Answer: The answer is A and D.
Step-by-step explanation:
The pairs of numbers that have 24 as their least common multiple are 3 and 8 and 8 and 6.
What is the least common multiple?A multiple of a number is the product of an integer and that number. The least common multiple is the smallest multiple that is common to two numbers.
Least common multiple of 3 and 8 = 24
Least common multiple of 2 and 12 = 12
Least common multiple of 6 and 4 = 12
Least common multiple of 8 and 6 = 24
Least common multiple of 4 and 12 = 12
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What is the range of the function f(x) = 1/2 x- 2 when the domain is { 2,4,6}
Answer:
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
Step-by-step explanation:
Domain and Range
Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.
We have the function:
[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]
And the domain is
[tex]x\in\{2,4,6\}[/tex]
Compute the range by assigning each value of x:
For x=2:
[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]
[tex]\displaystyle f(2) = -1[/tex]
For x=4:
[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]
[tex]\displaystyle f(4) = 0[/tex]
For x=6:
[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]
[tex]\displaystyle f(6) = 1[/tex]
The range of f(x) is:
[tex]y\in\{-1,0,1\}[/tex]
In the diagram below, m
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
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4(8-6)+2(4+8)
Solve?
[tex] \huge{\boxed{\sf{32}}}[/tex]
Step by step explanation:
Step 1:
→[tex]4(8-6)+2(4+8)[/tex]
Info: + × - = -
Step 2:
→[tex]32 - 24 + 8 + 16[/tex]
Step 3:
→[tex]56 - 24[/tex]
Step 4:
→[tex]\green{32✓}[/tex]
Question 6
A person standing 35 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles
are similar
61
101
a
26 ft
30 ft
b
С
45 ft
27 ft
d
Answer:
Option (D)
Step-by-step explanation:
From the figure attached,
Since, ΔABD and ΔECD are the similar triangles,
Their corresponding sides will be proportional.
[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]
[tex]\frac{h}{6}=\frac{(x+10)}{10}[/tex]
10h = 6(x + 10)
Since, the person is standing 35 feet from a street light,
x = 35 feet
By substituting the value of x in the equation,
10h = 6(35 + 10)
10h = 270
h = 27 ft
Therefore, height of the street light will be 27 feet.
Option (D) is the answer.
The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.
Which equation represents g(x)?
Answer:
B
Step-by-step explanation:
Im almost sure it B but if not then its for sure D.
The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
What is translation?Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
The function is given as
[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]
The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.
The rule of translation is:
[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]
So, we have:
[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]
Take LCM
[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]
[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]
Next, translate f'(x) 4 units up.
The rule of this translation is:
[tex](x,y)=(x,y+4)[/tex]
So, we have:
[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]
[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]
Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].
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It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87
Answer:
B- hope this helps:)
Step-by-step explanation:
The total cost to paint 864.5 square feet of wall is $2,048.87.
It is given that the cost to paint one square foot of wall is $2.37.
We are asked to find the total cost to paint 864.5 square feet of wall.
What are the different place values in a given number with a decimal point?If we have a number that has a decimal point then we have two parts.
The whole number part and the fractional part.
After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.
You can also see the given figure below.
We know that,
One square foot = $2.37.
Remember that Feet is the plural form of the foot.
We can write,
864.5 square feet = 864.5 x one square foot
Because in 864.5 square feet we have 864.5 one square foot.
And since one square foot cost $2.37.
864.5 square feet will cost 864.5 x 2.37 dollars.
Now,
864.5 x 2.37 = $2048.865.
Rounding to the nearest hundredth.
6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.
Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.
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if tanΘ =√3 determine all the possible values of Θ such that -2π≤0≤2π
Answer:
Sure! Can you tell me the digits of pi?
Step-by-step explanation:
If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13
The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
If f(x) = 2x – 5 and g(x) = x² – 4x – 8.
Then the function (f+ g)(x) will be
(f+ g)(x) = f(x) + g(x)
(f+ g)(x) = 2x – 5 + x² – 4x – 8
(f+ g)(x) = x² – 2x – 13
Then the correct option is A.
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PLSS!!!! HELP!!! ME I WILL MARK U!!!!
Answer:
562
Step-by-step explanation:
Plug in the values of x, y, and z provided.
(5(5)-1)^2-2(7)
Solve.
(25-1)^2-14
(24)^2-14
576-14
562
Answer: 562
Step-by-step explanation:
(5x+y)^2-2z
first put in the known values. (5(5)+(-1))^2-2(7)
(25+-1)^2-14
Second, do 25+-1=24
(24)^2-14
Third, do 24 squared
576-14
Subtract
562
Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation
Answer:
Yes, he did
Step-by-step explanation:
We have that:.
Total time = 45
At time t, he moves at 8mph.
This gives: 8t
The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).
Hence, the total is
8t + 5(45 - t)
By comparison, we can conclude that Larry modeled the situation correctly.
An apple juice company produced 8.3 billion individual-size bottles of apple juice last year. If each bottle contains 355 milliliters of juice, how many milliliters of apple juice did the company produce?
Answer:
two trillion nine hundred forty-six billion five hundred million
The company produced 2946.5 billion milliliters.
What is multiplication?Multiplication is a mathematical arithmetic operation.
The process of adding the same number many times is repeated addition.
Multiplication is a repeated addition.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Last year,
a company that makes apple juice produced 8.3 billion bottles of apple juice.
And 355 milliliters of juice occupied by each bottle.
then the company produced,
= 355 x 8.3 billion milliliters,
= 2946.5 billion milliliters.
Therefore, 2946.5 billion milliliters.
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solve the question please
Plz help me I’ll give brainliest
Graph the linear function f(x)=3−6x
Answer:
(-1,9) (0,3), (1,-3), (2,-9)
Step-by-step explanation:
y intercept is -3
slope is -6, so you would go down by 6 and right by 1.
Answer:
The coordinates to graph this would be (-1,9) (0,3) (1,-3) (2,-9)
What is the value of -8 + 4.5 – (-1.2
Answer:-2.3
Step-by-step explanation:
-8 + 4.5 = -3.5
-3.5 -(-1.2)= -2.3
Consider the equation (x – 4)2 + 3 = 12
Answer:
I'm guessing you're solving for X so
X= 17/2
Step-by-step explanation:
that doesn't give the answer
Answer:
what doesnt give the answer??
Step-by-step explanation:
the mass of the moon
Answer:
The answer is 10^24kg. 0.07346.
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4200 seats. The students filled 84% of the seats in the theater. How many 6th graders went on the trip?
You need to find 84% of 4200 to get the amount of students. First change the percent to a decimal, and multiply 0.84 x 4200.
There were 3528 total students at the theater.
What is the equation of the ine that has a slope of 4 and passes through the point (3, -10) ?
Answer:
The answer is
[tex] \huge y = 4x - 22[/tex]
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (3, -10) and the slope 4
We have
[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]
We have the final answer as
[tex]y = 4x - 22[/tex]
Hope this helps you
Answer:
y+10=4(x-3) in point-slope form
Step-by-step explanation:
In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.
PLEASE HELP IF YOU GET RIGHT I GIVE BRAINLIEST
Answer:
i think 36
Step-by-step explanation:
brainliest?
Answer: 36
Step-by-step explanation:
45-27=18
18+18=36
Help me solve this problem please please
Answer: D. x > -1
Step-by-step explanation:
What number should be subtracted from 3/7 to get 5/7
Which logarithmic equation is equivalent
to 25 = 32?
answer log232 = 5
Answer:
5
Step-by-step explanation:
EDG 2021
Find the slope of the line.
The slope of the line is =
(Simplify your answer. Type an integer or a fraction.
What two perfect squares does 11 sit in
between
Answer:
9 and 16 hope this helps.
Step-by-step explanation:
A disadvantage of privately owned media is its __________.
Answer:
Its D
Step-by-step explanation:
Match the equation on the left with its solution(s) on the right.
What is the equation of a line through point (-4, 5) that is perpendicular to the line with equation y= -6x+4?
20 POINTS & I WILL GIVE BRAINLIEST
Answer:
i will help in a bit
Step-by-step explanation:
in the school there is 1 boy for every 4 girls. there is a total of 11 boys how many girls are in choir
Answer:
There are 33 girls in choir
Step-by-step explanation:
4 x 11 = 44 (we get four from the 1 boy for every 4 girls)
assuming that we have 44 kids in the class, 1/4 will be boys. 44/4 = 11 which means that we subtract 11 from 44 which will get you 33.
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
In the school, there is 1 boy for every 4 girls.
If there is a total of 11 boys. Then the number of girls in the choir will be given as,
⇒ 11 x 4
⇒ 44 girls
If there is a total of 11 boys. Then the number of girls in the choir will be 44 girls.
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