Answer:
x = 0, 1.333333...
Step-by-step explanation:
1) Convert both sides to the same base.
[tex]16^{1.5x^{2} } =16^{2x}[/tex]
2) Cancel the base of 16 on both sides.
[tex]1.5x^{2} =2x[/tex]
3) Move all terms to one side.
[tex]1.5x^{2} -2x=0[/tex]
4) Factor out the common term x.
[tex]x(1.5x-2)=0[/tex]
5) Solve for x.
1 - Ask: When will x(1.5x-2) equal zero?
When x = 0 or 1.5x - 2 = 0
2 - Solve each of the 2 equations above.
x = 0, 1.333333...
How far from the door must a ramp begin in order to rise 5 ft with an 11-degree angle of elevation? Round off your answer to the nearest hundredth.
PS. Please put a drawing/illustration. Thank you!
The door of the ramp must begin at a distance of 25.72ft in order to raise the ramp by 5ft.
Data;
height (opposite) = 5ftangle = 11°distance (adjacent) =xTrigonometric RatioTo solve this problem, this is a right angle triangle and we can use trigonometric ratio SOHCAHTOA here.
Since we have the value of angle and opposite and solving only for adjacent, we can use tangent of the angle.
[tex]tan \theta = \frac{opposite}{adjacent} \\[/tex]
Let's substitute the values into the formula above and solve
[tex]tan 11 = \frac{5}{x} \\x = \frac{5}{tan 11} \\x = 25.72ft[/tex]
The door of the ramp must begin at a distance of 25.72ft in order to raise the ramp by 5ft.
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Sergio found 4 pennies on the ground his sister said that she found 2times as many pennies Sergio figured out that his sister found 6 pennies .what did Sergio do wrong
Answer:
Sergio found 4 pennies on the ground and her sister said that she found twice as many as him
When his sister said that she found twice as many, sergio added 2 to his number of pennies instead of multiplying by 2
That's where Sergio made a mistake and got the answer wrong
20 points!! pls help
The radii of two similar cones are 1.0 and 2.5. What is the ratio of
-their lateral areas?
-their volumes?
Answer:
Assuming the cones are the same height, then
V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3
V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3
V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3
V1/V2 = 1/6.25 = .16
V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)
V2/V1=6.25/1 = 6.25
which of these expressions or phrases can be used to represent the model brainly choose all the correct answers. PLEASE HELP ASAP!\
Answer: 3 divided by 1/4 is the first and the second is number fourths un 3 :)
Step-by-step explanation:
3÷1/4 is the expression which can be used to represent the model
What is Fraction?A fraction represents a part of a whole.
An expression is combination of variables, numbers and operators.
In the given model there are twelve blocks.
The 12 blocks are divided to three parts.
Each part has 4 blocks.
This can be represented by the expression 3÷1/4
Three divided by one by four is the required expression.
Hence, 3÷1/4 is the expression which can be used to represent the model
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Which words have vertical symmetry for all of the letters in the word? Check all that apply.
MOM
DIZZY
НІТ
SEAT
WAXY
Answer:
MOM
HIT
WAXY
I just did this on edge
Answer:
1 3 6
Step-by-step explanation:
help me pls
Question 4 Part B (2 points): In part A you factored f(x) = 9m2 + 3m - 2. What are the x intercepts of this function? SELECT ALL THAT APPLY.
A.
m = -1/3
B.
m = 1/3
C.
m = -2/3
D.
m = 2/3
E.
m = 3
F.
m = -3
G.
m = 6
H.
m = -6
x intercepts means the roots of the function .Let's find out
[tex]\\ \rm\Rrightarrow 9m^2+3m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 9m^2-3m+6m-2=0[/tex]
[tex]\\ \rm\Rrightarrow 3m(3m-1)-2(3m-1)=0[/tex]
[tex]\\ \rm\Rrightarrow (3m-2)(3m-1)=0[/tex]
m=2/3m=1/3The x-intercepts are -(2/3) and (1/3).
The correct options are (B) and (C)
What is a Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. The fact that the coefficient of x² is a non-zero term (a 0) is a necessary need for an equation to be a quadratic equation.
As per the given data:
f(x) = 9m² + 3m - 2
To find the x-intercept of this function:
The roots of f(x) will be the x-intercepts of the given function.
f(x) = 9m² + 3m - 2
9m² + 3m - 2 = 0
9m² - 3m + 6m - 2 = 0
3m(3m - 1) + 2(3m - 1) = 0
(3m + 2)(3m - 1) = 0
The roots are m = -(2/3) and m = (1/3)
Hence, the x-intercepts are -(2/3) and (1/3).
The correct options are (B) and (C)
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Four friends
shared a pizza. The table
below shows how much pizza each
friend ate. Which two friends ate the
same amount of pizza? Amount of pizza
Felix 1/12
Lucy 1/4
Ned 1/3
Penny 4/12
Answer:
Ned and Penny
Step-by-step explanation:
Ned: [tex]\frac{1}{3}[/tex]
Penny: [tex]\frac{4}{12}[/tex] --> simplying it makes it [tex]\frac{1}{3}[/tex]
Hence, Ned and Penny ate the same amount of pizza.
The friends who ate the same amount of pizza are Ned and Penny
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Four friends shared a pizza
Now , Felix 1/12
Lucy 1/4
Ned 1/3
Penny 4/12
So , the pizza shared by Penny = 4/12
On simplifying the equation , we get
P = 1/3
Hence , Penny and Ned shares the same amount of Pizza = 1/3
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Lines M and N are parallel. Name the relationship between ∠a and ∠b.
Answer: A
Step-by-step explanation:
Tom is reading an article about the population of a city. The city's exact population is 175,901 people. Tom says that the city's population rounded to the nearest thousand is 175,000. Is Tom correct?
Answer:
nope, it’s actually 176,000. the 901 is very high if u compare it to 499 which is the lowest number to round down to.
Step-by-step explanation:
Question 1 Solve 18>12+x. Graph the solution. The solution is .
Answer:
6 greater than x
Step-by-step explanation:
I did the math on paper
Solve the equation 1/2 - 1/6= 4/3x^2
Answer:
x=2
Step-by-step explanation:
1/2‒1/6=4/3x^2
3/6‒1/6=4/3x^2
2/6=4/3x^2
1/3=4/3x^2
1(3x^2)=4(3)
3x^2=12
x^2=4
x=√4
x=√2*2
x=2
Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.
Answer:divide both sides of the equation by 10.4
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
if f(a)=b and g(b)=c are functions then domain and range of fog and gof equals to
Answer:
fog =gofthen it will be equal
H lo help math math math please ASAP
Answer:
5x & -1
Step-by-step explanation:
2x+3=5x
-x = -1x
maybe...
What is the surface area of this figure?
Enter your answer in the box.
ft²
Complex solid composed of a triangular prism and a rectangular prism. The triangular prism is centered on the top of the rectangular prism. The rectangular prism bottom face is labeled 19 ft and 9 ft. The height of the rectangular prism is labeled 11 ft. The triangular base has an altitude drawn and labeled 12 ft. The sides of the triangle are labeled 13 ft, 13 ft, and 10 ft. The height of the rectangular prism is 9 ft.
The surface area of this figure will be 991 square feet.
What is Surface Area?The area of a plane region or plane field refers to the area of a shape or planar substance, whereas surface area refers to the area of an open surface or the boundary of a multi-object.
A complex solid made out of triangular and rectangular prisms. The triangular prism is centred on the top of the rectangular prism.
The surface area of the shape is given as,
SA = 2(19 x 11 + 11 x 9) + 19 x 9 + 10x 9 + 13 x 12 + 13 x 12
SA= 2(209) + 171 + 90 + 156 + 156
SA = 418 + 171 + 90 + 312
SA = 991 ft²
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find the solution set of x² - 7x = -12?
a. {-2, 4}
b. {-4, 1}
c. {4, -4}
d. {3,4}
Answer:
The answer is d.
Step-by-step explanation:
[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\x-3=0; x=3\\x-4=0; x=4\\(3,4)[/tex]
a cyclist travels at 10 km/h for 3.5 hours. Calculate the distance traveled by the cyclist
d=vt
d=10 km/h x 3.5 h
d = 35 km
In Martina's bucket there are 6 brown worms and 7 red worms.
Martina is going to choose 9 worms at random from the bucket to use for fishing.
What is the probability that she will choose 4 brown worms and 5 red worms? Round your answer to three decimal places.
help. I cant seem to figure this out.I'll give brainliiest.
The total yearly cost to rent a trumpet is $114. The monthly cost is constant with no initial fee.
A person rents a trumpet for 3 years and 5 months.
Show your work or explain how you would find the total cost, in dollars, for the person to rent the trumpet?
Write an equation that represents the relationship between m, the number of months a trumpet is rented, and t, the total cost to rent the trumpet.
Explain your equation.
Enter your answer and your work or explanation in the space provided.
Step-by-step explanation:
There are 12 months in a year so,
114/12= 9.5$/month
t=9.5m
Since T represents the total cost, we want to express it in terms of months by multiplying m which refers to the number of months by the monthly fee which i have already calculated.
Using this equation we can find out the answer to your previous question.
t=9.5m
but m=3×12+5=41 months (3 years 12 months each)
t=9.5(41)
t=389.5 $
Which angles are adjacent to each other?
Answer:
Angles 7 and 8
Step-by-step explanation:
They are next to each other, and share a common side.
What is the gradient of the graph shown?
Gradient = Slope.
Use two points on the line to find the slope.
Slope = change in y over change in x
Points: (-4,0) and (0,-4)
Slope = (-4 - 0) / (0 - -4)
Slope = -4/4 = -1
Slope = -1
Which of the binomials below is a factor of this trinomial?
x^2 - 13x + 30
A. x + 5
B. x - 10
C. x^2 + 5
D. x + 6
Answer:
B. x - 10
Step-by-step explanation:
x² - 13x + 30 = (x - 3)(x - 10)
x² + (a + b)x + ab = (x + a)(x + b)
what are the partial products when finding 1,643×4.
Answer:
4,000
600
160
12
Step-by-step explanation:
When using partial products, you basically break up the number into ones, tens, hundreds, thousands, etc.
So the partial products of 1,643 x 4 will be,
1,000 x 4
600 x 4
40 x 4
3 x 4
The partial products of the multiplication problems are,
4000
600
160
12
The answer will be 4,772.
The partial products of the multiplication problems are,
4000, 2400, 160 and 12
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
When using partial products, you basically break the number into ones, tens, hundreds, thousands, etc.
So the partial products of 1,643 x 4 will be,
1,643 can be written as 1000+600×40+3.
Now multiply with 4.
(1000+600×40+3)×4
1,000 x 4+600 x 4+40 x 4+3 x 4
4000+2400+160+12
Hence the partial products of the multiplication problems are,
4000, 2400, 160 and 12 and The answer will be 4,772.
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A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income. A sample of 20 employees is selected and the data are given below. Education (No. of years) Length of tenure in current employment (No. of years) Age (No. of years) Annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000 a. Determine the estimated multiple linear regression equation that can be used to predict the annual income given number of years school completed (Education), length of tenure in current employment, and age.
Answer:
y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3
Step-by-step explanation:
Given the data below:
Education (No. of years) Length of tenure in current employment (No. of years) Age (No. of years) Annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000
The estimated multiple linear regression equation that can be used to predict the annual income using number of years school completed (Education), length of tenure in current employment, and age using an online multiple regression calculator is :
y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3
According to the general form of a multiple linear regression model:
-143481.1924 = intercept(c) ; where regression line crosses the origin
10011.9212x1 - 2193.8838x2 + 2689.2405x3 are weight coefficients of the three predictor variables ; x1, x2, and x3
y = predicted variable
Where the regression line crosses the origin 10011.92x₁ – 2193.88x₂ + 2689.24x₃ are weight coefficients of the three predictor variables x₁, x₂, and x₃. Then y is the predicted variable.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.
A survey conducted by a research team was to investigate how the education level, tenure in current employment, and age are related to annual income.
A sample of 20 employees is selected.
The estimated multiple linear regression equation that can be used to predict the annual income using the number of years of school completed (Education), length of tenure in current employment, and age using an online multiple regression calculator will be
[tex]\rm y=-143481.19 + 10011.92x_1-2193.88x_2+2689.24x_3\\[/tex]
According to the general form of a multiple linear regression model will be
[tex]\rm -143481.19 = intercept (C)[/tex]
Where the regression line crosses the origin 10011.92x₁ – 2193.88x₂ + 2689.24x₃ are weight coefficients of the three predictor variables x₁, x₂, and x₃.
y = predicted variable.
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Write the ratio in the simplest form 25 to 45
Answer: 5/9 is the simplified fraction for 25/45 by using the GCD or HCF method. Thus, 5/9 is the simplified fraction for 25/45 by using the prime factorization method.
The dimensions of this figure are changed so that the new surface area is exactly 12 what it was originally.
What is the new surface area?
Enter your answer as a decimal in the box.
yd²
Complex solid composed of rectangular prisms in an L shape. The height of the taller side of the L shape is labeled 8.4 yd. The height of the shorter side of the L shape is labeled 3.8 yd. The width of the of the shorter section of the L shape is labeled 4.3 yd. The length of the taller section of the L shape is labeled 10.1 yd and the width is labeled 2 yd.
The surface of the figure is the amount of space on the figure
The new surface area would be half of the original figure
How to determine the surface area?The question is incomplete, so I will give a general explanation.
Assume the surface area of the original figure is A.
Then the area of the new figure would be:
A2 = A * k
Where k is the scale of dilation.
From the question, we have:
k = 1/2
So, the equation becomes
A2 = A * 1/2
This gives
A2 = 1/2A
The above means that the new surface area would be half of the original figure
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Answer:
The answer is 181.61
Step-by-step explanation:
I took the k-12 quiz - Hope this helps!
93x + 7 = 95x - 3
Solve the equation
Answer:
x=5
Step-by-step explanation:
How can I fing the volume of a fish tank?
Answer:
You can measure from the inside of the tank or measure the outside and subtract the width of the tank walls to find the inside measurement. Next multiply the length width and depth measurements to find the cubic volume in cubic inches
Step-by-step explanation:
Slove for x
Show all work
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
[tex]x^2=8(8+42)[/tex]
[tex]x^2=8*50[/tex]
[tex]x=20[/tex]
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