Write an algebraic expression for the nth term of each sequence for 10,50,70,100,130
Answers
Step-by-step explanation:
tn =a+(n-1)d is
the formula of
term. it's from arithmetic questions.
Related Questions
10. Solve for x.
1+ 4x
3x
7
Answers
According to the intersecting secant theorem value of x is 1.5
How to solve for xThe value of x is solved using the intersecting secant theorem
The theorem give the formula in the form
a x b = c x d
where
a = 7 and b = 7 + 1 + 4x
c = 8 and d = 3x
substituting the values we have
7 x (7 + 1 + 4x) = 8 x (8 + 3x)
7 x (8 + 4x) = 8 x (8 + 3x)
56 + 28x = 64 + 24x
collecting like terms
28x - 24x = 64 - 58
4x = 6
x = 6/4
x = 1.5
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D - Add, Subtract, Multiply, and Divide Integer A submarine Is at a depth of 350 feet below sea level. It makes the following moves. • First, it goes down 150 feet. • Next, it goes up 132 feet. • Then, it goes down 179 feet. • Finally, it goes down 145 feet. Which statement describes its current depth? A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692. B It is 8 feet below sea level, because 350 + (-150) + 132 + (-179) + (-145) = 8. c It is 256 feet below sea level, because 350 + (-150) +..(-132) + (-179) + (-145) = -256. D It is 342 feet below sea level, because 150 132 179 145 = 342. AI B ci D
Answers
We have the next information
A submarine Is at a depth of 350 feet below sea level means -350
First, it goes down 150 feet. means -150
Next, it goes up 132 feet. means +132
Then, it goes down 179 feet. means -179
Finally, it goes down 145 feet means -145
then we have the next operations
-350+(-150)+132+(-179)+(-145)=-692
The sing minus means that It is below the sea level
therefore the correct choice is
A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692.
PLZ HELP ME I.NEED.HELP ASP
Question 10
If QR=21 and PR=88, find PQ.
Answers
Answer:
67
Step-by-step explanation:
Hello!
To find PQ we subtract the length of the whole line by QR
88 - 21 = 67
The answer is 67
Hope this helps!
Which of the following would be strong evidence against the null hypothesis? Answer 1. Using a small level of significance 2. Using a large level of significance 3. Obtaining data with a small P-value 4. Obtaining data with a large P-value
Answers
Obtaining data with a small p-value would be strong evidence against the null hypothesis. Correct option is 3).
In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables, while the alternative hypothesis suggests otherwise. To determine whether to reject the null hypothesis, we calculate a p-value, which represents the probability of observing the data or more extreme results if the null hypothesis were true.
A small p-value indicates that the observed data is unlikely to occur under the null hypothesis, providing strong evidence against it. Therefore, obtaining data with a small p-value (option 3) would be considered strong evidence against the null hypothesis.
On the other hand, a large p-value (option 4) would suggest that the observed data is likely to occur even if the null hypothesis were true. This would not provide strong evidence against the null hypothesis, as it suggests that the data is consistent with the null hypothesis.
Using a small level of significance (option 1) or a large level of significance (option 2) refers to the predetermined threshold at which we decide to reject or fail to reject the null hypothesis. While the choice of significance level affects the decision-making process, it does not directly indicate evidence against the null hypothesis like the p-value does.
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For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answers
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
Determine whether the value is a parameter or statistic.
In a weight loss research study the sample of 50 women lost an average of 2.5 pounds.
Answers
It determines statistic.
Since the researcher is studying a sample of 50 women who have lost weight of pounds so since it is a sample and of a definite size so it means it is a sample so they determines statistic.
A statistic (singular) or sample statistic is any quantity calculated from values in a sample that is considered for statistical purposes. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The mean (or average) of the sample values is a statistic. The term statistic is used both for a function and for the value of the function on a given sample. When a statistic is used for a specific purpose, it may be labeled with a name indicating its purpose.
When a statistic is used to estimate a population parameter, the statistic is called an estimator. A population parameter is any characteristic of the population under study, but when it is not possible to directly measure the value of the population parameter, statistical methods are used to derive the probable value of the parameter based on statistics calculated from the sample. drawn from the population. For example, the sample mean is an unbiased estimate of the population mean. This means that the expected value of the sample mean is equal to the true population mean
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Please solve for x.
4^3x+1 = 4^5
Answers
Answer: x= 1023 /64
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
64x+1=1024
Step 2: Subtract 1 from both sides.
64x+1−1=1024−1
64x=1023
Step 3: Divide both sides by 64.
64x /64 = 1023 /64
x= 1023 /64
Answer:
1023/64
Step-by-step explanation:
4^3x+1=4^5
64x+1=4^5
64x+1-1=1024-1
64x=1023
64x/64}=1023/64
1023/64
Use properties of logarithms to find the exact value of the expression. Do not use a calculator.
2log_2^8-log_2^9
Answers
To find the exact value of the expression 2log₂⁸ - log₂⁹, we can use the properties of logarithms.
First, let's simplify each logarithm separately:
log₂⁸ can be rewritten as log₂(2³), using the property that logₐ(b^c) = clogₐ(b).
So, log₂⁸ = 3log₂(2).
Similarly, log₂⁹ can be rewritten as log₂(3²), since 9 can be expressed as 3².
So, log₂⁹ = 2log₂(3).
Now, substituting these simplified forms back into the original expression:
2log₂⁸ - log₂⁹ = 2(3log₂(2)) - (2log₂(3))
Using the property that alogₐ(b) = logₐ(b^a), we can further simplify:
= log₂(2³) - log₂(3²)
= log₂(8) - log₂(9)
Applying the property that logₐ(b) - logₐ(c) = logₐ(b/c), we have:
= log₂(8/9)
Therefore, the exact value of the expression 2log₂⁸ - log₂⁹ is log₂(8/9).
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Simplify the expression $17x-24x+13x$. Your answer should have the variable $x$ in it only once.
Answers
Answer:
1
Step-by-step explanation:
1+1=2
Click below for more info
PLease help!! I will give brainliest for the right answer!!
Answers
Answer:
angle CDE is 10 degree
Step-by-step explanation:
As angle C is 90
Angle E is equal to angle B which is 80 (180-100)
so 90+80+X=180
X=180-170
X=10
PLEASE HELP!!!!!!! Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?
Answers
Answer:
1:4
Step-by-step explanation:
Find the ratio of corresponding sides
\(\frac{10}{40}=\frac{1}{4}\\\\\\\frac{11}{44}=\frac{1}{4}\\\\\\\frac{18}{72}=\frac{1}{4}\\\\\\)
Scale factor:
1:4
Answer:
4
To find the scale factor, we need to know what number we multiply each side length in Figure AAA by to get the corresponding side length in Figure BBB.
Let's see how the corresponding sides relate:
10×4
11×4
18×4
=40
=44
=72
Chose the correct solution set for each graph.
{x1x2-2)
o {xxs-2}
(-2,00)
(-5,00)
(-00,-5)
{xlx>-5}
{x}x<-5}
{x1–2
{x12
{<1-3
<
(-2,3)
(3,-2)
[-2,2]
(-60,-2)
{x1x2-5}
Answers
Answer:
1.B&E
2.A&C
3.A&D
Step-by-step explanation:
thank me if you get it correct have a nice day:)
Answer:
B & E.A & C.A & D.Step-by-step explanation:
Based on past experience, a bank believes that 8% of the people who receive loans will not make payments on time. The bank has recently approved 600 loans. Describe the sampling distribution model of the proportion of clients in this group who may not make timely payments. Find the mean/standard error of the sampling distribution of the proportion.
Answers
The mean/standard error of the sampling distribution of the proportion is 0.0111.
What is meant by standard deviation?The root-mean square deviation, commonly known as the standard deviation and represented by the symbol, is the square root of the mean of the squares of all the values of a series calculated from the arithmetic mean.
How dispersed the data is is indicated by the standard deviation. It expresses the deviation of each observed value from the mean.
Any distribution will have roughly 95% of its values within two standard deviations of the mean. The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.
When the standard deviation is low, the data cluster around the mean; when it is high, the data are more spread.
The formula to calculate the standard error of the sampling distribution of the sample proportion is:
\($ SE(p) =\sqrt{\frac{p(1-p)}{n} }\)
It is given that a bank believes that 8% of the people who receive loans will not make payments on time. That is,
Population proportion, p =0.08
Sample size, n= 800
Using the formula defined :
\($ SE(p) =\sqrt{\frac{0.08(1-0.08)}{600} }\)
\($ SE(p) =\sqrt{0.000123}\)
SE(p) = 0.0111
Thus, the mean/standard error of the sampling distribution of the proportion is 0.0111.
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k(x) = 2x2 - 3Vx, then k(9) is
Answers
Answer:
-27V + 4
Step-by-step explanation:
i think
A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
8. the domain and range
9. Interpret the slope and y-intercept values
Need this ASAP
Answers
Answer:
Step-by-step explanation:
Domain means what are all the x's. Range means what are all the y's. In this case we have m and c(m) instead of x and y. You can think of domain as inputs and range as outputs. Here you need to know months in order to find cost, so months are the input and cost is the output. You can't have negative months. So the domain is m>=0. The range is the output. From Month 0 when the cost is $100, the expense just goes up from there. So the range is c(m) >=100. The slope is the 28, so that is the monthly fee. And the y-intercept is how much you've spent at month 0, which is the $100 that you have to spend before you even start.
Answer:
awnser is 28m +100 interprept 28 per month
Each week, rosario drives to an ice-skating rink that is 60 miles away. the round-trip takes 2.75 hours. if he averages 55 miles per hour on his way to the rink, which equation can be used to find x, the number of miles per hour he averages on his way home? startfraction 60 over 55 endfraction startfraction 60 over x endfraction = 2.75 startfraction 60 over 55 endfraction times startfraction 60 over x endfraction = 2.75 60 (55) 60 x = 2.75 60 (55) times 60 x = 2.75
Answers
The required equation is \(\frac{60}{55} + \frac{60}{x} = 2.75\), for the distance 60 miles, time 2.75 hours and milage 55 miles per hour.
What is distance?Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
We know that,
Speed is defined as the rate that an object travels through space; it is the distance traveled in a certain amount of time. A familiar example from our daily lives can be seen when we drive to work or school. Our speed is measured by how fast or slowly we drive. Our car is said to have a speed of 60 miles per hour (mph) if it will travel a distance of 60 miles in exactly 1 hour.
⇒Speed = Distance / Time
⇒ time = distance / speed
According to the question,
distance = 60 miles
speed = 55 miles per hour
Thus, the time taken by him = \(\frac{60}{55}\)
Now, distance covered while on his way to the home,
Distance = 60 miles,
Let x be the number of miles per hour he averages on his way home,
So, time taken by him = \(\frac{60}{x}\)
Thus, the total time taken by him = \(\frac{60}{55} + \frac{60}{x}\)
According to the question,
Total time taken by him = 2.75 hours,
\(\frac{60}{55} + \frac{60}{x} = 2.75\)
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Answer:
A
Step-by-step explanation:
CAUSE I SAID SO ♀️
Levi went to GamePlay to trade in his old games. GamePlay will pay him $4.99 per game he trades in. If Levi trades in 5 games and wants to purchase a new game for $59.99, how much will he have to pay? Write your answer as a decimal to two places.
Answers
Answer:
He will have to pay $35.04
Step-by-step explanation:
4.99 x 5 = 24.95
59.99 - 24.95 = 35.04
will mark brain list
Answers
Answer:
3 bags
Step-by-step explanation:
please help me!!! i will gladly give brainliest :)
Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?
A. Use a rigid transformation to prove ∠NOP ≅ ∠NML.
B. Use a rigid transformation to prove ∠NOP ≅ ∠ONP.
C. Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN.
D. Use rigid and nonrigid transformations to prove segment LM over segment ON = segment PN over segment MN.
Answers
Given:
ΔONP and ΔMNL.
To find:
The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?
Solution:
According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.
In ΔONP and ΔMNL,
\(\angle ONP\cong \angle MNL\) (Vertically opposite angles)
To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.
Using a rigid transformation, we can prove
\(\angle NOP\cong \angle NML\)
Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,
\(\Delta ONP\sim \Delta MNL\) (AA postulate)
Therefore, the correct option is A.
Similar triangles may or may not be congruent.
The additional information to prove ΔONP and ΔMNL are similar by AA similarity postulate is (a) Use a rigid transformation to prove ∠NOP ≅ ∠NML.
From the question, we have:
\(\mathbf{\triangle ONP \sim \triangle MNL}\) --- ONP and MNL are similar triangles
Because the similarities of the triangles are to be proved by AA postulate, the following angles must be corresponding and congruent
\(\mathbf{\angle ONP \cong \angle MNL}\)
\(\mathbf{\angle NOP \cong \angle NML}\)
\(\mathbf{\angle PON \cong \angle LMN}\)
Option (b) is incorrect because angles NOP and ONP are not corresponding angles
Options (c) and (d) are incorrect, because they prove the similarities by lines segments.
Hence, the correct option is (a).
This is so because, it proves the similarities of both triangles by using corresponding angles.
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An excited electron falls from n = 4 to n = 2. a. calculate the energy change in joules associated with this transition.
Answers
To calculate the energy change associated with an electron transitioning from the n = 4 energy level to the n = 2 energy level, we can use the equation for the energy of an electron in an atom, which is given by:
E_n = -13.6 eV * (1/n^2)Where E_n is the energy of the electron in the nth energy level, and eV is the unit of energy called the electronvolt.
Substituting the values of n = 4 and n = 2 into this equation gives us:
E_2 = -13.6 eV * (1/2^2) = -13.6 eV * (1/4) = -3.4 eVE_4 = -13.6 eV * (1/4^2) = -13.6 eV * (1/16) = -0.85 eVThe energy change associated with the transition from n = 4 to n = 2 is given by
E_2 - E_4 = (-3.4 eV) - (-0.85 eV) = -2.55 eV.To convert this energy change from electronvolts to joules, we can use the fact that 1 eV is equal to 1.602176634 x 10^-19 joules.
Multiplying -2.55 eV by this conversion factor gives us an energy change of -2.55 eV * 1.602176634 x 10^-19 joules/eV = -4.13 x 10^-18 joules.
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The purchase of a diamond ring is a large expense, requiring advanced planning. To estimate how much you would need to spend on a diamond, a random sample of 351 diamonds is taken from the website AwesomeGems.com on July 28, 2005. The sample mean cost per carat is $6242.40 and the sample standard deviation cost is $2895.41.
The 95% confidence interval for the population mean is ($5938.42, $6546.32). Select the correct interpretation of this confidence interval.
Answers
The correct interpretation of this confidence interval is that, based on the random sample of 351 diamonds taken from AwesomeGems.com on July 28, 2005, with a confidence level of 95%, the true population mean cost per carat of diamonds purchased from the website is estimated to fall between $5938.42 and $6546.32.
This means that if we were to repeat the sampling process many times and construct confidence intervals using the same method, about 95% of these intervals would contain the true population mean cost per carat. It is important to note that this statement is about the population mean, not any particular diamond's cost, and that this interval only applies to diamonds purchased from AwesomeGems.com on July 28, 2005.
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Find the missing side length. Round to the nearest tenth if needed.
Answers
Answer:
b = 10.24 units.
Step-by-step explanation:
Pythagorean Theorem The Pythagorean Theorem explains the connection between a right triangle's three sides. The area of the square produced on the hypotenuse of any right triangle is equal to the sum of the areas of the squares formed on its legs: a2 + b2 = c2.a, is the shortest leg of the triangle or the opposite.b, is the adjacent leg of the triangle. This leg typically forms the right angle of the triangle.c, is the hypotenuse. This is the longest leg of the triangle. Applying the theorem\(a^{2} + b^{2} = c^{2}\)\(4^{2} + b^{2} = 11^{2}\)\(16 + b^{2} = 121\)\(b^{2} = 121-16\)\(b^{2} = 105\)\(\sqrt{b^{2}} = \sqrt{105}\)\(b = 10.24\)The adjacent is 10.24 units long.
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Barky's animal shelter has a total of 15
Chihuahuas and Yorkies. There are four
times as many Chihuahuas as Yorkies.
Using c for Chihuahuas and y for Yorkies,
determine which equation may be
used to represent this situation.
c=4+y
y=4+c
y=4c
c=4y
Answers
Answer:
c = 4y
Step-by-step explanation:
Are there more, Chihuahuas or Yorkies?
Does the word 'times' mean add, subtract, multiply or divide?
The way I look at it, there are more Chihuahuas and 'times' means multiply. Do you agree?
Therefore, I need to multiply 4 times the no. of Yorkies to get the no. of Chihuahuas
So, c = 4y
Now, I don't see an equation in the list to choose from. So, I don't know what to do from here. I am guessing that c = 4y is what you want.
what is the 43rd term for 260,255,250
Answers
Answer:
43rd term = 50
Step-by-step explanation:
\(43rd \: term = 50\)
The required 43rd term will be 50 in the given arithmetic sequence.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The arithmetic sequence is given in the question as:
260, 255, 250...
This above sequence has:
The first number a₁ = 260
Common difference d = 255 - 260 = -5
The formula to find the general term of an arithmetic sequence is,
Tₙ = a₁ + (n-1)d ...(i)
Substitute the value of d = -5 and a₁ = 260 in the above formula
43rd term = 260 + (43-1)(-5)
43rd term = 260 - 42(5)
43rd term = 260 - 210
43rd term = 50
Therefore, the required 43rd term will be 50.
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if 1/2 gallon of milk costs $1.12, what is the cost per pint
Answers
Answer: $0.28
Step-by-step explanation:
A gallon is equal to 8 pints, so half a gallon is equal to 4 pints. Therefore, the cost per pint of milk is $0.28. ( 1.12 / 4 = 0.28)
50+(2x +30)+ (2x +20) + X=360
how do I solve this problem?
Answers
Answer:
x = 52
Step-by-step explanation:
50+(2x +30)+ (2x +20) + X=360
Combine like terms
5x+100 =360
Subtract 100 from each side
5x+100-100 = 360 -100
5x = 260
Divide by 5
5x/5 = 260/5
x = 52
Answer:
x=52
Step-by-step explanation:
50+(2x +30)+ (2x +20) + X=360
First combine like terms
50+30+20=100
2x+2x+x=5x
combine
5x+100=360
subtract 100
5x=260
divide by GCF (5)
x=52
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7) A laptop that normally costs $600 is offered at a discount of 35%. What is the new sale price?
Answers
Answer:
$390
Step-by-step explanation:
Multiply 600 by 0.35
210
Subtract 210 from 600
$390
This is the new price
Hope this helps :)
giving brainliest, 5 stars and a heart if your answer is correct
Answers
Answer:
A: 2;distance increases by 2 miles per hour
Write a program that reads an integer and displays, using asterisks, a filled diamond of the given side length. For example, if the side length is 4, the program should display.
Answers
Answer:
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner input = new Scanner(System.in);
int n = input.nextInt();
int l = 1;
for(int i=1; i <= n; i++){
for(int j=1; j<= l; j++){
System.out.print("*");
}
System.out.println();
l = l + 2;
}
l = l - 4;
for(int i=1; i < n; i++){
for(int j=1; j <= l; j++){
System.out.print("*");
}
System.out.println();
l = l-2;
Step-by-step explanation:
To begin, utilize a Scanner object to receive an integer as input (Line 5-6).
To print the upper section of the diamond form, make the first set of inner loops (Line 8-14). The variable l specifies the maximum number of asterisks that can be written in each row.
Create another inner loop to print the diamond shape's lower half (Line 17-23). The same variable l is used to specify the maximum number of asterisks to appear in each row.
Last saturday 16 people worked the at the theater. four people worked the morning shift and 12 worked the evening shift. they earned a total of $1,080.00. what did they earn each?
Answers
Earning of each = $33.75
Let's take the earnings of each person to be x.
Total person working at the theater = 16 + 4 + 12
= 32
Now the total earnings of the people = 32x
Which is given = $1080
So we get an equation
32x = 1080
x = $33.75
Hence we get the earnings of each person = $33.75
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