Answer:1 over 5 to the 9th power (1 over 1953125).
Step-by-step explanation:
5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).
Answer:
1/5 to the 9 power
Step-by-step explanation:
In the given figure, measure HK= 50° and measure GKL is 50° which statement is true?
Answer: A
Step-by-step explanation:
The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.
Answer:
A
Step-by-step explanation:
Mrs. Allard asked her students to identify which of the polynomials below are in standard form and explain why.
1. 15x4 - 6x + 3x2 - 1
II. 12x3 + 8x + 4
III. 285 + 8x2 + 10%
Which student's response is correct?
Answer:
Only II. is written in standard form
Step-by-step explanation:
The three polynomials given are:
I. [tex]15x^4 - 6x + 3x^2 - 1[/tex]
II. [tex]12x^3 + 8x + 4[/tex]
III. [tex]285 + 8x^2 + 10%[/tex]
A polynomial is said to be in standard form when the variables are written in terms of descending powers i.e. the term with the highest power first, followed by the next and so on.
Examining the three polynomials I, II and III, there is only one which follows this rule and that is:
II. [tex]12x^3 + 8x + 4[/tex]
The term with the highest power (3) came first, followed by the term with the next degree of power (1) and the last term with degree of power as 0.
Hence, only II. is written in standard form.
Only the second polynomial, 12x3 + 8x + 4, is in standard form because its terms are arranged in descending order of degrees. The first polynomial is not in standard form due to the incorrect order of terms by degree. The third expression contains a percentage sign (%) and wasn't written in order of descending degree, hence it doesn't qualify as a polynomial in standard form.
Explanation:In mathematics, a polynomial is said to be in standard form when its terms are written in descending order by degree. The degree of a term is the exponent used in the term. Let's evaluate each option:
15x4 - 6x + 3x2 - 1: This polynomial is not in standard form because the terms are not arranged in descending order of degrees. Properly ordered, it would read 15x4 + 3x2 - 6x - 1.12x3 + 8x + 4: This is in standard form because the terms are arranged in descending order of degrees from 3 to 0.285 + 8x2 + 10%: This is not a polynomial in the standard sense of the word due to the presence of the percentage sign (%). Also, it was not written in descending order of degrees.Learn more about Polynomials in Standard Form here:https://brainly.com/question/32213698
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Suppose a car tire has a diameter of 32 inches. How many complete rotations will the tire make if it travels one mile
Answer: about 630.57 rotations per mile.
Step-by-step explanation: There are 1760 yards in one mile. 36 inches per yard. Convert miles to inches: 1760×36=63360
Figure the circumference of the tire: C=π×32 3.14×32=100.48=C
Divide the length of the mile by the circumference of the tire:. 63360/100.48 = 630.57 approximately.
In a lab experiment, 590 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 24 hours. How many bacteria
would there be after 13 hours, to the nearest whole number?
Answer:
There would be 859 bacteria after 13 hours.
Step-by-step explanation:
The population of bacteria after t hours is given by the following equation:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
The number of bacteria is able to double every 24 hours.
This means that [tex]P(24) = 2P(0)[/tex]. So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]2P(0) = P(0)e^{24r}[/tex]
[tex]e^{24r} = 2[/tex]
[tex]\ln{e^{24r}} = \ln{2}[/tex]
[tex]24r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{24}[/tex]
[tex]r = 0.0289[/tex]
590 bacteria are placed in a petri dish.
This means that P(0) = 590. So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(t) = 590e^{0.0289t}[/tex]
How many bacteria would there be after 13 hours, to the nearest whole number?
This is P(13).
[tex]P(t) = 590e^{0.0289t}[/tex]
[tex]P(13) = 590e^{0.0289*13} = 859[/tex]
There would be 859 bacteria after 13 hours.
Which formula is the correct formula to use when finding volume of a
cylinder?
Answer:
The last option.
Step-by-step explanation:
A packet of 8 pens costs £1.84 how much does each pen cost
Answer:
23p
Step-by-step explanation:
Pens : Cost
8 : £1.84
divide each by 8
1 pen = £0.23 = 23p
What value of x will make parallelogram ABCD a rhombus?
x = ?
Answer:
x=34
Step-by-step explanation:
3x-12=90
3x-12+12=90+12
3x=102
3x/3 = 102/
x=34
Answer:
x = 34Step-by-step explanation:
From the picture we have
AD = CD = BC = AB
it's enough to say that this quadrangle is a rhombus.
The diagonals in each rhombus are perpendicular and divide to half.
Therefore we have the equation:
3x - 12 = 90 add 12 to both sides
3x - 12 + 12 = 90 + 12
3x = 102 divide both sides by 3
3x : 3 = 102 : 3
x = 34
Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3? 3 (4 minus y) minus 7; 5 + 3 y 9 + y + 4 y minus 2 minus 3 y; Negative 2 y + 7 5 + y minus 2 minus 6 y + y; 8 y + 3 2 y + 7 + y minus 2 + y; 4 y + 5
Answer:
D
Step-by-step explanation:
i used calculator and i all did tast and i got it right
Answer:
The answer is D
Step-by-step explanation:
I did get it correct on edg 2021
I hope it helps
Have great day!
Which expressions are equivalent to -2(5x-3/4)? Check all that apply.
A. -2(5x)+(-2)(-3/4)
B. -10x-3/4
C. -10x+ 6/2
D. -10x+3/2
E. -10x-6/2
I WILL CHOOSE YOU FOR BRAINLIESS
Answer:
A
Step-by-step explanation:
-2(5x)+(-2)(-3/4) = -10x +6/4
-2(5x-3/4) = the same
Consider this equation:
–2x – 4 + 5x = 8
Generate a plan to solve for the variable. Describe the steps that will be used.
Answer:
Step-by-step explanation:
Answer:
Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself
-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)
-4 + 3x = 8 (Add 4 on both sides)
3x = 12 Then divide 3 into both sides to get x by itself
x = 4
Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.
*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE
What is mode to a data set
Answer:
The number that occurs the most frequently
Step-by-step explanation:
For example, in the number set below
1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 6, 85, 95
The number that shows up the most is 3, so 3 is the mode
144 students enter a spelling bee, but only 1/6 of the group will make into the semi-final round, and only 2 /3 that group will make into the final round. How many students will enter the final round of the spelling bee?
Answer:
16 students
Step-by-step explanation:
144 students enter a spelling bee contest.
Step 1
For the semi final round we are told that only 1/6 of the group will make it into that round.
This is calculated as
1/6 × 144/students = 24 students.
This means that only 24 students would make it into the semi final rounds.
Step 2
We are also told in the question that only 2/3 of THAT group would make it into the final round.
" THAT" group been referred to in the question means the number students that made it to the semi final round
This is calculated as
2/3 of that group( the group that made it to the semi finals)
= 2/3 × 24 students
= 16 students.
Therefore, the number of students that will enter the final round of the spelling bee is 16 students.
To calculate the number of students who will make it to the final round of the spelling bee, we first determine the semi-finalists by multiplying the total students by 1/6, and then the number of finalists by multiplying the semi-finalists by 2/3, resulting in 16 students.
Explanation:To solve this problem, we first need to determine the number of students who will make it into the semi-final round. Since only 1/6 of the total students will make it to the semi-final round, we can calculate that by multiplying the total students (144) by 1/6, which results in 24 students.
Next, we need to calculate the number of students that will make it into the final round from the semi-final round. This means we need to multiply the semi-finalists (24) by 2/3, which results in 16.
Therefore, 16 students will make it into the final round of the spelling bee.
Learn more about Calculating Students in a Competition here:https://brainly.com/question/32191464
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You open a business selling school supplies and tutoring sessions. In your first week, you had $9,000 in sales. You ran a promotion on tutoring sessions totaling $900 in discounts. Your returns equaled $150. Calculate total net sales.
Answer: total net sales = $7950
Step-by-step explanation:
The formula for determining total net sales is expressed as
total net sales = Gross sales - (sales returns + allowances + discount)
Gross sales means total sales.
From the information given,
Gross sales = $9000
Discounts = $900
Returns = $150
Allowances = 0(this is because it was not given)
Therefore,
total net sales = 9000 - (900 + 150)
= 9000 - 1050
total net sales = $7950
Answer:
7950
Step-by-step explanation:
Mei-ling invested $2,000 in a simple interest account for 3 years. At the end of 3 years, she had earned $150 in interest. What was the simple interest rate of the account?
Answer:
2.5%
Step-by-step explanation:
Simple Interest formula : V = P + P*r*t
I = Prt
$150 = $2000*r * 3
r = $150 / ($2000*3) = 5/200 = 0.025 = 2.5%
A rectangular prism has a link of 8 cm in width of 2 cm in a height of 5 cm what is the service around the rectangular prism
Answer:
132 square centimeters
Step-by-step explanation:
The surface area of a rectangular prism can be calculated with the formula [tex]2lh+2lw+2hw[/tex] where l represents length, h represents height, and w represents width. In this case, the equation is [tex]2\cdot 2\cdot 8 + 2\cdot 2\cdot 5 + 2\cdot 8\cdot 5=132[/tex] square centimeters. Hope this helps!
rry YUVIVU W
ulluDIUTUMIT
Question 3 of 10
2 Points
What would be the most logical first step for solving this quadratic equation?
x2 + 2x-11 = 4
Answer:
Subtract 4 from both sides
Step-by-step explanation:
Ap ex
please help me with this fast
Answer:
5
Step-by-step explanation:
A negative plus a negative equals a positive so the equation would be 4 1/3 + 2/3 and the sum is 5.
Hopes this helps :)
I got D is this correct?
Answer:no
Step-by-step explanation:
Answer:
C. x [tex]\geq[/tex] 0
Step-by-step explanation:
The answer is C, x is greater than or equal to zero, because that is the only answer that makes sense.
A) x can also be equal to 0, so this answer is wrong
B) x can't be -2, and it definitely can't be less than -2, so that's wrong.
D) Again, x can't be -2, or -1. It can't be any negative number because 4 * (a negative number) would put a negative sign under the square root. You can't take square roots of negative numbers.
Hope this is correct and that it helps you!
3x^2-8x+4 pls factor step by step
Felipe takes a commuter train to get to work. He pays a one-time fee to store his bike at the train station. He pays a
monthly fee for train passes. The total cost c for Felipe to travel to work for m months is given by the equation
80m + 50. What do the numbers 80 and 50 represent?
Answer:
80 represents the monthly fees and 50 represents the fixed one-time fee to store the bike at the train station.
The number 80 represents the monthly train pass cost, while 50 represents the one-time bike storage fee. Multiply the monthly fee by the number of months and add the bike storage fee to get total cost c for m months.
The number 50 is the initial, one-time cost to store Felipe's bike at the train station. To calculate the total commuting cost c for Felipe for m months, you multiply the number of months m by the monthly train pass cost, and then add the one-time bike storage fee.
The length of a rectangle is 5 inches more than the width. The area is 33 square inches. Find the length and width . Round to the nearest tenth if necessary.
Answer:
the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.
Step-by-step explanation:
The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as
A = L * W
As such, given that the length is 5 inches more than the width,
L = W + 5
33 = W(W + 5)
W² + 5W - 33 = 0
Using the formula method which states that
s = -b±√(b²-4ac)/2a
W = -5 ± √5² - 4(1)(-33)/2
= -5 ± 12.53/2
= 7.53/2 (since length cannot be negative)
= 3.755 inches
L = 3.755 + 5
= 8.755 inches
There are 91 eighth-grade students signing up for electives.
Of these 91 students, 68 sign up for the art, 31 sign up for
band, and 18 signed up for both. 10 Students are not signing
up for either art or band.
Let S = {all eighth students}
Let A = {students in Art}
Let B = (students in band)
PLS HELP!! I’LL GIVE U 5 stars
Answer:
A). 81 students
B). 18 students
C). 10 students
Step-by-step explanation:
Let S = {All students of 8th grade} = 91
A = {Students in Art} = 68
B = {Students in band} = 31
Part A : A∪B = A + B - A∩B
A∪B = 68 + 31 - 18
A∪B = 81
A∪B represents the total number of students enrolled in art and band.
Part B : A∩B = 18
A∩B represents the number of common students enrolled in art and band.
Part C: ~(A∪B) = S - A∪B
~(A∪B) = 91 - 81
~(A∪B) = 10
~(A∪B) represents the number of students enrolled neither in art nor in band.
What is the least common multiple of 7,13,14
Answer:
182
Step-by-step explanation:
You can start by realizing that 14 is 7*2, and that that is already a common multiple, meaning that you can forget about 7 entirely. Now, because 13 is prime, the least common multiple of 13 and 14 will just be 13*14=182. Hope this helps!
Answer:
182
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
which of these expressions equal 15 when x = 1/2 and y = 3. Choose all that apply
Answer:
WHERES THE PIC??
Step-by-step explanation:
Answer:
Btw I got this for home work.
Step-by-step explanation:
Find m∠7 if m∠8 = 119°
m∠7 = ???
Answer:
119
Step-by-step explanation:
it will be the same as 8 because they are adjacent..
how much will you have to invest to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.
$7,185.50
$5,020.71
$1,016.90
$4,957.33
Answer:
You have to invest $5,020.71 to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.
Step-by-step explanation:
Let the principal be x
Amount = $6000
Time = 4 years 3 months = [tex]4 years +\frac{3}{12} years = 4.25 years[/tex]
Rate of interest = [tex]4 \frac{1}{5}\% = \frac{21}{5}\%[/tex]
No. of compounds per year = 12
Formula:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
[tex]6000=P(1+\frac{21}{500 \times 12})^{12 \times 4.25}[/tex]
[tex]\frac{6000}{(1+\frac{21}{500 \times 12})^{12 \times 4.25}}[/tex]=P
P=$5,020.71
Hence You have to invest $5,020.71 to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.
A total of 13.2 inches of snow fell during a snowstorm that lasted 5.5 hours. The same amount of snow fell each hour of the storm. How many inches of snow fell each hour? Enter your answer as a decimal in the box.
Answer:
2.4 inches per hour
Step-by-step explanation:
A total of 13.2 inches of snow fell during a snowstorm that lasted 5.5 hours and the same amount of snow fell each hour of the storm.
This means that there was a constant rate of snow fall.
To find how many inches of snow fell each hour, we divide the amount of snow fall by the amount of time that the snowstorm lasted.
That is:
[tex]R = \frac{13.2}{5.5}[/tex]
R = 2.4 inches per hour
This means that 2.4 inches of snow fell each hour during the snowstorm.
Answer:
2.4 inches
I did the quiz
Which shape is always a parallelogram?
A. A rectangle because it has 2 pairs of parallel sides.
B. A quadrilateral because it has 4 sides.
C. A trapezoid because it has 1 pair of parallel sides.
D. A hexagon because it has 3 pairs of parallel sides.
Answer:
the answer is A because it has 2 sides of parallel line
Step-by-step explanation:
The correct shape which is always a parallelogram is,
⇒ A rectangle because it has 2 pairs of parallel sides.
We have to given that,
To find shape which is always a parallelogram
Since, A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Hence, We can say that;
Rectangle shape is always a parallelogram.
Thus, The correct shape which is always a parallelogram is,
⇒ A rectangle because it has 2 pairs of parallel sides.
Learn more about the rectangle visit:
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Help out please!!!!!!
Answer:
6.4
Step-by-step explanation:
A^2+B^2=C^2
(5*5)+(4*4)=C^2
25+16=[tex]C^{2}[/tex]
41=[tex]C^{2}[/tex]
[tex]\sqrt{41}[/tex]=[tex]\sqrt{C^{2} }[/tex]
c= 6.4
Carmen simplified the expression (4y+8x+6)+25+(4x-6y+7) The coefficient of the variable y In her simplified answer is
Answer:
Step-by-step explanation:
(4y + 8x + 6) + 25 + (4x - 6y + 7) =4y + 8x + 6 + 25 + 4x - 6y + 7
= 4y -6y + 8x + 4x + 6 + 25 + 7
= -2y + 12x + 38
Coefficient of y = -2