The volume of a shape is the amount of space in it.
The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long(a) The volume of one table leg
Represent the side length of the leg with l, and the side length of the notch with n.
So, the expression that represents the volume of one table leg is:
[tex]V = l^3 + n^3[/tex]
(b) The length of the sides
From the question, we have:
[tex]n = 40\% \times l[/tex]
Express 40% as decimal
[tex]n = 0.40 \times l[/tex]
[tex]n = 0.4l[/tex]
Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]
[tex]V =l^3 + (0.4l)^3[/tex]
[tex]V =l^3 + 0.064l^3[/tex]
[tex]V =1.064l^3[/tex]
The volume of the 4 legs is given as: 12636
So, the volume of one leg would be 12636/4
So, we have:
[tex]1.064l^3 = \frac{12636}{4}[/tex]
[tex]1.064l^3 = 3159[/tex]
Divide both sides by 1.064
[tex]l^3 = 2968.985[/tex]
Take cube roots of both sides
[tex]l = 14.37[/tex]
Hence, the sides of the legs is 14.37 inches long
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Give a summary of the lesson what you have learned. about EXPONENTS!!
3. Gracie graphed the line 3x – 4y = -16. Which
ordered pair is in the solution set of 3x – 4y = -16?
19
A.(-2,3)
C. (2,7)
B.(-8,0)
D. (0,-1)
We want to see which ordered pair is a solution for the given line. We will see that none of the points is a solution for the given equation.
So, if you have a graph this is rater easy.
In a point (x, y) the first value represents the horizontal displacement and the second represents the vertical displacement.
So, to see if the points are solutions of the line, you just need to see if the point lies on the graphed line.
Below you can see the graph, there you also can see all the given points.
There you can see that none of the given points lie on the line, so none of these is in the solution set of the line (you can also check this by evaluating the equation in the given points).
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Which graph shows the solution to the system of linear inequalities?
y ≥ 2x + 1
y ≤ 2x – 2
Answer:
See belowStep-by-step explanation:
Given system:
y ≥ 2x + 1 y ≤ 2x – 2The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
From the given inequalities we have boundaries (0, -1) and (0, 2). Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given system of inequalities are y ≥ 2x + 1 and y ≤ 2x – 2.
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
Therefore, option B is the correct answer.
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Write the word sentence as an equation. Then solve.
19 more than a number c is 4.
[tex]19+c = 4\\\\\implies c = 4-19 = -15[/tex]
Suppose you draw two tennis balls at random from a bag containing seven pink, four white, three yellow,
and two striped balls. Find each probability.
l2 P(yellow then pink) without replacing
its a ratio i think .......
What si 19 3/4 + 19 3/8
Answer:
313 over 8=39 and 1 over 8 39 1 /8 =39.125
Step-by-step explanation:
A group of 493 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?
Answer:
3 people.
Step-by-step explanation:
493÷7=70 with 3 remaining.
Question is in picture please help will mark brainliest
[tex]a(n) = ({n + 1})^{2} - 1[/tex]
reduce the following fractto their lowest form
Answer:
a) 3/16
b) 8/7
Step-by-step explanation:
i think the idea there was just simplifying the fractions.
Please help me pleaseeee
I’ll give brainliest
The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to
rent a car from Barely Running is $20 a day. How many days would you have to rent the
car for the cost of both companies to be the same?
Answer:
Step-by-step explanation:
Can someone plz help me?
Answer:
A. 5(y+3) = 5(3+y)
Step-by-step explanation:
NO LINKS!!
On the grid below, which point is located in the quadrant where the x- and y-coordinates are both negative numbers?
Answer:
Point c
Step-by-step explanation:
A is at (6,4), both +
B is at (-4,2) only 1 -
C is at (-7,-2) both -
D is at (5,-4) only 1 -
Hope that helps
Answer:
C
Step-by-step explanation:
C is the answer because dude just look at it. C is in the quadrant where both x and y axis is negative.
Hope This Helps You:)
what is the perimeter of rectangle INA
9.10
10 units
10 unite
18 unita
unite
Answer:P=2(l+w)
Step-by-step explanation: its easy
Find the LCM of 14 and 18 using prime factorizations.
Answer:
126
Step-by-step explanation:
14 = 2 * 7
18 = 2 * 3 * 3
Take any factors they both have and use that number only once (2)
Then multiply together: 2 * 7 * 3 * 3 = 126
Please help I need work shown!!
3x-11=2x+11
x=22
3x-11=55
2x+11=55
55+55+2y=180
2y=70
y=35
x=22 , y=35
Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, â€"16)? f(x) = â€"(x â€" 2)(x â€" 4) f(x) = â€"(x 2)(x 4) f(x) = â€"2(x â€" 2)(x â€" 4) f(x) = â€"2(x 2)(x 4).
To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
[tex]y=a(x-2)(x-4)[/tex]
Where is [tex]a[/tex] number
Substitute 0 for [tex]x[/tex].
[tex]y=a(0-2)(-4)\\y=8a[/tex]
We have y-intercept of (0, –16).
[tex]-16=8a\\a=-2[/tex]
The equation would be,
[tex]f(x) = -2(x - 2)(x - 4).[/tex]
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
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A paralleogram has a perimeter of 56 inches. Two of the sides are each 13 inches long. What is the length of the other two sides
Answer:
15 for each side
Step-by-step explanation:
56-26 is 30, now 30 divided by 2 is 15. So for each side is 15 inches long.
How can you best describe the outside of one of these objects using polygons? The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.
The classification of a polygon is described on the basis of the number of sides and vertices of these objects using polygons. It appears to be because the sides and angles appear to be congruent.
The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.
We have to describe,The outside of one of these objects uses polygons, The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.
According to the question,A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides. However, a polygon is considered regular when each of its sides measures equal in length.
A minimum of three line segments is needed to draw any closed figure. The corners or points where two line segments meet each other are known as the vertex of a polygon.
The classification of a polygon is described on the basis of its number of sides and vertices.
For example, a polygon of three sides and three angles is known as a triangle whereas a polygon of four sides and four angles is known as a quadrilateral.
A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides.
However, a polygon is considered regular when each of its sides measures equal in length.
The lengths of each side of a regular hexagon are equal.
The angles of each side of a regular hexagon are equal.
Hence, The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.
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Answer:
6, hexagon, and regular
Step-by-step explanation:
The object has 6 sides, so it is a hexagon
It appears to be regular because the sides and angles appear to be congruent.
convert 14 in base 10 into base 5
Since
14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,
we have
14₁₀ = 24₅
A baby gains 11 pounds in its first year of life. The baby gained 45 pounds during the first four months and 3 pounds in
4
its second four months. How much did the baby gain in the last four months?
o 3 apo
pounds
O
1
3
2 pounds
O O
4 pounds
O 5 pounds
Answer:
4 pound is the right answer
Mark me as a brilliant
Emily has a bag that contains apple chews, cherry chews, and peach chews. She
performs an experiment. Emily randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Emily performs the experiment 53 times. The
results are shown below:
An apple chew was selected 46 times.
A cherry chew was selected 5 times.
A peach chew was selected 2 times.
Based on these results, express the probability that the next chew Emily removes
from the bag will be apple chew as a percent to the nearest whole number.
Answer:
5%
Step-by-step explanation:
So far, the experiment is done 53 times
Out of the 53 times, an apple chew was selected 46 times
To do this problem, you will do #of times apple chew was selected/ #of times experiment was done to get the probability (46/53) which will give you 5.11 or 5% (rounded as a whole number)
what is 1/5 times 5/6 use a fraction modelto to help you solve.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
These steps are from a chemistry lab.
Assignment:
1. Pour 0.4 grams of salt into beaker A.
2. Add 20% of the salt from beaker A to beaker B.
3. Add 3 ounces of water to beaker B.
4. Stir the solution in beaker B.
Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?
_______________ grams
Answer: The answer to this question is 0.08. I hope this helps!
Step-by-step explanation:
0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08
let's find the value.
3 upon 8 of 2m (in cm)
Answer:
75 cm
Step-by-step explanation:
1 m = 100 cm , so
2 m = 200 cm
Then
[tex]\frac{3}{8}[/tex] × 200 cm
= 0.375 × 200 cm
= 75 cm
Please help me with this problem TwT. Triangles.
Answer:
X = 80°
Step-by-step explanation:
it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18
this means the two bottom angles are the same so the other would also be 50°
Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle
PLS ANSWER QUICK THX
Answer:
(1,49) (4,109)
109-49/4-1=60/3=20
49=20×1+b
29=b
f(c)=20h+29
5. Given no other restrictions, what are the domain and range of the following function?
f(x) = x2 – 2x + 2
OD= all real numbers
R = {yl y> 1}
OD = {xx> 1}
R= all real numbers
OD = all real numbers
R= {yly<1}
OD = {x|x>0}
=
R = all real numbers
Answer:
Step-by-step explanation:
The length of a rectangle is 6 inches more than 4 times its width. A similar
rectangle has a length of 18 inches and a width of 4 inches. What is the area of the
first rectangle??
Answer:
18 × 4 is 72...
so.. the area of rectangle is 72inches²
Step-by-step explanation:
to find the area of rectangle is Lenght multiple with its Width
If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?
18
2
1 half
1
6
Answer:
x = 18
Step-by-step explanation:
difference between y = 12, x=72 is 6
so if y = 3 then multiply 3×6 = 18
Answer:
18
Step-by-step explanation: