Answers
Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided. The expression that was provided is [tex]15c^2 - 5c[/tex].
The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common. We can see that both [tex]15c^2[/tex] and [tex]-5c[/tex] have the number 5 and the variable c associated with them so we can factor out those two.
Factor out 5c
[tex]15c^2 - 5c[/tex][tex]5c(\frac{15c^2}{5c}) - 5c(\frac{5c}{5c})[/tex][tex]5c(3c) - 5c(1)[/tex][tex]5c(3c - 1)[/tex]Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of [tex]5c(3c - 1)[/tex].
Answer:
5c(3c - 1)
Step-by-step explanation:
Take out the 5c to factor out completely
Related Questions
find the radius of a circle with a circumference of 59 yards round your answer to the nearest hundredth of a yard
Answers
Answer:
9.39
Step-by-step explanation:
[tex]\frac{C}{2\pi } =R[/tex]
[tex]\frac{59}{6.28}[/tex]= 9.39
PLS HELPPPPP !!!! Figure ABCD is transformed to figure A'B'C'D':
B
A
5-4-3-2-10 1 2
1
-2
C
Which angle in Figure A'B'C'D' is equal to ZBCD?
OZD'A'B'
OZA'B'C'
ZB'C'D'
OZC'D'A'
54
Answers
what is 15/56 in simplest form
Answers
Answer:
15/56
Step-by-step explanation:
15 and 56 have a GCF of 1.
Based on the data collected from 23 flights, what is the probability of at least one O-ring failing, regardless of temperature?
(Note: This probability is called an experimental probability because it’s based on only 23 flights, which is a fairly small number of events. To get a better approximation of the actual probability, we would need data from many more flights. Note also that even though there was O-ring failure on seven flights, all of those shuttles returned safely.)
Answers
Using it's concept, it is found that there is a 0.3043 = 30.43% probability of at least one O-ring failing.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, of the 23 flights, 7 had at least one failure, hence the probability is given by:
p = 7/23 = 0.3043.
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The cost to rent an rv is $150 per day plus $0.35 per mile. what is the maximum distance you can drive the rv in a day if your budget is $200?
Answers
Answer:
142.86 miles
Step-by-step explanation:
150 + .35m < 200
150 + .35m -150 < 200-150
.35m < 50
.35m/35 < 50/.35
m < 142.86
The maximum distance I can drive the rv in a day if my budget $200 is, approx. 142 miles
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
The cost to rent an rv is $150 per day + $0.35 per mile
The maximum distance in a day = ?
Budget is $200
So,
The maximum distance in a day ≤ 200
The maximum distance in a day = 150 + 0.35x
Now,
⇒ 150 + 0.35x ≤ 200
⇒ 0.35x ≤ 200 - 150
⇒ x ≤ 142.85
Hence, maximum distance in a day is approx. 142 miles
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One force of 700 pounds and one force of 490 pounds act on a body at the same point so that the resultant force is 1120 pounds. find the angle between the resultant and the smaller force, to the nearest degree.
Answers
Answer:
angle 700 < angle 1120 pounds
Below are statements that can be used to prove that the triangles are similar.
1.
AB=BC
ZY
YX
Z
2. ZB and LY are right
angles.
3.7
345x
-5-3-2-1₁.
0
4.?
B
Which two statements are missing in steps 3 and 4?
OLX =
AABC-AZYX by the SAS similarity theorem.
O
5
4+
3+
2+
271
in bo & mp
-3-
U
Answers
3) [tex]\angle B \cong \angle Y[/tex]
4) [tex]\triangle ABC \sim \triangle ZYX[/tex] by the SAS similarity theorem
ΔABC is similar ΔZYX by the SAS similarity theorem. Therefore, option B is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
1. AB/ZY = BC/YX = 2
2. ∠B and ∠Y are right angles
3. ∠B=∠Y
4. ΔABC is similar ΔZYX by the SAS similarity theorem.
Therefore, option B is the correct answer.
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find the surface area of the composite figure. Worth 25 points!!!!
please answer correctly!!!
Answers
A volcanic eruption ejects about 43,600,000,000 cubic feet of volcanic rock. A smaller volcanic eruption ejects about 75% of this amount. What is the approximate amount of volcanic rock that the smaller volcanic eruption ejects? Write the result as a product of a single digit and a power of 10.
Answers
Answer:
3 × 10^10
Step-by-step explanation:
43,600,000,000 × 75% = 0.75 × 43,600,000,000 = 32,700,000,000 =
= 3.27 × 10^10
Answer: 3 × 10^10
p and q are rational numbers which of the following expression cannot be used to find the distance between them on the number line
Answers
The expression that cannot be used to find the distance between them on the number line is |p + q|.
How to depict the infomation?p and q are rational numbers. Which of the following expressions cannot be used to find the distance between them on the number line.
A. |p - q|
B. |p + q|
C. |q + (-p)|
D. |q - p|
Rational number is a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
Here, the expression that cannot be used to find the distance between them on the number line is |p + q|.
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A company provides snack-sized packages of nuts for its office employees.
employees can choose from among five kinds of nuts. which probabilities
correctly complete this probability distribution for 50 packages of nuts, in the
order listed?
nuts
almonds cashews mixed peanuts pecans
12
10
6
14
8
number of
packages
probability
a. probability 0.32 0.24 0.14 0.2 0.1
Answers
The probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.
How to calculate the probability?From the information given, we have to find the probability for each fruit. This will be:
Almond = 12/50 = 0.24
Cashew = 10/50 = 0.2
Mixed = 6/50 = 0.12
Peanut = 14/50 = 0.28
Pecan = 8/50 = 0.16
Therefore, the probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.
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honestly so confused
Answers
Answer:
The first part put 6
second, put 2
third put 1
Step-by-step explanation:
it was just asking for the number, not anything else, so you would just add like terms.
and could u pls put me as the brainliest
Mi papa es el gerente de una empresa donde se fabrican 20 televisores de cada una de las siguientes medidad 20 26 32 37 y 40 pulgadas para el aniversario de la empresa rifaran entre sus 10 empleados dos televisores de 36 pulgadas y uno de 32 pulgadas
1- que probabilidad hay de que en la rifa obtengan una de 40 pulgadas?
2-Que probabilidad hay de que un empleado obtenga una television en la rifa
3-que cantidad de televisores maquila cada empleado
Answers
De acuerdo a la información, se puede inferir que la probabilidad de cada empleado para ganarse un televisor es de 0.3. Por otra parte, la cantidad de televisores que maquilla cada empleado es 2.
¿Cómo calcular la probabilidad de cada empleado de ganarse un televisor?Para calcular la probabilidad de cada empleado de ganarse un televisor utilizamos la siguiente formula:
P (probabilidad) = (casos favorables)/(casos posibles).De acuerdo a la formula, solo tenemos que remplazar los valores, el número de casos favorables es 3 debido a que hay 3 televisores en total el sorteo, y el número de casos posibles, es 10 debido a que 10 empleados están participando en la rifa, como se muestra a continuación:
P = 3 ÷ 10P = 0.3¿Cómo calcular cuántos televisores maquilla cada empleado?Para calcular cuántos televisores maquilla cada empleado debemos tener en cuenta que la empresa produce 20 televisores y que tiene 10 empleados. Entonces tenemos que dividir el numero de televisores en el número de empleados como se muestra a continuación:
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Caitlin has finished her schooling and training to be a dental hygienist. She has two job offers that she is considering.
Caitlin’s Job Offer Comparison
Job 1: Albuquerque, NM
Job 2: Ann-Arbor, MI
Salary
$54,000
$61,000
Benefits
$2,500 bonuses,
health insurance,
401K
Health insurance,
401K
Average Monthly Rent & Utilities
$925
$1,300
Which job would offer the best annual income considering the cost of living in each locale?
Job 2 is a better choice because the annual income after rent and utilities is $59,700 but that of job 1 is $55,575.
Job 2 is a better choice because the annual income after rent and utilities is $45,400 but the income for job 1 is $41,900.
Job 1 is a better choice because it costs $4,500 less per year to live there.
The jobs have equal annual incomes of $45,400 after rent and utilities so Caitlin should take the job in her favorite locale.
Answers
D) Caitlin should take the position in her preferred location because the annual salary is $45,400 after rent and utilities.
What is meant by annual income?To calculate your annual salary, multiply your gross income (before taxes) by the number of pay periods in a year. If an employee earns $1,500 each week, his or her annual income is $1,500 x 52 = $78,000.
Job 1 and Job 2 both generate the same or similar amount of income of $45,400 per year after additional expenses.
This means that Caitilin should choose her career based on the preferences of her neighboring neighborhood so that she can travel easily.
This is because moving to a more distant job location would result in no increase in her income, making it nonsensical to do so.
So, the correct answer is option D.
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Answer: D. edge 2023
The jobs have equal annual incomes of $45,400 after rent and utilities so Caitlin should take the job in her favorite locale.
Solve |5x + 15| = 10x. Identify the solution and an extraneous solution.
A. Solution: x= 3; extraneous solution: x=-3
B. Solution: x= 3; extraneous solution: X=-1
c. Solution: x= 1; extraneous solution: X=-3
D. Solution: ×= -1; extraneous solution: X=3
Answers
If 5x + 15 ≥ 0, then |5x + 15| = 5x + 15. The equation reduces to
5x + 15 = 10x
15 = 5x
x = 3
If instead 5x + 15 < 0, then |5x + 15| = -(5x + 15), and the equation becomes
-5x - 15 = 10x
-15 = 15x
x = -1
If x = 3, then |5x + 15| = 30 and 10x = 30, so x = 3 is a valid solution.
If x = -1, then |5x + 15| = 10 while 10x = -10, so x = -1 is the extraneous solution.
While cooking a stew, Jim used 2/3 of a shaker of salt and 7/12 of a shaker of pepper. How
much more salt did Jim use?
Answers
Answer:
he used one 1/12 more of salt.
Step-by-step explanation:
2/3 I know equals 8/12
And
7/12 = 7/12 so
You just do
8/12 - 7/12 = 1/12
anyone know the answer?
Answers
Answer:
I think it could be A
Step-by-step explanation:
Not 100% sure tho
10, 5, 5/2 Find the 6th term.
Answers
Answer:
Hey there!
Arithmetic sequences are made up of terms that are added or subtracted, and geometric sequences are made up of terms that are multiplied or divided.
Given this info, we can see that we go from 10 to -5. Because we know that this is geometric, we see that we must divide by -2 in our sequence.
We can see that this is true because -5/-2=5/2.
Now, we could simply continue dividing by negative two to get our answer, which is -5/16.
You could easily do that with a calculator, but if you had to find a term that was farther from the first term, that would take forever to do with a calculator, so there is an equation that you can use and plug in your numbers to find the answer quickly.
, where is the number of term in the sequence (6 in this problem), a is the first term of the sequence (10), and r is the common ratio (-1/2).
I hope this helps!
Step-by-step explanation:
Which set represents the same relation as the graph below?
A coordinate plane has 7 points. The points are (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4).
Answers
The set that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).
What is a Relation?
A relation is defined as a relationship between the input and output, which can be displayed on a graph on a coordinate plane.
From the graph as shown in the image attached below,
The set that has the same coordinate points as indicated on the graph is:
B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).
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Which of the following can be used to find the sum of the interior angles for
any regular polygon?
A. Multiply the number of sides by 180
B. Add 1 to the number of sides and multiply the sum by 180
OC. Divide the number of sides by 180
D. Subtract 2 from the number of sides and multiply the difference by
180
Answers
Solve the percent proportion. 7 is 35% of what number?
Answers
Answer:
35 ×x =7
100
35x=7
100
35x=700
35 35
x = 20.
HOPE IT HELPS,BRAINLIESTPLEASEIn a track field competition, A discus has a radius of 11 centimeters. What is the circumference, I centimeters, of the discus?
Answers
Given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.
What is the circumference of the discus?Note that; a circumference is the perimeter of a circle or ellipse.
It is expressed as C = 2πr
Where r is the radius and π is the constant pi ( π = 3.14 )
Given that;
Radius of the discus r = 11cmCircumference C = ?C = 2πr
C = 2 × 3.14 × 11cm
C = 69.08cm
Therefore, given the radius of the discus used in the track field competition, the circumference of the discus is 69.08cm.
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It costs $363 to make 90 bags of cotton candy and $440 to make 200 bags of cotton candy.
a) find the cost equation.
Answers
Answer:
363=90bags
then you look into it and say
440=200bags
What is the lowest common denominator of the following set of fractions:1/6, 13/27, 4/5, 3/10, 2/5?
Answers
The lowest common denominator of the set of fractions 1/6, 13/27, 4/5, 3/10, 2/5 is 270.
What is lowest common denominator?The lowest common denominator of LCD is least common multiple of denominators of the fractions.
given fractions:
1/6, 13/27, 4/5, 3/10, 2/5
taking the Prime factorization of denominator of the fractions
6 = 2x3x1
27 = 3x3x3x1
5 = 5x1
10 = 2x5x1
5 = 5x1
Therefore, lcm is 2x3x3x3x5 = 270
so, LCD is 270
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in a rectangle rent, or = 2x + 4 and ot = 3x + 1 , then the length rn is
Answers
Answer:
3
Step-by-step explanation:
Put both expressions equal to each other.
2x+4=3x+1
Solve:
2x+4=3x+1
4-1=3x-2x
3=1x
x=3
Cara is a high school student. On average, there are 26 students per class at her school, with a standard deviation of 3 students. What percentage of classes at Cara's high school will have between 20 students and 35 students?
A. 0.15%
B. 97%
C. 99%
D. 0.3%
Answers
Answer:
B. 97%
Step-by-step explanation:
20 students is -2 standard deviations away from the mean
35 is +3 standard deviations away from the mean
100 - 2.4 = 97.6
(2.4 is amount of data we are not using)
please refer to the standard deviation graph attached :)
Write an explicit formula for ay, the nth term of the sequence 39, 33, 27, ....
Answers
Answer:
ay = 39 -6(n -1)
Step-by-step explanation:
The explicit formula for an arithmetic sequence can be written by using the first-term value and the common difference in the generic formula.
__
The generic formula for the n-th term of an arithmetic sequence is ...
[tex]a_n=a_1+d(n-1)[/tex]
where a₁ is the first term of the sequence (39), and d is the difference between sequential terms (33-39 = -6).
Using the values for this sequence in the generic formula, we have ...
ay = 39 -6(n -1)
A triangle with an area of 60 square inches has a height that is 16 less than 6 times its base.
Find the base and height, in inches, of the triangle
Answers
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Tyshawn went shopping for a new pair of pants. Sales tax where he lives is 6%. The price of the pair of pants is $49. Find the total price including tax. Round to the nearest cent.
Answers
The total price of new pair of pants including tax will be $ 51.94.
What is the percentage?Everything is stated as if it was a fraction of a hundred in quantity.
Tyshawn went shopping for a new pair of pants.
Sales tax where he lives is 6%.
The price of the pair of pants is $49.
Then the total price of new pair of pants including tax will be
Total cost = 49 x (1 + 0.06)
Total cost = 49 x 1.06
Total cost = $ 51.94
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need answer asap!!!!!
how would i solve this?
Answers
The height of the building to the nearest tenth of a meter is; 13 m
How to make use of Cosine Rule?The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;
15/x = sin 36°
x = 15/sin 36
x = 25.52 m
Angle between that slant line and base of building is;
90 - tan⁻¹(1.5/14) = θ
θ = 83.88°
Remaining angle of the bigger triangle is;
180 - (36 + 83.88) = 60.12°
Thus, if the height of the building is h, then;
h/sin 36 = 25.52/sin 60.12
h = 13 m
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