Answer:
[tex]-0.04b^{19}[/tex]
Step-by-step explanation:
We have the expression [tex](-0.2b^6)^3\times 5b[/tex] and we want to rewrite/simplify this to a monomial (only one term).
First, let's expand. We can use the power of a product exponent property, where [tex](ab)^x=a^xb^x[/tex]
We have:
[tex](-0.2b^6)^3\times 5b[/tex]
Using the above property, this will be:
[tex]=(-0.2)^3(b^6)^3\times5b[/tex]
(-0.2) cubed is -0.008. So, this becomes:
[tex]=-0.008(b^6)^3\times 5b[/tex]
We can now use the power of a power property, where [tex](x^a)^b=x^{ab}[/tex].
Therefore, this will give us:
[tex]=-0.008b^{6\times 3}\times 5b[/tex]
Evaluate:
[tex]=-0.008b^{18}\times 5b[/tex]
Notice that 5b is the same as 5 times b to the first power. So:
[tex]=-0.008\times b^{18}\times5\times b^1[/tex]
We can rearrange this to get:
[tex]=-0.008\times 5\times b^{18}\times b^1[/tex]
When we multiply exponents with the same base, we will simply add the exponents. -0.008 times 5 is -0.04. Therefore, this yields:
[tex]=-0.04b^{18+1}\\=-0.04b^{19}[/tex]
Therefore, our final answer is [tex]-0.04b^{19}[/tex].
And this is indeed a monomial since this only has one term.
f(x)=2x^2-x+1 find the vertex
The Answer fam is (1/4,7/8)
A bookstore marks up the price of a book by 40% of the cost from the publisher. Therefore, the bookstore's price to the student, P(x) (in $) after a 7.5% sales tax, is given by P(x) = 1.075(x + 0.40x), where x is the cost of the book from the publisher. Evaluate P(60) and interpret the meaning in the context of this problem
Answer:
This means that, when the price of book from publisher is $60, the bookstore will sell it $88 to the students.
Step-by-step explanation:
Solution:
The cost of book from publisher = 40%
Sales tax = 7.5%
Price of books to the student = p(x) = 1.075x + 0.40x
Where, x is cost of book.
P (60) =?
We know that,
P(x) = 1.075 + 0.40
= 1.475%
=148
Given, Cost of book, x = 60
P (60) = 148 – 60
= 88
This means that, when the price of book from publisher is $60, the bookstore will sell it $88 to the students.
Your math teacher tells you that the next test is worth 100 points and contains 38 problems. Multiple choice questions are worth 2 points each and word problems are worth 5 points each. How many of each type of question are there?
eight 5 and thirty 2
Step-by-step explanation:
8 times 5 = 40 and then 30 times 2 = 60
40+60= 100
What is the value of x
Answer:
180-45=135
2x-5=135
2x=140
x=70
Step-by-step explanation:
A bag contains 5 red, 5 blue, 4 green, and 2 yellow marbles. What are the odds of drawing a green marble? PLEASE ANSWER ASAP!!!! if you could please explain how
1 point
1:2
3:5
1:3
4:10
Answer:
1:3
Step-by-step explanation:
12 marbles that are not green. Make it a fraction of 4/12--> which can be simplified to 1/3 = 1:3
What is the value of log16 4?
4
1/2
1/4
2
Answer: 1/2
Step-by-step explanation:
Which fractions are equal to 2/3
Answer:8/9
Step-by-step explanation:if you divide by 2 it will eventually get to the 2/3
Find the slope of the line
Make sure the answer is a reduced fraction
(4,7) (9, 10)
Answer:
It is 1, to 2
Step-by-step explanation:
26 points and Brainliest
Answer:
A. √34
Step-by-step explanation:
Lets find the decimal form of al the answer choices (round to the nearest hundredth).
√34 ≈ 5.83
√24 ≈ 4.90
√68 ≈ 8.25
√44 ≈ 6.63
On the number line, we see that the red dot is between the numbers 5 and 6. The only number that is between those numbers is 5.83 which is √34.
Best of Luck!
Claire spent 20 days in Spain she spent 1/4 of the days in Madrid how many days did Claires spend in Madrid
Answer:
the answer is 5 days
Step-by-step explanation:
1/4 of 20 is 5
Harper knows he is 100 yards from school. The map on his phone shows that the school is 1/3 inch from his current location. If Harper’s current location is 3 inches from home on the same map, how far is Harper from home?
Helpppp
Answer:
4 7/17 yeards or 4.412 yards approximately if the map shows the distance as 3 inches.
Step-by-step explanation:
The actual distance of the Harper from the school = 50 yards. According to the map, the distance from the school = 34 inches. We could say 34 inches represents 50 yards. So, 1 inch could be represented by 50/34 = 25/17 yards. In order to find the actual length of 3 inches in yards, we need to multiply 1 inches value of yards by 3.Therefore, 3 inches = 3* 25/17 = 75/17 = 4 7/17 yeards in decimals 4.412 yards approximately. Therefore, Harper from home is 4 7/17 yeards or 4.412 yards approximately if the map shows the distance as 3 inches.
A chef is planning for a large dinner party and thinks that 2 out of every 6 guests will order salad. If there are 360 guests, how many salads should the chef prepare?
Answer:
120 salads
Step-by-step explanation:
2/6 = 1/3 guests = 120/360
Margie I bought 5 shirts on sale for $40 what is the unit cost
Answer:
the answer will be 8
Step-by-step explanation:
40÷5=8
Answer:
$8 unit cost I think
512 students and teachers attended a play in the auditorium. There were 307 teachers in attendance.
What percent of the audience is a teacher? What percent is a student?
Answer:
60% for teachers and 40% for students
Step-by-step explanation:
Calculator lol
Answer:
teachers: 59.96
students: 40.03
Reasoning Which number below comes first when the numbers are listed from least to greatest?
Explain. Then write the numbers in order from least to greatest.
[tex] \frac{1}{3} \: \: - 1 \: \: \sqrt{7} \: \: - \frac{9}{2} \: \: 1.5[/tex]
Answer:
Your order will be √7, 1.5, 1/3, -1, and -9/2
Step-by-step explanation:
7 squared would be 2.64. 1 divided by 3 would be .333. Negative 9 over 2 would be -4.5.
The average weight of the top 5 fish at a fishing tournament was 13.3 pounds. Some of the
weights of the fish are shown in the table.
Answer:
15.4 lbs
Step-by-step explanation:
Since the average of the top five is 13.3 this says that:
total weight of all the fish / 5 = 13.3 lbs
Therefore, the total weight of all five fish is equal to:
13.3 * 5 = 66.5
With this number, I subtracted all the other weights and found that the missing weight was:
15.4lbs.
Therefore, Wayne S. had the biggest fish weighing 15.4lbs
Answer:
15.4
Step-by-step explanation:
(14.2 + 13.4 + 12.1 + 11.4 + X) / 5 = 13.3
(51.1 + X) / 5 = 13.3
Cross:
51.1 + X = 66.5
then X = 66.5 - 51.1
= 15.4
how do i find the value of x on this line?
HELP pLZZZX I I need it really bad
Answer:
1) 5
2) 7
3) 11
4) 4
Step-by-step explanation:
ANSWER THREE THROUGH FIVE , ILL GIVE YOU BRAINLIST!!!
Answer:
Step-by-step explanation:
3) diameter of penny = 19 mm
r = 19/2 = 9.5 mm
Area of penny = πr²
= 3.14 * 9.5 * 9.5
= 283.385
= 283.39 mm²
Diameter of nickel = 21 mm
r = 21/2 = 10.5 mm
Area of nickel = πr²
= 3.14 * 10.5 *10.5
= 346.185
= 346.19 mm²
346.19 - 283.39 = 62.8 mm²
Area of Canadian nickel is greater than Canadian penny by 32.6 mm²
4) r = 12 mm
Area of circle = πr²
= 3.14 * 12 * 12
= 452.16 mm²
5) r = 20 cm
Area of circle = πr²
= 3.14 * 20 * 20
= 1256 cm²
A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 410 minutes, the monthly cost will be $71.50. If the customer uses 720 minutes, the monthly cost will be $118. Find a linear equation for the monthly cost of the cell plan as a function of x, the number of monthly minutes used.
Answer:
Linear equation for the monthly cost of the cell plan is [tex]10+0.15x[/tex]
Step-by-step explanation:
Let u denotes a flat monthly fee and v denotes amount charged per minute.
As the monthly cost is $71.50 if a customer uses 410 minutes,
[tex]71.50=u+410v[/tex] (i)
As the monthly cost is $118 if a customer uses 720 minutes,
[tex]118=u+720v[/tex] (ii)
Subtract (i) from (ii)
[tex]118-71.50=u+720v-u-410v\\46.5=310v\\v=\frac{46.5}{310}\\ v=0.15[/tex]
Put [tex]v=0.15[/tex] in (i)
[tex]71.50=u+410(0.15)\\71.50=u+61.5\\u=71.50-61.5\\u=10[/tex]
As x denotes the number of monthly minutes used,
linear equation for the monthly cost of the cell plan is [tex]10+0.15x[/tex]
The sum of two numbers is 4 times their difference. If one exceeds the other by 8, what are the numbers?
Answer:
12, 20
Step-by-step explanation:
Let the two numbers be x and y, where x > y
According to the given information:
x + y = 4(x - y)
x + y = 4x - 4y
y + 4y = 4x - x
5y = 3x
[tex] y = \frac{3}{5}x.... (1)[/tex]
Since, one number exceeds the other by 8.
[tex] \implies x = y + 8\\\\
\implies y = x - 8.....(2)\\\\[/tex]
From equations (1) & (2)
[tex]x - 8 = \frac{3}{5} x \\ \\ 5(x - 8) = 3x \\ \\ 5x - 40 = 3x \\ \\ 5x - 3x = 40 \\ \\ 2x = 40 \\ \\ x = \frac{40}{2} \\ \\ \huge \purple{ \boxed{\implies x = 20}} \\ \\ \implies \: y = x - 8 = 20 - 8 \\ \\ \huge \pink{ \boxed{ \implies \: y = 12}}[/tex]
18x-2 = 17x +2 help
Answer:
4
Step-by-step explanation:
18x-2 = 17x +2
⇒18x-17x - 2 = 2
⇒x - 2 = 2
∴ x = 4
I NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!
what is the vaule -27-(-12)-3
PLEASE I WILL MARK BRAINLIST ANSWER PLEASE
Answer:
What you chose is correct.
Step-by-step explanation:
5+1=6
3+1=4
6 chicken sandwichea and 4 veggie sandwiches
i need help with my homework plssssss stella drank 2/3 of her water on monday and on tuesday she drank 3/7 how much alltogether write as a mixed number
Answer:
1 2/21
Step-by-step explanation:
2/3 + 3/7
14/21+ 9/21= 23/21
Crystal baked 54 muffins for her family and friends. Her friends take 1/6 of the muffins. How many muffins does she have left? Of the muffins that she has left, her family took 2/5 of them. How many muffins did her family take? After her friends and family have taken their muffins, Crystal eats 1/3 of what is left. How many muffins did Crystal eat?
Answer:
she has 45 muffins left
her family took 18 muffins
crystal ate 9 muffins
Step-by-step explanation:
54 × 1/6 = 9
54 - 9 = 45
45 x 2/5 = 18
45 - 18 = 27
27 x 1/3 = 9
evaluate function expressions
3•f(-4)- 3•g(-2)
Answer:3(-4f-g(to the power of -2)
Step-by-step explanation:
3(-fx4-g(to the power of -2) reorder and get solution.
Answer:
-12f + 6g
Step-by-step explanation:
f x -4 then 3 x -4f which you get -12f.
g x -2= -2g then -2g x 3= -6g.
Then we take the subtraction sign in the middle and make the equation simpler.
Sally and Anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Each woman's total is modeled with this expression: 9+1.34+1/2(3.50+1.74) How would you simplify the expression? Explain your steps.
Answer:
12.91
Step-by-step explanation:
We are told that Each woman's total is modeled with this expression:
9 + 1.34 + 1/2(3.50 + 1.74)
To solve this we will use the BODMAS acronym.
So the first operation will be to solve what's in the bracket to give;
9 + 1.34 + 1/2(5.14)
Let's now carryout the multiplication of the bracket to give;
9 + 1.34 + 2.57
Using the addition operation now gives us: 12.91
Answer: First, add the decimals in the parentheses. Next, multiply that number by 0.5. Finally, add all the decimal numbers.
A muffin recipe calls for 1 1/4 cups of flour for every two in the recipe. How many cups of flour will you need for a recipe that uses 5 eggs?
Answer: 3 and 1/8 cups
Step-by-step explanation:
I have to solve this but the answer was there so why not answer this
Convert 13 over 2 to a decimal using long division.
Answer:
6.5
Step-by-step explanation:
You divide.
So like 13 / 2 is 13 divided by 2 and is 6 remainder 1.
You can write this as 6 1/2.
1/2 is 0.5
So 13/2 is 6.5