Find each product. A. 2/5 • (-10)
B. -8 • (-3/2)
C. 10/6 • 0.6
D. (-100/37) • (-0.37)
Answer:
A. -4
B. 12
C. 1
D. 1
Step-by-step explanation:
change the whole number to fractions and multiply using fraction multiplications.
What is the product?
Answer:
15a^5b^15
Step-by-step explanation:
3*5 = 15
when multiplying exponents with the same base, you just add the exponents together. so 2+3 = 5 and 7+8 = 15
Answer:
15a⁵b¹⁵
Step-by-step explanation:
( 3a²b⁷)(5a³b⁸)
remove unnecessary parantheses
3a²b⁷ × 5a³b⁸using exponent rule
15a²+³ × b⁷+⁸calculate the product
15a⁵b¹⁵According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
ORX)-(3x? -x-5)(2x-5
1 x) = (3x* +2x)"
o 9x)= (4x2-7)
OM) - Bx - 4y - 1) (3,2-4
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Explanation:
For each expression in the parenthesis of choice A, focus only on the leading terms. Those would be the terms to the very left. The leading terms 3x^2 and 2x^6 multiply to 6x^8. This is the leading term of the final expansion and it's of degree 8. Any degree 8 polynomial will have 8 roots according to the fundamental theorem of algebra. Some of those roots may be complex numbers, or they may be purely real numbers.
Choice B can be ruled out because the leading term 3x^4 is raised to the 4th power to get (3x^4)^4 = 81x^16 as the leading term of the final expansion. This polynomial has 16 roots, but we want 8 roots instead.
Choice C is a similar story to choice B. In this case, we have (4x^2)^3 = 64x^6 as the leading term when you expand everything out. This 6th degree polynomial has 6 roots.
And finally, choice D can be ruled out as well. We follow the same steps as choice A. The leading terms from each parenthesis group multiply to 6x^8*3x^2 = 18x^10 showing we have 10 roots (due to the 10th degree polynomial).
You need a 70% alcohol solution. On hand, you have a 420 mL of a 85% alcohol mixture. How much pure water will you need to add to obtain the desired solution?
Answer:
Pure water =74.1 mL
Step-by-step explanation:
You need 420 mL of a 70% alcohol solution.
420 mL of solution and 70% of it should be alcohol.
So,
420 * 70/100 mL
= 420 * 0.7
= 294 mL of alcohol and the rest should be water.
On hand, you have a 85% alcohol mixture.
The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:
Let
y = alcohol solution needed
85% of y = 294
85/100 * y = 294
y = 294 ÷ 85/100
y = 294 × 100/85
y = 29,400/85
y = 345.88235294117
Approximately, 345.9mL
The rest of 420 mL solution has to be pure water
Pure water = 420 mL - 345.9mL
= 74.1 mL
Pure water =74.1 mL
Use the probability model listing all 6 possible outcomes
when rolling a six-sided number cube. What is the
probability of rolling 5 or greater?
A) 2/3
B) 5/6
C) 1/3
D) 1/6
Answer:
C) 1/3
Step-by-step explanation:
if you have a 6 sided cube you have 1/6 of a chance of landing on any number.
But you only have a 2/6 chance of landing on 5 or greater.
2/6 is also equal to 1/3
Would appreciate any help!
Wats the volume of this prism
PLEASE HELP!!!!
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .
Answer:
2 in a half 6 player games and 6 and half 2 player games. hope this helps
Step-by-step explanation:
There were 7 two-player games and 6 six-player games played
What are system of equation?
A collection of two or more equations that share the same variables is known as a system of equations. The values of the variables that make all of the equations in a system of equations true are the solution to the system of equations. A point of intersection on the graphs of the equations of a system is known as the solution. A system of equations' solution set is the collection of all possible answers.
Solution:
Given:
Total games = 13
Athletes participated = 50
let x denote the number of 2-player games played and
y denotes the number of 6-player games played
Hence the equations we get are:
x ₊ y = 13 ........eq(1)
2x ₊ 6y = 50 this can be further reduced as
x ₊ 3y = 25 ......eq(2)
Now, solving both the equations using elimination method then we get :
₋2y = ₋12
y = 6
Here we can notice that x is eliminated.
Now substitute y value in eq(1) then we get x as 7.
Hence total 13 games were played out of which 7 two-player and 6 six-palyer games were played.
Learn more about "System of equations" here-
brainly.com/question/2226590
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At the frozen yogurt shop, Colin pays $3.28 for his treat, which weighs 8 and 1/2 ounces. What is the unit cost (dollars per ounce)? Round to the nearest cent. Write your answer as a decimal
Answer:
39 cents
Step-by-step explanation:
3.38÷8.5=0.39
There are 48 students in a speech contest. Yesterday, 2/3 of them have their speeches. Today, 7/8 of the remaining students give their speeches. How many students still haven't given their speeches?
Answer:
2 students
Step-by-step explanation:
Given that
There are 48 students out of which 2 by 3 have their speeches and the remaining of 7 by 8 give their speeches
We need to find the no of students who haven't given their speeches
So,
= 48 × 2 ÷ 3
= 32
Now
= (48 - 32) × 7 ÷ 8
= 14
So, the no of students still haven't given their speeches is
= 48 - 32 -14
= 2 students
A student said that a pair of complementary angles cannot also be adjacents. Is the student correct?
Answer:
No
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90 degrees. They may or may not be adjacent.
There can be two adjacent angles inside a 90-degree angle, so therefore, there can be complementary adjacent angles.
The student is not correct.
Ranking correct answer brainliest :)
Answer:
115
Step-by-step explanation:
angle DEF is an inscribed angle and arc DF is the arc it intercepts
if you didn't know an inscribed angle is equal to half the measure of the arc it intercepts
Hence angle DEF = 1/2 of arc DF
If arc DF = 230 then angle DEF = half of 230 or 230/2
230/2=115
Hence angle DEF = 115
What is the area of the square above
A. 44 square centimeters
B.88 square centimeters
C.121 square centimeters
D.242 square centimeters
Step-by-step explanation:
A 44 square cantimeters
Use SOH CAH TOA to find the missing side
b. 9.2
Step-by-step explanation:
cos(52) × 15 gives you the adjacent which is 9.2
Can someone help me answer this question?
Answer:
[tex] \frac{2}{4} , \frac{3}{4} \\ 1 \frac{2}{4} \\ 2 \frac{1}{4} [/tex]
someone please help me!!
Answer:
y= -3x+5
Step-by-step explanation:
It's kind of hard to see but I'm going to assume it looks like
y-2=(1/3)(x-1)
Let's start by converting this into slope-intercept form
y-2=x/3-1/3
y=x/3+2/3
One line is perpendicular to another line if their slopes are negative reciprocals of each other
our slope now is 1/3 which means its negative reciprocal is -3
so we have
y= -3x+b
Plug in the required coordiante to solve for b
2= -3(1)+b
2= -3+b
b= 5
put it together to get
-3x+5
Find measure of angles B, E, D and C and the length of BC
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area
Answer:
29.4 cm^2
Step-by-step explanation:
We can use a proportion to find the height:
120 : 100 = x : 7
x = (120 *7)/100 = 8.4 cm
Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2
Answer:
29.4cm²
Step-by-step explanation:
First we are going to find 120% of 7.
7 × [tex]\frac{120}{100}[/tex] = 8.4 cm
Therefore, 8.4 cm is the height.
Area = [tex]\frac{1}{2}[/tex] Base × Height
= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²
45 – (–32) + (–12) – |–7|
Answer:
Simplify the expression.
58
Step-by-step explanation:
if ab is parallel to cd and slop of ab is -3 what is the slope of cd
Answer:
-3
Step-by-step explanation:
Parallel lines share the same slope. Therefore, the slope of cd is -3.
An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.
Calculate the upper bound of the perimeter of this triangle.
Answer:
15.5 cm
Step-by-step explanation:
Since it's corrected to the nearest centimeter, the place value of the units place is 1.
1/2 = 0.5
Upper bound = 15 + 0.5 = 15.5 cm
Hope this helps!
A party rental company has chairs and tables for rent the total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3 chairs and 5 tables is $57 what is the cost to rent each chair and each table
Answer:
Let C = cost to rent each chair
Let T = cost to rent each table
4C + 8T = 73
2C + 3T = 28
Multiply the 2nd equation by (-2) and then add the equations together
4C + 8T = 73
-4C - 6T = -56
2T = 17
T = 17/2 = 8.5
Plug this in to the 1st equation to solve for C
4C + 8(17/2) = 73
4C + 68 = 73
4C = 5
C = 5/4 = 1.25
So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
A bakery offers a sale price of $3.00 for 4 muffins. What is the price per dozen?
Answer:
9 dollars.
Step-by-step explanation:
A dozen is 12.
12/4 = 3
$3 * 3 = $9
Step-by-step explanation:
3×4=12. 12 is a dozen. $3=4 muffins. $6=8 muffins. 9=12 muffins . so $9 for a dozen
Answer this please! No links please
Answer:
the arc length is
[tex]2\pi.14. \frac{45}{360} = \frac{7\pi}{2} [/tex]
=> B
Keith and his little brother, Sean, carried the bags of groceries into the house after their
grandmother went shopping. Because Keith is older, he carried 3 times as many bags as
Sean.
Pick the diagram that models the ratio in the story.
Keith
Sean
Keith
Sean
If Keith carried 6 bags of groceries, how many bags were there altogether?
bags
Answer:
8 bags altogether
Step-by-step explanation:
Again, without a photo, I can't choose the diagram. Very sorry.
k is Keith, s is Sean
k = 3s
substitute in bags Keith carried and solve for s
6 = 3s
divide both sides by 3
s = 2
Keith carried 6, Sean carried 2,
6 + 2 = 8 bags total
What is the area of the irregular polygon shown below?
Answer:
86 sq units
Step-by-step explanation:
it is the because:
18*4=72
3.5*4/2=7
7+7+72=86 sq units
can someone pls help for brainlest
Answer:
455 square kilometers (km2)
Step-by-step explanation:
Step 1: Find the area of the white square: 11 km x 11 km= 121 km2
Step 2: Find the area of the green square: 24 km x 24 km= 576 km2
Step 3: Subtract the white square from the green square: 576-121= 455
Step 4: The answer is 455 square kilometers (km2). Hope this helped!
For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the smartphone users, 80% use Venmo. Assume that having a device made by Apple and owning a smartphone are independent. A consumer who makes purchases online is selected at random, what is the probability they have an Apple device or own a smartphone (or both)? Enter your answer as a decimal to two places, and include the leading zero. For example, 0.12 would be a valid format.
Answer:
The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94
Step-by-step explanation:
The percentage of costumers that have a device made by Apple = 60%
The percentage of customers that own a smartphone = 85%
The percentage of customers that use Venmo = 80%
The percentage out of the smartphone users that use Venmo = 80%
The probability both independent events A and B occurring = P(A) × P(B)
The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)
Therefore, the probability of A or B or both occurring is given as follows;
P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)
Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;
P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94
Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94
Which of the following is the function F(x) if F^-1(x) = x+4/11?
A. F(x) = 11x - 4
B. F(x) =X-4/11
C. F(x) = 11(x-4)
D. F(x) = 11x +4
Answer:
B. F(x) =X-4/11
Step-by-step explanation:
We are given the inverse function;
f^(-1)(x) = x + 4/11
Thus means, x was replaced with y and vise versa. Thus;
x = y + 4/11
Lets make y the subject;
y = x - 4/11
Thus,in inverse of a function we replace y with f(x) for the original function or f^(1)(x) for the inverse.
Thus, putting f(x) for y gives;
f(x) = x - 4/11
Which function is increasing at the highest rate?
A.
x 1 2 3 4 5
g(x) -5 -4 -3 -2 -1
B.
C.
A linear function, f, with an x-intercept of 8 and a y-intercept of -4.
D.