Answer:
The surface area of the box is 52 square meters. To calculate the surface area of a rectangular box, we need to find the area of each face and then add them together. In this case, the box has six faces, each with a different length and width. The top, bottom, and side faces are all rectangular, while the front and back faces are also rectangular but have a different size.
To find the surface area of the box, we can start by finding the area of the top and bottom faces. The top and bottom faces are both 2 meters by 4 meters, so the area of each face is 2 * 4 = 8 square meters. Therefore, the total area of the top and bottom faces is 8 * 2 = 16 square meters.
Next, we can find the area of the front and back faces. The front and back faces are both 3 meters by 2 meters, so the area of each face is 3 * 2 = 6 square meters. Therefore, the total area of the front and back faces is 6 * 2 = 12 square meters.
Finally, we can find the area of the side faces. The side faces are both 3 meters by 2 meters, so the area of each face is 3 * 2 = 6 square meters. Therefore, the total area of the side faces is 6 * 2 = 12 square meters.
To find the total surface area of the box, we need to add the areas of the top, bottom, front, back, and side faces together.
Step-by-step explanation:
Answer: 52 square meters
Step-by-step explanation:
at first just off of the top of my head i thought it would be 26.
Please look at the picture and answer the question, Thank you!
Inequality: x>12
Interval Notation: ( 12, ∞ )
HELP PLEASE INSTANT
Answer: number 3
Step-by-step explanation:
You buy a watch that is $60. There is a 6% sales tax and a 15% discount. How much is the watch now?
Answer:
$54.06
Step-by-step explanation:
$60x0.85=51
51x1.06=$54.06
Expression equivalent to 4(x-2)+4
Answer:4x-12
Step-by-step explanation:
Answer:
= 4x - 4
Step-by-step explanation:
4(x-2) + 4
= (4*x + 4*-2) + 4
= (4x - 8) +4
= 4x + 4 - 8
= 4x - 4
Wile Coyote is chasing after the famous Road Runner one afternoon. The roadrunner sets off at a
speed of 72mph, while the coyote has issues with his rocket bike. It takes him 15 minutes to
repair it, then he shoots after him. The coyote is not worried at all because his ACME rocket bike
has a speed of 220mph. How long (in minutes) has the Road Runner been running once the
coyote catches up to him?
The time the Road Runner been running is 7.3 minutes
How to determine the time the Road Runner been running?From the question, we have the following parameters that can be used in our computation:
Roadrunner speed = 72mph
Time for repair = 15 minutes
Speed = 220mph
Represent the time the Road Runner been running with x
The speed is calculated using
Speed = Distance/Time
So, we have the following representations
Roadrunner speed = Distance/Time
Wile Coyote speed = Distance/Time
This gives
72 = Distance/(15 + x) -- for the roadrunner
220 = Distance/x for the Wile Coyote
So, we have
Distance = 72(15 + x)
Distance = 220x
Substitute the known values in the above equation, so, we have the following representation
220x = 72(15 + x)
Open the brackets
220x = 1080 + 72x
Evaluate the like terms
148x = 1080
So, we have
x = 7.3
Hence, the minutes is 7.3 minutes
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-1,8,11,-9,5,11 have a mode or is it unimodal bimodal or multimodal
Answer:
It has a mode of 11
Step-by-step explanation:
A mode is a # in a data set that occurs more then any other one
What is the slope? also make sure to show how you got that
Answer:
The slope is a value that describes the steepness and direction of a line
Step-by-step explanation:
I think ts either 2 or nagtive 2
Answer:
gradient (slope) = 2
Step-by-step explanation:
gradient (slope) = difference of y-coordinates / difference of x-coordinates = (y₂-y₁)/(x₂-x₁)
Pick two points, ex: (0,1) and (-2,0)
= (0-1)/((-2)-0)
= -1/-2
= 1/2
Sally has 2 cats and each cat eats 1/4 of a tin of cat food each day.
Sally buys 7 tins of cat food.
For how many days will the cat food feed her 2 cats?
You must show your working.
days=?
Answer:
33
Step-by-step explanation:
Select the correct choices to complete the sentence. Find the Error A student was finding the ordered pair for point Y(1.5,−2) after its reflection across the x-axis. Y(1.5,−2) →Y'(−1.5,−2) Complete the following statement explaining the mistake this student made and how to correct it. This student wrote the ordered pair for a reflection across the , 1 of 3. Select Choice , not the , 2 of 3. Select Choice . The correct ordered pair for point Y' is , 3 of 3. Select Choice
The reflection across the x-axis of Y(1.5, -2) is Y'(1.5, 2). Y(1.5,−2) →Y'(−1.5,−2) represents reflection across the y-axis.
What is an ordered pair?
An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.
The rule of reflection over the x -axis is A(x,y) → A'(x,-y)
The rule of reflection over the y -axis is A(x,y) → A'(-x,y).
A student finds that the reflection across the x-axis of Y(1.5,−2) is Y'(−1.5,−2).
Student follows the rule of reflection over the y -axis is A(x,y) → A'(-x,y).
Therefore students do mistake to consider a wrong formula.
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the linear function y=15.95 represents the cost y (in dollars) of x tickets for a museum. Each customer can buy a maximum of four tickets. find the domain of the function. is the domain discrete or continuous? explain
Domain of the function is (1,4) and the domain is discrete.
What is linear function?
A linear function may be a operate that forms a line during a graph. it's usually a polynomial operate whose degree is utmost one or zero. though the linear functions also are delineate in terms of calculus also as algebra.
Main body:
According to the question :
y=15.95 x
where y = cost ,
x = number of tickets
Each customer can buy a maximum of four tickets.
Plot the ordered pairs. Because you cannot buy part of a ticket,
the graph consists of individual points.
domain of the function is (1,4).
Hence , the domain is discrete.
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An object measures 4 cm x 4 cm x 4 cm/
A. what is the surface area of the object?
B. what is the total surface area if you cut the object into two equal pieces/
Answer:
A. The surface area of a cube with side length 4 cm is 6 * (4 cm * 4 cm) = 96 square cm.
B. The total surface area of two pieces of the cube would be 2 * 96 square cm = 192 square cm. This is because cutting the cube into two equal pieces would double the total surface area of the pieces, but the surface area of each individual piece would remain the same.
A sample of size 35 is drawn. The sample average is ~ = 18.4. The sample standard
deviation s = 4.5. Find a 95% confidence interval for the mean u.
95% confidence interval of mean is between (16.91, 19.89)
What is mean and standard deviation ?the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean
Data dispersion in regard to the mean is quantified by a standard deviation, or. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
Given the sample size of 35, the mean x value is 18-4.
Standard deviation S=4.5
C = 95%
a = 1 - c = 0.05
From standard deviation from z table[tex]z_{0.05}[/tex] is 1.96 we know formula for confidence interval is
mean x +- [tex]z_{\alpha /2}[/tex] - σ/[tex]\sqrt{n}[/tex]
x +- [tex]z_{\alpha /2}[/tex] - σ/[tex]\sqrt{n}[/tex] αμαx ‾ - [tex]z_{\alpha /2}[/tex] - σ/[tex]\sqrt{n}[/tex]
lower limit = 18.4 - 1.96 * 4.5 /[tex]\sqrt{35}[/tex]
18.4 - 1.5
16.91
upper limit = 18.4 + 1.96 * 4.5 /[tex]\sqrt{35}[/tex]
19.89
95% confidence interval of mean is between (16.91, 19.89)
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HELP ASAP DUE SOON FIRST CORRECT ANSWER GETS BRAINLYEST ANSWER AND 50 pts
Allyson works as an editor for the local newspaper. What kind of education might
have been necessary for Allyson to attain this position?
high school diploma
associate degree in computer science
bachelor's degree in journalism
O master's degree in mathematics
Answer:
bachelor's degree in journalism
Step-by-step explanation:
Answer: bachelors degree in journalism
Step-by-step explanation:
Amy had 30 minutes to do a three-problem quiz. She spent 10
7/10 minutes on question A and 4 2/5 minutes on question B. How much time did she have left for question C?
The time Amy has left for the question C is 13.9 minutes.
How to write a mixed fraction into a fraction?The mixed fraction can be converted into a fraction by interchanging the numerator with the sum of the product of denominator and the whole number and the numerator of the mixed fraction. It can be shown as 2(¹/₂) = (2 × 2 + 1)/2 = 5/2.
Given that,
The total time for quiz is 30 minutes.
The time taken to do problem A is 10(⁷/₁₀) and for B is 4(²/₅).
Thus, the remaining time left can be calculated by the as follows,
30 - (10(⁷/₁₀) + 4(²/₅))
Change the mixed fraction into the fraction to obtain,
30 - (107/10 + 22/5) = 13.9
Hence, the time left for question C is given as 13.9 minutes.
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write the quadratic function in standard form (show steps)
Intercept form: y=(x+2) (x-2)
Find the following parts of the given numbers. 3/4 of 56
The value of the fraction 3/4 of 56 is 42.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
The value of the fraction will be:
= 3/4 × 56
= 3 × 14
= 42
The value is 42.
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Find the zeros of the function.
State the multiplicity of multiple zeros.
y = 7x³ - 7x
Answer:
The zeros of the function are x = -3, x = 1, x = 3. The multiplicity of the zero x = 3 is 3.
Step-by-step explanation:
Answer:
0, 1, -1
Step-by-step explanation:
7x³ - 7x = 0
=> x(7x² - 7) = 0
=> 7x(x² - 1) = 0
=> x(x² - 1) = 0
=> x(x+1)(x-1) =0
=> x = 0 or x = -1 or x = 1
5. Case # 5. Word Problem.
y
Amir spent a total of $53.75 on breakfast sandwiches and bagels for his
friends who are visiting from out of town. Each breakfast sandwich costs
$4.25, and each bagel costs $2.00. He bought 5 more bagels than
breakfast sandwiches.
a. Write a system of equations that could be used to solve for
the number of breakfast sandwiches and bagels he bought.
b. Solve the system to determine how many breakfast sandwiches and bagels Amir bought.
The system of equations is 4.25x + 2y = 53.75, y = x + 5, and the number of bangles and breakfast sandwiches Amir bought is 12 and 7 respectively.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
Amir spent a total of $53.75 on breakfast sandwiches and bagels
Each breakfast sandwich costs $4.25, and each bagel costs $2.00
Calculate the equation as shown below,
4.25x + 2y = 53.75
Here, y = number of bangles and x = number of sandwiches,
y = x + 5
Solve the equation to get the values,
x = 7 and y = 7 + 5 = 12
Therefore, the system of equations is 4.25x + 2y = 53.75, y = x + 5, and the number of bangles and breakfast sandwiches Amir bought is 12 and 7 respectively.
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Items Interim: Math Grade 7 (9 out of 34) Daniel (SSID: IN-6865-503316539) CS-ACAE-3
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A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the
discounted price.
What is the total percentage discount on the shirt?
Answer: B
Step-by-step explanation:
What’s
: 2 1/7 + 3/7 (3x - 5) = -4
Please explain step by step to get picked brainliest!
The solution to the equation is x = -28/9.To solve the equation 2 1/7 + 3/7(3x - 5) = -4, let's break it down step by step.
Step 1: Convert the mixed number 2 1/7 to an improper fraction. Multiply the whole number (2) by the denominator (7), then add the numerator (1). This gives us (2 * 7 + 1) / 7 = 15/7.
Step 2: Distribute the 3/7 to the terms inside the parentheses. Multiply 3/7 by each term, which gives us (3/7) * 3x = 9x/7 and (3/7) * (-5) = -15/7.
Step 3: Substitute the converted mixed number and the distributed terms back into the equation. The equation becomes 15/7 + 9x/7 - 15/7 = -4.
Step 4: Combine like terms. Add the fractions with the same denominator: (15/7 - 15/7) + 9x/7 = -4. The fractions cancel each other out, leaving us with 9x/7 = -4.
Step 5: Isolate the variable. Multiply both sides of the equation by the reciprocal of 9/7, which is 7/9. This gives us (7/9)(9x/7) = (7/9)(-4). The 7/9 on the left side cancels out, leaving x = (-28/9).
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A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
I rlly need help on this badly
3.
The value of x is 20.
The value of y is 30.
4.
The value of x is 30.
The value of y is 4.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
3,
The triangle is an equilateral triangle.
Value of all the angles = 60°
All sides are equal.
Now,
46 = 16 + y
y = 46 - 16
y = 30
Now,
The sum of the three angles of the triangle is 180 degrees.
80 + 60 + (60 - x) = 180
140 + 60 - x = 180
200 - 180 = x
x = 20
4.
There is an equilateral triangle.
5y = 20
y = 4
There is an isosceles triangle.
Where two sides are equal and the angle opposite to the equal sides are also equal.
This means,
(180 - 60) + x + x = 180
120 + 2x = 180
2x = 180 - 120
x = 60/2
x = 30
Thus,
3.
The value of x and y is 20 and 30.
4.
The value of x and y is 30 and 4.
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43. Find the length of the midsegment.
45
45
74
126
74
Answer: hi
Step-by-step explanation:
On a team, 3 girls and 2 boys scored a total of 43 points. The difference between the number of points scored by the 3 girls and the number of points scored by the 2 boys is 11 . Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer:
each girl scored 1 point and each boy scored 20 points.
Step-by-step explanation:
Let $g$ be the number of points scored by each girl and $b$ be the number of points scored by each boy. We can set up the following system of equations:
$$3g + 2b = 43$$
$$3g - 2b = 11$$
We can solve this system of equations using substitution. From the first equation, we have that $3g = 43 - 2b$. Substituting this expression for $3g$ into the second equation gives:
$$3(43 - 2b) - 2b = 11$$
Solving for $b$, we get:
$$129 - 6b = 11$$
$$6b = 118$$
$$b = 19.5$$
Since $b$ must be a positive integer, the only possible value for $b$ is $20$. Substituting this value into the first equation, we get:
$$3g + 2(20) = 43$$
Solving for $g$, we get:
$$3g = 3$$
$$g = 1$$
Therefore, each girl scored $1$ point and each boy scored $20$ points.
There are a adults at the fair. There are 20 more kids than adults. Write an expression
that shows how many kids there are.
a+
Submit
olo
The Number of kids in the fair is x + 12
What are Variables ?A variable is a symbol and a stand-in for any mathematical object in mathematics. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.
According to the given information
Let x be the variable
Let the number of adults in the fair = x
Number of kids in the fair is 12 more than the adults
So
Number of kids in the fair = 12 + Number of adults in the fair
= 12+x
Hence
The Number of kids in the fair is x + 12
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One angle measures 24°, and another angle measures (7d-4)°. If the angles are complementary what is the value of d?
d=80
d=17
d = 10
d=3
Based on the definition of complementary angles, the value of d is: 10.
What are Complementary Angles?Complementary angles can be described as two angles that have a sum of 90 degrees when added together.
Given that the two angles, 24° and (7d - 4)°, are complementary angles, it implies that their sum will give a measure of 90°. Therefore, to find the value of d, the following equation would be created based on the definition of complementary angles:
24 + (7d - 4) = 90
Open the parentheses:
24 + 7d - 4 = 90
Combine like terms:
7d + 20 = 90
Subtract 20 from both sides
7d + 20 - 20 = 90 - 20
7d = 70
Divide both sides by 7
7d/7 = 70/7
d = 10
The value of d is: 10.
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A garden table and a bench coat $788 combined. The garden table cost $62 less than the bench. What is the cost of the bench?
Answer:
Step-by-step explanation:
Let T represent table and B represent bench. The garden table costs $62 less than the bench. T = B - 62. plug T = B - 62 into T + B = 788. B - 61 + B = 788. This gives us 425. B = 425.
What is the GCF of 12, 30, and 18?
Answer:
6
Step-by-step explanation:
Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
Solve for the other leg and for the hypotenuse of the 45-45-90 triangle
Answer:
4th answer option
Step-by-step explanation:
both side angles are 45°, that makes the triangle an isoceles triangle (both legs are equally long).
therefore, v = 7.
Pythagoras gives us
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs.
in our case
u² = 7² + 7² = 49 × 2
u = sqrt(49 × 2) = 7 × sqrt(2)
Find the equation of the tangent line to the graph of f(x) = e^2x-5 at the point (2, 1/e).
The tangent line to the graph of f(x) = 2e²ˣ-5 at the point (2, 1/e) is given by y=2e⁴+1-2e⁵/e
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation of the tangent line to the graph of f(x) = e²ˣ-5
To find the Equation of a tangent to any curve you must first find the derivative of the function.
y = e²ˣ-5
y'=2e²ˣ
sub x=2 into derivative function
y'(2)=2e⁴
so we have found that the tangent line is y=2e⁴+c
now we have to sub in the point and solve for c:
1/e=2e⁴+c
c=1/e-2e⁴
c=1-2e⁵/e
c=0 when x is 2.
The equation of tangent to the line is y=2e⁴+(1-2e⁵)/e
Hence, the equation of the tangent line to the graph of f(x) = 2e²ˣ-5 at the point (2, 1/e) is given by y=2e⁴+1-2e⁵/e
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