Answer:
20,10,4,0,-3,-30
Step-by-step explanation:
The population of Medford High School is
800 students and the population of
Westville High School is 1240 students.
The population of Medford High is
increasing at a rate of 30 students per
year, while the population of Westville
High is decreasing by 25 students per
year. In about how many years will the
population of the two schools be the
same?
Answer:
in 8 years each school will have about 1,040 students
Step-by-step explanation:
let 'x' = years
y = 30x + 800
y = -25x + 1240
30x + 800 = -25x + 1240
55x = 440
x = 8
Blueberries are 4.99 a pound. Jada buys p pounds of blueberries and pays c dollars
Answer:
Find out how much p pounds Jada bought of blueberries and find out how much she paid
Step-by-step explanation:
Need help l don’t understand could someone help me?
Answer:
first put the numbers and unknowns to different sides, as in 6x-3x= 14-5, now solve for x, 3x=9, divide each side by 3 to get the value of x, x=3
Step-by-step explanation:
I did it for you. (Step by step)
I hope this helps.
Jennifer went to a farm and bought tomatoes
for $2 per pound and garlic for $3 per pound.
If Jennifer spent $72 on tomatoes and garlic,
how many pounds can she buy if she buys
only garlic?
Answer:
24 pounds of garlic
Step-by-step explanation:
if she spends 3$ per pound, you divide 72 by 3. the answer to that is 24, so if she spends 72 dollars on only garlic, she can buy 24 pounds.
Jennifer can buy 24 pounds of garlic
we see here, that if she spends 3$ per pound, you divide 72 by 3.
The answer would be 24, so if she spends 72 dollars on only garlic,
she can buy 24 pounds.
What is a pound defined as?1: any of various units of mass and weight specifically: a unit now in general use among English-speaking peoples equal to 16 avoirdupois ounces or 7000 grains or 0.4536 kilogram — see Weights and Measures Table
2: the basic monetary unit of the United Kingdom.
What is a division example?In maths, a division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each
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PQ= RQ and PS= RS a=?
The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.
What are interior angles?In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.
Given:
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle a:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)
\(\angle\text{Q}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-60\)
\(\angle\text{R}=60^\circ\)
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)
\(\angle\text{S}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-90\)
\(\angle\text{R}=45^\circ\)
Step 4 - Now, the measure of angle a is calculated as:
\(\angle\text{a}=60-45\)
\(\angle\text{a}=15\)
The measure of angle a is 15 degrees.
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Solve to determine if the following expressions are equivalent: 8a - 4 + 2a and 6a + 4.
Answer:
NOPE
Step-by-step explanation:
8a-4+2a
10a-4 simplified
10a-4 and 6a+4, these do not match
The following expression, 8a - 4 + 2a and 6a + 4, are not equal.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given two expression 8a - 4 + 2a and 6a + 4.
Simplifying the first expression:
8a - 4 + 2a
=> 10a -4
That is not equal to the second expression 6a + 4.
therefore, the following expressions are not equivalent 8a - 4 + 2a and 6a + 4.
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2x + 9 = x + 12 What’s is the answer to this question
Which statement below is not possible as an alternative hypothesis in an analysis of variance?
a. µ1 ≠ µ2 ≠ µ3
b. µ1 = µ2 but µ3 is different
c. Each of these are possible alternative hypotheses.
d. µ1 = µ3 but µ2 is different
The statement that is not possible as an alternative hypothesis in an analysis of variance is: c. Each of these are possible alternative hypotheses. The correct option is c.
In an analysis of variance (ANOVA), the alternative hypothesis should make a specific claim about the differences between the means of the groups being compared.
Option c suggests that all of the given alternatives are possible, which is not true. Each alternative hypothesis should specify the relationship between the means of the groups being compared.
Option c is the correct answer.
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An object is propelled vertically upwand from the ground with an initial velocity of 88.2 m/s. The signed distance st of the object from the ground after f seconds is given by the position functions a)-4.9² +88.2 (a) What is the velocity of the object at time (7 (Express numbers in exact form. Use symbolic notation and fractions where needed.) z(x)= ma'l (b) When will the object reach its maximum height? (Usedocimal notation. Give an cxact answer) TH (c) What is the maximum height? (Use decimal notation. Give an exact answer) maximum beight (d) What the acceleration of the object at any time (Use decimal notation, Give an exact amor) 4(0) => (e) How long is the object in the air? (the decimal notation, Cive an exact answer) time in the air What is the velocity of the object upon impact with the ground? What is in speed (Use decimal notation. Givecxt answers) wacity spect P in What is the velocity of the object open impact with the ground? What is in p (the decimal nation. Give exact am) sport What is the tal se traveled by the object (Usedecimaltation Client)
(a) The velocity of the object at time t = 7 is 16.6 m/s.
(b) The object reaches its maximum height after 9 seconds.
(c) The maximum height reached by the object is 391.05 m.
(d) The acceleration of the object is equal to the acceleration due to gravity, g = -9.8 m/s^2.
(e) The object hits the ground with a speed of 79.8 m/s and is in the air for 18 seconds. The total distance traveled by the object is 391.05 m.
Explanation:
(a) To find this velocity, we can use the equation v(t) = u + g*t, where u is the initial velocity of the object and g is the acceleration due to gravity. Substituting the given values of u = 88.2 m/s, g = -9.8 m/s^2, and t = 7, we get:
v(7) = 88.2 + (-9.8)*(7) = 16.6 m/s
Therefore, the velocity of the object at time t = 7 is 16.6 m/s.
(b) The time taken to reach the maximum height is found by equating the velocity equation to zero and solving for t.
0 = u + g*t_max
Rearranging the equation, we find:
t_max = -u/g
Substituting the given values of u = 88.2 m/s and g = -9.8 m/s^2, we can calculate the time taken to reach the maximum height:
t_max = -88.2/(-9.8) = 9 seconds
Hence, the object will reach its maximum height after 9 seconds.
(c) The maximum height reached by the object can be calculated using the position equation:
s(t) = -4.9t^2 + ut
At the maximum height, the velocity of the object becomes zero, so we use the time t_max = 9 seconds:
s(t_max) = -4.9*(9)^2 + 88.2*(9) = 391.05 m
Therefore, the maximum height reached by the object is 391.05 m.
(d) The acceleration of the object is equal to the acceleration due to gravity, g = -9.8 m/s^2, at any time.
(e) The time taken by the object to hit the ground is found by solving the position equation for t when the object's height becomes zero. Using the velocity equation, we can determine the velocity at the time of impact. The total distance traveled is the absolute difference between the initial and maximum height.
To determine the time taken by the object to hit the ground, we solve the position equation for t when s(t) = 0:
-4.9t^2 + 88.2t = 0
Simplifying, we find:
t(88.2 - 4.9*t) = 0
The solutions are t = 0 or t = 88.2/4.9 = 18 seconds.
Thus, the object is in the air for 18 seconds. Using the velocity equation to find the velocity at t = 18:
v(18) = 88.2 + (-9.8)*(18) = -79.8 m/s
Therefore, the object hits the ground with a speed of 79.8 m/s.
The total distance traveled by the object is given by the absolute value of the difference between the initial height and maximum height:
d = |s(t_max) - s(0)| = |391.05 - 0| = 391.05 m
Therefore, the total distance traveled by the object is 391.05 m.
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6.652 rounded to the nearest tenth
Answer: 6.7
Step-by-step explanation:
PLZ HELP PLZ HELP WHATS THE ANSWER
Seven times the first number plus six times the second number equals 31.
- Three times the first number minus ten times the second number is 29.
WHAT ARE THE TWO NUMBERS
The first number will be \(\frac{11}{2}\) and the second number will be \(-\frac{5}{4}\).
Let the first number be x and the second number be y.
According to the question,
Since seven times the first number plus six times the second number equals 31. So,
\(7x+6y=31.......(1)\)
Similarly,Three times the first number minus ten times the second number is 29.So,
\(3x-10y=29.......(2)\)
Multiplying equation (1) by 3 and equation (2) by 7, we get
\(21x+18y=93\)
\(21x-70y=203\)
Now subtracting both the equations we get,
\(88y=-110\)
\(y=-\dfrac{110}{88}\)
\(y=-\dfrac{5}{4}\)
putting the value of x in equation (1) we get,
\(7x+6\times-\dfrac{5}{4} =31\)
\(7x-\dfrac{15}{2}=31\\\)
\(7x=31+\dfrac{15}{2}\)
\(7x=\dfrac{77}{2}\)
\(x=\dfrac{11}{2}\)
Hence the first number is \(\frac{11}{2}\) and the second number is \(-\frac{5}{4}\).
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Please help me with this homework
Fined the compound intrest $12000 10 years at the rate 12% per annum
Step-by-step explanation:
Total amount in the account will be
12, 000 * ( 1+ .12)^10
then subtract the initial deposit of 12 000 to find interest = $25270.18
A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the surface area of the sphere can be found by using the formula SA = 4πr^2. where r is the radius, what is the radius of the sphere, to the nearest cm?
Answer:
The radius of the sphere, to the nearest cm:
\(r\approx 20\) cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
The surface area of sphere A = 5024 cm²The radius of the sphere can be determined such as
\(A\:=\:4\pi r^2\)
\(r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}\)
Plug in Surface Area of sphere = 5024, π = 3.14 in the formula
\(\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:\)
\(r\approx 20\) cm
Therefore, the radius of the sphere, to the nearest cm:
\(r\approx 20\) cm
As part of his retirement strategy Winston plans to invest $600,000 in two different funds. He projects that the high-risk investments should return, over time, about 12% per year, while the low-risk investments should return about 4% per year. If he wants a supplemental income of$30,000 a year, how should he divide his investments?
Answer: Winston should invest $75,000 in the high-risk fund and $525,000 in the low-risk fund to achieve his retirement income goal.
Step-by-step explanation:
Let x be the amount of money invested in the high-risk fund, and y be the amount of money invested in the low-risk fund. We know that x + y = $600,000, since that is the total amount Winston plans to invest.
We also know that the high-risk investments should return 12% per year, and the low-risk investments should return 4% per year. Therefore, the total return on his investment will be:
0.12x + 0.04y
Winston wants a supplemental income of $30,000 per year. We can set up an equation for this as well:
0.12x + 0.04y = $30,000
We can use the equation x + y = $600,000 to solve for one of the variables in terms of the other. For example, we can solve for y as follows:
y = $600,000 - x
Substituting this expression for y into the equation for the total return, we get:
0.12x + 0.04($600,000 - x) = $30,000
Simplifying and solving for x, we get:
0.12x + $24,000 - 0.04x = $30,000
0.08x = $6,000
x = $75,000
Winston should invest $75,000 in the high-risk fund and $525,000 in the low-risk fund to achieve his retirement income goal.
Where does 1 1/2 go on a number line
Answer:
In the middle of 1 and 2
Step-by-step explanation:
1 1/2 is 1 and halfway to 2. Therefore it is the middle of 1 and 2.
The image of the number line is attached below, 1 1 / 2 can be written as 3 / 2 or 1.5.
What is a number line?
A number line is a visual depiction of numbers on a straight line in mathematics. A number line's numerals are arranged sequentially at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.
Given:
1 1 / 2
Solve the above-mixed fraction to improper fraction as shown below,
1 1 / 2 = (2 × 1 + 1) / 2
1 1 / 2 = (2 + 1) / 2
1 1 / 2 = 3 / 2
Convert into decimal form as shown below,
1 1 / 2 = 1.5
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pleaseeee helppp meee!!!
Answer:
x=800
Step-by-step explanation:
first you gonna take 3×x= 3x
then
3×200= 600
(3x+600)=3000
3x=3000-600
3x=2400
3x÷3=2400÷3
x=800
Find the seventh term of the geometric sequence from the given information. Express the term as an integer or simplified fraction.
a2 = -7 and r = 1/2
The seventh term of the geometric sequence is -7/32. The nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term
To find the seventh term of a geometric sequence, we can use the formula:
\(an = a1 * r^(n-1),\)
where an represents the nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term we want to find.
In this case, we are given a2 = -7 and r = 1/2.
Using the formula, we can find a1 by substituting n = 2:
a2 = a1 * (1/2)^(2-1).
We know that a2 = -7, so we can rewrite the equation:
-7 = a1 * (1/2)^1,
-7 = a1 * (1/2).
Now, let's solve for a1:
a1 = -7 * (2/1),
a1 = -14.
We have found that the first term, a1, is equal to -14.
Now, we can find the seventh term, a7, by substituting n = 7 into the formula:
a7 = (-14) * (1/2)^(7-1),
a7 = (-14) * (1/2)^6,
a7 = (-14) * (1/64),
a7 = -14/64,
a7 = -7/32.
Therefore, the seventh term of the geometric sequence is -7/32.
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United Bank offers a 15-year mortgage at an APR of 6.2%. Capitol Bank offers a 25-year mortgage at an APR of 6.5%. Marcy wants to borrow $120,000.
a. What would the monthly payment be from United Bank?
b. What would the total interest be from United Bank? Round to the nearest ten dollars.
c. What would the monthly payment be from Capitol Bank?
d. What would the total interest be from Capitol Bank? Round to the nearest ten dollars.
e. Which bank has the lower total interest, and by how much?
f. What is the difference in the monthly payments?
g. How many years of payments do you avoid if you decide to take out the shorter mortgage?
The ___ of an event is the ratio of occurrences to trials.
Answer:
Experimental probability
Your Welcome
Someone help me please :(
Answer:
ok, but i can't even see nothing, though ;-;
Make up an equation for a Quadratic function whose graph satisfies the given condition. Use
whatever form is most convenient.
Has a y-intercept at (0,8)
Answer: The equation of the quadratic function is y = ax^2 + 8, where a is any non-zero constant.
Step-by-step explanation: The general form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants. To find the equation of a quadratic function with a y-intercept at (0,8), we substitute x = 0 and y = 8 into the general equation to obtain:
8 = a(0)^2 + b(0) + c 8 = c
Therefore, c = 8, and the quadratic function is y = ax^2 + bx + 8.
Since we don't have any other condition to determine the values of a and b, any non-zero value of a can be chosen to satisfy the given condition. If a positive value is chosen for a, the graph of the function will open upwards, while choosing a negative value will make it open downwards. The value of b will alter the position of the vertex of the graph.
Hope this helps, and have great day!
Fifteen more than half a number is 0. Find the number.
Find the value:with steps please
-3/5 x 8/15 x 1/9 x -24/30
Answer:
Step-by-step explanation:
HELP WITH INEQUALITY PROBLEM PLEASE!!!
Answer:
A. s+7726>=12,600
Step-by-step explanation:
s is the number of steps left to reach her goal of at least 12,600 steps.
7726 is the number of steps already taken.
12,600 is her goal.
s+7726>=12,600
Hope this helps!
Please mark as brainliest if correct!
the probability of rolling six standard, six-sided dice and getting six distinct numbers is , what is the value of ?
To find the probability of rolling six standard, six-sided dice and getting six distinct numbers, we need to calculate the total number of possible outcomes and the number of outcomes that satisfy the given condition.
Total Number of Outcomes:
The total number of possible outcomes when rolling six dice is 6^6, which is 46,656. Each die has six possible outcomes (1, 2, 3, 4, 5, or 6), and there are six dice being rolled.
Number of Outcomes with Six Distinct Numbers:
To get six distinct numbers when rolling six dice, each number must be different from the others. We can choose any six numbers from 1 to 6, and there are 6! (6 factorial) ways to arrange them on the six dice.
This is because there are six choices for the first die, five choices for the second die (since we can't repeat the number on the first die), four choices for the third die, and so on, down to one choice for the sixth die. Therefore, the number of outcomes with six distinct numbers is:6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Probability of Getting Six Distinct Numbers:
To find the probability of rolling six standard, six-sided dice and getting six distinct numbers, we divide the number of outcomes with six distinct numbers by the total number of possible outcomes:
P(six distinct numbers) = number of outcomes with six distinct numbers / total number of outcomes
P(six distinct numbers) = 720 / 46,656
P(six distinct numbers) = 5 / 324
Therefore, the value of the probability is 5/324 or approximately 0.0154.
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When muiltplying two exponents, If the base numbers are DIFFERENT can u add the two exponents?
11/30 long division as a decimal
Answer:
0.36666666666
Step-by-step explanation:
and the six goes on forever so put a bar notation over it
Answer: 0.3667
Step-by-step explanation: Mark me brainliest if this helped please ! have a good day :)
HELP I NEED HELP ASAP
quick! A cone has a volume of 1356.48 cubic centimeters and a height of 16 centimeters. What is its radius?
Answer:
≈9
Step-by-step explanation:
V= πr^2(h/3)
1356.48= πr^2(16/3)
r= 8.99 or about 9