Answer:
the first term is 8 and common difference d is -4.
Step-by-step explanation:
We are given nth term of an arithmetic sequence is: aₙ=12-4n
We need to find first term and common difference of given arithmetic sequence
First term can be found by putting n=1:
[tex]a_n=12-4n\\a_1=12-4(1)\\a_1=12-4\\a_1=8[/tex]
So, first term is a₁= 8
Now to find common difference we need to find second term
Second term can be found by putting n=2
[tex]a_n=12-4n\\a_2=12-4(2)\\a_2=12-8\\a_2=4[/tex]
So, second term is: 4
The common difference is found by subtracting second term with first term: a₂-a₁= 4-8 = -4
So, first term is 8 and common difference d is -4
At Pizza Pi, 24% of the pizzas made last week had extra cheese. If 12 pizzas had extra cheese, how many pizzas in all were made last week? plz help me
Answer: 50
Step-by-step explanation:
Let the number of pizza made last week be represented by y.
From the question, we can form it into:
24% of y = 12
24/100 × y = 12
0.24 × y = 12
0.24y = 12
y = 12/0.24
y = 50
50 pizza were made last week.
A popular podcast poses questions to subscribers at the end of each segment, asking listeners to enter their responses on a website to join the sample. One of the questions was: "Do you regularly read nonfiction novels?” More than 45,000 people responded, with 59 percent saying "Yes.” Which of the following is true?
A)The sample is too small to draw any conclusion.
B)About 59% of people in the US regularly read nonfiction novels.
C)The poll uses voluntary response, so the results tell us little about the population of all adults.
D)The poll uses a convenience sample, so the results tell us little about the population of all adults.
E)The poll suffers from nonresponse bias, so the results tell us little about the population of all adults.
Answer:
The correct option is C.
Step-by-step explanation:
About 59% of the 45,000 people responded as "Yes" to the question, "Do you regularly read nonfiction novels?”
The sample size is, n = 45,000.
The sample proportion is, p = 0.59.
The sample selected is a voluntary sample, i.e. the individuals provided their responses voluntarily. So, the sample is not a true representative of the population. Though the results tell us little about the population of all adults because of the large sample size.
Thus, the correct option is C.
Gayle is making gift bags and must tie 250 ribbons to them. If Gayle can tie 4 ribbons every 10 minutes, how long will it take Gayle to tie all 250 ribbons?
Answer:
625 minutes
Step-by-step explanation:
Given that:
Time taken to tie 4 ribbons = 10 minutes
Number of ribbons to be tied = 250
To find:
Time taken to tie 250 ribbons.
Solution:
First of all, we need to find the time taken to tie one ribbon.
And then we can multiply it with 250 to find the time taken to tie all the 250 ribbons.
For finding the time to tie one ribbon, we need to divide the time taken to tie 4 ribbons with 4.
Time taken to tie 1 ribbon = [tex]\frac{10}{4} = 2.5[/tex] minutes
Time taken to tie 250 ribbons = 2.5 [tex]\times[/tex] 250 = 625 minutes
What is the inequality for the graph [-7,3], [0,-4]
Answer:
[45]
Is the answer................
HELLO HUMANS FROM MARS. WILL MARK BRAINLIEST!!!! THIS QUESTION IS ABOUT SNOWFALL. When snow melts after it falls because of the sun, is it considered positive or negative ( - + )?
9514 1404 393
Answer:
positive decrease in depthnegative change in depthStep-by-step explanation:
Depth of snowfall is usually measured above some base. The greater the depth, the higher the surface is above the base.
When the depth decreases, as by melting, the change in depth is negative. That is, the difference between the new depth and the old one is negative. A 12" depth experiencing a change of -1 inch becomes an 11" depth.
If the question is about how much the depth decreased, the decrease is given as a positive value. A 12" depth decreased by (+)1 inch becomes an 11" depth.
The sign of the number of interest depends on what question it is answering.
What is the solution to the equation 23(y−6)=−(y+2)+1?
Answer:
The answer is Y=9/5
Step-by-step explanation:
I used a calculator and I got the answer right on my test so what more do you need?
Can someone help me on this ?
Which of these statements best describes the relation shown in Item 1?
A.a function that is one-to-one
В.a function that is many-to-one
C. a function that is one-to-many
D.a relation that is not a function
PLEASE ANSWER RNNNNNNNNNNNNN IM GIvING 30 POINTS
Answer:
C,-3
Step-by-step explanation:
take y2-y1/x2-x1
6+3/-3=Neg 3
Answer:
C. -3
Step-by-step explanation:
You can do this using two different methods.
First, slope is written rise over run, or y over x. We can find two points and count how much we need to rise and run. The graph already includes the points (2,-3) and (-1, 6), which we will use. If you carefully look at the graph, you can see that if you start from the point (2,-3), you can rise 9 and run -3 to get to the point (-1, 6), which brings me to the next step. As I stated in the beginning, slope is written rise over run. Therefore, the slope is 9/-3, which simplifies to -3, answer choice C.
Another way you can do this is subtracting the y's and subtracting the x's in the same order. The y's go over the x's, and is basically written as a fraction. For this method, we still need two points. We will use the same points as above and listed on the graph, points (2,-3) and (-1, 6). The y's are -3 and 6, and the x's are 2 and -1. Now, subtract.
-3-6 =-9=-3
2-(-1)= 3
As you can tell, both methods of solving for slope worked, and the answer is choice C.
I hope this helps!! Have a great day, and thanks for the points (^人^)
In Mr.Evans class he has 25 students. If the ratio of boys to girls is 2 boys for every 3 girls, how many girls are in the class
Answer:
15
Step-by-step explanation:
3x5=15
2x5=10
i need to waste space so yeah
Fill in the blanks. If a function is one-to-one then its inverse will be _____________. If a function is NOT one-to-one then its inverse will _______________________. *
Answer:
Inverse functions Inverse Functions If f is a one-to-one function with domain A and range B, we can de ne an inverse function f 1 (with domain B ) by the rule f 1(y) = x if and only if f(x) = y: This is a sound de nition of a function, precisely because each value of y in the domain of f 1 has exactly one x in A associated to it by the rule y = f(x).
Step-by-step explanation:
Hope it helps
Are these expressions equivalent? Explain why or why not. 42 + 35 706 + 5)
Answer:
Yes, they are equivalent.
Step-by-step explanation:
Both of the expressions equal to 77. 42+35 is easy, just add to get 77. To solve 7(6+5) remember PEMDAS which tells you to do parentheses first. So add 6+5, which is 11, then multiply by 7. 11*7 is 77, therefore the expressions are equivalent.
Please help I’m giving 10 points
Answer and Step-by-step explanation:
The first answer: Congruent
The second answer: Reflective Property
Angle D reflects on itself, making it congruent to itself.
The third answer: Are
The sides and angle are congruent to the other sides and angle because of the Given statement and SAS.
#teamtrees #WAP (Water And Plant)
What is madeline mistake
Answer:
4000 should be 40 to be correct. simple wrong steps.
Step-by-step explanation:
The “strike zone” or distance across home plate is 17 inches. Determine how long a baseball pitched at 90 mph is in the strike zone. Show your work
Answer:
2.98×10^-6 hrs
Step-by-step explanation:
Speed = Distance/Time
Time = Distance/speed
Given
Distance = 17in
Speed= 90mph
Convert inches to miles
1in = 1.578 × 10-5 mile
17in = 17(1.578 × 10-5) mile
17in = 26.826×10^-5miles
Get the time
Time =26.826×10^-5/90
Time = 0.298×10^-5
Time = 2.98×10^-6 hrs
5/7 divided by 1/7?? Plez help
Answer:5
Step-by-step explanation:When we divide two fractions, such as 5/7 ÷ 1/7, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
are these equivalent?
175/30 & 122.5/21
Solve and state any extraneous solutions
[tex] \frac{3x}{x - 1} + 2 = \frac{3}{x - 1} [/tex]
[tex] \frac{3x}{x - 1} + \frac{2(x - 1) }{ x - 1} = \frac{3}{x - 1} [/tex]
[tex] \frac{3x}{x - 1} + \frac{2x - 2}{ x - 1} = \frac{3}{x - 1} [/tex]
[tex] \frac{3x + 2x - 2}{ x - 1} = \frac{3}{x - 1} [/tex]
[tex]3x + 2x - 2 = 3[/tex]
[tex]5x - 2 = 3[/tex]
[tex]5x = 3 + 2[/tex]
[tex]5x = 5[/tex]
[tex]x = \frac{5}{5} [/tex]
[tex]x = 1[/tex]
Plssss help on number 1 2 and 4
Answer:
1: 1/2 2:x+1, y-3 4:2/2
if p(x)=-2x-4 and p(x)=6x ,find x. PLEASE ANSWER!
Answer:
x = -0.5
Step-by-step explanation:
p(x) = -2x - 4 = 6x
-4 = 8x
x = -0.5
Topic: Functions + Simultaneous equations
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Find the quotient.
420 = 6
Answer:
70
Step-by-step explanation:
Do you mean 420 ÷ 6
then the answer is 70
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Identify the perimeter and area of a square with diagonal length 11in. Give your answer in simplest radical form.
Answer: Perimeter = 22*sqrt(2)
Area = 60.5 inches
Step-by-step explanation:
Simple a square has 4 equal sides.
It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.
Answer:
4*[tex]\sqrt{60.5}[/tex] is peremiter and 60.5 is area
Step-by-step explanation:
11x11=121/2=60.5
[tex]\sqrt{60.5}[/tex]=one side of square
4*[tex]\sqrt{60.5}[/tex]=peremiter
60.5=area
reduce the ratio to its lowest form 18:81
Answer:
1:4.5 or 2:9 if you want it a whole number.
Step-by-step explanation:
81/18 = 4.5If your trying to get it to a whole number the answer would be 2:9 because 18/9 = 2 and 81/9 = 9 so 1:4.5 or 2:9.
What is the midpoint of (-3,8) and (1,2)
Answer:
Step-by-step explanation:
(-3+1)/2 = -2/2 = -1
(8+2)/2 = 10/2 = 5
(-1, 5)
Answer:
[tex]\boxed {(-1, 5)}[/tex]
Step-by-step explanation:
Use the Midpoint Point Formula to determine the midpoint of two given points:
[tex](\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
First point: [tex](x_{1}, y_{1})[/tex]
Second point: [tex](x_{2}, y_{2})[/tex]
-Substitute the given points:
First point: [tex](-3, 8)[/tex]
Second point: [tex](1, 2)[/tex]
[tex](\frac{-3 + 1}{2}, \frac{2 + 8}{2})[/tex]
-Solve the equation:
[tex](\frac{-3 + 1}{2}, \frac{2 + 8}{2})[/tex]
[tex](\frac{-2}{2}, \frac{10}{2})[/tex]
[tex]\boxed {(-1, 5)}[/tex]
Thus, the midpoint is [tex](-1, 5)[/tex].
Find the slope of the line.
(Just answer it by saying “The slope is:”
Answer:
4/3
Step-by-step explanation:
Answer:
The slope is 8/6 or 4/3
Step-by-step explanation:
rise over run
How much do I need to invest now, at 5% p.a compound interest, for the total in 6 years to be $10,000
Answer:
$7462 to the nearest dollar.
Step-by-step explanation:
10000 = P(1 + 0.05)^6 where P is the initial investment.
10000 = P * 1.05^6
Taking logs:
log 10000 = log P + 6 log 1.05
log P = log 10000 - 6 log 1.05
log P = 4 - 0.127136 = 3.872864
P = 7462
Find the missing angle:
?
76
42
Estimate 36.79 ÷ 29 using compatible numbers.
12
PLEASE HELP MEEEEEEEE
Determine the internal and external angles of the triangle below
Answer:
The internal angles are 78°, 72°, 30°, and the external angle is 150°
Step-by-step explanation:
In a triangle, the measure of an external angle at one vertex equals the sum of the measures of the opposite internal angles to this vertex
In the given figure
∵ The angle of measure (4x + 22) is an exterior angle
∵ The angles of measures (3x - 18) and (2x + 8) are the opposite
interior angles
→ By using the rule above
∴ (3x - 18) + (2x + 8) = (4x + 22)
→ Add the like terms in the left side
∵ (3x + 2x) + (-18 + 8) = 4x + 22
∴ 5x + (-10) = 4x + 22
→ Remember (+)(-) = (-)
∴ 5x - 10 = 4x + 22
→ Add 10 to both sides
∵ 5x - 10 + 10 = 4x + 22 + 10
∴ 5x = 4x + 32
→ Subtract 4x from both sides
∵ 5x - 4x = 4x - 4x + 32
∴ x = 32
→ Substitute the value of x in the external and internal angles to find them
∵ The external angle = 4(32) + 22 = 128 + 22
∴ The external angle = 150°
∵ One of the internal angle = 3(32) - 18 = 96 - 18
∴ One of the internal angle = 78°
∵ Other internal angle = 2(32) + 8 = 64 + 8
∴ Other internal angle = 72°
→ The sum of the measure of the internal angles of a Δ is 180°
∵ The third internal angle of the triangle = 180° - 78° - 72°
∴ The third internal angle of the triangle = 30°
∴ The internal angles are 78°, 72°, 30°, and the external angle is 150°
how to use side lengths to determine the type of triangle.
Answer:
I think this is how you use it.
Use the side lengths to classify the triangle as acute, right, or obtuse. Classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides. Compare c2 with a2 b2.
Answer:
Use the side lengths to classify the triangle as acute, right, or obtuse. Classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides. Compare c2 with a2 b2.