Step-by-step explanation:
relax ! don't panic. just breathe deeply and then focus again.
a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.
this factor is given here as 3/2.
this is called common ratio, because of that building rule the ratio of 2 consecutive terms is
an/an-1 = factor = 3/2
the first term is 3.
so,
a1 = 3
a2 = a1×3/2 = 3×3/2 = 9/2
a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4
we see
an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)
and therefore
a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $26,780 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $22 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer: 2,435
Step-by-step explanation:
trust
What series of transformation will not map figure H onto itself
Answer:
D
Step-by-step explanation:
Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)
Consider option D.
1st transformation will map vertices of the square into points
....2nd transformation = reflection over y = -x + 2 will map vertices into points ....These points are not the vertices of the initial square.
I hope it helps.
In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.
Use an equation to find the amount of fiber in the banana.
Answer:
There are 3.1 fibers in rhe banana
Step-by-step explanation:
6.8-3.7=3.1
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
4th option
Step-by-step explanation:
Help please ASAP !
Does this represent a function?
Does this represent a function?
Explanation:: Determine whether a relation represents a function.
:Find the value of a function.
: Determine whether a function is one to one.
:Use the vertical line test to identify functions.
:Graph the functions listed in the library functions.
Answer:No
A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced
Check the number or numbers that are in the solution set of the equation
below.
7x > 42
A. 14
B. 5
C.35
D. 6
E. 12
F9
Answer:
A, C, E, F
Step-by-step explanation:
when you multiply the numbers with 7 the answer is greater than 42
y=1/2x-4 in Standard Form
[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]
Please help me solve this... I will mark you brainliest if it’s correct
John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.
How much money did John earn over a nine week term?
After 9 weeks, John had $378 in his jar. What percentage of his money did he save?
Answer:
He earns $540
70% of his money went to savings
Step-by-step explanation:
9 weeks x 5 days a week = 45 days
45 days x $12 a day = $540
378 * 100 / 540 = (378*100) / 540 = 37800/540 = %70
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
Answer:
(-4, 3)
Step-by-step explanation:
You have to go -4 on the x-axis, and +3 on the y-axis
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?
Answer:
Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.
Step-by-step explanation:
An example is attached! The purple-ish on the right would be your solution set.
HELPPPPPPP plssssssss
Answer:
The length of FB IS D) 7 units
What is the measure of angle xyz
Answer:
Step-by-step explanation:
LET:
∠XYW=Y
X,Y and W are the angles of triangle so:
X + Y + W=180
3x+11+Y+5x+1=180
Y=180-12-8x
Y=168-8x
Now ∠XYW and ∠XYZ are the angles of a straight line:
∠XYW+∠XYZ=180
168-8x+12x-20=180
4x+148=180
4x=180-148
4x=32
x=32/4
x=8
Now substitute value of x in Y:
∠(12x-20)=12(8)-20
∠Y=76
Determine the domain of each graph:
Answer:
The 1st
Domain is (1,-3)
The second
Domain is (R)
The 3rd
Domain = (R)
The 4th
Domain =(-1,+infinity )
Respectively
i need help fast please
Solve this and show steps
4.5×8-(0.4+9.6-(3.6-1.8))
Answer:
27.8
Step-by-step explanation:
You need to do brackets first
3.6-1.8 = 1.8
Then substitute
4.5 x 8- (0.4 + 9.6- 1.8)
0.4+9.6-1.8=8.2
4.5 x 8 - 8.2 =27.8
[tex]\sqrt{17} \times \sqrt{17}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent value is ~
[tex] \boxed{17}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex] \sqrt{17} \times \sqrt{17} [/tex][tex]( \sqrt{17}) {}^{2} [/tex][tex]{(17 {}^{ \frac{1}{2}}) }^{2} [/tex][tex]17[/tex]Is 100 a reasonable estimate for 915.25 +88.22? Explain.
Answer:
When estimating always round to the nearest whole number, 10th or 100th.
Im not sure if which estimation you are requesting in this question but i'l give you three answers:
The nearest whole number which would be 915 and 88 would be 1,003
The nearest 10th which is 920 and 90 which would be 1,010
The nearest 100th which would be 900 and 90 which would be 990
You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)
Up River:
ft:
min
Down River:
ft:
min
You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.
The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,
28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.
423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.
for more visit https://brainly.com/question/25552839
How to synthetically divide polynomials.
Answer:
Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.
Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.
Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.
Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.
Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:
-2| 1 2 -4 8
↓
1
Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:
-2| 1 2 -4 8
-2
1
Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:
-2| 1 2 -4 8
-2
1 0
Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:
-2| 1 2 -4 8
-2 0
1
Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:
-2| 1 2 -4 8
-2 0
1 0 -4
Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x2 + 0x - 4 R 16
x2 - 4 R16
Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).
Step-by-step explanation:
That was quite long, but those are the steps to synthetically divide polynomials.
Jada, Elena, Lin walked a total of 37 miles last week. Jada walke 4 miles in Elena, and Lin walked 2 more miles than Jada.
Click on picture for more info :333
I AM BEING NICE TODAY. DONT I REPEAT DONT TAKE THE POINTS AND ANSWER A NONSENSICAL ANSWER. THIS WILL END UP IN AN REPORT LIKE BIG TIME >:<
I AM GIVING 100 POINTS AND BRAINLIEST. PRIZE GOES TO ONE WHO ANSWER FIRST AND CORRECTLY.
ATQ
[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]
[tex]\\ \sf\longmapsto 3m+10=37[/tex]
[tex]\\ \sf\longmapsto 3m=27[/tex]
[tex]\\ \sf\longmapsto m=9[/tex]
Elena=9miJade=13miLin=15miTen less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
Draw triangle GMT
PLS CREATE DRAWING!! refer to attachment
The angle between sides GM and MT is ∠M.
The 2 sides that include ∠T are MT and GT.
The angle between sides GT and MG is ∠G.
There's not much to say about this, but I can answer questions if you have any.
Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?
Please help? :)
Answer:
Polly has to pay $0.24 per yard of fabric.
Step-by-step explanation:
You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.
Answer Please will give brainliest.
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.
PLEASE HELP I WILL GIVE BRAINLIST IF ITS RIGHT
Jessica plants a seed 3 1/2
inches below the ground. The plant grows from there 15 3/4
inches. What is the height of the plant above the ground?
12 1/4 inches
19 3/4 inches
18 2/3 inches
13 1/2 inches
Answer:
49/4 inches
Step-by-step explanation:
Inches below ground= 3 1/2 inches
Plant's full height=15 3/4 inches
Height above ground = 15 3/4 inches -3 1/2 inches
63/4 - 7/2
63-14/4
49/4 inches
Answer:
[tex]12^1/_4[/tex] [tex]inches[/tex]
Step-by-step explanation:
We can make this an equation
[tex]-3 ^1/_{2}+15^3/_4[/tex]
We can make them the same denominator by looking for the GCF which we get as 2
Now we have
[tex]-3 ^2/_{4}+15^3/_4[/tex]
Do the equation and we get
[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer
PLEASE ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
3/2
Step-by-step explanation:
Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...
(4, 1) and (6, 4)
The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:
slope = "rise"/"run" = 3/2
The slope of the graphed line is 3/2.
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
What is the y intersect. Pls help
Answer:
total shipping cost
Step-by-step explanation:
