Answer:
Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".
Step-by-step explanation:
To find the r (rate) of each series, we can divide one term by the term before:
Series A: 4 / 10 = 2/5
Series B: (3/5) / (1/5) = 3
So the series A has an r value between 0 and 1, so we can find the sum of the series.
The sum is given by the formula:
Sum = a1 / (1 - r)
Where a1 is the first term. So we have that:
Sum = 10 / (1 - (2/5))
Sum = 10 / (3/5)
Sum = 10 * (5/3) = 50/3
Answer:
Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".
What is the quotient of x^2-9x+14/x-7?
A. x+2 B. x-7 C. x-2/x-7 D. x-2
Answer:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
Step-by-step explanation:
Please use parentheses to show clearly that you are dividing by (x - 7):
x^2 - 9x - 14
------------------- or (x^2 - 9x - 14) ÷ (x - 7)
x - 7
x^2 - 9x + 14 factors into (x - 7)(x + 2). After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:
Answer:
d. 63
Step-by-step explanation:
sum of 3 interior angles= 180°
78°+39°+a=180°
a= 180°- 117°
a= 63°
Answer:
D. 63°
Step-by-step explanation:
The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.
78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)
If there is a triangle and the sides are 8&12 and 14 what is the missing angle
Answer:
8/12 = 14/x
Cross multiplication so
8x=14×12
8x=168
X=168/8
X=21
Marlin made the wooden block below in his woodworking class. What is the surface area of his block?
Answer:
The answer is D
Step-by-step explanation:
I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared
1. Kane earns an annual salary of $42,500.
He is paid twice a month with paychecks being
of equal amounts. If Medicare taxes
represent 1% of his income, then how much
will Kane bring home after Medicare taxes?
Answer:
$1753.13
Step-by-step explanation:
Kane's Annual Salary = $42,500
Gross Pay = $42,500
Net Pay = Gross Pay - 1% of Gross Pay
=42500 - (0.01 X 42500)
=$42,075
Since he is paid twice a month with paychecks being of equal amounts.
Number of Payments in a Year =12 X 2= 24
Therefore, Kane's Take Home pay after Medicare taxes
[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]
the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price
Answer:
$1000.45 is the new price.
Step-by-step explanation:
The fastest way in which to answer this question is to multiply $935.00 by 1.07. That ".07" comes from "7%."
1.07($935.00) = $1000.45 is the new price.
help pls!
A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?
show work pls
Answer:
the probability that the next gumball that comes out will be neither yellow nor blue = 6/17
Step-by-step explanation:
neither yellow nor blue gumball = pink gumball = 6
3 yellow + 8 blue + 6 pink = total =17
Sonia works at a bakery. The function
Answer:
I think the function is that she is working.
Given the equations below what is the value of ab?
10b-9a=6
b-a=1
Answer:
12
Step-by-step explanation:
Adding a to both sides of the second equation we get b = a+1
Substituting this in we get
10a + 10 - 9a=6
a +10 =6
a=-4
Putting this back in to the second one we get b+4=1
B=-3
-4*-3=12
The value of ab = 36.
We have the following equations -
10b - 9a = 6
b - a = 1
We have to determine the value of ab.
If [tex]a^{2} -b^{2} = \pi[/tex] and [tex]a + b = 4\pi[/tex] then the value of (a - b) will be ?We have - [tex]a^{2} -b^{2} = \pi[/tex]
(a + b) (a - b) = [tex]\pi[/tex]
a - b = [tex]$\frac{\pi }{4\pi }[/tex] = 1/4
According to question, we have -
10b - 9a = 6
b - a = 1
Now -
b - a = 1
a = b
Therefore -
10b - 9a = 6
10b - 9b = 6
b = 6 = a
ab = 6 x 6 = 36
Hence, the value of ab = 36.
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what is 1.8 increased by 10 to make a new mean
Answer:
18
Step-by-step explanation:
1.8*10= 18/10*10=180/10=18
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73
Answer:
A and B
Step-by-step explanation:
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21
When simplifying an algebraic expression, the following steps are needed to be taken.
Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.
Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.
A) 126/2
Applying the division rule give:
126/2 = 63
B) 23 × 3
Applying multiplication rule gives:
23 × 3 = 69
C) 3 × 21
Applying multiplication rule gives:
3 × 21 = 63
Both the results of expression A and expression B are simplified to the same result
PLEASE ANSWER FAST A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. One-third c. 1 b. One-half d. StartFraction 3 Over 7 EndFraction Please select the best answer from the choices provided A B C D
Answer:
a is my end result. hope that was right
The theoretical probability of rolling an even number is one-half.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.
In this case, we have 3 even outcomes: 2, 4, and 6.
Therefore, the probability of rolling an even number on a fair die is:
P(even) = number of even outcomes / total number of outcomes
P(even) = 3 / 6
P(even) = 1/2
Thus,
The theoretical probability of rolling an even number is one-half.
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NO ONE HELPED ME WITH MY LAST QUESTION PLS HELP WITH THISSSS, I DONT WANNA GET A BAD GRADE AND I HAVE 2 MINUTES LEFTT!!
Answer:
Step 2.
-11/12 > -1.5
1.6 > 5/4
1 < 5/4
Step-by-step explanation:
Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.
You are participating in a walk-a-thon. Donors can pledge a certain amount of money
for each mile that you walk, or a fixed amount that doesn't depend on how far you walk, or both
The table gives the amounts pledged by three donors.
a. Write an equation for each donor in the boxes below.
Donor
Amount
Fixed Amount
Per Mile
Equation
Jenna
None
$35
Camille
$5
None
Leila
$3
$15
b. You end up walking 18 miles.
Which donor donated the greatest amount of money and how much was it?
Hi can anyone please help me I really need help please help me
Answer:
3811.2 cubic cm
Step-by-step explanation:
Formula for sphere volume: 4/3πr^3 and since r=10, then plugging it in will be 1000*4/3π≈4188.79. The cube has side length 10*2=20 and has a volume of 20^3=8000. 8000-4188.79=3811.21≈3811.2
she can make 4 basketballs in 1/2 hours.how many in 5 hours?
Answer: 40
Step-by-step explanation:
Answer:
40 basketballs in 5 hours
Step-by-step explanation:
If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8
Multiply how much she can make every hour by the amount of hours.
8 x 5 = 40
Y=10 when x=8 what is x when y=30
Answer:
X= 24
Step-by-step explanation:
Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3
Answer:
28 or 24 im not sure which
is x^2 + y^2 = 5 a function
Answer:
No it is not a function.
Step-by-step explanation:
Answer:
No. This is NOT a function.
Step-by-step explanation:
20 points for who ever get it right someone who knows what they doing please
Answer:
F is greater than 25
F is positive
Step-by-step explanation:
You know that F must be positive, since a number is subtracted from it and then another number is multiplied by that difference. Since a positive number multiplied by a negative number is negative, F must be positive.
You also know that F is greater than 25, because a number is subtracted from it and it is multiplied by a fraction between 0 and 1, meaning that that difference is further reduced.
Hope this helps!
GIVE ME THE COORDINATES!!!
Answer:
(0,1)
Step-by-step explanation:
The solution to a system of equations is where the two lines intersect. Algebraically, you could solve this by setting the equations equal to each other.
I hope this helps!
I WILL MARK YOU BRAINLIEST!!!!!
Answer:
D.
Step-by-step explanation:
as you ride your bike around the lake. you always go the same distance. the lake doesn't all of a sudden change size.
An urn contains 7 pink and 5 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places.
Answer:
.116
Step-by-step explanation:
7 pink and 5 black balls. = 12 balls
P( pink) = pink balls/ total = 7/12
replace
P( pink) = pink balls/ total = 7/12
so this is true for each case
P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736
=.115788966
To 3 decimal places
.116
a wedding ring costs £13000. Work out the price after a 11% increase
Answer:
14430 pounds
Step-by-step explanation:
Given that:
cost of ring: 13000
percentage increase: 11%
So, to find the new cost, we have to find the increase cost, in pounds:
11 / 100 times 13000 = 1430 pounds.
NOW to calculate the new cost, we add the increase cost to the original:
13000 + 1430 = 14430
Please mark brainiest
Solve for x.
8x - 4 = 2x - 3
8x-4=2x-3
One solution was found :
x = 1/6 = 0.167
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*x-4-(2*x-3)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : 6x-1 = 0
Add 1 to both sides of the equation :
6x = 1
Divide both sides of the equation by 6:
x = 1/6 = 0.167
One solution was found :
x = 1/6 = 0.167
i am not solving for x i am solving for you lol!!!
Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi
Answer:
d=6
Step-by-step explanation:
Answer: diameter is 6
Step-by-step explanation:
How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms
Answer:
Step-by-step explanation:
x^2 + xy + y^2 has 3 terms they are:
x^2, xy, and y^2
hope it helps
plz mark as brainliest!!!!!!!!!!
The polynomial x²+xy+y² has 3 terms. Option C is correct.
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
Given polynomial;
⇒x²+xy+y²
The three terms are as follows;
x²
xy
y²
The polynomial x²+xy+y² has 3 terms.
Hence, option C is correct.
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Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer & Step-by-step explanation:
In the problem, we are given an equation. h(t) = -20 + 11t
In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.
t = 11
h(11) = -20 + 11(11)
h(11) = -20 + 121
h(11) = 101
So, h(11) is equal to 101
Answer:
101
Step-by-step explanation:
h(t)= -20+11t
h(11)= -20+11(11)
h(11)= -20+121
h(11) = 101
What is the HCF of 36 81?
Answer:
9
Step-by-step explanation:
Let us look at the factors of each of these
36:
1 and 36
2 and 18
3 and 12
4 and 9
81:
1 and 81
3 and 27
9 and 9
When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.
Answer: hope that's right
HCF OF 36 81 = 9
Step-by-step explanation:
Steps to find HCF:
Find the prime factorization of 36 36 = 2 × 2 × 3 × 3
Find the prime factorization of 81 81 = 3 × 3 × 3 × 3
To find the HCF , multiply all the prime factors common to both numbers:
Therefore, HCF = 3 × 3
What is the solution to this system of linear equations?
7x – 2y = –6
8x + y = 3
(–6, 3)
(0, 3)
(1, –5)
(15, –1)
Answer:
de correct one is
x 0
y 3
hope u got it
The equation shows the relationship between x and y:
y = −9x + 5
What is the slope of the equation?
−14
−9
−4
5
Answer:
-9
Step-by-step explanation:
for linear equations, the show off the line is the coefficient of x.
in this case, the slope would be -9
