Answer:
1/343 = .00291545
Step-by-step explanation:
= 1/(7*7*7) =
The value of the exponential equation is A = ( 1/343 ) = ( 1/7 )³
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 1/7 ) x ( 1/7 ) x ( 1/7 ) be equation (1)
On simplifying the equation , we get
A = ( 1/7 )³
Now , on further simplification , we get
A = ( 1/343 )
And , the value of A = 0.002915
Hence , the exponential equation is A = ( 1/7)³
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Question 14 of 15
Len wants to learn more about red kangaroos. Which of the following is a
statistical question Len could ask?
O A. How tall is a red kangaroo?
O B. Are there red kangaroos in Asia?
• C. Are red kangaroos an endangered species?
O D. What iS the tallest red kangaroo ever recorded?
Answer:
A statistical question Len could ask is "How tall is a red kangaroo?"
Step-by-step explanation:
A statistical question is something that we can ask and test hypotheses about using collected data. There will not be a specific answer, but rather multiple answers and we can average them in a sampling distribution.
Let's examine each question:
"How tall is a red kangaroo?"
There is not a specific height for each kangaroo, so we can take the averages of many different samples and find the "true mean" in the sampling distribution. This is a good example of a statistical question because data can be collected on red kangaroos and means can be calculated."Are there red kangaroos in Asia?"
"Are red kangaroos an endangered species?"
What is the tallest red kangaroo ever recorded?"
These are all examples of non-statistical questions. They are "yes" or "no" questions, and we cannot take multiple samples to determine the answer. Rather, there is a single answer that we do not need to test hypotheses or perform any statistical calculations.Please, I need an answer to this question.
PLEASE HELPPPPPPPP!!!!
Answer:
See below ~
Step-by-step explanation:
1.
x² + y² + 14x - 2y = -1[x² + 14x + 49] - 49 + [y² - 2y + 1] - 1 = -1(x + 7)² + (y - 1)² = 49Centre = (x, y) = (-7, 1)Radius = √49 = 72.
x² + y² - 10x + 8y - 8 = 0[x² - 10x + 25] - 25 + [y² + 8y + 16] - 16 - 8 = 0(x - 5)² + (y + 4)² = 49Centre = (x, y) = (5, -4)Radius = √49 = 73.
Points are : (-2, 1) and (4, 3)D = √(4 + 2)² + (3 - 1)²D = √36 + 4D = √40D = 2√10What is the area of the shaded region?
Answer:
A = 59 in²
Step-by-step explanation:
the area (A) of the shaded region is calculated as
A = area of outer triangle - area of inner triangle
= [tex]\frac{1}{2}[/tex] bh - [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
= [tex]\frac{1}{2}[/tex] × 13 × 14 - [tex]\frac{1}{2}[/tex] × 8 × 8
= 91 - 32
= 59 in²
Find the area of the prism 14 in. 4 in. 9in.
Answer:
504 in cubed
Step-by-step explanation:
I am assuming this is a rectangular prism, since you did not show a picture.
l x w x h
14 x 4 x 9
14 x 36
504
Pls Helo ASAP WILL GIVE BRAINLIEST and 100 points. Open the document below and answer all the questions.
Answer:
The third question is asking you to use the diamond method to solve. At the top of the x would be -16 and the bottom would be -6. The left side would have -8 and the right side would have 2. So the factored form would be (n-8)(n+2)
Step-by-step explanation:
The same thing applies to part b. The top of the x would be 15 and the bottom -8. The left would be -3 and the right would be -5. The factored from would be (x-3)(x-5)
Answer:
Wow! what a worksheet lol! I think I got all your answers here!
Step-by-step explanation:
please help me, thanks if you do
Answer:
Step-by-step explanation:
It represents the initial number of bacteria to start with. It can represent nothing else.
Find the measure of angle
Answer:
112 degrees
Step-by-step explanation:
180-68=112
Since they are supplementary they form a straight angle, or 180 degrees so the angle AED is 112
Answer:
112
Step-by-step explanation:
∠AED and 68 are Linear pair angles.
That is their sum will be equal to 180,
∠AED + 68 = 180
∠AED = 180 - 68
∠AED = 112
492+817=492,817 is it correct
Answer:
I support, but this is actually the addition.
492+817 = 1309, yes :)
Step-by-step explanation:
And that includes the point (-5’2) has a slope of -4. what is its equation in point slope form?
Answer:
The equation of the line in point-slope form is y - 2 = -4(x + 5).
Step-by-step explanation:
Use the point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].
Substitute the point (-5, 2) and the slope m = -4 into the equation.
[tex]y-(2) = -4(x - (-5))[/tex][tex]y-2=-4(x+5)[/tex]If we stop here, this is the equation of the line in point-slope form.
find the domain of this equation x+5/x+5
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Which numbers are not perfect squares?
24
25
14
36
18
20
16
Answer:
20, 18,14,24 are not perfect squares.
Answer:
24, 14, 18, 20
Step-by-step explanation:
A perfect square is a number that can be expressed as the product of two equal integers. Numbers 24, 14, 18, and 20 are not products of any equal numbers. The rest are.
5 x 5 = 25
6 x 6 = 36
4 x 4 = 16
hope this helps!
In this diagram,
three concentric circles
rectangle. Point C lies on the middle
have their centers at O, and OABC is a
lies on the outer circle.
circle, point A lies on the inner circle, and point B
the smallest circle.
The intersection point of the rectangle's diagonals also lies on
1. If the radius of the smallest circle is 3, find its area.
2. Find the area of the yellow ring.
3. Find the area of the white ring.
I just need help on 2&3 i dont really know how to do that!
The area of the smallest circle with radius 3 is 28.27 unit². The area of the yellow ring and white ring is 28.27 unit² and 56.55 unit².
What is the area of the circle?The area of the circle is the space occupied by it. It can be given as,
[tex]A=\pi r^2[/tex]
Here (r) is the radius of the circle.
In this diagram, three concentric circles' rectangle.
Point C lies in the middle have their centers at O, and OABC is a lies on the outer circle. Point A lies on the inner circle, and point B the smallest circle. 1. The area of the smallest circle-The radius of the smallest circle is 3.
[tex]r_1=3\rm\unit[/tex]
Thus, the area of it is,
[tex]A=\pi (3)^2\\A=28.27\rm\; unit^2[/tex]
2. The area of the yellow ring.Let suppose the mid-point of the rectangle is D. Here, OB is the diagonal of the rectangle in which,
[tex]OD=BD[/tex]
The radius of the yellow ring's outer face from point O is,
[tex]r_3=OD+BD\\r_3=OD+OD\\r_3=2OD\\[/tex]
OD is the radius of the small circle, which is 3 units long. Thus,
[tex]r_3=2\times3\\r_3=6\rm\; units[/tex]
The line segment OC is the radius of the white circle from point O. In the triangle COB from the Pythagoras theorem, the radius r₂ of the middle circle is,
[tex]r_2=\sqrt{r_3^2-r_1^2}\\r_2=\sqrt{6^2-3^2}\\r_2=3\sqrt3[/tex]
Thus, the area of the yellow ring is,
[tex]A_y=\pi r_3^2-\pi r_2^2\\A_y=\pi (6)^2-\pi (3\sqrt{3})^2\\A_y=28.27\rm\; unit^2[/tex]
3. The area of the white ring.The area of white ring is,
[tex]A_w=\pi r_2^2-\pi r_1^2\\A_w=\pi (3\sqrt{3})^2-\pi (3)^2\\A_w=56.55\rm\; unit^2[/tex]
Hence, the area of the smallest circle with radius 3 is 28.27 unit². The area of the yellow ring and white ring is 28.27 unit² and 56.55 unit².
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In a survey of 200 employees, 65% agreed that the management of the cafeteria should be changed. if the confidence interval is 95%, the margin of error for this survey is %, and the maximum number of employees who could have agreed is about .
If the confidence interval is 95%, the maximum number of employees who could have agreed is about is 144.
Maximum number of employeeFirst step
Confidence interval=(Population±Margin of error)
Confidence interval=(0.65±0.0675)
Confidence interval=(0.65-0.0675); (0.65+0.0675)
Confidence interval=0.5825; 0.7175
Second step
Maximum number= 0.7175×200
Maximum number=143.5
Maximum number=144 (Approximately)
Therefore the maximum number of employees who could have agreed is about is 144.
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find an equation and the slope of the line that passes through (5,2) and is perpendicular to the x-axis
y=2; The slope is undefined.
x=5; The slope is 0.
y=2; The slope is 0.
x=5; The slope is undefined.
Solution: x = 5; The slope is undefined.
The slope that is perpendicular to the x-axis is undefined.
Explanation:
Given point: (5,2)
Since the line is perpendicular to the x-axis, then, the line is vertical.
Hence, x = 5
Answer:
x = 5, the slope is undefined
Step-by-step explanation:
Hello!
To be perpendicular to the x-axis, the line has to intersect at a 90° angle, causing it to be a vertical line with an undefined slope.
This removes the two middle options, as they have a slope of 0.
Consequently, looking at the two options, y=2, and x=5, y=2 would give us a parallel line to the x-axis, as we are drawing a line through all points with a y-coordinate of 2.
The correct option is x=5.
richard walks a distance of 4km to school in an hour. how far can he walk in 5 and a half hours
Answer:
22km
Step-by-step explanation:
5 x 4 = 20
1 x 4= 4
4 divided by 2 is 2
20+2=22km
I need help with 21 22 and 23
Hope this helps :)
Answers:
This can be found by using the combinations and permutations formulas.
Combinations being the C equation and Permutations being the P equation.
21: [tex]C_{6}(21) = \left[\begin{array}{ccc}21\\6\end{array}\right] =\frac{21!}{6!(21-6)!}=\frac{21*20*19*18*17*16}{6*5*4*3*2*1} = 54264[/tex]
answer: 54264
22: [tex]C_{2}(n) = \left[\begin{array}{ccc}n\\2\end{array}\right] =\frac{n!}{2!(n-2)!}= answer[/tex]
answers:
Art: 15
Writing: 21
Technology: 28
23: [tex]P(n,r)=\frac{6!}{(6-6)!}=720[/tex]
answer: 720
Explanation:
A permutation is an act of arranging the objects or numbers in order. Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
Which equation is equivalent to 7(r + 4) - 3?
7*r+7*4*3
7*r*7*4-3
7*r+7*4-3
7*r+7*4
Answer: Choice C
7*r+7*4-3
=========================================================
Reason:
We use the distributive property to go from 7(r+4) to 7*r+7*4
Multiply the outer 7 by each term inside.
Then the -3 tags along without any changes to it
So we go from 7(r+4) - 3 to 7*r+7*4 - 3
This can be simplified further to 7r+25, but your teacher has chosen not to simplify at this time.
Calculate the area of the red triangle to find the area of the garden. Show your work.
Side A is 90ft
Side B is 120
Side C is 150.
whats a cooler number 86 or 42?
Answer:
86
Step-by-step explanation:
because 86 reminds me of 69
which expressions are equivalent to 4x^2-25? Select all that apply
Which function has the greatest maximum range value?
The function f(x) is a sine graph, and the function with the greatest maximum range value is the function f(x)
How to determine the function with the greatest maximum range value?From the complete question (see attachment), the functions are given as:
Functions f(x) and g(x)
The maximum range value of these functions is their maximum output value
Function f(x) has a maximum range value of 3, while function g(x) has a maximum range value of -2
3 is greater than -2
Hence, the function with the greatest maximum range value is the function f(x)
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HELP!!! Solve the compound inequality.
x − 3 < 2 or x + 5 > 12
Answer:
Step-by-step explanation:
The compound Inequality is: 1. x -3 < - 9Adding 3 to both sidesx -3 + 3 < -9 + 3x < -6x ∈ (-∞,-6)2. x + 5 ≥ 12Subtracting ,5 from both sidesx +5 -5 ≥ 12 -5x ≥ 7x ∈ [7 , ∞)Combining , solution of inequality 1 and inequality ,2→→x ∈ (-∞,-6) ∪x ∈ [7 , ∞)Depicting on the number line ,the solution setOption C: A number line with an open circle on −6, shading to the left, and a closed circle on 7, shading to the right
Celeste took a taxi. The meter said $45. She tips the driver 15%. How much money did she pay the taxi driver?
Answer:
so I believe we can do 15% of 45, so that is 6.75.
so now we do:
45.00
+ 6.75
51.75 is your answer!
please mark brainliest if correct!
what is the correct answers NEED ANSWER ASAP
Answer:
Your Answer is 11 inches by 2 inches
Step-by-step explanation:
Area of Rectangle: Area = Length * Width
Given information:
Area = 22 in^2Length = 2x - 1Width = x - 4Put that into the Formula.
Area = Length * Width
22 in^2 = (2x - 1) * (x - 4)
Solve.
22 in^2 = (2x - 1) * (x - 4)
[tex]22 = (2x^2 - 9x + 4)\\2x^2 - 9x - 18 = 0[/tex]
Factor it.
(2x^2 - 9x - 18) = 0
(2x + 3)(x-6) = 0
[tex]x=-\frac{3}{2} ,6[/tex]
Plug that into the Length and Width to find the actually Length and Width.
Length:
[tex]2x - 1\\2*-\frac{3}{2}-1\\ -3-1\\-4\\[/tex]
Width:
[tex]x - 4\\-\frac{3}{2}-4\\ -\frac{11}{2}[/tex]
Area = Length * Width
Area = - 4* -11/2
Area = 22
Length:
[tex]2x - 1\\2*6-1\\ 12-1\\11\\[/tex]
Width:
[tex]x- 4\\6-4\\ 2[/tex]
Area = Length * Width
Area = 11 * 2
Area = 22 in^2
Chris finished doing chores at 10:28 AM.
He started at 8 :54 AM.
How long was he doing chores?
Answer:
94 minutes
Step-by-step explanation:
To get to 9:00, we add 6 minutes. From 9 to 10, there's 60 minutes. From 10 to 10:28, there's 28 minutes.
If we add them all together we get 94 minutes or 1 hour and 34 minutes.
Hope this helps.
Answer:
1:34 hours
Step-by-step explanation:
Step 1: Determine how long was Chris doing chores
10:28 AM - 8:54 AM
9:88 AM - 8:54 AM
1:34 hours
Answer: 1:34 hours
5
7. Julia's favorite snack comes in a box shaped like right triangular prism. The dimensions of the prism
are shown in centimeters (cm) below.
14.4 cm
2:6 cm
3.0 cm
V = Bh
What is the volume of the box? Round your answer to the nearest whole number.
A. 43 cm3
B. 56 cm3
C. 112 cm3
D. 137 cm3
Answer: C
Step-by-step explanation:
i will give Brainliest if half of the questions are answered
Answer:
Sorry I only know nuber 11 witch is 15
_
100
Step-by-step explanation:
(50 points + Brainliest) Create an equivalent expression that includes a set of parentheses that make the value of the expression 13. Remember, you can have 2 or more numbers within the set of parentheses.
Answer:
1/2 x [(12/2)-6]+13
Step-by-step explanation:
something like that. hope it helped sista
f(x)=−2x+16
g(x)=4x+10
please give me the intersection points
Answer:
(1, 14)Step-by-step explanation:
The intersection is when both functions have same coordinates
f(x) = g(x)Substitute to get
- 2x + 16 = 4x + 104x + 2x = 16 - 106x = 6x = 1The y- coordinate is
y = - 2(1) + 16 = -2 + 16 = 14So the intersection point is (1, 14)
Answer:
(1, 14)
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-2x+16\\g(x)=4x+10\end{cases}[/tex]
Substitute the function notation for y to create a system of equations:
[tex]\begin{cases}y=-2x+16\\y=4x+10\end{cases}[/tex]
To find the points of intersection of the given functions, solve the system of equations.
Multiply the first equation (function f(x)) by 2:
[tex]\implies 2y=-4x+32[/tex]
Add this to the second equation (function g(x)) to eliminate x:
[tex]\begin{array}{r l}4x+10 & = y\\+ \quad -4x+32 & = 2y\\\cline{1-2} 42 & = 3y\end{array}[/tex]
Solve for y:
[tex]\implies 3y=42[/tex]
[tex]\implies y=14[/tex]
Substitute the found value of y into one of the equations and solve for x:
[tex]\implies 4x+10=14[/tex]
[tex]\implies 4x=4[/tex]
[tex]\implies x=1[/tex]
Therefore, the point of intersection of the given functions is (1, 14).