Answer:
Step-by-step explanation:
a1 = 5
common difference = 2nd term - 1st term= 14 -5 = 9
n = 31
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]
Answer:
i took the tests and the answer is d
Can someone please answer this question?
Answer:
you answer would be A. I hope this helps
Step-by-step explanation:
Please answer the question stated below:
Find the linear equations written in standard form. Select all that apply.
x + y = -1
-3.x = y
x + 4y = 0
y = 5x - 2
x = 3 -0.17
8x – 3y = 20
Answer:
Step-by-step explanation:
A linear equation in "standard form" looks like Ax + By + C = 0, or
Ax + By = D
x + y = -1 : is in standard form: A = 1, B = 1 and D = -1
-3.x = y : NOT in standard form
x + 4y = 0 is in standard form
y = 5x - 2 NOT in standard form
x = 3 -0.17 NOT
8x – 3y = 20 is in standard form
Answer:
A. x + y = -1
C. x +4y = 0
F. 8x - 3y = 20
Step-by-step explanation:
Edge 2023
What is the equation of the line that is parallel to the given
line and passes through the point (-3, 2)?
3x - 4y = -17
O 3x - 4y = -20
4x + 3y = -2
O 4x + 3y = -6
Answer:
Step-by-step explanation:
is the given line 3x - 4y = -17?
then,
- 4y = -3x -17
y=(3/4)x+17/4
it is parallel, so slope of our line is 3/4 or 0.75
y=0.75x+b
next, lets plug in the given point to get the y-int
2=0.75*(-3)+b
2=-2.25+b
b-2.25=2
b=4.25
the equation is y=0.75x+4.25
does this clear anything, or am I off topic? please tell me I will help you
The equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]
Slope-intercept form of line :The given equation of line is,
[tex]3x-4y=-17\\\\4y=3x+17\\\\y=\frac{3}{4} x+\frac{17}{4}[/tex]
Compare above equation with [tex]y=mx+c[/tex]
Slope of given line [tex]m=\frac{3}{4}[/tex]
Since, the slope of all parallel lines are same.
So that, slope of required line is also [tex]\frac{3}{4}[/tex]
The equation of line is, [tex]y=\frac{3}{4}x+c\\[/tex]
Substitute point [tex](-3,2)[/tex] in above equation.
[tex]2=\frac{3}{4}(-3)+c\\\\\\c=2+\frac{9}{4} =\frac{17}{4}[/tex]
Substitute value of c in equation of line.
[tex]y=\frac{3}{4}x+\frac{17}{4} \\\\\\[/tex]
Thus, the equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]
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A train moves at a constant speed of 60 miles per hour for 2 hours. It stops for 30 minutes to allow for the herd of cows to cross. It resumes moving at 30 miles per hour for the remaining one hour until it reaches its destination. Write using only numbers separated by commas the amount of distance traveled by 0 hours, 2 hours, 2.5 hours, and 3.5 hours in that order. Example answer format: 1, 3, 5, 7, 9 1,3,5,7,9 Be consistent with your spacing. Either put a space after each comma or put no spacing at all.
Answer:
0 , 120 , 120 , 150
Step-by-step explanation:
Lets consider in step by step
For Time = 0 hours
At t= 0, the train has not moved from its initial spot. The amount of distance travelled by train is 0
For Time = 2 hours
The train is travelling at a constant speed of 60 miles per hour. As the train travels for 2 consecutive hours at the same speed without stopping, it means that it covers a distance of 60 miles in 1st hour and another 60 miles in 2nd hour. Total distance covered is 120 miles.
For Time = 2.5 hours
The train stops after 2 hours and remain at the same place for 30 mins. So, after 2.5 hours the distance remains the same i.e 120 miles , as the train was stopped.
For Time = 3.5 hours
After 2.5 hours, train travels at a speed of 30 miles per hour. Which means that it covers another 30 miles to reach the destination.
Total Distance covered = 120+30 = 150 miles
Isabella watched the cashier scan the 7 items in her shopping cart. The scanned prices were
$9.00 $9.00 $8.00 $5.00 $7.00 $4.00 $7.00
What was the median price of the items?
Answer:
$7.00
Step-by-step explanation:
First you have to order the prices from least to greatest-
$4.00, $5.00, $7.00, $7.00, $8.00, $9.00, $9.00
Median means the number in the middle so you find the middle number which is $7.00 (the 4th number from least to greatest)
Please HELP!! will mark brainiest
Which correlation coefficient could represent the relationship in the scatterplot? A) 0.34 B) -.098 C) -1.43 D) 0.99
Answer:
B) -0.98
Step-by-step explanation:
Correlation coefficient is usually denoted with numbers ranging from 1 to -1. Automatically, this eliminates option C) as our possible answer, since -1.43 is outside the range.
The trend shown in the scatter plot describes a negative relationship because, as the values in the Y-axis decreases, the values at the X-axis increases. The possible correlation coefficient we are likely to get is one that is negative. This eliminates option A and option and option D is our possible correlation coefficient for the scatter plot given since both values are positive.
Option B) -0.98, best represents the correlation coefficient of the given scatter plot. Since the points on the scatter plot seem closely aligned on a straight line, a negative value if -0.98 is mostly the possible one to get.
Answer:
-0.98
Step-by-step explanation:
At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter?
Answer:
The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Step-by-step explanation:
- The shaved ice is modeled as a sphere.
- The half of the shaved ice sphere extends above the cup holder.
- The volume of sphere with radius r = diameter d / 2 :
- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.
- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Hopes This Helps
What is the height of this isosceles triangle?
Answer:
height ≈ 11.9 units
Step-by-step explanation:
Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.
Using the sine ratio in one of these right triangles, then
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] ( the opposite is the height h )
sin48° = [tex]\frac{h}{16}[/tex] ( multiply both sides by 16 )
16 × sin48° = h , thus
h ≈ 11.9 ( to the nearest tenth )
Solve the following equation. Then place the correct number in the box provided.
7x=84
x=?
Answer:
7x=84
divide by 7
12=x
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
We are looking for the value of x. To find this, we must isolate x on one side. To do this, we can divide by 7 on both sides, leaving us with x=12.
A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi?
Answer:
A. M less than or equal to 17
Step-by-step explanation:
I only need to know is it 360 or 180?
Answer:
So we know that all angles add up to 360. We first subtract it by 81
Now we have 279 as an answer. But since 2w + 81 cant be 360 because it doesn't add up because you have to spaces in between them. It adds up to 180 not 360
From your question its 180A.nswer:
The answer is 180.
Step-by-step explanation:
Mark me brainiiest✌✌
Help please somebody
Answer:
10n + 4
Step-by-step explanation:
$10 * n games + $4 since $10 per game + the flat rate
Answer:
4n+10
Step-by-step explanation:
Find the equation of the line, in slope-
intercept form, that passes through the point
(-3. 2) and has slope 3.
of the equation for
Answer:
y= 3x +11
Step-by-step explanation:
slope-intercept form:
y= mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is 3, m=3
substitute m=3 into the equation:
y= 3x +c
To find the value of c, substitute a coordinate.
When x= -3, y=2,
2= 3(-3) +c
c -9= 2
c= 9 +2 (+9 on both sides)
c= 11 (simplify)
Thus, the equation of the line is y= 3x +11.
if a major sector is 60% of circle whats the measure of central angle
Answer:
S divided by R = 0
the arc is 5.9 and radius is 3.5329 then the central idea becomes 1.67
Step-by-step explanation:
If a fair die is rolled four times, which of the following is closest to the probability that at least one
roll will show the number 4?*
1) 17%
2) 67%
3) 52%
4) 36%
Answer:
Answer is 67%
Step-by-step explanation:
If you want to get the number four from 4 rolls the chances would be
1st roll = 1/6 (16.667%)
2nd roll = 2/6 (33.333%)
3rd roll = 3/6 (50.000%)
4th roll = 4/6 (66.667%)
So the answer is 67%
Please help me with my Algebra What is the solution to the system of equations? 3x−y−z=82x+y−z=3x−y+z=6 (−3,−4,−13) (2,−1.5,−0.5) (3,3,−2) (3,−1,2)
Answer:
HI
Step-by-step explanation:
What are the coordinates of the center of the hyperbola with equation (x-2)^2/4^2-(y+3)^2/5^2=1
Answer: (6, -3)
(x^2-4x+4)/16-(y^2+6y+9)/25 = 1
x = 6
y = -3
6^2 = 36
4 * 6 = 24
36 - 24 = 12
12 + 4 = 16
16/16 = 1
-3^2 = 9
6 * -3 = -18
9 - 18 = -9
-9 + 9 = 0
0/25 = 0
1 - 0 = 1
I really hope this helped, at least a little bit.
The coordinates of the center of the hyperbola is (6,-3).
What is hyperbola?
Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".
According to the question,
[tex]\frac{(x-2)^2}{4^2}[/tex] - [tex]\frac{(y+3)^2}{5^2}[/tex] = 1
Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex] - [tex]\frac{(y-h)^2}{b^2}[/tex] = 1.
The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.
From above discussion we get clearly the coordinate of hyperbola is
(6-3).
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Question 3 of 10
2 Points
Which is the best definition of an exterior angle of a triangle?
O A. An angle that is complementary to one of the interior angles of
the triangle
B. An angle that is formed by two segments that are not sides of the
triangle
C. An angle that forms a linear pair with one of the interior angles of
the triangle
O D. An angle that is formed by two segments that are sides of the
triangle
Answer:
an interior angle is an angle inside a shape, while an exterior angle is an angle made by the side of a shape and a line drawn out from an adjacent side. The sum of the interior angles of a triangle is always 180. ... An exterior angle is equal to the sum of the non-adjacent interior angles.
Step-by-step explanation:
Answer:
An angel that forms a linear pair with okie of the interior angels of the triangle
Step-by-step explanation:
Interpret the following table about school dropout at the basic level (5 marks)
Primary. Jhs
Boys. Girls. Total
49. 51. 100%
56. 44. 100%
Answer:
Step-by-step explanation:
Given the following :
- - - Jhs
Basic level - - - - Boys - - - - Girls - - - - Total
Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%
Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%
With the information above,
Primary Dropout percentage:
BOYS : [49 / (49 +51)] × 100.= 49%
GIRLS : [51 / (49 +51)] × 100.= 51%
Jhs: Dropout percentage
BOYS : [56 / ( 56 + 44) × 100 = 56%
GIRLS : [44 / (44 +56)] × 100.= 44%
I will give the brainiest answer
Answer:
289 units
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
Here C = 907.46 , thus
907.46 = πd ( divide both sides by π )
d = [tex]\frac{907.46}{\pi }[/tex] ≈ 289 units ( nearest whole number )
Answer:
[tex]d = 288.84 \: \: \: units[/tex]
Step-by-step explanation:
Using the formula
[tex]c = 2\pi \: r[/tex]
Solving for r
[tex]r = \frac{c}{2\pi} = \frac{907.46}{2\pi} \\ = 144.42674 \\ [/tex]
Now lets find the diameter
[tex]d = 2r \\ d = 2 \times 144.42 \\ d = 288.84 \: units[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Marsha wanted to survey the students in the eighth grade about their favorite type of music. Which
group of students could she ask so that her sample is random?
Answer:
add more information
Step-by-step explanation:
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?
A. 2
B. 3
C. 6
D. 9
Answer:
C. 6
Step-by-step explanation:
Answer:
A. 2
Step-by-step explanation:
slope formula is : [tex]\frac{y2-y1}{x2-x1}[/tex] or the difference in y-coordinates in 2 points divided by the difference in x-coordinates in 2 points.
in this question, they have given you both the difference in x and difference in y.
therefore this question is saying : [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{6}{3}[/tex]
[tex]\frac{6}{3}[/tex]= 2
therefore, the correct slope value is A. 2
Ok, sorry, I'm back hehe >:3 (Find the volume of a right cone that has the radius of 4 inches and the height of 12 inches) (Again, will give brainliest to first responder, and if CORRECT!) TwT
what is the solution to -122 < -3(-2-8x) -8x
Answer:
x>-8
Step-by-step explanation:
-122<-3(-2-8x)-8x
-122<6+24x-8x
-128<16x
x>-8
A small business employs 98 people. All of the employees work for 8 hours a day, 5 days a week. Eleven of the employees receive a wage of $45 an hour and the rest $30 an hour. In total, how much does the business pay its employees each week?
The business requires $124,200 to pay its employees each week.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
A small company employs 98 workers. Every employee works 8 hours a day, 5 days a week. Eleven employees are paid $45 per hour, while the remaining employees are paid $30 per hour.
As per the given question, the required solution would be as:
No. of employees at $30hr: 98 -11 = 87
⇒ 8 hours × 5 days = 40 hour a week
⇒ 40 hour × $30 × 87 =104,400
⇒ 40 hour × $45 × 11 = 19,800
⇒ 104,400 + 19,800 = 124,200
Thus, the business requires $124,200 to pay its employees each week.
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What is the percent for;
1. 0.47
2. 0.98
3. 0.25
Don't forget the % symbol on your answer.
Answer:
47%98%25%Step-by-step explanation:
First you have to make it into a fraction, then multiply it by 100 :
Q1.
[tex]0.47 = \frac{47}{100} [/tex]
[tex] \frac{47}{100} \times 100 = 47[/tex]
Q2.
[tex]0.98 = \frac{98}{100} [/tex]
[tex] \frac{98}{100} \times 100 = 98[/tex]
Q3.
[tex]0.25 = \frac{25}{100} [/tex]
[tex] \frac{25}{100} \times 100 = 25[/tex]
Does (7, 1) make the equation y = x true?
Answer:
No.
Step-by-step explanation:
The point (7,1) contains a x-value of 7 and a y-value of 1. 7 does not equal 1.
Answer:
The equation is true.
Step-by-step explanation:
Find the area of the figure in the picture please!!!
Answer:
365cm^2
Step-by-step explanation:
Answer:
365cm ^2
I think
There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the
number of brooms to the number of mops?
O A.
MIN
0110
OC.
O D.
nim
SURA
Answer:
i believe it is A because 6/2=3, 4/2=2, which gives the ratio 3/2.
Step-by-step explanation:
The ratio of the number of brooms to the number of mops is 3:2.
What is Ratio?In mathematics, a ratio is a phrase used to compare two or more numbers. It is used to express how large or tiny an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the "antecedent," while the divisor is referred to as the "consequent."
We have,
Number of brooms= 6
Number of mops= 4
So, the ratio of the number of brooms to the number of mops
= 6/4
=3/2
Thus, the required ratio is 3:2.
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