Answer:
diameter ÷ 2 = 8 ÷ 2 = 4
Step-by-step explanation:
simplify the following boolean expression (A+B) (A+B)
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[tex](A + B)(A + B) = [/tex]
[tex] {A}^{2} + 2AB + {B}^{2} [/tex]
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If f(x) = 22 +3 and g(2) = 32 – 2, then what is (f.g)(x)?
Answer:
(22+32) (3) I think
Step-by-step explanation:
Determine the number of real solutions of the following system of equations.
y = x^2 + 1
y=1
O 3
O 0
O 2
O 1
HELP PLEASE NO FOOLISH ANSWERS
QUESTION: When we apply a force to something, it moves! Mass is important for calculating how fast things accelerate (change speed) when we apply a force to them. What determines how fast a car can speed up? You probably know that your car accelerates slower if it has five adults in it than if it only has one. IDEK WHY THIS IS A MATH PROBLEM-
Answer:
Mass determines how fast a car can accelerate. Since a car accelerates slower with more adults, and faster with less adults, this means that the mass has a big impact on acceleration. Therefore, we can conclude that the mass determines how fast a car can accelerate.
What volume would a 200 g sample of gold have, if its density is known to be 19.3
Answer:
The volume that a 200 g gold sample would have is 10.36 mL.
Step-by-step explanation:
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
In this case it is known that the density of gold is 19.3 g / mL. This indicates that in 1 mL there are 19.3 g. Then the following rule of three can be applied: if 19.3 g is contained in 1 mL, how much volume is 200 g of gold?
[tex]volume=\frac{200 g*1mL}{19.3g}[/tex]
volume= 10.36 mL
The volume that a 200 g gold sample would have is 10.36 mL.
Lou deposited $3,500 into a savings account. The simple interest rate is 4%. How much interest will the account earn in 10 years?
Answer:
2 years : $280
10 years: $1400
Step-by-step explanation:
The amount of interest earned in 10 years will be $1,400.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
$3,500 was put into a savings account Lou. 4% is the simple interest rate.
The amount of interest after 10 years is calculated as,
I = ($3,500 x 4 x 10) / 100
I = $1,400
The amount of interest earned in 10 years will be $1,400.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ7
Please help! Not good at math whatsoever!!
At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?
its one hour but I don't know the minutes
Its not 5 min
Answer:
Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.
The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.
Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.
Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.
Now, we calculate.
6m = 0.5m+30
5.5m = 30
m = 30/5.5
m = 5.45
So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.
So, our final total is 1 hour 5 minutes and 27 seconds.
Step-by-step explanation:
Solve five and three sixths minus two and one third.
(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP ASAP!)
A) Two and three eighteenths
B) two and two ninths
C) three and two ninths
D) three and three eighteenths
(Here is an image if needed) :
Answer:
3 3/18
Step-by-step explanation:
5 3/6-2 1/3
We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:
33/6-7/3
Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:
33/6-14/6
Now we can subtract the numerators.
19/6
To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.
HTH :)
Answer:
3 3/18
Step-by-step explanation:
what is an equation for the translation of y=|x| left 7 units?
Answer:
y,x-7
Step-by-step explanation:
I think this is it
Answer:
y=x-7
Step-by-step explanation:
Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28
Answer: 49
see below for work
Answer:
gang gang
Step-by-step explanation:
Nicki's class needs to raise 89.45 in order to have a pizza party so far she has 69.90 how much more money does Nicki's class need to buy the pizza party?
Helppp ASAP. Emma wants to enlarge a square photo and print it to a square canvas. The side
length of the canvas is 12 in. The scale from the canvas to the photo is 4 in. to 1 in.
What is the side length of Emma's photo? Show your work.
Write the logarithmic expression as single logarithmic with coefficient 1, and simplify as much as possible. Assume that all variable expressions represent positive real numbers.
[tex] \frac{1}{3} log_{5}(p) + log_{5}(p^{2} - 25 ) - log_{5}(p - 5) [/tex]
Thanks in advance.
Answer:
log₅(p)¹/³(p+5)Step-by-step explanation:
1/3log₅(p) + log₅(p²-25) - log₅(p-5) = 1/3log₅(p) + log₅(p+5)(p-5) - log₅(p-5) =1/3log₅(p) + log₅(p+5) + log₅(p-5) - log₅(p-5) =1/3log₅p + log₅(p+5) =log₅(p)¹/³(p+5)Answer: The answer is log₅(p)¹/³(p+5).
Step-by-step explanation:
The regular price of an item is $109.99. It is marked 25% off. Find the discount and the sale price to the nearest cent.
Answer:
The discount price is $27.50
The sale price of item is $82.49
Step-by-step explanation:
Regular price of item = $109.99
Discount = 25%
We need to find discount and the sale price to the nearest cent.
Finding Discount Price
First we need to find 25% of 109.99 which is the discount price
[tex]25\% \ of \ 109.99\\=\frac{25}{100}*109.99\\=27.50[/tex]
The discount price is $27.50
Now, finding Sale price
Sale Price= Regular Price - Discount Price
Sale Price= 109.99 - 27.50
Sale Price = 82.49
The sale price of item is $82.49
Someone please help thank you ! With full answers
Answer:
[tex]A) h=\frac{V}{\pi r^2}[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h\\h=\frac{V}{\pi r^2}[/tex]
Please hurry please
Answer:yes
Step-by-step explanation:
44/4=11
11 is less than 27
simplify this complex fraction 4/3/2/5
Answer:
If the question is (4/3) / (2/5), then the answer is 10/3 or 3 and 1/3
Step-by-step explanation:
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no
Answer:
Step-by-step explanation:
Given function is h(t) = -16t² + 1500
a). For h(t) = 1000 feet,
1000 = -16t² + 1500
1000 - 1500 = -16t² + 1500 - 1500
-500 = -16t²
t² = [tex]\frac{500}{16}[/tex]
t = [tex]\sqrt{31.25}[/tex]
t = 5.59 sec
b). For h(t) = 940 feet,
940 = -16t² + 1500
940 - 1500 = -16t² + 1500 - 1500
-16t² = -560
t² = [tex]\frac{-560}{-16}[/tex]
t = [tex]\sqrt{35}[/tex]
t = 5.92 sec
c). For domain and range of the function,
When the jumper comes down to the ground,
h = 0
0 =-16t² + 1500
t² = [tex]\frac{1500}{16}[/tex]
t = [tex]\sqrt{93.75}[/tex]
t = 9.68 sec
Since, x-values on the graph vary from x = 0 to x = 9.68,
Domain : [0, 9.68]
Vertex of the quadratic function: (0, 1500)
Since, coefficient of the highest degree term is negative, parabola will open downwards.
Therefore, y-values of the function will vary in the interval y = 0 to y = 1500
Range: [0, 1500]
Penny’s bank account showed a balance at the beginning of the month of $180. She
spent $2.50 each day on bus tokens. Write an equation representing the amount A left in
her account after d days.
Answer:
[tex]a=180-2.50d[/tex]
Step-by-step explanation:
If Penny starts with a balance of $180, and [tex]a[/tex] represents the account left in her account after [tex]d[/tex] days. we can start modeling an incomplete equation:
[tex]a=180[/tex]
We are then told that she spends $2.50 each ([tex]d[/tex]) day. This can be represented as:
[tex]2.50d[/tex]
Let's now include the expression into the incomplete equation. Remember that since she is spending, the [tex]2.50d[/tex] will be subtracted from her balance of $180:
[tex]a=180-2.50d[/tex]
help help help pls pls ASAP
Answer:
#6 slope is -1/2 and y intercept is 4
#8 slope is 1/3 and y intercept is -2
Step-by-step explanation:
Find the coordinates of the reflection: B (7,-1) is reflected over the x-axis B’=?
Answer:
(7;1)
Step-by-step explanation:
The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.
However the ordinate of the point B' will have the opposite sign as ardinate B. However the module of ordinate B' is going to be the same as module of orrdinate B.
Simplify the given expression. Write your answer with positive exponents.
(See picture below to see problem)
Answer:
heres your answer
Step-by-step explanation:
here you go miss.
a garden store is making seed package . Each package contains 35 seeds. There are 1960 seeds available. How many seed package can be made ?
Divide total seeds by seeds per package:
1960 / 35 = 56
56 packages can be made.
Determine if parallel, perpendicular, or neither.
3y+x=12
-y=8x+1
Answer:
neither
Step-by-step explanation:
1. if to re-write the equation they will be (in standart form y=kx+b):
3y+x=12 ⇔ y=-1/3 x+12 and -y=8x+1 ⇔ y= -8x-1
2. if the lines are parallel, then k₁=k₂, but k₁=-1/3 and k₂=-8 (k₁≠k₂);
3. if the lines are perpendicular, then k₁*k₂= -1, but k₁*k₂=8/3≠ -1;
4. finally, neither.
How many decimals are between the number zero and -1
Answer:
an infinite amount
Step-by-step explanation:
Think about it this way:
A decimal between 0 and -1 is -0.1, right?
But so is -0.11...
...And -0.111, and -0.1111, and so on.
Since you can add any amount of decimal places, the number of potential decimal numbers between 0 and -1 must be infinite.
HTH :)
Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.
Which statement is true?
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 3 votes.
For every vote Phil received, Natalie received 3 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 3 votes.
Answer:
Por cada 4 votos que recibió Natalie, Phil recibió 3 votos.
Step-by-step explanation:
Which number line shows the solution to the inequality?
x + 1> 5
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?
The answer is not 80 btw
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Answer:
130°
Step-by-step explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Compare. Select <,>, or=.
8.465? V 8.445
Answer:
8.465>8.445
Step-by-step explanation:
8.465>8.445
So 8.465 is greater than 8.445