Answer:
A) 30
B) 12 kg
C) 2,125 m
Step-by-step explanation:
5-64 =
A. -8
B. -4
C. 4 or -4
O D. -16
Determine the greatest common factor of 28xy9z and 32x2y2z
Answer:
4xy^2z
assuming those numbers after the first ones are exponents
Which expression represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours?
A,B,C,D
The expression the represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours is total cost = 9b + 10s
How to find the expression for total cost?The cost of rent for bike and scooters are different.
cost for bike = $9 per hour
cost for scooter = $10 per hour
Therefore, he expression the represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours is as follows:
total cost = 9b + 10s
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Answer: 9b + 10s
Step-by-step explanation:
I - Ready Sucks :)
Find the code word by completing the maze below. To complete the maze you must determine what type of triangle is formed by the given set of dimensions. There are letters in each box that will form the code word you need to unlock puzzle one. The letters will go in order to form the word. MI 4,7,9 Obtusa 5,5,5 obtusa 9.12,15 Acute 12, 16,20 BEGIN Right Acute Right Obtuse N S Acute Right 7, 12, 18 P Acute 15,20,25 1,3,5 6,8,10 Acute Jobtuse Obtuse Right Right 21,28,35 Right P 30, 40, 50 Acute 6, 12,18 12,18,31 Obtuse Obtuse Obtuse Obtuse 3,4,5 Right 2,2,2 Acute 12, 16,20 Right FINISH Code:
Answer:
Inspiring
I hope this helps
How many solutions exist for the given equation?
1/2(x + 12) = 4x - 1
zero
one
two
O infinitely many
Answer: X = 2
Step-by-step explanation:
Step 1: Simplify both sides of the equation!
Step 2: Subtract 4x from both sides.
Step 3: Subtract 6 from both sides.
Step 4: Multiply both sides by 2/(-7).
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximate the population, p. as a function of time in days.t, since the population was 1,500.
The required equation that represent or approximate the population is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
To represent the population, P, as a function of time in days, t, we need to find an exponential growth equation.
Since the population grows exponentially by a factor of 3 every week, we need to convert the weekly growth to daily growth.
Let's break down the problem step by step:
The population grows by a factor of 3 every week.There are 7 days in a week, so the daily growth factor can be calculated by taking the 7th root of 3. (Growth factor per day = [tex]3^{(1/7)[/tex])The initial population is 1,500.Now, we can represent the population, P, as a function of time, t, using the exponential growth equation:
[tex]\mathrm P(t) = \mathrm{Initial \ Population} \times \mathrm {Growth \ Factor}^t[/tex]
where:
Initial Population (Po) = 1,500 (given)
Growth Factor per day = [tex]3^{(1/7)[/tex]
So, the equation representing the population as a function of time in days is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
Hence the required equation that represent or approximate the population is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
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A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.
Answer:
D I just did this
If Mr. Bisby wants to know the average of the grades on a test, what measure of central tendency would he be looking at?
(Spelling counts so make sure to spell it correctly)
Answer: The answer is mean.
Step-by-step explanation:
This measure of central tendency helps you figure out the average of data.
Calculate the area between the two circles, as shown if the smaller radius is 3 and the larger radius is 11
9514 1404 393
Answer:
112π ≈ 351.9 square units
Step-by-step explanation:
Assuming the smaller circle is wholly contained within the larger circle, the difference of their areas is ...
ΔA = (π·11²) -(π·3²) = π·(121 -9) = 112π ≈ 351.9 . . . square units
__
The formula for the area of a circle is ...
A = πr²
Can someone higher please help ?
.....................................................................................
Answer: -0.833 (repeating decimal)
Step-by-step explanation: fg(x) means plug the g(x) equation into f(x), and for gf(x) it’s vice versa:
Fg(x) = 3x^2 - 1 + 2
Gf(x) = 3(x + 2)^2 - 1
First, we should simplify gf(x) to eliminate the (x + 2)^2:
3(x^2 + 4x + 4) - 1
3x^2 + 12x + 12 - 1
3x^2 + 12x + 11
Second, simplify fg(x) by solving -1 + 2: 1
Now, we can set the two equations equal to each other and solve:
3x^2 + 1 = 3x^2 + 12x + 11 (subtract 3x^2 from each other and 1 from 11)
-10 = 12x (Divide)
-0.8333... = x
To make sure this answer is correct, plug -0.833 into the original equations and set them equal to each other:
3(-0.833)^2 + 1 = 3(-0.833)^2 + 12(-0.833] + 11
3.083 = 3.083
Evaluate g(2) given. Help
Answer:
[tex]g(2) = 3[/tex]
Step-by-step explanation:
Given
See attachment
Required
[tex]g(2)[/tex]
To solve this, we make use of:
[tex]g(x) = |7 - x^2|[/tex]
Because [tex]x \le 2[/tex]
i.e. [tex]2 \le 2[/tex]
So, we have:
[tex]g(2) = |7 - 2^2|[/tex]
[tex]g(2) = |7 - 4|[/tex]
[tex]g(2) = |3|[/tex]
Remove absolute brackets
[tex]g(2) = 3[/tex]
If one data point is 36, which point would make 48 the mean?
What is the line segment from the center of the circle to any point on the circle
please help me Answer this question
Step-by-step explanation:
the circle to any point on the circle
Answer:
Radius
.....................
10. If ABCD is a kite, DB=48 in. and CE=7 in. find DC. *
49 in.
23 in.
25 in.
47 in.
Answer:
25 in.
Step-by-step explanation:
DEC is a right triangle. <DEC is a right angle.
(DE)² + (EC)² = (DC)²
DE = ½DB = ½(48 in.) = 24 in.
(24 in.)² + (7 in.)² = (DC)²
576 in.² + 49 in.² = (DC)²
(DC)² = 625 in.²
DC = 25 in.
Here is the final problem jaded
Answer:
x = 12.99
Step-by-step explanation:
Tan(33) = [tex]\frac{x}{20}[/tex]
Tan(33) * 20 = x
12.99 = x
Hope this helps!
Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
Answer:
$630 per week
Step-by-step explanation:
I assume the question is asking:
Amy's older brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?
$18/hour* 35 hours/week = $630/week
A student drops a penny of a house that is 16 feet tall if the equation of height as a function is h(t)= -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the penny to hit the ground
Answer:
Step-by-step explanation:
the correct answer is 1 second
The time it will take for the penny to hit the ground is 1 second.
What is a linear equation?A linear equation has one or two variables.No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
Calculation:-
Given initial feight= 16 feet
h(t)= -16t2 + initial height
for 1 second
⇒ h(1)= -16(1)2 +16
⇒ h = -32 +16
⇒ h = -16 ( 16 feet downward i.e penny will tough the ground)
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what is 70.5 and 79.5 on a number line 60-100?
Answer:
s
Step-by-step explanation:
Help please ASAP thank you!! your awesome if you help
Answer:
Perimeter=56 units
Area =196 square unites
Step-by-step explanation:
The diagonal would be 14√2.
The formula for area using the diagonal is 1/2d².
1/2x(14√2)²=1/2x196x2=196
For perimeter, s²+s²=392
2s²=392
s²=196
s=√196
s=14
14x4=56
It is known that screws produced by a certain company will be defective with probability 0.01, independently of each other. The company sells the screws in packages of 10 and offers a money-back guarantee that at most 1 of 10 screws are defective. That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace
Answer:
The company must replace 0.0042 = 0.42% of packages.
Step-by-step explanation:
For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is known that screws produced by a certain company will be defective with probability 0.01.
This means that [tex]p = 0.01[/tex]
The company sells the screws in packages of 10
This means that [tex]n = 10[/tex]
That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]
[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]
The company must replace 0.0042 = 0.42% of packages.
Solve the system of equations using substitution.
4x – y = 7
3y – 12x = –21
(3, 5)
(6, 17)
no solution
infinite solutions
Answer:
infinitely many solutions
Step-by-step explanation:
solve by substitution:
solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x
Substitute - 7 + 4x into the second equation to obtain:
3(-7 + 4x) - 12x = -21, which yields:
-21 + 12x - 12x = -21, which simplifies 0 = 0
a result of 0 = 0 means infinite solutions such as:
(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....
Answer:
infinite soulutions
Step-by-step explanation:
i just did it and it was right on ed2021...
Kirk used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school. Kirk will receive a scholarship each semester for $1,157.9. If he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items?
Assume two semesters equals 8 months total. Also assume Kirk has no other expenses than what he has listed here.
Scholarship for each Semester: $1,157.9
Tuition & Books Cost per Semester: $2,000
Housing Cost for a two-semester Contract: $1,025
If he has money left, what is the average monthly amount Kirk can afford to spend each month?
If he has overspent, what is the average monthly amount Kirk would be in debt each month?
(Indicate this amount with a negative sign)
(Round your answer to the nearest cent)
Kirk can spend $695.89 each month.
AveragesGiven that Kirk worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school, and Kirk will receive a scholarship each semester for $1,157.9, to determine, if he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items, assuming two semesters equals 8 months total, the following calculation must be made:
(3251.35 + (1157.9 x 2)) / 8 = X(3251.35 + 2315.8) / 8 = X5567.15 / 8 = X695.89 = XTherefore, Kirk can spend $695.89 each month.
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Answer:
Kirk can spend $695.89 each month.
Step-by-step explanation:
#37. What is the next step when solving the equation sin (2x) - sin (x) = 0
sin(2x) - sin(x) = 0
Expand the first term using the double angle identity:
2 sin(x) cos(x) - sin(x) = 0
Factor out sin(x) :
sin(x) (2 cos(x) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(x) = 0 or 2 cos(x) - 1 = 0
sin(x) = 0 or cos(x) = 1/2
[x = 2nπ or x = π + 2nπ] or [x = π/6 + 2nπ or x = 5π/6 + 2nπ]
(where n is any integer)
What is the elasped time of 7:41 pm and 8:50 pm
Answer:
about 1 hour and 9 minutes or 69 minutes
Step-by-step explanation:
I always add the hour first if I can (from 7:41 to now 8:41) and then add however many minutes are left (9 minutes).
Select all the equations that are equivalent
Answer:
52=8n +4
4=52-8n
are equivalent
Answer:
a, b, c, e
Step-by-step explanation:
4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.
4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.
4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.
n = 6 is the solution to the equation so it is equivalent.
You roll a die. Find the probability that you roll an even number or a number less than 5.
Answer:
4/6
Step-by-step explanation:
Combine like terms to create an expression equivalent to: n +n + n + y + y
Answer:
[tex]3n+2y[/tex]
Step-by-step explanation:
LIKE TERMS: TERMS WHOSE VARIABLES AND EXPONENTS ARE THE SAME.
[tex](1)n+(1)n+(1)n+(1)y+(1)y[/tex]
When combining variables that do not have coefficients, there is always an invisible '1' in front of the variable.
[tex](1)n+(1)n+(1)n = 3n.[/tex]
[tex](1)y+(1)y=2y.[/tex]
[tex]3n+2y.[/tex]
Let u=ln(x) and v=ln(y). Write the expression below in terms of u and v
=======================================================
Work Shown:
We'll apply these log rules
[tex]\text{Log Rule 1: } \ \ \ \ln\left(\frac{x}{y}\right) = \ln(x) - \ln(y)\\\\[/tex]
[tex]\text{Log Rule 2: } \ \ \ \ln\left(x^y\right) = y\ln(x)\\\\[/tex]
These log rules can be used for logs of any base, and not just natural logs.
[tex]z = \ln\left(\frac{\sqrt{x}}{y}\right)\\\\z = \ln\left(\sqrt{x}\right)-\ln\left(y\right) \text{ ... Use log rule 1}\\\\z = \ln\left(x^{1/2}\right)-\ln\left(y\right)\\\\z = \frac{1}{2}\ln\left(x\right)-\ln\left(y\right) \text{ ... Use log rule 2}\\\\z = \frac{1}{2}u-v\\\\[/tex]
Therefore,
[tex]\ln\left(\frac{\sqrt{x}}{y}\right) = \frac{1}{2}u-v\\\\[/tex]
when [tex]u = \ln(x) \ \text{ and } \ v = \ln(y)\\\\[/tex]
20 POINTS!!!!!!!!!! what are two numbers that multiply to equal -13 but add to equal +7
Answer:
x = -1.525
y = 8.525
Step-by-step explanation:
xy = -13
x + y = 7
we can let 'y' equal 7-x and use substitution
x(7-x) = -13
7x - x² + 13 = 0
divide through by negative one to get a positive x²
x² - 7x - 13 = 0
use the quadratic formula to get:
x = -1.525
y = 8.525
What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation: