9514 1404 393
Answer:
(b) 976 m³
Step-by-step explanation:
The total surface area is the sum of the areas of the faces and bases.
The two bases are triangles, each with area ...
A = 1/2bh
So, the two of them together will have an area of ...
A = 2(1/2)bh = bh
where b is the base of the triangle, and h is its height. These values are shown as 14 m and 24 m, respectively.
Total base areas = (14 m)(24 m) = 336 m²
__
The total area of the rectangular faces is the sum of products of length and width. The width of each face is the same as the height of the prism, and the sum of face lengths is the perimeter of the triangular base.
The prism height is 10 m, and the perimeter of the base triangle is (14 m +25 m +25 m) = 64 m. Then the lateral area of the prism is ...
Total lateral area = (10 m)(64 m) = 640 m²
So, the total surface area of the prism is ...
base area + lateral area = 336 m² + 640 m² = 976 m²
Carmel is watching a play at the theatre.
The play started at 16 30
The play is 115 minutes long.
When the play ends, Carmel takes 30 minutes to get to the bus stop.
A bus leaves the bus stop at 18 45
Does Carmel get to the bus stop in time to get this bus?
You must show all your working.
Need help
Step-by-step explanation:
play started 16:30
its 115 min long = 1:55 hours
16:30+ 1:55=18:25 hours
now he takes 30 min to reach bus stop
18:25 + 30 mins = 18:55
therefore, he reaches the bus stop 10 mins late
What number is rational, less than 0, greater than -4 but is not an integer?
Emilio is drawing a graph that shows the weight of a baby elephant during the first 6 months of its life. What is the meaning of the point shown on the graph?
Ruby's Weight
A graph has age (months) on the x-axis, and weight (pounds) on the y-axis. A point is at (1, 80).
Using the function concept, it is found that the meaning of the point is that the weight of the elephant during the first month is of 80 pounds.
What is a function?In a function, represented by a set of ordered points (x,y), one value of the input x can be related to only one value of the output y.
In this problem, x is the age in months, while y is the weight in pounds, hence the meaning of point (1,80) is that the weight of the elephant during the first month is of 80 pounds.
More can be learned about the function concept at https://brainly.com/question/12463448
which shapes have 2 obtuse angles? choose
Answer:
a trapizoid has 2 obtuse angles
Step-by-step explanation:
Evaluate the expression when b= 3 and x= -3
B-5x
Answer:
3-5(-3)
3 minus -15
-12
Step-by-step explanation:
Question 2 (2 points)
Find the indicated limit, if it exists. (2 points)
1) 0
2) 8
3) 3
4) The limit does not exist.
Answer:
4) The limit does not exist.
General Formulas and Concepts:
Calculus
Limits
Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit: [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
*Note:
For a limit to exist, the right-side and left-side limits must be equal to each other.
Step 1: Define
Identify
[tex]\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}[/tex]
Step 2: Find Left-Side Limit
Substitute in function [Left-Side Limit]: [tex]\displaystyle \lim_{x \to 5^-} 5 - x[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0[/tex]Step 2: Find Left-Side Limit
Substitute in function [Right-Side Limit]: [tex]\displaystyle \lim_{x \to 5^+} x + 3[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8[/tex]∴ since [tex]\displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)[/tex] , [tex]\displaystyle \lim_{x \to 5} f(x) = \text{DNE}[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
PLEASE HELP ME! Tysm <3 Have a Wonderful Day. The image is below.
Answer:
All apply
Step-by-step explanation:
its asking which aboslute value is less than the absolute value of 14
when you substitute each one it becomes
12<14
0<14
5<14
all make true statements
Find the value of X
2) State the coordinate pair for the point (3,-4) and in which quadrant it lies.
Answer:
True
Step-by-step explanation:
The point with coordinates (-3,4) is located in quadrant II. The point with coordinates (-4,0) is located on the x-axis.
What is the equation of the line that passes through the point (-6, -2) and has a
slope of -1/6?
Answer:
y=-1/6x-3
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/6(x-(-6))
y+2=-1/6(x+6)
y=-1/6x-6/6-2
y=-1/6x-1-2
y=-1/6x-3
I have a mixing bowl that holds 4 liters of liquid. It's not quite big enough for all my cooking needs, so I find the exact same mixing bowl on Amazon that is just twice the size of the bowl I have. How many liters of liquid can the bigger mixing bowl hold?
Answer:
8 liters
4x2=8
Step-by-step explanation:
wild touring the city Bernie buys lunch for his family from a food truck he purchase more Taco for 2.75 and four cheeseburgers if he spent a total of 23.75 how much was each cheeseburger
Answer:
Each cheeseburger was $5.25.
Step-by-step explanation:
He purchased:
A taco for $2.75.
Four cheeseburgers, each for x.
In total, he spent $23.75.
How much was each cheeseburger?
This is the value of x. We have that:
[tex]2.75 + 4x = 23.75[/tex]
[tex]4x = 21[/tex]
[tex]x = \frac{21}{4}[/tex]
[tex]x = 5.25[/tex]
Each cheeseburger was $5.25.
What is true about the slope of the line graphed?
EO
A. The slope is positive.
B. The slope is negative
C. The slope is zero.
D. The slope cannot be determined.
Answer:
B, slope is negative
Step-by-step explanation:
if the line, starting from left, goes down then the slope is negative
The probability of winning a game is 20% how many times should you expect to win if you play 36 times
A reproductive clinic had a success rate of 25% of patients with live births in 2008. They want to update their success rate (the proportion of live births) for 2020. If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval? Round your answer up to the nearest integer.
Answer:
They should sample the results of 1990 patient results.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A reproductive clinic had a success rate of 25% of patients with live births in 2008.
This means that [tex]\pi = 0.25[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval?
They should sample n patients.
n is found for [tex]M = 0.025[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.025 = 2.575\sqrt{\frac{0.25*0.75}{n}}[/tex]
[tex]0.025\sqrt{n} = 2.575\sqrt{0.25*0.75}[/tex]
[tex]\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.025}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.25*0.75}}{0.025})^2[/tex]
[tex]n = 1989.2[/tex]
Rounding up:
They should sample the results of 1990 patient results.
1. True or false:
The ordered pair (3, 4) is a solution for the equation:
5x + 2y = 23
2. True or false:
The ordered pair (0, 4) is a solution for the equation:
5x + 2y = 23
1) true
2)false
Step-by-step explanation:
1) 5(3)+2(4) = 23
= 15+8=23
23=23
thus, (3,4) is solution for 5x + 2y = 23
2) 5(0)+2(4) =23
= 0+8 is not 23
thus, (0,4) is not solution for 5x + 2y = 23
Which angles are adjacent to DFE?
Select all that apply.
9514 1404 393
Answer:
(c) ∠BFD
Step-by-step explanation:
Angle DFE is created from rays FD and FE. An adjacent angle will have one of those rays as one of its sides. Of the offered choices, only ∠BFD includes one of those two rays as one of its sides.
Solving steps for 2x + 14 = 34 ? I know the answer but it's asking me to label the steps
Answer:
2x+14=34
Step-by-step explanation:
Subtract 14 from both sides
2x=20
Divide by 2 on both sides
Hope this helps :)
wallet #1 has 5 $100 bills and 10 $20 bills.
Answer:
Wallet #1 = $500 and Wallet #2 = $200
Step-by-step explanation:
I dont know if that was the answer you were looking for?
sorry if its not... :(
I need help ss is below
Answer:
9± √3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hope this helps u!!
What is the distance from -2 to 0?
O A. 2, because |-2| = 2
ОВ.
1
2
because 1-2) =
2
O c. 2, because 1-21 = -2
D. -2, because |-2| = -2
Answer:
A. 2, because -2=2 2+-2=0 if that makes sense
Gabriel earns $146.25 for working 15 hours. Maria earns $205.00 for working 20 hours. Who earns the most money per hour and how much more?
Please help have to turn in tomorrow
you get 15 points!!!!
Answer: Maria makes $0.50 more per hour
Step-by-step explanation: Doing $146.25/15 and $205/20 you can find that Gabriel makes $9.75/hr and Maria makes $10.25/hr
Answer: Maria makes more, 50 cents more per hour.
Step-by-step explanation:
To solve divide the number of money they made by the amount of hours they worked. 146.25/15=9.75. Gabriel made 9.75 an hour,
205/20=10.25 Maria made 10.25 an hour.
Maria earned the most money per hour.
To find how much more she made subtract the person who made more money by the person who made less money per hour. 10.25-9.75=0.5 Maria earned an extra 50 cents per hour compared to Gabriel.
What fraction is equivalent to. —-
0.45?
Answer:
E. 9/20
Step-by-step explanation:
0.45=45/100=9/20
Answer:
E. 9/20
Step-by-step explanation:
0.45= 45/100
45/100 divided by 5 is 9/20
please help me :(
Picture is below:)
These are the answer choices:
A. 12/13
B. 12/5
C. 13/5
D. 5/13
Answer: A) 12/13
Step-by-step explanation: Tangent is simply just opposite/adjacent. The opposite side of angle x is 12, and the hypotenuse is 13, so your answer is 12/13 :)
Carmen cut a 12 meter piece of cloth into three pieces. The first two pieces were each
3 meters long. What was the length of the other piece?
Answer:
6 Meters long
Step-by-step explanation:
3+3=6
12-6=6
3) If the chocolate inside the package is 335954.96 mm, how much empty volume/space is inside the
container? Show all work and give answers to 2 decimal places
Answer:
A
Step-by-step explanation:
PLEASE HELP I DONT GET THIS AT ALL I BEG U! helppp!! pleaseeee!!
what is the answer please? show step by step
Answer:
D
Step-by-step explanation:
f(x-3) = (x-3)^2 - 8
f(x-3) = (x-3)(x-3) - 8
f(x-3) = x^2 - 6x + 9 - 8
f(x-3) = x^2 - 6x + 1
Help, can anyone help? I’ve been stuck on this question :( I’ll make sure to give Brainly.
Answer:
1,524
Step-by-step explanation:
2,000 x 2%= 40
6,999 x 5%=349.95
20,999 x 5.4% = 1,133.95
40+349.95+1133.95=1,523.90
Find x if (2.5)^x-3 = (0.4)^6+x
Answer:
2.5x=x+3.004096
Sorry, I don't know how to solve this equation.
Step-by-step explanation: