Answer:
7x + 10 ≥ 45
Step-by-step explanation:
Given that:
Number of shelves = 7
Number of houses to display on each shelf = x
Number of houses to display = atleast 45 (≥)
Number displayed on buffet = 10
Number displayed on buffet + (number of shelves * number per shelf) ≥ number of houses to display
10 + (7 * x) ≥ 45
7x + 10 ≥ 45
‼️GEOMETRY‼️
What is the approximate surface area of the largest sphere that can fit inside a cube with a side length of 18 inches?
1018 square inches
1356 square inches
4069 square inches
6104 square inches
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
[tex]SA=4\pi r^2[/tex]
For this formula, we need the radius of the sphere. Divide the diameter by 2:
[tex]\frac{18}{2}=9[/tex]
The radius is 9 inches. Plug this into the equation:
[tex]SA=4\pi *9^2[/tex]
Simplify the equation:
[tex]SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87[/tex]
Round the result to the nearest whole number:
[tex]1017.87[/tex] → [tex]1018[/tex]
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
State if the given functions are inverses. *
Answer:
i beleive its a yes
Step-by-step explanation:
6 3/5 - 1 2/3 = ?
find the answer to the Mix number problem.
Answer:
4 14/15
Step-by-step explanation:
What are the coordinates of (2,5) after a reflection of the x-axis?
Answer:
(2,-5)
Step-by-step explanation:
rule: (x,y) ---> (x,-y)
(2,5) ----> (2,-5)
Four dice are placed into your hand and you roll all dice onto the floor. What are the odds that all
four dice will show an even number?
Answer:
0.0625 or 6.25%
Step-by-step explanation:
You have a 50% chance of each die to roll a even. Since you are rolling 4 you need to times them together. So .5*.5*.5*.5=0.0625 or 6.25%
A collection of triangular and square tiles contain 50 pieces and 170 sides. Write and solve a system to find how many triangular and square tiles there are.
Answer:
30 triangular tiles and 20 square tiles
Step-by-step explanation:
hope this helps
Can you leave a radical in the denominator?
Yes
No
Answer:
no
Step-by-step explanation:
Traditionally, a radical or irrational number cannot be left in the denominator (the bottom) of a fraction. When a radical does appear in the denominator, you need to multiply the fraction by a term or set of terms that can remove that radical expression.
Please help me It was due a few weeks ago!
Consider the equation r = 5 sin(θ). Use the drop-down boxes to complete the sentences.
The solutions to the blanks are Circle, y-axis and 5 units, respectively.
What is the equation of the circle?The equation of the circle whose center is coordination at (h,k) and radius is r will be
(x -h)² +(y -k)² = r²
where (h,k) is the coordination of its center and r is the radius.
We have,
r = 5 sinΘ
So,
When the center of the circle is at origin (0,0);
Then x² + y² = r²
So,
We have, r = 5 sinΘ
So,
For 0 ≤ θ ≤ π,
The circle is developed above the x-axis and symmetrical about the y-axis (θ=π/2)
The circle has a radius of 5/2, centered at (0, 5/2), so the diameter is 5 units.
And hence the greatest distance between any two points on a graph is 5 units.
Therefore, the solutions to the blanks are Circle, y-axis, and 5 units, respectively.
Learn more about the circle here:
https://brainly.com/question/17357009
#SPJ2
Can someone divide these two? I forgot how to over quarantine and it’s my sisters homework
Answer:
Step-by-step explanation:
PLZZ HELP PLZ!!!
1. Draw the points on the graph to represent the solutions.
2. What are the solutions? List them as ordered pairs.
(x,y)
10
3. Based on the graph, would you expect the discriminant
to be positive, negative, or equal to zero?
Answer:
1. The solutions marked on the attached graph
2.The solutions are (-2, 0) and (6, 0)
3. The discriminant would be positive
Step-by-step explanation:
The solution of the quadratic equation is the values of x at y = 0, which means the points of intersection of the graph and the x-axisThe discriminant is positive if the graph intersects the x-axis at two different pointsThe discriminant is zero if the graph intersects the x-axis at only one pointThe discriminant is negative if the graph does not intersect the x-axisBased on the given graph
1.
Look at the attached figure to see the solutions
2.
∵ The graph intersects the x-axis at points (-2, 0), (6, 0)
∴ The solutions are (-2, 0) and (6, 0)
3.
∵ The discriminant is positive if the graph intersects the x-axis
at 2 different points
∵ The given graph intersects the x-axis at points (-2, 0) and (6, 0)
→ They are different points
∴ The discriminant would be positive
Somebody help me please
Answer:
9. m < 1 = 30
10. m < 1 = 83.1
11. m < 1 = 90
12. X= 70, Y= 110, Z= 30
13. X = 80, Y = 100
14. C = 60
Hope this helps.
Which of the following represents 2 – 4i?
Answer:
Graph B
Step-by-step explanation:
edge
1/2 +4/7 please help me
Answer:
next time dont answer my question saying dumb shi
Step-by-step explanation:
HELP PLEASE QUICKLY!! Please
3x-y=7
2x+3y=12
how do you solve?
Step-by-step explanation:
2x+3(-7+3x)=12
x=3
y=-7+3x3
y=2
(x,y)=(3,2)
pls help i don't know what it is asking
Answer:
e=1
Step-by-step explanation:
Hello! Please help.
"Find the error & explain why it is wrong."
Answer: Step E
Step-by-step explanation:
The error is in the last step. In Step D, we see that we're supposed to subtract the second part from the first part. We also see we have the terms 2x-8 in the numerator on the right. Since we're subtracting, the expression should actually be -2x +8. 3 -2x +8 should be -2x +11 which is not the numerator in Step E so the last step is wrong.
2x – 7 = 5x + 8
solve for x
Answer:
-5=x
Step-by-step explanation:
2x-7=5x+8
get like terms on the same side
-7-8=5x-2x (I did this in one step hope you understand if not i can explain)
simplify
-15=3x
divide both sides by 3
-5=x
Solve using elimination
3x+3y=27
x-3y= -11
Answer:
(4, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertyAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
3x + 3y = 27
x - 3y = -11
Step 2: Solve for x
Eliminate y (add equations): 4x = 16Divide 4 on both sides: x = 4Step 3: Solve for y
Define original equation: x - 3y = -11Substitute in x: 4 - 3y = -11Subtract 4 on both sides: -3y = -15Divide -3 on both sides: y = 5what is the y=mx+b for y=-2x+5 and 2y+4x=10
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. How many inches are there in 12 meters
Answer:
1200 centimeters
Step-by-step explanation:
if you have 100 centimeters in 1 meter and there are 12 meters you can just multiply the number of centimeters by 12 or whatever number is needed in this case 12 so when you multiply 12 x 100 you get 1200
Find the first, fifth, and tenth terms of the sequence that has the rule:
A(n)=-8+(n-1)(4)
Step-by-step explanation:
A(n)=-8+(n-1)(4)
A(1)=-8
A(5)=-8+16
=8
A(10)=-8+36
=18
Gaston is buying frult at a local grocery store. This table shows the cost per pound of each type of fruit. Match each
quantity of fruit with its total cost. Drag the items on the left to the correct location on the right.
3 pounds of bananas
4.24
4 pounds of grapes
2.37
3 pounds of oranges
1.95
2 pounds of apples
2.68
Answer:
bananas=$12.72
grapes=$9.48
oranges=$5.85
apples=$5.36
Step-by-step explanation:
To find the total cost for each fruit you would multiply the number of fruit by the cost.
bananas=3*4.24=$12.72
grapes=4*2.37=$9.48
oranges=3*1.95=$5.85
apples=2*2.68=$5.36
what is the answer?
Answer:
4
Step-by-step explanation:
a triangle has angles that add up to 180°
an equilateral triangle has equal angles
so each angle is 60° (because 180/3 is 60)
so 10x +20 = 60
10x = 40
x = 4
What is the constant term in the polynomial expression -7x2 + 32x + 240, and what does it represent?
Answer:
The constant term is 240. A constant term represents a fixed value. In other words, a term that does not change.
Step-by-step explanation:
In the polynomial expression given, the first and second terms are dependent of x, which means whatever the value x is, the terms will change. For example, if x = 2, we have -7(4) + 32(2) + 240. As you can see the constant never changes because it does not rely on a variable; it is constant.
TRIGONOMETRY (sin,cos,tan)
Solve for x
Answer:
22.6
Step-by-step explanation:
The cos of any angle is its adjacent over its hypotenuse:
cos 37 = 17.3 / x
We can multiple both sides by x to get x * cos 37 = 17.3 and then we can divide both sides by cos 37 to get x by itself:
x = 17.3 / cos 37
So solving for x, x is equal to about 22.6
Is the vertex of the function y-
-1
2 x² - 4
a maximum or a minimum? How can you tell?
a. Minimum, because it is below the x-axis.
b. Minimum, because there is no bx term.
C. Maximum, because the coefficient on za is a fraction smaller than 1.
d. Maximum, because the coefficient on xo is negative.
Solve using long division
(x^2 – 3x - 40) / (x+5)
Answer:
X-8
Step-by-step explanation:
Thats it.
2x + 8y = 6
-2x - 8y = -6
Answer:
zero
Step-by-step explanation:
the answer for this equations is zero , you can message me if you need the proof
Thank you.