ANSWER and EXPLANATION
To understand this, we must first understand that 1 multiplied by any number or variable equals that number or variable.
So:
\(1\cdot5^4=4^4\)Now, 5 raised to power of 4 (5^4) means that 5 multiplies itself 4 times.
So, we have that:
\(\begin{gathered} 5^4\text{ = 5 }\cdot\text{ 5 }\cdot\text{ 5 }\cdot\text{ 5} \\ \Rightarrow5^4\text{ = 25 }\cdot\text{ 25} \\ 5^4\text{ = 625} \end{gathered}\)What is the measure of ZRIA?
R
PA
N
999
.
A. 55
B. 30°
O C. 95°
D. 60°
The measure of angle RIA is 55 degrees, option A is correct.
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
We have to find the measure of angle RIA
The opposite angle of RIA is LIK
Let us find the measure of LIK
∠FIL+∠LIK+∠KIN=180
30+∠LIK+95=180
∠LIK + 125 =180
Subtract 125 from both sides
∠LIK = 180 - 125
=55 degrees
∠LIK is equal to ∠RIA
∠RIA = 55 degrees
Hence, the measure of angle RIA is 55 degrees, option A is correct.
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The following is a conversion table for millimeters and centimeters. Which numbers belong in the millimeters column?
1, 3, 5
11, 13, 15
10, 30, 50
100, 300, 500
Answer:
100,300,500
Step-by-step explanation:
Answer:
There is no attached table, however
1 cm = 10 mm
3 cm = 30 mm
5 cm = 50 mm
10 cm = 100 mm
30 cm = 300 mm
50 cm = 500 mm
Therefore, the potential numbers in the millimeters column are:
10, 30, 50 and/or 100, 300, 500
(depending upon the numbers in the centimeter column)
What is the diffrence between 7/8 and 1/2?
Answer:
3/8
Step-by-step explanation:
1. Find common denominators, which is 7/8 and 4/8
2. 7/8 - 4/8 = 3/8
Answer:
7/4 or 1 3/4
Step-by-step explanation:
(8x - 5)(7x-8)
Find the product
Answer:
x=−3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 7*x-8-(8*x-5)=0
Pull out like factors : -x - 3 = -1 • (x + 3)
Solve : -x-3 = 0
Add 3 to both sides of the equation : -x = 3
Multiply both sides of the equation by (-1) : x = -3
Answer:
56x^2−99x+40
Step-by-step explanation:
Evaluate (8x−5)(7x−8)
Apply the distributive property by multiplying each term of 8x−5 by each term of 7x−8.
56x^2−64x−35x+40
Combine −64x and −35x to get −99x.
56x^2−99x+40
Do not round any intermediate computation, and round your final answer to the nearest cent.
SOLUTION:
Case: Simple interest
Method:
P= $5100
R= 6.5% or 0.065 annual rate
T= 365 days.
1. The formula for simple Interest is:
\(I=PRT\)Therefore:
\(\begin{gathered} I=5100\times0.065\times\frac{365}{365} \\ I=331.50 \end{gathered}\)The Interest, I= $331.50
2. The Amount, A
\(\begin{gathered} A=P+I \\ A=5100+331.50 \\ A=5431.50 \end{gathered}\)The Amount A= $5431.50
The table below shows the number of students who attend various after-school activities.Which does the ratio 17:44 represent?
Answer:
The part-to-part relationship between homework help and sports
Step-by-step explanation:
Assume the table is like the one below.
\(\begin{array}{lcl}\textbf{Activity}& \textbf{Students} \\\text{Spanish} & 19 \\\text{Basketball} & 24 \\\text{Drama} & 15\\\text{Homework help} & 17 \\\text{Soccer} & 20 \\\end{array}\)
17 students participated in homework help.
44 students participated in basketball (24) and soccer (20), i.e. sports
Both sports and homework help are parts of the whole group of all activities.
Thus, 17:44 represents the part-to-part relationship between homework help and sports.
Explanation: Please show table.
How do you evaluate 35/a. When a =7
Answer:
5
Step-by-step explanation:
\(35/a\), when a = 7
Substitute
\(35/7\) \(=5\)
Answer:
5
Step-by-step explanation:
You substitute 7 for a in the equation.
35/a ——> 35/7
Evaluate it and your answe is 5.
I hope it helps! Have a great day!
Lilac~
Which expression has a value closest to ? (Use as the value of .)
A.
B.
C.
D.
Simplify:
28 : 7 x 22
Answer:
0.181818
hope it helps!
Answer:
88
Step-by-step explanation:
If you mean 28 divided by 7 then it would like this
28 : 7 x 22
Follow PEMDAS order (left to right)
28 divided by 7 x 22
= 4 x 22
Simplify
4 x 22
= 88
Hope this helps!!
How many different 3 digit combinations can there be for a combination lock that has a six digit wheel?
The number of 3 digit combinations possible for the six digit wheel combination lock is; 216 combinations.
Combinations and selections.It follows from the task content that the number of possible 3 digit combinations for the six digit wheel as required is to be determined.
The number of possible selections in a given sample space is defined by the combination which defines the situation.
On this note, each digit from the 3 digit combinations could be any of the six digits on the wheel.
Therefore, the number of possible combinations is; 6 × 6 × 6 = 216 combinations.
Ultimately, the number of possible combinations is; 216 combinations.
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If an interior angle of a regular polygon has a measure of 120 degrees, how many sides does it have?
Step-by-step explanation:
The formula to find the interior angle of a polygon is 180(n - 2) over n.
So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.
Now we use algebric method to solve for n.
180n − 360 = 120n
60n = 360
n = 6
So, the answer is = 6 sidesThe perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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Expand this expression
.-(-5+ +12)
Answer:
-(-5+12)
opening bracket
-1×-5=5
-1×+12=-12
5+12=17
Answer: = -7
Step-by-step explanation:
you have to remove the + sign and the period and your answer will be -7
A bank pays interest rate of 15% per annum on the savings in a customers account. calculate the total amount in a customers saving account at the end of the year
Answer:
Matty is the most precious ma ma ta the best I don't think so I can see good
Using the definitional formula, compute Ss, variance and the standard deviation for the following population of scores. Scores: 1, 8, 0, 4,2 SS 40 variance 10 standard deviation 3.16
Ss, variance and the standard deviation for the population of scores is 2.83 and 8 respectively
What is standard deviation and variance?
Standard deviation is a measure of the distribution of statistical data, whereas variance is a measure of how data points differ from the mean. The fundamental distinction between the two is that although the variance is expressed in squared units, the standard deviation is expressed in the same units as the data's mean.
Given,
SS = 40
Variance = 10
Standard Deviation = 3.16
Using Population Variance Formula :
= \(\frac{1}{n}\)∑( x-xbar)² where i is 1
For the complete solution see the attachment of table
sum ( x - x bar)² = 40
so, variance = 40/5
= 8
standard deviation = \(\sqrt{8}\)
= 2.83
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528+787 using standard algorithm
Answer: 1,315
528
+787
---------
1315
Answer: 1315
Step-by-step explanation:
1 1
528
+787
1315
Find the difference by subtracting the second polynomial from the first.
a2+62-2ab +1 and 2a2 +62+2b +1
Answer: a²+2b+2ab
Step-by-step explanation:
(2a²+62+2b+1)-(a²+62-2ab+1)
2a²+62+2b+1 - a²-62+2ab-1
a²+2b+2ab
is -1/3 - 4/5 postive, negative or zero
Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Based on an equation, the amount that Isabel spent on bread was $2.42.
How the equation was solved?To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.
An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
The amount Isabel spent on vegetables = $15.91
The amount she spent on fruits = $11.22
Let the amount she spent on bread = x
The total amount she went with = $30 (3 x $10)
The change she got after giving the cashier $30 = $0.45
The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)
x = $2.42 ($29.55 - $15.91 - $11.22)
Check:
Vegetables = $15.91
Fruits = $11.22
Bread = $2.42
Total expenses = $29.55
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D) tape measure
12. A compact car is 5.5 meters in length. How many of these compact
cars can be parallel parked on a street in a neighborhood that is three
hundred thirty feet long?
1 meter = 3.28 feet
A) approximately 18
B) approximately 60
C) approximately 196
D) approximately 230
13 Mount St Helen's is 2510667 motor
Answer:
the answer is A
Step-by-step explanation:
Which of the following is a solution to this inequality?
y<2/3x+2
(0, 3)
(−3, 1)
(3, 5)
(1, 2)
Answer:
(d) (1, 2)
Step-by-step explanation:
You want to know which of the given points satisfies the inequality.
GraphWe find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)
__
Additional comment
Another way to choose the answer is to try each of the points in the inequality.
If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).
You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
3 less than the quotient of a
number y and 4
Answer:
y ÷ 4 - 3
Step-by-step explanation:
Since it asks for the quotient of y and 4, quotient indicates that it is division, so those two are going to be divided. It also says 3 less than. Less than means subtraction.
In a random sample of 1500 Arts majors who are graduating from the University of Western Cape this summer (2021), we observe that 1380 have already found a job.
What is the proportion of students that have already NOT found a job (rounded off to two decimals)? [3]
The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.
To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.
The total number of students who have not found a job would be 1500 - 1380 = 120.
To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:
The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.
Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.
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Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
The values of {m} that is greater than 4.6 represent the solution of the given inequality.
An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
The given inequality is -
5m - 7 > 16
Adding 7 on both sides, we get -
5m - 7 + 7 > 16 + 7
5m > 23
m > 23/5
m > 4.6
Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.
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Help and i will give brainiest if you answer them all if random will report.
Answer:
○ 1. B
○ 2. 146.25
Add the numbers
○3. (-6w) - 8 + 1 (-7w)
(-6w) -7 + (-7w)
Rearrange
(-6w) + -7 + (-7w)
(-6w) + (-7w) - 7
Solution
(-6w) + (-7w) - 7
○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1
Step-by-step explanation:
Hope it help
Mark me as brainliest
Answer:
hello good day
Step-by-step explanation:
thank you for the free points
A solid cube of side 8 cm was melted to form a solid circular cone. The base radius of the cone is 4 cm. Calculate, correct to one decimal place, the height of the cone. [Take π = 22/7 ]
A solid cube of side 8 cm was melted to form a solid circular cone.
Side of cube = 8 cm .
Volume of cube = a³where a is side of the cube.
Volume of cube = (8)³
Volume of cube = 8 × 8 × 8 = 512 cm³
The base radius of the cone is 4 cm.
Since the solid cube is melted to form a solid circular cone, but the volume will remains the same.
Volume of cone = Volume of cylinder = 512 cm³
Formula to calculate the volume of cone :
\( \rm Volume (cone) = \dfrac{1}{3} \pi { r}^{2} h\)
Plugging in the values of radius and volume
\(512 = \dfrac{1}{3} \times \dfrac{22}{7} \times {(4)}^{2} \times h \\ \\ 512 = \dfrac{22}{21} \times 16 \times h \\ \\ 512 = \dfrac{352}{21} \times h \\ \\ 512 = 16.76 \times h \\ \\ h = \dfrac{572}{16.76} \\ \\ h \approx 34.1\)
\( \therefore\) The height of the cone is 34.1 cm
... me no like math...
Answer:
i got 61.27
Step-by-step explanation:
quater circumference \(=\frac{3.14 * 22}{4}\)
= 17.27
20+2+2+(20-11)+11+17.27 = 61.27
Use Properties to Add
Find the sum. Write the addition property you used.
1. 28 + 29 + 42 =
Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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