Answer:
Step-by-step explanation:
If we assume that the angle at A is 90 degrees.. which it does seem like it would be. then use that the sum of the angles around the inside of a right triagle is 180 . so you have
180 = 37 + 90 + x
53° = x
does that help?
Given the formula l = prt, where l = interest earned, P is the principal invested and r is the interest rate. If $245 is the principle invested at an interest rate of 3%, and Paul earned 69.80 interest, how long, t, (in years) was the money invested for?
Answer:
t= 9.49 years which can be estimated to 9 years
Step-by-step explanation:
Given the formula l = prt,
Where P is the principal=$245
r is the interest rate.=3%,
l = interest earned=$69.80
l = prt
Therefore time, t= I/ pr
t= 69.80/ 245 x 3%
t=69.80/ 245 x 0.03
t= 9.49 years which can be estimated to 9 years
HELP ME PLEASE FOR THE SAKE OF GOD :)
Let y=f(x) be the particular solution to the differential equation dy/dx=2x−1/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x)?
A. √(x^2−x+9)
B. −3/3x^2−3x−1
C. (3x^2−3x)^1/3+3
D. (3x^2−3x+27)^1/3
Answer:
D. (3x^2-3x+27)^1/3
Step-by-step explanation:
dy/dx=2x−1/y^2
Cross multiply to get Y's and X's on different sides.
(y^2)dy = (2x-1)dx
Take the integral of each side
∫(y^2)dy = ∫(2x-1)dx
y^3/3 = 2x^2/2 - x + C
Multiply both sides by 3
y^3 = 3x^2 - 3x + C
Plug in (0,3) and solve for C
27 = 0 - 0 + C
C = 27
Plug in C to the equation
y^3 = 3x^2-3x+27
Cube root both sides to get just y
y = √(3x^2-3x+27)
y = (3x^2-3x+27)^1/3
D.
The particular solution of the equation will be "[tex](3x^2-3x+27)^\frac{1}{3}[/tex]".
Differential equationAccording to the question,
→ [tex]\frac{dy}{dx}[/tex] = [tex]\frac{2x-1}{y^2}[/tex]
By applying cross-multiplication,
(y²)dy = (2x - 1)dx
By integrating both sides, we get
→ ∫(y²) dy = ∫(2x - 1) dx
[tex]\frac{y^3}{3}[/tex] = [tex]\frac{2x^2}{2}[/tex] - x + C
By multiplying "3" both sides, we get
y³ = 3x² - 3x + c
By substituting "(0,3)" in above equation,
27 = 0 - 0 + C
C = 27
By substituting value of C in the above equation,
y³ = 3x² - 3x + 27
By cubing both sides,
y = √(3x²-3x+27)
= [tex](3x^2-3x+27)^\frac{1}{3}[/tex]
Thus the above answer i.e., "Option D" is correct.
Find out more information about differentiation here:
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Write an equation for each graph in a slope
Intercept form
Answer:
y=2x-3
Step-by-step explanation:
Y-intercept can be read off the graph.
Slope can be determined using the formula:
y2-y1 divided by x2-x1 (Substitute co-ordinates)
Answer:
y=2x-3
Step-by-step explanation:
y=mx+b
Where m is the slope and b is the y intercept
Slope is rise over run, the line is up 2 over 1
And the point of the line where it meets the y axis is -3. so b is -3
simplify 74.34 - 2.1 × (6.05 - 4.05)³
A store is offering a 20% discount on all items. Write an equation for the relationship between the discount price of an item, d , and it's original price, p.
Answer:
80%p=d
Step-by-step explanation:
20% discount is 80% of original.
An equation for the relationship between the discount price of an item, d, and it's original price, p is p = 0.8d.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A store is offering a 20% discount on all items.
Let the discount price of an item, d, and it's original price, p.
The original price = (100 - 20%)discount price
p = 80%d
p = 0.8d
Therefore, p = 0.8d is the required equation.
To learn more about the percentage;
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B. ( -3, 4) , ( 3, 4 ) , ( 1, -4 ) , ( -2, -4 )
D. ( -4, 1) , ( 1, 2 ) , ( -1, -4 ) , ( -3, -4 )
C. ( -2, 3) , ( -4, 3 ) , ( -1, 2 ) , ( -4, -2 )
A. ( -3, 4) , ( -4, 3 ) , ( -4, 1 ) , ( -2, -4 )
Answer:
B
Step-by-step explanation:
There isn't really much explaining I can do but each time you find the co-ordinate of a point you can cancel out a possibility.
For example, one of the points is (-3,4) and the only one without this point is C so that answer is cancelled out, and you keep going this way until you are left with only on possible answer and that should be B.
Top left = (-3,4)
Bottom left = (-2, -4)
Top right = (3,4)
Bottom right = (1,-4)
Eric is designing a logo for a company. The logo consists of two identical parallelograms joined at their longest sides. One of the parallelograms has a length of 2.5 centimeters and a height of 1.25 centimeters. What is the area of the logo?
Answer:
[tex]A=3.125\ cm^2[/tex]
Step-by-step explanation:
Given that,
The base of the parallelogram, b = 2.5 cm
Height of the parallelogram, h = 1.25 cm
We need to find the area of the logo. The formula for the area of the parallelogram is given by :
[tex]A=b\times h\\\\A=2.5\times 1.25\\A=3.125\ cm^2[/tex]
So, the area of the logo is [tex]3.125\ cm^2[/tex].
What is the answer to thisss ?????
A sundial that measures 38 inches across its center is shown on the concrete slab. In terms of π, what area of the slab is covered by the sundial?
Answer:
that answer is incorrect for usatestprep it is B for usatestprep
Step-by-step explanation:
Area covered by sundial is 4,534.16 inch²
Area of circle;Given that;
Length of radius = 38 inches
Find:
Area covered by sundial
Computation:
Area covered by sundial = πr²
Area covered by sundial = (3.14)(38)²
Area covered by sundial = (3.14)(1,444)
Area covered by sundial = 4,534.16 inch²
Find out more information about 'Area of circle'.
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what is 5+37+1=?
I could use some help I have been stuck on this one all day is anyone good at math and wants to help me?
43 is the answer
Hoped I help :)
Answer:
the answer to the equation 5+37+1 = ? is 43
Step-by-step explanation:
37+5= 42
42+1= 43
What is the slope of the line represented by the equation y = x - 3?
Answer: A (-3) is correct
Explanation: Edge:2023
Jana wrote the expression 5n+3 as part of a problem she was solving. She wanted Sally to read it back to her verbally so she could check her work. Which verbal description best represents the expression 5n+3 (PLEASE ANSWER AS QUICK AS POSSIBLE!!)
Answer:
Step-by-step explanation:
Step-by-step explanation:
three more than five times some number n
I need to solve for x this is really easy I just don't have the time to do it please help.
Answer:
2x+76°=180°[by co interior angle]
2x=180°-76°
2x=104°
x=104°/2
x=52
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab.
What is \text{P(salamander})P(salamander)start text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Answer:
1/4
Step-by-step explanation:
Given
amount of salamanders, = 5
amount of crayfish = 3
amount of minnows = 12
Total fish = Total outcome = 5+3+12
Total outcome = 20
Since we are looking for the probability of selecting salamanders, our expected outcome will be 5.
Probability = expected outcome/total outcome
Pr( salamanders,) = 5/20
Pr( salamanders) = 1/4
Hence the probability of selecting salamanders, is 1/4
Hope this helps and best of luck!!
Answer:
0.25
Step-by-step explanation:
I took the test on khan.
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Answer: The correct answer is A
Step-by-step explanation:
At 1, there is a start of $45
Then for 2 it adds $25
Then 3 adds $25 dollars.
Because 1 started at $45, that means it is a rate of 25 dollars per hour, but a starting cost of 20+25= $45.
Hope this helped!
$70 shoes, with 6% sales tax
Answer: $4.20
Step-by-step explanation:
Answer:
Shoes would cost $74.2 with tax
Step-by-step explanation:
70 * 0.06 = 4.2
70+ 4.2 = 74.2
The shape on the left is translated to the shape on the right.
Shape M N O P Q R S is translated 6 units to the right.
Which statement about the transformation is true?
The name of the shape on the right is M N O P Q R S prime because it is the image of the shape on the left.
The name of the shape on the right is M N O P Q R S prime because it is the pre-image of the shape on the left.
The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the pre-image of the shape on the left.
The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left.
Answer:
D.) The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left.
Step-by-step explanation:
So the first thing we have to do is look at the information given, we know that the shape on the left is translated into the shape on the right. When a shape is "translated" it simply means that the shape doesn't change in size or rotation it only glides or moves. So the shape on the right is the former shape and the shape on the left is the pre-image.
Knowing that the left shape is the pre-image goes ahead and eliminates answer choices B & C as both answers mention that the right side is the image before the transformation which because of what was previously mentioned, is incorrect.
This leaves only answer choices A and D. Finally we can narrow down the final answer by knowing that the apostrophe " ' " or prime should be placed after each letter not just at the end of letters. For example A'B'C'D' not ABCD'. If we apply this rule to the last to answer choices we can see that D is the correct answer.
Answer:
It’s d edge 2022
Step-by-step explanation:
How many times does 20 go to 140
Answer:
7
Step-by-step explanation:
20 x 7 = 140
10
10
Identify the equation of the graph shown.
y = 2x - 3
B)
y = 2x + 6
C)
y = 0.5x + 6
D)
y = 0.5x - 3
Answer:
The answer is C hopefully this helps
Step-by-step explanation:
4. What effect does doubling the radius of a cylinder have on the area of the base of the cylinder?
a. The area of the base is doubled.
b. The area of the base is quadrupled.
C. The area of the base is halved.
d. The area of the base is multiplied by one-fourth.
Step-by-step explanation: I hope this helped?
Select all of the true equations.
sin(27)=x/15
cos(63)=y/15
tan(27)=y/x
sin(63)=x/15
tan(63)=y/x
Answer:
cos(63)=y/15
tan(27)=y/x
sin(63)=x/15
Step-by-step explanation:
You need to memorize the definitions of all the trig functions. Then these types of problems will be easy for you. OK?
Please I need help on two problems 15 points anyone? Hellpppp I’m desperate
Answer:
to se es la cesa lopa nesma
The Red Cross is distributing water to
disaster victims. They have 500 gallons of
water and they give 2 gallons to each
person in need. Write an equation
describing the amount of water, w, the Red
Cross has left and the number of people, p,
they have helped
Write the equation, then state how many victims could receive water until the red cross has only half of the original water that they started with left ?
Please help me asap it’s due in 30 minutes!
Step-by-step explanation:
500=2x
x= 250....ppl can get water
250==2x
125....ppl can get water now
A sequence is given by the rule 4n – 5
Will the number 25 be a term in the sequence?
Explain why or why not.
convert the fraction into a decimal
12/25
Answer:
it would be 0.48
Step-by-step explanation:
yeah you divide
[tex]{ \large{ \sf{ \dfrac{12}{25} = 0.48 }}}[/tex]
this is number 19....
Answer:
b
Step-by-step explanation:
Hamburgers are sold in packages of 20, while buns are sold in packages of 12. What are the least numbers of packages you should buy in order to have the same number of hamburgers and buns?
Answer:
3 packages of hamburger and 5 packages of bun.
Step-by-step explanation:
3x20=60
5x12=60
we're you able to plot the given numbers?
Step-by-step explanation:
calculate the x-intercept by making y=o and substitute the values of x into the equation to get y-values
HELP!!!
A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?
Answer: 3/4 cup
Step-by-step explanation: yeah