Find the sum of the arithmetic sequence
-10, -7, -4, -1, 2, 5, 8
how do i solve this??
You are given either the x value or the y value.
Replace the x or y in the equation and solve for the missing values.
-4x + 5y = 3
First you are given x = 0:
So you have -4(0) + 5y = 3
Simplify:
0 + 5y = 3
Divide both sides by 5:
y = 3/5
Next you have x = 1:
-4(1) + 5y = 3
Simplify:
-4 + 5y = 3
Add 4 to both sides:
5y = 7
Divide both sides by 5:
y = 7/5
Third you are given y = 3
-4x + 5(3) = 3
Simplify:
-4x +15 = 3
Subtract 15 from both sides:
-4x = -12
Divide both sides by -4:
x = 3
x represents a certain number. when the number is multiplied by 3 the result is the same as adding 34 to the number x
Answer:
Equation: 3x = x + 34Solved: x = 17Step-by-step explanation (how to solve):
Write an equation: 3x = x + 34Subtract x from each side, so it now looks like this: 2x = 34Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 17I hope this helps!
The value of x is 17
What is Linear equation?An equation between two variables that gives a straight line when plotted on a graph.
Given,
x represents a certain number
Number is multiplied by 3 = 3x
Adding 34 to the number = x+34
Given,
The number x is multiplied by 3 the result is the same as adding 34 to the number x
Therefore
3x = x+34
3x-x =34
2x =34
x = 17
Hence, the value of x is 17
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A certain psychological test measures empathy and emotional intelligence. The score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29. The score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.
Suppose we randomly select one senior student and one first-year student.
Calculate the mean of the difference D = S – F.
μD = 17.7482
μD = 19
μD = 44.6878
μD = 227
Answer: The answer is 19
Step-by-step explanation: EDGE2020
The mean of the difference D = S - F is 19, which is the correct option (B).
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
To calculate the mean of the difference D = S - F, we need to find the expected value of the difference between two random variables, one representing the scores of senior students and the other representing the scores of first-year students.
Here,
μS = 123
μF = 104
The mean of the difference is the difference of the means, so we have:
μD = μS - μF
μD = 123 - 104
μD = 19
Therefore, the mean of the difference D = S - F is 19.
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» Which shape is a parallelogram with 4 right angles?
Answer:
rectangle
Step-by-step explanation:
Answer: Rectangle
Step-by-step explanation: Hope this helps ! :)
On a map, two cities measure 5.2 inches apart. The scale of the map is 2in.16miles. What is the actual distance between the cities?
What are two different ways you could find the experimental probability of the event that martin does not draw a red marble?
Answer:
See Explanation
Step-by-step explanation:
Given [Missing Information]
[tex]Red = 12[/tex]
[tex]Blue = 10[/tex]
[tex]Green = 15[/tex]
[tex]Yellow = 13[/tex]
Way 1:
Add up the total marbles that are not red.
[tex]Not\ Red = Blue + Green + Yellow[/tex]
[tex]Not\ Red = 10 + 15 + 13[/tex]
[tex]Not\ Red = 38[/tex]
Divide by total marbles to get the probability;
[tex]Probability = \frac{Npt\ Red}{Total}[/tex]
[tex]Probability = \frac{38}{38 + 12}[/tex]
[tex]Probability = \frac{38}{50}[/tex]
[tex]Probability = 0.76[/tex]
Way 2:
Calculate the probability of choosing red
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{12}{50}[/tex]
[tex]P(Red) = 0.24[/tex]
Apply complement rule (i.e. subtract it from 1)
[tex]P(Not\ Red) = 1 - P(Red)[/tex]
[tex]P(Not\ Red) = 1 - 0.24[/tex]
[tex]P(Not\ Red) = 0.76[/tex]
Which quadrilaterals are considered parallelogram
Answer: Rectangle, Rhombus, Square
Step-by-step explanation:
I NEED HELP!!!!! ASAP!!!!!
Answer: 127 11/12
Step-by-step explanation:
1. 1/2 + 3/4 = 2/3
Change 1/2 by by multiplying by 2 to get a common denominator of fourths.
2/4 + 3/4 = 2/3?
5/4 = 2/3?
no
2. 5/8 - 1/4
Change 1/4 by by multiplying by 2 to get a common denominator of eighths.
5/8 - 2/8 = 3/8?
3/8 = 3/8 ?
yes
3/8 x 10 = 30/8
3. 4/5 +7/10 = 1 1/2
Change 4/5 by multiplying by 2 to get a common denominator tenths.
8/10 + 7/10 = 1 1/2?
15 /10 = 1 1/2?
yes
1 1/2 x 10 = 25
4. 2 1/3 - 1 5/6 = 1/6
Change 1/3 by multiplying by 2 to get a common denominator sixths.
2 2/6 - 1 5/6 = 1/6?
3/6 = 1/6
no
100 -2/3 - 1/6 + 30/8 + 25
multiply the thirds by 8. Sixths by 4. Eighths by 3 to get a common denomonator of 24ths.
100 - 16/24 - 4/24 + 90/ 24 + 25 = 125 70/24
create mixed number
127 22/24
reduce
127 11/12
A hot liquid starts at 93 degrees F. Its temperature decreases at a
constant rate of 9% per minute after it has been placed in a refrigerator.
To the nearest degree, what is the temperature of the liquid after cooling
for 7 minutes? *
Answer:
34.41º
Step-by-step explanation:
0.93 times 9=8.37 degrees per minute
7 times 8.37=58.59
93-58.59=34.41
What is the factored form?
Answer:
(b − 10)(b^2 + 10b + 100)
Step-by-step explanation:
write 3450 in scientific notation form. b) write 234 x 10^16 in standard form. c) Population of kuwait is 2.4million. It is 4/5 population of Hong Kong. Calculate the population of kuwiat as percentage of Hong kong population.
Answer:
a; 3.45 * 10^3
b) 2.34 * 10^18
c) 80%
Step-by-step explanation:
a) 3450 in standard form
To write in standard form, we have to place a decimal at the back of the first non-zero number
we have this as ;
3.450
The count of numbers after the decimal point is 3
This will be the power to which 10 will be raised
We have this as;
3.45 * 10^3
b) 234 * 10^16
Let us write 234 in standard form
That will be;
234 = 2.34 * 10^2
So we have ;
2.34 * 10^2 * 10^16
Using the law of indices, we have;
2.34 * 10^(2 + 16) = 2.34 * 10^18
c) From the question, Kuwait is 4/5 of Hong kong’s population
Let Honk Kong’s population be x
4/5 * x = 2.4 million
4x = 5 * 2.4 million
x = 5 * 2.4/4
x = 5 * 0.6
x = 3 million
so writing the population of Kuwait as a percentage of that of Hong kong, we have
2.4/3 * 100%
= 0.8 * 100% = 80%
Matthew is going to shop rite with $15.He brought a package of croissants for $1.99.The cost of a box of Digiorno pizza is $4.00. What is the maximum number of digiorno pizzas can he buy?
Answer:
he would only be able to buy 2 boxes of pizza
Step-by-step explanation:
Subtract $1.99 from the $15 he has.
$15 - $1.99 = $13.01
Divide $13.01 by $4.00
$13.01/$4.00 = 3.25
There is a decimal in the final answer which means its not a whole pizza. So, the max he would be able to buy is 2 bokes of pizza
Mrs. Johnson measured 3 rectangular rooms that she wants to tile. What is the total area of the rooms?
Answer:
Find the area of each room and add the areas
Step-by-step explanation:
Please find the full question in the attached image
the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together
for example ,
dimension of room 1 = 5 x 3
dimension of room 2 = 2 x 3
dimension of room 3 = 4 x 5
area of room 1 = 15
area of room 2 = 6
area of room 3 = 20
total area = 15 + 6 + 20 = 41
A motorist drives 146km at a certain speed. She then increase this speed of by 19km/hr and take the same time to travel the next 16km. Find her speed for both part of the journey. Pleaseeeeeeeeeeee helpppppppppppp
Step-by-step explanation:
A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km.
find her speeds for both parts of the journey.
:
let s = his original speed
then
(s+9) = the increased speed
:
Write a time equation; time = dist/speed
146%2Fs = 164%2F%28%28s%2B9%29%29
cross multiply
164s = 146(s+9)
164s = 146s + 1314
164s - 146s = 1314
18s = 1314
s = 1314/18
s = 73 km/h is his original speed
:
What is |-26|?
(a) -26,
(b) 26,
(c) 0,
(d) 1
Answer:
(b)26
Step-by-step explanation:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
The price per night for a hotel room is different at three different hotels. Hotel Nights Price (in dollars) A AA 3 33 192 192192 B BB 5 55 300 300300 C CC 7 77 455 455455
Answer:
Hotel B is the least expensive
Step-by-step explanation:
Given
See attachment for clear details
Required
The least expensive
To do this, we simply divide the total cost by the number of nights to get the unit price
i.e.
[tex]Unit = \frac{Price}{Nights}[/tex]
Hotel A
[tex]Nights = 3\\Price= 192[/tex]
[tex]Unit = \frac{192}{3}[/tex]
[tex]Unit = \$64[/tex] per night
Hotel B
[tex]Nights = 5\\Price= 300[/tex]
[tex]Unit = \frac{300}{5}[/tex]
[tex]Unit = \$60[/tex] per night
Hotel C
[tex]Nights = 7\\Price= 455[/tex]
[tex]Unit = \frac{455}{7}[/tex]
[tex]Unit = \$65[/tex] per night
From the calculations above;
Hotel B is the least expensive because 60 is less than 64 and 65
Please help thank you :)))
Answer:
x = 25.46
Step-by-step explanation:
[tex]x^2+9^2=27^2\\x^2+81=729\\x^2=648\\\sqrt{x^2} =\sqrt{648} \\x=25.46[/tex]
-2 [4 - 3x] + 5x - 2
Step-by-step explanation:
Given
-2 [4 - 3x] + 5x - 2
= - 8 + 6x + 5x - 2
= 11x - 10
Hope it will help :)❤
Answer:
11x-10
Step-by-step explanation:
-8+6x+5x-2
11x-10
help will be very appreciated :)
Answer:
1,3,4, and 7 will all have 42 degrees and 2,5,6 will have angles of 138 degrees
Step-by-step explanation:
since one side of a circle is always 180 degrees, you would need to subtract 180 from 138, which would give you 42 degrees, and because every angle corolates with another angle in this situation it would mean any that are in the same place either in the first or second set of angles would be the same as the other.
The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=−3.
x=−4, y=−6
The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=−3.
x=−4, y=−6
Answer:
xy-3x=40, x=5
x(y-3)=40
y-3=(40/x)
y=(40/x)+3
y=(40/5)+3
y=8+3
y=11
If the variables x and y vary inversely then when x=-3 and y =-8
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Since x and y vary inversely, we can write the equation:
x y = k, where k is a constant of variation.
Using the given values, we can find k:
(-4)(-6) = k
k = 24
So the equation relating x and y is:
x y = 24
To find y when x = -3, we substitute x = -3 into the equation and solve for y:
(-3) y = 24
y = -8
Therefore, when x = -3, y = -8.
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What is the solution set of the equation x2 + 3x - 4 = 6?
A.
{-5, 2}
B.
{-2, -1}
C.
{2, 7}
D.
(5, 10)
All exponential functions can be written in many forms. Write the function f(t)=110(1.35)^{\frac{t}{40}}f(t)=110(1.35) 40 t in the form f(t)=ae^{kt}f(t)=ae kt . Round all coefficients to four decimal places.
Step-by-step explanation:
Given - f(t)=110(1.35)^{\frac{t}{40}}
To find - Write the function in the form f(t)=ae^{kt}. Round all coefficients
to four decimal places.
Proof -
Given that , the function is f(t)=110(1.35)^{\frac{t}{40}}
Now,
We can write it in the form of [tex]f(t) = 110(1.35)^{\frac{t}{40} }[/tex]
By comparing with the form [tex]f(t) = ae^{kt}[/tex] , we get
a = 110.0000
k = [tex]\frac{1}{40}[/tex] = 0.0250
EXTRA POINTS :) what is the value of x??
Answer:
x = 17
Step-by-step explanation:
corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so
6x + 8 + 4x + 2 = 180° then combine like terms ( 6x and 4x, 8 and 2 )
10x + 10 = 180 subtract 10 from both sides
-10 -10
10x = 170 divide each side by 10
/10 /10
x = 17
Rapid Rental Car charges a $55.00 rental fee plus $0.25 per mile driven. Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
A. Write an equation that can be used to find the number of miles for which the rental cost at both companies would be the same.
Answer:
100 miles
Step-by-step explanation:
Given data
let the number of miles driven be x
and the total charge for x miles be y
Hence the expression for the total charge is
Rapid Rental Car
charges a $55.00 rental fee plus $0.25 per mile driven.
y= 55+0.25x--------------1
Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
y= 45+0.35x--------------2
Equate 1 and 2
55+0.25x= 45+0.35x
collect like terms
55-45=0.35x-0.25x
10=0.1x
x= 10/0.1
x= 100 miles
Hence the mile is 100 miles
In the figure below, the vertices of triangle RST are on a circle.
8 in.
6 in.
s
• Line segment TS contains the center of the circle.
• The perimeter of triangle RST is 24 Inches.
What is the circle's radius?
8 inches, because d = 24 – 8 and 2 - 2 = r.
32 inches, because d = 24 – 8 and 2d=1
20 inches, because d = 24 - (8 + 6) and 2d =r
5 inches, because d = 24 - (8 + 6) and d - 2 =r
Answer:
I'm sorry for not answering but have you got the answer to this question
PLS HELP!! Find the product or type
“impossible"
[2 8 1 , 0 5 -2]
[5 2 1]
Answer:
Step-by-step explanation:
For the multiplication of two matrices, number of columns in 1st matrix should be equal to the number of rows of the 2nd matrix.
In the given question,
1st matrix → [tex]\begin{bmatrix}2 & 8 & 1\\ 0 & 5 & -2\end{bmatrix}[/tex]
Number of columns in this matrix = 3
2nd matrix → [5 2 1]
Number of rows in this matrix = 1
Therefore, number of columns in 1st matrix are not equal to the number of rows in the 2nd matrix.
Therefore, multiplication of matrices given in the picture is "Impossible".
Answer:
impossible
Step-by-step explanation:
accellus
At a local coffee shop, three coffees and two muffins cost a total of $7.00. Two coffees and four
muffins cost a total of $8.00. How much would six cups of coffee and 1 muffin cost?
Answer:
$10.25
Step-by-step explanation:
Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins
To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations
-6c - 4m = -14
2c + 4m = 8 notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6
so we have -4c = -6 so c = $1.50
To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so
4.5 + 2m = 7, 2m = 2.5, so m = $1.25
So now solve the final problem 6(1.50) + 1(1.25) = $10.25
Match each type of investment with its disadvantage.
T-bills
Property
A-rated bonds
Stocks
lesser return
arrowRight
higher risk
arrowRight
costly and time-consuming
arrowRight
no steady cash flow
arrowRight
Answer:
Lesser returns > T bills
Higher risks > A-rated bonds
Costly and time consuming > Property
No steady cash flow > stocks
Step-by-step explanation:
I just took the test
Please help;due today
Answer:
148 degrees
Step-by-step explanation:
360 - 74 - 138 = 148 degrees