The final answer is 1/9
What is Simplify?
Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/ fraction / problem in a simpler form. It makes the problem easy with calculations and solving.
Given the question:
2/9 . 4/8
Let's start the calculation:
2/9 x 4/8
2/9 x 1/2
=1/9
So, The final answer is 1/9
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70 times 70 equal what
Answer:
4900
Step-by-step explanation:
70x70=4900
In triangle ABC the m
Answer: Side C, Side B, Side A
Step-by-step explanation:
m<A=36 degrees
m<C=80 degrees
A+B+C=180 degrees
36+B+80=180
116+B=180
116-116+B=180-116
B=64 ==> m<B=64 degrees
Greatest to least: Side C, Side B, Side A
The spinner is divided into 8 equal sections.
b. If the arrow lands on a number, what is the probability that it will land on an odd number?
The probability for the arrow that land in the odd number is 1/2.
Probability:
Basically, the word probability define the possible way of occurring the event.
Given,
The spinner is divided into 8 equal sections.
Here we need to find if the arrow lands on a number, what is the probability that it will land on an odd number.
Let us consider that the spinner has 8 equal-sized sections numbered 1 to 8.
Since the sections have equal size, each section is equally probable.
The probability of falling on each section is therefore 1/8.
We know that, in the 8 sections,
There are four odd numbered sections.
Hence, probability is
=> 4/8
When we simplify it,
=> 1/2
Therefore, the probability for the arrow that land in the odd number is 1/2.
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What is the answer to -7/8-(-3/16)
Answer:
-11/16
Step-by-step explanation:
based on calculator
An employee earns $
20.25
per hour after receiving a
8
% raise. What was the employee's hourly pay before raise? Round your answer to the nearest cent.
The employee's pre-raise salary was $ ____
The employee's pre-raise salary was $18.75
What was the employee's hourly pay before raise?The given parameters are
New hourly pay = $20.25
Raise = 8%
The new hourly pay of the employee is calculated using
New hourly pay = Pre-raise salary * (1 + raise)
This gives
20.25 = Pre-raise salary * (1 + 8%)
Divide both sides by 1 + 8%
Pre-raise salary = 18.75
Hence, the employee's pre-raise salary was $18.75
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A cone 4.5 centimeters high with a radius of 3 centimeters. Label B is pointing to the circular base of the cone.
The volume of the cone isV = 42.41[tex]Cm^{3}[/tex].
In order to calculate the volume of the solid, you use the following formula:
where
r: radius of the circular base of the cone = 3 cm
h: height from the circular base to the peak of the cone = 4.5 cm
You replace the values of r and h in the formula for the
volume V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex] [tex](3cm)^{2}[/tex]4.5 =42.411 [tex]cm^{3}[/tex] = 42.41 [tex]cm^{3}[/tex]
Hence, the volume of the cone is 42.41 [tex]Cm^{3}[/tex]
Volume may be a measure of occupied three-dimensional space. it's often quantified numerically using SI derived units (such as the cubic meter and liter) or by various imperial units (such as the gallon, quart, cubic inch). The definition of length (cubed) is interrelated with volume. the quantity of a container is generally understood to be the capacity of the container; i.e., the quantity of fluid (gas or liquid) that the container could hold, instead of the amount of space the container itself displaces.In past , volume is measured using similar-shaped natural containers and afterward , standardized containers. Some simple three-dimensional shapes can have its volume easily calculated using arithmetic formulas. Volumes of more complicated shapes are often calculated with integral calculus if a formula exists for the shape's boundary.
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Five years ago, Lucia’s age was 1/3 the age she will be in eleven years. How old is Lucia now? Enter an integer.
Answer:
13 years old
Step-by-step explanation:
Let the age now be = [tex]x[/tex]
Age 5 years ago = [tex]x - 5[/tex]
Age 11 years from now = [tex]x + 11[/tex]
[tex]x - 5 = \frac{1}{3}(x+11)[/tex]
[tex]x - 5 = \frac{1}{3}x + \frac{11}{3}[/tex]
[tex]x - \frac{1}{3}x = \frac{11}{3} + 5[/tex]
[tex]\frac{2}{3}x = \frac{26}{3}[/tex]
[tex]x = \frac{26}{3}/\frac{2}{3}[/tex]
[tex]x = 13[/tex]
Expand each binomial. (p+q)⁶
The binomial expansion of the given expression is:
p⁶ + q⁶ + 8p⁵q + 17p⁴q² + 20p³q³ + 11p²q⁴ + 4pq⁵
What is a polynomial?A polynomial is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms.
Depending on the number of terms it can be :
monomialbinomialtrinomialWe solve first by perfect square trinomial, then we apply the distributive property.
(p + q)⁶ = (p + q)²(p + q)²(p + q)²
(p + q)²= p² + 2pq + q²
(p² + 2pq + q²)(p² + 2pq + q²)p⁴ + 2p³q + p²q² + 2p³q + 4p²q² + 2pq³ + q²p² + 2pq³ + q⁴
p⁴ + 4p³q + 6p²q² + 2p³q + 2pq³ + q⁴
(p⁴ + 4p³q + 6p²q² + 2p³q + 2pq³ + q⁴)(p² + 2pq + q²)
p⁶ + 4p⁵q + 6p⁴q² + 2p⁵q + 2p³q³ + p²q⁴
+( 2p⁵q + 8p⁴q² + 12p³q³ + 4p⁴q² + 4p²q⁴ + 2q⁵p)
+(p⁴q² + 4p³q³ + 6p²q⁴ + 2p³q³ + 2pq⁵ + q⁶)
p⁶ + q⁶ + 8p⁵q + 17p⁴q² + 20p³q³ + 11p²q⁴ + 4pq⁵
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Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.
What expression could she write to determine the perimeter of the triangle if s represents the length of the shortest side? (Recall that perimeter is the distance around a shape.)
will mark brainliest for correct answer
Answer:
3rd one
Step-by-step explanation:
My mom is a teacher lol
quality real bad cause of the computer but can someone find the answer?
The coordinates of the vertices after a 270° counterclockwise rotation around the origin is done are:
S' - (0, -7)U' - (1, -1)T' - (6, -7)How to rotate 270° counterclockwise around the origin?When you rotate the vertices of a shape 270° counterclockwise rotation around the origin, then the coordinates change from (x, y) to (y,-x) where x and y are flipped and x becomes negative.
The coordinates after the 270° counterclockwise rotation around the origin are:
S = (7, 0)
S' = (0, -7)
U = (1, 1)
U' = (1, -1)
T = (7, 6)
T' = (6, -7)
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a venn diagram shows information about 100 students in total, it shows students who take Life Sciences, Mathematics and Accounting. 12 take all the subjects, 21 takes both Accounting and Life Sciences,8 takes Life Sciences only. 16 takes Accounting and Mathematics, 20 takes Mathematics only, 10 takes Accounting only and 11 takes Life Sciences and Mathematics.
How many students are there who take Accounting and Mathematics but not Life Sciences
Answer:
only mathematics = 20
only accounting = 10
mathematics and accounting = 16
All = 46
Step-by-step explanation:
please make my answer as brainelist
WORD PROBLEMS INVOLVING RATE OF CHANGE
explantation is at the top :)
At an amusement park, 360 visitors rode the roller coaster in 3 hours. Write and solve a proportion to find the number of visitors at this rate who will ride the roller coaster in 7 hours.
Answer:
840
Step-by-step explanation:
360 divided by 3 = 120 Visitors per Hour
Now you do you 120 x 7 which equals to 840
Hope this helps ^^
Step-by-step explanation:
360 visitors in 3 hours.
that gives us the ratio
360/3
and because a ratio is nothing else than a fraction with a special meaning, we cab simplify this like any other fraction too :
360/3 = 120/1 = 120
in other words, out of the 3-hour ratio we know that there are 120 visitors in 1 hour.
and now it is easy to use it to find the number of visitors for 7 hours.
remember, if we multiply one part of the fraction by something, we need to multiply also the other part by the same number so that the value of the fraction stays the same.
in other words, we can only do
a/b × c/c
so, if we multiply the bottom part of our ratio by 7 (to go to 7 hours), we also have to multiply the top part by 7 to keep the ratio :
120/1 × 7/7 = 840/7
that tells us that there are 840 visitors in 7 hours.
Solve √5-4 x-6=7 .
(F) -44
(G) -41
(H) 41
(J) 44
The answer for this equation is -2.69.
Given,
Equation, [tex]\sqrt{5}[/tex] - 4x - 6 = 7
We have to find x using Order of Operations.
That is,
[tex]\sqrt{5}[/tex] - 4x - 6 = 7
[tex]\sqrt{5}[/tex] - 4x = 7 + 6
[tex]\sqrt{5}[/tex] - 4x = 13
-4x = 13 - [tex]\sqrt{5}[/tex]
-4x = 10.76
x = 10.76 / -4
x = -2.69
Therefore, the answer for the given equation [tex]\sqrt{5}[/tex] - 4x - 6 = 7 is -2.69
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Im begging y’all 33 to 36
Answer:
33a. 7^6
33b. 3^-4
34a. 6^4
34b. 11^0
34c. 5^4
35a. 144
36a. 5^7
36b. 2^8
36c. 3^7
give brainliest
Step-by-step explanation:
Using laws of indices
put all no to the same base
33a. 4+3-1 =6
7^6
33b.-2+8-10=-4
3^-4
34a. 7+2-5=4
6^4
34b. 2-1+3=4
11^4
34c. 6-2=4
5^4
35a. 3^2×4^2
9×16=144
35c. 5*2-6
10-6=4
3^4
36a. Remember 5^3=125
4+3=7
5^7
36b. 5+3=8
2^8
36c. 5+2=7
3^7
In question 35b, I don't think I know it but please give me brainliest.
Hope it helps, for more explanation ask in the comment section.
A battery with 20% of its full capacity is connected to a charger. Every minute that passes, an
additional 5% of its capacity is charged. Graph
Answer:
25
Step-by-step explanation:
just count by five
then that your answer
Question 7(Multiple Choice Worth 1 points)
(02.05 MC)
Determine the range of f(x) = x + 51.
{y-∞
{y-5
{y|0 ≤y<∞o}
{y|5≤y<∞o}
The range of the function f(x) = x + 51 is {y | -∝ < y < ∝}
What is the range of a function?The range of a function is the set of output values of the function
How to determine the range of the function?The function is given as
f(x) = x + 51
The above function is a linear function
The range of any linear function is the set of all real numbers
This is represented as
-∝ < f (x) < ∝
This can also be represented as
-∝ < y < ∝
So, we have
{y | -∝ < y < ∝}
Hence, the range of the function f(x) = x + 51 is {y | -∝ < y < ∝}
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........................................................................
Answer:
1
Step-by-step explanation:
Key Features of Linear Functions:Question 2
The graph below shows the number of caramel apples
and the number of popcorn balls that the students in the
math club need to sell at their bake sale to raise $200.
What is the meaning of the y-intercept in this situation?
Select one: linear functions
How do i solve this problem
The slope of the line is the y-intercept, and 40 caramel apples are required to raise $200.
Students in the math club are supposed to sell enough caramel apples and popcorn balls to generate $200, according to the question. This expression's line equation has the following form:
Expression's slope is 4/5(200) = 4(40) = 160.
40 caramel apples are equal to 200 minus 160.
Thus, 40 caramel apples are required, and the slope of a line is represented by the y-intercept.
What is a line's slope?The ratio between the y-axis and x-axis values is known as the slope of a line. Depending on the slope's values, it can
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Solve for x then find the measures of the following angles
Answer:
x= 10 , DEG = 60 , GEF = 40
Step-by-step explanation:
Firstly the angle DEH is 90 degrees because of the red square indicating it.
That means the angle DEF is also 90 degrees.
To find the x you would do:
6x + 4x = 90
now add the 6x and 4x together:
10x = 90
now divide 10 from both sides to isolate the x:
x = 10
now you have your x which is 10.
For angle DEG you plug in the 10 for the x:
DEG = 6(10)
after that you multiply the 6 and 10:
DEG = 60
For angle GEF you plug in the 10 for the x:
GEF = 4(10)
after that you multiply 4 and 10:
GEF = 40
can someone help me with this question please? I'm confused
Find the perimeter when 106 triangles are put together in the pattern shown below. Assume that all triangle sides are 1 cm long.
Using an arithmetic sequence, it is found that the perimeter when 106 triangles are put together is of 108 cm.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
The perimeter of a figure is the sum of the outer sides of the figure. Hence, considering that all sides are 1 cm long, we have that:
When there is one triangle, the perimeter is of 3 cm.When there are two triangle, the perimeter is of 4 cm(1 + 1 + 1 + 1 = 4), as shown in the figure given at the end of the answer.When there is three triangles, the perimeter is of 5 cm.When there is four triangles, the perimeter is of 6 cm.Hence the first term and the common difference are given as follows:
[tex]a_1 = 3, d = 1[/tex]
Hence the 106th term of the sequence is:
[tex]a_{106} = 3 + 105 = 108[/tex]
The perimeter when 106 triangles are put together is of 108 cm.
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Chantel has 45 green balloons and 54 purple balloons to make into bunches for a school celebration.she wants each bunch to have the same number of each ballon.what is thr greatest numberof bunches chantel can make if she wants tobuse all of her balloons?how many purple balloons will she put in each bunch
Answer: greatest number of bunches using all balloon is 48, using purple ballon is 27
Step-by-step explanation:
Write a two-column proof.
Given: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR
Prove: ∠K P L ≅ ∠ M R L
∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
What specifically is meant by "triangle congruency"?When two triangles' three corresponding sides and angles are the same sizes, they are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are moved.Congruence exists when two triangles satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR
To Prove: ∠KPL ≅ ∠MRL
As MR ⊥ PR (Given), then: ∠MRL = 90°Similarly, KP⊥ PR (Given), then: ∠KPL = 90°So, ∠KPL ≅ ∠MRL.
Therefore, ∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
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4,005/101 as a repeating decimal
Answer:
39.6534
Step-by-step explanation:
You divide 4005 by 101 and find the numbers that repeat as a decimal. In this case, the repeating decimals are 6534.
The formula I = √W/R gives the electric current I in amperes that flows through an appliance, where W is the power in watts and R is the resistance in ohms. Which set of numbers best describes the value of I for the given values of W and R ? W=100, R=25
The equation be I = √W/R
Where I is the current.
W stands for electrical power.
R stands for resistance in ohms then the value of I = 1.414
What is meant by electrical power?A circuit's ability to transport electrical energy is referred to as its electric power. One joule per second, or one watt, is the SI unit of power. Similar to other SI units, watts have standard suffixes that refer to thousands, millions, and billions of watts as kilowatts, megawatts, and gigawatts, respectively.
Let the equation be I = √W/R
Where W and R are both within the square root symbol and
I is the current.
W stands for electrical power.
R stands for resistance in ohms.
When W = 100, R = 25, to solve for the value of I for each set.
I = √100/25
The square root of I = √4
W = 100, R = 50 and I = 2.
I = √100/25
The square root of I = √2
Therefore, the value of I = 1.414
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b. What are the second and third terms of this arithmetic sequence? 80, 페, 페, 125,...........
The 2nd and 3rd term of an AP is found to be (a₂ = 95) and (a₃ = 110).
What is the sequence of AP arithmetic progression?In Arithmetic Progression, the difference between the two numerical orders is a fixed number (AP). Arithmetic Sequence is another name for it.
We'd come across a few key concepts in AP that had been labeled as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)As shown below, the AP can also be referred to in terms of common differences.
The following is the procedure for evaluating an AP's n-th term: an = a + (n − 1) × dThe arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, the given sequence is; 80, _, _, 125.
The series comprises of four given terms.
Let the first term be 'a₁' = 180.
The second term be 'a₂'.
The third term be 'a₃'.
And, the fourth term is 'a₄' = 125.
Use the nth term formula to find the common difference 'd'.
n-th term: an = a + (n − 1) × d
a₄ = a + (n - 1)d
125 = 80 + (4 - 1)d
45 = 3d
d = 15
Thus, the common difference is 15.
The second term is calculated as;
a₂ = a₁ + d
a₂ = 80 + 15
a₂ = 95.
The third term is estimated as;
a₃ = a₂ + d
a₃ = 95 = 15
a₃ = 110
Therefore, the 2nd and third term of an AP is computed as 95 and 110.
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You are solving a measurement problem where the numbers 2.058 × 10^9 and 3.0571 × 10^−4 are divided. How many significant digits should the quotient have?
4 significant digit the quotient have.
Significant digit are the important digit in a number which convey the accuracy. all non zero numbers are significant and zero between two non zero is a significant digit and all zeros at the right of decimal is significant digit in number.
Given numbers are 2.058 * 10^9 and 3.0571 * 10^-4
To calculate the division first we have to solve the exponent.
In divide we subtract the powers
10^(9-(-4)) = 10^13
Now do the division
(2.058 ÷ 3.0571)*10^13 = 0.67318*10^13 = 0.6732 *10^13
=6.732 * 10^12
Number of significant digit are 4.
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Please help
An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.5%
What is arithmetic average ROR?
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments
arithmetic average ROR=(2.1%+4.4%+7.8%+10.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average ROR=($3200/$8485*2.1%+$1750/$8485*4.4%+$1235/$8485*7.8%+$2300/$8485*10.5%)
weighted average ROR=5.68%
difference=6.20%-5.68%
difference=0.5%
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A meeting room is set up with 16 rows of seats. The number of seats in a row increases by two with each successive row. The first row has 12 seats. What is the total number of seats?
b. What is the number of seats in the 16 th row?
The most commonly used explicit of an arithmetic sequence is given as,
an = a + (n - 1) d
Each term in the sequence can easily be solved/computed without knowing the other terms in the sequence. Now by using the given information, we can say that,
2nd row seat = 12+ 1x2
3rd row seat = 12 + 2 x2
nth seat = 12 + (n-1) x 2
16th row seat = 12 + (16–1) x2 = 42
Since the number of seats is increasing at a constant rate, we can calculate the average number of seats in each row by taking the average of the first and last rows,
Average number of seats per row = (12 +42)/2= 27.
So total seats = average per row x number of rows.
= 27 x 16 = 432.
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