The best interpretation is A) We are 95% confident that the proportion who intend to vote for Candidate R from the random sample is between 42% and 52%.
The confidence interval is constructed based on the sample data, not the population. The interval represents the range in which the true proportion of people who intend to vote for Candidate R in the population is likely to fall, given the sample data. The margin of error of 5% indicates that the estimate may be off by up to 5%. So, there is a 95% chance that the true proportion is between 42% (47% - 5%) and 52% (47% + 5%).
Option D) We are 95% confident that the proportion who intend to vote for Candidate R from the population is 47% is not correct because there is always some degree of uncertainty in sample estimates. The confidence interval takes into account this uncertainty by providing a range of possible values.
Option E) We are confident that 95% of the population intended to vote for Candidate R is not correct because the confidence level refers to the level of confidence in the estimate, not the proportion of people who actually intend to vote for the candidate.
To learn more about random sample data:
https://brainly.com/question/24466382
#SPJ4
The Smiths paid Maeve $6 an hour to babysit. The Blacks paid her $8 an hour. During one week, Maeve babysat for the Smiths for four hours and for the Blacks for three hours. How much did she earn in total that week?
Maeve earned
Answer:
48$
Step-by-step explanation:
6 times 4 equals 24 and 8 times 3 equals 24. 24 plus 24 equals 48.
Answer:
$ 48
Step-by-step explanation:
Smiths payment:
To find the amount Maeve earned for 4 hours, multiply the unit rate (per hour $6) by 4.
Payment made to Maeve for 1 hour = $ 6
Payment made to Maeve for 4 hour = 6 * 4
= $ 24
Blacks payment:
To find the amount Maeve earned for 3 hours, multiply the unit rate (per hour $8) by 3.
Payment made to Maeve for 1 hour = $ 8
Payment made to Maeve for 3 hours = 3 * 8
= $ 24
To find the total earnings, add the amount given by Smith and Black
Maeve earnings = 24 + 24
= $ 48
When you solve the equation x^3−4x^2+3x=0,
how many roots are greater than 1/3
?
Answer:
0
Step-by-step explanation:
[tex] {x3 \: - 4 {x \: }^{2} + 3x \: = 0}^{} [/tex]
solve for x
[tex]x 1 = 0 \\ x2 \: = 1 \\ x3 \: = 3[/tex]
The article "Determination of Most Representative Subdivision" gave data on various characteristics of subdivisions that could be used in deciding whether to provide electrical power using overhead lines or underground lines. Data on the variable x = total length of streets within a subdivision are as follows.
1280 5320 4390 2100 1240 3060 4770 1050 360 3330 3380 340 1000 960 1320 530 3350 540 3870 1250 2400 960 1120 2120 450 2250 2320 2400 3150 5700 5220 500 1850 2460 5850 2700 2730 1670 100 5770 3150 1890 510 240 396 1419 2109
(a) Fill in a stem-and-leaf display for these data using the thousands digit as the stem. Do not truncate numbers. For example, number 2380 has stem-"2" and leaf-"380". (Enter solutions from smallest to largest. Separate the numbers with spaces.)
0 100 240 340 360 396 396 450 500 510 530 540 960 960
(b) Fill in the table below. (Round your answer to four decimal places if needed.)
Class Interval Frequency Relative Frequency
0 - <1000
2000 - < 3000
4000 - < 5000
5000 - < 6000
(c)
What proportion of subdivisions has total length less than 2000?
What proportion of subdivisions has total length between 2000 and 4000? (Round your answer to four decimal places if needed.)
a) The data is not symmetric
b) The complete table:
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298c) Proportion of subdivisions has total length less than 2000 is 0.49
Proportion of the subdivisions has total length between 2000 and 4000 is 0.36
a) To draw the stem and leaf plot we take the thousandth place digit as stem and the leaf is obtained by remaining digits.
Stem Leaf
0 360, 340, 960, 530, 540, 960, 450, 500, 100, 510, 240, 3961 280, 240, 050, 000, 320, 250, 850, 670, 890, 4192 100, 400, 120, 250, 320, 400, 460, 700, 730, 1093 060, 330, 380, 350, 870, 150, 1504 390, 7705 320, 700, 220, 850, 770The data is not symmetric
b) To draw the histogram first we form the frequency distribution and the relative frequency using the formula
Relative Frequencies are given by
Relative frequency = Frequency / Total frequency
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298= 47
Histogram attached at end of solution
The histogram is approximately positively skewed.
c) Proportion of lengths less than 2000 = sum of relative frequency from 0 to 2000
= 0.26 + 0.23
Proportion of subdivisions has total length less than 2000 = 0.49
Proportion of length between 2000 and 4000 = sum of relative frequency between 2000 and 4000
= 0.21 + 0.15
Proportion of the subdivisions has total length between 2000 and 4000 = 0.36
For more questions on Class Interval Frequency
https://brainly.com/question/30194811
#SPJ4
You are going down a road with 2% grade
you are going down 1 feet every (blank) feet horizontally.
the slope of the road as a reduced fraction is
im stuck on the same thing
The number of cars sold by a car dealer last month. Is it qualitative or quantitative
Mikoy is currently 34 years old. His daughter is 22 years younger than him. In how many years will Mikoy’s age be 24 years less than three times as old as his daughter?
Answer:
three times
Step-by-step explanation:
Please find the attachment for detail
A phone company offers two monthly plans. Plan A costs s12 plus an
additional s0.14 for each minute of calls. Plan B costs s28 plus an additional
50.12 for each minute of calls.
The plan cost same for 800 minutes.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Plan A costs $12 plus an additional $0.14 for each minute of calls.
Plan B costs $28 plus an additional $0.12 for each minute of calls.
let the number of minutes for which two plans are equal be x.
so, 12 + 0.14x = 28 + 0.12 x
12 - 28 = 0.12x - 0.14x
-16 = -0.02x
x= 800 minutes
and, the plan cost
y = 12 + 0.14x
y = 12 + 0.14(800)
y = $124
Learn more about Algebra here:
https://brainly.com/question/29120949
#SPJ1
Ian has $28 in his checking account if he writes a check for $12 how much money is left in his account?
Ian would have $16 left in his checking account.
Here is the working:
$28 (starting amount) - $12 (check written)
= $16 (remaining amount)
You use a garden hose to fill a wading pool. If the water level rises 14 centimeters every 3 minutes and you record the data point of (6,y), what is the value of y? Use slope to justify your answer.
The value of y is 28.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The water level rises 14 centimeters every 3 minutes.
This means,
14 cm = 3 minutes
This can be written as,
(3, 14)
Now,
14 cm = 3 minutes
Multiply with 2 on both sides.
2 x 14 cm = 6 minutes
28 cm = 6 minutes
This can be written as,
(6, 28)
Thus,
The y value is 28.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
If algebra tiles have the dimensions shown here, what would you call this tile collection?
In other words, what is the total area of all of the pieces?
The algebraic equation of the total area of all of the pieces is 4x + 6y + 6x² + 2xy + y².
What is the linear equation?
Linear equations are the equations of degree 1. It is the equation for the straight line. The standard form of linear equation is ax+by+c =0, where a ≠ 0 and b ≠ 0.
We have given,
Collection of tiles of the same dimensions.
x, x², y, y², and xy.
The question examines the calculation,
Total Area = 1* x * 4 + 1 * y * 6 + x * x * 6 + x * y * 2 + y * y *1
= 4x + 6y + 6x² + 2xy + y²
Area = 4x + 6y + 6x² + 2xy + y².
Therefore, The algebraic equation of the total area of all of the pieces is 4x + 6y + 6x² + 2xy + y².
To learn more about the linear equation visit,
brainly.com/question/2030026
#SPJ1
.6(2x +4.5y) -.3y = m(x+ny) solve for n
Answer:
n=0.2(6x+12y-5mx)/my
Step-by-step explanation:
Gavyn was thinking of a number. Gavyn doubles it and adds 4.4 to get an answer of 85.8. Form an equation with x from the information.
Answer:2x+4.4=85.8
Step-by-step explanation:
pretty sure this is the answer
Gavyn doubles the number and adds 4.4 so -> 2x+4.4 and that equals to 85.8
so it's 2x+4.4=85.8
Answer:
Step-by-step explanation:
If the original number is x, then we can say:
2x+4.4=85.8
2x=85.8-4.4
2x=81.4
x=40.7
To check,
40.7*2=81.4
81.4+4.4=85.8
Hence, x is 40.7
determine if b is in the span of the other given vectors. if so, express b as a linear combination of the other vectors. (if b cannot be written as a linear combination of the other two vectors, enter dne in both answer blanks.) -1 -2 -6
a1 = 3 a2 = -3 b= 9
-1 6 2
Yes, b(-6, 9, 2) is in the span of the other given vectors [tex]a_1[/tex] = (-1, 3, -1), [tex]a_2[/tex] = (-2, -3, 6).
b as a linear combination of the other vectors [tex]a_1[/tex] and [tex]a_2[/tex]
b = c [tex]a_1[/tex] + d [tex]a_2[/tex]
A vector is a quantity that has magnitude and direction.
We say that a vector u spans vectors v, w if u = av + bw where a and b are scalars.
As per the given data:
[tex]a_1[/tex] = (-1, 3, -1), [tex]a_2[/tex] = (-2, -3, 6), b = (-6, 9, 2)
We need to write vector b as a linear combination of vectors [tex]$a_1[/tex] and [tex]a_2$[/tex].
Let c and d be scalars.
b = c [tex]a_1[/tex] + d [tex]a_2[/tex]
(-6, 9, 2) = c(-1, 3, -1) + d(-2, -3, 6)
(-6, 9, 2) = (-c - 2d, 3c - 3 d, -c + 6d)
-6 = -c - 2d........(i),
9 = 3c - 3d ...... (ii),
2 = -c + 6d .......(iii)
b = c [tex]a_1[/tex] + d [tex]a_2[/tex]
On solving equations (i) and (ii), we get c = 4, d = 1
Now, we will check if c = 4, and d = 1 satisfy equation (iii).
= - c + 6d
= -4 + 6(1)
= -4 + 6
= 2
As it satisfies this equation, so b is a linear combination of [tex]$a_1[/tex] and [tex]a_2[/tex]
For more questions on vectors
https://brainly.com/question/14677899
#SPJ4
Determine if b is in the span of the other given vectors. If so, write b as a linear combination of the other vectors. (if b cannot be written as a linear combination of the other two vectors, enter done in both answer blanks.) a1=[-1 3 -1],a2=[-2 -3 6],b=[-6 9 2]
A state imposes a 5% sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford. Assume that p ≥ $175.
A state imposes a 5% sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford. Assume that p ≥ $175.
A state imposes a 5% sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford. Assume that p ≥ $175.
A state imposes a 5% sales tax on items of clothing that cost more than $175. The tax applies only to the difference of the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford. Assume that p ≥ $175.
A state imposes a 5% sales tax on items of clothing above $175. The tax applies only to the difference between the price of the item and $175. A shopper has $400 to spend on a new suit. Write and solve an inequality to find the prices p of suits that the shopper can afford.
The solution of the inequality means p = { range of values greater than $175 up until $400 }
We need to write and solve an inequality to find the prices p of coats that the shopper can afford.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the value of price, p of coats the shopper can afford is greater than $175.
p > 175 can be translated as 175 < p
The shopper has $400 to spend on a winter coat such, p ≤ $400 .
The two inequalities can therefore be combined to yield a single inequality thus;
175 < p ≤ $400
The solution for prices of coat, p that the shopper can afford ranges between;
p = { range of values greater than $175 up until $400 }
Learn more about inequality ;
brainly.com/question/14164153
#SPJ1
C is equidistant to which of the following points?
If you guys answer you get 10 points
C is equidistant to the following points: CL=CM=CN
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
One of the triangle's centers where the bisectors of the inner angles converge is known as the incline
The circumcenter of a triangle, which is equal distances from all the vertices, is where the perpendicular bisectors of the triangle meet.
so, C is equidistant to the following points: CL=CM=CN
To learn more about the right-angle triangle here:
brainly.com/question/3770177
#SPJ1
which equation is graphed along with the parent function?
Equation graphed along with the parent function is, g(x) = ∛(x-3) + 4
The correct option is B.
What is graph of a function?The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x).
Given that;
Graph of a parent function.
And, Equation is graphed along with the parent function.
Here, The Parent function is,
f(x) = ∛x
Hence, By the graph,
There is 3 unit horizontal shift to positive side, and 4 unit vertical shift to upwards in parent function
Thus, The function drawn along with it is;
g(x) = ∛(x-3) + 4
Hence, g(x) = ∛(x-3) + 4 is the equation, graphed along with the parent function.
Learn more about graph of function here:
brainly.com/question/9834848
#SPJ1
The complete question is this,
Which equation is graphed along with the parent function?
g(x)= ^3 √x+3 +4
g(x)= ^3 √x-3 +4
g(x)= ^3 √x-4 +3
g(x)= ^3 √x+4 +3
What is the product of x(x+1)?
pls help me with math matching i’ll give you brainlist
The matching of equations with their characteristic is as shown:
a) Neither parallel nor perpendicular lines
b) these are perpendicular lines
c) these are parallel lines
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Rewrite the equations that need to be in y=mx+b form, then compare the slopes ( m values )
a) y= -4x +5 , y=(-1/4)x - 6
Neither parallel nor perpendicular lines
b) y=3x+5 , y= (-1/3)x - 7
The slopes are m and -1/m , these are perpendicular lines
c) The slopes are equal
So, these are parallel lines
To learn more about the slope from the given link
https://brainly.com/question/16949303
#SPJ1
 How many solutions will this equation have?
7(5x + 2) = 5x + 2
O
0000
0
a
b
d
=
f
There is no way to know
Two solutions
Three solutions
No solution
Infinite solutions
One solution
Answer:
[tex]\Huge \boxed{\textbf{F. One solution}}[/tex]
Step-by-step explanation:
To find the number of solutions for the given equation, we can start by simplifying and solving the equation.
First, distribute the 7 on the left side of the equation:
[tex]\tt{35x + 14 = 5x + 2}[/tex]Now, subtract 5x from both sides:
[tex]\tt{30x + 14 = 2}[/tex]Next, subtract 14 from both sides:
[tex]\tt{30x = -12}[/tex]Finally, divide by 30:
[tex]\tt{x = -12/30}[/tex]Simplifying the fraction, we get:
[tex]\tt{x = -2/5}[/tex]Since we found a unique value for x, the equation has only one solution.
Therefore, the correct answer is option F.
Learn more on how to figure out the number of solutions of an equation
↳https://brainly.com/question/15242159
↳https://brainly.com/question/21047962
#BTH1
________________________________________________________
false or true the square roor of 361 is 19
The answer to your question is true
Answer:
true, the square root of 361 is 19
Step-by-step explanation:
( ﾟｰﾟ)ﾉ
the model shows that there are 9 picecs that are ft long i ready
Answer:
The model shows that there are 9 pieces that are each ft long.. The model shows that there are 9 pieces that are - 1.
Your family has a new swimming pool which has a volume of 60m³. Determine the number of gallons of water that will be needed to fill the empty swimming pool to 94% of its capacity. Write your answer rounded to 3 decimal values.
Answer: To convert cubic meters (m³) to gallons, we can use the conversion factor 1 m³ = 264.172 gallons.
First, we need to find the amount of water needed to fill the pool to 94% of its capacity. We can do this by multiplying the volume of the pool (60 m³) by 94% (0.94).
60 m³ * 0.94 = 56.4 m³
Now we can use the conversion factor to convert the volume in cubic meters to gallons:
56.4 m³ * 264.172 gallons/m³ = 14,958.2 gallons
So the number of gallons of water that will be needed to fill the empty swimming pool to 94% of its capacity is 14,958.2 gallons.
Rounded to 3 decimal values is 14,958.2 gallons.
Step-by-step explanation:
joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 5050 total rooms. Joe had already reserved and paid for 16 1616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 88 rooms and costs $ 900 $900dollar sign, 900. Let B BB represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? Choose 1 answer: Choose 1 answer: (Choice A) A 16 + 8 B ≤ 50 16+8B≤5016, plus, 8, B, is less than or equal to, 50 (Choice B) B 16 + 8 B ≥ 50 16+8B≥5016, plus, 8, B, is greater than or equal to, 50 (Choice C) C 16 + B ≤ 50 16+B≤5016, plus, B, is less than or equal to, 50 (Choice D) D 16 + B ≥ 50 16+B≥5016, plus, B, is greater than or equal to, 50 2) What is the least amount of additional money Joe can spend to get the rooms they need? dollars
If Joe can only reserve rooms in blocks, and each block contains 8 rooms and costs $900 , then inequality describes this scenario is (b) 16 + 8B ≥ 50 .
the number of rooms that Joe has already reserved = 16 rooms ;
the number of additional blocks that Joe reserved is = 8 blocks
they need at least 50 total rooms , which means that the total number of rooms that Joe has reserved, including the blocks he needs to reserve.
The expression "16 + 8B" represents the total number of rooms that Joe has reserved, as he has already reserved 16 rooms and each block contains 8 rooms.
Therefore, The inequality represents the constraint that Joe must meet in order to ensure that the company has enough rooms for the trip is 16 + 8B ≥ 50 .
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms.
He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900 , "B" represent the number of additional blocks that Joe reserves
Which inequality describes this scenario?
(a) 16 + 8B ≤ 50
(b) 16 + 8B ≥ 50
(c) 16 + B ≤ 50
(d) 16 + B ≥ 50
Learn more about Inequality here
https://brainly.com/question/29150126
#SPJ4
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it
The axis of symmetry for the function f(x) is x = 8 , and h(x) is x = 3
What is the axis of symmetry of a quadratic function?The axis of symmetry is a hypothetical straight line that splits a form into two identical halves, making one half the mirror image of the other. Both pieces are overlaid when folded along the axis of symmetry.
A straight line called the axis of symmetry is what gives an object its symmetrical form and exactly the same reflections are produced on each side of the axis of symmetry on the graph.
From the given information:
f(x) = -4(x - 8)² + 3
Use the vertex form, y = a ( x − h )² + k, to determine the values of a, h, and k.
a = -4, h = 8, k = 3Since the value of a is negative, the parabola opens down, and the vertex (h, k) is (8, 3).
The distance (p) from the vertex and the focus of the quadratic equation can be calculated by using the formula:
P = 1/4a
Replacing the value of a from above:
P = 1/4(-4)
P = -1/16
The focus of a parabola can be determined by adding the p to the y-coordinate k if the parabola opens up or down. Thus, (h, k + p) = (8, 47/16).
Thus, the axis of symmetry is finally estimated by finding the line that passes through the vertex and the focus;
Axis of symmetry x = 8
For the graphical function of h(x); we use the following points on the graph to determine the equation of the parabola: (1,-2), (3,2), (5,-2)
Thus, h(x) = -x² + 6x - 7
Rewriting the function in its vertex form, we have:
y = - (x - 3)² + 2
Using the vertex form;
a = -1, h = 3, k = 2The vertex (h,k) = (3,2). The axis of symmetry (x) is the line that passes through the vertex and the focus, x = 3.
Learn more about the axis of symmetry here:
https://brainly.com/question/30340495
#SPJ1
9. The temperature is 80 degrees at noon, and the high and low temperatures during the day
are 90 and 70 degrees, respectively. Assuming t is the number of hours since noon, find a
function for the temperature, D, in terms of t.
https://brainly.com/question/25317034Assuming t is the number of hours since noon, a slope equation for the temperature, D, in terms of t is 80 ± 10t.
What is the slope?The slope refers to the change in y value resulting from a change in x.
The slope is also described as the quotient of the rise and run.
The slope refers to the rate of change along the regression line.
Temperature at noon = 80 degrees
High temperature during the day = 90 degrees
Increase in temperature from noon = 10 degrees (90 - 80)
Low temperature during the day = 70 degrees
Decrease in temperature from noon = -10 degrees (70 - 80)
Learn more about the slope and temperature changes at https://brainly.com/question/25317034
#SPJ1
Please help me with this question.
The exact value of trigonometric function is ,
sin(60°+45°)= [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]
cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex] = [tex]\frac{\sqrt2+\sqrt6}{4}[/tex].
What is trigonometric function?
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Here the given is
a) sin(60°+45°)
Now using formula sin(t+s)= sin t cos s+ cos t sin s then
=> sin60°cos45°+cos 45°sin60°
=> [tex]\frac{\sqrt3}{2}\times\frac{\sqrt2}{2}+\frac{1}{2}\times\frac{\sqrt2}{2}[/tex]
=> [tex]\frac{\sqrt6}{4}+\frac{\sqrt2}{4}[/tex]
=> [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]
b) cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex]
Now using formula cos(t-s)=cos t cos s + sin t sin s then
=> [tex]cos\frac{\pi}{3} cos\frac{\pi}{4}+ sin\frac{\pi}{3}sin\frac{\pi}{4}[/tex]
=> [tex]\frac{1}{2}\times\frac{\sqrt2}{2}+\frac{\sqrt3}{2}\times\frac{\sqrt2}{2}[/tex]
=> [tex]\frac{\sqrt2}{4}+\frac{\sqrt6}{4}[/tex]
=> [tex]\frac{\sqrt2+\sqrt6}{4}[/tex]
Hence the exact value of trigonometric function is ,
sin(60°+45°)= [tex]\frac{\sqrt6+\sqrt2}{4}[/tex]
cos[tex](\frac{\pi}{3}-\frac{\pi}{4})[/tex] = [tex]\frac{\sqrt2+\sqrt6}{4}[/tex].
To learn more about trigonometric function refer the below link
https://brainly.com/question/25618616
#SPJ1
pls help I really need this ASAP
can someone just try to answer this ?:(
Ima fail
Answer:
-2 <n>5 I believe? that's all I know
Answer:
below
Step-by-step explanation:
For the LEFT part
n < -2 or -2 > n
for the RIGHT part
n>5
combine these two to get -2 > n > 5
Solve x^2-7x=-12
Need help
Answer:
x=4 and x=3
Step-by-step explanation:
What is the height of the triangular prism if the Surface Area is 180 inches squared
Answer:
4 in
Step-by-step explanation:
Surface area = 1/2 ( 5x12) *2 + 5 x h + 13 * h + 12 x h
60 + 30h = 180
h = 4 in
just a quick addition to "jsimpson11000" posting above
keeping in mind that for a triangular prism, the base is always the triangular face.
Check the picture below.
[tex]5h~~ + ~~12h~~ + ~~\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(12)(5) \right]}~~ + ~~13h~~ = ~~180 \\\\\\ 60+30h=180\implies 30(2+h)=180\implies 2+h=\cfrac{180}{30} \\\\\\ 2+h=6\implies \boxed{h=4}[/tex]
