Answer:
150 square inches.
Step-by-step explanation:
[tex]V=s^3[/tex]
s=125
[tex]s=\sqrt[3]{125} =5[/tex]
Therefore, total surface of a cube = [tex]6*s^2[/tex]
=6×5×5
[tex]150 in^2[/tex]
The entrance to the louvre museum in paris is a pyramid made of glass and steel. the height of the pyramid is 22 meters and the base is a square with a width of 35 meters. what is the volume of the louvre pyramid to the nearest cubic meter?
Based on the calculations, the volume of this louvre pyramid is equal to 8,983 cubic meter..
Given the following data:
Base width = 35 meters.
Height = 22 meters.
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × base area × height
For the base area, we have:
Area = w²
Area = 35² = 1,225 m².
Substituting the parameters into the formula, we have;
Volume = 1/3 × 1,225 × 22
Volume = 1/3 × 26,950
Volume = 8,983 cubic meter.
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Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
The answer is f of 5 = negative 1. The correct answer is option B
The complete graph is attached with the answer below.
What is graphed function?Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.
We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.
Therefore answer is f of 5 = negative 1. The correct answer is option B
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Answer:
The answer is f of 5 = negative 1.
Step-by-step explanation:
Edge
Without simplifying, find:
a) the 6th term of (2x+5)^15
b) the 4th term of (x^2+5/x)^9
Answer:
Part A)
[tex]\displaystyle z_6 = 9609600000x^{10}[/tex]
Part B)
[tex]z_4 = 10500 x^9[/tex]
Step-by-step explanation:
Recall the binomial expansion theorem:
[tex]\displaystyle (x+y)^n = \sum_{k=0}^{n}{n \choose k} x^{n-k} y^k[/tex]
Part A)
Our expression is equivalent to:
[tex]\displaystyle (2x+5)^{15} = \sum_{k = 0}^{15} {15 \choose k} (2x)^{15-k}\cdot 5^k[/tex]
To find the sixth term, let k = 5. Therefore, the sixth term is:
[tex]\displaystyle \begin{aligned} z_6 &= {15\choose 5} (2x)^{15-5}\cdot 5^5 \\ \\ & = {15\choose 5}x^{10} \cdot (2)^{10}\cdot 5^5 \\ \\ &= 9609600000x^{10}\end{aligned}[/tex]
Part B)
Likewise:
[tex]\displaystyle \begin{aligned} \left(x^2 + \frac{5}{x}\right)^9 = \sum_{k=0}^9 {9\choose k}(x^2)^{9-k}\left(\frac{5}{x}\right)^{k}\end{aligned}[/tex]
To find the fourth term, let k = 3. Therefore, the fourth term is:
[tex]\displaystyle \begin{aligned} z_4 & = {9\choose 3}\left(x^2\right)^{9-3} \left(\frac{5}{x}\right)^{3} \\ \\ & = {9\choose 3}x^{12} \cdot \frac{5^3}{x^3} \\ \\ & = 10500x^9\end{aligned}[/tex]
The circle below has a center D and its diameter is 10 feet. Given that m angle A D B equals 35 degree, find the length of major arc stack A C B with overparenthesis on top.
A circle with center D and points A B C on the circle. Angle A D B is 35 degrees formed by radius B D and A D.
Group of answer choices
35 over 36 straight pi feet
325 over 18 straight pi feet
325 over 36 straight pi feet
35 over 18 straight pi feet
The length of major arc ACD in the circle with center D is given as (325/36)π feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The length of major arc ACD = [(360 - 35) / 360) * 2π(10/2) = (325/36)π feet
The length of major arc ACD in the circle with center D is given as (325/36)π feet
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A number cube with faces labeled from 1 to 6 will be rolled once.
The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of rolling the number 2.
If there is more than one element in the set, separate them with commas.
The sample space S = {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}
What is sample space?It is defined as the space in which all possible outcomes are represented in a list form for a particular event.
We have:
A number cube with faces labeled from 1 to 6 will be rolled once.
Let S is the sample space:
As we know, the sample space is the set of all possible outcomes:
S = {1, 2, 3, 4, 5, 6}
The total number of outcomes:
n(S) = 6
The outcomes for the event of rolling the number 2.
E = {2}
n(E) = 1
Thus, the sample space S = {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}
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need help as soon as possible
If it is 78F in Memphis and -14F in Juneau, what is the temperature difference between the two cities?
Formulate
Based on the given conditions, formulate:
78 - (-14)
Calculate
78 - (-14)
Determine the sign
78 +14
Calculate
92
SO THE ANSWER IS 92
Mary, Bozo, Lee, Jan, Jay, and Nelly are on the academic challenge team. The club advisor will assign students to 3-person teams at the next competition. How many different 3-person teams can be formed from these six students?
Answer:
two groups
Step-by-step explanation:
you just divide the six students into two groups of two
help me please thank you :D
Answer:
5/7 - 2/6 = 16/42
Choice 4^th
Step-by-step explanation:
Given equation:
5/7 - []/6 = 16/42
To Find:
The missing numerator
Solution:
Let us assume that the missing numerator is x.
Then the equation will be:
[tex] = > \cfrac{5}{7} - \cfrac{x}{6} = \cfrac{16}{42} [/tex]
Solve the equation to get our solution.
[tex] = > \cfrac{5}{7} - \cfrac{1x}{6} = \cfrac{16}{42} [/tex]
You'll need to re-write this equation as:
[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} = \cfrac{8}{21} [/tex]
Subtract 5/7 from both sides:
[tex] = > \cfrac{ - 1x}{6} + \cfrac{5}{7} - \cfrac{5}{7} = \cfrac{8}{21} - \cfrac{5}{7} [/tex]
[tex] = > \cfrac{ - 1}{6} x = \cfrac{ - 1}{3} [/tex]
Multiply both sides by 6/-1:
[tex] = > \cfrac{ \cancel{- 1}}{ \cancel6} x \times \cfrac{ \cancel6}{ \cancel{- 1}} = \cfrac{ \cancel{- 1}}{ \cancel3} \times \cfrac{ \cancel6 {}^{2} }{ \cancel{ - 1} }[/tex]
[tex] = > \boxed{ x = 2}[/tex]
Hence,
5/7 - 2/6 = 16/42
Choice 4^th
[tex] \rule{225pt}{2pt}[/tex]
Solve for x. Calculate the area
Answer:
32 sq inches
Step-by-step explanation:
Hope that given shape is a rectangle.Measures of the opposite sides of a rectangle are equal-> x/2 = 8->x = 8*2-> x = 16 inches-> x/4 = 16/4 = 4 inchesA (rectangle) = 8*4 = 32 sq inchesMatt hunts 5 out of 7 days in bow season. If bow season is 35 days long, how many days does Matt hunt?
Answer:
25
Step-by-step explanation:
35 days is 5 weeks , 7 days is 1 week
if f(x) = 4x²-2 then f(-2) is
A model plane weighs 150 grams, rounded to the
nearest ten grams.
How much could the plane weigh?
Answer:
its 150
Step-by-step explanation:
the "ten" is 5 to round it it will have to be the number to the right, which is 0 if its below 4 its changed to 0 and nothing happens to the ten
Which of the following is the equation of the quadratic function below?
10
-10
10
O A. y = x² +9x-18
OB. y=x²-2x+1
C. y=x²-9x+18
OD. y=x²+2x-1
-10
Answer:
ehhhh probably C cuz it makes more sense
The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold?
The income that's made based on the equation when 1 comb is sold is $0.5.
How to calculate the price?From the information given, the equation is given as y = x/2. In this case, it was illustrated that the income is depicted based on the combs sold.
Therefore, the income by selling 1 comb will be:
y = 1/2
y = $0.5
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please help, i need it done by today but dint know how to solve it
Answer:
B
C
B, C
Step-by-step explanation:
Equation for each tree's growth.
A: y = 4x + 5
You are correct.
B: Your slope is correct, 4.5
Equation of height: y = 4.5x + 3
C: It starts at 10 inches, so in y = mx + b, b = 10.
Now we find the slope from points on the graph (0, 10) and (3, 20).
slope = m = (20 - 10)/(3 - 0) = 10/3
Equation: y = 10x/3 + 10
Questions:
Which tree is growing fastest:
The slope is the rate of growth.
Answer: B since it has the greatest slope.
Tallest tree when planted:
The y-intercept is the4 initial height.
Answer: C since it was 10 inches tall at planting.
Challenge:
A: 4x + 5 = 4(6) + 5 = 29
B: 4.5x + 3 = 4.5(6) + 3 = 30
C: 10x/3 + 10 = 10(6)/3 + 10 = 30
Trees B and C were both 30 inches at 6 months. Tree A was 29 inches.
Answer: B and C
What is the answer to this question
Answer:
3/2,6
Step-by-step explanation:
Answer:
answer is 6/4 because 18/6=3,12/4=3 so,
Solve for x. Round to nearest tenth
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Image above
Answer:
x ≈ 4.4
Step-by-step explanation:
using the tangent ratio in the right triangle
tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{UV}{VW}[/tex] = [tex]\frac{4.1}{x}[/tex] ( multiply both sides by x )
x × tan43° = 4.1 ( divide both sides by tan43° )
x = [tex]\frac{4.1}{tan43}[/tex] ≈ 4.4 ( to the nearest tenth )
The value of x, Round to nearest tenth is,
⇒ x = 4.4 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A triangle is shown in image.
Now, We can formulate;
tan 43° = Opposite / Base
⇒ tan 43° = 4.1 / x
⇒ 0.932 = 4.1 / x
⇒ x = 4.1 / 0.932
⇒ x = 4.39
⇒ x = 4.4 units
Thus, The value of x, Round to nearest tenth is,
⇒ x = 4.4 units
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The residents of city voted.
on whether to raise property
taxes. The ratio of yes votes
to no votes was 5 to 4. If
there were 6741 total votes,
how many no
votes were there?
Answer:
2996
Step-by-step explanation:
5x + 4x = 6741
9x = 6741
x = 6741/9
x = 749
to get the no votes,
4x i.e 4*749
=> 4*749 = 2996
hope this helps :)
Answer:
2996
Step-by-step explanation:
You want to estimate the proportion of students at your university in favor of a longer spring break. Changing the confidence level from 95% to 90% will make the necessary sample size ________ if the margin of error stays the same.
Changing the confidence level from 95% to 90% will make the necessary sample size decrease if the margin of error stays the same.
How to complete the blank?From the question, we understand that the confidence level decreases from 95% to 90%
When the confidence level decreases, the sample size increases because the standard error increases
Hence, the statement that completes the blank is decrease
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Evaluate the functions for the given input values.
f(x) = x² + 1
g(x) = 2f(x)
g(-3) =
g(2) =
g(7) =
Answer:
g(-3) = 20
g(2) = 10
g(7) = 100
Step-by-step explanation:
g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).
g(x) = 2f(x)
g(x) = 2(x² + 1)
Multiply.
g(x) = 2x² + 2
Now that we have g(x) we just substitute values in the function.
g(-3) = 2(-3)² + 2
= 2(9) + 2
= 18 + 2
= 20
g(2) = 2(2)² + 2
= 2(4) + 2
= 8 + 2
= 10
g(7) = 2(7)² + 2
= 2(49) + 2
= 98 + 2
= 100
Karen purchased a used vehicle that depreciates under a straight line method the initial value if the car is 4400 and the salvage value is 800 if the car is expected to have a useful life of another six years how much will it depreciate each year?
Answer:
Karen expects the vehicle to depreciate by 600 each year.
Step-by-step explanation:
Given:
- initial value: 4400
- salvage value: 800
- another six years
It is expected to depreciate from 4400 to 800 in 6 years.
The depreciation per year is the ratio
depreciation per year = (total depreciation) / (number of years)
Total depreciation is the change in value, so the depreciation per year is
(4400 - 800)/6 = 600
If y varies directly as x and y = 8 when x = 4, what is the value of y when x = 16? a. 32 b. 16 c. 64 d. 28
By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.
How to get the value of y when x = 16?If y varies directly with x, then we can write the relation as:
y = k*x
Where k is the constant of proportionality.
First, we know that when x = 4, we have y = 8, replacing that we get:
8 = k*4
Solving for k, we get:
k = 8/4 = 2.
Then the relation between x and y is:
y = 2*x
When x = 16, we have:
y = 2*16 = 32
Then the correct option is a.
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2.5. For his homework Thulani defined a factor as: "Factors of a number are formed when the number is multiplied by 1; 2; 3; 4". You realise that Thulani has a misconception when it comes to factors and multiples. (5)
Answer:
yes of course it was a question about the same as you can use it for a while now I am with you forever
Find the measure of side b
Answer:
230??
Step-by-step explanation:
If C =270°
And b=40°
270-40= 230
Actually belive the one on top
Write the ratio 6 mm: 180 cm in the form 1:n
The ratio in the form of 1 :n is 1:300.
What is a ratio ?Ratio of two number A and B is the comparison of A with respect to B and when two ratios are equal they are said to be in proportion.
It is given that a ratio is
6mm : 180cm
It has to be simplified in the form of
1:n
1 cm = 10mm
therefore
180 cm = 1800 mm
6mm:180cm = 6/ 1800
= 1/300
Therefore the ratio in the form of 1 :n is 1:300.
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A 12 m ladder propped against a wall forms an angle of 60° with the ground. Determine
how far the top of the ladder is from the ground. Include a diagram.
Answer:
the top of the ladder is approx 8.485 meters off the ground
written explanation included
Step-by-step explanation:
I should probably write this out in one note but bear with me, please.
Assuming the ground and the wall meet at a 90° angle
therefore the angles of the triangle formed are 90°, 30°, and 60°
Find the inequality represented in the graph.
Answer: y > -1/2x + 2
Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.
Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis
Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}
(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)
Find the mean of the following data : 9, 15, 17, 18, 6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10, 7
A. 18
B. 11
C. 12
D. 15
Answer:
C.
Step-by-step explanation:
9+ 15+ 17+ 18+6+ 20+ 8+ 5+ 18+ 18+ 10+ 5+ 14+ 12+ 10+ 7=192
192/16=12
Hope this helps!
If not, I am sorry.
Select all the possible names for the shape.
The possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.
What are the possible names of the given shape?First we take a look of the properties of the likely names;
Properties of Parallelograms
Opposite sides are parallel.Opposite angles and sides are congruent.Same-Side interior angles (consecutive angles) are supplementary.Diagonals of a parallelogram bisect each other,Properties of Quadrilaterals
Has four sides.Two diagonals.some of interior and exterior angle gives 360 degree.Properties of Rectangles
Opposite sides are parallel and equal to each other.Each interior angle is equal to 90 degrees.The diagonals bisect each otherProperties of Rhombus
Rhombus has four interior angles.The opposite angles of a rhombus are equal to each other.All four sides are equalProperties of Trapezoids
The bases (the top and bottom) are parallel to each otherThe base angles and the diagonals of an isosceles trapezoid are equal.The side lines are not parallelFrom the properties, the shape is not a rectangle because each of the interior angle is not 90 degrees. It is not a Rhombus because all its sides are not equal. It is not a Trapezoid because only the bases are parallel to each each other.
Hence, the possible names for the shape in the image are Parallelogram and Quadrilateral since it has two equal opposite sides which are parallel.
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