Answer:
Step-by-step explanation:
Given the following coordinates of a triangle
P(-10,1)
Q(-10,-7)
R(-5,-7)
Required
Length of PQ
PQ = √(y2-y1)²+(x2-x1)²
From the coordinate;
x1 = -10, y1 = 1, x2 = -10 y2 = -7
Substitute
PQ = √(-7-1)²+(-10-(-10))²
PQ = √(-8)²+0²
PQ = √64
PQ = 8units
Hence the length of PQ in units is 8units
Yvette invests $300 each quarter in a fixed-interest mutual fund paying annual
interest of 7% compounded quarterly. How much will her account have in it at
the end of 11 years?
Answer:
Step-by-step explanation:
The formula for calculating the amount after t years is expressed as;
A = P(1+r/n)*nt
P is the Principal (amount invested) = $300
r is the rate = 7% = 0.07
t is the time used to save = 11 years
n is time of compounding = 1/4 (quarterly)
Substitute;
A = 300 (1+0.07/(1/4))^(1/4)(11)
A = 300(1+4(0.07))^2.75
A = 300(1+0.28)^2.75
A = 300(1.28)^2.75
A = 300(1.9716)
A = 591.49
Hence the amount that will be in her account after 11 years is $591.49
A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is 2584 square inches, find the width of the frame
Answer:
The width of the is 4 inches
Step-by-step explanation:
Assume that the width of the frame is x
∵ The width of the fame is x inches
→ That means each dimension will increase by 2x ⇒ x from each side
∵ The portrait has dimensions of 30“ x 60“
∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)
∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)
→ Multiply the brackets
∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)
∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²
→ Add the like terms
∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²
∴ The total area of the portrait plus frame = 4x² + 180x + 1800
∵ The total area of the portrait plus frame = 2584 square inches
→ Equate the two right sides of the area
∴ 4x² + 180x + 1800 = 2584
→ Subtract 2584 from both sides
∴ 4x² + 180x + 1800 - 2584 = 0
→ Add the like terms in the left side
∴ 4x² + 180x - 784 = 0
→ Divide all terms by 4 to simplify
∴ x² + 45x - 196 = 0
→ Factorize it to find the value of x
∵ x² + 45x - 196 = (x - 4)(x + 49)
→ Equate the right side by 0
∴ (x - 4)(x + 49) = 0
→ Equate each factor by 0
∵ x - 4 = 0
→ Add 4 to both sides to find x
∴ x = 4
∵ x + 49 = 0
→ Subtract 49 from both sides to find x
∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)
∴ The width of the is 4 inches
Could anyone help me find the missing value of W,X,Z, and Y ?
Answer:
x= 50°
w= 130°
y°= 110°
z°=30°
Step-by-step explanation:
x°= 180° - 60°- 70° ( angle sum of triangle)
= 50°
w°= 180° - 50° ( adjacent angles on a straight line)
= 130°
y°= 180° - 70° ( adjacent angles on a straight line)
= 110°
z°= 180 - 40° - 110° ( angle sum of triangle)
= 30°
610 divided by 20 without a decimal
Answer:
30 remainder 1 or 30.5
Step-by-step explanation:
please make me brainliest
Find the difference
5/5 - 2/10
Answer:
0.8
Step-by-step explanation:
Answer:
8/10
Step-by-step explanation:
5/5 is equivalent to 1 whole or one.
So all your suppose to do is 1 minus 2/10 which is 8/10.
Hope that helps
↖(^ω^)↗
expand form 16(2x - 1)
Answer:
32x - 16
Step-by-step explanation:
16(2x - 1)
16 • 2x - 16
32x - 16
Answer:
32x - 16
Step-by-step explanation:
distrubutive property: 16 times 2x plus 16 times -1
solve his problem for X and Y
Answer:
y = 5, 3; x = 171, 155
Step-by-step explanation:
8y - 15 = y^2
y^2-8y+15=0
y^2-3y-5y+15=0
y(y-3)-5(y-3)=0
(y-5)(y-3)=0
y can be 5 or 3.
x = 180 - (8y - 15)
x = 180 - (8(3)-15)
x = 180 - 9
x = 171
OR
x = 180 - (8(5) - 15)
x = 180 - 25
x = 155
Consider a coin that a head is twice more likely to occur than a tail. Find the variance of number of heads when the coin is tossed three times.
Answer:
0.667
Step-by-step explanation:
Given that :
Head is twice more likely to occur than a tail.
P(head) = p(H) = 2/3
P(tail) = p(T) = 1/3
If coin is tossed 3 times :
P(H = 0) :
1st toss = tail ;2nd toss = tail ; 3rd toss =. Tail
(1/3) * (1/3) * (1/3) = 1 / 27
P(H= 1)
HTT, THT, TTH
(2/3 * 1/3 * 1/3) + (1/3 * 2/3 * 1/3) + (1/3 * 1/3 *2/3)
= 2/27 + 2 /27 + 2/27
= 6/27 = 2/9
P(H=2)
HHT, HTH, THH
(2/3 * 2/3 * 1/3) + (2/3 * 1/3 * 2/3) + (1/3 * 2/3 * 2/3)
= 4/27 + 4/27 + 4/27
= 12 / 27
= 4 /9
P(H = 3)
HHH
(2/3 * 2/3 * 2/3)
= 8 / 27
X ___ 0 ___ 1 ____ 2 ____ 3
P(x) _ 1/27 _ 2/9 __ 4/9 __ 8/27
E(X) = (0 * (1/27)) + (1 * (2/9)) + (2 * (4/9)) + (3 * (8/27)) = 2
E(X) = 2
Var(X) = Σx²p(x) - E(X)²
= (0^2 * (1/27)) + (1^2 * (2/9)) + (2^2 * (4/9)) + (3^2 * (8/27)) - 2^2
= 4.667 - 4
= 0.667
Hence, Var(x) = 0.667
There are 35 female performers in a dance recital. The ratio of men to women in the recital is 2 : 7 How many men are in the recital?
There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital
But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.
What is the solution to the system of equations?
O (-8,-4)
O(-4,-8)
O (44)
0 (4-4)
Answer:
C.
(2,4)
Step-by-step explanation:
i did it on edge
happy holidays :)
Answer: It's B (-4, -8)
Step-by-step explanation:
Can someone please help me and tell me if this is correct or no I’ll give brainliest
Please be honest
Answer: B
Step-by-step explanation: i googled it
Can someone help me with this? am i supposed to graph
Answer:
Step-by-step explanation:
1). a(x) = -4x + 7 If x > 1
a(8) = -4(8) + 7
= -32 + 7
= -25
2). a(x) = 2x - x² If -6 < x ≤ 1
a(1) = 2(1) - 1²
= 2 - 1
= 1
3). a(x) = |x - 8| If x ≤ -6
a(-7) = |- 7 - 8|
= |-15|
= 15
4). a(x) = 2x - x² If -6 < x ≤ 1
a(-3) = 2(-3) - (-3)²
= -6 - 9
= -15
5). a(x) = 2x - x² If -6 < x ≤ 1
[tex]a(-\frac{1}{2})=2(-\frac{1}{2})-(-\frac{1}{2})^{2}[/tex]
= - 1 - [tex]\frac{1}{4}[/tex]
= [tex]-\frac{5}{4}[/tex]
6). a(x) = -4x + 7 If x > 1
[tex]a(\frac{9}{4})=-4(\frac{9}{4})+7[/tex]
= -9 + 7
= -2
What is the volume of the figure? Enter the answer in the box.
Answer:
217,600
Step-by-step explanation:
Multiply all the sides
ed
A running track has two straight sides with length 130 m and two semicircle
ends with radius 40 m. It takes Kat 20 seconds to jog 80 m. How long would
it take her to jog around the track 42 times? Give your answer in hours and
minutes, to the nearest minute.
40 m
130 m
Answer:
1 hour 29 minutes and 29 seconds
Step-by-step explanation:
We need to find the circumference of the two semicircles of the track (which forms a full circle of radius 40m):
pi×40×2 = 80pi
The total length of the track to be travelled would be:
(80pi+130+130) × 42 = (80pi+260) ×42
= 21 476m (Rounded to 5 s.f.)
80m/20s
1s = 80÷20
= 4m
For every 1 second, Kat travels 4m.
Total Time taken:
21 476÷4 = 5369 seconds
= 1 hour 29 minutes and 29 seconds
Match the following Match the items in the left column to the items in the right column
1 fish to Starfish
2. total to fish
3. Starfish to total
4. Starfish to fish
Answer:
Sorry, you didn't send the picture with it. But, I have the picture that you forgot to send, here is the picture.
Step-by-step explanation:
That is the image down there! Thanks. Sorry, I can't answer though.
You earned a 90% on a science test. You answered 18 questions
correctly. How many questions were on the test?
Answer:
20 questions
Step-by-step explanation:
10 divided by 20 is 0.9 which would be 90%
A firm producing poultry feeds finds that the total cost C(x) in dollars of producing and selling x units is given by
C(x) - 20x+100. Management plans to charge $24 per unit for the feed. How many units must be sold for the firm to break even?
Answer:
Break-even point in units= 25
Step-by-step explanation:
Giving the following information:
Fixed cost= $100
Unitary variable cost= $20
Selling price per unit= $24
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 100 / (24 - 20)
Break-even point in units= 25
How many filled sandwich cookies would you need to reach of 1700 mm if you only had one top of the cookie, the stuffing and one bottom of the cookie? Height of top of cookie 3.5 mm height of stuffing 2 mm and height of bottom of cookie 3.5 mm
Answer:
??
Step-by-step explanation:
Why it said he used partial products to write 7 × 870 = 5600 + 49 explain why its error in use math to justify your explanation
The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
The given equation is 7 × 870 = 5600 + 49.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Now, product of two numbers 7 and 870 is
7 × 870=6090
⇒ 7 × 870 = 5600 + 490
Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
#SPJ2
The mean of birth weights for individual babies in the population is 3,500 grams. What is the mean birth weight for the sampling distribution for samples of 100 babies?
Answer:
The mean birth weight for the sampling distribution is
3,500 grams.
Step-by-step explanation:
The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population. If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean. This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.
i need help on 23 !!
Answer:
Step-by-step explanation:
1/4 * 2/3 = 2 / 12 = 1/6
please help will give brianliest
Answer:
I helped
Step-by-step explanation:
you okay do can I get some points cuh
Answer:
with what?? >_>
Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following
equations represents his total cost?
A. y = 30x + 4
B. y = 34x
C. y = 4x + 30
D. y = 4x + 34
PLEASE HELPP!!!
Answer:
The required equation is:
[tex]y=4x+30[/tex]
So, Option C is correct option.
Step-by-step explanation:
Entry fee for fair = $30
Cost of one ride = $4
Cost of x rides = $4x
If y represents the total cost the equation will be sum, of entree fee and cost of x rides i.e
[tex]y=4x+30[/tex]
The required equation is:
[tex]y=4x+30[/tex]
So, Option C is correct option.
Daniel received $150 for his birthday this year. this was $10 less than half the amount he received last year. How much money did Daniel receive for his birthday last year?
Answer:
He received $320 last year
Step-by-step explanation:
Answer:
$320
Step-by-step explanation:
2(150 + 10)= x. x=2(160) x=320. SO he actually got 320 dollars for his birthday last year.
what does it mean to be a function how can you determine functionality of a relation or eqaution graph
Addison has a balance of $3,450 on her credit card that has an APR of 18%. She currently pays the minimum monthly payment of $86.25. If Addison wants to pay off her balance in 24 months, determine the monthly payments she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Addison to pay off her balance in 24 months.
Income
WAgES
$2,278.00
EXPENSES
Rent
$950.00
Utilities
$232.45
Food/Clothes
$445.00
Entertainment
$270.00
Car
$200.00
Credit Card
$86.25
Cell Phone
$77.89
Net Income $16.41
a.
Addison can eliminate $73 from Food/Clothes and $100 from Entertainment.
b.
Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
c.
Addison can eliminate $25 from Food/Clothes and $22 from Entertainment.
d.
The minimum payment is enough to pay off the balance within 24 months.
ANSWER IS B)Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Answer: (B) Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.
Based on the information given, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00).
Given the following data:
Balance = $3,450.APR = 18%.Monthly payment = $86.25.Time = 24 months (2 years).How to calculate monthly payment.Mathematically, the monthly payment for a credit card can be calculated by using this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00) because they are the least cuts to her current expenses and they would avail her an opportunity to pay off her balance in 24 months (2 years).
Read more on monthly payment here: https://brainly.com/question/2151013
Helppp please I need help ASAP!!!!!
Answer:
D
Step-by-step explanation:
The answer is D because the 45 would represent his songs, and 180 would represent the total.
CH4 + O2 → CO2 + 2 H2O
the picture is the answer
Answer:
4. 3
The answer is the last option, all you do is reduce
Step-by-step explanation:
rise over run = rise/run = 6/2
reduce,
6/2
3/1
3x
Please help. This is a solve for x problem!
Answer:
3/10 = x or 0.3 = x
Step-by-step explanation:
2.1 / x + 1 4/5 = 3 / 10x
1. first cross multiply and solve it normally:
3 (x + 1 4/5) = (2.1) 10x
3x + 5 2/5 = 21x
-3x -3x
5 2/5 = 18x
3/10 = x or 0.3 = x
these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!
hope this helps!
Answer:
x = 3/10 = 0.3
Step-by-step explanation:
{(2.1)/(x+1 4/5)} = 3/10x
x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5
then:
(2.1)/(x+9/5) = 3/10x
10x*2.1 = 3(x+9/5)
21x = 3x+ 27/5
21x - 3x = 27/5
18x = 27/5
90x/5 = 27/5
90x = 27
x = 27/90
x = 3/10 = 0.3