Answer:
3, 8, 13, 18, 23
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 18 and a₉ = 43 , then
a₁ + 3d = 18 → (1)
a₁ + 8d = 43 → (2)
Subtract (1) from (2) term by term, eliminating a₁
5d = 25 ( divide both sides by 5 )
d = 5
Substitute d = 5 into (1) for value of a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3 , then
a₂ = a₁ + 5 = 3 + 5 = 8
a₃ = a₂ + 5 = 8 + 5 = 13
a₄ = a₃ + 5 = 13 + 5 = 18
a₅ = a₄ + 5 = 18 + 5 = 23
The first 5 terms are 3, 8, 13, 18, 23
Line segment RS has endpoints R (-2, 4) and S (-4, -1).
Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).
Name the transformation that maps line segment RS to line segment R''S''.
Answer:
rotation 180° (ccw) over point (0.5 , 0.5)
Step-by-step explanation:
R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)
check: rotation over (0.5,0.5) 180°
x'' = - (x - x₀) + x₀ .. x: original x coordinate, x₀ : center of rotation
y" = - (y - y₀) + y₀
for R" : x" = - (-2 - 0.5) + 0.5 = 3
y" = -(4 - 0.5) + 0.5 = -3
You can verify the coordinates of S" by the above formula.
** (0.5,0.5) is the intersect of RR" and SS"
Multiply (8 + 3i)(3 + 5i).
39 + 49i
9 + 49i
24 + 15i2
24 + 49i + 15i2
Answer:
It's the last option "24 + 49i + 15i^2"
Step-by-step explanation:
To solve you must do FOIL, (First, Outer, Inner, Last). To do this, you must do:
8 × 3 = 24 , 8 × 5i = 40i , 3i × 3 = 9i , and
3i × 5i = 15i^2 .
Don't forget to combine like terms.
Altogether: 24 + 49i + 15i^2 .
Picture does better job at explaining FOIL⤴⤴⤴
Hope this helps :)
Answer: 9+49i
Step-by-step explanation:
By which rule are these triangles congruent. A. AAS B. ASA C. SAS D. SSS
Help! What can we do to kill off the zombies?? The scientists realize that salt kills the zombies, if enough is poured on them (one full can). The reaction between the salt and zombie blood causes the zombie to disintegrate. Morton's salt has a plant in Tooele county just west of Grantsville, and can distribute cans of salt to people residing in Utah. If Morton's salt can distribute 300,000 cans of salt each day, write an equation to model the number of cans of salt distributed after n days.
Question 4 options:
f(n)=300,000n
f(n)=300,000+n
f(n)=300,000n
f(n)=300,000n/n
Answer:
I think its f(n)=300,000n
Step-by-step explanation:
Answer:
f(n)=300,000n
Step-by-step explanation:
2-h=6-k - solve for k
help please
Answer:
k=4+h
...................
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the
.
The variable y represents the
.
The deli charges $
Answer:
The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Step-by-step explanation:
Let the cost of 1 pound of meat be x
Let the cost of 1 pound of cheese be y
Cost of 4 pounds of meat = 4x
Cost of 5 pounds of cheese = 5y
Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.
So, equation becomes :
Cost of 11 pounds of meat = 11x
Cost of 14 pounds of cheese = 14y
Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.
So, equation becomes :
Thus the system of equations are :
-1 (Red line)
-2 (Black line)
Solving these equations graphically we get the solution
x = $4.5
y = $2.5
Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.
Sage needs 2 boards to make a shelf. One board is 260 cm long and the other is 1 1/4 m long. What is the total length of the shelf?
Answer:
385
Step-by-step explanation:
1 1/4 meters = 125 cm
125+260 = 385
Answer:
sum = 260 + 270 = 535 cm or = 5,35 m
Step-by-step explanation: take 11/4m = 2,75m * 100 = 275 cm
just help on what to say here
[tex]\sf 2x+7+8x=35[/tex]
Answer:
x=14/5
Step-by-step explanation:
Group like terms
2x+8x+7=35
Add similar elements: 2x+8x=10x
10x+7=35
Subtract 7 from both sides:
10x+7−7=35−7
Simplify
10x=28
Divide both sides by 10
10x/10 =28/10
Simplify:
x=14/5
Answer:
[tex]2x+7+8x=35[/tex]
[tex]2x+8x+7=35[/tex]
[tex]10x+7-7=35-7[/tex]
[tex]10x=28[/tex]
[tex]\cfrac{10x}{10}=\cfrac{28}{10}[/tex]
[tex]x=\cfrac{14}{5}[/tex]
or
[tex]x=2.8[/tex]
If there are 5 females in a classroom, and 4 males, but 4 of the females are students, whos the other female? please only answer if you know ive been stuck on this for hours
Answer:
1 teacher female
Step-by-step explanation:
Answer:
Teacher?
Step-by-step explanation:
Well if the other female isn't a student then it must be the teacher.
A basketball player made 12 out of 15 free throws she attempted.She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. Write an equation to represent this situation.
Answer:
(12 + x)/(15 + x) = 85/100
Step-by-step explanation:
12/15 = 0.8
She currently has an 80% rate.
To raise it, she needs to make x shots. Since she makes all x shots, we add x to both the number of shots made and attempts.
She will make 12 + x shots in 15 + x attempts.
We want that rate to be 0.85 which is the same as 85%.
(12 + x)/(15 + x) = 85/100
(12 + x)/(15 + x) = 17/20
20(12 + x) = 17(15 + x)
240 + 20x = 255 + 17x
3x = 15
x = 5
Answer:
The equation is (12 + x)/(15 + x) = 85/100.
Please help with this math problem ASAP!! I will mark brainliest! :)
Answer:
y=4 x=6
Step-by-step explanation:
you said asap do i dont have time to explain
Use substitution to solve the system.
5x – 4y = 32
y = 2x – 11
symbolab
Step-by-step explanation:
it's free it can help you a lot I promise
Question 10
Luella has a bag with three Hershey Kisses, two Reese's Cups, five York Peppermint
Patties, and a Jolly Rancher. What is the probability that Luella will pull out a Reese's
Cup, eat it, and then pull out another Reese's Cup? Write your answer as a simplified
fraction
Using the probability concept, it is found that there is a [tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's Cup, eat it, and then pull out another Reese's Cup.
A probability is the number of desired outcomes divided by the number of total outcomes.
Initially, there are 11 sweets, 2 of which are Reese's Cups, thus, there is a [tex]\frac{2}{11}[/tex] probability of pulling a Reese's Cup.Then, there will be 10 sweets, of which 1 will be a Reese's Cup, thus, [tex]\frac{1}{10}[/tex] probability of pulling another Reese's Cup.The probability of both events is the multiplication of the probabilities of each event, thus:
[tex]p = \frac{2}{11} \times \frac{1}{10} = \frac{2}{110} = \frac{1}{55}[/tex]
[tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's Cup, eat it, and then pull out another Reese's Cup.
A similar problem is given at https://brainly.com/question/15536019
Can someone PLEASE tell me the answer to this
Answer:
m /CBA = 82 degree
Step-by-step explanation:
if you want explanation tell me
Perform the operation. Enter your answer in scientific notation.
9 x 10^*8 - 5.3 x 10^*8 =
Answer:
3.7x10^8
Step-by-step explanation:
did it on calc
Answer Asap!
<3 THX <3
XOXO Also giving out brainliest!
Answer:
4,3 becomes 0,0 after the changes
Answer:
32
Step-by-step explanation:
28 29 30
Nadia says figure A id dilated to form figure A' using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?
Answer:
Nadia says figure A is dilated to form figure A9 using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?
Step-by-step explanation:
what are the equations to the graph
Can someone help me no bots or ill report ill also give brainly when their is 2 answer
The equations are y=3x-1 and y=-3x+5
I’ll try to solve it in the comments if you still have time
BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y = 3.5x +4
represents the cost y of bowling games. Interpret the parameters of the function.
represents the price per game
$
represents the shoe rental charge.
The parameters of a linear function are the slope, and the intercepts.
3.5 represents the price per game4 represents the shoe rental chargeA linear function is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where:
m represents the slope or the rates
b represents the y intercept or the initial value of the function.
So, by comparison:
[tex]\mathbf{m = 3.5}[/tex]
[tex]\mathbf{b = 4}[/tex]
So, we have:
The price per game is 3.5 (i.e. the slope), and the shoe rental charge is 3.5 (i.e. the y-intercept)
Read more about function parameters at:
https://brainly.com/question/18672496
What are the factors of -3?
Step-by-step explanation:
The positive factors of -3 are 3 and 1
There is also -3 and -1
6 friends go strawberry picking. They pick 30 strawberries on Friday and 12 strawberries on Saturday. How many strawberries dose each person get?
Please Help Me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+4y=4
Nancy bought a soft drink for 2 dollars and 9 candy bars. She spent a total of 38 dollars. How much did each
candy bar cost?
Answer:
$4
Step-by-step explanation:
Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:
38 - 2 = 36
Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:
36 / 9 = 4
So, each candy bar costs 4 dollars
Hope this helps :)
Answer:
4 dollars
Step-by-step explanation:
38 - 2
= 36
36÷9 ( candy bars)
= 4 dollars
what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14
can i get help for number 3???!?! please!!
Answer:
1.) 40 degrees
2.) 75 degrees
3.) 105 degrees
4.) 140 degrees
Step-by-step explanation:
Straight lines are = 180 degrees. Each of the angles you must solve have a given exterior angle. All you have to do is subtract the exterior angle from 180 to find the interior angle
1.) angle = 180-140
2.) angle = 180-105
3.) angle = 180-75
4.) angle = 180-40
Answer:
Measure of angle 1 is: 40 degrees
Measure of angle 2 is: 75 degrees
Measure of angle 3 is: 105 degrees
Measure of angle 4 is: 140 degrees
Step-by-step explanation:
Each of these angles is supplementary, meaning it adds up to 180 degrees,Thus, we can just subtract the measurement given from 180 to get our angle's measurement :)
Please help !!! Aspen scored no fewer than 18 points in her
last basketball game. She scored 6 points on free
throws that are worth 1 point each. The rest of
the points she scored on 3-point field goals.
Which inequality can be used to
determine, p, the number of 3-point field
goals that Aspen made?
Inequalities are used to represent unequal expressions.
The inequality is: (c) [tex]\mathbf{3p + 6 \ge 18}[/tex]
The given parameter is:
[tex]\mathbf{Free = 6}[/tex]
Represent the number of 3-point field goals with p.
So, the total number of points is:
[tex]\mathbf{Total = 3 \times p + Free}[/tex]
[tex]\mathbf{Total = 3 p + Free}[/tex]
Substitute 6 for Free
[tex]\mathbf{Total = 3 p + 6}[/tex]
He scored no fewer than 18 points, means that:
He scored 18 or more points
So, the inequality is:
[tex]\mathbf{Total = 3 p + 6 \ge 18}[/tex]
Rewrite as:
[tex]\mathbf{3p + 6 \ge 18}[/tex]
Hence, the correct option is (c)
Read more about inequalities at:
https://brainly.com/question/11612965
Erica cut 2/3 yard ribbon into pieces that are 1/6 yard long how many pieces of ribbon did she cut
Answer:
4 pieces
Step-by-step explanation:
To perform the calculation, it's easier for both values to have the same denominator.
2/3 yards is the same as 4/6 yards.
Now we have two values with the same denominator: 4/6 and 1/6.
(4/6) / (1/6) = 4.
If the scale is 3cm to 8 km, what is 5 cm?
Answer:
Step-by-step explanation:
3 cm=8 km
1cm=8/3 km
5 cm=8/3×5=40/3 =13 1/3 km
[tex]500+500+500[/tex]
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[tex]500 + 500 + 500[/tex][tex]1500[/tex]