Hence, the measure of angle 3 is 108 degrees.
Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
Find the value of each trigonometric ratio.
1)
The value of the identity tan X = 3/4
How to determine the trigonometric ratioTo determine the trigonometric ratio, we need to take note of the following trigonometric identities
These identities are;
tangentsecantcosecantcotangentsinecosineWe have that the ratios of these identities are;
sinθ = opposite/hypotenuse
cos θ = opposite/hypotenuse
tan θ = opposite/adjacent
Using the tangent identity, we have from the information given that;
tan X = 27/36
Divide to simpler terms
tan X = 3/4
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Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).(5,−2) and (7,7)
Step 1
Given;
\(\text{The points (3,8) and (6,4)}\)Required;
\(\begin{gathered} To\text{ use the points and} \\ 1)\text{ form a right-angled triangle} \\ 2)Find\text{ the distance betwe}en\text{ the points } \end{gathered}\)Step 2
Draw the triangle
Step 3
Find the distance between the two points
\(\begin{gathered} D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ D=\sqrt[]{(7-5)^2+(7-(-2))^2} \\ D=\sqrt[]{4+81} \\ D=\sqrt[]{85} \\ D\approx9.2\text{ units to the nearest tenth} \end{gathered}\)Hence the distance between the two points to the nearest tenth is approximately 9.2 units.
Think About the Process If you solve the linear system by adding to eliminate p, which step could you do first? Solve for p and q.
2p +39 = 7
3p + 59 = 10
Which step could you do first?
O A. Multiply the first equation by - 3 and the second equation by - 2.
O B. Multiply the first equation by 3 and the second equation by 2.
O c. Multiply the first equation by - 3 and the second equation by 2.
OD. Multiply the first equation by - 2 and the second equation by 3.
The solution is
(Type an ordered pair.)
Answer:
(23, -1)
Step-by-step explanation:
I think you meant 2p + 39q = 7 , & 3p + 59q = 10
You would do C first, because that will get rid of the P's.
---> -6p - 117q = -21
---> 6P + 118q = 20
Now we get q=-1
If we plug it into the first equation, we get 2p + 39(-1) = 7
Therefpre, 2p - 39 = 7. This means that 2p = 46.
Therefore, p = 23
(23, -1)
What are the zeros of the function
Answer: i think c
Step-by-step explanation:
Help pls and explain how you got your answer pls!!!
ill give brainless if you get right
Answer:
16%
Step-by-step explanation:
What is the 35th number in the sequence 4, 7, 12, 19, 28,…?
Answer:
n²+3. is the nth term
Step-by-step explanation:
What amount of a 80% acid solution must be mixed with a 55% solution to produce 600 mL of a 60% solution?
Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.
The equation can be set up as follows:
0.80x + 0.55(600 - x) = 0.60(600)
Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.
By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.
Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.
Let x=amount of 80% solution needed
Then 600-x=amount of 30% solution needed
Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:
0.80x+0.30(600-x)=0.40*600 get rid of parens
0.80x+180-0.30x=240 subtract 180 from each side
0.80x+180-180-0.30x=240-180 collect like terms
0.50x=60 divide each side by 0.50
x=120 ml---------------------amount of 80% solution needed
600-x=600-120=480 ml---------------amount of 30% solution needed
CK
120*0.80+480*0.30=0.40*600
96+144=240
240=240
What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?
Answer:
V =704 m^3
Step-by-step explanation:
Remark
The Volume of a cubical Prism = Length * Width * Height of L * w * h
Givens
L = 22 meters
w = 4 meters
h = 8 meters
Solution
V = L * w * h
V = 22 * 4 * 8
V = 704 m^3
What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?
Explanation -:In this question we are provided with the length, breadth and height of a rectangular prism. We are asked to calculate the volume of the rectangular prism.
We know,
\( \star \: \small\boxed{ \rm{ Volume_{(rectangular \: prism)} = L×B×H}}\)
Where,
L stand for LengthB stand for BreadthH stand for HeightSubstituting the values we get
\( \small\sf{ Volume_{(rectangular \: prism)} = 22×4×8 = 704 m³}\)
Hence, the volume of the rectangular prism is 704 m³.
A skateboarder rides by my office every 12 minutes, and a cyclist rides by every 8 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
Answer:
48 minutes
Step-by-step explanation:
Use the graph to write a linear function that relates y to
X.
Linear function that relates y to x.
y = x
coordinates of y = x
\(| \ \ x \ | -2 \ | \ -1 | \ \ 0 \ | \ \ 1 \ | \ \ 2 \ | \ \ 3 \ \ \ | \\ --------------\\ | \ \ y \ \ | -2 \ | \ -1 | \ \ 0 \ | \ \ 1 \ | \ \ 2 \ | \ \ 3 \ \ |\)
---------------------------------------------------------------------------------------------------------
A linear function is a straight line following equation: y = mx + b
where m is slope, b is y-intercept
⚘ Refer to the attachment for graph and below for some details!~
Details ⤵️x-intercept = 0y-intercept = 0slope = 1Domain = x∈RIt is a linear function. Since, the line is straight when it's plotted and the linear function is (y=x)
Some X and Y coordinates are:
\(\begin{gathered}\boxed{\begin{array}{c|c}\boxed{\sf x} &\boxed{\sf y} \\ \sf -2 &\sf -2 \\ \sf -1 &\sf -1\\ \sf 0 &\sf 0 \\ \sf 1 &\sf 1\\ \sf 2 &\sf 2 \end{array}}\end{gathered}\)
Eloise's math tutor used algebra tiles to model 3n + 4 - n + 5. What is the simplified form of this expression?
Answer:
2n + 9
Step-by-step explanation:
3n - n + 4 + 5 = 2n + 9
The solution to X +9-3 is less than or equal to 14
Answer:
\(x∈( - ∞;8]\)
Step-by-step explanation:
\(x + 9 - 3 \leqslant 14\)
Collect like-terms:
\(x \leqslant 14 - 9 + 3\)
\(x \leqslant 8\)
\(x∈( - ∞;8]\)
The counting number just before C5F sixteen is
the counting number just before C5F16 is 3,072.
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
You deposit $2,000 in an account earning 3% interest compounded monthly.
a. How much will you have in the account in 20 years?
b. How much interest will you earn?
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases}\)
\(A = 2000\left(1+\frac{0.03}{12}\right)^{12\cdot 20}\implies A=2000(1.0025)^{240} \implies \boxed{A \approx 3641.51} \\\\\\ 3641.51~~ - ~~2000~~ \approx~~ \stackrel{earned~interest}{\boxed{1641.51}}\)
Please answer this correctly without making mistakes
Answer:
3 lb 7 oz
Step-by-step explanation:
Simply substract 6 lb & 3 lb , then substract 13 oz with 6 oz ..... AND YOU ARE DONE
!!! UwU gang !!!
*3ill MoB*
Write 15/2 as a mixed number.
Give your answer in its simplest form.
Answer:
\(7 \frac{1}{2}\)
hope this helps :))
is 3 divisible by 811
ans = 0.00369913687
hope it helps...!!!!
A hot dog bun (volume 240cm3) with a density of 0.15g/cm3 is crushed in a picnic cooler into a volume of 195cm3. What is the density of the bun?
Answer:
weight of hot dog bun = 240 cm^3 x 0.15 g/cm^3 = 36 gram
36 gm / 195 cm^3 = 0.185 g/cm^3
Step-by-step explanation:
Density is mass/volume. The mass of the bun never changes, only its volume. Solve for the original mass.
Now think about it logically. Should the bun be more sense now that it has been crushed? Of course! The math proves it.
Therefore the answer is: 0.185 g/cm^3
saleem put 120 feet of fence around a rectangular garden. The length of the garden is twice its width. what is the width of the garden?
Answer:
40
Step-by-step explanation:
the width is 2x and the length is x.
2x+2x+x+x=120
6x=120
x=\(\frac{120#\\}{6}\)
x=20
2*20= width
width is 40 feet.
Use Newton’s Method to find the solution to the equation
-x^2+18=0 use x_1=3 and find x_4 accurate to six decimal places.
\(f(x) = - x {}^{2} + 18 \\ f'(x) = - 2x\)
\(x_{n + 1} = x_{n} - \frac{f(x_{n})}{f'(x_{n})} \)
\(x_{2} = 3 - \frac{f(3)}{f'(3)} = 4.5\)
\(x _{3}= 4.5 - \frac{f(4.5)}{f'(4.5)} = 4.25\)
\(x_{4} = 4.25 - \frac{f(4.25)}{f'(4.25)} ≈4.242647\)
\(x_{5} = 4.242647 - \frac{f(4.242647)}{f'(4.242647)} ≈4.242640 \\ \)
Mrs. Williams assigned her class a project to find the height of a flagpole. The students could not measure the height, so they used a mirror to determine the height of the flagpole. Jerrica placed a mirror on the ground 20 feet from the base of the flagpole and backed up until the top of the pole was centered in the mirror. Jerrica is 5.6 feet tall and is standing 7.4 feet from the mirror.
What is the height of the flagpole?
With the help of similar triangles the height of Flagpole is 15.13 feet
what is similar triangle?
Triangles that are similar in shape but differ in size are known as similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. To put it another way, if two triangles are comparable, then their corresponding angles and sides are congruent and equal in size.
solution:
let C is the point of reflection in triangle ABC and EDC
∠ ABC = ∠ EDC ( 90 Degree)
∠ ACD = ∠ ECD ( Reflective angle )
By symmetry,
AB/ED = BC/CD
5.6/ x = 7.4 / 20
x = 15.13 feet
Hence the height of flagpole is 15.13 feet
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What is the angle Between two parallel lines? Hmm?ಠ_ಠ
Answer:
the angle between parallel lines is undefined, or it can be either 0 or 180 degrees, or any multiple of 180 degrees.
Answer:
the angle between two parallel lines are supplementary (180 degrees) if intersected by a transversal..
please help me as fast as you can!!!!!!
Answer:
X=20
Step-by-step explanation:
khan academy :))
what are all of the multiples of 69,420??
Answer: 69 and 420
Step-by-step explanation:
What is the image point of (8,9) after a translation right 3 units and up 4 units?
Answer:
(12,12)
Step-by-step explanation:
Let me know if it's wrong peas and carrots.
Suppose a certain city has 50 licensed restaurants, of which 15 currently have at least one serious health code violation and the other 35 have no serious violations. There are five inspectors, each of whom will inspect one restaurant during the coming week. The name of each restaurant is written on a different slip of paper, and after the slips ate thoroughly mixed, each inspector in turn draws one of the slips without replacement. Label the jth trial as a success if the ith restaurant selected has no serious violations. A certain state has 500,000 licensed drivers, of whom 400,000 are insured. A sample of 10 drivers chosen without replacement. The ith trial is labeled if the ith driver chosen is insured. Although this situation would seem identical to the example above, the important difference is that the size of the population being sampled is very large relative to the sample size. In this case
P(S on 2 S on 1) = 399, 999/499, 999 = _________
(rounded to five decimal places.)
and
P(S on 10 S on first 9) = 399, 991/499, 991 = ___________
(rounded to six decimal places) = 0.80000
These calculations suggest that although the trials are not exactly independent, the conditional probabilities differ so slightly from one another that for practical purposes the trials can be regarded as with constant P(s) =_______ (rounded to one decimal place). Thus, to a very good approximation, the experiment is with n = 10 and p = 0.8.
Answer:
P(S on 2 S on 1) = 0.80000
P(S on 10 S on first 9) = 0.799996
P(S) = 0.8
Step-by-step explanation:
Given :
P(S on 2 S on 1)
= 399, 999/499, 999
= 0.80000
P(S on 10 S on first 9)
= 399, 991/499, 991
= 0.799996
P(S) = 0.8
Need help 20 points