Write V–200 in simplest radical form.

Answer:

c'

Step-by-step explanation:

Answer:

=3/2

Step-by-step explanation:

Answer:

yes, if the labor takes 150 minutes (or 2h 30 minutes)

Step-by-step explanation:

m + 350 = 2m + 200

2m - m = 350 - 200

m = 150

A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.

The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.

Therefore, option B is the correct answer.

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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.

A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.

The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.

Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.

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The rational function in the simplest form of (f/g)(x)  is x / 5x - 2.

Composite functions are when the output of one function is used as the input of another. A typical example of a composite function is (f/g)(x).

Therefore, let's solve the rational function in the simplest form.

Hence,

f(x) = -x

g(x) = -5x + 2

(f/g)(x) = f(x) / g(x)

Therefore,

(f/g)(x) = - x / -5x + 2

Hence,

(f/g)(x) = - x / - (5x - 2)

Finally,

(f/g)(x) = x / 5x - 2

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The probability that a point chosen at random lies on the shaded region is given as follows:

4/7.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The area of the shaded region in this problem is given as follows:

4² = 16.

The total area of the figure is given as follows:

16 + 2 x 1/2 x 3 x 4 = 28.

Hence the probability is given as follows:

16/28 = 4/7.

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Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer:

  (3x +2w)/(2x -3w)

Step-by-step explanation:

The usual rules for adding and dividing fractions apply:

  (a/b) +(c/d) = (ad +bc)/(bd) . . . . . . . use a common denominator

  (a/b)/(c/b) = a/c . . . . . . . . . . . . same denominators "cancel"

__

  \(\dfrac{\dfrac{3}{w}+\dfrac{2}{x}}{\dfrac{2}{w}-\dfrac{3}{x}}=\dfrac{\dfrac{3x+2w}{wx}}{\dfrac{2x-3w}{wx}}=\boxed{\dfrac{3x+2w}{2x-3w}}\)

Answer:

x=5, y=-5.6

Step-by-step explanation:

-8x-10y=24

6x+5y=2

-8x-10y=24

2(6x+5y=2)

-8x-10y=24

12x+10y=4

4x=20

x=5

6x+5y=2

6(5)+5y=2

5y=2-30

y=-28/5

y=-5.6

x = 7

y = -8

replace x by value in function of y in equation 2 to compute y then compute x

Answer:  \(\frac{tv^3}{u^8}\\\\\\\)

This is the fraction tv^3 all over u^8

=========================================================

Work Shown:

\(\frac{t^2uv^7}{tu^9v^4}\\\\\\\frac{t^2}{t}*\frac{u}{u^9}*\frac{v^7}{v^4}\\\\\\t^{2-1}*u^{1-9}*v^{7-4}\\\\\\t^{1}*u^{-8}*v^{3}\\\\\\\frac{t}{1}*\frac{1}{u^8}*\frac{v^3}{1}\\\\\\\frac{t*1*v^3}{1*u^8*1}\\\\\\\frac{tv^3}{u^8}\\\\\\\)

In the third step, I used the rule (a^b)/(a^c) = a^(b-c)

To make the negative exponent turn positive, we apply the reciprocal to the base.

Answer:

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 300 Over 100 EndFraction = StartFraction 75

Step-by-step explanation:

Answer: (D)

Start Learning and Start Growing! edge2023!

*DROPS THE MIC*

Answer:

3√3v/3x V

Step-by-step explanation:

d/dt[32/3π, sin (tim), 3√3v/3x, V]

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

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Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

Answer:

Step-by-step explanation:

From the summary of the given data;

After the second dose, 137 of 452 subjects in the experimental group (group 1) experienced drowsiness as a side effect.

Let consider \(p_1\) to be the probability of those that experience the drowsiness in group 1

\(p_1\) = \(\dfrac{137}{452}\)

\(p_1\) = 0.3031

After the second dose, 31 of 99 subjects in the control group (group 2) experienced drowsiness as a side effect.

Let consider \(p_2\) to be the probability of those that experience the drowsiness in group 1

\(p_2\) = \(\dfrac{31}{99}\)

\(p_2\) = 0.3131

The objective is to be able to determine if the evidence suggest that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.05 level of significance.

In order to do that; we have to state the null and alternative hypothesis; carry out our test statistics and make conclusion based on it.

So; the null and the  alternative hypothesis can be computed as:

\(H_o :p_1 =p_2\)

\(H_a= p_1<p_2\)

The test statistics is computed as follows:

\(Z = \dfrac{p_1-p_2}{\sqrt{p_1 *\dfrac{1-p_1}{n_1} +p_2 *\dfrac{1-p_2}{n_2}} }\)

\(Z = \dfrac{0.3031-0.3131}{\sqrt{0.3031 *\dfrac{1-0.3031}{452} +0.3131 *\dfrac{1-0.3131}{99}} }\)

\(Z = \dfrac{-0.01}{\sqrt{0.3031 *\dfrac{0.6969}{452} +0.3131 *\dfrac{0.6869}{99}} }\)

\(Z = \dfrac{-0.01}{\sqrt{0.3031 *0.0015418 +0.3131 *0.0069384} }\)

\(Z = \dfrac{-0.01}{\sqrt{4.6731958*10^{-4}+0.00217241304} }\)

\(Z = \dfrac{-0.01}{0.051378 }\)

Z = - 0.1946

At the level of significance ∝ = 0.05

From the standard normal table;

the critical value for Z(0.05) = -1.645

Decision Rule: Reject the null hypothesis if Z-value is lesser than the critical value.

Conclusion: We do not reject the null hypothesis because the Z value is greater than the critical value. Therefore, we cannot conclude that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2

Answer:

Step-by-step explanation:

ABC is an isosceles triangle

Then

m∠ABC = m∠ACB

The sum of the interior angles of a triangle is equal to 180°

Then

m∠ABC + m∠ACB + m∠BAC = 180°

Then

m∠ABC + m∠ACB + 45 = 180°

Then

2 × m∠ABC = 180°

Then

m∠ABC = (180−45)÷ 2 = 67.5°

Law of SIN :

\(\frac{9}{\sin \left( 67.5\right) } =\frac{BC}{\sin \left( 45\right) }\)

\(BC=\frac{9}{\sin \left( 67.5\right) } \times \sin \left( 45\right) ==6.888301782572\)

Answer:

https://brainly.com/question/2574086b

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

Given two points, the equation of the line may be determined by,

                           y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)

Substituting the given values,

                               y - 7 = ((9 - 7) / (6 - 3))(x - 3)

Simplification will yield to an answer of,

                                    y = 2x/3 +5

Thus, the answer is the second choice.

a) There are 2^6 = 64 subsets total.

b)  There are 2^3 = 8 subsets total

c) There are 2^5 = 32 subsets total

d) There are 32^4 = 48 subsets total

e)  There are (6 choose 4) = 15 subsets total

f)   There are 32 = 6 subsets total

g) There are is (6 choose 4) - (3 choose 4) = 15 - 0 = 15 subsets total

h) There are (3 choose 1) * (3 choose 3) = 3  subsets total

a) There are 2^6 = 64 subsets total.

b)  Since we need to include elements 2, 3, and 5 in a subset, we have 3 elements fixed, and we need to choose 1, 2, or 3 elements from the remaining 3 elements (1, 4, and 6). Therefore, there are 2^3 = 8 subsets that contain the elements 2, 3, and 5.

c) There are 2^5 = 32 subsets that contain at least one odd number. This can be seen by noticing that if a subset does not contain any odd numbers, then it must be {2,4,6}, which is not a valid subset since it does not satisfy the condition that it be a subset of S.

d) There are 32^4 = 48 subsets that contain exactly one even number. To see why, notice that there are 3 choices for which even number to include (2, 4, or 6), and then there are 2^4 = 16 choices for which of the remaining 4 odd numbers to include in the subset.

e) There are (6 choose 4) = 15 subsets of cardinality 4. This is the number of ways to choose 4 elements from a set of 6.

f) Since we need to include elements 2, 3, and 5 in a subset of cardinality 4, we have 3 elements fixed, and we need to choose 1 element from the remaining 3 even elements, and 1 element from the remaining 2 odd elements. Therefore, there are 32 = 6 subsets of cardinality 4 that contain the elements 2, 3, and 5.

g) The number of subsets of cardinality 4 that contain at least one odd number is equal to the total number of subsets of cardinality 4 minus the number of subsets of cardinality 4 that contain only even numbers. This is (6 choose 4) - (3 choose 4) = 15 - 0 = 15.

h) The number of subsets of cardinality 4 that contain exactly one even number is equal to the number of ways to choose 1 even number out of 3, and then the number of ways to choose 3 odd numbers out of 3. This is (3 choose 1) * (3 choose 3) = 3.

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Answer:

B

Step-by-step explanation:

14t +22m+100

There's no number of hours

The expression of Jay earned in total is;

14m + 22t + 100

Here,

On Monday, Jay earned $14 per hour for m of hour.

On Thursday, Jay earned $22 per hour for t hour of work.

He also got a $100 bonus.

We have to find the expression of Jay earned in total.

What is Mathematical expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Now,

On Monday,  Jay earned $14 per hour for m of hour.

Total earned on Monday = $14m

On Tuesday, Jay earned $22 per hour for t hour of work.

Total earned on Tuesday = $22t

He also got a $100 bonus.

Hence, Total earned = 14m + 22t + 100

So, The expression of Jay earned in total is;

⇒ 14m + 22t + 100

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An equation representing the total number of donuts in the jumbo bag of Millicent's Mini Donuts that Malia and her friends bought at the fair is d = 12 x 5.

An equation is a mathematical statement that show that two or more mathematical expressions are equal or equivalent.

An equation is more than a mathematical expression.  

A mathematical expression combines variables, constants, numbers, and values using mathematical operands.

The number of Malia's friends and napkins = 12

The number of donuts in each napkin = 5

The total number of donuts in the jumbo bag = 12 x 5

An equation to find the total number of donuts, d, in the jumbo bag is d = 12 x 5.

12 x 5 = 60

Thus, the correct equation to find the number of donuts in the jumbo bag is d = 12 x 5.

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Answer:

19v - 18

Step-by-step explanation:

Hello!

v - 6(-3v + 3)

Distribute the -6

-6 * -3v = 18v

-6 * 3 = -18

v + 18v -18

Combine like terms

19v - 18

The answer is 19v - 18

Hope this helps!

Answer:

V=6;v=1

Step-by-step explanation:

(V-6)(-3v+3)

-3v^2+3v+18v-18

-3v^2+21v-18

Multiple it by minus one we will get

3v^3-21v+18

Now breaking by midterm

3v^2-18v-3v+18

3v(v-6)-3(v-6)

(V-6)(3v-3)

V=6;v=1

Answer:

36

Step-by-step explanation:

Equation:

8(3) + 2(6)

Multiply the co effficent by the variable

8 x 3

8x6

After you add, you get the answer 36.

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer:

15 nickels were there with Alexis

Step-by-step explanation:

Let there be  x nickels

given that

The number of dimes is 5 less than twice the number of nickels.

no of dimes in terms of x = 2*number of nickels - 5 = 2x - 5

we know that

value of 1 nickel = 5 cents

then

value of x nickel = 5*x cents = 5x cents

we know that

value of 1 dime = 10 cents

then

value of 2x-5 dime = 10(2x - 5)  cents = 20x - 50 cents

Total value of x nickel and 2x -5 dimes = 5x + 20x - 50 = 25x - 50

given that

Alexia has total of  $3.25 in nickel and dimes thus  25x - 50 must be equal to $3.25

$1 = 100 cents

$3.25 = 3.25 * 100 cents = 325 cents

Thus,

25x - 50 = 325

25x = 325 + 50 = 375

x = 375/25 = 15

Thus, no of nickels = x = 15  answer

Answer:

√66

Step-by-step explanation:

From the Euclidean theorem x^2 = 6 × 11

x^2 = 66

x = √66

The value of f(1) by using the attached graph is f(1) = -2.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

The graph shown in the question is representing the function value,

To find f(1) = ?

The value of f(1) will be equal to the value of x as the graph is linear so,

f(1) = value of y at x = 1

value of y at x = 1 = -2  (From the graph)

Thus, f(1) = -2.

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Let angle 4 denote the angle adjacent to angle 3 on the right side (so between lines a and b, to the right of line c). Angles 3 and 4 are then supplementary.

Lines a and b are parallel, so angles 1 and 4 are congruent because they are alternating interior angles.

By the transitive property, angles 2 and 4 are also congruent.

Again, transitively, angles 2 and 3 are supplementary.

Let angle 5 denote the angle to the left of angle 2 (between a and b, to the left of d). Angles 5 and 2 are supplementary.

Transitively, angles 5 and 3 are congruent.

These two angles correspond to one another, so lines c and d are parallel.