The value of x is 1 , option B is the correct answer.
What is an Equation ?When two algebraic expressions are equated using an equal sign , the mathematical equation formed is called an Equation.
The equation is given by 3log₂(2x)=3
3log₂(2x)=3
log₂(2x) = 3/3
log₂(2x) = 1
The base of the logarithm is 2
it can also be written as
[tex]\rm 2^{log_{2}(2x)} = 2 ^1[/tex]
2x = 2
x = 1
Therefore the value of x is 1 , option B is the correct answer.
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What quadrant is point D located in?
A. quadrant I
B. quadrant II
C. quadrant III
D. quadrant IV
Answer:
Quadrant 4
Answer is D........
Find the length of the midsegment of each trapezoid.
12)
Answer: 25
Step-by-step explanation:
[tex]\frac{23+27}{2}=\boxed{25}[/tex]
y2-y1
m =
X2-X1
Find the slope of the line that passes
through these two points.
Simplify completely.
(1,5)
(4,6)
m =
[?]
Answer:
[tex]\sf m=\dfrac{1}{3}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]\sf m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Given the points (1, 5) and (4, 6):
where:
x₁ = 1, x₂ = 4
y₁ = 5, y₂ = 6
Substitute these values into the formula:
[tex]\sf \sf m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{6-5}{4-1}\\\\m=\dfrac{1}{3}[/tex]
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What is the equation of the line that is perpendicular to y = 2x + 9 and has a y-intercept of –3?
Answer:
The image has the ans.
Step-by-step explanation:
Image explains.
A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting an insect?
Express the probability as a reduced fraction
Answer:
1/3
Step-by-step explanation:
[tex]|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]
Two boxes of apples weigh 35 lb. If one of the boxes weighs 12 lb, then find the weight of the second box.
2. Verify that cos(360° -0)=cos is an identity.
Answer:
it is an identity that was solved
Step-by-step explanation:
cosin - the a
The larger of two numbers is 15 more than the smaller number. If the sum of the two numbers is 27, find the two numbers.
Larger Number:
Smaller Number:
Answer:
Larger number: 21
Smaller number: 6
Step-by-step explanation:
Step 1: Make equations.
x ... larger number
y ... smaller number
First equation: The larger of two numbers is 15 more than the smaller number.
x = y + 15
Second equation: Sum of the two numbers is 27.
x + y = 27
Step 2: Solve the system of equations.
First equation: x = y + 15
Second equation: x + y = 27
Substitute x in second equation with x from first.
x + y = 27
(y + 15) + y = 27
Solve for y.
y + 15 + y = 27
2y = 27 - 15
2y = 12
y = 6
Substitute the calculated value of y back in first equation to get x.
x = y + 15
x = 6 + 15
x = 21
Which statement best describes the domain and range of f(x) = –(7)x and g(x) = 7x?
f(x) and g(x) have the same domain and the same range.
f(x) and g(x) have the same domain but different ranges.
f(x) and g(x) have different domains but the same range.
f(x) and g(x) have different domains and different ranges.
The true statement about the functions is:
"f(x) and g(x) have the same domain but different ranges."
Which statement best describes the domain and range of the functions?Here we have the functions:
[tex]f(x) = -(7)^x[/tex]
[tex]g(x) = 7^x[/tex]
Two exponential functions. Notice that you can use any input in these functions, so both of these have the same domain, which is the set of all real numbers.
But the ranges are different. The exponential part can't change the sign of the base, so f(x) has the range (-∞, 0), and for g(x) the range is (0, ∞).
Then the correct option is:
"f(x) and g(x) have the same domain but different ranges."
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Answer:
its b on edge 2022 they have the same domain but different ranges
Step-by-step explanation:
I got it right :D good luck.
calculate the area of this triangle :
b = 12cm
h = 5cm
side = 13cm
I NEED THE ANSWER ASAP !!
Applying it's formula, the area of the given triangle is of 30 centimeters squared, that is, 30 cm².
What is the area of a triangle?The area of a triangle of base b and height h is given by half the multiplication of these measures, that is:
A = 0.5bh.
In this problem, we have that b = 12 cm, h = 5 cm, hence:
A = 0.5 x 12 cm x 5 cm = 30 cm².
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A furniture maker used 9/4 cans of paint to paint 2 chairs. He used the same amount of paint for each chair. How many cans of paint did he use for each chair?
Answer:
9/8 cans of paint
Step-by-step explanation:
if the furniture maker used the same amount of paint for each chair ,
we have to divide 9/4 by two to get the answer
(9/4)/(2/1) = (9*1)/(4*2) = 9/8
=> 9/8
hope this helps :)
Answer:
9/8 is the answer.
Please help!! Simplify fully:
Answer:
[tex]9 {e}^{6 } [/tex]
Step-by-step explanation:
yes
Simplify this expression.
(2-5√6)-3√2
A. 6√2-15√6
B. 6√2-15√12
C. 6√2-8√6
D. 6√2-30√3
Answer:
-A.
Step-by-step explanation:
/Correct Me If I'm Not Correct/
"Hope it's Help"
Danny attempted to complete a 500 piece puzzle. By the end of the night, he places p pieces in the puzzle correctly, which expression shows how many more pieces he needs to add to the puzzle to complete it
The expression that shows how many more pieces he needs to add to the puzzle to complete it is 500 - p
How to determine the expression?The given parameters are:
Total = 500
Correct = p
The remaining piece is calculated using:
Total =Correct + Remaining
Substitute known values
p + Remaining = 500
Subtract p from both sides
Remaining = 500 - p
Hence, the expression is 500 - p
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Joseph and his children went into a movie theater where they sell bags of popcorn for $7.50 each and pretzels for $4.75 each. Joseph has $95 to spend and must buy no less than 16 bags of popcorn and pretzels altogether. If
x
x represents the number of bags of popcorn purchased and
y
y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Step-by-step explanation:
An economist wanted to investigate the relationship between office rents (the dependent variable) and vacancy rates. Accordingly, he took a random sample of monthly office rents and the percentage of vacant office space in 30 different cities. a. Determine the regression line. b. Interpret the coefficients.
The regression line will be y = 20.64 - 0.3038x.
How to explain the regression?It should be noted that regression is a statistical method that determine the relationship between the variables.
Here, the regression line will be y = 20.64 - 0.3038x. The slope coefficient is -0.03038 and the intercept is 20.460.
The slope coefficient defines that for a unit increase in the percentage of vacancy rate will reduce 0.3038 unit of monthly office rent.
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Ii
a survey asked 6,000 random college students about how they are paying for college.
one thousand students surveyed responded that they have taken out student loans.
which conclusion can be made about the population from this survey?
o a. most college students do not use students loans.
o b. half of college students are using students loans.
oc. one-quarter of college students are using students loans.
od. all college students are using students loans.
Answer:
Answer = most college students do not use students loans.
Step-by-step explanation:
To find the percentage of students taking out student loans we take 1,000/6000 to get roughly 17%. This is a very small number of students taking out student loans.
what is the name of these figures?
Answer:
1. Triangle 2. Pentagon 3. Hexagon 4. Parallelogram
Step-by-step explanation:
If I give you an x-value of (x = 6), and a quardatic equation 2x²-3x+2=y, what is the y-value?
Please help me
Answer:
Step-by-step explanation:
2(6²)-3(6)+2=y
(2x36)-18+2=y
72-18+2=y
y=52 BODMAS
It may also be 56 tho im not sure if thats right
Put x in Equation
y=2x²-3x+2y=2(6)²-3(6)+2y=2(36)-18+2y=72-18+2y=54+2y=56PLEASE HELP FOR THE LOVE OF GOD
The tree diagram represents an experiment consisting of two trials. p(a and c)
Answer:.2
Step-by-step explanation:.4/(.4+.3+.6+.7)
What is the mode of the data set? 26, 29, 26, 29, 43, 29 enter your answer in the box.
Answer:
29
Step-by-step explanation:
it is 29 because mode is most occuring digit or number so 29 is the mode
HURRY please answer this
Which expression is represented by the model?
jennifer invests $2,302 in a money market account. the account pays 2.1% simple interest annually. if she doesn’t add or subtract any money, is it reasonable to expect that jennifer will earn about $200 in simple interest in 5 years?
Jennifer would earn more than $200. She would earn $230.02 over the period.
What is the simple interest that Jennifer would earn?Simple interest is a type of interest paid only on the money invested.
Simple interest = amount invested x interest rate x time
2302 x 5 x 0.021 = $230.20
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Find the perimeter of ABCD
Find the area of Area
Step-by-step explanation:
A = (1, 3)
B = (3, 6)
C = (9, 2)
D = (7, -1)
the distance between 2 points is given by the Pythagoras equation based on the coordinate differences as legs of virtual right-angled triangles.
AD for example we get from
AD² = (7-1)² + (-1 - 3)² = 6² + (-4)² = 36 + 16 = 52
AD = sqrt(52) = sqrt(4×13) = 2×sqrt(13)
and AB we get from
AB² = (3-1)² + (6-3)² = 2² + 3² = 4 + 9 = 13
AB = sqrt(13)
the perimeter of the given rectangle is
2×sqrt(52) + 2×sqrt(13) = 2×2×sqrt(13) + 2×sqrt(13) =
= 6×sqrt(13) = 21.63330765...
and the area of the rectangle is
2×sqrt(13)×sqrt(13) = 2×13 = 26
Holly is looking up at an angle at a helicopter. The direct distance from Holly to
the helicopter is 16 km. The helicopter is hovering 11 km above the ground.
Calculate the angle of elevation from Holly to the helicopter. Include a labelled
diagram in your solution
Answer:
43.43 degrees
Step-by-step explanation:
This is a right triangle with the opposite LEG = 11 km and the hypotenuse = 16 km
sin (angle) = opposite/hypotenuse
= 11/16
arc sin (11/16) = angle = 43.43 degrees
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
area of a triangle =1/2 x b x h
which is half base x hieght
The point (-11,2) ____on the circle with radius 5 and center (-7,4)
Answer:
Does not lie
Step-by-step explanation:
The equation of the circle is
[tex] {(x + 7)}^{2} + {(y - 4)}^{2} = 25[/tex]
If we substitute x=-11, and y=2, we get that:
[tex] {( - 11 + 7)}^{2} + {(2 - 4)}^{2} = 25 \\ {4}^{2} + {2}^{2} = 25 \\ 20 = 25[/tex]
Which is false, meaning it does not lie on the circle
please help me! will give the brainliest answer!
What is the inverse of this function?
f(x) = − ½√x + 3, x ≥ −3
In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each represents.
The slope of the graph is 745 and the y-intercept of the graph is 500
How to determine the slope?The points are given as:
(2, 1990) (5, 4225) (9, 7205)
The slope is calculated using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m = (4225 - 1990)/(5 - 2)
Evaluate
m = 745
This means that the amount earned per day is 745
Hence, the slope of the graph is 745
How to determine the y-intercept?In (a), we have
m = 745
To calculate the y-intercept, we use the following points
(x1 , y1) = (0,y)
Recall that:
m = (y2 - y1)/(x2 - x1)
So, we have:
745 = (4225 - y)/(5 - 0)
Evaluate the difference
745 = (4225 - y)/(5)
Multiply both sides by 5
3725 = 4225 - y
Solve for y
y = 500
This means that the initial amount earned is 745
Hence, the y-intercept of the graph is 500
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