The equation a = 100 + 75d represents Maria's account balance.
Step-by-step explanation:
Given that,
Maria opened a new savings account with an initial deposit of $100.She deposits $75 into this savings account every two-weeks.You need to find the equation to represent Maria's account balance, a after she has completed d deposits.
Let 'd' be the number of deposits Maria made after the initial deposit.Let 'a' be the total account balance after 'd' deposits.Therefore, the equation for the total account balance can be framed as the sum of the initial deposit and amount deposited after that.
To find the amount that was deposited after the initial deposit :
⇒ $75 × number of times Maria deposited.
⇒ 75 × d
The equation is written as,
⇒ a = 100 + 75d
Hence the equation a = 100 + 75d represents Maria's account balance.
A rectangle sandbox has an area of 64 square yards. What might be the perimeter of the sandbox?
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
If x = -5 and y = 3 x − 5, then y equals what number?
Answer:
-20
Step-by-step explanation:
Plug in -5 for x
Y=3(-5) -5
Y=-20
Hope this helped
:)
Answer:
-20
Step-by-step explanation:
y= 3x-5
y=3(-5)-5
y= -15-5
y= -20
6x+10>5x-12
Help needed
Answer:
x > -22
Step-by-step explanation:
6x+10>5x-12
Subtract 5x from each side
6x-5x+10>5x-5x-12
x+10 > -12
Subtract 10 from each side
x+10-10>-12-10
x > -22
Can you guys please help me
Answer:
9^2 +12^2 = m^2
81+144=m^2
225=m^2
m=15
The Pythagorean Theorem is a^2 + b^2 = c^2
In this case, your a is 9, your b is 12, and your c is m
Following the boxes:
9^2 + 12^2 = m^2
81 + 144 = m^2
225 = m^2
m = 15
For breakfast Jamie can choose from cereal, eggs, or a muffin. She also can drink coffee, orange juice, or milk. How many total outcomes are possible?
Jamie has 9 possible combinations for breakfast based on her choices of 3 different foods and 3 different drinks.
Explanation:The subject of the question is in the field of probability in mathematics. The question is asking for the total number of outcomes or combinations possible given Jamie's breakfast choices. Jamie can choose from 3 foods (cereal, eggs, muffin) and 3 drinks (coffee, orange juice, milk).
To find the total number of outcomes, you multiply the total number of options in each category. In this case, it would be 3 (food choices) multiplied by 3 (drink choices), which sets the total possible outcomes to be 9.
Therefore, Jamie has 9 possible combinations for her breakfast choice.
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A line that is parallel to y - x = 8 would have a slope of:
Answer:
1
Step-by-step explanation:
Rearrange y-x=8 to y=x+8
parallel lines have the same slope
so lines slope is 1
Please help solve this
Answer:
0.125
Step-by-step explanation:
Answer:
x = 1/8
Step-by-step explanation:
The first step is to make all of the denominators in the fractions the same. To do so, find what number multiplies by 4 to get to 8. This number is 2. Then, multiply that number to the numerator of the fraction you're going to change.
3/4 becomes 6/8.
The equation becomes 6/8 + x = 7/8.
Now, pay attention to the numerators. What number adds to 6 to get to 7? The answer is 1. Remember, the denominators must be the same, so the final answer is x = 1/8.
Which equation has no solution?
O
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
O
Answer:
5 + 2(3 + 2x) = x + 3(x + 1)
Use any method to solve the equation. If necessary, round to the nearest hundredth. 9x^2 = 17
Answer:
1.37
Step-by-step explanation:
First, we want to isolate the variable x. Do this by dividing both sides by 9:
[tex]\frac{9x^2}{9} =17/9[/tex]
[tex]x^{2} =17/9[/tex]
Now, square root both sides:
[tex]\sqrt{x^2}= \sqrt{17/9}[/tex]
x = [tex]\sqrt{17/9} =\sqrt{17}/3[/tex]
Finally, we can use a calculator to finish off the problem:
x = [tex]\sqrt{17}/3[/tex] ≈ 1.37
Hope this helps!
9x^2 = 17
Divide both sides by 9
X^2 = 17/9
Take the square root of both sides
X = sqrt(17/9) and -sqrt(17/9)
Simplify:
X = sqrt(17)/3 and -sqrt(17)/3
Help me please thank u
A youth director for a city's parks and recreations department is planning for next year's program. From a survey of city residents, the director knows that 35% of the population participate in the parks and recreations programs. For a random sample of 40 people, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Given Information:
Sample size = n = 40
sample proportion = p = 35% = 0.35
Required Information:
standard deviation of sample proportion = σ
Answer:
standard deviation of sample proportion = σ = 0.075
Step-by-step explanation:
Check if the condition np ≥ 10 or n(1 - p) ≥ 10 is satisfied
np ≥ 10
40*0.35 ≥ 10
14 ≥ 10 satisfied
n(1 - p) ≥ 10
40(1 - 0.35) ≥ 10
26 ≥ 10 satisfied
Which means that distribution of sample proportion will have a mean closer to the population proportion.
The standard deviation for sample proportion is given by
[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{0.35(1-0.35)}{40}}[/tex]
[tex]\sigma = 0.075[/tex]
Therefore, the standard deviation for the sampling distribution of the sample proportions is 0.075.
What is the endpoint formula given midpoint?
Answer:
B = 2M -A
Step-by-step explanation:
For given endpoint A and midpoint M, the other endpoint B can be found using the definition of the midpoint:
M = (A+B)/2
2M = A+B . . . . . multiply by 2
2M-A = B . . . . . subtract A
The second endpoint can be found by subtracting the given endpoint from twice the midpoint:
B = 2M -A
Steven ran for class president against Mandy. Steven Recieved 5 votes for every 3 votes that Mandy Recieved. Mandy Recieved 420 votes if all students voted only once how many students voted in the election
Answer:
700
Step-by-step explanation:
420×5=2100
2100÷3=700
Answer: 700
A square has an area of 16 square millimeters. What is the length of each side of the square?
Answer:
The length of each side of the square is 4 mm
Step-by-step explanation:
AS we can see that , it is said that it is as square so all sides of a square are equal
Area(A)= 16 square millimetres
Length (L) = ?
or
[tex]L^{2}[/tex] = Area
[tex]L^{2}[/tex] = 16
L = [tex]\sqrt{16}[/tex]
L =[tex]\sqrt 4^{2}[/tex]
Therefore L = 4 mm
Hope it will help :)
The expression 20,000(1.05)' represents the population of a town t years after 2005
Select the value from each drop-down menu that best completes the sentence.
The population of the town
by
• each year
Answer:
Step-by-step explanation:
The given expression represents exponential growth. The expression is written as
20,000(1.05)^t
Where
20000 represents the initial population of the town in 2005.
1.05 represents the rate at which the population is increasing each year after 2005. The actual growth rate is
0.05 × 100 = 5%
t represents the number of years after 2005
Therefore, the complete sentence would be
The population of the town is increasing by 5% each year.
NEED HELP ASAP! I WILL MARK YOU AS BRAINLIEST!
Answer:
3/8 is the probability
Step-by-step explanation:
Giovanna owns a farm. She is going to randomly select one animal to present at the state fair. She has 6 pigs, 7 chickens, and 10 cows. What is P (chicken)
Answer:
P(chicken) ≈ 0.3
Step-by-step explanation:
Giovanna will select one animal from 6 pigs or 7 chickens or 10 cows to present at the state fair. From the question, there are a total of 6 + 7 + 10 = 23 animals to choose from.
If she selects a chicken, then P(chicken) = 7/23 = 0.304
P(chicken) ≈ 0.3
Answer:
7/23 OR 0.304...826
Step-by-step explanation:
Please refer to the attached image for explanations
oliver turned a circular dial one degree if he turns the dial one degree 27 times, what is the measurement on the angle in degrees
Answer:
27 degrees.
Step-by-step explanation:
Please kindly check the attached file
Which prism is similar to a right rectangular prism with a length of 5.2 units, a width of 2 units, and a height of 3 units?
Answer:
The second rectangle on edg
Step-by-step explanation:
Answer: B.) (2nd choice)
h=1.5
w=1
l=2.6
Step-by-step explanation:
What is the radius of a hemisphere with a volume of 49037 ft", to the nearest tenth
of a foot?
Answer:
28.6 ft
Step-by-step explanation:
Given an hemisphere of volume [tex]49037 ft^3[/tex]
Volume of a Hemisphere of radius r [tex]=\frac{2}{3}\pi r^3[/tex]
Therefore:
[tex]\frac{2}{3}\pi r^3=49037 \\r^3=49037 X \frac{3}{2 \pi}\\r=\sqrt[3]{49037 X \frac{3}{2 \pi}} \\r=28.6\: foot[/tex]
The radius of the hemisphere is 28.6 foot to the nearest tenth.
Please answer this correctly
Answer:
approximately 18 or [tex]\sqrt{324}[/tex]
Step-by-step explanation:
please give me brainliest
A set of math tests is normally distributed
with a mean of 81 and a standard deviation
of 5. If Adam's z-score was -0.6 and Leah's
z-score was 2.2, how many points higher did
Leah score than Adam?
2.2-0.6=1.6
1.6*81=129.6
129.6/2=64.8
Answer: 64.8
The Leah score than Adam is, 64.8.
Definition of normal distribution:
A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.
Step by step:Adam had a z-score of -0.6 while Leah had a z-score of 2.2.
According, to the question:
[tex]2.2-0.6=1.6\\[/tex]
[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]
[tex]\frac{129.6}{2} \\64.8[/tex]
Hence, The Leah score than Adam score are 64.8.
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Given that the measure of ∠x is 30°, and the measure of ∠y is 60°, find the measure of ∠z.
Answer:
90°
Step-by-step explanation:
Since vertical angles are equal, ∠x is equal to its vertical angle. Since the total angles in a triangle are 180, and x + y = 90, then the angle supplementary to z = 180 - 90 = 90. To find z, it's just 180 - 90 = 90.
An airplane pilot jumps out of an airplane and has an initial velocity of 32 feet per second downwards. How long does it take to fall from 1000 feet to 760 feet before the parachute opens?
Answer:
3 seconds
Step-by-step explanation:
Downwards positive
a = 32
s = 1000 - 760 = 240
s = ut + ½at²
240 = 32t + 16t²
t² + 2t - 15 = 0
t² + 5t - 3t - 15 = 0
t(t + 5) - 3(t + 5) = 0
(t - 3)(t + 5) = 0
t = 3, -5
By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.
Explanation:The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],
where:
d is the distance fallen
v is the initial velocity
a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])
t is the time
In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).
Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.
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The radius of a circle is 3 km. what is the circle's area and what is the formula you have to use?
Answer:
Circle's area = 28,26 km
Formula = π r²
Step-by-step explanation:
[tex]circle's \: \: area = \pi \: {r}^{2} \\ circle's \: \: area = 3,14 \times {3}^{2} \\ circle's \: \: area = 28,26 \: km \\ circle's \: \: area = 28.260 \: m[/tex]
What’s the square root of 6
Answer:
2.44948974
Hope I could help.
Brainliest plz ;)
Find the difference.
(4m^2 - m+2) - (-3m^2+ 10m + 4) =(
7m^2 - 11m - 2
Step-by-step explanation:Distribute the negative.
4m^2 - m + 2 + 3m^2 - 10m - 4 = ?
Now, add the like terms.
4m^2 + 3m^2 = 7m^2
-m + (-10m) = -11m
2 + (-4) = -2
7m^2 - 11m - 2
Cindy asked to borrow Melinda's math book. Which sentence shows a correctly written response to Cindy's question?
Answer:
C
Step-by-step explanation:
Saige's spaceship traveled 588588588 kilometers (\text{km})(km)left parenthesis, start text, k, m, end text, right parenthesis in 606060 seconds (\text{s})(s)left parenthesis, start text, s, end text, right parenthesis.
Answer:
A is proportional
B and C are NOT proportional
Step-by-step explanation:
First, simplify 588 and 60:
588 divided by 6
60 divided by 6
= 98
10
Simplify them again by dividing them both by 2
= 49
5
Let's look at A:
441 and 45
Simplify by dividing by 9
= 49
5
It's pretty obvious that A is proportional because the simplified values are exactly the same.
Next, let's check B:
215 and 25
Simplify by dividing by 5
= 43
5
Now that its simplified you can compare
43 is smaller than 49
5 5
B is not proportional
Finally, let's check C:
649 and 110
Simplify by dividing by 11
= 51
10
Make 51 and 49 have the same denominator so we can compare them
10 5
51 can stay the same because 5 times 2 equals 10
10
49 times 2
5 times 2
= 98
10
Now that the denominators are the same we can compare
51 is much smaller than 98
10 10
Therefore, C is also not proportional.
Hope that helps :D
The velocity of Saige's spaceship is 9,809,809 km/s.
Explanation:Given that Saige's spaceship traveled 588,588,588 kilometers in 60 seconds, we can calculate the velocity of the spaceship by dividing the distance traveled by the time taken. Velocity = Distance / Time. Velocity = 588,588,588 km / 60 s = 9,809,809 km/s. Therefore, the velocity of Saige's spaceship is 9,809,809 km/s.
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Please help me Factor x2 − 4x + 5
Step-by-step explanation:
Look it's so simple once you learn it's very easy you have to multiply the 1 and 3rd digit so answer is 5 now you have to find the factors of 5 so
x2 - 4x + 5
x2 - 5x + x + 5
x (x - 5) +1 (x + 5)
(x - 5) (x + 1) are the factors but please recheck the question maybe there is a mistake in sign because my factors x + 5 and x - 5 this should be one sign either positive or negative