Answer:
(B) f(-4)=g(-4) and f(0)=g(0)
Step-by-step explanation:
From the given graph, the lines f(x) and g(x) intersects at two different points.
When x=-4, f(-4)=4 and g(-4)=4When x=0, f(0)=4 and g(0)=4Therefore, the points which represent where f(x)=g(x) are:
f(-4)=g(-4); and f(0)=g(0)The correct option is B.
Answer:
B
Step-by-step explanation:
What is the slope? 50 points + brainly
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
1/2
Step-by-step explanation:
Hi there, let me show you how to answer this question.
If you notice, the line goes over (-1,-10) and (1,-9). But overall, the rise/run is 1/2 as the rise is 1 and the run is 2.
What is the volume of this rectangular prism?
Please help I need the answer fast
Answer:
24.5 cubic centimeters
Step-by-step explanation:
The volume of a rectangular prism is the width multiplied by the length and then height. In this case, this means that the volume is:
[tex]\dfrac{7}{2}\cdot 5 \cdot \dfrac{7}{5}=24.5[/tex]
Hope this helps!
Answer:
Step-by-step explanation:
V=7/5*5*7/2=49/2=24.5 cm^3
Find the radius of a circle that has a circumference of 16 .
O r=4
O r=8
O r= 12
O r=16
Answer:
2.55
Step-by-step explanation:
To find the radius, the formula is:
R = C/2 x pi
pi = 3.14
16/(2 x 3.14) = 2.54648
= 2.55
Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find
Answer:
Answer is below
Step-by-step explanation:
C = 5/9(F - 32) This equation is used to convert from Fahrenheit to Celsius on the temperature scale.
An example is listed below
C = 5/9(32 - 32) Subtract in the parentheses
C = 5/9(0) Multiply
C = 0 When it is 32 degrees Fahrenheit, it is 0 degrees Celsius
Answer:
you answer the question
Step-by-step explanation:
hope this help
Evaluate the sine of angle X for the right triangle below.
Answer: C
Step-by-step explanation:
Sine is opposite/hypotenuse. Unfortunately, the hypotenuse is blank. Therefore, we need to solve for hypotenuse. We use Pythagorean Theorem to find hypotenuse.
Pythagorean Theorem: a²+b²=c²
7²+24²=c²
49+576=c²
625=c²
c=√625
c=25
Now that we have found the hypotenuse, we can find sine of x. Opposite of x is 7. Hypotenuse is 25. Therefore, sinx=7/25.
Answer:
7/25
Step-by-step explanation:
Just finished the lesson and checked the answer key :D
Solve for x: -4x=2x+5
Answer:
-.833333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
subtract 2x from each side
you are left with -6x=5
divide 6 on both sides
you get -.8333333333333333333333333333333333333333333333333333
Answer:
x= [tex]-\frac{5}{6}[/tex] or 0.83
Step-by-step explanation:
-4x=2x+5
First, you subtract 2x from both sides
-4x - 2x = 2x - 2x + 5
-6x = 5
Divide both sides by the coefficient of x(The coefficient of x here is -6)
[tex]\frac{-6x}{-6} = \frac{5}{-6}[/tex]
x = [tex]-\frac{5}{6}[/tex]
OR
In decimal form⇒ 0.82828282...
≅ 0.83
∴ x = [tex]-\frac{5}{6}[/tex] or 0.83
Hope this helps!!!
A hospital gives a survey to all surgical patients asking them to rate the quality of their hospital experience. One month after surgery, the hospital contacts the patients again to ask if there were any complications from the surgery. Last year, the results of the surveys showed that of the patients who had a poor hospital experience, 40% had post-surgical complications. What conclusion can be drawn from this study?
A) Poor hospital experiences cause post-surgical complications.
B) Some patients who have a poor hospital experience also have post-surgical complications.
C) Post-surgical complications cause poor hospital experiences.
D) Most patients who have a poor hospital experience also have post-surgical complications.
Answer:
B) Some patients who have a poor hospital experience also have post-surgical complications.
Step-by-step explanation:
It is only "some" because it isnt 50% or more
Two points on a line are (3, 6) and (4, 9). What is the slope of the line?
Answer:
slope of line= 3
Step-by-step explanation:
slope of line= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
(X₁, Y₁)= (4, 9)
(X₂, Y₂)= (3, 6)
* The order of which one is the first coordinate or second does not matter. Just ensure that if you let the x-coordinate of 1 point to be X₁, the y-coordinate of the same point has to be Y₁.
Thus, slope of line
[tex] = \frac{9 - 6}{4 - 3} \\ = \frac{3}{1} \\ = 3[/tex]
1. What is the surface area of the pyramid below
6 , 5.2 ,8.2
What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third? x > StartFraction 25 over 18 EndFraction x < StartFraction 25 over 18 EndFraction x > 2 x < 2
Answer:
Correct option: third one -> x > 2
Step-by-step explanation:
Writing the inequation from the sentence in the question, we have:
[tex](5/6)x - 1/3 > 1\ 1/3[/tex]
To solve this inequation we can do the following steps:
[tex](5/6)x > 1\ 2/3[/tex]
[tex](5/6)x > 5/3[/tex]
[tex]x > (5/3) / (5/6)[/tex]
[tex]x > (5/3) * (6/5)[/tex]
[tex]x > 2[/tex]
So the correct option is the third one: x > 2
Answer:
The answer is C.
x>2
Step-by-step explanation:
on edge
Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?
Answer:
£265
Step-by-step explanation:
Total fraction of money spent= [tex]\frac{1}{3} +\frac{1}{4}[/tex]
= [tex]\frac{7}{12}[/tex]
Actual money spent = [tex]\frac{7}{12}[/tex] * £636
= £371
Money he has left = £(636 - 371)
= £265
Answer:
$265
Step-by-step explanation:
Hi Sonielis, when you submit this form, the owner will be able to see your name and email address.
1. In the scale drawing shown the room is 3 centimeters long. What is the actual length of the
room if 1 cm = 3 m?
Answer: 1 cm = 3m
9 m
Step-by-step explanation:
1 cm = 3 m
2 cm = 6 m
3 cm = 9 m
Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000. Child Performance of investments over the course of the competition Albert $1000 earned 1.2% annual interest compounded monthly $500 lost 2% over the course of the 10 years $500 grew compounded continuously at rate of 0.8% annually Marie $1500 earned 1.4% annual interest compounded quarterly $500 gained 4% over the course of 10 years Hans $2000 grew compounded continuously at rate of 0.9% annually Max $1000 decreased in value exponentially at a rate of 0.5% annually $1000 earned 1.8% annual interest compounded biannually (twice a year) 1. What is the balance of Albert’s $2000 after 10 years? 2. What is the balance of Marie’s $2000 after 10 years? 3. What is the balance of Hans’ $2000 after 10 years? 4. What is the balance of Max’s $2000 after 10 years? 5. Who is $10,000 richer at the end of the competition?
Answer:
Step-by-step explanation:
Albert:
$1000 earned 1.2% annual interest compounded monthly
= 1000 (1+.001)120
(periodic interest = .012/12 ,n is periods = 10yr x 12 mos)
$500 lost 2% over the course of the 10 years
= 500 (.98)
$500 grew compounded continuously at rate of 0.8% annually
= 500 e^008(10) 10 years interest .008 (in decimal form)
Add these three to see how Albert did with his investments
The balance of Albert is $2159.07; the balance of Marie is $2244.99, the balance of Hans is $2188.35, and the balance of Max is $2147.40. Marie is $10,000 richer at the end of the competition.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
To determine the balance of Albert’s $2000 after 10 years :
If the amount of $1000 at 1.2 % compounded monthly,
A = P(1 +r/n)ⁿ n = 10 years
here P = $1000 and r = 1.2
A = 1000(1 + 0.001)¹²⁰
A = $1127.43
If Albert $500 losing 2%
So 0.98 × 500 = $490
If $500 compounded continuously at 0.8%
So A = P[tex]e^{rt}[/tex]
A = 500[tex]e^{0.008\times 10}[/tex]
A = 541.6
So the balance of Albert’s $2000 after 10 years :
Total balance = 1127.43 + 490.00+ 541.64 = $2159.07
To determine the balance of Marie’s $2000 after 10 years:
If 1500 at 1.4 % compounded quarterly,
A = 1500(1 + 0.0035)⁴⁰ = $1724.99
If $500 Marie’s gaining 4 %
So 1.04 × 500 = $520.00
So the balance of Marie’s $2000 after 10 years
Total balance = 1724.99 + 520.00 = $2244.99
To determine the balance of Hans’ $2000 after 10 years:
If $2000 compounded continuously at 0.9%
So A = 2000[tex]e^{0.009\times 10}[/tex]
A = $2188.3
To determine the balance of Max’s $2000 after 10 years :
If $1000 decreasing exponentially at 0.5 % annually
So A = 1000(1 - 0.005)¹⁰= $951.11
If $1000 at 1.8 % compounded bi-annually
So A = 1000(1 + 0.009)²⁰ = $1196.29
So the balance of Max’s $2000 after 10 years
Total balance = 951.11 + 1196.29 = $2147.40
Therefore, Marie is $10,000 richer at the end of the competition.
Learn more about Compound interest here :
brainly.com/question/25857212
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The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options..
Answer:
11 3/5 (12) buckets
Step-by-step explanation:
I can't see any options but this is how you'd work it out:
You divide 14 1/2 by 1 1/4
= 29/2 / 5/4
= 29/2 * 4/5
= 29*2 / 5
= 58/5
= 11 3/5 buckets
Answer:
the answer is A C
Step-by-step explanation:
How many people are female OR study French OR both
Answer:
42 are female, 28 people study french, 16 do both.
Step-by-step explanation:
16 french girls + 11 german + 16 spanish = 43 females
12 male french + 16 female french = 28
16 are under both catagories.
Cant help you with the probability
The number of people who are female OR study French OR both is 55 and the probability that any person is female OR studies French OR both is 11/16. This can be obtained by Venn diagram formula of sets and calculating the values.
What is the Venn Diagram Formula ?For any two sets A and B, n(A∪B)=n(A)+n(B)-n(A∩B)
Calculate the number of people who are female OR study French OR both:Given that,
Number of female = 43
Number of people studying French =28
Number of female studying French = 16
The number of people who are female OR study French OR both,
n(studies French ∪ Female)
= n(studies French) + n(Female) - n(studies French ∩ Female)
=28+43-16 = 55
Calculate the probability that any person is female OR studies French OR both:Given that,
Total number of people = 80
By using formula of probability,
P(Female∪studies French)= [tex]\frac{55}{80}[/tex]=[tex]\frac{11}{16}[/tex]
Hence the number of people who are female OR study French OR both is 55 and the probability that any person is female OR studies French OR both is 11/16.
Learn more about Venn diagram formula here:
brainly.com/question/310191
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I need help with this if someone could help me
Answer:
SSA (SIDE, ANGLE, SIDE)
Step-by-step explanation:
Find the x-intercept for the line represented by this equation 7x=2y-3 A. (-3/7,0) B.(0,-3/7) C.(3/2,0) D.(0,3/2)
Answer:
(-3/7, 0)
Step-by-step explanation:
7x=2y-3
To find the x intercept, set y = 0 and solve for x
7x = 0-3
7x = -3
Divide each side by 7
7x/7 = -3/7
x = -3/7
The x intercept is
(-3/7, 0)
Answer: A
Step-by-step explanation:
For the x-intercept, we know y=0. We can eliminate B and D.
We know either A or C is the correct answer. This line is linear so there should be only one x-intercept. We can solve this equation to see which is correct. Let's plug in A and C into the equation to see which is right.
A. Correct
[tex]7(-\frac{3}{7} )=2(0)-3[/tex]
[tex]-3=-3[/tex]
C. Incorrect
[tex]7(\frac{3}{2} )=2(0)-3[/tex]
[tex]\frac{21}{2}\neq -3[/tex]
Yesterday, Pete had 14 shirts. Today, he donated n shirts. Using n, write
an expression for the number of shirts Pete has left.
Answer:
14 - n.
Step-by-step explanation:
If he donated 'n' shirts, we can simply subtract 'n' from his initial amount of shirts, which is stated as '14'. Therefore:
'14 - n' is an expression that can represent how many shirts are remaining after he donated them.
The library is 3 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall?
A. 7 miles west
B. 7 miles east
C. 13 miles west
D. 13 miles east
Answer:
A
Step-by-step explanation:
If the library is 3 miles east of the hall, and the mall is 10 miles west of the library, then do 10 - 3 to find the distance between the mall and hall, which is 7 miles.
The mall is also west of the city hall.
Answer:
a 7 miles west
Step-by-step explanation:
i took the test plz mark brainliest
Mrs. Olga’s credit card charges an interest rate of 19% compounded annually. If her current balance is $250, what will her balance be after 3 years?
Answer:
$421.30
Yearly Componded Interest
$250 * 19% = $47.50 = $297.50 <-- Year One Balance
$297.50 * 19% = $56.53 = $354.03 <-- Year Two Balance
$354.03 * 19% = $67.27 = $421.30 <-- Year Three Balance
Answer:
$421.29
Step-by-step explanation:
$250
19%
3 years
----------
$250*1.19³= $421.29The given equation has been solved in the table. Step Statement 1.) 3x - 10 = -16 2.) 3x - 10 + 10 = -16 +10 3.) 3x = - 6 4.) 3x/3 = -6/3 5.) x = -2 Use the table to complete each statement. In step 2, the _____ property of equality was applied. In step 4, the_____ property of equality was applied.
The answer is
In step 2, the addition property of equality was applied.
In step 4, the division property of equality was applied.
Proof that the answer is correct.
Answer:
addition
division
Step-by-step explanation:
Write your question here (Keep it simple and clear to get the best answer)if use the spinner 200 times how many pink colour would you get if it has 0.2
Answer: 40 times.
Step-by-step explanation:
If the probability in a sigle spin of getting the colour pink is p = 0.2
This means that in 0.2*100% = 20% of the spins we should see the colour pink.
Then, out of 200 spins, the 20% of 200 is
(20%/100%)*200 = 0.2*200 = 40
This means that out of 200 spins, in around 40 of them we will se the colour pink.
WILL GIVE BRAINIEST!!! Find the sum of the first 200 positive even numbers.
Answer:
2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50+52+54+56+58+60+62+64+66+68+70+72+74+76+78+80+82+84+86...+400=40200
Step-by-step explanation:
Find the length of segment VS. (Enter the just the value,
without any units.)
R
5
3
T
12
S
х
=======================================================
Explanation:
The triangles are similar, allowing us to form a proportion
The vertical sides pair up on one side, the horizontal sides pair up on the other side. Divide in the same order.
QV/RT = VS/TS
5/3 = x/12
12*5 = 3x ... cross multiply
60 = 3x
3x = 60
x = 60/3
x = 20
VS = 20
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
Oh(x) = X-4
Oh(x) = 2x
h(x) =
17 1x
Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?
The slope is One-half.
The slope is Negative 2.
The y-intercept is 7.
The y-intercept is 13.
Answer:
The y-intercept is 13.
5 people are trying to sit on a long bench of length 30.52\text{ m}30.52 m30, point, 52, start text, space, m, end text. Find the length occupied by each person.
Answer:
6.104 m
Step-by-step explanation:
The length of the bench is 30.52 m.
5 people want to sit down on the bench.
We assume they are seated with equal spacing between themselves.
The length occupied by each person will therefore be:
30.52 / 5 = 6.104 m
what is the value of x?
Answer:
x= 32
Step-by-step explanation:
if x+4x-20 = 180
5x=160
x=32
Please help
the question is below
Answer:
x = -8
Step-by-step explanation:
We have,
[tex]x-3y=136\ ...(1)[/tex]
and
[tex]18x+3y=-288\ ....(2)[/tex]
Adding equation (1) and (2) we get :
[tex]19x=-152\\\\x=-8[/tex]
So, the value of x is -8.
Look in pic to help!!
Answer:
Step-by-step explanation:
140-105 gives you the angle of X, X is then 35
Answer:
x = 65°
Step-by-step explanation:
The 2 base interior angles are adjacent to the external angles and are supplementary.
180° - 105° = 75°
180° - 140° = 40°
The sum of the 3 interior angles of a triangle = 180°
Subtract the sum of the 2 known interior angles from 180 for x
x = 180° = (75 + 40)° = 180° - 115° = 65°