The value of A is [tex]\left( \dfrac{6}{17}\right)^{9}[/tex].
Given that,
Equation; [tex]\rm \left(\dfrac{6}{17}\right)}^{9x}[/tex]
We have to find,
The value of A when the function is written as [tex]\rm A^x[/tex]?
According to the question,
To determine the value [tex]A^x[/tex] by applying the exponent property in the equation following all the steps given below.
By using the exponent property rewrite the equation,
[tex]\rm \left ( a )\right ^{mn} = ( a^m )\right^{n}[/tex]
Applying the property in the equation,
[tex]\rm \left(\dfrac{6}{17}\right)}^{9x}= \left( \left(\dfrac{6}{17}\right)^{9}\right) \right)^{x}[/tex]
By comparing the equation with [tex](A)^{x}[/tex],
[tex]\rm A ^{x}= \left( \left(\dfrac{6}{17}\right)^{9}\right) \right)^{x}\\\\A = \left( \dfrac{6}{17}\right)^{9}[/tex]
Hence, The required value of A is [tex]\left( \dfrac{6}{17}\right)^{9}[/tex].
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The value of [tex]\( A \)[/tex] when rewriting [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \) is \( \left( \frac{6}{17} \right)^9 \)[/tex]. The correct answer is option B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex] .
Step 1
Let's break down the calculation step by step to rewrite [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \)[/tex].
Given:
[tex]\[ \left( \frac{6}{17} \right)^{9x} \][/tex]
To express this in the form [tex]\( A^x \)[/tex], we observe that [tex]\( \left( \frac{6}{17} \right)^{9x} \)[/tex] can be rewritten using exponent rules:
[tex]\[ \left( \frac{6}{17} \right)^{9x} = \left( \left( \frac{6}{17} \right)^9 \right)^x \][/tex]
Now, calculate [tex]\( \left( \frac{6}{17} \right)^9 \)[/tex] :
[tex]\[ \left( \frac{6}{17} \right)^9 = \frac{6^9}{17^9} \][/tex]
Step 2
Calculate [tex]\( 6^9 \)[/tex] and [tex]\( 17^9 \)[/tex]:
[tex]\[ 6^9 = 10077696 \][/tex]
[tex]\[ 17^9 = 1667988092 \][/tex]
So,
[tex]\[ \left( \frac{6}{17} \right)^9 = \frac{10077696}{1667988092} \][/tex]
Therefore, [tex]\( A \)[/tex] in [tex]\( A^x \)[/tex] is:
[tex]\[ A = \left( \frac{6}{17} \right)^9 \][/tex]
Thus, the correct answer is:
B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex].
Complete question : What is the value of A when we rewrite [tex]\( \left( \frac{6}{17} \right)^{9x} \) as \( A^x \)[/tex]?
A) [tex]\( A = \frac{54}{17} \)[/tex]
B) [tex]\( A = \left( \frac{6}{17} \right)^9 \)[/tex]
C) [tex]\( A = \left( \frac{17}{6} \right)^9 \)[/tex]
D) [tex]\( A = -\frac{1}{9} \)[/tex]
Marco is purchasing a present for his mom he found a wash that is normally $115 for 35% off he also has a 15% off coupon how much will the watch cost before tax
Answer:
$63.54
Step-by-step explanation:
If something is 35% off you pay 65% of the price
115*.65= 74.75
same thing again but with 15% and multiplying by .85
74.75*.85=63.54
A quadrilateral labeled T'B'N'E' indicates a pre-image.
True
False
Answer:
False
Step-by-step explanation:
The image is after pre-image
25 points please help!!!
Answer: A) y=25, B) y=10 C) y=-5 D)y=-20
Step-by-step explanation:
So whenever you have a question like this just plug in the values.
A) x=0
y= -3x+25 will now turn into y=0+25, so y=25
B) x=5
y= -3x+25 is now y= -15 +25, so y=10
C) x=10
y= -3x+25 is now y= -30+25, so y=-5
D) x=15
y=-3x+25 is now y= -45+25, so y=-20
Gabe rolled 14 strikes out of 70 attempts. What percent of Gabe's attempts were strikes?
Answer:
20%
Step-by-step explanation:
14/70x100=20%
I need help with this^
Answer:
If it is asking for the order of the letters, it would be: Δ J H E
Explanation:
You have to put the letters in the same order that they were on the first triangle.
Hope this helps!! :)
Solve the equation by factoring. (enter your answers as a comma-separated list. let k be any integer. round terms to three decimal places where appropriate. if there is no solution, enter no solution.) csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ)
Final answer:
To solve the equation by factoring, we factor out common terms from both sides of the equation and set each factor equal to zero. We consider the factors separately and solve for θ to find the solutions.
Explanation:
To solve the given equation, we need to factorize the trigonometric terms. Let's start by factoring out the common factor of sin(θ) cot(θ) from the left side of the equation:
csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ)
sin(θ) cot(θ)(csc(θ) − tan(θ)) = cos(θ)
Now we have a product of two factors equal to zero, so we can set each factor equal to zero and solve for θ:
sin(θ) cot(θ) = 0
csc(θ) − tan(θ) = cos(θ)
To find the solutions for sin(θ) cot(θ) = 0, we can consider the factors separately:
sin(θ) = 0 or cot(θ) = 0
For sin(θ) = 0, the solutions are θ = kπ, where k is an integer.
For cot(θ) = 0, we can rewrite it as cos(θ)/sin(θ) = 0, which means cos(θ) = 0 and sin(θ) ≠ 0. The solutions for cos(θ) = 0 are θ = (2k + 1)π/2, where k is an integer.
Now let's solve csc(θ) − tan(θ) = cos(θ):
csc(θ) − (sin(θ)/cos(θ)) = cos(θ)
(1/sin(θ)) − (sin(θ)/cos(θ)) = cos(θ)
Using a common denominator, we can combine the fractions:
(cos(θ) − sin(θ))/sin(θ) = cos(θ)
Now we have a fraction equal to a constant. This can only be true if the numerator is zero:
cos(θ) − sin(θ) = 0
Using the identity cos(θ) − sin(θ) = −√2 sin(θ + π/4), we can rewrite the equation as:
−√2 sin(θ + π/4) = 0
Solving for sin(θ + π/4) = 0, we get θ + π/4 = kπ, where k is an integer.
Therefore, the solutions to the equation csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ) are:
θ = kπ (for sin(θ) cot(θ) = 0)
θ = (2k + 1)π/2 (for csc(θ) − tan(θ) = cos(θ))
Your family room has a sliding-glass door. You want to buy an awning for the door that will be just long enough to keep the Sun out when it is at its highest point in the sky. The angle of elevation of the rays of the Sun at this point is 70 $\degree$ , and the height of the door is 8 feet. Your sister claims you can determine how far the overhang should extend by multiplying 8 by tan 70 $\degree$
Answer: Your sister is not correct. You can determine how far the overhang should extend by dividing 8 by [tex]tan(70\°)[/tex]
Step-by-step explanation:
The complete exercise is attached.
Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).
Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.
You need to use the following Trigonometric Identity:
[tex]tan\alpha =\frac{opposite}{adjacent}[/tex]
You can notice that, in this case:
[tex]\alpha =70\°\\\\opposite=8\ ft\\\\adjacent=CB[/tex]
Knowing these values you can substitute them into [tex]tan\alpha =\frac{opposite}{adjacent}[/tex] and then solve for "CB" in orde to find its value.
You get:
[tex]tan(70\°)=\frac{8}{CB}\\\\CB*tan(70\°)=8\\\\CB=\frac{8}{tan(70\°)}\\\\CB=2.91[/tex]
Therefore, your sisteter is not correct.
Answer:
Your sister is not correct. You can determine how far the overhang should extend by dividing 8.
Step-by-step explanation:
You can determine how far the overhang should extend by dividing
Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).
Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.
You need to use the following Trigonometric Identity:
You can notice that, in this case:
Knowing these values you can substitute them into and then solve for "CB" in orde to find its value.
Therefore, your sisteter is not correct.
An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are the possible side lengths of the aquarium?
Final answer:
The possible side lengths for a cubic aquarium that can hold between 4096 cubic inches and 8000 cubic inches of water are between 16 inches and 20 inches.
Explanation:
To find the possible side lengths of an aquarium in the shape of a cube that holds between 4096 cubic inches and 8000 cubic inches of water, you need to find the cube root of each volume since the volume of a cube is V = s³, where s is the side length.
For the minimum volume (4096 cubic inches):
[tex]\sqrt[3]{4096}[/tex] = 16 inches.
For the maximum volume (8000 cubic inches):
[tex]\sqrt[3]{8000}[/tex] = 20 inches.
Hence, the side lengths of the aquarium must be between 16 inches and 20 inches.
The diagram shows a 7cm x 6cm rectangle-based pyramid all the diagonal sides - TA TB TC and TD are length 10cm M is the midpoint of the rectangular base work out the height MT to one decimal place
Height MT of the pyramid will be 8.9 cm
Given in the question,
Dimensions of the rectangular base = 7 cm × 6 cmM is the center of the rectangular base.Slant height of the pyramid = 10 cmSince, diagonals of a rectangle bisect each other, point M will be the midpoint of the diagonal AC.
By applying Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
AC = [tex]\sqrt{AB^2+BC^2}[/tex]
AC = [tex]\sqrt{6^2+7^2}[/tex]
AC = [tex]\sqrt{85}[/tex]
Therefore, AM = [tex]\frac{\sqrt{85} }{2}[/tex]
AM = 4.61 cm
Apply Pythagoras theorem in right triangle ΔAMT,
AT² = AM² + TM²
TM = [tex]\sqrt{AT^2-AM^2}[/tex]
TM = [tex]\sqrt{(10)^2-(4.61)^2}[/tex]
= [tex]\sqrt{78.7479}[/tex]
= 8.874
≈ 8.9 cm
Therefore, height MT of the pyramid will be 8.9 cm.
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For an outdoor concert by the city orchestra, concert organizers estimate that 19 comma 000 people will attend if it is not raining. If it is raining, concert organizers estimate that 4000 people will attend. On the day of the concert, meteorologists predict a 90% chance of rain. Determine the expected number of people who will attend this concert.
Step-by-step explanation:
The concert organizers estimate people will attend if it is not raining = 19000
If its raining people will attend = 4000
On the day of the concert, meteorologists predict a 90% chance of rain.
This means 10 % chance of not raining
The expected number of people = 90% (4000) + 10% (19000)
= 360 + 1900
= 2260
The expected number of people who will attend this concert = 2260
An equation of a circle is given as (x + 6)^2 + (y − 7)^2 = 81. Find the center and radius of the circle.
Answer:
(-6, 7), r=9
Step-by-step explanation:
The opposite of the number next to the x is -6, the opposite of the number next to the y is 7. The square root of the number on the right (81) is 9, so 9 is the radius.
A bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks. If you choose one block and then another block without putting the first one back in the bag, what is the probability that the first block will be green and the second will be yellow
Answer:
The probability that the first block will be green and the second will be yellow is [tex]\frac{1}{9}[/tex] or 0.111.
Step-by-step explanation:
We are given that a bag contains 5 yellow blocks, 2 green blocks and 3 blue blocks.
Also, we choose one block and then another block without putting the first one back in the bag.
Firstly, as we know that Probability of any event is given by ;
Probability of an event = [tex]\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}[/tex]
SO, Probability that the first block will be green = [tex]\frac{\text{Number of green blocks}}{\text{Total blocks in the bag}}[/tex]
Here, Number of green blocks = 2
Total number of blocks in bag = 5 yellow + 2 green + 3 blue = 10 blocks
So, Probability that the first block will be green = [tex]\frac{2}{10}[/tex]
Similarly, Probability that the second block will be yellow =
[tex]\frac{\text{Number of yellow blocks}}{\text{Total number of remaining blocks in the bag}}[/tex]
Here, Number of yellow blocks = 5
Total number of remaining blocks in bag = 10 - 1 = 9 blocks {because we haven't put the block back after choosing the first}
So, Probability that the second block will be yellow = [tex]\frac{5}{9}[/tex]
Now, Probability that the first block will be green and the second will be yellow = [tex]\frac{2}{10} \times \frac{5}{9}[/tex]
= [tex]\frac{1}{9}[/tex] = 0.111
Hence, the required probability is 0.111.
The base of the pyramid is a square. What is its surface area if the pyramid’s height is 4 feet and the area of the base is 36 ft2? Show your work.
Answer:
48
Step-by-step explanation:
What is the slope of the line that contains the points (-2,2) and (3,4)?
Use the slope formula to find slope m. y2-y1/x2-x1
m=2/5
Answer:i would say A i think
Step-by-step explanation:
Your friend passes you the ball during a soccer game. The Initial velocity of the ball was 12 feet per second, with a height off the ground modeled by the equation h=-4t^2+12t
A. how long after the kick did the ball hit the ground
B. how high did the soccer ball get
C. When did the soccer ball hit it's highest point
The ball hits the ground at t=0 or t=3 seconds. The maximum height of the ball is 9 feet. The ball reaches its highest point at t=1.5 seconds.
Explanation:To find out how long after the kick the ball hits the ground, we need to solve the equation h=-4t^2+12t for t when h=0. We can set the equation to zero and solve for t by factoring or using the quadratic formula. In this case, you can factor out a t from the equation and solve for t to find that t=0 or t=3.
To find out how high the soccer ball gets, we need to find the maximum height of the ball. The maximum height occurs at the vertex of the parabolic equation. The formula for finding the x-coordinate of the vertex is x = -b/2a. In this case, a = -4 and b = 12, so the x-coordinate of the vertex is x = -12/(2*-4) = 1.5. Substituting this value into the equation, we can find the maximum height by solving for h, which is h = -4*(1.5)^2 + 12*(1.5) = 9 feet.
The soccer ball hits its highest point at the x-coordinate of the vertex. In this case, the highest point occurs at t = 1.5 seconds.
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Classify the following polynomials by degree and number of terms
Answer:
degree: linear
terms: binomial
Step-by-step explanation:
The polynomials are :
↬ binomial↬ a third-degree binomialSolution :
To classify polynomials, we look at the number of terms and the degree of the polynomial.
Number of Termsmonomial - 1 term
binomial - 2 terms
trinomial - 3 terms
polynomial - 4 terms or more
Degree (highest exponent)first
second (quadratic)
third
fourth (quartic)
etc.
_________________
[tex]\pmb{3x+12}[/tex] has 2 terms and its highest exponent is 1. Hence it's a binomial.
[tex]\pmb{x^3-8}[/tex] has 2 terms and its highest exponent is 3, hence we have a third-degree binomial.
is this correct if not which one is 50 pts and brainliest for first answe
Answer:
B: 50% chance
Step-by-step explanation:
50/50 chance of happening is an equal chance
Answer:
no its B
Step-by-step explanation:
Because you have a 50 50 % chance
What is the quotient (3x3 − x2 − x − 1) ÷ (x − 1)?
A. 3x2 − 2x + 1
B. 3x2 − 4x + 1
C. 3x2 + 2x + 1
D. 3x2 + 4x + 1
Answer:
I believe the correct answer is C, sorry for the late answer/response, but I believe this is the right answer. Have a nice day
Step-by-step explanation:
:)
Final answer:
The quotient of the polynomial division (3x³ - x² - x - 1) ÷ (x - 1) is 3x² + 2x + 1 using synthetic division.
Explanation:
To find the quotient of (3x³ - x² - x - 1) ÷ (x -1), we can use polynomial long division or synthetic division. In this case, the coefficient in front of x in the divisor (x - 1) is 1, so we can use synthetic division directly.
Set up the synthetic division by writing the coefficients of the dividend, which are 3, -1, -1, and -1, and the zero of the divisor, which in this case is +1. Carry out the synthetic division process to get the quotient.
The result of the synthetic division gives us the coefficients of the quotient, which are the coefficients for the powers of x in the quotient polynomial, starting from one degree less than the original polynomial because we are dividing by a first-degree polynomial.
The remainder, if there is one, would be the constant at the end or the remainder over the divisor.
The quotient of the polynomial division is (3x² + 2x + 1) with no remainder.
A bonsai tree is 18 inches wide and stands 2 feet tall. What is the ration of the width of the bonsai to its height?
Answer:
3:4
Step-by-step explanation:
Before we start to deal with the ratio, we need all lengths in the same units.
The width is 18 inches.
The height is 2 feet.
Let's convert the height to inches. Then we will have both dimensions in the same units, inches.
2 ft * (12 in.)/ft = 24 in.
Now we have:
width = 18 in.
height = 24 in.
ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4
Mark was folding shirts and putting them into piles. He put 2 shirts in each pile. If there are 7 piles of shirts, how many shirts did Mark fold in all? A. 9 B. 21 C. 14 D. 16
Answer:
C. 14
Step-by-step explanation:
2 shirts in each pile x 7 piles of shirts = 14 shirts in total
2 x 7 = 14
Final answer:
To determine how many shirts Mark folded, multiply the number of shirts per pile (2) by the number of piles (7), which equals 14 shirts.
Explanation:
The question asks us to calculate the total number of shirts Mark folded if he put 2 shirts in each pile and there are 7 piles of shirts.
To find the total number of shirts, we need to multiply the number of shirts per pile by the number of piles. So, the calculation is as follows:
Determine the number of shirts per pile: 2 shirts.
Determine the total number of piles: 7 piles.
Multiply the number of shirts per pile by the number of piles: 2 shirts x7 piles = 14 shirts.
Therefore, Mark folded a total of 14 shirts.
is this expression contain a variable?
7+15n
Answer:
yes
Step-by-step explanation:
n
1. Which is the best method for solving the quadratic equation? Solve the quadratic equation using the method chosen. Leave all answers in simplest radical form.
Choose each method once.
• Take the square root of each side.
• Factor and use the zero product property.
• Complete the square.
• Use the quadratic formula.
A. x2 = –16x
B. y2 + 6y – 2 = 0
C. 2a2 = 72
D. p2 + 4p = 8
ANSWER:
2. Consider the quadratic function y = –2x2 + 3x + 4.
A. Does the parabola open upward or downward? Explain.
B. Does the vertex lie on, below, or above the x-axis? Explain.
ANSWER:
Answer:
1. A. Factor and use the zero-product property; x = 0, -16
B. Use the quadratic formula; y=-3-√11, -3+√11
C. Take the square root of each side; x = -6, 6
D. Complete the square; p= -2(√3 + 1). 2(√3 - 1)
2. A. Downward; coefficient of x² is negative
B. Above; k is positive
Step-by-step explanation:
1. A. x² = –16x
Factor and use the zero-product property
[tex]\begin{array}{rcl}x^{2} & = & -16x\\x^{2} + 16x & = & 0\\x(x + 16) & = &0\\x = \mathbf{0} & & x+ 16 = 0\\& & x = \mathbf{-16}\\\end{array}[/tex]
B. y² + 6y – 2 = 0
Use the quadratic formula
a = 1; b = 6; y = -2
[tex]\begin{array}{rcl}y & = & \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \\\\ & = & \dfrac{-6\pm\sqrt{6^2-4\times1\times(-2)}}{2\times1} \\\\ & = & \dfrac{-6\pm\sqrt{36+8}}{2} \\\\ & = & \dfrac{-6\pm\sqrt{44}}{2} \\\\ & = & \dfrac{-6\pm2\sqrt{11}}{2} \\\\ & = & -3\pm\sqrt{11}\\y=\mathbf{-3-\sqrt{11}} & &y= \mathbf{-3+\sqrt{11}}\\\end{array}[/tex]
C. 2a² = 72
Take the square root of each side.
[tex]\begin{array}{rcl}2a^{2} & = & 72\\a^{2} & = & 36\\a & = & \pm 6\\a= \mathbf{-6} & & a = \mathbf{6}\\\end{array}[/tex]
D. p² + 4p = 8
Complete the square.
[tex]\begin{array}{rcl}p^{2} + 4p & = & 8\\p^{2} + 4p + 4 & = & 12\\(p + 2)^{2}& = & 12\\p + 2& = & \pm \sqrt{12}\\& = & \pm 2\sqrt{3}\\p + 2 = -2\sqrt{3} & & p +2=-2\sqrt{3}\\p = -2 - 2\sqrt{3} & & p = -2 +2\sqrt{3}\\p= \mathbf{-2(\sqrt{3}+1)} & & p= \mathbf{2(\sqrt{3}-1)}\\\end{array}[/tex]
2. y = –2x² + 3x + 4
a = -2; b = 3; c = 4
A. Direction of opening
The parabola opens downward because the coefficient of x² is negative.
B. Vertex
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) are coordinates of the vertex.
The vertex will be above. on, or below the x-axis if k is positive, zero, or negative.
[tex]\begin{array}{rcl}k& = & \dfrac{4ac-b^{2}}{2a}\\\\& = & \dfrac{4\times(-2) \times 4 - 3^{2}}{2\times4}\\\\& = & \dfrac{-32 - 9}{-8}\\\\& = & \dfrac{-41}{-8}\\\\& > &\mathbf{0}\\\end{array}[/tex]
The vertex is above the x-axis because k is positive.
The graph below shows that your parabola opens downward and the vertex is above the x-axis.
1/8 + c = 4/5
c =
Solve the equation.
Answer:
c = 27/40.
Step-by-step explanation:
1/8 + c = 4/5
1/8 - 1/8 + c = 4/5 - 1/8
c = 4/5 - 1/8
c = 32/40 - 5/40
c = 27/40.
What line is parallel to the line 8x+2y=12
Answer:
y = 4x (? See parentheses in explanation)
Step-by-step explanation:
First, change this equation to slope-intercept form.
8x + 2y = 122y = 8x +12y = 4x + 6Then, look at the slope and that is the slope of the parallel line.
(I don't know if the line is supposed to pass through a specific point, but if it does, then use point-slope form.)
Answer:
There are an infinite number of solutions to this queston, but you can find an answer by writing:
8x+2y = k ; where k is any number but 12.
Step-by-step explanation:
The frequency of the musical note C4 is about 261.63 Hz. What is the frequency of the note a perfect fifth below C4?
A- 130.82 Hz
B- 174.42 Hz
C- 256.63 Hz
D- 392.44
Answer:
The frequency of the note a perfect fifth below C4 is;
B- 174.42 Hz
Step-by-step explanation:
Here we note that to get the "perfect fifth" of a musical note we have to play a not that is either 1.5 above or 1.5 below the note to which we reference. Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz, we have
1.5 × Frequency of note Y = Frequency of C4
1.5 × Y = 261.63
Therefore, Y = 261.63/1.5 = 174.42 Hz.
The frequency of the note a perfect fifth below C4 is 174.42 Hz
What is the perfect fifth?The perfect fifth is a musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.
For the perfect fifth of a musical note,
we have to play a not that is either 1.5 above or 1.5 below the note to which we refer.
Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz,
We have
[tex]1.5 \times Frequency of note Y = Frequency of C4[/tex]
[tex]1.5 \times Y = 261.63[/tex]
divide both sides by 1.5
Y = 261.63/1.5 = 174.42 Hz.
Therefore we get, the frequency of the note a perfect fifth below C4 is 174.42 Hz.
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What is the least common multiple of 8 and 14?
A. 14 . B. 42 c. 56
D. 112
Answer:
C: 56
Step-by-step explanation:
Hi there,
To find the least common multipul (LCM) of 8 and 14, you can list off the multipules of each, and see what they have in common.
Multiples of 8:
8, 116, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112
Multiples of 14:
14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182
When you list off the multipules of both numbers, they have 56, and 112, in common. The problem is asking for the least common multiple the answer is 56.
Hope this helps!
- Emily
Anyone understand this
Answer:
[tex]d = \sqrt{3} * a = \sqrt{3} * 5 = 8.7[/tex]
Step-by-step explanation:
plz give brainliest
Swati recorded this data set, which contains an outlier.
163, 97, 184, 199, 169, 175
What numbers represent the lower and upper quartiles?
Answer:
lower quartile: 163 upper quartile: 184
Step-by-step explanation:
1. put the numbers in order from least to greatest. 97, 163, 169, 175, 184, 199
2. find the median. 172
3. find the median of the first 3 numbers to get your Q1. 163
4. find the median of the last 3 numbers to get your Q3. 184
A triangle contains angles measuring 25° and 75°. How many degrees is the third angle?
Answer: 80 degrees
Step-by-step explanation:
A triangle has 180 degrees.
25+75=100
180-100= 80
That means the other angle must equal 80 degrees
what is 15 divided by 540
Answer:
36 is the answer........
Answer:
36
Step-by-step explanation:
You can use the bus stop method on this
540 how many 15 goes in it =36