Answer: 48
Step-by-step explanation:
We need to find the least common multiple of 12 and 16.
Finding the prime factorizations of 12 and 16,
[tex]12=2^{2} \times 3\\\\16=2^{4}[/tex]
Thus, the least common multiple is [tex]2^{4} \times 3=\boxed{48}[/tex]
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’. Which describes the rotation?
The rotation is 180 degrees in clockwise direction.
What is rotation?
The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.
The complete question is:
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
If we look at the coordinates carefully then we can see that the sign of the coordinates have been changed.
As, (x,y) to (-x, -y)
Hence, the rotation is 180 degrees rotation (x,y) to (-x, -y) in clockwise rotation.
Learn more about this concept here:
https://brainly.com/question/21042311
#SPJ1
Im in math 2 and I just need help with this to pass please
Answer:
.7 I your answer to your question hope it's help
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
35/50 --> [tex]\frac{7}{10}[/tex]
divide 35 by 5 = 7
divide 50 by 5 = 10
PLEASE ANSWER ASAP!!!!!!!!
Consider △ABC, where a = 8, c = 11, and m∠C=33∘.
What are the measures of the missing angles and missing side?
Enter your answer by filling in the boxes. Enter all values rounded to the nearest tenth.
m
m
b=
The missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
What is a Triangle ?Triangle is a polygon with three sides , three angles and three vertices.
Given is triangle ABC , with sides a = 8, c = 11, and m∠C=33 degree
The missing angle and side is given by Cosine rule of triangle
c² = a² + b² - 2ab cosC
11² = 8² + b² - 2* 8 * b * cos 33
57 = b² -13.42 b
b² -13.42b -57 = 0
b = 16.8
By sine rule
a / sin A = b/sin B = c/sinC
8 / sin A = 11 / sin 33
A = 23.33 degree
Similarly
B = 123.7 degree
Therefore the missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
To know more about Triangle
https://brainly.com/question/2773823
#SPJ1
choose the graph of the linear equation 30x+75y=300
Answer:
there ya go :)
#+3)(2+1) for x = 3.
c+5)(x-5)
Answer:
x=1/3
Step-by-step explanation:
first multiply both bracket to together and then you get, 9x=3
x=1/3, then sub in to other equation and get the rest answer.
hope it helpful
Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks. How long before the marathon should she start?
There are many ways to approach this problem. Some include, make a table, write a function, create ordered pairs...
1. Identify and label the variables.
2.Make a table for up to 6 weeks to see a pattern.
3. Write an equation to represent the nth term of the sequence.
4. If the pattern continues during which week will she run 10 miles per day?
5. Is it reasonable to think that this pattern will continue indefinitely, explain?
6. How long before the marathon should she start?
PLEASE ANSWER ALL QUESTIONS IF YOU CAN PLEASEE
Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.
How to determine a linear equation describing the daily distance of a runner
In this question we need to derive an expression of the daily distance as a function of time. Now we proceed to complete the components:
Linear equations have an independent variable (t - time) and a dependent variable (x - daily distance).We notice that the daily distance increases linearly in time, then then we have the following pattern:To learn more on linear equation: https://brainly.com/question/11897796
#SPJ1
Which of the following is equivalent to the
complex number ;³¹?
Choose 1 answer:
A
B
C
D
1
i
-1
-i
Step-by-step explanation:
[tex] = {i}^{31} [/tex]
[tex] = {i}^{28} \times {i}^{3} [/tex]
[tex] = {( {i}^{4} )}^{7} \times ( {i}^{2} \times i)[/tex]
[tex] = ( {i}^{2} \times {i}^{2} ) {}^{7} \times {i}^{2} \times i[/tex]
[tex] = ( - 1 \times ( - 1)) {}^{7} \times ( - 1) \times i[/tex]
[tex] = {1}^{7} \times ( - i)[/tex]
[tex] = 1 \times ( - i)[/tex]
[tex] = - i[/tex]
The answer is D.
If 343 superscript x baseline = 49 superscript 4 minus x, what is the value of x?
The value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.
Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.
In the question, we are given that 343ˣ = 49⁴ ⁻ ˣ, and are asked to find the value of x.
We try to solve the exponential equation, using the laws of exponents in the following way:
343ˣ = 49⁴ ⁻ ˣ,
or, (7³)ˣ = (7²)⁽⁴ - ˣ⁾ {Since, 343 = 7³ and 49 = 7²}.
or, 7³ˣ = 7⁸ ⁻ ²ˣ {Using the law: [tex](x^{a})^{b} = x^{ab}[/tex]},
or, 3x = 8 - 2x {Using the law: [tex]x^a = x^b \Rightarrow a = b[/tex], when x ≠ 0}.
or, 3x + 2x = 8 - 2x + 2x {Adding 2x to both sides of the equation},
or, 5x = 8 {Simplifying}
or, 5x/5 = 8/5 {Dividing both sides by 5},
or, x = 8/5 or 1.6 {Simplifying}
Therefore, the value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.
Learn more about exponents at
https://brainly.com/question/20392013
#SPJ4
What is the equation of the blue line?
Answer:
y = - 3x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (0, - 1)
m = [tex]\frac{-1-2}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
the line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - 3x - 1 ← equation of line
Joe has an ice cream stand. last week he spent $85 for ice cream and supplies. he earned $125. what was his profit?
Answer:
40 dollars
Step-by-step explanation:
Profit is what he earned minus his costs
Profit = 125 -85
Profit = 40
In studies that use more than one data collector, how is the consistency of the data evaluated?.
The way that the consistency of data is evaluated if more than one data collector is used is; Inter - rater reliability
How to find consistency in data research?When researching data about anything, it is pertinent to note that sometimes, we have to use more than one data collector just to get a more thorough result which only one person may not be able to generate.
Now, the way that consistency of data is evaluated when more than one data collector is used is via Inter-rater reliability. This is because Inter-rater reliability is the extent to which two or more raters or observers agree.
The benefit of Inter-rater reliability is that It addresses the issue of consistency of the implementation of a rating system. Inter-rater reliability can be evaluated by using a number of different statistics.
Read more about Data Consistency at; https://brainly.com/question/14127681
#SPJ1
please help me i'll mark you as brainiest if u give me the right answers
Answer:
Here's your answer guy
Step-by-step explanation:
a)cat
b)8
c)6....
If a/b = 3b, what is the value of 6b/a ?
A = 2/a
B = 2/b
C = 2a
D = 2b
Answer:
2/b
Step-by-step explanation:
a/b=3b
a=3b*b
a=3b^2
6b/a=6b/(3b^2)=2/b
What is the length of BC? (Giving 50 points)
Answer: Hope this helps you I guess.
2
Answer:
2 is the length of BC
Step-by-step explanation:
If we will look at this line, we can determine that unit interval is 1, so we subtract B from C, which is 2, and that's the answer
what is the gradient and y-intercept of y+2n=5
Answer:
Step-by-step explanation:
the coordinate of two point P(4,6) and Q(5,-7) then find (abicissa of P) -(abicissa of Q)
The value of (abscissa of P) -(abscissa of Q) is -1.
The given coordinates are P(4,6) and Q(5,-7).
We need to find (abscissa of P) -(abscissa of Q).
What is abscissa?The horizontal coordinate of a point in a planar Cartesian coordinate system that is determined by measuring parallel to the x-axis is what abscissa stands for.
Now, (abscissa of P) -(abscissa of Q)=4-5=-1
Hence, the value of (abscissa of P) -(abscissa of Q) is -1.
To learn more about abscissa visit:
https://brainly.com/question/1214621.
#SPJ1
The length of a rectangle exceeds its width by 4
inches, and the area is 60 square inches. What
are the length and width of the rectangle?
Answer:
length = 10 in, width = 6 in
Step-by-step explanation:
Let the width be x.
Then, length = (x+4)
Area = 60 in²
Area of a rectangle = width × length
60 = x × (x+4)
60 = x² + 4x
x² + 4x - 60 = 0
Splitting the middle term :-
x² + 10x - 6x - 60 = 0
x (x + 10) - 6 ( x + 10) =0
(x + 10) ( x - 6)
x = -10 (doesn't fulfill our requirement)
x = 6
So, width = 6 in
length = 6+4 = 10 in
Please help me
Find the value of x
Answer:
52=x-15(being vertically opposite angle)
52+15=x
x=67
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The executives hire a statistical consultant and ask her to determine the mean shopping time, , of customers at the supermarkets. The consultant will collect a random sample of shopping times at the supermarkets and use the mean of these shopping times to estimate . Assuming that the standard deviation of the population of shopping times at the supermarkets is minutes, what is the minimum sample size she must collect in order for her to be confident that her estimate is within minutes of
The sample size is 289.
Zα/2 = [tex]Z_{0.025}[/tex]
= 1.96
Sample size = n
n = [Zα/2* σ / E] 2
n = [1.96 * 26 / 3 ]2
n = 288.54
n = 289.
In records, the pattern size is the measure of the number of man or woman samples used in an experiment. As an example, if we are testing 50 samples of folks that watch tv in a town, then the sample length is 50.
An awesome sample length is normally 10% as long because it no longer exceeds a thousand. A very good sample length is commonly around 10% of the populace, as long as this doesn't exceed one thousand. for example, in a populace of 5000, 10% could be 500. In a populace of 200,000, 10% would be 20,000.
Learn more about the sample size here https://brainly.com/question/25574075
#SPJ4
Can someone help me pleaseeee.
The figure is given in the below diagram.
The steps of constructing a square inside a circle are as follows:
Start from the middle O of the provided circle.
Finding the center of a circle's approach can be used to create the center of the circle's center point is not known.
1. Draw a circle and label point A. This will turn into one of the square's vertices.
2. Create point C by drawing a diameter line from point A through the center and back out to the outside of the circle.
3. Set the width of the compass to a little bit more than the distance to O.
4. Sketch an arc above and under O.
5. Repeat by moving the compass to C.
6. To create the new points B and D, draw a line across the intersection of the arc pairs that is long enough to touch the circle at both the top and bottom.
This diameter is perpendicular to the first AC.
7. Draw a line connecting each pair of points A, B, C, and D.
Done. The circle is circled by the square ABCD.
Learn more about the construction here-
brainly.com/question/8606089
#SPJ10
Please help! Which of the following would result in an integer?
Answer:
B
Step-by-step explanation:
Cube root of 27 is 3, which is in integer
Given the points X(-2, 5) and Y(2, -3), find the coordinates of the point P on
directed line segment XY thatpartitions segment XY such that the ratio of XP
to PY is 4:1
(²,3)
5
( 71/17, 173737)
(7)
The coordinate of the point P will be (6/5, -7/5). Then the correct option is C.
The complete question is attached below.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divide the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
Given the points X(-2, 5) and Y(2, -3).
Then the coordinates of the point P on directed line segment XY that partitions segment XY such that the ratio of XP to PY is 4:1.
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, -3)
m = 4
n = 1
Then the point will be
x = [4 × 2 + 1 × (-2)] / (4 + 1)
x = 6 / 5
y = [4 × (-3) + 1 × 5] / (4 + 1)
y = -7 / 5
The coordinate of the point P will be (6/5, -7/5).
Then the correct option is C.
More about the section of the line link is given below.
https://brainly.com/question/6582647
#SPJ1
is the ratio 16: 4 equivalent to 12:3
Yes, because 16 divided by 4 is 4, and 12 divided by 3 is also 4
help me in math pls if u know rn i for got the next step
Answer:
I'm not sure what the question is. I'll offer one simplification that might help.
Step-by-step explanation:
[tex]\sqrt{3} - 3(4*\sqrt{8})[/tex]
One can convert the [tex]\sqrt{8}[/tex] to [tex]\sqrt{2} *\sqrt{4}[/tex] and then that becomes [tex]\sqrt{2} *\2}[/tex]2 or 2[tex]\sqrt{2}[/tex]
[tex]\sqrt{3} - 3(4*\sqrt{2}\sqrt{4})\\[/tex]
[tex]\sqrt{3} - 3(4*2*\sqrt{2})\\[/tex] See above explanation.
[tex]\sqrt{3} - 24*\sqrt{2})\\[/tex]
Jamie has 5 jars to fill with beads for a carnival game. She has 7.5 cups of multi-colc
beads. Jamie wants to put an equal amount of beads in each jar. How many cups o
can she place into each jar?
Part A Use pictures to solve the problem.
Answer.
cup
Answer:
1.5 cups of multi-color beads per jar
Step-by-step explanation:
We are dealing with dividing fractions that tells us how many parts of a whole we have
7.5 cups of beads / 5 jars = 1.5 cups of beads per jar 5 whole cups goes into 7 jars with 2.5 cups remaining2.5 cups split into 5 jars can be evenly split into 0.5 cups per jarLearn more about dividing Fractions at: https://brainly.ph/question/246177
Visual Representation:
Aiden has a smart phone data plan that costs $25 per month that includes 2 GB of data, but will charge an extra $10 per GB over the included amount. How much would Aiden have to pay in a month where he used 2 GB over the limit? How much would Aiden have to pay in a month where he used went over by xx GB?
Total cost when over by 2 GB:
Total cost when over by xx GB:
need answer quick
Answer:
45 dollars for going over 2GB
Step-by-step explanation:
If he pays 25 dollars every month and he goes over 2 GB then he’ll have to pay 20 dollars extra since every GB over cost 10 dollars. The equation is 25+10+10 which equals 45.
An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division.
The amount when 2 GB is used over the limit in a month is $45.
What is an expression?An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division.
Example: 2x + 3x2 is an expression.
We have,
Cost of data plan with 2 GB = $25
Cost of one GB = $10
The equation that can be used to find the amount to pay when using x GB over the limit in a month:
= 25 + 10x
The amount when 2 GB is used over the limit in a month:
= 25 + 10 x 2
= 25 + 20
= $45
Thus,
The amount when 2 GB is used over the limit in a month is $45.
Learn more about expressions here:
https://brainly.com/question/10978794
#SPJ2
14-8+3+8x(24÷8)
tell accordingly and i will mark every answer as brainliest
Answer:
33
Step-by-step explanation:
Apply BODMAS(Brackets Of Division Multiplication Addition Subtraction)
Answer:
+33
Step-by-step explanation:
first (24÷8), 8x(3), 14-8+3+24 =33
A five-digit integer will be chosen at random from all possible positive five-digit integers. What is the probability that the number's units digit will be less than 5
The probability that the number's units digit will be less than 5 is 0.5 that it is equal to 1/2.
Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
There are 10 possible digits, 0, 1, 2, ... 9 that make up the 5-digit number made up of integral values.
There are 5 digits that are less than 5 which are 0, 1, 2, 3, and 4 so the probability will be found by taking only those nubers which have unit's place less than 5,
By probability formula , Probability= no. of favourable outcomes/total no. of outcomes
So probability will be found that will be equal to 5/10, or 1/2
For more information about probability, visit https://brainly.com/question/24756209
#SPJ4
Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in was . Assume the amounts are normally distributed with standard deviation . Use the TI-84 Plus calculator to answer the following. (a) Find the th percentile of the bill amounts. (b) Find the rd percentile of the bill amounts. (c) Find the median of the bill amounts. Round the answers to at least two decimal places
The 9th percentile of the bill amounts is 81.0634.
How to calculate the percentile?
Population mean, µ = 110.56
Population standard deviation, σ = 22
a) p = 0.09
Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408
Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634
9th percentile = 81.0634
b) p = 0.66
Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125
Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342
66th percentile = 119.6342
c) Median = 0.50
Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0
Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56
Median = 110.56
Learn more about percentile on:
https://brainly.com/question/2263719
#SPJ1
2 Pretest: Unit 5
Question 19 of 27
Find the value of x that makes ABCD a parallelogram.
x+60°
70°
O A. x= 10°
OB. x= 30°
OC. X= 40°
OD. x = 50°
A
70°
x+60°
B
The value of x will be 50°. Then the correct option is D.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
Then the sum of the adjacent angle of the parallelogram is 180 degrees.
Then the value of x that makes ABCD a parallelogram will be
The one angle is x+60°.
Then the another angle will be 70°.
Then we have
x + 60° + 70° = 180°
x + 130° = 180°
x = 50°
Then the correct option is D.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
#SPJ1
