Answer:
a) 375 = 3 × 3 × 3× 3 × 5
in index form it is 3 × 5³.
prime factor of,
150 = 2 × 3 × 5 × 5.
To find the HCF, multiply all the prime factors common to both numbers: Therefore, HCF = 3 × 5 × 5.
ANS : 75
hope this helps you☺️☺️
If x and y vary inversely and x = 8 when y = 23, what is y when x = 4?
Answer:
11.5
Step-by-step explanation:
x=8 & y=23
then
x=4 is half so you divide by 2
so half of 23 would be 11.5. If you are rounding then it would be 12
4321 divided by 24 ?
Consider the system of linear equations and the matrix equations below.
- X+ 3y = 2
4x - 2y = 22
-1
3
Х
2
4
-2
22
What is the value of x in the equation?
-36
3
7
64
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
Using Cramer's rule, the value of x is ...
[tex]x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}[/tex]
x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10
x = 7
How old is a tree with circumference of 62.83 cm?
Step-by-step explanation:
19.9 is the age of the tree.
divide the circumference with 3.142 .
hope this helps you☺️☺️
a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio.
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
Find the difference quotient
f(x+h)-f(x)
h
and simplify.
f(x) = -9x + 2
-9h
0-9h+4
Help ASAP no links
Answer:
-9
Step-by-step explanation:
This is the function of derivative by definition. Which means f(x+h)-f(h)/h=f’(x).
f(x)=-9x+2
f’(x)=-9
The expression 3(x - 9) is equivalent to....
A. 3(x)+9
B. 3(x)+3(9)
C. 3(x) – 9
D. 3(x) – 3(9)
Answer:
d
Step-by-step explanation:
3(x - 9)
3×x - 3×9
3(x) - 3(9)
Need help ASAP!!!
Solve for the missing angle.
Answer:
D 56
Step-by-step explanation:
cos x = 5/9
x = 56°
have a great day
find the area of this trapezoid. Include the correct unit in your answer.
I need help understanding this and how to do it :)
Answer:
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
Step-by-step explanation:
we are given a trapezoid
we want to figure out the area
remember that,
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]
where a and b represent the parallel lines and h represents the height
we get from the pic that a and b are 5 and 15 respectively and h is 7
so substitute:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7[/tex]
simplify addition:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7[/tex]
simplify division:
[tex] \displaystyle A _{ \text{trapezoid}} = 10\times 7[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{trapezoid}} = 70[/tex]
since we multiply two same units we of course have to use square unit
hence,
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
Find Slope and Y Intercept
5y = 2x + 1
Answer:
[tex] slope \: (m) = \frac{2}{5} \\ \\ y - intercept \: (b) = \frac{1}{5} [/tex]
Step-by-step explanation:
[tex]5y = 2x + 1 \\ \\ \therefore y = \frac{2x + 1}{5} \\ \\\therefore y = \frac{2}{5} x + \frac{1}{5} \\ \\ equating \: it \: with \\ \\ y = mx + b \: we \: find : \\ \\ slope \: (m) = \frac{2}{5} \\ \\ y - intercept \: (b) = \frac{1}{5} [/tex]
Find the area of this trapezoid:
Answer:
Pls add the image
Step-by-step explanation:
YOU GO TO THE STORE WITH $100. YOU HAVE A LIST OF THINGS TO BUY THAT WILL COST $70 IN TOTAL. YOU WANT TO BUY OREOS. OREOS COST $3 A PACK. HOW MANY PACKS OF OREO COOKIES CAN YOU BUY?
Write an equation and solve this
Answer:
10
Step-by-step explanation:
First, you would subtract 100-70 to get 30
Then, you would do 30/3 to learn that you could still buy 10 packs of Oreos with the remaining money.
name three of the main powers of the executive branch
The executive branch is headed by the president, whose constitutional responsibilities include serving as commander in chief of the armed forces; negotiating treaties; appointing federal judges (including the members of the Supreme Court), ambassadors, and cabinet officials; and acting as head of state.
This will help you.
They:
-Take care that the laws be faithfully executed
-Serve as commander in chief of the armed forces
-Carries out and enforces laws
The President of the United States is the head of the executive branch. It includes the president, vice president, the Cabinet, executive departments, independent agencies, and other boards, commissions, and committees.
Hope I was able to help. :DDD
Which of the following is the correct order of the polynomial 4x^ 2 -6x^ 4 -x+2x^ 5 +1?
Review the table of values for function g(x).
x
g(x)
28.9
–3.751
28.99
–3.76
28.999
–3.9
29
undefined
29.001
–4.1
29.01
–4.24
29.1
–4.249
What is Limit of g (x) as x approaches 29g(x), if it exists?
–4.25
–4
–3.75
DNE
Answer:
the answer is b
Step-by-step explanation:
The Limit of g(x) as x approaches 29 is DNE.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
We have a function g(x).
In the given table we have different values of x corresponds to g(x).
Now, the value for x= 29 is not given in the table which is not defined.
and, if the value is not defined then it is also infinity.
So, the limit of g(x) tends to 29 is DNE.
Learn more about Function here:
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During the lunar cycle, the Moon always appears: A. to wax, but not wane. B. to wane, but not wax. C. to wax, then wane. D. to wane while waxing. Please help!
Answer:
C.to wax then wane
Step-by-step explanation:
Waxing is "Maxing," or growing with light until a full moon is reached. Waning is the opposite, or decreasing after a full moon, and is always illuminated on the left. Then, there is a waxing or waning Gibbous moon, which means more than half of the moon is illuminated.
What is the absolute mean deviation of this data?
1, 2, 3, 3, 4,5, 6, 8
Answer:
4/1/7 ( 4 and 1 over 7)
Step-by-step explanation:
First add all the numbers
1+2+3+4+5+6+8= 29
Finally you divide the total by counting the numbers which you have add up
29÷7
= 4/1/7 ( 4 and 1 over 7)
Mark me as the brainiest answer
Answer:
Step-by-step explanation:
1. Mean
1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32
32/ how many numbers there are
32/ 8 . = 4
Mean = 4
1 2 3 3 4 5 6 8
3 2 1 1 0 1 2 4
3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14
14/how many numbers there are
14/8 = 7/4 or in mixed form 1 3/4
A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the first concert, 42% attended the second one, 30% attended the third one, 80% attended at least one of the three concerts, 10% attended the first and second ones, 8% attended the first and third ones, and 7% attended the second and third ones. Find the probability that a randomly selected audient attended all the concerts
Answer:
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of audience in first concert [tex]P(X)=0.28[/tex]
Percentage of audience in second concert [tex]P(Y)=0.42[/tex]
Percentage of audience in third concert [tex]P(Z)=0.30[/tex]
Audience Percentage at at-least one concert [tex]P(X \cup Y \cup Z)=0.80[/tex]
Percentage of audience at first & second concert [tex]P(X \cap Y)=0.10[/tex]
Percentage of audience in first & third concert [tex]P(X \cap Z)=0.08[/tex]
Percentage of audience in second & third concert [tex]P(Y\cap Z)=0.07[/tex]
Generally the equation for probability of attending all concerts [tex]P(X\cap Y\cap Z)[/tex]is mathematically given by
[tex]P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)[/tex]
[tex]P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70[/tex]
[tex]P(X\cap Y\cap Z)=0.05[/tex]
Therefore the probability that a randomly selected audient attended all the concerts
[tex]P(X\cap Y\cap Z)=0.05[/tex]
I ASK SO MUCH OF YOUR HELP, PLEASE. Let x + y = 11 and x^2 + y^2 = 325. What is the value of x^3 + y^3? PLEASE EXPLAIN, TOO .
Answer: 4697
Step-by-step explanation:
x + y = 11 ......... i
x² + y² = 325 ........ ii
From equation i
x + y = 11
Therefore, x = 11 - y....... iii
Put equation iii into equation ii
x² + y² = 325
(11 - y)² + y² = 325
(11 - y)(11 - y) + y² = 325
121 - 11y - 11y + y² + y² = 325
121 - 22y + 2y² = 325
121 - 325 - 22y + 2y² = 0
2y² - 22y -204 = 0
2y² - 34y + 12y - 204 = 0
2y(y - 17) + 12(y - 17) = 0
(y - 17) = 0
y = 0 + 17
y = 17
Since x + y = 11
x + 17 = 11
x = 11 - 17
x = -6
Therefore, x³ + y³
= (-6)³ + (17)³
= -216 + 4913
= 4697
Determine If AB is tangent to the circle.
Answer:
no its not
Step-by-step explanation:
radius doesn't make 90 degree with AB. use Pythagoras theorem
what is the absolute value of 10?
Answer:
10
Step-by-step explanation:
abolute value= distance from zero 10 is 10 away from 0
Answer:
the answer is |10|
Step-by-step explanation:
absolute value is always positive
three consecutive integers have a sum of 255 find the integers
Answer:
Step-by-step explanation:
Givens
Let the smallest integer = x - 1 (You'll see why in a moment).
Let the middle integer = x
Let the largest ingeger = x + 1
Equation
x - 1 + x + x + 1 = 255
Solution
Combine like terms on the left.
3x - 1 + 1 = 255
3x = 255 Divide by 3
3x/3 = 255/3
x = 85
So the smallest number is 84
The middle number is 85
The largest number is 86
Total 255
Do you see why I made the smallest number x - 1?
It is because the -1 and the plus 1 cancel out.
Please realize the question says consecutive integers. It does not say consecutive odd or consecutive even integers.
How do I explain to an alien how to graph Graph Y=-2(x+3)^2+1
Step-by-step explanation: Explanation:
y
−
2
=
3
(
x
−
1
)
3
x
−
y
=
3
−
2
=
1
x
1
3
+
y
−
1
=
1
is the intercept form of the equation.
Now we know the two points on the line as
(
1
3
,
0
)
,
(
0
,
−
1
)
By plotting the two points on a graph sheet and joining them gives the line required.
graph{3x - 1 [-10, 10, -5, 5]}
Hope this helps!!!
A 9-foot ladder leans against a building six feet above the ground. At what height would a 15-foot ladder touch the building if both ladder from the same angle with the ground
Answer:
Similar triangles
H/7 = 15/9
H = 11.7 feet.
The surface area of a cylinder is 602.88. If the dimensions of the cylinder are
halved, what is the surface area of the new cylinder?
O A. 301.44
O B. 4823.04
O C. 2411.52
O D. 150.72
Answer:
you all have to divide by 2
Step-by-step explanation:
602.88÷2= 301.44
What expression is equal to 7x(2+3)
Answer:
14x+21x if thats an option
Step-by-step explanation:
where are the answer choices?
What is the place value of the 3 in 4.737?
It's the hundredths place (not hundreds).
Answer:
The place value of the 3 would be " Hundredths "
Step-by-step explanation:
The 4 would be 1's the 7 by the decimal would be tenths. The 3 would be hundredths, followed by the last 7 being thousandths
Find the difference or type
"impossible"
[3 –8] - [4 -5 -6]
Answer:
2
Step-by-step explanation:
(3-8)-(4-5-6)
(-5)-(-7)
-5+7
2
Using subtraction, the solution of the given equation is 2.
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
= [3 - 8] - [4 - 5 - 6]
= [-5] - [4 - 11]
= -5 - [-7]
= -5 + 7
= 2
Learn more about subtraction here
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Is this set of ordered pairs a function or not a function?
{(3, 2) (3,5) (4, 6) (7, 8)}
Answer:
Not a function
Step-by-step explanation:
The reason the ordered pairs are not a function is because there is no real equation that can get the correct x and y for each. Along with 3 being a x-value twice, which is also a key sign that it's not a function.
Please help me out with this!
Answer:
X=9.8
Step-by-step explanation:
Sin=opposite/hypotenuse
Sin33=x/18
X=18sin33=9.8