Answer: i think $3312 if im wrong then sorry
Step-by-step explanation:
Can someone help me with these questions and show work please and thank you
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
Help pls and explain how you got your answer pls!!!
Is this correct hehevdhegged
Answer:
b is the correct answer
Step-by-step explanation:
btw can i have brainliest please
Mary and Lewis each open a savings account at the same time. Mary invests $3,700 in an account yielding 3.2% simple interest, and Lewis invests $3,000 in an account yielding 5.9% simple interest. After fifteen years, who has the greater total amount of money, and how much greater is it?
a.
Lewis has $879 more than Mary.
b.
Lewis has $179 more than Mary.
c.
Mary has $776 more than Lewis.
d.
Mary has $345 more than Lewis.
Answer:
lewis has $179 more than mary
Lewis has the greater total amount of money than Mary by $879
Given the following data:
Mary's principal = $3,700Mary's interest = 3.2% = 0.032Lewis's principal = $3,000Lewis's interest = 5.9% = 0.059Time = 15 years.To determine who has the greater total amount of money and by how much greater is it:
The formula for simple interest.Mathematically, simple interest is given by the formula:
[tex]S.I = PRT[/tex]
Where:
S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.For Mary:[tex]S.I = 3700 \times 0.032 \times 15[/tex]
S.I = $1,776
For Lewis:[tex]S.I = 3000 \times 0.059 \times 15[/tex]
S.I = $2,655
Therefore, Lewis has the greater total amount of money.
Next, we would find the difference in their simple interest:
[tex]Difference = 2655-1776[/tex]
Difference = $879
Read more on simple interest here: https://brainly.com/question/24341207
Drag the values to the correct locations on the image. Not all values will be used.
Susan is conducting a survey about the electric bills of households in her city. From the electric company, she found that the population mean is
$98.75 with a standard deviation of $10.45. Susan has a sample size of 60.
Complete the equation that Susan can use to find the interval in which she can be 68% sure that the sample mean will lie.
98.75
109.2
88.3
7.75
60
10.45
C
+
r
Answer:
[tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex] = [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]
Step-by-step explanation:
x is the value of our population/sample mean. Given that it's 98.75, we substitute x for 98.75.
We follow this pattern for s and n, which are the standard deviation and sample size respectively, to fill out the rest of our equation. This means that s is 10.45 and n is 60
Since we know the formula is [tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex], we can input our new values.
This gives us our answer of [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]
TL;DR
I took the test and the answer was right
The interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]
where we had where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex] (assuming X is normally distributed).
What is the distribution of sample mean for large samples?Suppose X has has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], then, the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with mean equal to the mean of X, and standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]
Symbolically, we write it as:
[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]
(for large enough samples, n > 30)
For this case, we're specified that:
Population mean = [tex]\mu = $98.75[/tex] (dollars)Population standard deviation = [tex]\sigma = 10.45[/tex] (dollars)sample size = n = 60Then, the distribution of the sample mean is approximately normal distribution with mean $98.75 and standard deviation approximately [tex]10.45/\sqrt{60}[/tex]
Symbolically, we get:
[tex]X \sim N(98.75, 10.45/\sqrt{60})[/tex]
Then, using empirical rule, we find the limits for sample mean for which we're 68% sure that the sample mean will lie in that interval as one standard deviation (of the sample mean) away from its mean.
[tex]P\left( 98.75 - 10.45/\sqrt{60} < \overline{X} < 98.75 + 10.45/\sqrt{60}\right) \approx 68\%[/tex]
So, limits are:
[tex]98.75 \pm \dfrac{10.45}{\sqrt{60}}[/tex]
Thus, the interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))
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would this be a cone??
no that would NOT be a cone
That would not be a cone.
Find the point on the line 2x+6y+1=0 which is closest to the point (-5,-3)
Answer:
(-1.875, -1.625)
Step-by-step explanation:
We want to find the point on the equation 2*x + 6*y + 1 = 0 which is closest to the point (-5, -3)
Remember that the distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
First we can write our equation as a line in the slope intercept form:
y = -(2/6)*x - 1
Now we could minimize the equation:
D = √( (x - (-5))^2 + (y - (-3))^2) = √( (x + 5)^2 + (y + 3)^2)
D = √( ( x + 5)^2 + ( -(2/6)*x - 1 + 3) ^2)
Then we can minimize:
D^2 = (x + 5)^2 + ( -(2/6)*x + 2)^2
= x^2 + 10*x + 25 + (4/36)*x^2 - (8/6)*x + 4
= (1 + 4/36)*x^2 + (10 - 8/6)*x + 29
= (40/36)*x^2 + (52/6)*x + 29
This is a quadratic equation whose leading coefficient is positive, then the minimum of this equation is at the vertex.
The vertex is at the x-value such that (D^2)' = 0
Then:
(D^2)' = 2*(40/36)*x + (52/6)
This needs to be zero then:
0 = 2*(40/36)*x + (52/6)
-52/6 = (80/36)*x
(-52/6)*(36/80) = x
-1.875 = x
And the y-value when x = -1.875 is:
y = -(2/6)*-1.875 - 1
y = -1.625
Then the point on the line 2x+6y+1=0 that is closest to (-5,-3) is the point (-1.875, -1.625)
A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 60 feet. How long will it take to move from one end of the sidewalk to the other?
Answer:
Speed = distance / time
= 6/3 =2 ft/sec
Time = distance / speed
= 60/2
= 30 seconds
How to do this here
Answer:
Step-by-step explanation:
25 POINTS!!!!!!!!!!!
I WILL GIVE BRAINLEIST
I need the answers for
15.
16.
17
WILL GIVE BRAINLST
HAVE A GOOD DAY
Answer:
6.633249581 and I would say it's irrational
Step-by-step explanation:
:)
FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning
9514 1404 393
Answer:
Chun is correct
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
__
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
__
Chun's proportion correctly gives x=24.
Answer:
Step-by-step explanation:
Chun; by the Triangle Angle Bisector Theorem, the correct proportion is 58=15x.
You need 25 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?
Answer:
80 potatoes
Step-by-step explanation:
Carlotta has 2/3 of a bag of dog food. She gives her dog 2/9 of the bag at each feeding. How many times can she feed her dog with what is left in this bag of dog food?
A. 3
B. 4
C. 18
D. 27
Answer:
27
Step-by-step explanation:
Carlotta can feed 3 times her dog with leftover in this bag of dog food
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that Carlotta has 2/3 of a bag of dog food and She gives her dog 2/9 of the bag at each feeding.
The bag of dog food = 2/3
Let she feed her dog with leftover in this bag of dog food = X
Therefore, X = 2/3 × 9/2
X = 18 / 6
X = 3
Hence, Carlotta can feed 3 times her dog with leftover in this bag of dog food
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Nicole and all her co-workers wear blue
Answer:
that's a good color to wear
Step-by-step explanation:
:)
kennedy has 12 apple. togethe, she and Ariana have 42 apple. which diagram represents best represents the situation where A is the amount of apples that Ariana has?
Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....
Which value of x makes this equation true?
-8(x+5) = -3x - 7+ X-3
A. = 7 1/2
B. X=-5
c. X = 1 1/4
D. X= 12
Answer:
B: x = -5
Step-by-step explanation:
please help me please brainliest
Answer:19
Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.
Victoria is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Victoria spent $16 altogether on 6 games and rides. Graphically solve a system of equations in order to determine the number of games Victoria played, x,x, and the number of rides Victoria went on, yy.
Answer:
2 rides & 4 games
Step-by-step explanation:
2 rides=$8
4 games=$8
8+8=$16
Point (4,2), represents that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The number of games Victoria played, x, and the number of rides Victoria went on, y.
Each game costs $2 and each ride costs $4, so we can set up the following system of equations:
2x + 4y = 16
x + y = 6
To graphically solve this system of equations, we can plot the equations on the same coordinate plane and find the point where they intersect. This point will represent the values of x and y that satisfy both equations.
To plot the equations, we can first graph the equation 2x + 4y = 16.
The slope is 2 and the y-intercept is 4, so we can plot the line by starting at the point (0,4) and moving 2 units up and 1 unit to the right to find the next point on the line.
We can then connect this point to the first point with a straight line to complete the graph of the equation.
Next, we can graph the equation x + y = 6 similarly.
The point will represent the values of x and y that satisfy both equations.
In this case, we can see that the lines intersect at point (4,2), which means that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).
Learn more about the graphs here:
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Find the value of the variable 7x + 19 11x -89 60°
Step-by-step explanation:
let third angle be x
60° + 60° + x = 180° (Δ sum property)
x = 60°
so, this is a equilateral triangle (all Δ equal)
-----------------------------------------in equilateral triangle --> all sides are equal
so, therefore =>>
7x + 19 = 11x - 89
19 + 89 = 11x - 7x
108 = 4x
108 ÷ 4 = x
27 = x
x = 27-----------------------------------------so variable
1.) 7x + 19
= 7(27) + 19
= 189 + 19
= 208
2.) 11x - 89
= 11(27) - 89
= 297 - 89
= 208
9x-6y=-12 and -2x+3y=-4 by elimination
Answer:
x = 4, y = 4 or you can say (4, 4)
Find the following F distribution values from Table 4 of Appendix B.
Given Angle TOP equals 38 degrees, QOR equals 82 degrees and angle SOR equals 98 degrees, find the measure of QOT
Answer:
98 since vertical angels have same angles
Step-by-step explanation:
what two consecutive whole numbers that 12 lie between
What does slope measure? it doesnt count for any points but if i don't answer this correctly my math teacher will not leave me alone.
Answer:
the slope of the line shows the rate of change of y relative to x
Answer:
Step-by-step explanation:
Slope, m, is a measure of the rate of change which is constant for linear equations. Mathematically it is defined as
m=(y2-y1)/(x2-x1)
Again for linear equations this is a constant value which tells you how much y, the dependent variable, increases/decreases with respect to the change in the independent variable x.
Christy is painting pinwheels to sell at a fair. It takes her 1.5 hours to paint each pinwheel. How many pinwheels will she be able to paint in 13.5 hours?
Answer: 9 hours
Step-by-step explanation:
13.5 hours / 1.5 hours = 9 hours
Please help I'll give brainliest! And 100 points this is due tonight!!!
Answer:
You can try searching it up or going to math.way
Step-by-step explanation:
Guys please help me out ASAP, Due today. I
In an arithmetic sequence Sn = n² - 2n.
Use your formula in 2c to determine the value of
(a) T7 =
(b) Tn=
The formula in 2c : Sn - Sn-1 =Tn
Answer:
[tex]T_7 = 11[/tex]
[tex]T_n = 2n- 3[/tex]
Step-by-step explanation:
Given
[tex]S_n = n^2 -2n[/tex]
[tex]T_n = S_n - S_{n-1}[/tex]
Solving (a): T7
Substitute 7 for n in [tex]T_n = S_n - S_{n-1}[/tex]
[tex]T_7 = S_7 - S_{7-1}[/tex]
[tex]T_7 = S_7 - S_6[/tex]
Calculate S7 and S6
[tex]S_n = n^2 -2n[/tex]
[tex]S_7 = 7^2 - 2 * 7 = 35[/tex]
[tex]S_6 = 6^2 - 2 * 6 = 24[/tex]
So:
[tex]T_7 = 35 -24[/tex]
[tex]T_7 = 11[/tex]
Solving (b): Tn
[tex]T_n = S_n - S_{n-1}[/tex]
Where [tex]S_n = n^2 -2n[/tex]
Calculate[tex]S_{n-1}[/tex]
We have:
[tex]S_{n-1} =(n-1)^2 - 2(n-1)[/tex]
Open brackets
[tex]S_{n-1} = n^2 -2n + 1 -2n +2[/tex]
[tex]S_{n-1} = n^2 -2n-2n + 1 +2[/tex]
[tex]S_{n-1} = n^2 -4n + 3[/tex]
So:
[tex]T_n = S_n - S_{n-1}[/tex]
[tex]T_n = n^2 - 2n - (n^2 -4n + 3)[/tex]
[tex]T_n = n^2 - 2n - n^2 +4n - 3[/tex]
Collect Like Terms
[tex]T_n = n^2 - n^2- 2n +4n - 3[/tex]
[tex]T_n = 2n- 3[/tex]
Given AFGH ~ ALMN, select all the statements that are true.
Answer:
1st, 3rd, and 4th options are true
Step-by-step explanation:
6 triangles and 10 squares what is the simplest ratio of triangles to squares?
Answer:
3:5
Step-by-step explanation:
To find the simplest ratio, divide each number by 2:
6/2
= 3
10/2
= 5
So, the simplest ratio of triangles to squares is 3:5