Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
jill mixes two types of concentrations od hci (hydrochloric acid) 0.375 liters of 25% hydrochloric acid and 0.625 liters of 65% hydrochloric acid. what is the hcl concentration in the mixed solution?
Answer:
The concentration of HCl in the mixture is 1L of 50% HCl
Step-by-step explanation:
Here, we want to know the percentage of HCl present which refers to the its concentration.
Firstly, the total volume we have is 0.375 + 0.625 = 1 L
we can calculate the percentage as follows;
The percentage of the 25% present is 37.5%
while the percentage of the 75% present is 62.5%
When we say the percentage present, we are referring to the amounts of the total liters which is 1 present.
So the concentration of the final mixture will be;
(37.5% of 25) + (62.5% of 65)
= 9.375% + 40.625%
Adding both gives = 50%
So the concentration we have is 1L of 50% HCl
if f(x) = 3x-2 and g(x) =2x+1 fine (f-g)(x)
Answer:
=x -3
Step-by-step explanation:
f(x) = 3x-2
g(x) =2x+1
(f-g)(x) = 3x-2 -(2x+1)
Distribute the minus sign
= 3x-2 -2x-1
Combine like terms
=3x-2x-2-1
=x -3
If a number is increased by 12 and then divided by 4, the result is 5. The algebraic equation is ?. The number is x= ?
Answer:
I don't have an answer but I have a helpful example.
If a number is increased by 8, the result is 25 Find the number.
Step-by-step explanation:
Let x be the number. Increasing x by 8 gives x + 8, which we are told is 25. Therefore, x + 8 = 25. Subtract 8 from both sides to find x = 17. So, the number is 17.
Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD World buys 35 more units than the other two stores combined, CD World's cost is only $160 per unit. The players cost Hi-Fi $165 each and Ace $170 each. How many players does each retailer buy each month if the distributor receives $31,750 each month from the sale of the players to the three stores?
Answer:
Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115
Step-by-step explanation:
Let x represent the number of items Ace Electronics buys
Let y represent the number of items Hi-Fi Stereo buys
Let z represent the number of items CD World buys
Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:
x + y + z = 195 (1)
Since CD World buys 35 more units than the other two stores combined:
z = x + y + 35 (2)
If you substitute z in equation 1 from equation 2:
x + y + (x + y + 35) = 195
2(x + y) = 195- 35
x + y = 80 (3)
Since z = x + y + 35:
z = 80 + 35
z = 115
Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750
170x + 165y + 160z = 31750 (Substitute x from equation 3 and z as 115)
170(80-y) + 165y + 160(115) = 31750
13600 - 170y + 165y + 18400 = 31750
32000 - 5y = 31750
5y = 250
y = 50
Since x + y = 80:
x + 50 = 80
x = 30
f(x) = 20(1.5)x. Let your dependent variable in the function be y. Write the function that models the independent variable in terms of y, using logarithms.
Answer:
[tex]x=log_{1.5}(\frac{y}{20})[/tex]
Step-by-step explanation:
Considering the function:
[tex]f(x) = 20\, (1.5)^x[/tex]
The independent variable is "x" and we are asked to model it in terms of the variable "y":
[tex]f(x) = 20\, (1.5)^x\\y=20\, (1.5)^x[/tex]
Then, in order to solve for x (which resides in the exponent), we need to use the logarithm function.
Since the base of the exponent is 1.5, we need to use the logarithm base 1.5, to lower that exponent "x":
[tex]y=20\, (1.5)^x\\\frac{y}{20} =(1.5)^x\\log_{1.5}(\frac{y}{20}) =x\\x=log_{1.5}(\frac{y}{20})[/tex]
Albert is a server at an all-you-can-eat sushi restaurant. At one table, the customers ordered 4 child buffets and 1 adult buffet, which cost a total of $86. At another table, the customers ordered 4 child buffets and 3 adult buffets, paying a total of $130. How much does the buffet cost for each child and adult?
Answer:
The buffet cost $16 for adults and $22 for kids
(02.03)At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of dog food? (Input only whole numbers.)
can someone tell me how to do area i forgot
Answer:
the answer is
length * width
or side * side
Step-by-step explanation:
Answer:
Below:
Hope this helps :DDD
Step-by-step explanation:
Area of rectangle / square / parallelogram: Base * height
Area of triangle: [tex]\frac{Base*height}{2}[/tex]
Area of equilateral triangle: [tex]\frac{\sqrt{3} }{4} side^2[/tex]
Area of trapezoid: [tex]\frac{Base1 + Base2}{2}*height[/tex]
Area of circle: [tex]\pi r^2[/tex]
Area of rhombus / kite: [tex]\frac{Diagonal1 * Diagonal2}{2}[/tex]
A middle school took all of its
six grade students on a field trip to see a ballet at the theater that has 1000 seats the students for the 45% of the seats in the theater how many six graders went on a trip ?
What fraction is equivalent to 5%?
A: 50/100
B: 1/20
C: 5/10
D: 1/5
Answer:
1/20
Step-by-step explanation:
5%
Percent means out of 100
5/100
Divide top and bottom by 5
1/20
Answer:
HI THERE,THE ANSWER IS
B
Step-by-step explanation:
[tex]\frac{1}{20} \\[/tex] X 100%=5%
Which is the balanced equation for S3 + O2 – SO2?
O O O O
S8 + 016 — 8S02
Se + O₂ → S₂ + O2
Se + O₂ → S₂0₂
Sg + 802 – 8802
Factor completely. 7 +14 x + 7 x^2
Answer:
(7x+7 )(x+1 )
Step-by-step explanation:
7x²+14x+7
(7x+7 )(x+1 )
7x²+7x+7x+7
7x²+14x+7
Answer: 7(1+x)^2
Step-by-step explanation: I got it wrong because of that person at the top your welcome
two consecutive negative integers have a product of 110 . what are the integers?
What is the measure of each interior angle of a
regular 15-gon?
Answer:
156
Step-by-step explanation:
1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)
2) Plug in 15 for n
180(15-2)
3) Solve
180(15-2)
180(13)
2340
4) There are 15 angles in a 15-gon
5) Divide sum of interior angles by number of interior angles
2340/15 = 156
6) So, the answer is 156 degrees
another EASY question for y’all mathy people, easy points! Question in photo.
Answer:
the answer is c
Step-by-step explanation:
What are the equations of the asymptotes for the function?
f(x)=−3x/−1 −1
vertical asymptote: x=
horizontal asymptote: y=
Answer:
Vertical asymptote x= 1
Horizontal asymptote y= -1
Step-by-step explanation:
Answer:
no asymptotes
Step-by-step explanation:
since y=-3x-1-1 is not a ratinal expression there are no asymptotes.
An ordinary dice is thrown once write down the probability that the dice lands on a number less that 3
Answer:
Probability = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Ordinary dive have sides = 6
Numbers less than 3 on it are = 2
Probability = [tex]\frac{No. OFPossibeOutcomes}{Total NumberOfOutcomes}[/tex]
Probability = [tex]\frac{2}{6}[/tex]
Probability = [tex]\frac{1}{3}[/tex]
Answer:
= 1/3
Step-by-step explanation:
There are two numbers less than 3= 1 and 2
there are total 6 numbers in a dice. So,
= 2/6 = 1/3
Which of the following best describes the English expression the product of
nine and a number minus five?
Answer:
9n-5
Step-by-step explanation:
Let n=the number:
9n-5
Can someone please help me
Answer:
1) A.
2) C.
Step-by-step explanation:
1) 1 pint = 1/2 quarts
15 pints = 15 × 1/2 quarts
15 pints = 15/2 quarts
15 pints = 7 1/2 quarts
2) 1 quarts = 0.95 liters
4 quarts = 0.95 × 4 liters
4 quarts = 3.8 liters
what is the slope line of m (0,6),(3,0)
Answer:
slope= y²-y¹
x²-x¹
0-6
3-0
-6
3
= -2
Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.
Answer:
62.5 %
Step-by-step explanation:
Take the original amount and subtract the new amount
32-12 = 20
Divide by the original amount
20/32 =.625
Multiply by 100 to get to percent form
62.5 %
The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?
It should be B children
Bye giggity giggity gamers! nyah :3
Someone who actually knows what they doing please ♀️
Answer:
5/9 (F-32) = 25
Step-by-step explanation:
5/9 (F-32) = C
Multiply each side by 9/5
5/9 * 9/5 (F-32) =9/5 C
F -32 = 9/5 C
Add 32
F -32 +32 = 9/5 C +32
F = 9/5 C +32
We want 25 C to Fahrenheit
F = 9/5 *25 +32
F = 9*5 +32
F = 45+32
F = 77
Mr. Green’s lawnmower holds 600milliliters of gasoline in the tank. He just filled his 6-liter gas can at the station. How many times will he be able to fill his lawnmower tank from the gas can
Answer: 10 times
Step-by-step explanation:
1 litre = 1000 ml
6 litres = 6000 ml
Lawnmover holds 600 ml
So 6000 ml will fill
6000/600 = 10 times
(Brainliest will be given) Determine which of the following descriptions is accurate.
Answer:
B the size of the circle is a function of the height of the rectangle
Step-by-step explanation:
Please tell me if it is right and give me thanks and brainleist only if right
WILL give brainliest, I need these for my grade :c. 1.Find the Slope 2.Find the Slope 3. Find the midpoint
Answer:
Hard to calculate first one is -1/2
Next one is 2.5/1.5 or 2 its hard to tell because of line (not clear)
Next one is -1/2 I think the numbers are small.
You can sign up for Khan academy for clear answers
Identify the diameter if given the radius and the radius if given the diameter of given circles: 7 cm 25 cm 28 cm 35 cm 100 cm 140 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm
Answer:
Radius. 7, 25, 14, 35, 50, 70
Diameter 14, 50, 28, 70, 100, 140
A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume
Answer:
72 cm³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Let's substitute the given values into this formula:
V = lwh
V = (4)(6)(3)
Solve:
V = (4)(6)(3)
V = (24)(3)
V = 72
Therefore, the volume is 72 cubic centimeters.
Answer:
The answer is 72 cm3
Step-by-step explanation:
4 times 6 times 3
24 times 3
72
;))))))
Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC
Answer:
-3, -3
Step-by-step explanation:
The coordinates of point B on line AC is (6/7, -30/7).
Given that, A(6, -6), C(-6,-2) and AB= 3/4 AC.
What is the section formula?The section formula is P(x, y)[tex]=(\frac{mx_{2} +nx_{1}}{m+n}, \frac{my_{2} +ny_{1}}{m+n} )[/tex].
Now, AB= 3/4 AC⇒AB:AC=3:4
P(x,y)[tex]=(\frac{3(-6)+4(6)}{3+4}, \frac{3(-2) +4(-6)}{3+4} )[/tex]
=(6/7, -30/7)
Therefore, the coordinates of point B on line AC is (6/7, -30/7).
To learn more about the coordinates visit:
https://brainly.com/question/7869125.
#SPJ5
Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables
and solved for the value of the other. This resulted in the equation 7 = 9. What can Vineet conclude?
Answer:
The system of equations does not have a solution.
Step-by-step explanation:
For example, imagine these two equations y = x + 7 and y = x + 9
Now substitute y in the second equation with the value from the first equation:
x + 7 = x + 9
x - x + 7 = 9
0 + 7 = 9
7 = 9.
That happens because the equations represent parallel lines, which do not have a common pair of points.