The length, width, and height of a rectangular prism can be represented by the expression (x + 3), (x + 7) and (x - 1). write an expression to represent the surface area of the prism
Answer:
A=2wl+2lh+2hw
A=2(x+7)(x+3)+2(x+3)(x-1)+2(x-1)(x+7)
A=2(x^2+7x+3x+21)+2(x^2-x+3x-3)+2(x^2+7x-x-7)
A=2(x^2+10x+21)+2(x^2-2x-3)+2(x^2+6x-7)
Answer:
6x²+36x+22
Step-by-step explanation:
Surface Area = 2(wl + hl + wh)
Length = (x+3)
Width = (x+7)
Height = (x-1)
Surface Area = 2((x+7)(x+3) + (x-1)(x+3) + (x+7)(x-1))
Then simplify
2((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))
=(2)((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))
=(2)((x+7)(x+3))+(2)((x−1)(x+3))+(2)((x+7)(x−1))
=2x²+20x+42+2x²+4x−6+2x²+12x−14
=6x²+36x+22
Which of these ineqaulities are equivalent to r greater than -11? Check all that apply.
-r -33
-3r 33
Answer:
Are you sure this two are the only choice.
Step-by-step explanation:
And I think it the first one.
Answer:
can you rewrite your answer bc it makes not sense and there's only two answer choices so can you take a ss of your actual problem please and i'll do my best to answer it :)
PLS HELP 100 POINTS The x-coordinate is ____
The y-coordinate is ___
The point is in quadrant ___
Answer: A y-coordinate is the second element in an ordered pair. When an ordered pair is graphed as the coordinates of a point in the coordinate plane, the y-coordinate represents the directed distance of the point from the x-axis. (-1,-4).
Step-by-step explanation:
Answer:
The x-coordinate is –4 . The y-coordinate is –1 . The point is in quadrant III .
Step-by-step explanation:
HELP PLZZZSS EASYYYY 10 POINTS *easy*
Answer:
A. 3:30.
Step-by-step explanation:
180 is 90+90 so that would put it in 3:30.
how does the percent equation relate to proportional quantities?
Answer:
Step-by-step explanation:
Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
Answer:
The proportion is a general case of percentage.
Step-by-step explanation:
Proportion is a general case of percentage.
It describes how much of the total a particular sample is.
For example, if a pie contains eight slices and you have five, the proportion is 5/8.
You have a total of five out of eight.
A percent (the number of parts out of 100) is a special case of proportion where the denominator (“whole”) equals 100 parts.
I suspect that percentages were created to allow a normalized comparison of proportions when the total number of parts was not the same.
Imagine a small pizza with 6 slices and a large pizza with 8 slices.
If Tom got 4 from the first and Ram got 5 from the second, it is not immediately clear who got more from the second.
Converting 4/6 and 5/8 to percentages (66.7 and 62.5) allows you to see when the denominator equals who got relatively "more".
Furthermore, I suspect that 100 was used because we live in a 10-base world (we have 10 fingers, which makes it natural).
Determine whether the lines with the given slopes are parallel, perpendicular, or neither.
m1=−4 & m2=14
Answer:
Parallel
Step-by-step explanation:
Answer:
NeitherStep-by-step explanation:
Parallel lines have same slope, perpendicular lines have negative reciprocal slopes
Given slopes of -4 and 14 are neither same not negative reciprocal, therefore the answer is neither
what is 15 percent 0f 75
which of the following relations or graphs are functions
Answer:
Step-by-step explanation:
The functions are:
(a), (c), (d), (e).
Relations may or may not represent a function.
The relations that are functions are (a), (c), (d), (e)
Graph (a) shows a linear relationship, and all linear relations are functions.
Graph (b) fails the vertical line test, because an x value corresponds to multiple y values; so graph (b) is not a function.
Similarly, ordered pair (f) is not a function because an x value corresponds to multiple y values
Other relations (c), (d) and (e) are functions
Read more about relations and functions at:
https://brainly.com/question/10889102
PLEASE HELP I'M GETTING GRADED ON THIS!!!!
Is this function even, odd, or neither and why?
Answer:
I'm reallly sorry if this is wrong, but I believe it is neither
Step-by-step explanation:
Odd and even functions need to exhibit some sort of reflection symmetry across the x axis (i think--we are learning this rn) and the graph does not seem to show this so i believe it is neither... i could be wrong thooughh
gabe's party will cost $12 if he invites six friends how many friends can Gabe invite if you spend $18
Answer:
i dont like gabe, hes mean to me >:(
Step-by-step explanation:
so no, i wont go to his party :))
Answer:
7
Step-by-step explanation:
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
x= 45
Step-by-step explanation:
the total amount of degrees in a triangle is 180 degrees, so by subtracting 75 and 60 from 180, you'll get 45. :)
Answer:
x=45
cvghjklkjhgfdsdfghjkijuhgtfdfghjki
Which one should I choose
Answer:
3rd one
Step-by-step explanation:
I need some help plz
Answer:
i can't see the equation because of light pleas take again another pic
Answer:
B
Step-by-step explanation:
Of two consecutive integers, twice the smaller is four less than the greater. Find the integers. Provide and equation if you don't have a direct answer.
Answer:
The smaller integer is -3 and the greater integer is -2
Step-by-step explanation:
Equations
Let's call
x = the smaller integer
x + 1 = greater consecutive integer
The relationship between them is that twice the smaller is four less than the greater:
2x = x + 1 - 4
Subtracting x:
x = 1 - 4
Operating:
x = -3
x + 1 = -2
The smaller integer is -3 and the greater integer is -2
Lisa read 45 pages in eight minutes how many minutes would it take her to read 36 pages
Answer:
4 1/2 minutes
Step-by-step explanation:
Find the error & explain why it is wrong:
[tex]( { \frac{4 {x}^{3} }{ {y}^{4} }) }^{ - 2} = \frac{16x {}^{6} }{ {y}^{8} } [/tex]
[tex] \frac{(4 {x}^{3})^{ - 2} }{ { {(y}^{4} )}^{ - 2} } = \frac{16 {x}^{6} }{ {y}^{8} } [/tex]
[tex] \frac{ {16x}^{ - 6} }{ {y }^{ - 8} } = \frac{ {16x}^{6} }{ {y}^{8} } [/tex]
The power of -2 was mistook as 2.
x^2-12x+__=(x-__)2
what’s the answer??
Answer: The answer is x=0
Step-by-step explanation:
Rewrite the equation as a trinomial.
x 2 + 12 x + 0
Move 0 to the right-hand side.
x 2 + 12 x = 0
Divide the coefficient of the x
-term by 2, then square the result. Add the result to both sides.
12 /2 = 6 ;6^2 = 36
x 2 + 12 x + 36 = 36
Factor the perfect square trinomial
x 2 + 12 x + 36
on the left-hand side.
( x + 6 ) 2 = 36
Take the square root of both sides and solve for x .
√ ( x + 6 )^ 2 = ± √ 36 =
x+ 6 = ± 6
x = − 6 + 6 = 0
x = − 6 − 6 = − 12
Check
If x = 0 :
( 0 ) ^2 + 12 ( 0 ) = 0
0 = 0
If x = − 12 :
( − 12 ) ^2 + 12 ( − 12 ) = 0
144 − 144 = 0
0 = 0
Kayla bought 2 books for $8.95 each, how much change would she get from a $20 bill?
Answer:
8.95 + 8.95 = 17.9
20 - 17.9
= $2.1
Rock bands often stack their speakers in an array. One teen banda
has 24 speakers. They stack them at least 2 high, but no taller than
8 high. What are all the different arrays they can make?
8 high. What are all the different arrays they can make?
Answer:
2*12
3*8
4*6
6*4
8*3
Step-by-step explanation:
Find the value of b. Then find the angle measures of the pentagon.
Answer:
b = 90
Step-by-step explanation:
Sum the interior angles of the pentagon and equate to 540
Starting from the top and going clockwise
b + b + 45 + 90 + 2b - 90 + [tex]\frac{3}{2}[/tex] b = 540 ← simplify left side
[tex]\frac{11}{2}[/tex] b + 45 = 540 ( multiply through by 2 to clear the fraction )
11b + 90 = 1080 ( subtract 90 from both sides )
11b = 990 ( divide both sides by 11 )
b = 90
Thus
b + 45 = 90 + 45 = 135
2b - 90 = 2(90) - 90 = 180 - 90 = 90
[tex]\frac{3}{2}[/tex] b = [tex]\frac{3}{2}[/tex] × 90 = 135
The angle measure from the top clockwise are
90°, 135°, 90°, 90°, 135°
IM GIVING BRAINLIEST!!
What two integers between -100 and -20 could be divided to equal a number close to 0?
Find the perimeter of the given figure, round to the nearest tenth
Answer:
2√424 + 62 ≈ 103.1825205639 ≈ 103.2 units
Explanation:
Given the two baselengths, and the perpendicular height of the trapezoid, you can actually find the perimeter through the pythangorean theorem because the perpendicular height or height that forms a right or 90 degree angle makes a right triangle(2 be exact because this is an isoceles trapezoid which has two adjacent right triangles).
This is true of the trapezoid is icosceles.
Answer:
You cannot find the perimeter with numbers given.
Step-by-step explanation:
The top length, base length, and height are not sufficient to determine the perimeter of a trapezoid
A line passes through (-1, 3) and (p, 7) and has a slope of -4/3 Find the value of p.
slope= (x2-xl)(y2-y1)
Answer:
Step-by-step explanation:
y - 3 = - [tex]\frac{4}{3}[/tex] ( x + 1 )
y = - [tex]\frac{4}{3}[/tex] x - [tex]\frac{4}{3}[/tex] + 3
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{5}{3}[/tex]
7 = - [tex]\frac{4}{3}[/tex] p + [tex]\frac{5}{3}[/tex]
[tex]\frac{4}{3}[/tex] p = - 7 + [tex]\frac{5}{3}[/tex]
p = ( - [tex]\frac{16}{3}[/tex] ) × [tex]\frac{3}{4}[/tex] = - 4
4/11 + 3/4 also 8/9 - 2/5 and 2 1/4 + 3 3/8 what is the answer
Answer:
1 5/44, 22/45, 5 5/8
Step-by-step explanation:
Pls give brainliest
can someone plz help me solve this equation :)
6 - (3x + 10) + 4(2 - x) = 15
a) 12 - 7x = 15
b) 4 - 4x = 15
c) 4 - 7x = 15
Answer:
4 - 7x = 15
Step-by-step explanation:
6 - 3x -10 + 8 - 4x = 15
4 - 7x = 15
A person invests 3000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 6500 dollars?
Answer:19.4
Step-by-step explanation:
A=P(1+\frac{r}{n})^{nt}
A=P(1+
n
r
)
nt
A=6500 \hspace{15px} P=3000 \hspace{15px} r=0.04 \hspace{15px} t=?
A=6500P=3000r=0.04t=?
n=4\text{ (quarterly)}
n=4 (quarterly)
6500=3000(1+\frac{0.04}{4})^{4t}
6500=3000(1+
4
0.04
)
4t
6500=3000(1.01)^{4t}
6500=3000(1.01)
4t
\frac{6500}{3000}=\frac{3000(1.01)^{4t}}{3000}
3000
6500
=
3000
3000(1.01)
4t
2.1666667=(1.01)^{4t}
2.1666667=(1.01)
4t
\log(2.1666667)=\log((1.01)^{4t})
log(2.1666667)=log((1.01)
4t
)
\log(2.1666667)=4t\log(1.01)
log(2.1666667)=4tlog(1.01)
Power Rule.
\frac{\log(2.1666667)}{4\log(1.01)}=\frac{4t\log(1.01)}{4\log(1.01)}
4log(1.01)
log(2.1666667)
=
4log(1.01)
4tlog(1.01)
t=\frac{0.3357921}{0.0172855}
t=
0.0172855
0.3357921
t=19.42624\approx 19.4 \text{ years}
t=19.42624≈19.4 years
If DE KL, then M _____ F. Choose the relationship symbol to make a true statement.
Answer:
If DE KL, then M > F. Choose the relationship symbol to make a true statement.
Step-by-step explanation:
4x + (-3) = 5x + 3?????
Hi there! :)
[tex]\large\boxed{x = -6}[/tex]
Solve for x:
4x + (-3) = 5x + 3
Adding a negative number is simply subtracting, therefore:
4x - 3 = 5x + 3
Subtract 4x from both sides:
4x - 4x - 3 = 5x - 4x + 3
-3 = x + 3
Subtract 3 from both sides:
-3 - 3 = x + 3 - 3
-6 = x
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
Isolate the variable.
[tex]4x+(-3)=5x+3[/tex]
[tex]4x=5x+6[/tex]
[tex]0=x+6[/tex]
[tex]x=-6[/tex]
Hope this helps!
A painting is made from three different colors whose ratios are as follows: 4 parts blue, 3 parts red, and 3 parts green. The blue part of the painting took 12 gallons of paint. How many gallons of paint were needed for the green part of the painting
Answer: 9 gallons
Step-by-step explanation:
Given: Ratio of colors in painting:
4 parts blue, 3 parts red, and 3 parts green.
Total parts = 4+3+3 =10
Fraction of blue = [tex]\dfrac{\text{Number of parts of blue}}{\text{total parts}}=\dfrac{4}{10}[/tex]
Since, Quantity of blue color used = 12 gallons
Let total quantity of color be x,
[tex]\dfrac{4}{10}x=12\\\\\Rightarrow\ x=\dfrac{120}{4}=30\text{ gallons}[/tex]
Total color used = 30 gallons
Color used for green part only = [tex]\dfrac{3}{10}\times30 = \text{9 gallons}[/tex]
Hence, 9 gallons of paint were needed for the green part of the painting.
Whats the distance (7,0) and (-8,45)
Answer:
[tex]d = 15\sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 0)
Point (-8, 45)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-8-7)^2+(45-0)^2}[/tex]Subtract: [tex]d = \sqrt{(-15)^2+(45)^2}[/tex]Exponents: [tex]d = \sqrt{225+2025}[/tex]Add: [tex]d = \sqrt{2250}[/tex]Simplify: [tex]d = 15\sqrt{10}[/tex]