Answer:
-5x⁹ y⁵
Step-by-step explanation:
x⁵y² ((-5x⁴)(y³)) = -5x⁹ y⁵
Answer: x5y2(5x4y3) =5x9y5
Step-by-step explanation:
There are many cylinders with a volume of cubic inches. The height in inches of one of these cylinders is a function of its radius in inches where . What is the height of one of these cylinders if its radius is 2 inches? What is the height of one of these cylinders if its radius is 3 inches? What is the height of one of these cylinders if its radius is 6 inches?
Answer:
1. If its radius is 2 inches, the height is 36 inches.
2. If its radius is 2 inches, the height is 16 inches.
3. If its radius is 2 inches, the height is 4 inches.
Step-by-step explanation:
Here is the complete question:
There are many cylinders with a volume of 144[tex]\pi[/tex] cubic inches. The height [tex]h(r)[/tex] in inches of one of these cylinders is a function of its radius [tex]r[/tex] in inches where [tex]h(r) =\frac{144}{r^{2} }[/tex] .
1. What is the height of one of these cylinders if its radius is 2 inches?
2. What is the height of one of these cylinders if its radius is 3 inches?
3. What is the height of one of these cylinders if its radius is 6 inches?
Step-by-step explanation:
1. To determine the height of one of the cylinders if its radius is 2 inches,
From the question,
Since height [tex]h(r)[/tex] of one of these cylinders is a function of its radius [tex]r[/tex], and
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 2 inches
[tex]h(r) =\frac{144}{2^{2} }[/tex]
[tex]h(r) =\frac{144}{4 }[/tex]
[tex]h(r) = 36 inches[/tex]
Hence, the height is 36 inches
2. To determine the height of one of the cylinders if its radius is 3 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 3 inches
[tex]h(r) =\frac{144}{3^{2} }[/tex]
[tex]h(r) =\frac{144}{9 }[/tex]
[tex]h(r) = 16 inches[/tex]
Hence, the height is 16 inches
3. To determine the height of one of the cylinders if its radius is 6 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 6 inches
[tex]h(r) =\frac{144}{6^{2} }[/tex]
[tex]h(r) =\frac{144}{36 }[/tex]
[tex]h(r) = 4 inches[/tex]
Hence, the height is 4 inches.
Aubrey's dinner cost $85 She tips the waitstaff 30% for excellent service
Answer:
The total amount she paid would be $105.50.
Answer:
25.5 is the tip -- 110.50 is the total bill.
Step-by-step explanation:
You would calculate .30 (move the decimal over twice to switch from a percentage to a decimale) multiplied with 85 and this gives you 25.5.
85 * .3 = 25.5
Depending on the rest of the question, I added the tip to the amount of the dinner cost to obtain the total bill. You will need to see what the rest of the question is in order to verify which answer you are looking for.
Mercury is the closest planet to the Sun, with an average distance of 35,000,000 miles. It takes light about 3 minutes to travel from the Sun to Mercury. Neptune is the farthest, with an average distance of 2.8 x 109 miles from the Sun. How many times farther from the Sun is Neptune than Mercury? How long does it take light to reach Neptune? Follow the steps to find out. 1. Write the distance from the Sun to Mercury in scientific notation. Include units with your answer.
Answer:
1.
[tex]2765000000 \: or \: 2.765 \times {10}^{9} [/tex]
2.
[tex]273 \: seconds[/tex]
3.
[tex]3.5 \times {10}^{7} [/tex]
Write the equation of the line that contains the given point and has the given slope.
(–8, –8), slope is 3
Answer:
y - 8 = 3(x - 8)
Step-by-step explanation:
Point-Slope Form: y + y₁ = m(x + x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step 1: Define
Point (-8, -8)
Slope m = 3
Step 2: Write in point-slope form
y - 8 = 3(x - 8)
What is the formula for calculating slope? Explain it in full.
Answer:
Use slope formula
Step-by-step explanation:
To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.
Harvy claims that he can map rectangle ABCD to rectangle EFGH. Select all the transformations or series of transformations that support his claim.
Answer:
Option (B) and (D)
Step-by-step explanation:
To understand the relation between rectangle ABCD and EFGH take a point A from rectangle ABCD which is at E of rectangle EFGH after the series of transformations.
Horizontal distance between A and E = 2 - (-10) = 12 units
Vertical distance between A and E = 4 - 2 = 2 units
If the point A is shifted 12 units right and 2 units up we will find the point E.
Therefore, A translation of 12 right and 2 units up has been done.
Rule for the translation,
(x, y) → (x + 12, y +2)
Moreover this,
If rectangle ABCD is reflected over x = -1 and translated 2 units up, rectangle ABCD will overlap the rectangle EFGH.
Therefore, Options (B) and (D) will be the answer.
8+($6)+6
Simplify and solve this expression:
Answer:
6+8=14
14 times 6 is 84
There are 3 batteries that go in a laser pointer if you had 100 lasers and took away the batteries of 5 lasers how much batteries do you have?
Answer:
285
Step-by-step explanation:
300-15=285
Answer:
285
Step-by-step explanation:
3 x 100 = 300
3 x 5 = 15
300 - 15 = 285
Hope This Helps!
an example of a number that is a rational number but not whole
Answer:
2/3
Step-by-step explanation:
If 6 is an element in the domain of f(x) = 9x-25/5, what is the corresponding element in the range?
Answer:
Step-by-step explanation:
f(x) = 9x - 25/5
f(x) = 9x - 5
f(6) = 9*6 - 5
f(6) = 54 - 5
f(6) = 49
=================
You might mean
f(x) = (9x - 25)/5
f(6) = (9*6 - 25) / 5
f(6) = (54 - 25) / 5
f(6) = 29/5
f(6) = 5.8
Moral: please use brackets to clarify the question.
Simplify 5(1 + 3)^2.
Answer:
400
Step-by-step explanation:
5(1+3) to the power of 2
5×1=5 5×3=15
(5+15) to the power of 2
5+15=20
20 to the power of 2 = 400
The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the slope of the line represented by the given equation?
Answer:
The slope of the line is 0.1.
Question 14
1 pts
Which of the following equations represents a line perpendicular to y=1/4x-1?
y = -3/2x+6
y = 3/2x-2
y = -2/3x+7
y = 2/3x-3
Answer:
its the first option, y = -3/2x+6
Step-by-step explanation:
NEED HELP PLEASE BEGGING PLEASE!!!!
Answer:
-54
Step-by-step explanation:
[tex]8(-9) - 6(-3)\\[/tex]
Multiply 8 by -9 and 6 by -3
[tex]-72 - (-18)[/tex]
Subtract[tex]Value = -54[/tex]
Hope this helps
plz mark brainliest
Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its place value. I've made up a song to help you remember this. What is the rule that this is referring to? Write the rule below.
Answer:
The value of every digit in a decimal figure is given by its position in that figure.
Step-by-step explanation:
The Rule:
The value of every digit in a decimal figure is given by its position in that figure.
For the figure 8.888, from left to right,
The first 8 is in units
The second 8 is in tenth (this means 8/10 = 0.8)
The third 8 is in hundreth (this means 8/100 = 0.08)
The fourth 8 is in thousandth (this means 8/1000 = 0.008)
The sum of the place values of the digits after the decimal point = 0.888
when the unit 8 is added, you then get 8.888
if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.
I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.
Answer:
n=31°
Step-by-step explanation:
If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.
We can see that angles 2 and 3 form a right angle, or:
[tex]m\angle 2 + m\angle 3=90^\circ[/tex]
We are also given that:
[tex]m\angle 2=2n-4[/tex]
[tex]m\angle 3=n+1[/tex]
Substituting (get rid of the units):
[tex]2n-4+n+1=90[/tex]
Joining like terms:
[tex]3n-3=90[/tex]
Adding 3:
[tex]3n=90+3=93[/tex]
Solving:
[tex]n=93/3[/tex]
n=31°
Which equation below represents a horizontal line?
x = 4
y = x – 0
y = x + 0
y = 4
Answer:
x=4
Step-by-step explanation:
this should be the answer hope it helps
Someone plz help me thank you.
Answer:
there are 438 blue marbles and 162 red marbles
Step-by-step explanation:
If we were doing it out of 100 there would be 73 blue marbles and 27 red marbles add 73 to 27 and you get 100 so multiply 73 by 6 and you get 438 and then multiply 27 by 6 and you get 162 and 438 to 162 and you get 600. Therefore your answer is 438 blue marbles and 162 red marbles.
hope this helps
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper how many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper
Given :
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.
To Find :
How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.
Solution :
Mass of copper in 50 gm alloy = [tex]50\times 0.12 = 6\ gram[/tex].
Mass of copper in 78 gm alloy = [tex]78\times 0.98 = 76.44\ gram[/tex].
Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.
Percentage of copper in resulting mixture :
[tex]\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%[/tex]
Hence, this is the required solution.
Write your answer as a whole number and remainder.
73 : 8= R
Answer:
9 R 1
Step-by-step explanation:
73/8 = 9 R 1
we know 8x 9 = 72 so we know we have a remainder of 1
you are selling tickets to a school play. students tickets cost 5.00 dollars and adults tickets cost 7.00. you sell a total of 125 tickets and collect 775.00 dollars. how many of each type of ticket did you sell? PLZ HELP SHOW WORK
Answer:adult tickets - 75 and student tickets - 50
Step-by-step explanation:
75x7=525 and 50x5=250, therefore 525+250=775
hope this helps
simplify the expression 6(x+4)+1=
What is the solution to 8x - 3(2x - 4) = 3x - 18?
Answer:
X=30
Step-by-step explanation:
The answer is X=30
Which of the following is r^2 + 4s evaluated for r = 4 and s = 1.5?
14
30
38
22
Answer:
22
Step-by-step explanation:
Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.
Hope This Helps!
Find the missing terms in the sequence:
18, -72, 288,
Answer:
-1,152Step-by-step explanation:
18 · (-4) = -72
-72 · (-4) = 288
288 · (-4) = -1,152
what is a frequency table
Answer: its a method or organizing your info while displaying it
Step-by-step explanation:
Six less than 2/3 of a
number is eighteen.
Answer:
36
Step-by-step explanation:
i think
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answer:120 minutes.
Step-by-step explanation:
look, 12x8x5=480, and 480/4-120
At 9 pm the temperature was -2°C.
By midnight the temperature had gone down by 7 °C.
(b) Write down the temperature at midnight.
Answer:
-9°C.
Step-by-step explanation:
Simple -2°C - 7°C.
3. Samuel tiene 11 cajas con mosaicos cuadrados de 20 cm por
lado y quiere cubrir una pared que mide 3 m de largo y 2 m
de alto. Si en cada caja hay 14 mosaicos, éserá necesario que
compre más cajas?
Matemáticas
Answer:
Primero veamos el área de la pared, es decir, el área total que Samuel debe cubrir.
La pared es de 3m por 2m.
Entonces el area es:
A = 3m*¨2m = 6m^2.
Ahora veamos los mosaicos.
Cada mosaico es un cuadrado de 20cm por 20cm.
El primer paso sería cambiar las unidades para tener metros aca también.
1cm = 0.01m
entonces.
20cm = 20*0.01m = 0.2m.
Entonces cada mosaico es:
0.2m por 0.2m
El área de cada mosaico es:
a = 0.2m*0.2m = 0.04m^2.
En una caja de mosaicos hay 14 mosaicos, entonces con una caja Samuel puede cubrir 14 veces a, o:
14*0.04m^2 = 0.56m^2.
Y Samuel tiene 11 cajas, entonces tenemos 11 veces lo de arriba:
11*0.56m^2 = 6.16m^2.
Y el área de la pared es 6m^2.
6.16m^2 > 6m^2
Entonces con las 11 cajas de mosaicos podemos cubrir completamente esa pared, y vamos a tener algunos mosaicos sobrantes.
Entonces Samuel no debe comprar mas cajas.