The distance between C and D is measured by counting the number of boxes seperating the.
There are 5 boxes between C and D; thereofore, the distnace between C and D is 5 miles.
can someone help me evaluate this f(x)=x²-4x the functions are -2 and 0.
Answer: f(-2)=12. f(0)=0
Step-by-step explanation:
f(-2)=(-2)^2-4(-2)
f(-2)=4-(-8)
f(-2)=4+8
f(-2)=12
f(0)=0^2-4(0)
f(0)=0-0
f(0)=0
I really need help on this one
Answer:
-3x+9y=-57
Substitute the x for 4
-3(4)+9y=-57
-12+9y=-57
Add +12
-12+9y=-57
+12 +12
9y=-45
Now divide the 9 to get y by itself
9y=-45
÷9 ÷9
y=-5
So the value of y is -5
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•Expert•
Brainly Community Contributor
need help..................
Answer:
The answer is D
Step-by-step explanation:
(4x6)^3
(24)^3=13,824
when you multiply 4^3 with 6^3 you get the same answer of 13,824
Answer:
Answer=D
Step-by-step explanation:
(for powers outside a bracket it splits in the numbers inside the bracket)
(4×6)^3
=(\(4^{3}\)×\(6^{3}\)) as in D
To proof
-if we multiply them first we will get 24 and that to the power of three will equal to 13824.
-if we did as in the answer so,
\(4^{3}\)×\(6^{3}\)
=64×216
=13824
they are equal to each other 13824=13824 so answer D is correct.
What is the measure of Angle C
A 42
B 48
C 90
D 180
Find the value of $10,000 in 10 years. The investment earns 8% for four years and then earns 4% for the remaining six years
Answer: After investing for 10 years at 8% interest
Step-by-step explanation: your $10,000 investment will have grown to $21,589 This calculator determines the future value of $10k invested for 10 years at a constant yield of 8.00% compounded annually
There are 3 circles and 6 triangles. What is the simplest ratio of circles to triangles?
Answer: 1:2
Step-by-step explanation:
3:6 divide both sides by common factor (3) ——> 1:2
Which of the following measurements is the most precise?
A.A 15.5 foot tall tree
B.An 84-year-old man
C.A gas price of $2.359 per gallon
Answer:
C.)
Step-by-step explanation:
C.) Because it states the exact decimals rather than just stating about $2.36. Also, the other options were not specific. Hope this helps!
find the ordered pair
The ordered pair that is a solution of the system is (-3, -3), the second option.
Which ordered pair is a solution of the system of inequalities?There are two ways of finding this.
You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.
Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.
Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).
We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)
So that point is the solution.
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Need answers please help
Answer
Yes, zero is contained in the interval
PLS HELP
On one day, the stock of Seraj Food Technologies went up by 30%. The next day, the stock fell by 30% Over the two days, the stock fell overall by "x" percent. What is "x"?
Answer:
9%
Step-by-step explanation:
Let the required number be 100.
Now, according to the question, the number is first increased by 30 %
⇒ 100 + 30 % of 100
⇒ 100 + [(30*100)/100]
⇒ 100 + 30
⇒ 130
Then, it is decreased by 30 %
⇒ 130 - (30 % of 130)
⇒ 130 - [(30*130)/100]
⇒ 130 - 39
⇒ 91
Net Decrease = 100 - 91
= 9
Percent Decrease = (Change in number*100)/100
⇒ (9*100)/100
= 9 %
The current population of a small city is 25000 people. Due to a loss of jobs, the population is decreasing by an average of 200 people per year. How many years (from now) will it take for the population to decrease to 23400 people?
A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use
x as your variable and use no commas in your equation.
It takes 8 years for the population to decrease to 23,400 people due to job losses.
In this scenario, we have a small city with a current population of 25,000 people. The city is experiencing a decrease in population by an average of 200 people per year due to job losses. We are asked to find out how many years it will take for the population to decrease to 23,400 people. To solve this problem, we will use algebraic equations with the variable "x" representing the number of years from now.
1. Initial population (current) = 25,000 people
2. Population decrease per year = 200 people
3. Target population = 23,400 people
To find the number of years required to reach the target population, we can set up an equation based on the population decrease per year:
Current Population - (Population decrease per year * Number of years) = Target Population
Using the given information, we can write the equation as follows:
25,000 - (200 * x) = 23,400
In this equation, "x" represents the number of years from now that we are trying to find. We need to solve for "x" to determine how many years it will take for the population to decrease to 23,400 people.
Now, let's solve for "x":
25,000 - (200 * x) = 23,400
To isolate "x," we need to perform algebraic operations to simplify the equation:
-200x = 23,400 - 25,000
-200x = -1,600
Next, divide both sides of the equation by -200 to solve for "x":
x = -1,600 / -200
x = 8
After solving for "x," we find that it takes 8 years for the population to decrease to 23,400 people due to job losses.
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There was 1.8 l of milk in a bottle. Peter drank 30% of the milk.
How much milk did he drink?
Answer:
0.54 ltres
Step-by-step explanation:
30/100 x 1.8 = 0.54 l
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Help Quickly! Use the table. Estimate the total deer population for year 8.
A. about 1,815 deer
B. about 2,467 deer
C. about 1,934 deer
D. about 2,081 deer
The total deer population for year 8 will be D. about 2081 deer.
How to determine the estimate of the deer populationTo calculate the total deer population, we use the mark-recapture formula where: N = M * C/R
M = Total number of deer population captured and marked
C = Total number of deer population that had or did not have a mark
R = Total deer population recaptured and marked
So, for the given problem, the figures are as follows:
M = 1608
C = 110
R = 85
N = 1608 * 85 = 176,880/85 = 2080.94
So, the estimated deer population is about 2081 deer.
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Is 6 a factor of 42x + 30y
3ab - 2a + 6ab + b - 4c
Answer: 9ab - s2 - 4c + b
Step-by-step explanation:
All that I can answer without context is that you need to add like terms, which were 3ab and 6ab; other than that, you should be good if that's the whole question.
7) The half-life of silicon-32 is 710 years. If 30 grams is present now, how much will be present in 200 years?
(Round your answer to three decimal places.)
Answer: Approximately 21.093 grams of silicon-32 will be present after 200 years.
Step-by-step explanation: The formula for the amount of substance remaining after a certain amount of time can be given by:
A = A0 (1/2)^(t/T)
where:
A0 = initial amount of substance
A = amount of substance remaining after time t
T = half-life
Plugging in the given values:
A0 = 30 grams
t = 200 years
T = 710 years
A = 30 * (1/2)^(200/710)
A ≈ 21.093 grams
Therefore, approximately 21.093 grams of silicon-32 will be present after 200 years.
If f(x) = 7x, which of the following is the inverse of f(x)?
O A. f'(X) = x + 7
B. f1(x) = x - 7
O c. f'(x)
O d. f'(X) = 7x
SUBMIT
Answer:
x/7
Step-by-step explanatio
Line r passes through points (10, 8) and (1, 4). Line s passes through points (10, 9) and (1,
5). Are line r and line s parallel or perpendicular?
Lines r and s have the same slope of 4/9, therefore, they are parallel.
What are Parallel and Perpendicular Lines?To determine if two lines are parallel or perpendicular, you can use the slope formula. If the slopes of the two lines are equal, the lines are parallel. If the product of the slopes of the two lines is -1, the lines are perpendicular.
The slope formula is: m = (y2 - y1) / (x2 - x1)
For line r:
m = (4 - 8) / (1 - 10) = -4 / -9 = 4/9
For line s:
m = (5 - 9) / (1 - 10) = -4 / -9 = 4/9
Since the slopes of the two lines are equal, they are parallel.
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2y = 4x - 12
Find the x and the y intercept of the line.
1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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Find all values of x in the interval [0, 2π] that satisfy the equation. 7 sin(2x) = 7 cos(x)
Answer:
x = {π/6, π/2, 5π/6, 3π/2}
Step-by-step explanation:
The equation can be solved using a double-angle trig identity and factoring.
SimplifyDividing the equation by 7 and substituting for sin(2x), we have ...
7sin(2x) = 7cos(x)
sin(2x) = cos(x)
2sin(x)cos(x) = cos(x)
2sin(x)cos(x) -cos(x) = 0
cos(x)(2sin(x) -1) = 0
Zero product ruleThe product of factors is zero when one or more of the factors is zero.
cos(x) = 0 ⇒ x = {π/2, 3π/2}
2sin(x) -1 = 0 ⇒ x = arcsin(1/2) = {π/6, 5π/6}
Solutions in the given interval are ...
x = {π/6, π/2, 5π/6, 3π/2}
__
Additional comment
When the equation is of the form f(x) = 0, then the x-intercepts of f(x) are its solutions. We can rearrange this one to ...
sin(2x) -cos(x) = 0
The solutions identified above match those shown in the graph.
Help
Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4
The equation that represents a quadratic relationship is y = 4x^2. Option A.
A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.
Let's analyze the given equations:
1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.
2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.
3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.
4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.
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Describe the shape of the data distribution and the location of the mean in relation to the median shown in the box-and-whisker plot below.
Answer:14
Step-by-step explanation: cookies
The data distribution is symmetric or moderately skewed, and the mean is likely close to the median (around 7).
We have,
From the box-and-whisker plots, we can find the shape of the distribution.
The form of the Data Distribution:
The data distribution appears to be somewhat symmetric or moderately skewed.
This conclusion can be made by considering the position of the median, lower quartile, and upper quartile.
The median (7) is located approximately in the center of the box, indicating that the data is somewhat balanced around this value.
Additionally, the lower quartile (5) and upper quartile (11) are equidistant from the median, suggesting a relatively symmetrical distribution.
From the box-and-whisker plots
Location of the Mean in Relation to the Median:
In a symmetric distribution, the mean and median are typically close to each other or approximately equal.
Since the median is given as 7, and we don't have the exact value of the mean, we cannot determine its precise location in relation to the median. However, it is reasonable to assume that the mean is likely to be close to the median (around 7) based on the assumption of a symmetric or moderately skewed distribution.
Thus,
The data distribution is symmetric or moderately skewed, and the mean is likely close to the median (around 7).
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Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
Answer:
25000
Step-by-step explanation:
In the year 2000, a house was valued at $60 000.
In 2010, the same house was valued at $80 000.
Work out the value of the house in 2010 as a percentage of it value in 2000
The percentage by which the cost is increasing will be 75%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The percentage of the 8th graders who want to go to the water slides is found from;
In the year 2000, a house was valued at $60 000.
In 2010, the same house was valued at $80 000.
The percentage value is found as;
\(\% = \frac{60000}{80000} \times 100 \\\\ \% =75 \%\)
Hence the percentage by which the cost is increasing will be 75%.
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True or False: 0/2=2/0
Answer:
it's true 0 divided by 2 is 0 and 2 divided by 0 is still 0
x=4 inches
y=10 inches
z=2 inches
Find the volume of the figure. Round to the hundredths place.
Answer:
i believe the answer is 142.42 in²
Step-by-step explanation:
what i did was 'separate' the cone and cylinder-
so the volume of cylinder formula is-
v=πr²h
and the volume for a cone is-
v=πr²h/3
now let us fill in the formulas with the information that we have-
v=π*2²*10=125.66
v=π*2²*4=16.76
now let us add the sums together-
125.66+16.76=142.42 in²
good luck :)
i hope this helps
**please let me know if this is incorrect/not what you're looking for or both**
have a nice day!
Two cars travel at the same speed to different destinations. Car A reaches its destination in 25 minutes. Car B reaches its destination in 35 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel?
Step-by-step explanation:
speed = distance / time
distance = speed × time
they both have the same speed.
distanceB = distanceA + 4
so,
distanceA = speed × 25 min
distanceB = distanceA + 4 = speed × 35 min
distanceA = speed × 35 - 4
both distanceA expressions must be equal :
speed × 25 = speed × 35 - 4
subtract 25speed from both sides
0 = speed × 10 - 4
add 4 to both sides
4 = speed×10 min
divide both sides by 10 min
4 miles / 10 min = speed
to get the usual miles per hour, we need to multiply numerator and denominator by the same number, so that the denominator is 1 hour = 60 minutes.
as we cab see, we need to multiply by 6/6 :
4/10 × 6/6 = 24/60 = 24 miles per hour.
Find the missing dimension of the prism.
Answer:
10
Step-by-step explanation:
To find volume you have to multiply all 3 sides 7*8*x=560 = 56*x=560 we divide it by 56 and get x=10