Answer:
50 cm
Step-by-step explanation:
let x be the heigth we are looking for.
Each rectangle that covers the cuboid is the product of two dimensions \((60\cdot40;\ 60x;\ 40x)\)
Since it's a cuboid, we assume opposite sides are equal.
So each rectangle is counted twice:
\(Area=2(60\cdot40+60x+40x)=14800\)
Now, we just isolate x:
\(60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000\)
Answer:50 cm
If you work for an airline need to sit a passenger every 30 seconds. If the doors open at 9:35 am, what time does the last passenger sit if there are 110?
Answer: 10:30 am
Step-by-step explanation: If you need to seat a passenger every 30 seconds, (half of a minute, which is 60 seconds), for every minute, 2 passengers will be seated. So, if you seat 2 passengers for a min each until you have seated 110 people, you will have taken up 55 minutes in total. (110 divided by 2 passengers a min). And finally, 55 minutes past 9:35 am would be 10:30 am. Hope this helps!
5-10c + 8c = 45 - 30What is the value of c?
Collecting like terms, we have:
-10c + 8c = 45 - 30 - 5
-2c = 15 -5
-2c = 10
Dividing both side by -2
\(undefined\)Help me I’m not sure the answe
Answer:
i believe it would be the last option.
Step-by-step explanation:
Daniel bought 2 pairs of jeans for $50 and Howard bought 4 pairs of jeans for $90. Did they pay the same rate?
Group of answer choices
No they are not equivalent
Yes they are equivalent
the correct answer is "No they are not equivalent".
Why it is and what does cost mean?
To determine if Daniel and Howard paid the same rate for jeans, we can calculate the cost per pair of jeans for each of them:
Daniel paid $50 for 2 pairs of jeans, so he paid $25 per pair of jeans.
Howard paid $90 for 4 pairs of jeans, so he paid $22.50 per pair of jeans.
Since the cost per pair of jeans is different for Daniel and Howard, they did not pay the same rate. Therefore, the correct answer is "No they are not equivalent".
Cost refers to the amount of money or resources that is required to produce or obtain something. It can be calculated by adding up all the expenses associated with producing or obtaining a product or service, such as materials, labor, and overhead costs.
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In Exercises 33–36, determine if the specified linear transforma- tion is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1 |
If values prοvided then transfοrmatiοn οf vectοrs can be determined.
What is vectοr?In mathematics, a vectοr is a mathematical οbject that represents a quantity with bοth a magnitude and a directiοn. Vectοrs can be used tο represent physical quantities such as velοcity, fοrce, and acceleratiοn, as well as mοre abstract cοncepts such as cοlοr, sοund, and temperature.
Withοut seeing the figure οr the values οf a1, a2, and a3, it is nοt pοssible tο determine whether the specified linear transfοrmatiοn T : R2 → R2 is οne-tο-οne and οntο.
Hοwever, in general:
A linear transfοrmatiοn T : Rn → Rm is οne-tο-οne if and οnly if its kernel (i.e., the set οf vectοrs that are mapped tο the zerο vectοr) is trivial, meaning that the οnly vectοr that maps tο the zerο vectοr is the zerο vectοr itself.
A linear transfοrmatiοn T : Rn → Rm is οntο if and οnly if its range (i.e., the set οf all vectοrs that can be οbtained by applying T tο sοme vectοr in Rn) is equal tο Rm.
Tο determine whether a linear transfοrmatiοn is οne-tο-οne οr οntο, we can examine its prοperties and characteristics, such as its kernel, range, rank, and determinant. We can alsο use geοmetric intuitiοn and visualizatiοn tο understand hοw the transfοrmatiοn maps pοints and vectοrs in Rn tο Rm.
If yοu prοvide mοre infοrmatiοn abοut the values οf a1, a2, and a3 and the figure that shοws the standard matrix A, it can help yοu determine whether the transfοrmatiοn is οne-tο-οne and οntο and draw the image οf the vectοr [-1, 1] under the transfοrmatiοn T.
Therefοre, if values prοvided then transfοrmatiοn οf vectοrs can be determined.
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Complete question -
In Exercises 33–36, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1
Please? I really need this answer if you can
help please 40 points answer correct please
Answer:
bballs: 8*2+2=18
baseballs: 5*8-4=36
softballs: 36/2+6=24
Step-by-step explanation:
easy Hope this helps!
Help help help help please
Answer:
√157
Step-by-step explanation:
please mark me as brainlest
Answer:
\( \sqrt{157} \)
how many decimal places would the answer have when you find the product of 43.09281×5.092?
Answer:
219.42858852
Step-by-step explanation:
Solve for x.
A. 2ft
B. 3ft
C. 4ft
D. 6ft
\(solution= \frac{x}{3}=\frac{6}{9}- x=2\\ answer:2ft\)Answer:
Step-by-step explanation:
Find the three-letter word which can be added to the letters in capitals to
make a new word. The new word will complete the sentence sensibly.
Example The cat sprang onto the MO.
18 A baby is an INT.
USE
19 A baby goes out in a P.
20 A baby CLS on the floor.
21 A baby plays with a TLE.
22 A baby sits in a HIGHCH.
11
Answer:
18 : fan
19 : ark?
20 : awl
21 : bot
22 : air
Step-by-step explanation:
18 : A baby is an in(fan)t.
19 : A baby goes out in a p(ark).
19 has too many options, but park seems like a safe bet.
20 : A baby c(raw)ls floor.
21 : A baby plays with a (bot)tle.
22 : A baby sits in a highch(air).
What is 13 1 3 percent as a fraction in simplest form
Answer:
2/15
Step-by-step explanation:
A percent is a number given out of 100
13 1/3% basically is 13 1/3 | 100
You divide and you get 40/3 x 1/100
Simplify by 20 = 40/300 simplify again and you get 2/15.
A total of $8000 is invested: part at 6% and the remainder at 10%
. How much is invested at each rate if the annual interest is $760
The requried, $1000 is invested at 6%, and $7000 is invested at 10%
Let x be the amount invested at 6%, and y be the amount invested at 10%. We know that x + y = $8000 since the total amount invested is $8000.
We also know that the annual interest earned on the 6% investment is 0.06x, and the annual interest earned on the 10% investment is 0.1y. The total annual interest earned is given as $760.
So we have the system of equations:
x + y = 8000 (1)
0.06x + 0.1y = 760 (2)
We can use either substitution or elimination to solve for x and y. Here, we'll use elimination. Multiplying equation 1 by 0.06, we get:
0.06x + 0.06y = 480 (3)
0.1y - 0.06y = 0.04y = 280
y = $7000.
Substituting y = $7000 into equation 1, we get:
x + $7000 = $8000
So x = $1000.
Therefore, $1000 is invested at 6%, and $7000 is invested at 10%.
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8. Calculate the Perimeter AND Area of
the RIGHT Triangle below.
17 m
10 m
21 m
Answer:
\(\text{Perimeter: }48\:\mathrm{m},\\\text{Area: }84\:\mathrm{m^2}\)
Step-by-step explanation:
The area of a triangle with side lengths \(a\), \(b\), and \(c\) is given by:
\(A=\sqrt{s(s-a)(s-b)(s-c)}\), where \(s=\frac{a+b+c}{2}\)
Substituting \(a=21, b=17, c=10\), we have:
\(A=\sqrt{24(24-21)(24-17)(24-10)},\\A=\sqrt{24(3)(7)(14)},\\A=\sqrt{7,084},\\A=\boxed{84\:\mathrm{m^2}}\)
The perimeter of a polygon is given by the sum of its sides. Since the triangle has sides 10, 17, and 21, its perimeter is \(10+17+21=\boxed{48\:\mathrm{m}}\).
WILL GIVE BRAINLIEST !!! What is the axis of symmetry for the function, f(x) = −2(x − 4)2 + 2 ?
Answer:
\(x=4\)
Step-by-step explanation:
We have the function:
\(f(x)=-2(x-4)^2+2\)
This is a quadratic in vertex form:
\(f(x)=a(x-h)^2+k\)
Where (h, k) is the vertex.
So, according to the equation, h=4 and k=2.
Hence, our vertex is at (4, 2).
Remember that the axis of symmetry is the vertical line that passes through the x-coordinate of the vertex.
Hence, our axis of symmetry is x=4.
Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes
Point
Slopes
(1, 1)
(a) 3 (b) -3 (c) -5/2 (d) Undefined
The sketch for slope is attached below.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Point Slopes
(1, 1) (a) 3
_ (b) -3
_ (c) -5/2
_ (d) Undefined
a) Now, using slope intercept form
y - 1= 3 (x-1)
y- 1= 3x- 3
y= 3x - 2
(b) Equation of a line has a slope -3 is given by
y - 1= (-3) (x-1)
y-1 = 3- 3x
y = -3x + 4
(c) Equation of a line has a slope -5/2 is given by
y - 1= (-5/2) (x-1)
y-1 = -5/2x + 5/2
y= -5/2x + 7/2
(d) The line parallel to y axis and passes through given point : x=1
"undefined" means the line is vertical.
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 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answer:
D. 6Step-by-step explanation:
M is midpoint of LP and N is midpoint of MP
Use midpoint formula:
x = (x₁ + x₂)/2Find x-coordinate of M:
x = (-3 + 9)/2 = 3Find x-coordinate of N:
x = (3 + 9)/2 = 6Correct choice is D
What is the absolute value of -8? Use the number line to help answer the question.
✓x
8
-7 -6
-S
4
-3
-2
L1
1
2.
3
4
S
3
8
-16
-8
8
16
Answer:
is 8
Step-by-step explanation:
i need help with this
3:7 = ___: 49
Answer:
3 : 7 = 21 : 49
Step-by-step explanation:
i need help with this
3:7 = ___: 49
3 : 7 = x : 49
x = 3 × 49 ÷ 7
x = 147 ÷ 7
x = 21
3 : 7 = 21 : 49 (your answer)
Approximate -16 + square root of 40
The result of the approximation of -16 + square root of 40 is -3.35.
What is defined as the approximation?An approximation refers to anything which is similar to but not identical to something else.
Rounding can be used to approximate a number. Before performing the operations, an estimate can be approximated by rounding this same values within it.
Look just at digit with in tens column to get an approximation to the nearest ten.Look at the digit with in hundreds column to get an estimate to the nearest hundred.Look at the digit with in thousands column for the nearest thousand.For the given number;
-16 + square root of 40 can be written as.
= -16 + √40
Find the factors of 40 by prime factorization;
40 = 2×2×2×5
Put the value in expression.
= -16 + √2×2×2×5
Take out square root of 2.
= -16 + 2√2×5
= -16 + 2√10
Fine the approximate value of √10 as this is near to √9.
Thus, √10 = 3.12
Put the value in expression.
= -16 + 2×3.12
= -16 + 12.649
= -3.35
Thus, the approximation of -16 + square root of 40 is -3.35.
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the top of a rectangular box has an area of 110 cm. the sides have areas of 120 cm and 132 cm. what are the dimensions of the box?
Answer:
1,320
Step-by-step explanation:
the top is 11 and 10 which makes the first side 10 and 12 and the second 12 and 11 the 3 numbers that you multiply 10 11 and 12
10X11X12=1320
P.S. please give brainliest
PLEASE HELP FAST‼️‼️‼️:)
Answer:
268
Step-by-step explanation:
Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]
The rank of the matrix is 3, since there are three linearly independent rows.
The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.
To find the rank of the matrix:
[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]
We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.
\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)
This gives us the following matrix:
[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]
We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.
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48 ounces to 5 pounds in simplest form
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?
The exponential growth formula is 3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet is 63.16 years.
What is the exponential growth formula?The exponential growth formula usually has this form:
FV = P (1 + r)^n
FV = Future growth P = Present growth R = rate of growthN = number of years3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years
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ABC is an isosceles right triangle.
1). A = _____.
2). B = _____.
3). If AC = 3, then BC = _____ and AB = _____.
4). If BC = 4 then BC = _____ and AB = _____.
5). If BC = 9, then AB = ______.
6). If AB = 7 Square root 2, then BC = _____.
7). If AB = 2 square root 2, then AC = _____.
1) 45°
2) 45°
3) BC= 3 AB= sqrt(18)=3sqrt(2)
4) BC= 4 AB= sqrt(32)=4sqrt(2)
5) 9sqrt(2)
6) 7
7) 2
sqrt means square root
AC = AB because it is isosceles
pythagore theorem is used to solve 3 to 7
AB²= AC²+CB²
In 1 and 2 it is the angle in an isosceles triangle
Nina has 2 cups of flour. However, this is only 1/4 of the amount of flour that she needs for a bread recipe. How many cups of flour does the recipe call for?
Answer:
8 cups of flour
Step-by-step explanation:
if 2 is 1/4 then we would do 2 × 4 to get 4/4
Answer:
She needs 8 cups.
Step-by-step explanation:
Since 2 cups are only 1/4 of what she needs, you can also say that she needs 4 times that amount. Because of that, she needs 8 cups. To check, 2 divided by 8 is .25, which is equivalent to 1/4.
A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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employees at an arcade are paid according to the number of hours worked as shown in the graph
Answer:
B, C, G
Step-by-step explanation:
If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.
We can take 36.25 and divide that by 5 to get the hourly wage.
36.25 ÷ 5 = 7.25
We now know that employees get $7.25 every hour.
Using this we can look back to the graph.
'A' says that if an employee does not work, they will earn $7.25.
We know that this is wrong because if you do not work, then you do not earn money.
Let's look at 'B'.
If employees work for one hour, they will earn $7.25
We know this is correct because we now know the hourly wage.
Let's look at 'C'
If employees work for 4 hours, then they will get a revenue of $29.
We can figure this out by using this equation.
number of hours × hourly wage = total payment
4 × 7.25 = 29
Then this means that this is correct.
Let's look at 'D'
It says that if employees work for 10 hours, they will earn $73
Let's use that same equation again.
10 × 7.25 = 72.5
Employees earn $72.5 for working 10 hours, not $73.
So, this is obviously incorrect.
Let's look at 'E'
It says that if employees work for 3.5 hours, they will get a revenue of $21.75.
3.5 × 7.25 = 25.375
Therefore, this is incorrect.
Now let's take a look at 'F'.
It says that if employees work for 7.25 hours, then they earn $1.
This is incorrect.
And lastly, 'G'.
We know that if you do not work, then you do not earn money.
Therefore, A, B and G are the correct answers.