Where is the zero of a function?.

The value of the expression is 4√3

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, [tex]\sqrt{8}\cdot\sqrt{6}[/tex]

On solving we get

[tex]\sqrt{8}\cdot \sqrt{6}= \sqrt{48\\} \\=\sqrt{48} \\\\= \sqrt{16.3} \\\\=4 \sqrt{3}[/tex]

Hence, the value of the expression is 4√3

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Answer:

$800.516

Step-by-step explanation:

We use the equation

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

P = principal

r = rate of interest

t = times

Now let's solve

P = $500

r = 4% = 0.04

t = 12 years

A = $500(1 + [tex]\frac{0.04}{12}[/tex] ) ^12 = $800.516

Answer:

y = 10x + 20.

Step-by-step explanation:

Slope of the line = (60-30) / (4 - 1)

                            = 30/3

                            = 10

y-intercept = 20

Formula is y = mx + c where m = slope and c = y-intercept

So, the answer is y = 10x + 20.

All possible solutions for the inequalities are from 2.5 to infinity.

Option F is the correct answer.

All possible solutions for the problem situation are 2.5 to 8.

Option D is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

27 ≤ 12 + 6x

Solve for x.

27 - 12 ≤ 6x

15 ≤ 6x

x ≥ 15/6

x ≥ 5/2

x ≥ 2.5

This means,

x values can be 2.5 and more.

Now,
For x = 8,

12 + 6 x 8

= 12 + 48

= 60 gallons (possible)

For x = 9,

12 + 6 x 9

= 12 + 54

= 66 gallons (not possible)

Since the maximum gallon the pool can contain is 60 gallons.

Thus,

All possible solutions for the inequalities are from 2.5 to infinity.

All possible solutions for the problem situation are 2.5 to 8.

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The four conditions of a binomial distribution are: independence, normality, symmetry, and rarity.

Independence: Each trial in a binomial distribution is independent of the other trials, meaning that the outcome of one trial does not affect the outcome of any other trial.

Normality: The distribution of the data follows a normal distribution, meaning that it is bell-shaped and symmetrical.

Symmetry: The binomial distribution is symmetrical around the mean, meaning that the probability of the outcome being above the mean is the same as the probability of the outcome being below the mean.

Rarity: The binomial distribution is characterized by rare events, meaning that the probability of an event occurring is relatively low. This is because the outcomes of each trial are determined by a random process.

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The future value of $2000 at a 3% interest rate compounded annually for 3 years would be $2185.40.

The future value of $2000 at a 3% interest rate compounded annually for 3 years can be calculated using the formula:

FV = PV * (1 + r)ⁿ

where PV is the present value, r is the annual interest rate, and n is the number of compounding periods.

In this case:

FV = $2000 * (1 + 0.03)³

FV = $2000 * 1.03³

FV = $2000 * 1.0927

FV = $2185.40

So, the future value of $2000 at a 3% interest rate compounded annually for 3 years would be $2185.40.

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Answer:

Ryan's answer: 8m - 6

Jane's answer: 4m - 3

Ryan is correct. By factoring out the greatest common factor from the expression, we get:

32m - 24 = (8m - 6) (4m - 2)

Jane's answer 4m-3 is not factor of the given expression.

The expression 32m - 24 can be written as (8m-6)(4m-2) but not as (4m-3)

So Ryan is correct.

Step-by-step explanation:

a) The probability distribution of X

X P(X)

0 022667

1 0.4073511

2 0.27452

3 0.082223

4 0.0093252

b) The most likely value for X is one.

c) The probability that at least two of the four selected have earthquake insurance is 0.3660.

We have, some parts of California are particularly earthquake-prone.Suppose that in one metropolitan area, 31% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random.

Let X denote the number among the four who have earthquake insurance. The probability that the homeowner are insured against earthquake is 0.31. Let S denote a homeowner that has insurance and F denote a homeowner that does not has insurance.

a) For X = 0, {FFFF}

The probability of X = 0

= 0.69x0.69x0.69×0.69

= 0.22667

For X = 1, {SFFF, FSFF, FFSF, FFFS}

P( X = 1) = (0.31 x0.69x0.69×0.69) *4)

= -0.40735116

For X = 2,{SSFF, SFSF, SFFS, FSSF, FSFS, FFSS}

P(X= 2) = (0.31x0.31x0.69×0.69)*6

= -0.27451926

For x = 3,{SSSF, SSFS, SFSS, FSSS}

= (0.31x0.31x0.31x0.69) *4

= -0.08222316

For X = 4, {SSSS}

P(X= 4) = (0.31 <0.31 x0.31x 0.31)

= 0.00923521

Hence, the probability distribution of X

X P(X)

0 022667

1 0.4073511

2 0.27452

3 0.082223

4 0.0093252

(b) The most likely value for X is X = 1, since it has large probability comparing with other values.

(c) We have to calculate the probability that at least two of the four selected have earthquake insurance, P(X ≥2)= P(X=2)+ P(X=3) + P(X=4)

= 0.27452+0.082223+0.0093252

P(X ≥2)=0.3660

Hence, the required probability is 0.3660.

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Answer:

27 minutes

Step-by-step explanation:

Convert 45% to a fraction

45% = 45/100 = 9/20  (divide numerator and denominator by 5)

1 hour = 60 minutes

45% of 1 hour = 9/20 x 60 = 27 minutes

The values of p is 5 and q is 2 in the solution of the given system .​

Given that,

px + qy = −26 -----(1)

qx − py = 7 ------(2)

Multiplying  (1) by  y and (2) by  x

pxy+qy^2=−26y -----(3)

qx^2−pxy=7x -------(4)

Then adding  equation (3) and  (4), we get,

pxy+qy^2+qx^2−pxy=−26y+7x

qy^2+qx^2=−26y+7x

q(y2+x2)=−26y+7x

q=−26y+7xy^2+x2 --------(5)

Substitute x= -4 and y= -3  into the given system to solve it for "p" and "q". Hence, using  x=−4,y=−3 in  (5)

q = −26(−3) + 7(−4)(−3)^2 + (−4)2

q = 78 −289 + 16 = 5025 =2

And then, putting  q=2 in (2) we get,

2x−py=7⇒2x−7=py

2x−7y=p⇒2(−4)−7(−3)=p

After putting values of x and y, we get  2(−4)−7(−3)=p

−8−7−3=p⇒−15−3=p

p=5

Therefore, the values of p=5 and  q=2

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Using SAS, property of triangle congruency, ΔRTV ≅ ΔRTS.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.

The five congruent triangle theorems are therefore SSS, SAS, AAS, HL, and ASA.

Given,

Two triangles,

ΔRTV and ΔRTS,

RT = RT                                      (Side)    [Common side]

∠RTV = ∠RTS                            (Angle)    [Both are 90°]

VT = TS                                      (Side)   [As T is the mid - point of VS ]

Using SAS, property of triangle congruency,

ΔRTV ≅ ΔRTS

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The answer of 1 more than 12 is 13.

The answer of 1 more than 12 is 13 which can be derived using simple mathematical calculations.

To find 1 more than 12, you can add 1 to the original number 12.

1 + 12 = 13

It's a simple arithmetic operation where you add a specific number, in this case 1, to the original number.

An arithmetic operation is a mathematical process that combines two or more numbers to produce a new number. The most basic arithmetic operations are addition, subtraction, multiplication, and division.

Addition: It is the process of combining two or more numbers to find their sum. For example, 2 + 3 = 5 is an addition operation.

Subtraction: It is the process of finding the difference between two numbers. For example, 5 - 3 = 2 is a subtraction operation.

Multiplication: It is the process of finding the product of two or more numbers. For example, 3 x 4 = 12 is a multiplication operation.

Division: It is the process of finding the quotient of two numbers. For example, 12 ÷ 3 = 4 is a division operation.

Therefore, The answer of 1 more than 12 is 13.

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If the variance is unknown and the sample size is small, then the t-test statistic is appropriate to use.

The t-test is a statistical hypothesis test used to identify whether an unknown population mean is different from a particular value. A t-test is appropriate to use when there is a small random sample collected from some statistical population and the sample is required to be compared with the mean from the sample to another value. Also, the variance of the sample is not known.

Thus, a t-test is appropriate to be used when the population variance or standard deviation is not known, and a sample size is less than 30.

"

Correct question:

If the variance is unknown and the ample size is small, which test statistic is appropriate?

"

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One tray will hold 590.877 cubic centimeters.

Volume of a three dimensional shape is the space occupied by the shape.

We have to find the volume of a cone-shaped popsicle mold and then multiply it with 6 to find the required answer.

Volume of a cone = [tex]\frac{1}{3}[/tex] π r² h

Given,

Diameter = 5.4 cm

Radius = Diameter / 2 = 5.4 / 2 = 2.7 cm

Height = 12.9 cm

Volume of the cone = [tex]\frac{1}{3}[/tex] π × (2.7)² × 12.9

                                 = [tex]\frac{1}{3}[/tex] π × 94.041

                                 = 98.4795

Total volume of 6 molds in the tray = 98.4795 × 6

                                                           = 590.877 cubic centimeters

Hence the volume of the molds that the tray hold is 590.877 cubic centimeters.

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43% of eighth graders claim to spend more than an hour every day on social media.

A ratio written as a fraction of 100 is what is referred to as a percentage.

Students were asked in a survey if they thought they used social media more or less than an hour every day.

Added to Less

7th 12 14

8th 20 26

The number of students who responded "more" must be divided by the total number of 8th-grade students polled, and the result must then be multiplied by 100 to get the percentage of students who said they spend more than an hour a day on social media.

20 out of 46 students (20+26) responded "more," or roughly 43.48%.

As a result, 43% of eighth graders believe they spend more than an hour every day on social media.

The Complete Question.

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The balance after 9 years is $1139.94 rounded to the nearest cent.

The formula to use in this case is A = P(1 + r)^nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.

Given the information in the problem, we know that:

P = $800.00 (the principal or starting amount)

r = 0.04 (the interest rate as a decimal)

n = 1 (the interest is compounded annually)

t = 9 (the number of years)

Plugging these values into the formula, we get:

A = $800.00(1 + 0.04)^9

To solve for A, we need to calculate (1 + 0.04)^9

=1.04^9

=1.041.041.041.041.041.041.041.041.04

=1.424928

A = $800.00*1.424928

A = $1139.94

So the balance after 9 years is $1139.94 rounded to the nearest cent.

Therefore, The balance after 9 years is $1139.94 rounded to the nearest cent.

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A = $800.00(1 + 0.04)^9

To solve for A, we need to calculate (1 + 0.04)^9

=1.04^9

=1.041.041.041.041.041.041.041.041.04

=1.424928

A = $800.00*1.424928

A = $1139.94

Answer:Hi there the answer is in quizlet is another page :) flashcards  TRIGONOMETRIC RATIOS

The measure of angle G is 121 degrees and this can be determined by using the sum of interior angle properties.

Sum of interior angles is calculated using the formula (n 2) 180, where is the total number of sides. In a regular polygon, each inside angle is the same. Interior angle of a polygon is equal to the sum of interior angles divided by the number of sides, according to the following formula. One of the first things we all learned about triangles was that the sum of the internal angles is 180 degrees.

Given :

Triangle FHG

Applying the sum of interior angles property on the triangle FHG. According to the sum of interior angles property:

[tex]$$\angle \mathrm{F}+\angle \mathrm{H}+\angle \mathrm{G}=180^{\circ}$$[/tex]

Now, substitute the values of the known terms in the above equation.

[tex]$$(x-5)+(x)+(3 x+25)=180$$[/tex]

Simplify the above equation In order to determine the value of ' $x$ '.

[tex]& 5 x+20=180 \\[/tex]

[tex]& 5 x=160 \\[/tex]

[tex]& \mathbf{x}=\mathbf{3 2} \text { degrees }[/tex]

So the angle[tex]$\mathbf{G}$[/tex] is given by:

[tex]& \angle \mathrm{G}=3(32)+25 \\[/tex]

[tex]& \angle \mathrm{G}=121^{\circ}[/tex]

The complete question is,

What is m∠G ?

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The portion of the diagram that illustrated the set A ∪ B ∩ C is given on the  image presented at the end of the answer.

The union operation, symbolized by U, is composed by the elements that belong to at least one of the sets.

The intersection operation, symbolized by ∩, is composed by the elements that belong to all the sets.

Hence, for the set A ∪ B ∩ C, the requirements are given as follows:

The shaded region corresponding to the operation is given at the end of the answer.

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The total volume of ice cream served per cone V=256πcm³

The volume of a cone defines as the space or the capacity of the cone. It is a three-dimensional geometric shape having a circular base that tapers from a flat base to a point called an apex or vertex.

Given that radius of a cone is r=4 centimeters.

Ice Cream serves 3 scoops of ice cream in its signature cone.

To calculate the total volume of ice cream cones we have a formula:

V=4/3πr³.

Substitute the radius we get:

V=4/3π(4)³*3

V=4/3π(64)*3

V=256π

Therefore, the total volume of ice cream served per cone V=256π

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The number of words that can be formed with PATI is a total of 24 words.

Expressed mathematically, we can use the Permutations method.

The Permutation allows us to symbolically express the number of words that we can form and order with just one.

A permutation is defined as the variation of the position of the elements belonging to a given set.

The PATI permutation:

We see how many elements are in the word: 4 elements.

[tex] \: \: \: \: \: \: \: \: \: \: \begin{gathered} \bold{4 ! = 4 \times 3 \times 2 \times 1} \\ \bold{ 4! = 12 \times 2 \times 1 }\\ \bold{4! = 24 \times 1 }\\ \bold{4! = 24}\end{gathered}[/tex]

[tex]\therefore[/tex] The number of words that can be formed with PATI is a total of 24 words.

Answer:

To evaluate 0.5^3 and 0.5^-3 as fractions, you can use the Decimal to Fraction Calculator. 0.5^3 is equal to 1/8 and 0.5^-3 is equal to 8/1. your welcome

Answer:

1/8 and 8.

Step-by-step explanation:

0.5^3

= (1/2)^3

= 1/ 2^3

= 1/8.

0.5^-3

= 1 /0.5^3

= 1 / 1/8

= 8.

The equation in slope-intercept form as y = 2x - 4, where 2 is the slope and -4 is the y-intercept.

The equation y = 2x - 4 can be written in slope-intercept form as y = 2x + b, where b is the y-intercept. To find the slope and y-intercept of the equation, we need to solve for b.

The y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we can set x equal to 0 in the equation to get y = 2(0) - 4. This simplifies to y = -4, so the y-intercept is -4.

The slope is the rate at which the line rises. To find the slope, we can take the coefficient of x, which is 2. So the slope of the equation y = 2x - 4 is 2.

In summary, the slope of the equation y = 2x - 4 is 2 and the y-intercept is -4. We can write the equation in slope-intercept form as y = 2x - 4, where 2 is the slope and -4 is the y-intercept.

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complete question : what is the slope and y-intercept of the equation

y = 2x - 4 ?

The angle 67.5 degrees is 3 times its complement

Let us assume that the complement of the angle be p degrees.

Given that the measure of the angle is three times its complement.

So, the measure of the angle = 3p

We know that two angles are complementary when their measures add to 90 degrees.

The sum of complementary angles is 90 degrees.

So we get an equation, p + 3p = 90

We solve this equation to find the value of p.

p + 3p = 90

4p = 90

p = 90/4

p = 22.5 degrees

so, the measure of complement of the angle is 22.5 degrees.

And the required angle would be, 3 × 22.5 = 67.5 degrees

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Answer:

Step-by-step explanation:

It is Linear

1. She can look at similar job postings online to compare the salary range offered.

2. She can contact the average employer and ask directly what salary range they offer for the job.

There are two ways Bruna can compare the pay for advertised jobs. First, she can research the salary range of similar job postings. This can be done through job search websites, social networks, and other online resources. She can look at the salary range offered for similar jobs to get an idea of the pay she can expect from an employer.

The second way she can find out the best paying job for her is to ask the employer directly about the salary range. She can contact the employer and ask directly what salary range they offer for the job. This will give her an accurate picture of the salary range that the employer is offering, so she can make an informed decision on which job to apply for. By using these two methods, Bruna can compare the pay for advertised jobs and find the one that offers the best salary.

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As per the given coordinates (-2, 3), the mirror image is (2,3)

In math the term coordinate is defined as  a set of values which helps to show the exact position of a point in the coordinate plane.

Here we have given the coordinates as (-2,3) and we need to find the mirror image on y axis.

The general term for the mirror image on y axis is written as,

=> (x, y) = (-x, y)

Which the rule defines that the sign of x coordinate is changed when we calculate the mirror image on y axis.

Therefore here we have to change the sign of x coordinate that is -2, then we get the mirror image as,

=> (-2,3) = (2,3)

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Answer:

16

Step-by-step explanation:

Simplify the following:

(-4)^2

(-4)^2 = 16:

Answer: 16

So, the value of k that makes the system of equations kx - 5y = 2, 6x + 2y = 7 has no solution is -1.

A system of linear equations has no solution when the equations are inconsistent, which means that there is no set of values for the variables that would make both equations true at the same time.

In the case of the system of equations kx - 5y = 2, 6x + 2y = 7, we can check for consistency by trying to find a unique solution for the system. We can use different methods such as elimination, substitution or Gaussian elimination.

If we use elimination method, we try to eliminate one of the variable from one equation and substitute it in another equation. By adding the two equations, we get: (k + 6)x = 9, which implies that the value of x is x = 9/(k+6).

Now by substituting this value into the first equation we get k*9/(k+6) - 5y = 2

And we can find the value of y by dividing both sides by -5/1: y = (2*(k+6))/(5*k)

Now if we substitute this value of x and y into the second equation:

6x + 2y = 7

We get: 6*(9/(k+6)) + 2*((2*(k+6))/(5*k)) = 7

And if we simplify this equation we get: 9 + 4/(5*k) = 7(k+6)/(k+6)

And that gives us k = -1, which means the system has no solution.

Therefore, the value of k that makes the system of equations kx - 5y = 2, 6x + 2y = 7 has no solution is -1.

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The equation pair cannot be solved if the lines are parallel.

Although a system of linear equations typically has a single solution, it occasionally may have infinite or no solutions (parallel lines) (same line). When the graphs cross at a particular point, a system of linear equations has a single solution.

When the graphs are parallel, an equation system with linear components cannot be solved. The graphs of a system of linear equations have an infinite number of solutions. The lines must connect since the slopes differ. The system of equations that the lines represent has just one solution since the lines intersect at a specific place.

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