Answer:
For an nth term U(n) = a + (n - 1)d
n = number of terms
a = first term
d = common difference
a = 5
d = 2 - 5 = - 3
U(n) = 5 + (n -1)-3
= 5 - 3n + 3
= 8 - 3n
The formula for the sequence is 8 - 3n
Hope this helps
Samira buys a car the car loses 23% of its value in the first year. at the end of the first year her car is worth 6575.80 dollars how much did samira pay for her car?
Answer: Samira paid $8540 for her car.
Step-by-step explanation:
Let x = Amount paid by Samira for her car.
Given: Depreciation rate = 23%
Worth of car after one year = $ 6575.80
As per given,
x - 23 % of x = 6575.80
⇒ x - 0.23x = 6575.80
⇒ 0.77x= 6575.80
⇒ x= $8540 [Divide both sides by 0.77]
Hence, Samira paid $8540 for her car.
Pls help me !!! What is the area of rectangle
Answer:
B 48
Step-by-step explanation:
Ac=2AE, because AE=r, Ac=d, d=2r
Ac=2*5=10
The angle ADC is right, because it leans on the diameter AC,
find the leg DC, use the Pythagorus theorem
DC= sqrt (Ac^2-AD^2)= sqrt(100-36)=sqrt64=8
S= 6*8=48
Q: Find the result of the following program AX-0002.Find the result AX= MOV BX, AX ASHL BX ADD AX, BX ASHL BX INC BX OAX=0006, BX-0009 AX-0009, BX=0006 OAX-0008, BX=000A OAX-000A,BX=0003 OAX=0011 BX-0003 * 3 points
The result of the given program AX-0002 can be summarized as follows:
- AX = 0009
- BX = 0006
Now, let's break down the steps of the program to understand how the result is obtained:
1. MOV BX, AX: This instruction moves the value of AX into BX. Since AX has the initial value of 0002, BX now becomes 0002.
2. ASHL BX: This instruction performs an arithmetic shift left operation on the value in BX. Shifting a binary number left by one position is equivalent to multiplying it by 2. So, after the shift, BX becomes 0004.
3. ADD AX, BX: This instruction adds the values of AX and BX together. Since AX is initially 0002 and BX is now 0004, the result is AX = 0006.
4. ASHL BX: Similar to the previous step, this instruction performs an arithmetic shift left on BX. After the shift, BX becomes 0008.
5. INC BX: This instruction increments the value of BX by 1. So, BX becomes 0009.
Therefore, at this point, the result is AX = 0006 and BX = 0009.
It is important to note that the given program does not contain any instructions that assign values to OAX or change the value of OAX and BX directly. Therefore, the final results for OAX and BX remain unchanged, which are OAX = 0006 and BX = 0009, respectively.
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Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions and spoke 270 more words in Polish than in Hungarian.
How long did Sakura speak in Hungarian, and how long did she speak in Polish?
Answer:
She spoke for 2 minutes in Hungarian and 3 minutes in Polish.
Step-by-step explanation:
Set up a system of equations to solve this.
h = time in Hungarian
p =time in Polish
p + h = 5
190p - 150h = 270
Solve using substitution.
p = 5 - h
190(5 - h) - 150h = 270
Distribute/simply.
950 -340h = 270
\(\frac{-340h}{-340} =\frac{-680}{-340} \)
h = 2
p = 3
Determine a solution for the linear inequality graphed here.
A) (3, 0)
B) (3, -1)
C) (0, 0)
D) (5, 2)
Answer:
C
Step-by-step explanation:
Test all of the coordinates given to you.
Starting with the X's. (because they are all positive, move to the right.)
Go right in the direction based on the number given
then go up or down for the Y's depending on the number given.
By following this, you will find that 3 of the solutions do not end up in the shaded area but one. 0,0 is the only solution that ends up in the orange area.
What is the solution of the system of equations below?
x + 3y = 7
2x - y = 7
Answer:
y = 1
x = 4
Step-by-step explanation:
x + 3y = 7 → ( 1 )
2x - y = 7 → ( 2 )
First, let us make x the subject in equation ( 1 ).
x = 7 - 3y → ( 3 )
Let us find the value of y.
For that let us take equation (1) & replace x with ( 7 - 3y ).
2x - y = 7
2 ( 7 - 3y ) - y = 7
Solve the brackets.
14 - 6y - y = 7
Combine like terms.
14 - 7y = 7
Subtract 14 from both sides.
-7y = 7 - 14
-7y = -7
Divide both sides by -7.
y = 1
Let us find value of x
For that let us take equation (3) & replace y with 1.
x = 7 - 3y
x = 7 - 3 × 1
x = 7 - 3
x = 4
Here’s a graph of a linear function. Write the equation that describes that function.
Answer:
y = 1/2x + 3
Step-by-step explanation:
Find the slope: 1/2x
Find the b-intercept: 3
y = 1/2x +3
which is the correct expression for calculating 20 percent of the existing field cost?
To calculate 20 percent of the existing field cost, you would need to multiply the field cost by 0.20.
This will give you the amount of the cost that represents 20 percent of the total.
For example, if the existing field cost is $10,000, the calculation would be:
$10,000 x 0.20 = $2,000
20 percent of the existing field cost is $2,000.
To calculate 20 percent of the existing field cost, you can use the following expression:
Existing Field Cost x 0.20 = 20% of Existing Field Cost
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Every day Jack runs 3 km a) Find out how far he runs in 4 weeks
Answer:
84 km
Step-by-step explanation:
you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km
What is the zero of (-8, -4) and (7, 8)?
Answer:
212
Step-by-step explanation:
How many and what type of solutions does 7x^2−4x+3 have?
1. 1 rational solution
2. 2 rational solutions
3. 2 irrational solutions
4. 2 nonreal solutions
Answer:
4. 2 nonreal solutions.
Step-by-step explanation:
We need to use discriminant,
for ax²+bx+c=0
The discriminat is b²-4ac
If the discriminant is,
→ less than 0, then 0 real solutions
→ equal to 0, then 1 real solutions
→ more than 0, then 2 real solutions
Given that,
7x²-4x+3=0
a=7, b=-4, and c=3
→ (-4)²-4(7)(3)
→ 16-84
→ -68
You can see this is less than 0, then non real solutions. [2 nonreal solutions]
find the area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom. group of answer choices a. 0.025 b. 0.0125 c. 0.0375 d. 0.975
The area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom is 0.0125.
In statistics, the chi-square distribution is a continuous probability distribution that is widely used in inferential statistics. The area to the right of a certain value can be calculated using a chi-square table or a computer program. In this case, we want to find the area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom. Using a chi-square calculator or a chi-square table, we can determine that this area is 0.0125. This means that there is a 1.25% chance of getting a chi-square value greater than 23.337 with 12 degrees of freedom. This type of calculation is often used in hypothesis testing and other statistical analyses.
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3 Jade buys a blouse and a skirt for of their original price. She pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
$13.50
Step-by-step explanation:
if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt
In the expression 67.8046 8.264 - 243.5, all of the numbers are measured quantities and have the same units. Evaluate this expression to the correct number of significant figures.
The result of evaluating 67.8046 + 8.264 - 243.5 is -167.431
How to evaluate the expression?The expression is given as:
67.8046 + 8.264 - 243.5
The highest number of significant figures in the expression is 6 (i.e. 67.8046)
This means that the result must be in 6 significant figures.
Next, we evaluate the expression as follows:
67.8046 + 8.264 - 243.5 = -167.4314
Approximate to 6 significant figures.
67.8046 + 8.264 - 243.5 = -167.431
Hence, the result of evaluating 67.8046 + 8.264 - 243.5 is -167.431
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2(4x+5)=9(3x+2)? I need help
Answer:
\(x=-\frac{8}{19}\)
Step-by-step explanation:
2(4x + 5) = 9(3x + 2)
Solve for x
___________________
We have an alrebaric expressio and are asked to solve for x, which to do this, we need to isolate x.
2(4x + 5) = 9(3x + 2)
Distribute :
(2(4x) + 2(5)) = (9(3x) + 9(2))
8x + 10 = 27x + 18
Subtract 10 from both sides :
8x = 27x + 8
Subtract 27x from both sides :
-19x = 8
8 = -19x
Divide both sides by -19 :
\(x=-\frac{8}{19}\)
What is the variance for this activity? activity a m b t es ef ls lf 7 1 1.5 2 1.50 8 9.50 8 9.50
The variance for this activity is mathematically given as
Var=0.026
What is the variance for this activity?A data set's variance may be seen as a measurement of the spread that exists between the individual integers. When evaluating the asset allocation of a portfolio, investors employ an expression known as the variance equation.
After careful consideration of the table given in the question, we have that
Pessimistic time tp=2
optimistic time to=1
most likely time tm=1.5
Generally, the equation for variance is mathematically given as
\(\sigma^2=\frac{tp-to}{6}^2\)
Therefore
\(\frac{2-1}{6}^2\\\\\sigma^2=1/6^2\)
Var=0.026
In conclusion, the variance for this activity
Var=0.026
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Stephanie puts thirty cubes in a box. The cubes are 1\2 inches on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?
If the box holds 2 layers with 15 cubes in each layer, the volume of the box is 56.25 cubic inches.
To find the volume of the box, we need to multiply the length, width, and height of the box. Since the cubes are all the same size, we can use the dimensions of a single cube to determine the size of the box.
Each cube has a side length of 1/2 inch, so its volume is (1/2)^3 = 1/8 cubic inch. Since there are 30 cubes in the box, the total volume of all the cubes is:
30 cubes x 1/8 cubic inch per cube = 3 3/4 cubic inches
The box has two layers, each with 15 cubes, arranged in a rectangular shape. Therefore, the length and width of the box are each 1/2 inch x 15 cubes = 7 1/2 inches.
The height of the box is equal to the height of two layers of cubes, which is 2 x 1/2 inch = 1 inch.
Now, we can calculate the volume of the box by multiplying its length, width, and height:
Volume of box = length x width x height = 7 1/2 inches x 7 1/2 inches x 1 inch = 56.25 cubic inches.
In summary, by using the dimensions of a single cube and the number of cubes in the box, we can calculate the total volume of the cubes. Then, by using the dimensions of the arrangement of the cubes, we can calculate the dimensions of the box, which allows us to find its volume by multiplying its length, width, and height.
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sophia can walk 1.4 miles in 15 minutes. At this rate how far can she walk in an hour
My answer is 5.6.
you have to divide 1.4/15. Once you’ve done that step. Your answer is going to be multiplied resulting to 5.6. I hope this helps!
Calculate minimum and maximum frequency for acoustic
and optic mode.
( short question (
The specific range depends on the material properties and the energy levels involved.
The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.
Acoustic Mode:
The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.
The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.
The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.
Optic Mode:
The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.
The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.
The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.
It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.
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Commercials for chewing gum make claims about how long the flavor will last. In fact, some commercials claim that the flavor lasts too long, affecting sales and profit. Let’s put those claims to a test. Imagine a student decides to compare four different gums using five participants. Each randomly selected participant was asked to chew a different piece of gum each day for 4 days, such that at the end of the 4 days, each participant had chewed all 4 types of gum. The order of the gums was randomly determined for each participant. After 2 hours of chewing, participants recorded the intensity of flavor from 1 (not intense) to 9 (very intense). Here are some hypothetical data:
Analysing the data and evaluating the claims about the duration of flavor, we use analysis of variance (ANOVA) to compare the mean flavor intensities of the four gums.
Let's assume we have the following hypothetical data for the flavour intensity ratings:
Participant 1: Gum A: 7,Gum B: 6,Gum C: 8,Gum D: 7
Participant 2: Gum A: 6,Gum B: 5,Gum C: 7,Gum D: 6
Participant 3: Gum A: 8,Gum B: 7,Gum C: 9,Gum D: 8
Participant 4: Gum A: 7,Gum B: 6,Gum C: 8,Gum D: 7
Participant 5: Gum A: 6,Gum B: 5,Gum C: 7,Gum D: 6
We have 5 participants who each chewed 4 different types of gum (A, B, C, D) over 4 days. The flavor intensity ratings were recorded after 2 hours of chewing, ranging from 1 to 9.
To analyze the data and evaluate the claims about the duration of flavor, we can use analysis of variance (ANOVA) to compare the mean flavor intensities of the four gums. ANOVA helps determine if there is a statistically significant difference in the mean flavor intensities among the groups.
Here are the steps to conduct ANOVA:
Set up hypotheses:
Null hypothesis (H₀): The mean flavor intensities of the four gums are equal.
Alternative hypothesis (Hₐ): The mean flavor intensities of the four gums are not equal.
Calculate the sum of squares:
Calculate the total sum of squares (SST) by summing the squared differences between each observation and the overall mean.
Calculate the between-group sum of squares (SSB) by summing the squared differences between each group mean and the overall mean, weighted by the number of observations in each group.
Calculate the within-group sum of squares (SSW) by summing the squared differences between each observation and its respective group mean.
Calculate the degrees of freedom:
Degrees of freedom between groups (dfB) = Number of groups - 1
Degrees of freedom within groups (dfW) = Number of observations - Number of groups
Calculate the mean squares:
Mean square between groups (MSB) = SSB / dfB
Mean square within groups (MSW) = SSW / dfW
Calculate the F-statistic:
F-statistic = MSB / MSW
Determine the critical value or p-value:
Using the F-statistic and degrees of freedom, you can look up the critical value from an F-distribution table or use statistical software to calculate the p-value.
Compare the obtained F-value with the critical value or p-value:
If the obtained F-value is greater than the critical value (or if the p-value is less than the significance level, often 0.05), reject the null hypothesis and conclude that there is a significant difference in the mean flavor intensities among the gums.
If the obtained F-value is less than the critical value (or if the p-value is greater than the significance level), fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in the mean flavor intensities among the gums.
By following these steps, you can perform an ANOVA analysis to evaluate the claims about the duration of flavor and determine if there is a significant difference in the mean flavor intensities among the four different gums.
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What is the value of x? enter your answer in the box. x = cm
The value of x in the given equation will be 2/5
From the data,
We have to determine the value of x.
The given equation is: 18x-16=-12x-4
For determining the value of x, we will first shift the like terms on one side of the equation.
So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.
So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,
We will get it as:
18x+12x = -4+16
30x=12
Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.
So, the value of x will be = 12/30 = 2/5
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The correct question may be:
What is the value of x
18x-16=-12x-4
Enter your answer in the box.
Your friends and you notice a classmate who always has brand new clothes, shoes, and electronics. What would you need to know in order to tell if this classmate’s family is actually wealthy?
To know if the classmate’s family is actually wealthy, one will need to know their assets and their debt.
What is an asset?In financial accounting, an asset means a resource that is owned or controlled by a business or an economic entity. An asset is anything that can be used to produce positive economic value.
Assets represent the value of ownership that can be converted into cash and the examples of personal financial assets include cash and bank accounts, real estate, personal property like furniture and vehicles, and investments such as stocks, mutual funds, and retirement plans.
In this case, through the assets, one will be able to know that they're wealthy. The debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. This is the money that they owe.
The asset should more than the debt.
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I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE
Answer:
Step-by-step explanation:
1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.
2.) 1.07*$450 = $481.50, including sales tax (final price)
3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)
4.) 100-35-45 = 20%
250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.
Money is borrowed at 14% simple interest. After one year, $681.72 pays off the loan. How much was originally borrowed?
The amount originally borrowed at 14% simple interest is $4812.
Money is borrowed at 14% simple interest.
After one year, $681.72 pays off the loan.
We need to calculate the amount originally borrowed.
Formula for Simple Interest:
I = P × r × t
WhereI is the interest,P is the principal,r is the rate,t is the time.
Let's solve it.
Let the amount borrowed be P.
So the formula for Simple Interest is,I = P × r × t.
Given, I = 681.72, r = 14% = 0.14 and t = 1 yr.
Substituting the values in the formula we get,
681.72 = P × 0.14 × 1681.72 / (0.14 × 1) = P4812 = P.
Therefore, the amount originally borrowed was $4812.
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if the price level rises and the money wage rate remains constant, the quantity of real gdp supplied ______ and there is a movement up along the ______ aggregate supply curve.
If the price level rises and the money wage rate remains constant, the quantity of real GDP supplied decreases and there is a movement up along the short-run aggregate supply curve.
This happens because when the price level increases, the cost of production for firms increases as well. However, if the money wage rate remains constant, firms still pay the same amount for labor even though everything else costs more. This means that the profit margin for firms decreases, making it less profitable to produce as much output. As a result, the quantity of real GDP supplied decreases. This decrease in real GDP supplied results in a movement up along the short-run aggregate supply curve. The short-run aggregate supply curve shows the relationship between the price level and the quantity of real GDP supplied in the short run, assuming that the money wage rate remains constant. When the price level increases and the quantity of real GDP supplied decreases, there is a movement up along the curve, indicating a higher price level and lower real GDP supplied. In the long run, the money wage rate is flexible and will adjust to changes in the price level, allowing the economy to return to its natural level of output. This means that in the long run, the aggregate supply curve is vertical, indicating that changes in the price level do not affect the quantity of real GDP supplied.
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how do I solve this
Step-by-step explanation:
the sum of the angles = 360
8x+2 + 2x + 14 + 3x -4 +5x + 5 = 360
18x +17 = 360
18x = 343
x = 19.1
angles are:
154.8
52.2 smallest (2x + 14)
53.3
105.5
How many solutions exist for the system of equations in the graph?
one
two
three
four
Answer:
2 solutions
Step-by-step explanation:
The solutions are found at the points where the 2 graphs intersect.
From the graph there are 2 points of intersection, thus 2 solutions.
Triangle BCD is isosceles and BC ≅ BD. Circle A is shown. Isosceles triangle C B D has points on the circle. The lengths of C B and B C are congruent. The measure of arc C D is 100 degrees. What is the measure of Arc B C? 100° 120° 130° 160°
Answer:
130
Step-by-step explanation:
since bc and bd equal the same thing, plug in every answer option until you get to 360.
(130 x 2) = 260
plus cd = 100.
260 + 100 = 360.
The arc length is twice the inscribed angle.
The sum of the three angles must be 180.
The measure of the arc length BC is 130°
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle BCD is isosceles and BC ≅ BD.
Isosceles triangle C B D has points on the circle.
The measure of arc CD is 100 degrees.
This means,
We know that the arc length is twice the inscribed angle.
2 x Angle B = CD
2 x Angle B = 100
Angle B = 100/2
Angle B = 50
Now,
In an isosceles triangle, the angle opposite to the equal sides must be equal.
The sum of the three angles must be 180.
x + x + 50 = 180
2x = 180 - 150
2x = 130
x = 65
Now,
We know that the arc length is twice the inscribed angle.
So,
The measure of the arc length BC.
= 2 x 65
= 130°
Thus,
The measure of the arc length BC is 130°
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pls help me figure this out!!! quick!!
Answer:
35 degrees
Step-by-step explanation:
I think that's a right angle? If so, right angles always are 90 degrees, and 90 - 55 = 35.
Find a linear function h, given h(5) = - 7 and h( - 1) = 11. Then find h(1).
Answer:
\(h(1) =\frac{29}{3}\) or \(h(1) =9.67\)
Step-by-step explanation:
h(5) = - 7 --> (5, 7)
h( - 1) = 11 --> (-1, 11)
Using those two points to find the slope:
Slope (m) = \(\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{y_2-y_1}{x_2-x_1}\)
\(m =\frac{11-7}{(-1)-5}\)
\(m =\frac{4}{-6}\)
\(m =-\frac{2}{3}\)
\((5, 7)\)
\(y = mx + b\)
\(y=-\frac{2}{3}x+b\)
\(7=-\frac{2}{3}(5)+b\)
\(7=-\frac{10}{3}+b\)
\(3(7=-\frac{10}{3}+b)\)
\(21=-10+3b\)
\(+10\) \(+10\)
\(31=3b\)
\(/3\) \(/3\)
\(\frac{31}{3} =b\)
\(y=-\frac{2}{3}x+\frac{31}{3}\)
\(h(1) =-\frac{2}{3}(1)+\frac{31}{3}\)
\(h(1) =-\frac{2}{3}+\frac{31}{3}\)
\(h(1) =\frac{29}{3}\)
\(h(1) =9.67\)
Hope this helps!