26 What is cos E?
A. 24 26
B. 10 24
C. 10 26
D. 26 10
Answer:
your answer will be option A. 24/26
Step-by-step explanation:
hope it helps....
In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
What are trigonometric ratios ?Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.
We have,
[tex]\triangle[/tex] DEF,
[tex]SinD = \frac{24}{26}[/tex]
We know that,
[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex] and [tex]CosE=\frac{EF}{ED}[/tex]
Using Pythagoras Theorem,
[tex]P^{2} +B^{2} =H^{2}[/tex]
i.e.
[tex]EF^2+FD^2=EF^2[/tex]
[tex]24^{2} +FD^2=26^2[/tex]
[tex]FD^2=676-576[/tex]
[tex]FD=10[/tex]
But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,
[tex]CosE=\frac{EF}{ED}[/tex]
so,
[tex]CosE=\frac{24}{26}[/tex]
So, the value of [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.
Hence, we can say that In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
To know more about Trigonometric ratios click here
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#The extremities of the diagonal of a square are (1,1 )and (-2, -1).Obtain the two other vertices and the equation of a next diagonal.
#
find the area of the triangle with vertices(1,2),(2,3),and(4,5).what inference can you draw about the points from your upshot?
Answer:
(i) (-3/2, 3/2) and (1/2, - 3/2)
6x + 4y = - 3
(ii) Points are col linear
Step-by-step explanation:
Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).
Using mid point formula,
Mid point of diagonal(using the given points) is:
= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)
Using (a, b) and (x, y) :
= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)
Which means, a+x= -1 & b + y = 0
Therefore, x = - 1 - a & b = - y
Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13
Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)
Again using distance formula, diagonal = √13
=> √(x - a)² + (y - b)² = √13
=> (-1-a -a)² + (-b - b)² = 13
=> a² + b² + a = 3 ... (1) [solved directly]
Length of side = √(13/2)
=> √(a-(-2))² + (b-(-1))² = √(13/2)
=> a² + b² + 4a + 2b = 3/2 ...(2)
On solving (1) and (2):
a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2
b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2
Therefore,
x = - 1 - a = -1 - 1/2 = -3/2
y = - b = - (-3/2) = 3/2
Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)
Equation is just a relation in y and x, for a relation:
Subtract (1) from (2):
3a + 2b = -3/2 => 6a + 4b = - 3
By merely replacing a, b by x, y
6x + 4y = -3 is the required equation
(ii):
Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |
Ar. of ∆ = ½ | -2 + 6 - 4 | = 0
As the area of the ∆ is 0, the given points don't form ∆, they are col linear.
h(1)=-6 h(2)= 20 h(n)= h(n-2)+h(n-1) What is the value of h(3)?
9514 1404 393
Answer:
14
Step-by-step explanation:
Use the formula with n=3.
h(3) = h(3-2) +h(3-1)
h(3) = h(1) +h(2)
h(3) = -6 +20 . . . . . substitute the given values
h(3) = 14
In science class, students are learning about organic compounds. An acetic acid
molecule is made of 2 carbon atoms, 2 oxygen atoms, and 4 hydrogen atoms.
What is the ratio of carbon atoms to all atoms in 2 molecules of acetic acid?
A 4:12
B 4:16
C 12:4
D 16:4
Each day last week, Ms. Wilson walked 3/4 mile. What is the total distance, in miles, that Ms. Wilson walked in four days.
Answer:
3
Step-by-step explanation:
If I’m wrong sorry
But can I get brainlist
The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. Identify the population and parameter of interest.
Answer: Population = Total students attend the school.
Parameter = Proportion of students named by president correctly.
Step-by-step explanation:
Population for a particular study is the largest possible group of individuals that are essential to be considered.
Parameter = measure of characteristic in a population.
By the above definition, we have
Population = Total students attend the school(1800).
Parameter = Proportion of students named by president correctly.
Please Help!!
Jacqui has 162 trading cards. She buys 25 more trading cards. Then, she puts her trading cards into a binder. Each page of the binder holds 9 cards.
After filling as many pages as she can, Jacqul gives the rest of the trading cards to her brother.
How many trading cards does Jacqui give to her brother?
Enter the answer in the box.
trading cards
Are you given how many pages are in the binder?
30. find the value of x
(7x + 10) (11x - 6)
Find the range, median, and mode of this stem and leaf plot. Please help I have no idea how to do this
Evaluate(8−3i)(3+2i)
Answer:
The answer is 30+7i.
Step-by-step explanation:
Imaginary Number Definition
[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]
Simply evaluate like how you evaluate polynomials. Expand the expression in.
[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]
Therefore, our new expression when cancelling out the brackets is:
[tex]\large\boxed{24+16i-9i-6i^2}[/tex]
Imaginary Number Definition II
[tex]\large\boxed{i^2=-1}[/tex]
Therefore, substitute or change i² to -1
[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]
Complex Number Definition
[tex]\large\boxed{a+bi}[/tex]
Where a = Real Part and bi = Imaginary Part.
Therefore, it's the best to arrange in the form of a+bi.
Hence, the answer is 30+7i.
2(20 - 3x) = x
[tex]ax {}^{2} + bx + c = 0[/tex]
Answer:
Step-by-step explanation:
My sister needs help with this problem
Can you post step by step
Thank you!
Answer:
D.
Step-by-step explanation:
When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.
Pls help with this ASAP :)
Answer:
No Solution
Step-by-step explanation:
-8x - 2(7+2x) = -6(2x+5)
-12x - 14 = -12x - 30
-14 = -30, False
No Solution
What is the value of x, and what is the missing angle?
NO LINKS, THEY WILL BE REMOVED
Answer:
x = 14
Missing angles: 33° and 57°
Step-by-step explanation:
(2x + 5) + (3x + 15) = 90° (complementary angles)
Add like terms
5x + 20 = 90
5x = 90 - 20
5x = 70
x = 70/5
x = 14
✔️Plug in the value of x to find each missing angle:
2x + 5 = 2(14) + 5 = 33°
3x + 15 = 3(14) + 15 = 57°
Which situation is a result of focal policy
O A A Corporationis fines for violating regulations.
3. A school gets more money to buy computers,
O C. A bank offers a loan to a small business.
D. A consume hes limites options for food at a store
Given the angles in the diagram below, what is mZ2?
Answer:
98
Step-by-step explanation:
Hello There!
The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.
This meaning that the sum of the two angles is 180
So to find the missing angle (2) we subtract the given angle (82 in this case) from 180
so ∠2 = 180 - 82
180 - 82 = 98
Hence, the answer is 98°
Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:
6 white books
9 purple books
7 green books
Each time, Warren takes out a book at random. He will replace the book and take out another book from the container. What is the probability that Warren takes out a green book in both draws? (3 points)
a
7 over 22 multiplied by 7 over 22 equal 49 over 484
b
7 over 22 multiplied by 6 over 21 equal 42 over 462
c
7 over 22 plus 6 over 21 equal 279 over 462
d
7 over 22 plus 7 over 22 equal 308 over 484
Given:
Total number of book = 22
Number of white books = 6
Number of Purple books = 9
Number of green books = 7
To find:
The probability that Warren takes out a green book in both draws (with replacement).
Solution:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(\text{White})=\dfrac{6}{22}[/tex]
[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]
[tex]P(\text{green})=\dfrac{7}{22}[/tex]
After replacement, the probability of event remains the same and the independent.
The probability that Warren takes out a green book in both draws is:
[tex]P=P(\text{green})\times P(\text{green})[/tex]
[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]
[tex]P=\dfrac{49}{484}[/tex]
Therefore, the correct option is (a).
write an exponential formula of the form f (t)=a×b^t to represent the following situation. assume t is in years. an investment of $11,500 triples every 14 years. round your values to the three decimal places. f(t)=________
Answer
[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]
Explanation
Given
[tex]a = 11500[/tex] -- initial
[tex]b = 3[/tex] ---- every 14 years
Required
The exponential equation
The exponential equation is:
[tex]y =ab^T[/tex]
First, calculate the yearly rate.
Triples every 14 years, implies that:
[tex]b = 3[/tex] -- the rate
[tex]T=\frac{t}{14}[/tex] ---- time
So:
[tex]y =ab^t[/tex]
[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]
Hence:
[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]
A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications. Construct a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. what is the upper confidence limit for p
Answer:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.
This means that [tex]\pi = 0.89, n = 60[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564[/tex]
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Answer:
Answer:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.
This means that
90% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564
Step-by-step explanation:
Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since Spring started.
Write a linear equation in slope-intercept form that can be used to approximate the data distribution using the two data points labeled on the best fit line.
Answer:
y=1x-b is thou answer
Answer:
um yeah i have that question but it isnt right?
Step-by-step explanation:
I dont know why it didnt work :(
What is the surface area of the container?
A.
1,228 sq cm
B.
1,636 sq cm
C.
219 sq cm
D.
818 sq cm
Answer:
the correct answer is B
Step-by-step explanation:
got it right!!!!
If you are just building your payment history, how many points from a perfect score will you possibly miss?
A. 297.5
B. 85
C. 255
D. 127.5
Answer: 297.5
Step-by-step explanation:
Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5
Please help with this I don’t know how to work with slopes
Answer:
1/2x
Step-by-step explanation:
Slope is
Rise over run In a fraction the rise is the numerator and the run is the denominator
From getting one point to another
You rise 1 and run 2
Which is the equivalent of 1/2
Answer:
Step-by-step explanation:
(-1, -4) (1, -3)
(-3 + 4)/(1 + 1) = 1/2
HELP Easy math easy points look at the photo
Answer:
x = 60
Step-by-step explanation:
33 + 87 + 60 = 180
:))
Answer:
x = 60
Step-by-step explanation:
I need a bit of help on this one.
Jason has two bags with 6 tiles each. The tiles in each bag are shown below:
There are 6 squares labeled with number's going from 1 to 6 from left to right
Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 5 from the first bag and an odd tile from the second bag?
3/6
4/6
3/36
4/36
Answer:
4/36
Step-by-step explanation:
6x6=36/denominator
for second bag we need the highest Expectancies in a questionlike this so it would be 4 but for denominator we dont need highest expectancies we need a correct answer
The Roman Numeral MCM means
Answer:
See explanation below
Step-by-step explanation:
The Roman Numeral MCM means 1900.
The first M is 1000, CM means 900 ==> 1000 + 900 = 1900