Gabriela will use 1620 square inches of wood to build the open box.
The amount of wood Gabriela will use depends on the surface area of the box, which is the sum of the areas of its six faces. Since the box is open on top, it will have five faces: four sides and a bottom.
The area of the bottom is the area of a rectangle with length 18 in. and width 15 in., which is:
Area of bottom = length x width = 18 in. x 15 in. = 270 in²
The area of each side is the product of the height and the length of the corresponding base, which is:
Area of each side = height x length = 15 in. x 18 in. = 270 in²
So the total surface area of the box is:
Total surface area = 2 x (Area of bottom) + 4 x (Area of each side)
= 2 x 270 in² + 4 x 270 in²
= 1620 in²
Therefore, Gabriela will use 1620 square inches of wood to build the open box.
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8x - 4y = -4 solve for y.
The equation 8x - 4y = -4 have y as the subject to be equal to 2x + 1 expresses in terms of x.
How to evaluate for yTo solve for y in the equation 8x - 4y = -4, we must make y the subject and it should be positive as follows;
8x - 4y = -4
add 4y to both sides
8x - 4y + 4y= -4 + 4y
8x = - 4 + 4y
also to make y the subject;
- 4 + 4y = 8x
add 4 to both sides
- 4 + 4 + 4y = 8x + 4
4y = 8x + 4
factorize the right hand side
4y = 4(2x + 1)
divide through by the coefficient of y
4y/4 = [4(2x + 1)]/4
y = 2x + 1
Hence, the equation 8x - 4y = -4 has y = 2x + 1
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HELP ASAP PLS!!! What is the slope of the line through (0, 5) and (–2, –1)? A. 3 B. –3 C. − 1 3 − 3 1 D. 1 3 3 1
Answer:
3
Step-by-step explanation:
Rise Over Run
The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
which verbal expression represents the algebraic expression x/2+5
The verbal expressions A. half of five more than a number, C. five more than half a number, and D. half of five less than a number represent the given algebraic expression when assigned with a variable. The expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).
The verbal expressions that represent the algebraic expressions are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. To convert these expressions into algebraic form, we need to assign a variable, say x, to the unknown number.
A. Half of five more than a number can be expressed algebraically as 1/2(x + 5). B. Twice a number and five can be written algebraically as 2x + 5. C. Five more than half a number can be expressed algebraically as 5 + 1/2x. D. Half of five less than a number can be written algebraically as 1/2(x - 5).
Therefore, the expressions that represent the given algebraic expression are A. half of five more than a number, C. five more than half a number, and D. half of five less than a number. Expression B represents a different algebraic expression altogether.
To summarize, three of the given verbal expressions represent the given algebraic expression, which can be converted to algebraic form by assigning a variable to the unknown number. These expressions are 1/2(x + 5), 5 + 1/2x, and 1/2(x - 5).
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What percent of 80 is 48? Round your answer to the nearest hundredth if necessary.
Answer:
60%
Step-by-step explanation:
Find the slope of the line passing through each of the following pairs of points.
(−3, 9), (−3, −5)
Answer:
-14/0
Step-by-step explanation:
Well, we know that the formula for slope is rise over run. You might be thinking well what does that mean. It means we are going to take our y values over our x values. So, it will look something like this: -5-9/-3-(-3). Pretty simple right! Now heres a tip, when you see two "negatives" like -3-(-3), you can automatically change it to look like: -3+3! Remember this won't work unless you have those two negatives next to each other. So it doesn't apply to -5-9. Okay lets get to solving. We know that -5-9 is equal to -14 so our equation will now look like: -14/-3+3. We also know that -3+3 will equal to zero. So now our equation looks like -14/0. This should be your answer because you cannot simplify it further.
Please let me know if I was incorrect or if you have any further questions!!! I hope I helped!!
Answer:
the slope is undefined
Step-by-step explanation:
anything over 0 is undefined
CAN SOMEONE HELP ME ASAP THISS IS DUE AT 11:59 tonight
Cody's school is selling tickets to a play. On the first day of ticket sales the school sold 2 adult tickets and 5 child tickets for a total of $38. The school took in $34 on the second day by selling 2 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket?
Answer:
do you still need the answer or no?
Please help me with this question
Answer:
263
280
Step-by-step explanation:
280- 17= 263
263 tickets were the ones which were sold to other people apart from Daniel
So probability that he does not win is 263
280
The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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HELP PLS THIS IS A TEST QUESTION
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
Answer:
y<1/2+2
Step-by-step explanation:
Answer:
I think the answer is A because I learned about slope last year
Name:
The triangles below are similar. Find the value of x.
17.
25° -
25°
x
120°
4
16
X
120°
12
someone help me !!!
Dan bought x grams of sugar. Clare bought 2/5 more than that. Which equation below represents the relationship between the amount of sugar Dan bought, x, and the amount Clare bought, y?
y = 2/5x
y = 4/5x
Y = x + 2/5x
y = x - 2/5x
Urgent please help..
If one zero of 14² − 42² − 9 is the negative of the other, find the value of k �
Given
One of the zeros of 14² − 42² − 9 is the negative of the other.
To find the value of k.
Explanation:
It is given that,
One of the zeros of 14² − 42² − 9 is the negative of the other.
That implies,
Let α, -α be the zeros of the polynomial f(x) = 14² − 42² − 9.
Then,
\(\begin{gathered} f(\alpha)=0 \\ \Rightarrow14\alpha^2-42k^2\alpha-9=0\text{ \_\_\_\_\_\_\lparen1\rparen} \end{gathered}\)Also,
\(\begin{gathered} f(-\alpha)=0 \\ \Rightarrow14\alpha^2+42k^2\alpha-9=0\text{ \_\_\_\_\_\_\lparen2\rparen} \end{gathered}\)Subtracting (1) and (2) implies,
\(\begin{gathered} (2)-(1)\Rightarrow(14\alpha^2+42k^2\alpha-9)-(14\alpha^2-42k^2\alpha-9)=0 \\ \Rightarrow84k^2\alpha=0 \\ \Rightarrow k^2\alpha=0 \\ \because\alpha\ne0\Rightarrow k^2=0 \\ \Rightarrow k=0 \end{gathered}\)Hence, the value of k is 0.
PLS ANSWER THE QUESTION
The maximum value of the data in the box-and-whisker plot is 75.
What is a box-and-whisker plot?A box-and-whisker plot is a standardized representation of statistical data on a plot using a rectangle drawn to represent the distribution of data under five summaries: “minimum”, first quartile [Q1], median, third quartile [Q3], and “maximum.”
The inside vertical line indicates the median value while the lower and upper quartiles are horizontal lines on either side of the rectangle.
Minimum value = 10
Median = 35
Maximum value = 75
Thus, the maximum value, which shows the end of the line, of the data distribution of this box-and-whisker plot is 75.
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an urn contains 14 balls, seven of which are red. the selection of a red ball is desired and is therefore considered to be a success. if a person draws three balls from the urn, what is the probability of two successes?
We get a probability of 3/8 or 0.375.
How to find the probability of two successes?To find the probability of two successes (i.e., drawing two red balls) out of three draws from an urn containing 14 balls (7 of which are red), we can use the binomial probability formula:
\(P(X = 2) = (n\ choose\ x) * p^x * (1-p)^{(n-x)\)
where
n is the total number of draws (3 in this case),
x is the number of successes (2 in this case),
p is the probability of a success on any given draw (7/14 or 1/2 in this case),
and (n choose x) is the number of ways to choose x items out of n items.
Plugging in the values, we get:
\(P(X = 2) = (3\ choose\ 2) * (1/2)^2 * (1/2)^{(3-2)} = 3/8\)
Therefore, the probability of getting two red balls out of three draws is 3/8 or 0.375.
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Beth set a goal of running a total of 24 miles
this week. She ran 3. miles each morning.
Monday - Friday. How many more miles does
she needs to run in order to achieved her
goal?
Answer: 9 more miles
Step-by-step explanation:
3x5(Mon to Fri)=15
24-15=9
9 more miles
C=(r+z / 3) h
what does r equal
Answer:
r= 3C/h - z
Explanation:
divide each side to isolate the variable.
Please someone help meee!!
Option B is the correct answer
what is 9.6=p/5.4 algebra
A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?
A. 0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 ⋅ 10–1
B.0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1
C.4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73
D.5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10–24) = 5.1102
Answer:
Step-by-step explanation:
The correct answer is not the first answer, but the second answer in the middle. The third answer is the correct one because, since it has the correct exponent, that is, 0.51 grams.
_________________________________________________________
The approximate total mass is the number of atoms multiplied by the weight of an atom.
The approximate overall mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom) which is equivalent to a mass of 0.51 grams. (1.67 10⁻²⁴ grams/1 atom) = 0.51102 g ≈ 0.51 g
Answer: B. 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1
Answer:
long story short, the answer is B, 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10-24) = 5.1102 ⋅ 10-1
Step-by-step explanation:
:)
find the area of this figure
Answer:
170 in²
Step-by-step explanation:
This trapezoid is broken up into two shapes: a triangle and a parallelogram.
The formula for area of a triangle is b (base) × h(height) ÷ 2.
The base of the triangle is 4 and the height is 10.
b (base) × h(height) ÷ 2
10 × 14 ÷ 2 = 70
-------------------------------------------------------------------------------------------------------------
The formula for area of a parallelogram is b (base) × h(height).
The base of the parallelogram is 10 and the is 10 as well.
b (base) × h(height)
10 × 10 = 100.
-------------------------------------------------------------------------------------------------------------
Lastly, add both areas.
100 + 70 = 170
Therefore, the area of this figure is 170 in².
charlie's teacher claims that he does not study and just guesses on exams. on an exam with 201 true-falsequestions, charlie answered 53.7% of the questions correctly. calculations using these results show that if hewere really just guessing, there would be roughly 1 chance in 7 that he would do this well. is there statisticallysignificant evidence against the teacher's claim that charlie is just guessing? why or why not?4
There is No statisti-cally signi-ficant evidence against the teacher's-claim that Charlie is just guessing because the probability is very low.
The total number of True-false questions are = n = 201.
The probability of getting a correct answer by guessing is = p = 0.5,
Charlie answered 53.7% = 0.537 of the questions correctly,
So, P(p' ≥ 0.537)
⇒ P(z ≥ (0.537 - 0.5)/√(0.5×0.5)/201,
⇒ P(z ≥ 1.05) = 1 - P(z < 1.05)
⇒ 0.1469
Since, the probability is very low,
Therefore, there is not any significant evidence against the teachers claim.
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a fruit basket contains 12 red apples 6 green apples pineapple and oranges .in simplest form write the ratio of green apples to pineapples
Answer:
I think that the ratio is 1:1
Step-by-step explanation:
Because since the ratio is 6:6, you have to divide both side by 6 and get 1:1. You can't divide it no more (unless if you want it as a decimal). Hope this helped. This is an update.
Help im stuck on this question
Work out the area of the rectangle using a calculator and
giving your answer as a mixed number.
22 cm
5 cm
1
Note: To enter a mixed number in the answer boxes, please use the following method:
Type the fractional part of the mixed number first (e.g. for 6 first enter 5)
Then use the keyboard arrows to return to the front of the box and type the whole number (e.g. for 6
5 enter 6).
Answer:
11 17/21 cm²
Step-by-step explanation:
5 1/6 = (5*6 + 1)/6 = 31/6
2 2/7 = (2*7 + 2)/7 = 16/7
A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²
What is the formula to find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
The probability of event A is P(A) = 1/4 or 0.25.
The formula to find P(A) for a series of simple events is:
P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)
For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:
- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.
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From the mbsa scan performed in task 3, how many users have non-expiring passwords?
Based on the explanation using the combination method, the correct answer to the question is D. All four users have non-expiring passwords.
The MBSA scan likely provided a list of users along with their corresponding password expiration settings. The term "non-expiring passwords" refers to passwords that do not have an expiration date, meaning they remain valid indefinitely.
Now, let's analyze each option given in the question and determine the correct answer using the combination method:
A. 3 of 4:
If three out of the four users have non-expiring passwords, it means that only one user has an expiring password. However, this does not match our definition of non-expiring passwords. Therefore, Option A is incorrect.
B. 1 of 4:
If only one user out of the four has a non-expiring password, it means that the other three users have expiring passwords. This option does not satisfy the condition of non-expiring passwords for the majority of users. Hence, Option B is also incorrect.
C. 2 of 4:
If two users out of the four have non-expiring passwords, it means that the remaining two users have expiring passwords. This option suggests that half of the users have non-expiring passwords, which does not correspond to our definition of non-expiring passwords for the majority of users. Thus, Option C is incorrect.
D. 4 of 4:
If all four users have non-expiring passwords, it means that every user's password is set to never expire. This option aligns with our definition of non-expiring passwords for the majority of users. Therefore, Option D is the correct answer.
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Complete Question:
From the MBSA scan performed in Task 3, how many users have non-expiring passwords?
A. 3 of 4
B. 1 of 4
C. 2 of 4
D. 4 of 4
Colton's mini-van is depreciating at a rate of 5.5% per year. He paid $22,250 for it in 2019. How much will the car be worth in 2025 to nearest cent?
Answer:
$1584.2
Step-by-step explanation:
Given data
R= 5.5%
T= 2025-- 2019= 6years
P= $22,25
Let us apply Compound interest formula
A=P(1-r)^r ------------Note negative for depreciation
A= 2225(1-0.055)^6
A= 2225(0.945)^6
A= 2225*0.712
A=$1584.2
A town currently has a population of 1,000,000, and the population is increasing 6 percent every year. Write a recursive function in now-next form to predict the population at any year in the future.
Answer:
60,000
Step-by-step explanation:
1,000,000 ×.06 = 60,000
it would be an increase of 60,000 in one years time
1,000,000 + 60,000 = 1,060,000