Answer:
B
Step-by-step explanation:
The equivalent expression is \(16x^{8}\). So, the correct option is B.
Given:
The given expression is:
\(4x^2\sqrt{5x^4}3\sqrt{5x^8},x\neq 0\)
To find:
The equivalent expression.
Explanation:
We have,
\(4x^2\sqrt{5x^4}3\sqrt{5x^8}\)
On simplification, we get
\(=4x^2(x^2\sqrt{5})3(x^4\sqrt{5})\)
\(=(4\times 3)(x^{2+2+4})(\sqrt{5}\times \sqrt{5})\)
\(=12(x^{8})(5)\)
\(=16x^{8}\)
Therefore, the correct option is B.
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The sides of a right-angled triangle are in the ratio 8:15:17. If the perimeter of the triangle is 160 cm, find the area.
Express 9.25. as a fraction in its simplest form
Answer:
9 1/4
Step-by-step explanation:
9.25-9=0.25
0.25 =1/4
9 1/4
can someone help please?
Answer:
x = 54
Step-by-step explanation:
In this line, I am going to assume lines l and m are parallel.
Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.
180 - 116 = 64.
The other angle's total value must be 64.
Now, to solve for x, subtract 10 from 64 [inverse operations].
64-10=54
The value of x in this equation is 54 degrees.
Evaluate the expression when b=4/5 and c=-3/8
2c-b
Answer:
-1/20
Step-by-step explanation:
2(3/8) - 4/5
6/8 - 4/5
30/40 - 32/40
-2/40
-1/20
4. The cost of pizzas at two different shops is shown in the graph and table
below. Choose the true statement from the choices below. *
Pizza Shop A
Pizza Shop B
Pizzas
Pizzas
Cost ($)
2.
11
3
16 50
Cost (dollars)
35
30
25
20
15
10
5
7
38.50
.
0 1 2 3 4 5 6 7 X
Number of pizzas
A. If you buy 2 pizzas at each shop, you will pay the same price
Answer:
I am not too sure but i think 6+5=11
Step-by-step explanation:
where 6 comes first then 11 comes second and that equals 11
a convention manager finds that she has $1320, made up of twenties and fifties. she has a total of 48 bills. how many fifty-dollar bills does the manager have?
The required manager has 12 fifty-dollar bills as of the given condition.
Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".
We know that the convention manager has a total of 48 bills, so:
x + y = 48
We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320
To solve for "y", we can rearrange the first equation to get:
y = 48 - x
Then substitute this expression for "y" in the second equation:
20x + 50(48 - x) = 1320
Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36
So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:
x + y = 48
36 + y = 48
y = 12
Therefore, the manager has 12 fifty-dollar bills.
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George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during the 51 blinks?
Dividing by zero is an example of which type of error?
Dividing by zero is an example of an arithmetic error.
It is undefined to divide any number by zero, which is why it is considered an error.
About arithmetic errorIn general, any operation that results in an invalid mathematical expression is considered an arithmetic error.
Other examples of arithmetic errors include taking the square root of a negative number or raising a negative number to a fractional exponent.
These errors are generally caused by attempting to perform mathematical operations that are not defined or that violate the rules of algebraic manipulation.
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Answer:
run-time error or arethmeatic error
Step-by-step explanation:
A divide by zero operation is not a defined operation and thus the program at runtime does not have equivalent valid code that can be executed and hence it throws a run-time error.
Help i dont get this one ASAP
The number of ways is 1 billion.
We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.
In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.
Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.
Hence the number of ways is 1 billion.
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Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *
a,38.29
b.27.29
c.0.55
d.0.45
. How many days will it take for $9500 to earn $800 at 8.25% p.a.?
It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:
Interest = Principal * Rate * Time
In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.
Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).
$800 = $9500 * 0.0825 * (t / 365)
Simplifying the equation:
800 = 9500 * 0.0825 * (t / 365)
Divide both sides by (9500 * 0.0825):
800 / (9500 * 0.0825) = t / 365
Simplify the left side:
800 / (9500 * 0.0825) ≈ 0.1083
Now, solve for t by multiplying both sides by 365:
0.1083 * 365 ≈ t
t ≈ 39.532
Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.
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Choose the best estimate for the multiplication problem below 32.02x9.07
270
410
200
The best estimate for the multiplication problem 32.02 x 9.07 is 270, although it may not be an exact match to the actual result. option(a)
To find the best estimate for the multiplication problem 32.02 x 9.07, we can round each number to the nearest whole number and then perform the multiplication.
Rounding 32.02 to the nearest whole number gives us 32, and rounding 9.07 gives us 9.
Now, we can multiply 32 x 9, which equals 288.
Based on this estimation, none of the options provided (270, 410, or 200) are exact matches. However, the closest estimate to 288 would be 270.
It's important to note that rounding introduces some level of error, and the actual result of the multiplication would be slightly different. If precision is crucial, it's best to perform the multiplication using the original numbers. option(a)
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Given: p: 2x = 16 q: 3x – 4 = 20 which is the converse of p → q? if 2x ≠ 16, then 3x – 4 ≠ 20. if 3x – 4 ≠ 20, then 2x ≠ 16. if 2x = 16, then 3x – 4 = 20. if 3x – 4 = 20, then 2x = 16.
If 3x – 4 = 20, then 2x = 16. Then the correct option is D.
What is the converse statement?A converse claim is one that is derived by flipping the assumption and result of a predicate.
The condition will be
If p → q, then q → p.
The expressions are given below.
p: 2x = 16 q: 3x – 4 = 20
Then the converse of p → q will be
If 3x – 4 = 20, then 2x = 16.
Then the correct option is D.
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Answer: The correct answer is option 4 or D. If 3x – 4 = 20, then 2x = 16.
Step-by-step explanation:
I got it right on Edge Test.
a. (5) The demand function for a good X is Qx= m-3Px+2Py, where m is income, Px is the price of X, Py is the price of a related good Y and Qx is the demand for X. Income and prices are all positive. X
The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.
The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.
To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.
Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.
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for conducting a two-tailed hypothesis test with a certain data set, using the smaller of n11 and n21 for the degrees of freedom results in df11, and the corresponding critical values are t2.201. using the formula for the exact degrees of freedom results in df19.063, and the corresponding critical values are t2.093. how is using the critical values of t2.201 more conservative than using the critical values of 2.093?
Using the critical values of t=+/-2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of +/-2.093.
Critical Value Definition -
Critical value can be defined as a value that is compared to a test statistic in hypothesis testing to determine whether the null hypothesis is to be rejected or not.
If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.
Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability \alpha if the null hypothesis is true.
Using the critical values of t=±2.201 is more "conservative" than using the critical value of ±2.093 because it is more likely to reject the null hypothesis using the greater value i-e t=±2.201.
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in a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the ___________ come from a normal distribution.
The answer to the given fill in the blanks is "Residual". in a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the Residual come from a normal distribution.
In linear regression, we make several assumptions about the relationship between the predictor variable and the response variable. One of these assumptions is that the residuals (the differences between the predicted values and the actual values) follow a normal distribution with a mean of zero and constant variance. To check this assumption, we can create a normal quantile plot of the residuals. A normal quantile plot is a graphical method that compares the distribution of the residuals to a normal distribution. If the residuals are normally distributed, the plot should follow a straight line. If the plot deviates from a straight line, it suggests that the residuals are not normally distributed. A non-normal distribution of residuals can have several implications, such as indicating the presence of outliers or influencing the accuracy of the model’s prediction. Therefore, checking for normality of residuals is a crucial step in evaluating the model's assumptions and determining whether the model is appropriate for the data.
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find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33
Answer:
x = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 3
f(x) = 33
Step 2: Solve for x
Substitute: 33 = 4x - 3Isolate x term: 36 = 4xIsolate x: 9 = xRewrite: x = 9Karen wants to place a lamp halfway between the
chairs at points C and D. How can she find the point
where the lamp should go?
Answer:
In D
Step-by-step explanation:
in d you can place the lamp there
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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a law firm is going to designate associates and partners to a big new case. the daily rate charged to the client for each associate is $500 and the daily rate for each partner is $1400. the law firm designated 3 times as many associates as partners to the case and was able to charge the client $5800 per day for these lawyers’ services. Determine the number of associates assigned to the case and the number of patented assigned to the case.
Answer:
there was 6 associates assigned to the case and 2 partners
Step-by-step explanation:
what i did was did 1400 times 2 and 500 times 6. then i did 6 divided by 3 which gave me 2. So there are 3 times more associates.
Hope this helped
On a 1/5 scale drawing of a car, one part is 8 inches long. How long will the actual car part be?
- 1/5 inch
-8/5
-5 inches
-40 inches
On a 1/5 scale drawing of a car, where one part measures 8 inches, the actual length of the car part will be 40 inches.
In a scale drawing, the ratio of the lengths on the drawing to the lengths of the actual objects is maintained. In this case, the scale is 1/5, which means that every inch on the drawing represents five inches in reality.
Given that one part on the 1/5 scale drawing measures 8 inches, we can calculate the actual length of the car part by multiplying the length on the drawing by the scale factor. So, 8 inches on the drawing multiplied by the scale factor of 5 gives us the actual length of the car part, which is 40 inches.
Therefore, the correct answer is 40 inches.
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Not p has a truth value of 1 minus p. P logical and q has a truth value equal to the minimum of p and q. P logical or q has a truth value equal to the maximum of p and q. P right arrow q has a truth value equal to the min of 1 and 1 minus p plus q. P left right arrow q has a truth value equal to 1 minus StartAbsoluteValue p minus q EndAbsoluteValue. Suppose the statement "p: The sun is shining" has a truth value of 0.57 and the statement "q: Mary is getting a tan" has a truth value of 0.08. Find the truth value of
yes jxjfnsuspfjidheagdkhrsojieeidhj
Need help with this. Plz! Thank you
A random sample of 900 13- to 17-year-olds found that 411 had responded better to a new drug therapy for autism. Let p be the proportion of all teens in this age range who respond better. Suppose you wished to see if the majority of teens in this age range respond better. To do this, you test the following hypothesesHo p=0.50 vs HA: p 0.50The chi-square test statistic for this test isa. 6.76
b. 3.84
c. -2.5885
d. 1.96
The p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.
The correct answer is not provided in the question. The chi-square test statistic cannot be used for testing hypotheses about a single proportion. Instead, we use a z-test for proportions. To find the test statistic, we first calculate the sample proportion:
p-hat = 411/900 = 0.4578
Then, we calculate the standard error:
SE = \(\sqrt{[p-hat(1-p-hat)/n] } = \sqrt{[(0.4578)(1-0.4578)/900]}\) = 0.0241
Next, we calculate the z-score:
z = (p-hat - p) / SE = (0.4578 - 0.50) / 0.0241 = -1.77
Finally, we find the p-value using a normal distribution table or calculator. The p-value is the probability of getting a z-score as extreme or more extreme than -1.77, assuming the null hypothesis is true. The p-value is approximately 0.0392.
Since the p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.
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State if the three numbers can be the measures of the sides of a triangle. Show your work
1) 7,2,6
2) 11,2,11
Answer: 2
Step-by-step explanation:
96÷3 full equation please thanks
Answer:
96 ÷ 3 = 32
Step-by-step explanation:
96 ÷ 3 is equivalent to 96 thirds
The goal of the equation is to find how many 3rds fit into 96.
One easy way to break 96/3 down is to first divide 90 by 3, which is 30.
Divide the remaining 6 by 3 to get 2
Add your two answers together and you get 32.
Solve the system using elimination. 3x – 4y = 9 –3x + 2y = 9
Answer:
X=9
Y=-9
Step-by-step explanation:
3x - 4y =9
-3x +2y=9 cross 3x and - 3x since they're opposite ــــــــــــــــــــــــ
-4y +2y =9 +9
-2y =18
Y =-18/2
Y= -9
Replace y in the first equation:
3x - 4 (-9)=9
3x +36=9
3x = 27
X= 27/3
X= 9
Hope this helps you.. Good luck
Answer:
x=-9 and y=-9
Step-by-step explanation:
Evaluate f(x) = 1.8 • 2x for x = 6
Answer:
f(x)=1.8 × 2(6)
=1.8 × 12
=216
f(x)=216A, B & C lie on a straight line. G, B & F lie on a different straight line. D, E & F lie on a straight line parallel to AC. DEB = 104°. GBA = 24°. Work out EBF.
The measure of angle EBF is 80° .
In the question ,
it is given that ,
point A, B and C lie on a straight line .
and G , B and F lie on a different straight line .
angle GBA = 24° so ,
GBA + GBC = 180° ...because linear pair
So , GBC = 180 - 24 = 156°
angle CBF = 24° ......because vertically opposite angles are equal .
from the figure , we see that angle GBC and angle ABF are vertically opposite angles , so ,
156° = ABE + EBF .....(1)
Since the line AC and DF are parallel and BE is the transversal
So , angle DEB + angle ABE = 180°
104° + ABE = 180°
ABE = 180-104
ABE = 76°
Substituting ABE = 76° in the equation (1) ,
we get ,
156 = 76+ EBF
EBF = 156 - 76
EBF = 80°
Therefore , The measure of angle EBF is 80° .
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Use the scale to help you solve the equation.