Given:
The base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.
To find:
The volume of the triangular prism.
Solution:
Base of a triangular prism is a triangle with base length 6ft and height 5 ft.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
So, the area of the base is
[tex]B=\dfrac{1}{2}\times 6\times 5[/tex]
[tex]B=\dfrac{30}{2}[/tex]
[tex]B=15[/tex]
Now, the volume of a triangular prism is
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting B=15 and h=7, we get
[tex]V=(15)(7)[/tex]
[tex]V=105[/tex]
Therefore, the volume of the triangular prism is 105 cubic ft.
(c)
2x - 3y = 1
3x + y=-5
Solve geographically
Answer:
1) x=3/2y+1/2
2)x=-1/3y+-5/3
Step-by-step explanation:
1)
Let's solve for x.
2x−3y=1
Step 1: Add 3y to both sides.
102x−3y+3y=1+3y
2x=3y+1
Step 2: Divide both sides by 2.
2x/2
=
3y+1/2
x=3/2y+1/2
In a financial crisis, the number of bankruptcies will likely be ____ and the company profits will likely be O A. larger; larger O B. smaller; smaller C. smaller; larger O ; D. larger; smaller
Answer:larger ,smaller
Step-by-step explanation:
Answer:
larger, smaller
Step-by-step explanation:
on aoex
the same digits are used for the expression 2^5 and 5^2 explain how to compare the value of the expressions
the value of 2⁵ is greater than the value of 5² because 2⁵ is equal to 32 then the value of 5² is equal to 25.
HOPE IT'S HELP#CarryOnLearningwhat is the solution of the exponential equation? use a graph. full calculations,[tex]27=3^{x-2}[/tex] please!!
Answer:
5
Step-by-step explanation:
if i really need to use a graph leave a comment
27=3ˣ⁻²
[tex]x=y^z\\=\\log_{y}x=z\\[/tex]
Which means that
[tex]27=3^{x-2}=\\log_327=x-2\\log_327=\frac{log27}{log3}=3\\3=x-2\\x=5[/tex]
PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answer:
Step-by-step explanation:
h(x) = 7 - x - 2x^5
h(-1) = 7 + 1 - 2(-1)^5
h(-1) = 7 + 1 + 2
h(-1) = 10
Now differentiate h(x)
h'(x) = -1 - 2*5*x^4
h'(x) = -1 - 10x^4
h'(x) = -1 - 10(x)^4
h'(x) = -1 - 10 (x)^4
h'(-1) = -1 - 10(10000)
h'(-1) = -1 - 100000
h'(-1) = - 99999
What is equation of the line graphed below?
[tex](0,0) \longrightarrow \sf{part \: \: of \: \: the \: \: graph} \\ (1, - 3)\longrightarrow \sf{given \: \:coordinate \: \: point}[/tex]
[tex]m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute these coordinate values in.
[tex]m = \frac{0 - ( - 3)}{0 - 1} \\ m = \frac{3}{ - 1} \\ m = - 3[/tex]
Hence, the slope is -3.
Find the y-intercept.From the graph, the line passes through the origin point. Therefore, the y-intercept is (0,0).
Slope-Intercept form[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]
Substitute both m and b in the slope-intercept form.
[tex]y = - 3x + 0 \\ y = - 3x[/tex]
Hence the answer is y = -3x.
Answer[tex] \large \boxed{y = - 3x}[/tex]
4x+14+8x-14=180 find for x
At an ice cream shop, 16 of the last 72 cones sold had pistachio ice cream. What is the
experimental probability that the next cone sold will have pistachio ice cream?
Answer:
2/9
Step-by-step explanation:
Total cones sild= 72
Pistachio ice cream sild= 16
p= 16/72
p=2/9
PLEASE MARK ME AS BRAINLIEST!!!!
Distribute and solve
(p + 24) = 9
Answer:
p+24=9
p=-15
Step-by-step explanation:
plz make me brainliest
help with rounding off!!please
Answer:
Step-by-step explanation:
A.0.4821 ( 3 d.p)=0.482
B.0.595 (2 d.p)= 0.60
C.0.0346(3 d.p)=0.03
D.2.94999(1 d.p)=2.9
Mark me as a brainliest
Simplify the following expressions and evaluate any numerical expressions.
(−3x)2
Select one:
−9x4
−9x2
9x4
9x2
Answer:
-6x
Step-by-step explanation:
Why is it 9? Cuz its not 3(3)
Which of the following is a solution of x2 + 4x + 6? (1 point)
Answer:
I LOVE ALGEBRA anyways
othe ans is in the picture and the steps how got the ans
(hope it helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
Someone help me with this??
Answer:
w = 215 degrees
Step-by-step explanation:
A circle = 360 degrees total. So, 145 + w should equal 360.
145 + w = 360
145 + w -145 = 360 - 145
w = 215
Hope this helps :)
Maybe brainliest?
Researchers make a one-sample z interval to estimate the proportion of adults who would say they learned
something new in the past month. Previous studies have suggested that about 40% would answer "yes" to this
question. The researchers plan on using a confidence level of 95%, and they want the margin of error to be no
more than 25%.
Answer:369
Step-by-step explanation:
A modified roulette wheel has 32 slots. one slot is 0, another is 00, and the others are numbered 1 through 30, respectively. You are placing a bet that the outcome is an odd number. (In roulette, 0 and 00 are neither odd nor even.)<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />
a. What is your probability of winning ?
The probability of winnign is ?
( type an integer or a simplified fraction)
b. What are the actual odds against winning are ?
c. When you bet that the outcome is an odd number, the payoff odds are 1:1. How much profit do you make if you bet $17 and win ?
If you win, the pay off is ?
d. How much profit should you make on the $17 bet if you could somehow convice the casino to change its payoff odds so that they are the same as the actual odds against winning ?
(rounds to the nearest cent as needed.)Type your question here
Answer:
0.46875 ; 1.133 ; $17 ;19.27
Step-by-step explanation:
Number of slots = 32
0, 00, {1,.. 30}
Odd outcomes = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}
1.) probability of winning :
P(winning) = number of odd outcomes / tot possible outcomes
P(winning) = 15 / 32 = 0.46875
2.)
Odds against winning :
Number of losing outcomes / number of winning outcomes
Not odd numbers / odd numbers = 17 /15 = 1.133
C.)
Payoff odd = 1:1
If bet value = $17 ;
Profit made on winning = $17 * 1 = $17
d.)
If Payoff odd = odd against winning = 17 / 15
Profit on $17
17/ 15 * 17
(1.1333333) * 17
= 19.27
;
what is 1/5 + 1/6=
Pls I need help
Answer:
So the first step would be is to multiply the denominators so you would get this:
6/30 + 5/30
Then you would have 11/30 no simplification needed.
Se image below for more info:
Answer:
11/30
Step-by-step explanation:
To add fractions, you need to find the common denominators
the common denominator for 5 and 6 is 30, because 5*6 = 30
1/5 times (6/6) to get a common denominator of 30. Remember, you have to multiply the numerator by 6 too!
1 6 6
_ x _ = _
5 6 30
Now, we just have to multiply 1/6 by (5/5) to get a common denominator of thirty.
1 5 5
_ x _ = _
6 5 30
5 6 11
_ + _ = _
30 30 30
You final answer should be 11/30
A city council organized a marathon race to promote good health. There were 3 times as many female participants as male participants in the marathon. If the total number of participants was 812, how many participants were male
Answer:
609 males
Step-by-step explanation:
A city council organized a marathon race to promote good health.
Let the number of
Females = x
Males = y
There were 3 times as many female participants as male participants in the marathon.
3x = y
If the total number of participants was 812,
x + y = 812..... Equation 1
We substitute 3x for y in Equation 1
x + 3x = 812
4x = 812
x= 812/4
x = 203 females
3x = y
Solving for y
3(203) = 609 males
The number of males participants = 609
A book sold 39,900 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have been sold to date?
Answer:
486,585
Step-by-step explanation:
x = total number of books sold
0.082 x x = 39,900
to find x divide both sides by 0.082
x = 486,585
PLEASE HELP!!!
The perimeter of a rectangular coffee table is given by the trinomial 2t2+4t+2. The table's length is 2t-3. What is the table's width?
Answer:
t^2+4
Step-by-step explanation:
The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:
4t-6+2w=2t^2+4t+2
4t+2w=2t^2+4t+8
2w=2t^2+8
w=t^2+4
This means that the table's width is t^2+4
The following histogram summarizes the ages of the 25 employees who work for Elon's company. According to the 1.5 IQR wall for outliers how many high outliers are there in the data set
Answer:
Step-by-step explanation:
1
The number of high outliers in the data set will be 1.
What is the interquartile range?The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.
To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
The following histogram summarizes the ages of the 25 employees who work for Elon's company. According to the 1.5 IQR wall for outliers. The number of the high outliers will be 1.
Therefore, the number of high outliers in the data set will be 1.
To know more about the interquartile range follow
https://brainly.com/question/4102829
#SPJ2
27 ÷ 3 and 3 ÷ 27
associative property
Yes, commutative property
Yes, identity property
No, they are not equal
which one is it
Answer:
No they aren't equal........
find the value of each angle.
Answer + Explanation:
First, find what the sum of the interior angles must be. You can use the formula 180(n - 2) where n is the number of sides to find this.
n = 5, so 180( 5 - 2) = 180 * 3 = 540 degrees.
Then, you can add up all the interior angles of the pentagon and it will add to 540. This means that:
2x + x + 2x + 90 + 90 = 540
5x + 180 = 540
5x = 360
x = 72
Then you can go through and find the measure of each angle:
S = 90 degrees (given)
T = 2x = 2 * 72 = 144 degrees
U = x = 72 degrees
V = 2x = 72 * 2 = 144 degrees
W = 90 degrees (given)
this time I cannot tell what the answer is
Answer:
Its the first one
Step-by-step explanation:
Evaluate the expression.
-8.x – 3y if x = 4 and y = -2
Answer:
-8.4 + 6 hope this helped!
Step-by-step explanation:
Answer:
-38
Step-by-step explanation:
-8.x – 3y
x = 4
y = -2
Since we have the value for x and y we can use that and substitute it into the expression
-8(4) - 3 (-2)
-32 - 6
When you add 2 negative numbers (or subtract them) they will give you a bigger number so think of it as adding 2 positive numeber, but then putting a negative sign in the beginning of it.
-32 - 6
-38
Hope this helped!
Have a supercalifragilisticexpialidocious day!
25+45+15-31=? what is the anser
Luisa found great deals on the target dollar spot. She bought 35 items and spent a total of $100 on earbuds ($2 each) and fuzzysocks ($3 each). How many earbuds did she buy? how many fuzzy socks did she buy?
Answer:
50 earbuds because
Step-by-step explanation:
half of 100 is 50
Answer:
x=35 earbuds
Step-by-step explanation:
BC has endpoints B(-3,-5) and C(12,12). FInd the coordinates of the midpoint of BC
Answer:
(9/2, 7/2)
Step-by-step explanation:
The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.
So, in your problem (-3 + 12)/2 = 9/2 and (-5 + 12)/2 = 7/2
The midpoint is (9/2, 7/2)
-7 times a = 14? a = -7, right?
Answer:
− 7 ⋅ a
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
Answer:
a = -2
Step-by-step explanation:
-7 * -2 = 14
What is the Y intercept of y=3-4x?
Answer:
13
Step-by-step explanation:
The table shows the highest point of elevation of 5 different states. How much higher is the highest point of elevation in Colorado than Texas ?
Answer:
where is the table
Step-by-step explanation: