Answer:
(x - 4)² + (y + 1)² = 25
Step-by-step explanation:
Circle Formula: (x - h)² + (y - k)² = r²
We are given r, and (h, k), so simply plug them into the formula to get your answer.
5c/f=1/r, solve for r, c and f.
Answer:
c = 1, f = 5, and r = 1
Step-by-step explanation:
5(1)/(5) = 1/(1)
5/5 = 1/1
1 = 1
Step-by-step explanation:
5c = 1
f r
solving for r
5rc = f
r = f
5c
solving for c
if r = f
5c
5rc = f
c = f
5r
solving for f
f = 5cr
y = 16-x^2
Find the value of k
Answer:
k = - 4
Step-by-step explanation:
Given
y = 16 - x²
The point (k, 0 ) is a zero. To find the zero let y = 0, that is
16 - x² = 0 ( add x² to both sides )
16 = x² ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
The zeros are x = - 4 and x = 4
Since (k, 0 ) is to the left of the origin, then k = - 4
Which of the following is an identity?
A: secBcotB = cosB
B: secBcotB = cscB
C: secBcotB = sinB
D: secBcotB = cscBtanB
Answer:
The answer is option B
Step-by-step explanation:
secB = 1/cosB
cotB = cosB / sinB
secBcotB is
[tex] \frac{1}{ \cos(B) } \times \frac{ \cos(B) }{ \sin(B) } \\ \\ = \frac{1}{ \sin(B) } \\ \\ But \: \frac{1}{ \sin(B) } = \csc(B) \\ \\ \\ = \csc(B) [/tex]
Hence the identity
Hope this helps you
Write 90 cm as a fraction of 2.4 m. Give your answer in its simplest form.
Answer:
[tex]\frac{3}{80}[/tex]
Step-by-step explanation:
90 cm in metres is = 0.09 m
Writing it as a fraction of 2.4 m
=> [tex]\frac{0.09 m}{2.4 m}[/tex]
In simplest form
=> [tex]\frac{3}{80}[/tex]
What is the slip of the line shown below?
Answer:
Assuming you mean slope, the answer would be ...
2
The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.
When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.
Therefore, your answer is 2
Hope this helps!
Answer: 2
Step-by-step explanation:
The slope would be 2 :)
Given the equation y=2x-8, which statement is correct ? A.Y=2(x-4) has a y-intercept of 4 B. Y=2(x-4)has a y-intercept of -4 C. Y=2(x-4) has a x- intercept of 4 D. Y=2(x-4)has a x intercept of -4
Answer:
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Step-by-step explanation:
To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:
[tex]y = 2*0 - 8 = -8[/tex]
To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:
[tex]0 = 2*x - 8[/tex]
[tex]2x = 8[/tex]
[tex]x = 4[/tex]
So the y-intercept is -8 and the x-intercept is 4.
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Please answer this question fast in two minutes
Answer:
(3, 0)
Step-by-step explanation:
M = (-3, -4) - mid point
D= (-9, -8)
C=?
--------
Mid point:
x= (x1+x2)/2, y=(y1+y2)/2
-3= (-9 +x1)/2 ⇒ -6= -9 +x1 ⇒ x1= 9-6=3-4= (-8+y1)/2 ⇒ -8= -8 +y1 ⇒ y1= 8-8= 0C= (3, 0)
square root of 524176 by long division
Answer:
724 is the square root of 524176.
Step-by-step explanation:
Square root of 524176 by long division method.
[tex]\sqrt{524176}[/tex] = 7) 52 41 76 (724
7 49
14 2) 341
2 284
144 4) 5776
5776
0
Therefore, square root of 524176 is 724.
convert the fraction to a decimal. 1/5=
Answer:
0.2
Step-by-step explanation:
1/5 or one-fifths is a whole divided into 5 equal parts.
Suppose 100. Divide 100 into 5 equal parts and we get 20.
The whole 1 divided into 5 equal parts is 0.2.
Answer: 0.2
Step-by-step explanation: Decimals represent fractions with denominators of 10, 100, 1,000, and so on.
Therefore, in order to write 1/5 as a decimal, we must first
find a fraction equivalent to 1/5 with a denominator of 10.
So we multiply the numerator and denominator of
1/5 by 2 to get the equivalent fraction 2/10.
Now we have a fraction that can be written as a decimal.
Since the tenths place is 1 place to the right
of the decimal, we can write 2/10 as 0.2.
Bridget drives at a speed of 60 miles per hour. How long will it take to drive 270 miles?
Answer:
4 hours and 30 minutes.
Step-by-step explanation:
270÷60=4.5
Answer:
4 1/2 hours (((:
Step-by-step explanation:
Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11
Step-by-step explanation:
[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions
[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]
no solutions
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Describe his error and write the correct expression. * Part B: How much will Joel pay for his tablet? Show your work on a separate piece of paper and upload the picture.
Answer:
Part A) The correct Expression : (1.05)(190)(0.8)
=> The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B) $159.60
Step-by-step explanation:
Part A:
To calculate the computer cost, we need to find out the selling price first.
There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8
So, We'll multiply the cost price by 0.8
=> (190)(0.8)
But, there is a sales tax of 5%
So, the selling price with cost price will be:
=> 100% + 5% = 105% => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)
So, the expression will be:
=> (1.05)(190)(0.8)
The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B)
Joel will pay for the tablet:
=> (1.05)(190)(0.8) [We used the above expression]
=> $159.60
Wich statement must be true ??
Answer:
D is the correct answer
Justin plans to attend a four-year college. He has estimated the costs per year.
Tuition = $2,900
Other educational expenses = $280
Housing and living expenses = $4,100
Justin’s counselor estimates he will receive $3,500 a year in grants. He also will be eligible for a work-study program that pays $2,800 per year. Justin also plans to save enough money to contribute $500 each year.
Justin’s plan doesn’t cover his costs completely. What are his options for covering the rest of his costs? Select all that apply.
He could try to save more money.
He could get a student loan for the extra amount he needs.
He could apply for a scholarship.
He could ask his friends to loan him money.
He could ask his family to contribute.
Answer:
A, B, C, E
Step-by-step explanation:
I literally just did the question on edge.
Answer:
a,b,c,e
Step-by-step explanation:
In an experiment, a fair coin is tossed 4 times and the number of heads that occurs is recorded.
Eighty trials of the experiment are run.
The table shows the frequency of 0, 1, 2, 3, or 4 heads occurring in the trials.
Number of heads
0
1
2
3
4
Frequency
4
8
36
20
12
Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.
Answer:
Step-by-step explanation:
Hello!
The experiment consist in "a fair coin is tossed 4 times" the recorded variable is X: number of heads obtained after tossing the coin 4 times
The possible values for this variable: X: 0; 1; 2; 3; 4
The frequencies observed for each possible value of X after repeating the experiment for n=80 times
fi: 4; 8; 36; 20; 12
To create the probability distribution you have to calculate the probability for each value of X, by doing the following calculation [tex]p(xi)= \frac{fi}{n}[/tex]
p(X=0)= p(0)= 4/80= 0.05
p(X=1)= p(1)= 8/80= 0.10
p(X=2)= p(2)= 36/80= 0.45
p(X=3)= p(3)= 20/80= 0.25
p(X=4)= p(4)= 12/80= 0.15
For this to be a probability of distribution the following conditions are to be met:
p(xi)≥0∑p(xi)=1All calculated probabilities are at most zero.
∑p(xi)= 0.05+0.10+0.45+0.25+0.15= 1
xi | 0 | 1 | 2 | 3 | 4
fi | 4 | 8 | 36| 20 | 12
p(xi)| 0.05| 0.10| 0.45| 0.25| 0.15
F(Xi)|0.05| 0.15 | 0.60| 0.85| 1
I hope this helps!
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
Answer:
0.59375
Step-by-step explanation:
In a uniform distribution the probability that the time t is greater than any given value, X, is:
[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]
In this problem, the limits of the distribution are a = 0 and b = 8 minutes.
For X =3.25 minutes:
[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Calculation of the probability:Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.
So, here the probability is
[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]
= 0.59375
Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Learn more about probability here: https://brainly.com/question/15241200
PLEASE HELP!!
triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc
Answer:
-7,-6,-3.these are the vertices
Q2.
If ε = {x: x is an integer such that 1<x<20} and A = {8, 9, 10, 11, 12, 13, 14} and
B = {2, 4, 6, 8, 10, 12, 14, 16, 18}.
(i) List down the elements of A’ and B’
(ii) Are sets A - B and B - A equal sets?
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
please please please please answer it it's so much inportant
Answer:
see below
Step-by-step explanation:
A = {8, 9, 10, 11, 12, 13, 14} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18}
----------------
(i) List down the elements of A’ and B’
{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets
----------
(ii) Are sets A - B and B - A equal sets?
A-B= {9, 11, 13}
B-A= {2, 4, 6, 16, 18}
These are not equal as we can see
----------
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets
A∩B= {8, 10, 12, 14} - intersection only includes common elements
What is the value of m in the equation
zm = 16, when n = 8?
Step-by-step explanation:
nm=16
m=16/n
m=16/8
m=2
The owner of a fruit stand gathered data for a week about the number of watermelons, pumpkins, and cantaloupes sold each day. She represented the data in two scatter plots.
Does either scatter plot indicate a positive correlation between the variables?
A.) only plot A
B.) only plot B
C.) both plot A and plot B
D.) neither plot A nor plot B
The reasoning is because all of the points for plot A are fairly close to the same straight line. This straight line has a positive slope. We call this line the regression line.
In contrast, plot B seems to have the points randomly scattered about. We can't draw a good fitting straight line to get near all of the points. So plot B does not show positive linear correlation.
Side note: the correlation coefficient for plot A will have its r value close to 1. The r value for plot B will be close to 0.
The answer is A.) only plot A
A transversal intersects two lines and forms a pair of same side interior angles that measure 36° and 4 times that measure. Prove that the lines are parallel. Please answer now I need it desperately. thx.
Answer:
The addition of the same side interior angles is equal to 180°
Step-by-step explanation:
If the addition of the same side interior angles is equal to 180°, then the lines are parallel. One angle measure 36°, the other angle measures 4*36° = 144°. The addition gives 36° + 144° = 180°.
See picture attached; given that m║n then ∠1 ≅ ∠4 and ∠2 ≅ ∠3. Also, ∠1 + ∠3 = ∠2 + ∠4 = 180°; combining, we get ∠1 + ∠2 = 180°, where ∠1 and ∠2 are same side interior angles. This conclusion was gotten because we knew that m and n were parallel.
If you borrow $900 for 4 years at an
annual interest rate of 5%, how
much will you pay altogether?
Expand and then collect the following expression 5(2b+1)+6(3b+2)
Step-by-step explanation:
10b+5+18b+10
28b+15 is the answer
Answer:
28b+17
Step-by-step explanation:
=> 5(2b+1) + 6(3b+2)
Expanding the brackets
=> 10b+5+18b+12
Combining like terms
=> 10b+18b+5+12
=> 28b+17
*****WHO ANSWERS WILL BE MARK AS BRAINLIEST*******
A rectangle has a width of 7 units and a length of 24 units. What is the length of a diagonal? *
41
25
20
15
Answer:
25
Step-by-step explanation:
d= √l²+w²= √24²+7²= √576+49= √625= 25
Answer:
25
Step-by-step explanation:
In Pythagoras' theorem a^(2) + b^(2) = C^(2)
If we input put values, 7^(2)+24^(2)= 625
The square root of 625 is 25
A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips
Answer:
$112.50
Step-by-step explanation:
so the first thing you would do is add 12 to 13 to get
12 + 13 = 25
then multiply 25 by 4.50 to get
25 x 4.50 = 112.50
so the average number of tips the server has received is $112.50
blessings has cherries
she eats 1/4 of them
she has 18 cherries left
how many did she have at the beginning
Answer:
24 cherries
Step-by-step explanation:
18 is 75% of the original amount, meaning 25% will be 6 cherries.
So, 18 + 6 = 24, the original amount
Answer:
24 cherries
Step-by-step explanation:
If she has 18 now, and ate 1/4, its easiest to think of 18 as the other 3/4. When divided by 3, we get 6. If 18 is three sets of 6, you just add the fourth one to it to find the original amount. The answer is 24.
Solve (x − 2) = 3
Give your solutions correct to 3 significant figures.
Answer:
(x − 2) = 3
Remove the bracket
x - 2 = 3
Group the constants at one side of the equation
x = 2 + 3
x = 5
Therefore x = 5.00 to 3 significant figures.
Hope this helps
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown. 8x + 7y = 39 4x – 14y = –68
Answer:
(1/2, 5)
Step-by-step explanation:
8x + 7y = 39
-2(4x - 14y = -68)
-8x + 28y = 136
8x + 7y = 39
add the two equations together
35y = 175
y = 5
8x + 7(5) = 39
8x = 4
x = 1/2
Answer:
Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).
Step-by-step explanation:
exactly from EDGE 2020
‼️‼️10 points‼️‼️
1. Is the relationship shown by the data linear. If so, model the data with an equation.
A. The relationship is linear; y-5=-4/5(x-5).
B. The relationship is not linear.
C. The relationship is linear; y-5=5/4(x-1).
D. The relationship is linear; y-1=4/5(x-5).
Answer:
The correct answer is B.
Step-by-step explanation:
There is no clear rule regarding the relationship with these numbers. So it is not linear.
Good Luck!
Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.
Answer:
1/4 or 0.25
Step-by-step explanation:
1)January
2)February
3)March
4)April
5)May
6)June
7)July
8)August
9)September
10)November
11)October
12)December
Months that have less than five letters in its name
June
July
May
Probability= successful outcome ÷ possible outcone
Successful outcome=3
Possible outcome=12
Probability of Hannah guessing her brother's birthday=3÷12=1/4