9514 1404 393
Answer:
363
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
Here, the first term (a1) is -92, and the common difference is (-85 -(-92)) = 7. The 66th term is ...
a66 = -92 +7(66 -1) = -92 +455
a66 = 363
What is the value of 2|2-9|-3(4+2)?
A. -32
B. -26
C. -15
D. -5
E. -4
Which equation in standard form has a graph
that passes through the point (-4, -3) and has
a slope of 5?
Hi, this question is in calculus. I am trying to write an equation in slope-intercept form about data usage that increase in 32.5 million every 4 years.
Answer:
we have an increase of 32.5 million every 4 years.
Then the increase per year is:
32.5 mill/4y = 8.125 million per year.
then if we define the variable x, as the number of years, we can write the linear equation as:
y = x*8.125 million/year + b
where b is the initial amount, that is not shown in the question, so i will just leave it like that.
You can see that when we have x = 4 years we have:
y(4 years) = (4 years)*(8.125 million/year) + b = 32.5 million + b.
Then after 4 years, we have an increase of 32.5 million, that is the thing we knew at the beginning.
The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b1 and b2 are the bases of the trapezoid, and H is the height of the trapezoid.
A=b1+b2/2•h
Rewrite the formula to find the base b2
Rewrite the formula for the base b₂ will be given as b₂ = 2A / h + b₁.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b₁ and b₂ are the bases of the trapezoid, and H is the height of the trapezoid.
Then the area of the trapezoid will be
A = [(b₁ + b₂) / 2] · h
Rewrite the formula to find the base b₂ will be given as,
A = [(b₁ + b₂) / 2] · h
2A / h = b₁ + b₂
b₂ = 2A / h + b₁
More about the trapezium link is given below.
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please please please. i’ll give brainleist to the first REAL answer. this is spot checked so it just has to make sense.
:))))))))))))))))))))))))))))
Answer: Ok, since there is only a point and you want it in standard form, which I am guessing you mean linear equation in standard form, the answer will be 3y-4x=c. If you need it in point-slope form, then it's y-3=x+4. There is no slope given, so yeah...
Step-by-step explanation:
Leticia has two bouquets of flowers.Each bouquet contains 13 daisies.
• Bouquet S contains 30 flowers
.• Bouquet T contains 13 flowers
Which statement is true?
A)The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T
B)The probability of randomly selecting a daisy from Bouquet S is 1
C) The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
D)The probability of randomly selecting a daisy from Bouquet S is 3.
SHOW WORK!!!!
Answer:
Step-by-step explanation:
A
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.
Both bouquets have the same type of flower (daisies) and Leticia has the same number of daisies in each bouquet (13).
Therefore,
The probability of randomly selecting a daisy from Bouquet S is the same as the probability of randomly selecting a daisy from Bouquet T.
Which is 1/13.
(since there are 13 daisies in each bouquet and we assume that each daisy is equally likely to be selected).
Thus,
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
Learn more about probability here:
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Describe and correct the error a student made finding the intercepts of the graph of the line 4x-6y=12
(PLEASE HELP)
Answer:the error is when 6y=12
Step-by-step explanation:
the original problem says 4x-6y=12
so when you get rid of the 4x, it should still be -6y not positive
The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given the equation is 4x-6y=12.
4x-6y=12
4 x 0 -66y = 12
-6y = 12
y =-2
4x-6y=12
4x - 6 x 0 = 12
4x = 12
x = 3
Therefore, the error is when 6y = 12 it will be -6y = 12, and the intercept would be -2.
To know more about an equation of the line follow
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Line v has a slope of –8/7. Line W is perpendicular to V. What is the slope of line w?
Answer:
[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
The slope of a perpendicular line is opposite and reciprocal to the original slope. Flip the fraction and change the sign, and you're all set!
Simplify 2^-5
Please and thank you
Work out the area of the rectangle.
Answer:
12544cm2
Step-by-step explanation:
if the the circles touch each other, the length is to be gotten by
a) getting the diameter.
- as the radius is 28cm, the diameter of each circle is 56cm.
- 2 circles are connected enabling us to form a horizontal line with the length of 112cm.
b) inside the triangle
- looking keenly you can see three dots at the center of each circle forming a triangle. as we know each circle is connected to 2 others. so the distance from one radius to the other forms a diameter.
-connect the dots, radii from 1 circle to the other, and assign them their measurements,. remember that they lines act as diameters
c) properties of a triangle
-forming that, you will notice that all sides are equal making it an equilateral triangle and equilateral triangles are only able to fit inside parallelograms whose sides are ALL EQUAL.
- got the trick! now we know that all the sides are equal and one side is of the rectangle is 112cm, automatically all sides become 112cm.
d) area
-area will be
S x S
112 x 112
=12544cm2
A salesclerk gets a 7% commission on the sale of each computer. What is her commission on the sale of a computer that sells for $495?
A-$460.35
B-$34.65
C-$70
D-$346.50
The answer is would be B.
Select the correct answer. A band is planning a concert at a local theater. The graph below shows the ticket sales per hour. What is the slope of the line shown in the graph? A. -400 B. -250 C. -2,000 D. -1,500
Answer:
A. -400
Step-by-step explanation:
We can use the slope-intercept formula, which is (y2-y1)/(x2-x1)If we choose (0,4000) and (10,0), we can plug this into our formula.This will be (4000-0)/(0-10).Simplifying this, this is -400.Therefore, the slope of the line shown in the graph is -400.Answer:
-400
Step-by-step explanation:
took the test
Mari has a part time job. She earns $6 an hour. She makes at most $207.00 a week. What is the greatest number of hours that she works?
Answer:
If Mary earns 7$ an hour, we need to multiplicate 7$ by the number of hours worked for the entire week so we can get the salary per week.
Step-by-step explanation:
it's correct
Please help me ASAP!!
A model is made of a car. The car is 8 feet long and the model is 10 inches long. What is the ratio of the length of the car to the length of the model?
A) 10 : 8
B) 8 : 10
C) 48 : 5
D) 5 : 48
Answer:
C) 48:5
Step-by-step explanation:
8 feet is 96 inches. It would be a 96:10 ratio, or simplified, a 48:5 ratio
A truck can be rented from Company A for $130 a day plus 50.30 per mile. Company B charges 570 a day plus 50.70 per mile to rent the same truck. Find the
number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
Not possible
Step-by-step explanation:
You use the formula y = mx + b to make equations for both situations then solve from there
Let x be miles driven
Company A:
y = 50.30x + 130
Company B:
y = 50.70x + 570
You solve by making the equations equal each other to figure out the variable (miles driven)
50.70x + 570 = 50.30x + 130
50.70x + 570 - 50.30x + 130 - 50.30x
0.4x + 570 - 570 = 130 - 570
0.4x = -440
x = -1100
Therefore there is no amount of miles you can drive for Company A and Company B to have the same rental costs
How can you find the sum of integers with the same sign? A add their absolute values and keep the sign of the integers B subtract their absolute values and keep the sign of the integer with the greater absolute value C subtract their absolute values and keep the sign of the integers with the smaller absolute value D add their absolute values and always add a negative sign to the sum
Answer:
Add their absolute values and keep the sign of the integers
Step-by-step explanation:
The problem can be understood with the help of an example.
Let the first number be 2 and other number be 3. If we want to add these numbers, it will be like :
Sum = 2 + 3 = 5
We can see that when we add these two numbers, we find that we add their absolute values while the sign of the integers are same.
So, if we want to find the sum of integers with the same sign, we have to add their absolute values and keep the sign of the integers.
Hence, the correct option is (a).
the sum of two consecutive even intergers is 106. what are the intergers?
Answer:
52 and 54
Step-by-step explanation:
These two numbers are consecutive, and 52+54=106.
=====================================================
Work Shown:
x = some even integer
x+2 = next even integer after x
x+(x+2) = 2x+2 = sum of the consecutive even integers
2x+2 = 106
2x = 106-2
2x = 104
x = 104/2
x = 52
x+2 = 52+2 = 54
The two consecutive even integers are 52 and 54
Check: 52+54 = 106
PLEASEEE HELP ANSWER THESE TWO WITH REASONABLE ANSWERS AND I WILL GIVE BRANLIEST!
Answer:
a.1,8
2,7
0,9
3,6
4,5
5,4
Write the equation of the line that goes through the point (1,-7) and m=3.
Answer:
y = 3x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , thus
y = 3x + c ← is the partial equation
To find c substitute (1, - 7) into the partial equation
- 7 = 3 + c ⇒ c = - 7 - 3 = - 10
y = 3x - 10 ← equation of line
Which set is a function? Giving out brainliest and 10 points!!
Answer:
B
Step-by-step explanation:
none of the domain is repeting
PLS help with the question in the picture !
Answer:21
Step-by-step explanation:just cuz trust me broski its right
m is directionly proptional to r squared
when r=2, m=14
A)work out the value of m when r is 12
b) work out the value or r when m is 224
9514 1404 393
Answer:
A) 504
B) 8
Step-by-step explanation:
The statement of proportionality can be written as the equation ...
m = kr²
Then we can find k from ...
k = m/r² = 14/2² = 7/2
That is, ...
m = (7/2)r²
__
Using this relation, we can find m for r=12:
m = (7/2)·12² = 7·72
m = 504 . . . for r = 12
__
And, we can use the same equation to solve for r when m=224.
224 = 7/2·r²
r² = 64
r = √64
r = 8 . . . for m = 224
X + 3y= 15
2x- 2y = 6
Answer:
What do u want? Do u want the solution?
Step-by-step explanation:
I cant help without the question... :(
Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST
Answer:
45000
Step-by-step explanation:
Jk it's wrong lol
(15 POINTS!)
The slope of the line passing through the points (7, 5) and (21, 15) is
5/7
7/5
5
7
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point
3, 5
3, 7
21, 5
21, 7
Answer:
1) 5/7
2) (21, 5)
Step-by-step explanation:
1) The slope of the line passing through the points (7, 5) and (21, 15) is
[tex]\frac{15-5}{21-7} =\frac{10}{14}=\frac{5}{7}[/tex]
because slope is (difference of y)/(difference of x)
the first option is correct
2) 1/3 of 5/7 is 5/21.
The line will be in the form of
y = 5/21 x + b where b is the y-intercept.
Find the complete equation by plugging in (0,0) since it passes thorugh the origin.
0 = 5/21 (0) +b
0=0+b
b=0
The equation: y=5/21 x
let's check each option by plugging in.
y= 5/21 (3)= 5/7
y is not 5 but 5/7
y= 5/21 (3)= 5/7
y is not 7 but 5/7
y= 5/21 (21) = 5
y is 5, which matches with the answer choice!!!
y= 5/21 (21) = 5
y is 5, not 7.
The third option is correct
6 is less than a number k is greater than 13
Answer:
6 < k > 13
Step-by-step explanation:
Katie's swim team is having an end of season plaza party. When the party started, there were 50 slices of pizza. Now there are 20 slices left. Which of the
following show(s) how much of the plaza has been eaten?
Answer: B-20/50
Step-by-step explanation:
Work for E and F- 20/50=20X2=40 40 divided by 100 is 40%
50X2=100 and 40/100
HELPPPPPPPP PLSSSS I HAVE 30 BEFORE THIS IS DUE
A.) y=5/2x + 4
B.) y=-5/2x + 4
C.) y=2/5x + 4
D.) y=-2/5x + 4
Answer:
The line equation in slope-intercept form is:
[tex]y\:=-\frac{2}{5}x+4[/tex]
Hence, option D is true.
Step-by-step explanation:
Given the points
(0, 4)(5, 2)Finding the slope between the points
[tex]\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2-4}{5-0}[/tex]
[tex]m=-\frac{2}{5}[/tex]
As the y-intercept is obtained by setting the value x = 0.
As we know that when x = 0, the vale of y-intercept y = 4
so the y-intercept is b = 4.
As the slope-intercept form is
substituting the slope m = -2/5 and the y-intercept b=4
[tex]y = mx+b[/tex]
[tex]y\:=-\frac{2}{5}x+4[/tex]
Therefore, the line equation in slope-intercept form is:
[tex]y\:=-\frac{2}{5}x+4[/tex]
Hence, option D is true.
a fish is 12 m below the surface of the ocean what is the elevation of sea bird is 28 m above the surface of the ocean what is the elevation if the bird is directly above the fish how far apart are they
Answer:
40m???
Step-by-step explanation:
The equation y-4=-3(x+4) is written in point-slope form. What is the y-intercept of the line
Answer:
-8
Step-by-step explanation:
you need to rewrite it in y=mx+b form where b-is the y-intercept
y-4= -3(x+4)
distribute
y-4 = -3x-12
isolate y
y= -3x-8
compare this with the y=mx+b so y-intercept is -8
Answer:
(0,-8)
Step-by-step explanation: