Answer:
The formula for the nth term of the sequence is [tex]A_n =250(\frac{2}{5})^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is always the same, called common ratio.
The equation is given by:
[tex]A_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term and r is the common ratio.
250, 100, 40
First term is 250, so [tex]a_1 = 250[/tex]
Common ratio is [tex]r = \frac{40}{100} = \frac{100}{250} = \frac{2}{5}[/tex]
So
[tex]A_n = a_1q^{n-1}[/tex]
[tex]A_n =250(\frac{2}{5})^{n-1}[/tex]
The formula for the nth term of the sequence is [tex]A_n =250(\frac{2}{5})^{n-1}[/tex]
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWER 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
well it cant start off in the middle of the graph most graphs you start from the very beginning like lets just say we start at 11 and go all the way to the end so kinda like a straight line
Step-by-step explanation:
simplify x^2 - 9/x^2 - 3x
The simplified form of the expression [tex]x^2 - 9 / x^2 - 3x[/tex] is:
[tex](x - 3)(x + 3) / x^2 - 3x[/tex]
To simplify the expression [tex]x^2 - 9 / x^2 - 3x[/tex], we can factor the numerator and denominator if possible and cancel out any common factors.
First, let's factor the numerator and denominator:
[tex]x^2 - 9[/tex] can be factored as (x - 3)(x + 3).
[tex]x^2 - 3x[/tex] cannot be factored further.
Now, we can rewrite the expression with the factored form:
[tex](x - 3)(x + 3) / x^2 - 3x[/tex]
Next, we can look for any common factors between the numerator and denominator that can be canceled out. In this case, there are no common factors that can be canceled out.
Therefore, the simplified form of the expression [tex]x^2 - 9 / x^2 - 3x[/tex] is:
[tex](x - 3)(x + 3) / x^2 - 3x[/tex]
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The parallelogram shown below has an area of 140 units² .
Answer:
Step-by-step explanation:
140 = b * h
140 = b * 10
14 = b
ifu={12345678},a={1234},b={5678},then find (a union b)`
Step-by-step explanation:
A union b is 12345678
So is prime then is empty set
Compute the cost of driving for two different job options.4 $Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.50 $ Ex: 600
Answer:
Compute the cost of driving for two different job options.
Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.
Job 1
Miles each way 5
What is the cost of driving?
Job 2
Miles each way 50
What is the cost of driving?
The Total cost of driving for both the job 1 and job 2 is $1250 and $1250.
$Driving costs 0.50 dollars per mile.
Driving occurs 250 days per year.50
What is Statistic?
The statistic is the study of mathematics which deal with relations between comprehensive data.
1) job 1
ways = 5 x 2 miles
Total cost of driving = total miles x total days x driving cost per miles
= 10 x 250 x0.50
2) job 2
total cost of driving = 2 x 50 250 x0.5
Thus, The required Total cost of both the job 1 and job 2 is $1250 and $1250
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Can someone please help?
[tex]9 \times \frac{1}{4} = \frac{9}{4} [/tex]✅
Step-by-step explanation:Option A⤵
[tex]5 \times \frac{1}{2} = \frac{1}{10} \\ ⇢ \frac{5}{2} ≠ \frac{1}{10} [/tex]
Option B⤵
[tex]4 \times \frac{1}{3} = \frac{4}{12} \\ ⇢ \frac{4}{3} ≠ \frac{4}{12} [/tex]
Option C⤵
[tex]9 \times \frac{1}{4} = \frac{9}{4} \\ ⇢ \frac{9}{4} = \frac{9}{4} [/tex]
Option D⤵
[tex]8 \times \frac{1}{ 5} = \frac{9}{5} \\ ⇢ \frac{8}{5} ≠ \frac{9}{5} [/tex]
Hence, option C is correct.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
lect the correct answer.
These temperatures were recorded in International Falls, Minnesota, on four consecutive days:
day 1: -10°F
day 2: -13°F
day 3: -8°F
day 4: -11°F
On which day was the temperature farthest from 0°F ?
A.
day 1
B.
day 2
C.
day 3
D.
day 4
Answer:
b. day 2 is the farthest from 0
Estimate the line of best fit using two points on the line. (8, 80) 100 90 80 70 60 50 40 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x + 10 O c. y= 10x+ 2 OD. y= 10x
Answer:
[tex]y = 10x[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]
We have:
[tex](x_1,y_1) = (8,80)[/tex]
[tex](x_2,y_2) = (2,20)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{20 - 80}{2- 8}[/tex]
[tex]m = \frac{-60}{-6}[/tex]
[tex]m = 10[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 10(x - 8) + 80[/tex]
Expand
[tex]y = 10x - 80 + 80[/tex]
[tex]y = 10x[/tex]
If 35% of a number is 21 and 90% of the same number is 54, find 55% of that number.
the answer is on the picture
no links I can interpret numerical expressions without evaluating them.
A.
strongly agree
B.
agree
C.
disagree
D.
strongly disagree
using power to a power, what is (3^3)^3*
19,683
Hope this Helped!
Medidas de tendencia central
Answer:
uhh hell? What does that mean?
Step-by-step explanation:
Which inequality is represented by the graph below? Check all that apply. Ox>9 Ox
Answer:
The correct answers are [tex]x < 9[/tex] and any rational number less than 9.
Step-by-step explanation:
Since the inequality represented in the number line has the arrow going towards the left, and has a open/not highlighted circle on 9, that means the inequality represented by the number line is [tex]x < 9[/tex], which means the exact same as any rational number less than 9, so those two choices are the correct answer.
suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?
A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits
Answer:
C. The number of hours she babysits
Step-by-step explanation:
In this situation, the number of hours she babysits is the independent variable.
This is because it will directly influence the amount of money that she earns, which is the dependent variable.
For example, working for 1 hour will earn her $15.
So, the correct answer is C. The number of hours she babysits
match the graph shown with one of the following equations
A. y=x+2
B. y=-x-2
C. y=x-2
D. y=-x+2
E. y=-x
Answer:
A
Step-by-step explanation:
We need to find the correct options which represents the given equation . We can try it out by eliminating the given options , as
Since the graph Intersects the y axis above the origin ,the value of constant is > 0 .So , option A , and D are preferred choices .
Now the slope of the line is (-1) in option D and 1 in A . Since the graph is in 1st quadrant, so its slope will be positive .Option A is the correct option . ✔️
Option A is correct answer .Which shows 0.124 in expanded form? A. ( 1 × 1 10 ) + ( 2 × 1 100 ) + ( 4 × 1 1000 ) B. 1 + ( 2 × 1 100 ) + ( 4 × 1 1000 ) C. 1 + ( 2 × 1 10 ) + ( 4 × 1 100 ) D. ( 1 × 1 10 ) + ( 20 × 1 100 ) + ( 400 × 1 1000
Answer:
A. ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )
Step-by-step explanation:
A number is written in expanded form if it shows the sum of the values of the individual digits that make up the number.
To write 0.124 in expanded form, follow these steps:
(i) Take the digits one after the other and multiply it by its value depending on its place.
Taking the first digit - 0
The value is 0 unit, where a unit is 1
Now multiply 0 by 1
=> 0 x 1
=> 0
Taking the second digit - 1
The value is 1 tenth, where a tenth is 1 / 10
Now multiply 1 by 1 / 10
=> 1 x 1 / 10
Taking the third digit - 2
The value is 2 hundredth, where a hundredth is 1 / 100
Now multiply 2 by 1 / 100
=> 2 x 1 / 100
Taking the fourth digit - 4
The value is 4 thousandth, where a thousandth is 1 / 1000
Now multiply 4 by 1 / 1000
=> 4 x 1 / 1000
(ii) Add the results obtained in (i) above
=> (0 x 1) + ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)
=> ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)
Therefore,
0.124 in expanded form is ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )
What’s the answer no links or I will report
x>-2
Wyatt wants to spend no more than $25 at the grocery store. He bought a
pizza for $7.55 and a cake for $11.02 (including tax). Choose the inequality
that he can use to find how much money he can still spend.
Answer:
he spent $18.57 and he can spend $7.43 more
The solution is, he can still spend no more than $6.43.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
given that,
Wyatt wants to spend no more than $25 at the grocery store.
He bought a pizza for $7.55 and a cake for $11.02 (including tax).
now, we have to find the inequality that he can use to find how much money he can still spend.
let, we would spend = x
now, we have,
He bought a pizza for $7.55 and a cake for $11.02
so, he had = $ x - ( 7.55 + 11.02)
we have,
x ≥ 25
so, he can still spend ≥ 25 - ( 7.55 + 11.02)
or, he can still spend ≥ 6.43
i.e. he can still spend no more than $6.43
Hence, The solution is, he can still spend no more than $6.43.
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The weights of running shoes are normally distributed with an unknown population mean and standard deviation. If a random sample of 31 running shoes is taken to estimate the mean shoe weight, what t-score should be used to find a 98% confidence interval estimate for the population mean
Answer:
The t-score is t = 2.457.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 31 - 1 = 30
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a one-tailed confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457.
The t-score is t = 2.457.
Which expression is NOT equal to 28?
A (9 + 25 = 5) x 2
B. [(13 – 4x2) – 1] x 7
C. 42 = 6 + 28 = 4
D. 7 [8 - (12 - 4x 2)]

Answer:
aaaaa
Step-by-step explanation:
Answer:
I think it’s A
Step-by-step explanation:
-61=-3(1-5p)+4(-8-7p)
Answer: hello! have a good day! :)))
P = 2
Simplify this expression by distributing: (p - 3)6.
Answer:
6p-18
Step-by-step explanation:
Answer:
6p -18
Step-by-step explanation:
(p - 3)6
Distribute
6*p - 6*3
6p -18
PLEASE HELP ME IT'S MY LAST GRADE
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the area of the polygon?
Answer:
[tex]154m^{2}[/tex]
Step-by-step explanation:
8 · 7 = 56m (horizontal rectangle shape) the width was given by subtracting the total of the width (23m) minus (16m).
5 · 8 = 40m (square shape) Subtract 8m - 3m = 5m.
6 · 8 = 48m (square shape to the left of the polygon)
2 · 5 = 10m (small rectangle shape bottom left) 8 - 6 = 2 for the length and 5 for the width by 8 - 3 = 5
56m + 40m + 48m + 10m = 154 [tex]m^{2}[/tex]
Give the trigonometric form of each vector (leave the magnitude as a square root) p=
(<2V6, -2V2)
Answer:
[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]
Step-by-step explanation:
Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:
[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]
[tex]||v||=\sqrt{24+8}[/tex]
[tex]||v||=\sqrt{32}[/tex]
Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:
[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]
[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]
[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]
[tex]\alpha=40.89^{\circ}[/tex]
Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]
To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].
In conclusion, the trigonometric form of the vector is:
[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or
[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]
Use the linear regression feature on a graphing calculator to find the correlation coefficient for the data. Round your answer to three decimal places.
Answer:
0.9769
Step-by-step explanation:
Given the data :
X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1
Y : 35, 6, 45, 18, 20, 89, 84
The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.
How much does $3,000 earn in six months at an interest rate of 4 compounded quarterly?
Answer:
The final balance is ₹4,926.8.
The total compound interest is ₹3,926.8.
The amount of money that was earned in six months with an interest rate of 4 compounded quarterly will be $3184.6.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.
The principal amount of $3,000 was earned in six months at an interest rate of 4 compounded quarterly. Then the value of n will be 4. Then we have
[tex]A = 3000 \left (1 + \dfrac{0.04}{4} \right )^6[/tex]
Simplify the equation, then we have
A = 3000 (1.01)⁶
A = 3000 x 1.062
A = $3184.6
The amount of money that was earned in six months with an interest rate of 4 compounded quarterly will be $3184.6.
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what is communication
Answer:
An interaction that you do verbally or physically to let someone know something.
it either
the imparting or exchanging of information or news
or
means of sending or recieving information, such as phone lines or computers
What is 12% of 125? Round each answer to the nearest WHOLE number.
Answer:
10
Step-by-step explanation:
Answer: 15
you do the whole number (125) times the percentage in decimal for (.12)
so its 125 x 0.12 = 15
How many bows can you make from 3 and 2/3 meters of ribbon if 1/4 of a meter of ribbon makes one bow
Answer:
14
Step-by-step explanation:
(11/3)/(1/4)=14 2/3 which means you can make 14 complete bows