Danny bought a new stove packaged in a box shaped like a rectangular prism. The base of the box measures 2 feet by 3 feet. The total surface area of the box is 52 square feet.
The height of the prism is 4ft
What is surface area of prism?A prism is a solid shape that is bound on all its sides by plane faces. There are two types of faces in a prism. The top and bottom faces are identical and are called bases. A prism is named after the shape of these bases. For example, if a prism has a triangular base it is called a triangular prism.
A rectangular prism is known as cuboid
surface area of a cuboid = 2(lb +lh +bh)
52 = 2( 2×3 + 2h.+3h)
(6+ 2h.+3h) = 52/2
6+5h = 26
5h = 26-!6
5h = 20
divide both sides by 5
h = 20/5
h = 4ft
therefore the height of the prism is 4
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rob is asked to graph this system of equations: 6x + 2y = 5; y + 3x =2; how many times will the lines intersect? A. there is no way to tell without graphing the lines first. B. the lines will not intersect, cuz the system only has one system. C. the lines will intersect once. D. the lines will intersect more than once.
Answer:
C
Step-by-step explanation:
A and B are wrong and with D they wouldn't be lines so imma go with C.
Sorry if it's wrong.
What is the equation of the line that is parallel to y=1/3x+4 and passes through (-3, 1);
A y=-3x – 8
B y= 3x + 10
C y=-1/3x
D y= 1/3x+2
Answer:
Step-by-step explanation:
\(y = \frac{1}{3} x +4\) , \(slope, m_1 = \frac{1}{3}\)
Let the slope of the new line be \(m_2\)
Since the lines are parallel , \(m_1 = m_2\)
\(m_2 = \frac{1}{3}\)
\((x_1, y_1) = (-3, 1) \ , \ m_2 = \frac{1}{3}\\\\Equation \ of \ the \ new \ line : (y - y_1) = m(x - x_1)\)
\(y - 1 = \frac{1}{3}(x -(-3)) \\\\y - 1 = \frac{1}{3}(x +3)\\\\y - 1 =\frac{1} {3}x + 1 \\\\y = \frac{1}{3}x + 2\)
Find the surface area from the box shown
Response to the given question would be that Hence, the surface area rectangular box has a surface area of 592 square cm.
what is surface area ?Surface area is a measure of how much space an object's surface takes up overall. The total area of a three-dimensional shape's surroundings is its surface area. Surface area refers to the total surface area of a three-dimensional form. You may compute the surface area of a cuboid with six rectangular sides by adding together their individual areas. Instead, you may use the following formula to name the box's dimensions: Surface (SA) = 2lh plus 2lw plus 2hw. A three-dimensional shape's surface area is calculated as the total amount of space it occupies (a three-dimensional shape is a shape that has height, width, and depth).
Size (l) equals 10 cm
Height (h) = 8 cm
Size (h) equals 12 cm
We may use the following formula to get the box's surface area:
Surface Area = 2(lh, lw, and wh)
Inputting the values provided yields:
Surface Area equals 2 (10 x 8, 10 x 12, and 8 x 12) square centimetres.
Surface Area is equal to 2 (80, 120, and 96 square cm).
Surface Area: 2(296) square centimetres
592 square cm is the surface area.
Hence, the rectangular box has a surface area of 592 square cm.
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Together dante and mia have a total of 350 pennies in their piggy banks.after dante lost 1/2 of his pennies and mia lost 1/3 of her pennies they both had an equal number of pennies.altogether how many pennies did they lose
Dante and Mia lost a total of 100 + 50 = 150 pennies.
Let's denote the number of pennies Dante initially had as "D" and the number of pennies Mia initially had as "M." According to the given information, we know that D + M = 350.
After Dante lost half of his pennies, he would have (1/2)D pennies remaining, and after Mia lost one-third of her pennies, she would have (2/3)M pennies remaining. It is stated that they both had an equal number of pennies after these losses.
Therefore, we can set up the following equation:
(1/2)D = (2/3)M
To simplify this equation, we can multiply both sides by 6 to eliminate the fractions:
3D = 4M
Now we have a system of equations:
D + M = 350
3D = 4M
We can solve this system to find the values of D and M. Multiplying the first equation by 4, we get:
4D + 4M = 1400
Substituting 3D for 4M from the second equation, we have:
4D + 3D = 1400
7D = 1400
D = 200
Substituting D = 200 back into the first equation, we find:
200 + M = 350
M = 150
So, Dante initially had 200 pennies, and Mia initially had 150 pennies.
To find out how many pennies they lost, we need to calculate the difference between their initial amounts and their final amounts:
Dante lost: 200 - (1/2)D = 200 - (1/2)(200) = 200 - 100 = 100 pennies
Mia lost: 150 - (2/3)M = 150 - (2/3)(150) = 150 - 100 = 50 pennies
Therefore, Dante and Mia lost a total of 100 + 50 = 150 pennies.
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please help it is due in 20 minutes and i still have like 5 questions!!!
Answer:
$42.50
Step-by-step explanation:
multiply 50 by 0.15 and get 7.50 subtract from 50
Answer:
$42.50
Step-by-step explanation:
Start off by multiplying 50 by .15 (the decimal of 15%), and you get 7.5. Then all you have to do is subtract 7.5 from 50 and you get $42.50!
I hope this helps, and good luck with your assignment! :)
Please help me I only have 3 minutes left to do this
486lb of grass seed is required to cover the field on the right.
What is Area of Rectangle?The area of Rectangle is length times of width
Let us find the areas of two rectangle larger and smaller.
Area of the larger rectangle:
60×90=5400 square feet.
Now divide the larger square area by the smaller square area:
Area of the smaller rectangle
40×50=200 square feet.
Now divide larger rectangle with smaller
5400/200 =27
27 is the ratio of the difference
27×18=486 lb.
Hence 486lb of grass seed is required to cover the field on the right.
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Jackson has 48 trading cards. His sister gives J him 12 more cards. Then he puts all of his trading cards in 6 equal stacks. How many cards, c, are in each stack
Answer:
there are 10 cards in each stack.
Step-by-step explanation:
if you add 48 (Jacksons cards) and 12 (his sisters cards) you will get 60 (all cards in total). and 60 (total number of cards) divided by 6 (number of piles) is 10. there will be 10 cards in each stack!
4x-y=1 Write in y=mx+b Form
The equation in the form of y= mx +b is y= 4x-1.
We have the equation 4x - y =1.
We know the slope intercept form of line as
y= 3x + b
where m is the slope and b is the y intercept.
Now, writing the equation 4x - y= 1 in slope intercept form as
y = 4x - 1
where the slope is 4 and intercept is -1.
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Alacrosse player throws a ball in the air from an initial height of 7 feet.
The ball has an initial vertical velocity of 90 feet per second. Another player catches the ball when it is 3 feet
above the ground. How long is the ball in the air? Round your answer to the nearest hundredth.
Answer:
Modeling the situation with a quadratic equation, it is found that:
The maximum height of the ball is of 60.2 feet.
The ball hits the ground after 3.39 seconds.
Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.
In which:
is the initial velocity.
is the initial height.
In this problem:
Height of 8 feet, thus .
Initial velocity of 32 feet per second,
The equation is:
Which is a quadratic equation with .
The maximum height is the output of the vertex, which is:
Then, with the coefficients of this question:
The maximum height of the ball is of 60.2 feet.
It hits the ground at t for which , thus:
We want the positive value, so:
The ball hits the ground after 3.39 seconds.
A similar problem is given at brainly.com/question/24626341
Step-by-step explanation:
f(x)=√x+11. Find the inverse of f(x).
O A. f¹(x) = x³ – 11
O B. f¹(x) = (x - 11)³
O c. f¹(x) = x³ + 11
O D. f¹(x) = (x +11)³
Answer: Your answer would be C: f¹(x) = x³ + 11
Breelyns father owns a bakery that makes the same size of cookie. The dough for his cookies recipe can be rolled out into a square with a side length of 30 centimeters. The bakery need to make 600 cookies for an upcoming event. How many batches of dough will be needed to make cookies ?
The number of batches of dough needed to make cookies is
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
The dough for his cookies recipe can be rolled out into a square with a side length of 30 centimeters.
Number of cookies needed to make = 600 cookies
Each cookie is 30 centimeters
Total dough needed = 600 × 30
= 18000
Hence the dough needed is 18000.
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determine whether the series is convergent or divergent. [infinity] 7 (−1)n n n n = 1
The given series is: $\sum_{n=1}^\infty\frac{7(-1)^n}{n^n}$To find whether the given series is convergent or divergent we can use the ratio test.Suppose: $a_n=\frac{7(-1)^n}{n^n}$Then, $a_{n+1}=\frac{7(-1)^{n+1}}{(n+1)^{n+1}}$So, $\lim_{n\to\infty} \frac{a_{n+1}}{a_n}=\lim_{n\to\infty} \frac{7(-1)^{n+1}}{(n+1)^{n+1}}\cdot\frac{n^n}{7(-1)^n}$$\
Rightarrow \lim_{n\to\infty} \frac{(-1)^{n+1}}{(-1)^n}\cdot\frac{n^n}{(n+1)^{n+1}}=\lim_{n\to\infty} \frac{n^n}{(n+1)^{n+1}}$Now, we can take the natural logarithm of both the numerator and denominator of the limit, so that we can use L'Hopital's rule.\begin{align*}\lim_{n\to\infty} \ln\left(\frac{n^n}{(n+1)^{n+1}}\right)&=\lim_{n\to\infty} \ln n^n-\ln(n+1)^{n+1}\\&=\lim_{n\to\infty} n\ln n-(n+1t(\frac{n^n}{e^n}\cdot\frac{e^{n+1}}{(n+1)^{n+1}}\right)\right]\\&=\lim_{n\to\infty} \ln\left(\
frac{n}{n+1}\right)^{n+1}\\&=-\lim_{n\to\infty} \ln\left(\frac{n+1}{n}\right)^{n+1}\\&=-\lim_{n\to\infty} (n+1)\ln\left(1+\frac{1}{n}\right)\\&=-\lim_{n\to\infty} \frac{\ln\left(1+\frac{1}{n}\right)}{\frac{1}{n+1}}\cdot\frac{n+1}{n}\\&=-1\end{align*}Thus, $\lim_{n\to\infty} \frac{a_{n+1}}{a_n}=e^{-1}=\frac{1}{e}$Therefore, the series is absolutely convergent as $\frac{1}{e}<1$Hence, the given series is convergent.
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For what values of is the quadratic
function f (c)=22 – 20 – 24
positivie
Answer:
5485/45
Step-by-step explanation:
30 POINTS Find an explicit formula for the geometric sequence 12,24,48,96
b(n)=
Answer:
132
Step-by-step explanation:
becaue the sequence is going doubling
12*2 24*2 48*2 96*2 so your answer is 132
Answer:
12 * 2^(n-1)
Step-by-step explanation
You have to find the formula for 12,24,48,96
96-1=95
95+12=107
107+12+12=134
Area of Trapezoids and Other Figures quick check
Liliana's next step is to find the area of each of the two trapezoids.
How to determine her next stepFrom the question, we have the following parameters that can be used in our computation:
Liliana wants to find the area of a polygon.First, she breaks apart the polygon into two trapezoids.Given that she has broken the polygon into two trapezoids, the next step ti so calculate the area of each trapezoid
This is done using
Area = 1/2 * (sum of parallel sides) * height
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Complete question
Area of Trapezoids and Other Figures quick check
Liliana wants to find the area of a polygon. First, she breaks apart the polygon into two trapezoids. What is Liliana's next step?
Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer
Answer:
omg here is the answer
Step-by-step explanation:
Enter an inequality that represents the description, and then solve. Dave has $14 to spend on a $7 book and two birthday cards (c) for his friends. How much can he spend on each card if he buys the same card for each friend? Inequality: Dave can spend up to $ on each card if he buys the same card for each friend.
Answer:
3.5
Step-by-step explanation:
14 - 7 = 7
7/2
3.5
so thats the most hope I helped
stephanie has 126 basketball cards. her three friends have the same number of cards as she does. how many cards do the four of them have in all?
Four of them have in all 504 cards.
What is meant by Multiplication?Multiplication: In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.
It is given that Stephanie has 126 basketball cards
and also said that her three friends have the same number of cards as she does
which gives 126 each of three friends so, three of them are having
friend 1 =126
friend 2=126
friend 3=126
=3×126 by combining three friends cards which gives,
=378
four of them will have 4×126=504 cards.
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Of them, four have all 504 cards.
What does "multiplication" mean?
Multiplication in mathematics is the addition of equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.
Given her collection of 126 basketball trading cards
and added that she shares the same number of cards with her three friends.
which amounts to 126 for each of the three friends, meaning that three of them
buddy 1 = 126
friend 2=126
friend 3=126
=3×126 by combining three friends cards which gives,
=378
four of them will have 4×126=504 cards.
4. In how many ways can 5 men and 7 women be seated in a row so that no two men are next to each other? You must justify your answer.
Answer:
3628800 ways if the women are always required to stand together.
To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.
First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).
Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.
Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.
Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.
There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.
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A reporter claims that 90% of American adults cannot name the current vice president of the United States. To investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the current vice president. Are the conditions for inference met?
Group of answer choices
Yes, the conditions for inference are met.
No, the Large Counts Condition is not met.
No, the 10% condition is not met.
No, the randomness condition is not met.
Answer: B
Step-by-step explanation:
No, the Large counts conditio is not met
The correct option is that, No, the Large Counts Condition is not met.
What are the Conditions for Inference?Conditions for inference are the three conditions on a mean are randomness, whether it is normal distribution and the independence of the test.
Given that,
The reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president.
So the sample is random.
10% condition is also met since the sample size is 50, which must be less than 10% of the total population.
So the 10% condition is also met.
Large counts condition is the condition which requires the sample size to be large enough for the distribution to be approximately normal.
So, the large counts condition is not met.
Hence the correct option is that condition of inference is not met since the Large Counts Condition is not met.
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Find g(x), where g(x) is the translation 2 units down of f(x) = x?
20-x/y-x if x=2 and y=4 what is the answer
Answer:
20-x/y-x
=20-2/4-2
=18/2
=9 is the answer.
look at the picture please help.
Answer:
Under 1: $3.25
Under 3: $9.75
Under 5: $16.25
Cost for 15 pounds = $48.75
Answer:
1 pound= $3.25
3 pounds=$9.75
5 pounds=$16.25
15 pounds =$48.75
Step-by-step explanation:
1x3.25=3.25
3x3.25=9.75
5x3.25=16.25
15x3.25=48.75
The cable company has yearly projections for an increase in the cost of cable a customer must pay. The monthly increase is represented by x^2-16x+64=0x2
−16x+64=0, where x is the amount of increase in dollars per month. What will be the monthly increase for all of the cable customers?
The amount of monthly increase will be 8$
What is Quadratic Equation?
Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.
Solution:
Given Equation is x² - 16x + 64 = 0
Using the formula method we will first find the discriminant
D = b² - 4ac
D = 256 - 256 = 0
x = -b +- √D / 2a
x = 16/2 = 8
x = 8
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the proposals are independent, which one(s) should she select at MARR =15.5% per year? 2. If the proposals are mutually exclusive, which one should she select at MARR =10% per year? 3. If the proposals are mutually exclusive, which one should she select at MARR =14% per year?
To determine which proposal(s) to select, we need to compare the present worth or net present value (NPV) of each proposal. The NPV represents the difference between the present value of cash inflows and outflows for each proposal.
For independent proposals at MARR = 15.5% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 15.5%.
Select the proposal(s) with a positive NPV. Positive NPV indicates that the project's expected cash inflows exceed the initial investment and the MARR.
For mutually exclusive proposals at MARR = 10% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 10%.
Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.
For mutually exclusive proposals at MARR = 14% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 14%.
Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.
It's important to note that the specific details of the proposals, including cash inflows, outflows, and timing, are needed to calculate the NPV accurately. Without this information, it is not possible to provide a definitive answer.
Write the equation of the line that goes through (-2/3, 7/8) and is PARALLEL to 3x + 4y = 7
Answer:
6x+8y = 3
Step-by-step explanation:
we have 3x + 4y = 7
4y = -3x + 7
y = -3/4 x + 7/4
so slope is -3/4
2 parallel lines always have same slope
so the slope of our new line is -3/4
so y = -3/4 x + C
for c,
we have (x,y) = (-2/3,7/8)
7/8 = -3/4 * -2/3 + C
C = 3/8
so equation is
y = -3/4 x + 3/8
simplyfyig,
8y = -6x + 3
or, 6x+8y = 3
answer this, please !!!
Answer:
C or R
Step-by-step explanation:
Which graph represents the compound inequality?
n<-2 or n24
-5 -4 -3 -2 -1 0
1
2
3
4 5
A++
-5 -4 -3 -2 -1
0
1
2
3
4 5
O
-5 4 -3 -2 -1 0 1
2
3 4 5
-5 4 -3 -2 -1
0
1
2
3
4
5
Answer:
The third graph is precise
Step-by-step explanation:
-2 > n ≥ 4
n<-2 or n≥4 compound inequality is represented in the third graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given inequality is n<-2 or n≥4
The third number line represents the inequality n<-2 or n≥4.
The open circle at -2 indicates that n is not included in the solution set, since the inequality is strict.
The closed circle at 4 indicates that n is included in the solution set, since the inequality is not strict.
Hence, n<-2 or n≥4 compound inequality is represented in the third graph.
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please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).