The length of both the triangle's base and height in feet.
length of base = 32ft
height = 14 ft.
The triangle's base and height:The base of a triangle can be any of its sides. The term "base" refers to the both the side and the length (the measurement). The comparable height is really the length of a perpendicular segment from either the base to the opposing vertex.
According to the given data:Given that perhaps the cross-section of the lean-to shelter is a triangle, its area is a triangle.
A = ¹/₂bh
b = length of base
h = height
the base of the triangle is 10 feet more than twice its height, we have that
b = 2h + 10
A = ¹/₂bh
A = ¹/₂(2h + 10)h
A = h² + 5h
Since the area of the triangle is A = 126 ft², we have that;
h² + 5h = 126
h² + 5h - 126 = 0
h² +(14h -9h) - 126 = 0
h² +14h -9h - 126 = 0
h(h + 14) -9(h + 14) = 0
(h + 14)(h - 9) = 0
Hight cant be negative:
h = 14
Length of the base is b = 2h + 10
b = 2h + 10
b = 2(14) + 10
b = 28 + 10
b = 35 ft
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Identify the slope and y intercept of the line for
each equation.
7. y = -5x - 3/4
8. y=1/4x+5
Answer:
7. Slope = -5
Y-intercept = -3/4
8. Slope = 1/4
Y-intercept = 5
Step-by-step explanation:
y = mx + b
Slope = m
Y-intercept = b
list the variables and constants in this expression:
3x+6
Answer:
The variable is x and the constant is 6. The coefficient of the variable is 3.
Step-by-step explanation:
Which data type is used to store real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42?
The float type of data stores real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42.
What is data- type?A data type, in programming, is a classification that specifies which type of value a variable has and what type of mathematical, relational or logical operations can be applied to it without causing an error.
All number types that allow for the possibility of a fractional component, such as 42.7 or pi, are known as floating point types.
The precision of various floating point data types varies depending on how many bits are utilized to represent the digits, which is directly proportional to the total number of bits in the number. In the IEEE standard, for instance:
Single precision floats have a range of around 10-38 to 1038 with a precision of about 7 decimal digits using a total of 32 bits and 24 bits for the digits.Double precision floats, commonly referred to as doubles, have a precision of about 16 decimal digits and a range of roughly 10^-308 to 10^308. They require 64 total bits and 53 bits for digits.Quadruple precision floats, Quad doubles, sometimes known as double doubles, have a precision of about 34 decimal digits and a range of roughly 10^-4932 to 10^4932 using 128 total bits and 113 bits for the digits.Hence, the type of data is floating point.
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-2(7-x) + 4= -4
what’s “x” equal
Answer: x=3
Step-by-step explanation:
-2(7-x) + 4= -4
-14 + 2x + 4= -4
2x - 10= -4
2x = 6
x=3
CAN SOMEONE HELP ME PLEASE I don't know what -2 1/3+(-1 3/4)=? in factions
The solution to the fraction expression -2 1/3 + (-1 3/4) is -4 1/12
How to evaluate the fraction?The fraction expression is given as
-2 1/3 + (-1 3/4) =
Express the terms of the expression as an improper fraction
So, we have
-2 1/3 + (-1 3/4) = -7/3 + (-7/4)
Remove the bracket in the above expression.
So, we have
-2 1/3 + (-1 3/4) = -7/3 - 7/4
Take the LCM in the above expression.
So, we have
-2 1/3 + (-1 3/4) = (-7 * 4 - 7 * 3)/12
Evaluate the difference
-2 1/3 + (-1 3/4) = -49/12
Express the fraction as a mixed fraction
-2 1/3 + (-1 3/4) = -4 1/12
Hence, the solution to the fraction expression -2 1/3 + (-1 3/4) is -4 1/12
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A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
What is it asking for??
please help!! work due tmrw and im stuck on the first half
Answer: 9. x=4 ST=11
10. x=17 UW=67
Step-by-step explanation:
9.
[tex]RS+ST=RT\\RS=6x+1\ \ \ \ \ ST=x+7\ \ \ \ RT=36\\Hence,\\6x+1+x+7=36\\7x+8=36\\7x+8-8=36-8\\7x=28\\[/tex]
Divide both parts of the equation by 7:
[tex]x=4\\ST=x+7\\ST=4+7\\ST=11[/tex]
10.
[tex]UV+VW=UW\\UV=19\ \ \ \ UW=4x-20\ \ \ \ UW=6x-35\\Hence,\\19+4x-20=6x-35\\4x-1=6x-35\\4x-1-4x=6x-35-4x\\-1=2x-35\\-1+35=2x-35+35\\34=2x[/tex]
Divide both parts of the equation by 2:
[tex]17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67[/tex]
How do you write 0.00603 in scientific notation?
Answer: .[tex]306^{-3}[/tex]
Step-by-step explanation:
Answer: +6.03E-3
Step-by-step explanation:
[tex]0.00603=6.03*10^{-3}[/tex]
6.03*10⁻³=+6.03E-3
3y+4x=9
I have to find the literal solution
Answer:
Step-by-step explanation:
3−4x/3 this is for x
y = -4/3x + 3 this is for why I’m not sure which one your trying to solve for
Solve 2 (x-3) ≥-3 (−3+x).
A. x ≤2
B. x <3
C. x ≥3
D. x ≥ 2
[tex]2(x-3)\geqslant -3(-3+x)\implies 2x-6\geqslant 9-3x\implies 2x\geqslant 15-3x \\\\\\ 5x\geqslant 15\implies x\geqslant \cfrac{15}{5}\implies x\geqslant 3[/tex]
Simplify: 3/4y - 2/4y + 7 = 2/4y - 1. Show your work.
help please
I'm assuming the equation is
[tex]\frac{3}{4}y - \frac{2}{4}y+7 = \frac{2}{4}y-1[/tex]
Let me know if the equation is different so I can update the solution.
-----------------
Fractions are a pain to deal with, so it's best to eliminate them whenever we can. In equations like this, we can multiply both sides by 4 since this is the LCD (which stands for "lowest common denominator").
If we multiply both sides by 4, then all the denominators of 4 will cancel.
We'll have these steps:
[tex]\frac{3}{4}y - \frac{2}{4}y+7 = \frac{2}{4}y-1\\\\4\left(\frac{3}{4}y - \frac{2}{4}y+7\right) = 4\left(\frac{2}{4}y-1\right)\\\\3y - 2y + 28 = 2y - 4 \ \ \text{ ... denominators cancel after distributing}\\\\y + 28 = 2y - 4\\\\y- 2y =- 4-28\\\\-y = -32\\\\y = \frac{-32}{-1}\\\\y = 32\\\\[/tex]
Final Answer: y = 32Answer:
[tex]y=32[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{3}{4}y-\frac{2}{4}y+7=\frac{2}{4}y-1[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y+7-7=\frac{2}{4}y-1-7[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y=\frac{y}{2}-8[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y-\frac{y}{2}=\frac{y}{2}-8-\frac{y}{2}[/tex]
[tex]-\frac{y}{4}=-8[/tex]
[tex]4\left(-\frac{y}{4}\right)=4\left(-8\right)[/tex]
[tex]\frac{-y}{-1}=\frac{-32}{-1}[/tex]
[tex]y=32[/tex]
Therefore "y = 32."
Hope this helps.
If the domain of the function f(x) = 3x -2 is {-1, 0, 1}, what is the range of the function?
When x = -2:
f(-2) = -3 (-2) + 1
f(-2) = 6 +1
f(-2) = 7
y = 7
When x = 0:
f(0) = -3 (0) + 1
f(0) = 0 +1
f(0) = 1
y = 1
When x = 3:
f(3) = -3 (3) +1
f(3) = -3 (3) + 1
f(3) = -9 +1
f(3) = -8
y = -8
So, the Range is {7, 1, -8}
Which of these is an example of a systematic random sample?
a.) selecting all the students in a class of 30.
b.) selecting 4 balls from a bag containi
An example of a systematic random sample will be selecting 4 balls from a bag containing. The correct option is B.
What is systematic random sampling?A probability sampling technique called systematic sampling involves picking people from the population at regular intervals, such as every 15th person on a list of the population. This can mimic the advantages of straightforward random sampling if the population is arranged in random order.
Here we have two options a.) selecting all the students in a class of 30.
b.) Select 4 balls from a bag containing 30 balls.
Out of the two options, a systematic random sample will be Select 4 balls from a bag containing 30 balls.
Therefore, the correct option is B.
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Miesha is saving the same amount of money each week. After 2 weeks she saves 85$. After 4 weeks she saves 135. Which equation models the amount of money Miesha will have saved, y after x weeks?
Answer:
work is shown and pictured
The Amari family installed an inground pool with the dimensions shown, what is the volume of the inground pool?
Answer:
23716 cubic feet
Step-by-step explanation:
7^2=49
11^2=121
2^2=4
49x121=5929
2929x4=23716
A Lilly pond starts with 1 Lilly pad and every day the amount doubles. How many Lilly pads are in the pods after d days
After d days the total number of lily in the ponds are . It is an simple example of geometric progression.
The formula to calculate the sum of the first n terms of a geometric progression is given by: Sn = a[(rn – 1)/(r – 1)]. Where r is the common ratio and a is the first number of the progress.
Lilly pond starts with 1 Lilly pad, so a = 1and every day amount doubles, so r = 2. Total number of day is d, so n = d.
Therefore, the total number of lilly in the pond is = 1x[(2d-1)/(2-1)] = 2d-1.
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Abbey wants to use her savings of $1,325 to learn yoga. the total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. choose the inequality that would be used to solve for the maximum number of months for which abbey can learn yoga with her savings. 35x 50 ≤ 1,325 35 50x ≥ 1,325 35 50x ≤ 1,325 35x 50 ≥ 1,325
Answer:
Step-by-step explanation:
Take 1325-35=1290. 1290/30= 43. She will be able to learn 43 Yoga for 43 months.
If m<4=119, what is m<10
Answer: So after applying concept of parallelism m<10 = 119
Step-by-step explanation:
As we have given m<119
In terms of parallelism
m< 4 = m<8
and m<8 = m<10
Therefore
m< 10 = m<4 = 119
So after applying concept we get m<10 = 119.
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f(x) = 12x + 10 is a function which can used to to calculate a person's daily paycheck.
Which would be a reasonable domain for this function?
A: all real numbers
B: 0
C: 0
D: 0
This shows that a reasonable domain for this function is x > -5/6
Domain of a functionThe domain of a function is a value of the independent variable of the function for which it exists.
Given the equation below:
f(x) = 12x + 10
Since the function represents the expression used calculate a person's daily paycheck, then the function f(x) must be greater than zero;
12x + 10 > 0
12x > -10
x > -10/12
x > -5/6
This shows that a reasonable domain for this function is x > -5/6
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I need help on this!!
I don’t see the lateral height, how do I solve for this??
1. (-32) (-3) =? 2. (79) (-2) =?
Answer:
1. = 96
2. = -158
Step-by-step explanation:
When you multiply two negatives the answer is positive, and when you multiply one negative and one positive the answer is negative
HELP PLEASE!!!!!!!
1.What linear equation in slope-intercept form does this graph represent?
2.What was your thought process? Explain how you found your equation. Use complete sentences in your response.
3a. Write a real-world situation that could be modeled by this linear equation. (Your real-world example should be different from other posts.)
3b. Explain how you labeled the X axis and Y axis based on the situation you wrote in 3a.
The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;
1. y = 15•x + 100
2. The slope is first calculated, then the equation is expressed in the point and slope form
3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.
3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership
Which method can be used to find the model linear equation?1. Points on the graph are; (0, 100) and (20, 400)
The slope, m, is therefore;
m = (400 - 100)/(20 - 0) = 15
The equation in slope and intercept form is therefore;
y - 100 = 15•(x - 0) = 15•x
y = 15•x + 1002. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.
The slope and intercept form is obtained from the point and slope form by making y the subject
3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15
3b. The labels for the x and y axis based on the above situation are;
The x-axis represents the number of months of joining the fitness serviceThe y-axis represents the total amount paidLearn more about slope and intercept form of linear equations here;
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Givin g(x) = -x+4, solve for x when g(x)= 0
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
I got you bro dont worry
121= 4(5-3x) +5
121=20-12x+5
The value of 'x' is -8 in the given equation 121 = 4(5-3x) + 5.
What exactly do we mean by equations?A mathematical equation is a statement that connects two expressions with equal values by using the symbol 'equal to.'For example, 3x + 5 = 15.Linear, quadratic, cubic, and other types of equations exist.So, 121 = 4(5-3x) + 5:
121 = 4(5-3x) + 5121 = 20 -12x + 5121 = 25 - 12x-12x = 96x = -96/12x = -8Therefore, the value of 'x' is -8 in the given equation.
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Adam, Craig and Gary play hockey. Adam has scored twice as many goals as Craig. Gary scores 7 more goals than Craig. Altogether they score 51 goals. How many more goals did Adam score than Gary?
Pls help me w thissssss
In this problem, we need to use multiplication and subtraction method to solve it.
_________________________________
x(y) means to multiply x with y
_________________________________
Note that {a = 7} and {b = 6}
First, we need to multiply 4 with {a = 7}, we get:
4(7) = 28
Then, we need to subtract {b = 6} from 28, we get:
28 – 6 = 22
Finally, this simplifies as:
4(7) – 6 = 22
Hope this helps :)
If f(x) = x² – 1, and
g(x) = x + 2, then
f(g(x)) = [? ]x²+[ ]x + []
A point that is Interior to an Angle is found on the Exterior of the Angle
Select the correct response:
True
False
True
the sum of interior angles is equal to exterior
A point that is Interior to an Angle is found on the Exterior of the Angle
The statement is false
How do we explain?
A point that is interior to an angle is located within the angle, not on the exterior. The interior of an angle refers to the region enclosed by the angle's sides.
A point that is interior to an angle is located within the angle, not on the exterior. When we refer to the interior of an angle, we are referring to the space enclosed by the angle's sides and vertex.
In geometric terms, an angle consists of two rays that share a common endpoint called the vertex. The interior of the angle is the region between these two rays while on the other hand, the exterior of an angle refers to the space outside the angle, beyond its sides.
In conclusion, a point that is interior to an angle is found within the angle itself, not on the exterior.
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helppppppppppppppppppppppp
Answer:
see explanation
Step-by-step explanation:
the 2 expressions are difference of squares and factor in general as
a² - b² = (a + b)(a - b)
Then
4w² - 36
= (2w)² - 6²
= (2w + 6)(2w - 6)
and
25[tex]x^{4}[/tex] - 64y²
= (5x²)² - (8y)²
= (5x² + 8y)(5x² - 8y)
