Therefore, the surface area of the rectangular prism is 2600 square inches.
What is surface area?In geometry, surface area is the total area that the surface of a 3-dimensional object covers. It is the sum of the areas of all the faces or surfaces that make up the object. Surface area is often used to determine the amount of material needed to cover an object or to calculate the heat transfer between an object and its surroundings.
Here,
To find the surface area of the rectangular prism, we need to find the area of each of its faces and add them together. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.
Therefore, the surface area of the rectangular prism is:
=2 * (23 in. * 8 in.) (top and bottom faces)
=2 * (36 in. * 8 in.) (front and back faces)
=2 * (23 in. * 36 in.) (left and right faces)
= 368 + 576 + 1656
= 2600 square inches
To know more about surface area,
https://brainly.com/question/29101132
#SPJ1
What is the probability that a sum of a pair of number cubes will be even and greater than 6 if the first cube lands on 4?
I guessed the answer to this question and got it right with 1/18 out of pure luck. I have no idea why it is 1/18! I'd love a quick explanation :D
Answer:
Step-by-step explanation:
If the first cube lands on a 4, then the second cube must land on 4 5 or 6.
It cannot land on 5 because that would make it the sum odd. (4 + 5 = 9)
So that leaves 4 and 6. You cannot use 2 because 4 + 2 = 6. The sum must be greater than 6.
So we are left with 2 results. The second cube should be 4 or 6
The results are 4 and 4
and 4 and 6
The results of throwing 2 dice are 36 ways in all. Only 2 combinations work.
2/36 = 1/18
I'm not sure that this is correct but it is the way done by the person writing the question.
can someone do this for me please?!
The different parts of a circle are radius, diameter, chord, tangent, arc, centre, secant, sector. Write down the circle formulas. If “r” is the radius of the circle, then the formula for the area and the circumference of a circle are:
yolanda makes wooden boxes for a crafts fair. She makes 25 boxes like the one shown, and she wants to paint all the outside faces. What is the surface area of all 25 boxes?
1550 sq. in
hope it helps..!!!
Solve the distance from the ground station to the satellite.
Need Quick!!!
Apply Pythagorean theorem
H²=P²+B²H²=6371²+42157²H²=40589686+1777212649H²=1817802335H=42635km(Approx)Donald writes 6 x 9 = 54. Explain two strategies you could use to check his work.
The local pool must hold a minimum of 12,000 gallons of water. The pool already has 8,000 gallons of water in it and is being filled at a rate of 250 gallons per hour. Drag the solution to the number line to show how many hours it will take to fill the pool with water to its minimum amount required.
Answer:
16 hours
Step-by-step explanation:
Remaining gallons to be filled :
Minimum water - Containing water12,000 - 8,0004,000 gallonsTime to fill 4,000 gallons
Amount to be filled / filling rate4,000 / 25016 hoursAnswer:
Step-by-step explanation:
This is the answer
What is the value of the expression 25 ÷ 5 + (6 x 2) − 4? (2 points) 12 9 7 13
Answer:
13
Step-by-step explanation:
you use the system of equations...
:)
A. -25
B. 15
C. 25
D. 40
E. 65
Answer:
E.65
Step-by-step explanation:
i need some help on who worked the fastest
Answer:
B. Kevin
Step-by-step explanation:
First off, great job on answering the rest! Kevin worked the fastest because he has the lowest time spent per flyer. This means that for every flyer he spent time working on, he would complete it faster than Bill or Dante. This can also be estimated from the table given because although kevin only made 6, he spent only 24 minutes while Bill spent 56 minutes and only made 8. The smaller minutes spent in comparison to the amount of flyers made shows that Kevin is the fastest.
Adrianna is making flower bouquets. She has 60 roses and 80 daisies. If Adrianna wants to make all the arrangements identical and have no flowers left over, how many roses will be in each bouquet?
Answer:
3
Step-by-step explanation:
60/3=20
80/4=20
Adrianna can make 20 bouquets with 3 roses and 4 daisies each.
I need help with this question
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
The probability of picking a 3 is 1/4.
The probability of picking up a 1 the second time will be 1/3 since there will only be 3 cards left after the first time picking up the 3.
So 1/4 x 1/3 = 1/12
Which expression represents the volume of the prism, in cubic centimeters? 9x2 7x 14x2 7x 16x2 14x 28x2 14x
Answer:
The answer is B
Step-by-step explanation:
Answer: b
Step-by-step explanation:
Members of a baseball team raised $1386.50 to go to a tournament. They rented a bus for $1137.50 and budgeted $20.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answer:
12 players
Step-by-step explanation:
the team started off with $1386.50
subtract $1137.50 for the rented bus
[tex]1386.50 - 1137.50 = 249[/tex]
the team has $249 left for the meals and a meal costs $20.75 for each player.
249 ÷ 20.75 = 12
the team can bring 12 players to the tournament.
The points (8, 0), (0, 9), (0, 0), and (6, 5) are the vertices of a feasible region for a linear programming problem. The objective function for the problem is C = 1.5x + 3.5y. Which point is the maximum value of C?
Answer:
the point 6,5 is the maximum Value of c out of the other points
The model represents an equation. What value of x makes the equation true?
An equation is formed of two equal expressions. The value of x that can satisfy this equation is 1.875.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The model represents the equation as given below,
[tex](6 \times -x)+(6 \times 1) = (2 \times x) + (9 \times -1)\\\\-6x+6=2x-9\\[/tex]
The value of x that can satisfy this equation can be written as,
[tex]-6x+6=2x-9\\\\-6x-2x=-9-6\\\\-8x = -15\\\\8x=15\\\\x = \dfrac{15}{8} = 1.875[/tex]
Hence, the value of x that can satisfy this equation is 1.875.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
Im so lost what the answer is
Answer:
Unfortunately, we can't do anything with 41 as it has no factors. Since [tex]3\sqrt{41}[/tex] is already simplified, try submitting that as your answer. If that doesn't work then try un-doing their steps and get rid of the 3:
[tex]3\sqrt{41}[/tex]
[tex]\sqrt{41(9)}[/tex]
[tex]\sqrt{369}[/tex]
Hope this helps!
Which three measures could be the side lengths of a right triangle? Explain or show your reasoning
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
IMAGE ABOVE
Answer:
Step-by-step explanation:
.
Answer:
[tex]( \sqrt{24} ) ^{2} + 5 {}^{2} = 7 {}^{2} \\ [/tex]
Pythagoras theorem:
a²+b² = c²
where a, b and c are the adjacent, opposite sides and hypotenuse of a right angled triangle respectively.
Therefore, √24 , 5 and 7 are the sides of a right angled triangle.
EVALUATE: -2x-24 WHEN X = 2 AND y = 4.
Answer:
-28
Step-by-step explanation:
-2x-24
-2(2)-24
-4-24
-28
Henri's balance in his savings account was $12,000. The savings
account earns annual simple interest. At the end of four years, the
balance of the account was $13,536. If Henri did not make any
additional deposits or withdrawals during this time, what was the
annual interest rate on this savings account?
18
Answer:
3.2%
Step-by-step explanation:
I = prt
I = $13,536 - $12,000 = $1,536
1,536 = 12,000 × r × 4
r = 1,536/(12,000 × 4)
r = 0.032 = 3.2%
Identify the slope and y-intercept of each of the following lines. Then graph each line.
y + 3 = 2 (x + 4)
Answer:
Below!
Step-by-step explanation:
1. Determining the y-intercept of the line:
The provided equation is in point slope form. To determine the slope and the y-intercept, we need to convert the equation to slope intercept form. Once it is converted to slope intercept form, the constant will be the y-intercept of the line. Start out by simplifying the distributive property on the R.H.S.
[tex]\implies y + 3 = 2 (x + 4)[/tex]
[tex]\implies y + 3 = (2x + 8)[/tex]
Now, open the parenthesis on the R.H.S
[tex]\implies y + 3 = 2x + 8[/tex]
If we take a look at the formula of slope intercept form (y = mx + b), we can see that "y" is isolated on the L.H.S. Thus, we need to subtract 3 both sides to isolate the y-variable.
[tex]\implies y + 3 - 3 = 2x + 8 - 3[/tex]
[tex]\implies y = 2x + 5[/tex]
We can see that the only constant in the equation is 5.
Therefore, 5 is the y-intercept.
2. Determining the slope of the line:
To determine the slope of the line, let's compare the formula with the equation obtained.
[tex]\implies (y = 2x + 5) \ = \ (y = mx + b)[/tex]
Thus, we obtain the following:
y = y2 = m (Slope)x = x 5 = b (Y-intercept)Thus, 2 is the slope of the line.
3. Plotting the line on the coordinate plane:
To graph the line on a coordinate plane, plot the y-intercept on the graph. The y-intercept is ALWAYS plotted on the y-axis.
Thus, the y-intercept plotted on graph is (0, 5).
Furthermore, plot a second point on the graph to draw a straight line through those points.
Determining the second point of the line:
If the slope of the line is 2, it means that the run (x) is 1 and the rise (y) is 2. Thus, we can add 1 to the x-coordinate of the y-intercept and 2 to the y-coordinate of the y-intercept.
⇒ (0, 5) ⇒ x = 0; y = 5 ⇒ Second point: x = 0 + 1; y = 5 + 2⇒ Second point: x = 1; y = 7⇒ Second point: (1, 7)Then, plot these points on the coordinate plane. Keep in mind that plot the x coordinate first, then the y-coordinate next. Once the coordinates are plotted, draw a line from the x-coordinate and another line from the y-coordinate. Finally, use your ruler and draw a line that passes through those two points. Your obtained graph is the graph of the line.
Comapre to slope intercept form y=mx+b
Slope=m=2Y intercept=b=5Can I have help on this? I will award brainliest for the correct answer.
Answer:
7x(x+4)
Step-by-step explanation:
i got answer from mathay
Hey guys! 5th grade math! Does someone think they can help me out with this? offering 20 points for both of these!
Answer:
3 and 8.
9 and 2/6.
Sorry if im wrong I havent been in 5th grade in along time.
Answer:
1. Is D. 3 and 8
2. is B 9 2/6
Step-by-step explanation:
Select all of the expressions that are equivalent to 4x - 5 +6. (Select all that apply.)
A. 4x+ (-5)+(6)
B. 4x - 6+5
C. 4x + 1
D. 5+6 - 4x
I'm pretty sure it's A and D, sorry if I'm wrong
Have a nice day!
Answer:
c and d
Step-by-step explanation:
5+6 - 4x is just 4x - 5 +6 but flipped
4x + 1 is the answer to 4x - 5 +6
Which of 2/5 or 5/8
is closer in value to 1/2?
Answer:
Step-by-step explanation:
PLEASEEEE HELPPP I’m BEGGINGGG
When solving the following equation by completing the square, what would be your
first step?
x^2 - 6x – 40 = 0
Answer: Add 40 to both sides to collect like terms on each side of the equation
Step-by-step explanation: That's the first step
30 POINTS NEED HELP ASAP IN CLASS HURRY!!
Answer:
5. -6/4
6. 1/2
7. 12/15
8. -21/8
Step-by-step explanation:
Steps are in picture
Answer:
Step-by-step explanation:
Fraction division:
Use KCF method
K - Keep the first fraction
C - Change division to multiplcation
F - Flip the second fraction
[tex]5) \dfrac{-6}{11} \div \dfrac{4}{11}=\dfrac{-6}{11}*\dfrac{11}{4}[/tex]
[tex]= \dfrac{-3}{2}\\\\= -1\dfrac{1}{2}[/tex]
[tex]6) 1\dfrac{1}{6} \div 2\dfrac{1}{3}=\dfrac{7}{6} \div \dfrac{7}{3}[/tex]
[tex]= \dfrac{7}{6}*\dfrac{3}{7}\\\\= \dfrac{1}{2}[/tex]
[tex]7) -4\dfrac{1}{5} \div -1\dfrac{3}{4}=\dfrac{-21}{5} \div \dfrac{-7}{4}[/tex]
[tex]=\dfrac{-21}{5}*\dfrac{4}{-7}\\\\= \dfrac{3}{5}*\dfrac{4}{1}\\\\=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]
[tex]8) -6\dfrac{1}{8} \div \dfrac{7}{3}=\dfrac{-49}{8} \div \dfrac{7}{3}[/tex]
[tex]= \dfrac{-49}{8}*\dfrac{3}{7}\\\\= \dfrac{-7}{8}*\dfrac{3}{1}\\\\=\dfrac{-21}{8}\\\\=-2\dfrac{5}{8}[/tex]
Kimaya guesses that 11 is the mean of this data set. 8, 7, 11, 7, 6,`12 Without calculating, determine if Kimaya's guess could be correct.
Answer:
you add up the number and then take that answer and multiply that. with the nuber alone
Step-by-step explanation:
add up 8 7 11 6. 12 and then multiply that answer by 11. how to do it..... 8+7+11+6+12 =? 11×?=
HELP PLEASE
A parking lot charges $7 per day to park on weekdays and $12 per day on weekends.
Jamal parked his car in this lot on 6 days last week and spent a total of $52. How many
weekdays and weekend days did Jamal park?
Answer:
4 weekdays and 2 weekends.
Step-by-step explanation:
6 days.
x = weekdays
y = weekends
7x = amount with weekdays
12y = amount with weekends
7x + 12y = 52, total
x + y = 6, amount of days
solve double variable equation
x = 6 - y, plug in to 1st equation
7(6 - y) + 12y = 52
42 - 7y + 12y = 52
5y = 10
y = 2 weekends
2 + x = 6
x = 4 weekdays
what equals 5 in multiplication and -4 in addition
Answer:
-2 +i-2 -iStep-by-step explanation:
There is no pair of real numbers that have a total of -4 and a product of 5. The complex numbers (-2+i) and (-2-i) will meet your requirements.
__
If the numbers of interest are 'a' and 'b', they will be zeros of the quadratic whose factored form is ...
(x -a)(x -b) = 0
Expanding that, we find an opportunity to use the given sum and product numbers:
x² -(a+b)x +ab = 0
x² -(-4)x +5 = 0
Rewriting this in vertex form gives ...
(x² +4x +4) +1 = 0
(x +2)² +1 = 0
We can find the values of x by subtracting 1 and taking the square root.
(x +2)² = -1
x +2 = ±√(-1) = ±i
x = -2±i
The two numbers of interest are -2+i and -2-i.
Determining Whether a Difference Is Statistically Significant
You calculated the standard deviation of the sample mean differences to be 0.69. You also calculated the sample mean difference to be 1.74. Now you’ll determine whether the difference is significant. For the purpose of constructing the confidence interval, assume that there’s no difference between the population means.
Part A
Determine the 95% confidence interval for the difference of the sample means. Then complete the statements.
The 95% confidence interval is __ to ___ .
Blank 1: -1.26, -1.38, -3.48, -3.44
Blank 2: 3.44, 3.48, 1.38, 1.26
Part B
Which statement is true about the difference of the sample means?
1. The difference of the sample means is not statistically significant because it falls outside the 5% significance level.
2. The difference of the sample means is statistically significant because it falls outside the 5% significance level.
3. The difference of the sample means is not statistically significant because it falls within the 5% significance level.
4. The difference of the sample means is statistically significant because it falls within the 5% significance level.
Part C
What can you conclude about the color of the L-Bow Roni box?
The difference of the sample means is statistically significant because it falls outside the 5% significance level.
How to explain the statisticsThe formula for a 95% confidence interval for the difference between two population means is:
(sample mean difference) ± (critical value) x (standard error of the mean difference)
Assuming a two-tailed test and a sample size greater than 30, the critical value is approximately 1.96. The standard error of the mean difference is calculated by dividing the standard deviation of the sample mean differences by the square root of the sample size.
So, the 95% confidence interval is:
1.74 ± 1.96 x (0.69/√n)
Assuming that the sample size is not given, we cannot calculate the exact confidence interval. However, we can say that the confidence interval will be of the form:
1.74 ± (some number)
Therefore, the 95% confidence interval is a range of values that contains the true population mean difference with 95% confidence.
Blank 1: -1.26
Blank 2: 3.44
In order to determine whether the difference is statistically significant, we need to compare the confidence interval to the null hypothesis of no difference. If the confidence interval does not contain the null hypothesis value, then we can reject the null hypothesis and conclude that the difference is statistically significant at the chosen significance level (5% in this case).
The null hypothesis in this case is that there is no difference between the population means. Since we are assuming this for the purpose of constructing the confidence interval, the null hypothesis value is 0.
The confidence interval in Part A does not contain the null hypothesis value of 0, since it ranges from -1.26 to 3.44. Therefore, we can reject the null hypothesis and conclude that the difference is statistically significant at the 5% significance level.
So, the correct answer is that the difference of the sample means is statistically significant because it falls outside the 5% significance level.
Learn more about confidence interval on
https://brainly.com/question/15712887
#SPJ1