when multiplying or dividing a negative and negative number your results will be
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Related Questions
formula for 4,9,14 19
Answers
Answer:
\(a_{n }\) = 5n - 1
Step-by-step explanation:
There is a common difference between consecutive terms , that is
9 - 4 = 14 - 9 = 19 - 14 = 5
This indicates the sequence is arithmetic with nth term
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 4 and d = 5 , then
\(a_{n}\) = 4 + 5(n - 1) = 4 + 5n - 5 = 5n - 1
Answer:
nth term = 5n - 1.
Step-by-step explanation:
This is an arithmetic sequence.
First term a = 4 and common difference d = 5.
nth term = a + d(n -1)
= 4 + 5(n - 1)
= 5n + 4 - 5
= 5n - 1
Find the quotient. 2x - 3 over x divided by 7 over x^2
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The quotient include the following: D. \(\frac{x(2x-3)}{7}\)
What is a quotient?In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
Based on the information provided above, we can logically deduce the following mathematical expression;
\(\frac{2x-3}{x} \div \frac{7}{x^2}\)
By rearranging the mathematical expression using the multiplication operation, we have:
\(\frac{2x-3}{x} \times \frac{x^{2} }{7}\\\\2x-3 \times \frac{x }{7}\\\\\frac{x(2x-3)}{7}\)
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Find the present value of $3,800 under each of the following rates and periods: (Round intermediate calculations to 6 decimal places, e.g. 2.512512 and round final answer to 2 decimal places, e.g. 2,515.25.) a. 9.0 percent compounded monthly for five years. Present value b. 6.6 percent compounded quarterly for eight years. Present value c. 4.38 percent compounded daily for four years. Present value d. 5.7 percent compounded continuously for three years. Present value
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The present value of $3,800 varies: $2,708.48 (9.0% monthly for 5 years), $2,553.08 (6.6% quarterly for 8 years), $3,136.96 (4.38% daily for 4 years), and $3,272.83 (5.7% continuously for 3 years).
a)To calculate the present value when the interest rate is 9.0 percent compounded monthly for five years, we can use the formula for compound interest: PV = FV /\((1 + r/n)^{(n*t)}\), where PV is the present value, FV is the future value, r is the interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get PV = 3800 /\((1 + 0.09/12)^{(12*5)}\) ≈ $2,684.06.
b)For an interest rate of 6.6 percent compounded quarterly for eight years, we can use the same formula. PV = 3800 / \((1 + 0.066/4)^{(4*8)}\) ≈ $2,653.55.
c) When the interest rate is 4.38 percent compounded daily for four years, the formula gives us PV = 3800 / \((1 + 0.0438/365)^{(365*4)}\) ≈ $3,091.41.
d) In the case of continuous compounding at a rate of 5.7 percent for three years, the formula changes to PV = FV / \(e^{(r*t)}\) , where e is the base of the natural logarithm. Therefore, PV = 3800 /\(e^{(0.057*3)}\)≈ $3,244.82.
By applying the appropriate formulas and rounding the calculations to the specified decimal places, we find the present values for each scenario.
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Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12
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Growth factor is 3
Find the third side in simplest radical form:
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Answer:
The third side is 3
Step-by-step explanation:
The given triangle is a right-angled triangle. Pythagoras theorem can be used to find the third side of the triangle.
Pythagoras theorem states that:
\((Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\)
Given
Base = 4
Hypotenuse = 5
Putting the values in the formula
\((5)^2 = (4)^2 + (Perpendicular)^2\\25 = 16 + (Perpendicular)^2\\25-16 = (Perpendicular)^2\\(Perpendicular)^2 = 9\)
Taking square root on both sides
\(\sqrt{(Perpendicular)^2} = \sqrt{9}\\Perpendicular = 3\)
The third side is 3
Answer: 4
Step-by-step explanation:
When finding the third side in the most radical form of 3 and 5 the answer is 4
The measures of the angles of a triangle are shown in the figure below. Solve for X.
42°
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Answer:
if its Celsius to Fahrenheit its 107.600
Step-by-step explanation:
only answer this if you know the correct answer please answer all questions correctly please please please please please please, please, please
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Answer:
10. 6
11.c
6. 39
2. c=7p
what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°
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Answer:
139
Step-by-step explanation:
Supplementary angles add to 180 degrees
BOC + 41 = 180
BOC = 180-41
BOC = 139
Find 2/3u, 3v, v-u, and 2u+5vu = (4,9) , v = (3,-6)a. 2/3 ub. 3vc. v-ud. 2u + 5v
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Simplifying,
1. 2/3u = 2/3 * (3,-6) = (2, -4)
2. 3v = 3 * (3,-6) = (9, -18)
3. v-u = (3,-6) - (3,-6) = (0, 0)
4. 2u + 5v = (2, -4) + 5 * (3, -6) = (4, 9)
To find 2/3u, 3v, v-u, and 2u+5vu = (4,9) with v = (3,-6), we can use the following steps:
The first step involves finding 2/3u, which is done by multiplying 2/3 with the given value for v, (3,-6).
The second step involves finding 3v, which is done by multiplying 3 with the given value for v, (3,-6).
The third step involves finding v-u, which is done by subtracting the given values for u and v, (3,-6).
The fourth step involves finding 2u + 5v, which is done by adding the given values for u and v and multiplying them by 5.
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The grades on a language midterm at Oak Academy are roughly symmetric with = 67 and 0 = 2.5. Ishaan scored 70 on the exam. Find the z-score for Ishaan's exam grade. Round to the nearest tenth.
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Answer: 1.2
Step-by-step explanation:
Let X denotes the grades on a language midterm at Oak Academy.
As per given ,
X follows normal distribution ( because it has symmetric graph)
\(\mu=67,\ \ \ \ \sigma= 2.5\)
Formula for z : \(z=\dfrac{X-\mu}{\sigma}\)
For X = 70, we have
\(z=\dfrac{70-67}{2.5}=\dfrac{3}{2.5}=1.2\)
Hence, the z-score for Ishaan's exam grade = 1.2
z-scores are the corresponding standard normal variate's values for normal variates' values. The z-score for Ishaan's grade is 1.2
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
\(X \sim N(\mu, \sigma)\)
(X is following normal distribution with mean \(\mu\) and standard deviation \(\sigma\) )
then it can be converted to standard normal distribution as
\(Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)\)
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
\(P(Z \leq z) = P(Z < z) )\)
Also, know that if we look for Z = z in z tables, the p-value we get is
\(P(Z \leq z) = \rm p \: value\)
For the given case, if we suppose the random variable X's values as scores of the grades on given language midterm at Oak Academy, then, as it is symmetric around value 67, with σ = 2.5, thus,
\(X = N(\mu = 67, \sigma = 2.5)\)
Its given that Ishaan scored X = 70
The standard normal variate conversion of X is given by:
\(Z = \dfrac{X- \mu}{\sigma} = \dfrac{X - 67}{2.5}\)
Thus, z-scores for Ishaan's score is: \(Z = \dfrac{70 - 67}{2.5} = \dfrac{3}{2.5} = 1.2\)
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Which statement is true regarding the graphed functions
f(4)=g(4)
F(4)=g(2)
F(2)=g(-2)
F(-2)=g(-2)
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When you are on the other side of the = you are opposite.
you are given the following information about an ar(1) model with mean 0: rho(2) = 0.215, rho(3) = −0.100, xt = −0.431. question: calculate the forecasted value of xt 1.
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The forecasted value of xt1 in the given AR(1) model with a mean of 0, rho(2) = 0.215, rho(3) = -0.100, and xt = -0.431 is -0.073.
The AR(1) model is defined as xt = ρ * xt-1 + εt, where ρ is the autocorrelation coefficient and εt is the error term. In this case, the autocorrelation coefficient rho(2) = 0.215 is the correlation between xt and xt-2, and rho(3) = -0.100 is the correlation between xt and xt-3.
To calculate the forecasted value of xt1, we need to substitute the given values into the AR(1) equation. Since xt is given as -0.431, we have:
xt = ρ * xt-1 + εt
-0.431 = 0.215 * xt-1 + εt
Solving for xt-1, we find:
xt-1 = (-0.431 - εt) / 0.215
To calculate xt1, we substitute xt-1 into the AR(1) equation:
xt1 = ρ * xt-1 + εt+1
xt1 = 0.215 * [(-0.431 - εt) / 0.215] + εt+1
xt1 = -0.431 - εt + εt+1
Since we do not have information about εt or εt+1, we cannot determine their exact values. Therefore, the forecasted value of xt1 is -0.431.
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HELP ASAP 61/35 as a mixed number
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Answer:
1 26/35
Step-by-step explanation:
61/35 =
1 26/35
Hope that helps!
Answer:
1 26/35
Step-by-step explanation:
So there is 1 whole number and 26/ 35
i don't know if that helps but thats helps but that's the answer
HV Homework: Section 15.1 Homework Question 4, 15.1.24 Find the domain of the following function. h(x,y)= /X-8y +6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. {(x,y): x*y} O B. {(x,y) ** and ył }(Use a comma to separate answers as needed.) O C. {(x,y): XS } OD. {(x,y): x2] O E. R2
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Find the domain of the following function:
h(x,y) = √(x-8y+6).The given function is h(x,y) = √(x-8y+6).
This is a real-valued function whose value is a real number and not an imaginary number.
Therefore, to find the domain of this function,
we need to find the values of x and y for which h(x,y) is a real number and not an imaginary number.
The value inside the square root, i.e., x - 8y + 6 should be non-negative, i.e., x - 8y + 6 ≥ 0.x - 8y + 6 ≥ 0 ⇒ x ≥ 8y - 6
Therefore, the domain of the given function is {(x,y) : x ≥ 8y - 6}.
Therefore, option (C) is the correct choice.
The domain of the function is {(x,y) : x ≥ 8y - 6}.
In summary, the domain of the given function h(x,y) = √(x-8y+6) is {(x,y) : x ≥ 8y - 6}.
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ANSWER NOW AND U GET !5 and ill answer one of urs
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Solve for x in the following equation.
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An equation is formed of two equal expressions. The value of x in the given exponential equation is 10. The correct option is 10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
In the given exponential equation \(5^{x-2}=5^8\), It can be observed that the base of both the sides of the equation is the same, therefore, 5. Therefore, the equation can be written as,
\(5^{x-2}=5^8\)
Since the base on both the sides are the same, comparing the exponential values on both sides,
x - 2 = 8
x = 8 + 2
x = 10
Hence, the value of x in the given exponential equation is 10.
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What is the solution of the equation 2/3 + 5x/3= 9 ?
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Answer:
x=5
Step-by-step explanation:
multipy both sides of the equation by 3 to remove the denominator becomes
2+5x=27
subtract 2 from both sides since it's positive
5x=25
divide 5 from both sides
x=5
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the equation that represents the canned goods order is 24x+64y=384
x= number of minutes fruit cans
y= number minutes of for vegetable cans
explain how to calculate the x- and y- intercepts
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The x-intercept is (16, 0) and y- intercept is (0, 6).
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given: 24x+64y=384
For y- intercept, put x=0
Then,
24*0+64y=384
64y= 384
y= 6
Now, for x- intercept put y=0
Then,
24x+64*0=384
24x= 384
x= 15
Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).
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Answer:
Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).
Step-by-step explanation:
Find the volume of the triangular prism.
5 ft
20 ft
12 ft
V = [?] ft
area of base
Volume of Prism Boh
![Find the volume of the triangular prism.5 ft20 ft12 ftV = [?] ftarea of baseVolume of Prism Boh](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Vn3rIdw1gLjUhgtDLTOxBhwMG4MPl6gx.png)
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Answer:
600 feet cubed
Step-by-step explanation:
Multiply the lengths together then divide by 2
5 x 20 x 12 = 1200
1200/2 = 600
8) At the end of a day, Shawn found that the total cash register receipts at the store
where he works amounted to $9558.60. This included the 7.4% sales tax charged.
Find the amount of the actual sales.
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Answer:
$8900.00
Step-by-step explanation:
9558.60÷(1+7.4%)=8900.00
An ordered pair is a(n) ________ of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
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An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.
When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.
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Ellie and Andrea make ribbon jewelry for
friends. They need lengths of ribbon
between 7.5 inches and 8.5 inches to make
a bracelet. Which of the following names a
ribbon length they can use for the bracelet?
7.5
8.0
++++
8.5
7.45 inches
B 8.55 inches
C 7.99 inches
D 8.99 inches
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The correct answer is: c) 7.99 inches. Ellie and Andrea need ribbon lengths between 7.5 inches and 8.5 inches to make a bracelet. Given the options, they can use a ribbon length of 8.0 inches (C 7.99 inches) for the bracelet, as it falls within the required range.
The ribbon length that Ellie and Andrea can use for the bracelet is 8.0 inches. This is because the length of ribbon needed for the bracelet falls between 7.5 inches and 8.5 inches, and 8.0 inches falls within this range. The other options, such as 7.45 inches, 8.55 inches, 7.99 inches, and 8.99 inches, do not fall within the required range and therefore cannot be used for the bracelet.
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Mark has an art gallery. He sells paintings for $150 each. It only cost Mark $20.00 to create the paintings. What is Mark's gross profit margin?
[?]%
Round to the nearest whole number.
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Answer:
Step-by-step explanation:
45
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
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Answer:
B
Step-by-step explanation:
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Luis’s, because he flipped the inequality sign when he subtracted
(-2)+3
Please help me
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Answer:
The answer is 1
Step-by-step explanation:
Brainliest PLEASE!?!?! :)
Enjoy your day :)
At City Burger, 4 of the last 8 customers wanted cheese on their burgers. What is the experimental probability that the next customer will want cheese on his or her burger?
help fast please!!!
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What is the difference between the answers when numbers are switched in a subtraction?
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during the last year the value of your house decreased by 20%. if the value of your house is $184,000 today, what was the value of your house last year? round your answer to the nearest cent, if necessary .
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Answer:
The last year value of the house will be $230,000.
Step-by-step explanation:
GIVEN: Decrease in house price = 20%
Current house price = $184,000
TO FIND: Value of the house last year
SOLUTION:
If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.
Let the value of the house last year be 'x'.
If the value of the house today is $184,000, then:
\(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)
Therefore, the last year value of the house will be $230,000.
0.3x – 1.2 = 0.1X + 2.8
x = -8
x = 8
x = 10
x = 20
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Answer:
x = 20
Step-by-step explanation:
Is X^3 + Y^3 = (X+Y)^3?
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Answer:
Step-by-step explanation:
\(x^3+y^3\neq (x+y)^3\\\\\boxed {x^3+y^3=(x+y)*(x^2-xy+y^2)}\)
\(\boxed {(x+y)^3=x^3+3x^2y+3xy^2+y^3}\)