Please help on this!!

The value of x for a given expression 4x + 3 = 9 is equal to -1.415.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 4x + 3 = 9. The value of x will be calculated as,

log(4)⁹= x + 3

log9 / log4 = x + 3

0.95424425 / 0.6020599 = x + 3

1.584962725 -3 = x + 3 - 3

x = -1.415037275

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Step-by-step explanation:

Slope-Point form : (y-y1) = m(x-x1)

So,

The equation is 4x -y +32 = 0

Answer:

the 4th option is correct

Step-by-step explanation:

thank you

Step-by-step explanation:

x = number pain cookies

y = number raisin cookies

x/y = 2/3

x/(y+6) = 1/3

x = (y + 6)/3

x = 2y/3

therefore,

x = x = (y + 6)/3 = 2y/3

y + 6 = 2y

6 = y

x = 2y/3 = 2×6/3 = 2×2 = 4

so, he made originally 4 + 6 cookies, and then he made 6 more raisin cookies, so, he made 4 + 6 + 6 = 16 cookies.

The probability that it takes her more than 6 pulls to start the mower is 0.262144. The result is obtained by the formula of binomial distribution.

The formula of binomial distribution is

[tex]P(X = x) = C_{n,x}.p^{x}. (1 - p) ^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x! (n-x)!}[/tex]

Where

Rita has to pull a cord to start her old lawn mower. If the probability of success is 20%, what is the probability that it takes her more than 6 pulls to start the mower?

We have:

Using the formula of binomial distribution,

[tex]P(X = 1) = C_{6,1}.(0.2)^{1}. (0.8) ^{5} = 0.393216[/tex]

[tex]P(X = 2) = C_{6,2}.(0.2)^{2}. (0.8) ^{4} = 0.24576[/tex]

[tex]P(X = 3) = C_{6,3}.(0.2)^{3}. (0.8) ^{3} = 0.08192[/tex]

[tex]P(X = 4) = C_{6,4}.(0.2)^{4}. (0.8) ^{2} = 0.01536[/tex]

[tex]P(X = 5) = C_{6,5}.(0.2)^{5}. (0.8) ^{1} = 0.001536[/tex]

[tex]P(X = 6) = C_{6,6}.(0.2)^{6}. (0.8) ^{0} = 0.000064[/tex]

The probability that it takes more than 6 pulls,

P(X > 6) = 1 - P(X ≤ 6)

P(X > 6) = 1 - [P(X = 1)+P(X = 2)+P(X = 3)+P(X = 4)+P(X = 5)+P(X = 6)]

P(X > 6) = 1 - (0.393216 + 0.24576 + 0.08192 + 0.01536 + 0.001536 + 0.00064)

P(X > 6) = 1 - 0.737856

P(X > 6) = 0.262144

Hence, the probability to take more than 6 pulls to start the old lawn mower is 0.262144.

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Another word for the word split is given by many other words like crack, to divide, tear, to break apart,  bisect  it into parts and so.

Explanation:

Another word of the given word split is given by:

Therefore, the another word used  for the given word split is given by crack , cleave, tear, divide it into two equal parts.

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The balance after 4 years is $551.42. Here we use the formula of compound interest to calculate the total amount or balance after 4 years.

Compound interest is the interest calculated based on the initial principal and sum of the interests calculated over the previous time periods.

Formula for calculating the  compound interest is:

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

Here A is the final amount accumulated

P is the Principal = $475

r is the interest rate = 3.8%

n is the number of times compounded in a year(here it is compounded annually) so n = 1.

t is the given time period = 4

Therefore

A = 475(1 + 3.8%)⁴

= 475(1.038)⁴

= 551.42$

Therefore total balance after 4 years is $ 551.42

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Answer:

The weight of the second box is 42 kilograms, since 54 - 12 = <<54-12=42>>42.

the find the probability of having two boys or two girls will be 50%

What is probability ?

The probability formula can be used to calculate the likelihood of an event by simply dividing the favorable number of possibilities by the total number of options. The likelihood of an occurrence might vary from 0 to 1 because the favourable number of outcomes can never be greater than all possible outcomes.

For two genders and three children, there are a total of 2³=8 potential combinations.

There are (GGG, GGB, BGG, GBG) = 4 pairs where at least two of the children are female.

As a result, there is a 4/8 = 1/2 chance that the family of three children will include at least two girls.

Hence the find the probability of having two boys or two girls will be 50%.

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Answer:

Just as geometry has rules, definitions, postulates, and theorems that help with problem-solving and understanding the relationships of shapes and solids, the Bible provides a similar guide for living a Christian life. The Bible contains a set of principles and teachings that serve as a foundation for Christian beliefs and values. These principles and teachings help Christians to understand the nature of God and their relationship with him, as well as the principles for living a moral and virtuous life.

In the same way that geometry relies on deductive reasoning to draw conclusions and make predictions, Christians use their knowledge of the Bible to make decisions and navigate the challenges of daily life. The Bible provides guidance on a wide range of topics, including relationships, work, ethics, and personal growth, helping Christians to make wise choices and avoid pitfalls.

Additionally, just as geometry helps us to understand the spatial relationships of objects, the Bible helps us to understand our place in the world and our relationship with others. The Bible teaches us about the importance of love, compassion, and forgiveness, and helps us to see the value and worth of every human being.

Overall, the Bible serves as a guide for living a Christian life, providing principles, teachings, and guidance that help us to understand God, ourselves, and our relationships with others.

Step-by-step explanation:

Answer:

yes...........s..s.s..s..s..,...

The control limits that include 90% of the sample means be,

(24.9671 , 25.0329).

Given, twenty-five engine mounts are sampled each day and found to have an average width of 2 inches, with a standard deviation of 0.1 inches.

we have to find the confidence interval under confidence of 90%.

As, Mean = 2 and Standard Deviation = 0.1

Subtract 1 from your sample size. 25 – 1 = 24. This gives you degrees of freedom.

Subtract the confidence level from 1, then divide by two.

(1 – 0.9) / 2 = 0.05

For 24 degrees of freedom (df) and α = 0.05, the result is 1.645.

Divide your sample standard deviation by the square root of your sample size.

0.1 / √(25) = 0.02

Now, 0.02 × 1.645 = 0.0329

The lower end of the range

25 – 0.0329 = 24.9671

The upper end of the range

25 + 0.0329 = 25.0329

Hence, the confidence interval be, (24.9671 , 25.0329)

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We can determine the end behavior of the graph of a polynomial function if we look at the x-right axis's end (as x approaches +) and left end (as x approaches ), respectively.

Given,

End behavior of polynomial function;

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity. The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

Here,

The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, if we look at the right end of the x-axis (as x approaches +) and the left end of the x-axis (as x approaches ), the end behavior of a function represents the trend of the graph.

That is,

If we examine the ends of the x-right and left axes (as x approaches +) in turn, we can ascertain the end behavior of the graph of a polynomial function.

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The null hypothesis get rejected comparing the 95% confidence interval to the proportion of the given central valley residents and bay area residents .

As given in the question,

Total number of voters in California = 7525

x₁ = Number of voters of central valley residents approved California legislature

   = 68

n₁ = Total number of voters of central valley residents

   = 200

x₂ = Number of voters of bay area residents approved California legislature

   = 156

n₂= Total number of voters of bay area residents

   = 300

p₁ = proportion of voters of central valley

p₂= proportion of voters of bay area

p₁ = x₁/ n₁

   = 68/200

   = 0.34

p₂ = x₂/n₂

    = 156/300

    = 0.52

Standard error = √p₁(1 -p₁) / n₁ + p₂( 1- p₂)/n₂

                        = √0.34(1-0.34) / 200 + 0.52(1-0.52)/ 300

                        = √0.001122 + 0.000832

                        = 0.044

[tex]p_{w}[/tex] = (68 + 156 )/ (200 + 300)

   = 0.448

[tex]q_{w} = 1- p_{w}[/tex]

    = 1 - 0.448

    = 0.552

null hypothesis p₁ - p₂ = 0

z = ( 0.52 - 0.34 ) - 0/ √(0.448)(0.552)( 1/200 + 1/300)

  = 4

Tabular value for confidence interval 95% = 1.96

4 > 1.96

We reject the null hypothesis.

Therefore, the difference of proportion of central valley residents and the bay area residents rejection of null hypothesis as per given 95% confidence interval.

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The required simplified solution of the given numerals is 1. 25/24, 2. -7/8, and 3. 5/4.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1.
3/8 + 2/3 = 9 + 16 / 24
              = 25 / 24

2.
3 1/4 - 1 1/8  = 1/4 - 9 / 8
                 = -7/8

3.
[2 + 1 /2] / 2 = [5 / 2] / 2 = 5 / 4

Thus, the mandated simplified solution of the assigned numerals is 1. 25/24, 2. -7/8, and 3. 5/4.

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Answer:

[tex]5m+8=16[/tex]

Step-by-step explanation:

[tex]5m+8=16 \\ \\ 5m=8 \\ \\ m=1.6 \neq 2[/tex]

The answer to this Question Based on Perimeter is 8.72

What is Perimeter?

Perimeter is total length of boundary of any closed figure

Solution:

to calculate perimeter of this first we need to calculate the lengths of all sides

BY pythagoras theorem we can see that SV = sqrt(4^2 + 1^2)

SV = sqrt(17)

By similar procedure other lengths we can calculate as

UV = sqrt(5)

UT = sqrt(17)

ST = sqrt(5)

Hence perimeter will be sum of all these that is 2sqrt(5) + 2sqrt(17)

2(2.24) + 2(4.12)

4.48 + 4.24

8.72 will be perimeter

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The required f(x) values are  5, 1 , -1 , -3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

f(x)= -2x+1

Substitute the values for x and find the value of f(x)

For x= -2:

f(x)= -2(-2)+1

    = 5

For x= 0:

f(x)= -2(0)+1

    = 1

For x= 1:

f(x)= -2(1)+1

    = -1

For x= -2:

f(x)= -2(2)+1

    = -3

The required f(x) values are  5, 1 , -1 , -3

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Answer:

A

Step-by-step explanation:

Answer:

what was the original cost of the lunch before they added the tip?

Answer:

(1, 6 )

Step-by-step explanation:

y = 5x + 1 → (1)

4x + y = 10 → (2)

substitute y = 5x + 1 into (2)

4x + 5x + 1 = 10

9x + 1 = 10 ( subtract 1 from both sides )

9x = 9 ( divide both sides by 9 )

x = 1

substitute x = 1 into (1)

y = 5(1) + 1 = 5 + 1 = 6

solution is (1, 6 )

Answer: x = 1, y = 6

Step-by-step explanation:

y = 5x + 1

4x + y = 10

substitute y into the second equation

4x + 5x + 1 = 10

9x + 1 = 10

9x = 10 - 1

9x = 9

x = 9/9

x = 1

Now you have the x value substitute it in one of the equations above to get the y value

y = 5(1) + 1

y = 5 + 1

y = 6

so your x value is 1 and your y value is 6

47

Cuando dividas 752 por 16 obtendrias 47.

So, when the box has a square base with 4.8 feet on each side and a height of 40.41 feet, then cost will be at its lowest.

When referring to a specific mathematical item that serves as a building block, the word "basis" in mathematics is employed. The notions of a number system in which numbers are represented by digits and a numerical system in which logarithms were defined are the ones that are most frequently utilized.

V=x2×y931=x2y=93x2

Given that the square foot price for the bottom is 15 cents, the top is 10 cents, and the sides are 1.5 cents

Therefore, total cost

C=15x2+10x2+(1.5xy)

C=25x2+6xyC(x)=2x2+6x×931x2C(x)=25x2+5586x

Upon separating it from x, we obtain,

C′(x)=50x−5586x2

We obtain 50x5586x2=0x3=5586 when equating with zero.

50x=4.8ft

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Answer: 216 cm^2

Step-by-step explanation:

The equation finds the area of the cube is

6 * S^2

6 (6^2) = 216 cm^2

The graph that represents the given situation is graph (A). (Refer to the graph attached below)

The set of ordered pairs is the graph of a function f in mathematics, where these pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical case when x and f(x) are real numbers.

To create a graph is to make a diagram that shows the relationship between two or more things.

So, we know that:

The bathtub is filling at a constant rate.

When the tap was closed, the water drained out.

Then again, the tap was open for the water to come out at a constant rate.

So, the correct graph that resembles these lines is a graph (A).

Therefore, the graph that represents the given situation is a graph (A). (Refer to the graph attached below)

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The Slope of the line that passes through the points (1, 4) and (1, -3) is Undefined.

If we are provided with two points (x₁, y₁) and (x₂, y₂) then the formula of finding the slope between these points is expressed as

m = (y₂ - y₁)/(x₂ - x₁)

where m is the slope between the points, y₂ - y₁ is difference between the y coordinates and x₂ - x₁ is the difference between the x coordinates.

Now the points are (1, 4) and (1, -3), so the difference between the coordinates is expressed as

y₂ - y₁ = -3 - 4

y₂ - y₁ = -7

x₂ - x₁ = 1 -1

x₂ - x₁ = 0

Now the slope will be

m = -7/0

Since, we have zero in the denominator and any number divided by zero is undefined so the slope is undefined.

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Complete Question:

What is the slope of the line that passes through (1, 4) and (1, -3)?

The true statements regarding the trigonometric functions are given as follows:

The three trigonometric functions are defined as follows:

The statements are described as follows:

The remaining statements are true.

The statements are given by the image shown at the end of the answer.

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The correct option regarding the correlation coefficient and the critical values for the the paired values of the consumer price index (cpi) and the cost of a slice of pizza is given as follows:

r = 0.985; critical values = ±0.917.

The correlation coefficient for a data-set is obtained inserting the points of the data-set into a correlation coefficient calculator.

For this problem, the points are given as follows:

(30.2, 0.15), (48.3, 0.35), (112.3, 1), (162.2, 1.25), (191.9, 1.75), (197.8, 2.00).

Inserting these points into a calculator, the numeric value of the coefficient is given as follows:

r = 0.9852.

Then the critical value is also used a calculator for the r-distribution, with these following parameters:

Using the calculator, the critical value is of:

r  = ±0.917.

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The required probability that she'll use a cab exactly one time is  4/9.

probability is a part of math that arrangements with figuring out the probability of the event of an occasion.

Elizabeth lives in San Francisco and works in Mountain View.

In the first part of the day she has 3 transportation choices  (bus, cab, train) to work, and at night she has similar 3 options for her outing home.

All transportation  (bus, cab, train) are comparably liable to be chosen, and 1 of them should be chosen in the first part of the day and night, so we get:

P (bus) = P (taxi) = P (train) = 1/3.

We additionally have P(no taxi in night) = P(no taxi at morning) = 2/3

Presently, P(using taxi precisely once) = P(cab at morning and no taxi at night) + P(no taxi at morning and taxi at night)

= P(cab, no taxi) + P(no taxi, taxi)

= 1/3 × 2/3 + 2/3 × 1/3

= 2/9 + 2/9

= 4/9

Consequently, the probability that Elizabeth utilizes a taxi just once is 4/9.

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Answer:x=+22

Step-by-step explanation:We move all terms to the left:

6x+3-(7x-19)=0

We get rid of parentheses

6x-7x+19+3=0

We add all the numbers together, and all the variables

-1x+22=0

We move all terms containing x to the left, all other terms to the right

-x=-22

x=-22/-1

x=+22