Answers
Answer:
The choice C.
[tex] {x}^{ \frac{5}{2} } [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = \frac{ {x}^{3} }{ {x}^{ \frac{1}{2} } } = {x}^{3} \times {x}^{ - \frac{1}{2} } \\ = {x}^{3 \times - \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
Or ;
[tex] \frac{ {x}^{3} }{ \sqrt{x} } = {x}^{2} \sqrt{x} = {x}^{2} \times {x}^{ \frac{1}{2} } \\ = {x}^{2 + \frac{1}{2} } = {x}^{ \frac{5}{2} } [/tex]
Related Questions
Adnan began with a number. he divided his number by 2, subtracted 6 from the quotient, took the square root of the difference, added 1 to the square root, and took the square root of the sum. his final result was 3. what was adnan's original number
Answers
Answer:
140
Step-by-step explanation:
To solve this, we must reverse all the steps Adnan took to get the final number of 3.
If the last thing he did was take the square root, we need to square 3 to get the result. [tex]3x^{2} =9[/tex], so the sum they are referring to in the prompt is 9.
Before that, it says he added 1, so we need to subtract 9-1=8 to get the previous number.
It says that he took the square root before that, so we need to square 8 to get [tex]8x^{2} =64[/tex].
It says that he subtracted 6 to get this number, so we have to add 6 to get[tex]64+6=70[/tex].
Since the first thing Adnan did was divide his number by 2, we must multiply 70 by 2 to get Adnan's original number: [tex]70*2=140.[/tex]
Adnan's original number was 140.
Hope this helps! :)
It's giving me an error whenever I type the question, so might as well just do this.
Answers
Answer:
Here is the answer...hope it helps:)
In ΔOPQ, o = 500 cm, p = 600 cm and q=380 cm. Find the measure of ∠P to the nearest 10th of a degree.
Answers
The measure of ∠P to the nearest 10th of a degree is 84.8°
Law of CosinesFrom the question, we are to determine the measure of ∠P
From the law of cosines, we can write that
[tex]cos \ P=\frac{o^{2}+q^{2}-p^{2} }{2oq}[/tex]
From the given information,
o = 500 cm
p = 600 cm
q = 380 cm
Putting the parameters into the formula, we get
[tex]cos \ P=\frac{500^{2}+380^{2}-600^{2} }{2\times 500 \times 380}[/tex]
[tex]cos \ P =\frac{34400}{380000}[/tex]
[tex]cos \ P =0.0905[/tex]
P = cos⁻¹(0.0905)
P = 84.8076
P ≅ 84.8°
Hence, the measure of ∠P to the nearest 10th of a degree is 84.8°
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Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line. 5x + 15< 60
Answers
The solution to the given inequality is x < 9
What are inequality
Inequality are expressions not separated by an equal sign, Given the inequality
5x + 15< 60
Subtract 15 from both sides
5x < 60 - 15
5x < 45
Divide both sides by 5
5x/5 < 45/5
x < 9
The number line that describes the solution is attached
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How to find x for −x/8 < 1.5
Answers
Answer:
x>-12
Step-by-step explanation:
We want to the equation so that x is the only thing on the left-hand side.
-x/8 < 1.5 (multiply both sides by 8)
-x < 12
Now, whenever you multiply or divide by a negative when dealing with an inequality, you have to switch the sign.
x > -12.
Triangle ABC is rotated 180 degrees about the origin. Describe the relationship between the corresponding angles of triangle ABC and its image
Answers
The corresponding angles of triangle ABC and its image are congruent
How to determine the relationship?The transformation rule is given as:
A rotation of 180 degrees about the origin
The rotation transformation is a rigid transformation.
This means that it does not alter the side lengths and the angle measure of the shape being rotated
Hence. the corresponding angles of triangle ABC and its image are congruent
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Find the quadratic equation with integral coefficients having roots 6 and 2.
Answers
The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
How to determine the quadratic equation?The roots are given as:
x = 6 and x = 2
Rewrite as:
x - 6 = 0 and x - 2 = 0
Multiply both equations
(x - 6)(x - 2) = 0 * 0
Evaluate the product
x^2 - 6x - 2x + 12 = 0
Evaluate the difference
x^2 - 8x + 12 = 0
Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0
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Students in a math class recorded the number of text messages they received the previous day. how many students received at least 10 messages?
Answers
Answer:
14 students
Step-by-step explanation:
You didn't include a graph, so I looked up the question to find the graph you are likely talking about.
If this graph does not match, ignore my answer (although the question is exactly the same so I'm guessing it might be the same)
{even if different , conceptually, here is what you do: }
Receiving at least 10 messages includes those who receive 10 messages.
Each X represents 1 student. So, 3 students received exactly 10 messages.
3 (who received 10)
2 (who received 15)
4 (who received 20)
5 (who received 25)
+________
14 students
14 students received ≥ 10 messages
(≥ means greater than or equal to,
< is less than (less < more)
> is greater than (more > less)
the line under includes the value _ (same or more ≥ than this value ; same or less ≤ than this value)
hope this helps you !!
Hi, I'm in 7th grade and I'm about to fail Mathematics. Please help me...
x+7=5
Answers
Answer:
x=-2
Step-by-step explanation:
x+7=5
To find x, we subtract 7 from both sides, to get x+7-7=5-7
x=5-7
x=-2
Hope this helped!
Answer:
x = -2
Step-by-step explanation:
in order to find x u need to subtract 7 from 5 to get -2. therefore your answer is -2
The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
°
Answers
Answer:
1080
Step-by-step explanation:
Which of the following best describes AD?
OA. Angle bisector
OB. Perpendicular bisector
OC. Median
OD. Altitude
B
17
D
17
C
Answers
Answer:
see the attachment photo!
just comment here if you need help
The best description about the line AD is,
⇒ Perpendicular bisector
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle ABC is shown in figure.
Now, We have by figure;
BD = 17
DC = 17
Hence, We can say that;
Line AD is Perpendicular bisector of line BC.
Thus, The best description about the line AD is,
⇒ Perpendicular bisector
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PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
H
Step-by-step explanation:
every "|" is equal to 0.1
so you count 5 points which will get you to H which is 0.5
4. Mr. A has 3 acres of land. He gave 1 % acres of land to his friend. How many acres of land does Mr. A have now?
Answers
Answer:
1% given away means 1/100 × 3= 0.03
therfore what is left is : 3-0.03= 0.97
Answer:
1% means 1/100, so 1% of 3 acres of land = 1/100×3 = 3/100 or 0.03 acres of land. Since he gave 0.03 acres of land away, Mr A has 3-0.03 = 2.97 acres of land
im wondering what is 4.3 x 2.9
Answers
Answer:
[tex]\frac{1247}{100}[/tex], or 12.47
Step-by-step explanation:
I looked this up on my scientific calculator. I hope this helps! :)
PLEASE ANSWER THE PHOTO, BELLOW ILL GIVE HIGH RANK TYSM :}}}}}PLEASE MAKE SURE THEY ARE CORRECT :DDD
Answers
Answer:
a) 15:7
b) 1950 ml
c) There were 10 people in the group
Step-by-step explanation:
a) In its basic form, the ratio would be 750:350. However, to get it to it's most basic form, we must find the greatest common factor (GCF) of 750 and 350, which is 50. Then, we divide both numbers by the GCF so that 750 is 15 and 350 is 7. Therefore, the basic form of the ratio is 15:7.
b) First, we can find the amount of chicken stock needed for 12 people, which is just double of the recipe since the recipe is for 6 people. (900 * 2 = 1800). Then, we need to figure out how much chicken stock is required for one person since there are 13 and not 12. We can do this by multiplying 900 by 1/6 (since it's for 1 person out of the 6 people recipe) to get 150. Then, add the amount of chicken stock needed for 12 people and 1 person together. 1800 + 150 = 1950.
c) First, we must figure out how many grams of leeks are required for just one person. We can do this by taking the amount needed in the recipe (for 6 people) and dividing it by 6 to get the amount needed for 1 person. 750 divide by 6 is 125, so 125 g of leeks are required to make soup for 1 person. Then, we take the total amount of leeks that Delia used (1250) and divide that by 125 to get 10.
A principal of $3200 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 13 years?
Answers
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3200\\ r=rate\to 7.75\%\to \frac{7.75}{100}\dotfill &0.0775\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &13 \end{cases} \\\\\\ A=3200\left(1+\frac{0.0775}{1}\right)^{1\cdot 13}\implies A=3200(1.0775)^{13}\implies A\approx 8444.51[/tex]
There are 4 quarters, 5 nickels and 3 dimes in a jar. One coin is randomly drawn,
replaced and then another coin is drawn.
What is the probability of getting a quarter then a nickel?
5/36
9/12
9/144
1/5
Answers
Answer:
[tex]\displaystyle\frac{5}{36}[/tex]
Step-by-step explanation:
Probability is used to find how likely an outcome is to happen. Probability can be expressed as a fraction with the total outcomes as the denominator and the number of successful outcomes (what you want to happen) as the numerator.
Sample Size
The sample size is the number of possible outcomes. In this case, the sample size will be the total number of coins. To find the sample size we need to add together all of the coins.
4 + 5 + 3 = 12This means that the sample size is 12. For this type of probability, the sample size will serve as the denominator for each probability.
Replacement
In the question, it is stated that coins are replaced. This means that the sample size will not change at any point. So, the denominator will be the same for every probability.
Creating Probability Fractions
We are looking for the probability of getting a quarter and nickel, so we need to find the fractions that represent both situations.
First, let's find the quarter. As stated in the first paragraph, the number of successful outcomes is the numerator. There are 4 quarters, so 4 is the number of successful outcomes. Therefore, 4 will be the numerator. Then, 12 will be the denominator because 12 is the sample size.
[tex]\displaystyle\frac{4}{12}[/tex]Next, we need to find the probability of a nickel. Since there are 5 nickels, there are 5 successful outcomes. Then, the sample size is still 12 because there is replacement.
[tex]\displaystyle\frac{5}{12}[/tex]Complex Probability
Now we have the probability of both a quarter and nickel alone. However, this question asks about the probability of both, so this is an example of complex probability. To find complex probability, you have to multiply each probability together.
[tex]\displaystyle\frac{4}{12} *\frac{5}{12}=\frac{20}{144}[/tex]To reach the final answer we have to simplify the answer.
[tex]\displaystyle\frac{20}{144} =\frac{5}{36}[/tex]This means that the probability of pulling a quarter and then a nickel is 5/36.
1.How many more pupils go to school by tricycle than bicycle?
A.4
B.5
C.3
D.2
2.what is the total number of pupils in grade 6 Simplicity?
A.33
B.28
C.29
D.30
3.what fraction of the pupil in grade 6 Simplicity walk to school?
A.8/33
B.12/33
C.10/33
D.3/33
4.what percentage of the pupil goes to school by walking?
A.24%
B.33%
C.9%
D.36%
Answers
A. 33
B. 12/33
D. 36%
A supermarket customer has paid a total of 156 l for 24 L of milk, 6 kg of Serrano ham and 12 L of olive oil. Calculate the price of each item, knowing that a liter of oil costs three times more than a liter of milk and that a kilogram of ham costs the same as buying 4 L of oil plus 4 L of milk.
Answers
Let x, y, z denote the costs of milk, Serrano ham, and olive oil, respectively. Form the related system of equations and solve.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} 24x+6y+12z =156 \\ \ \qquad \qquad \quad \ z=3x \\ \qquad\ 4x+4z=y \end{matrix}\right.\ \Longrightarrow\ y=16x } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ 156=24x+6(16x)+12(3x)=156x\Longrightarrow x=1 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ y= 16\qquad z=3 } \end{gathered}$}[/tex]
Milk costs 1 a liter, Serrano ham 16 a kilogram and olive oil 3 a liter.
Solve for for x:
3x - 2 > 5x + 10
a. X> 6
b. x < 6
c. x < -6
d. X > -6
Answers
Answer:
[tex]x < -6[/tex]
Step-by-step explanation:
[tex]~~~~~~3x-2 > 5x+10\\\\\implies 5x+10 < 3x-2\\\\\implies 5x < 3x-2-10\\\\\implies 5x < 3x-12\\\\\implies 5x-3x < -12\\\\\implies 2x < -12\\\\\implies x < -\dfrac{12}2\\\\\implies x < -6[/tex]
Simplify the expression.
8 -4
x y
x−6y-6
Write your answer without negative exponents.
Enter the correct answer
Answers
Answer:
8 - 4x^2y - 6y^6
Step-by-step explanation:
If the exponent is a positive integer it's equivalent to the base multiplied by itself n times. If the exponent is O, the expression is evaluated as 1. If the exponent is a negative integer it's equivalent to 1 divided by the base multiplied by itself n times.
If the exponent is a rational expression, n/ m, it's equivalent to the mth root of the base raised to thenth power.
i need ur help so bad omg
Answers
i love you when you call me se
A telephone company charges a $0.25
connection fee, then $0.10 per minute for
long distance calls. Which statement is
true regarding this situation?
Answers
The value of a dependent variable is dependent on the value of an independent variable. The correct option is C.
What are independent and dependent variables?Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.The variables who take their values based on some other variables' values are called dependent variables.The complete question is:
A telephone company charges a $0.25 connection fee, then $0.10 per minute for long distance calls. Which statement is true regarding this situation?
A. The rate of change is $0.25 and minutes are the independent variable.
B. The rate of change is $0.25 and minutes are the dependent variable.
C. The rate of change is $0.10 per minute and minutes are the independent variable
D. The rate of change is $0.10 per minute and minute are the dependent variable.
The cost of making a call is the sum of the cost of connection fee which is one time fee and cost $0.25, and the cost charged for a minute which depends on the number of minute for which the call is been established. Therefore, the total cost can be written for a x minute call is,
Total Cost = $0.25 + $0.10(x)
Since the total cost is dependent on x, therefore, x which is the minute is the independent variable. The rate of change is $0.10 per minute and minutes are the independent variable.
Hence, the correct option is C.
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If you roll a dice four times, what is the chance that you roll a 2?
Answers
Answer:
about 51.77%
Step-by-step explanation:
The probability you will roll a 2 is the complement of the probability you will not roll a 2.
__
p(no 2)A die has 6 faces, one of which is labeled with 2. The probability of rolling a 2 on any given roll is 1/6, so is 1-1/6 = 5/6 that a 2 will not be rolled. Sequential rolls of the die are presumed to be independent, so the probability of 4 rolls not showing a 2 at any time is ...
p(no 2) = (5/6)^4 = 625/1296
p(2)The probability that at least one 2 will show up on at least one roll is the complement of this value:
p(some 2) = 1 -625/1296 = 671/1296 ≈ 0.517747
The chance you will roll at least one 2 is about 51.77%.
Fill in the missing number in this sequence:
{ } 216, 36, 6, 1
Answers
Answer:
1296
Step-by-step explanation:
times each number by 6
example: 1x6=6 6x6=36 36x6=216 216x6=1296
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to fill in the missing number in the sequence
[tex]\star~\mathrm{(~~),216,36,6,1}[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Take a look at the common ratio.Since every number is divided by 6, we need to multiply 216 times the common ratio, 6:
[tex]\star~\mathrm{216\times6}[/tex]
Simplify!
[tex]\star~\mathrm{1296}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
g(x)=-2x-5
what is g(-3)
a.1
b.6
c.-11
d.-6
Answers
Answer:
a. 1
Step-by-step explanation:
The question requires us to find the value of the function g(x) when x is -3.
g(x)= -2x -5
This means that for the function of g, when the input value is x, the output value is -2x -5.
For g(-3), x takes on the value of -3. We can thus evaluate the value of g(-3) by replacing x by -3 in the expression -2x -5.
g(-3)
= -2(-3) -5
= 6 -5
= 1
Therefore, a is the correct option.
Additional:
Here is another question on functions which you might wish to check out.
https://brainly.com/question/20922457What key features do the functions f(x) = 3x and g of x equals the square root of the x minus 3 end root have in common?
Both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.
Both f(x) and g(x) include domain values of [–3, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.
Both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions have a y-intercept in common.
Both f(x) and g(x) include domain values of [–3, ∞) and range values of (–∞, ∞), and both functions increase over the interval (–3, 0).
Answers
The key features are (a) both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.
How to determine the key featuresThe functions are given as:
f(x) = 3x
[tex]g(x) = \sqrt{x -3}[/tex]
Next, we enter the above equations in a graphing calculator.
From the graphing calculator, we have:
The domain of g(x) is [3,∞) and its range is [0,∞)The domain of f(x) is (-∞,∞) and its range is (0,∞)Both functions have positive values for their domainsBy comparing the above highlights, the true statement between functions g(x) and f(x) is option (a)
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what is the simple interest of $16000 interested for 5 years at 4% p.a?
Answers
Answer:
3200
Step-by-step explanation:
Simple interest = PRT/100
= (16000 × 5 × 4%\)/100
= 320000/100
= 3200
24 is 12% of what number?
Answers
Answer:
200
Step-by-step explanation:
(24 x 100) / 12
Answer = 200
To solve this problem you multiply 24 by 100 and then divide the total by 12 as follows: (24 x 100) / 12
PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!
If sinθ=1/3, what are the values of cosθ and tanθ?
Answers
Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:
[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex][tex]\tan{\theta} = \pm \frac{\sqrt{2}}{4}[/tex]What is the trigonometric identity using in this problem?The identity that relates the sine squared and the cosine squared of the angle, as follows:
[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]
In this problem, we have that the sine is given by:
[tex]\sin{\theta} = \frac{1}{3}[/tex]
Hence, applying the identity, the cosine is given as follows:
[tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex]
[tex]\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2[/tex]
[tex]\cos^2{\theta} = 1 - \frac{1}{9}[/tex]
[tex]\cos^2{\theta} = \frac{8}{9}[/tex]
[tex]\cos{\theta} = \pm \sqrt{\frac{8}{9}}[/tex]
[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex]
The tangent is given by the sine divided by the cosine, hence:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}[/tex]
[tex]\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}[/tex]
[tex]\tan{\theta} = \pm \frac{\sqrt{2}}{4}[/tex]
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