Evaluate the expression: 2b + 3a if a = 2.6, b = 3

The value of the form 4^4 plus 3 is 259

Scientific notation can simply be defined as a way of expressing numbers with extreme values in a convenient form.

It is also known as standard index form,  standard form and scientific form.

It is commonly used for complex calculations with very long numbers.

It is also described as a method of expressing numbers in the terms of a decimal number.

Given the expression;

4^4 plus 3

4^4 is represented as 4 × 4 × 4 × 4

Multiply the values

256 + 3

Add the values

259

Hence, the value is 256

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Answer:

[tex]\frac{x}{3} \leq 5[/tex]

Hope this helps! :)

On an average, 1.67 people will have to be stopped by the reporter before he finds his first democrat.

A supporter of democracy, Democratic Party subscriber, a democratic government, or a system of government where the people rule, may be referred to as a Democrat, Democrat, or Democratic.

The central value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a given set of numerical data.

For instance, (2+3+4)/3 = 9/3 = 3 is the average of 2, 3, and 4. As a result, in this instance, 3, which also includes 2, 3, and 4, serves as the central value. Finding the average value of a group of numbers is what average means, then.

Average is calculated by dividing the total number of values by the sum of the individual values.

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The mean of this sampling distribution is 1 cm, the standard deviation is 0.033, X-bar is called the sampling distribution of the sample mean

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.

The bigger the deviation within the data collection, the more the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.

Processor chips = 35

Let the x-bar be the sample mean

x-bar = 1 mm

Size of the processor chips = 0.2 mm

n = 35

Standard deviation = Size of the processor chips/[tex]\sqrt{n}[/tex]

= 0.2/[tex]\sqrt{35}[/tex]

= 0.2/5.9160

= 0.033

Standard deviation = 0.033

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The answer to this Question based on Linear equation is 28 and 45

What is Linear Equation?

It is a equation in which the degree of each and every variable is 1 only is called linear equation

Solution:

Let the time taken to complete maths homework be x and time to complete science homework be y

first we know that total time taken was 1 hr 15 minutes means 75 minutes which in turn means x + y = 75

and from 2nd relation that we are given

x = 2y - 9

now we got the 2 linear equations now we just need to solve them to get our final answer

putting this equation in first equation we got we get

2y - 9 + y = 75

3y - 9 = 75

3y = 84

y = 28

and hence x = 2y - 9

x = 56  - 9

x = 45

hence time to complete maths was 45 minutes and time to complete science is 28 minutes

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The line of fit for the coordinate points (1960, 23) and (2000, 32) is y=9/40 x+418.

The given coordinates are (1960, 23) and (2000, 32).

The line of best fit calculates a straight line that minimises the separation between itself and the locations of the observations in a given data collection. A trend or correlation between the dependent variable and the independent variable is depicted using the line of best fit (s). It can be expressed mathematically or graphically.

In the coordinate points (1960, 23) and (2000, 32)

In (1960, 23), 1960 is x-coordinate and 23 is y-coordinate

In ((2000, 32), 2000 is x-coordinate and 32 is y-coordinate

Here, Slope =(y2-y1)/(x2-x1)

= (32-23)/(2000-1960)

= 9/40

Substitute m=9/40 and (x, y)=(1960, 23) in y=mx+c, we get

23= 9/40 (1960)+c

23= 9×49+c

c=23-441=418

Substitute m=9/40 and c=418 in y=mx+c, we get

y=9/40 x+418

Hence, the line of fit for the coordinate points (1960, 23) and (2000, 32) is y=9/40 x+418.

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The numbers in the increasing order are:

(x-1)>(x+1)>(x+2)

In mathematics, factorization is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. The factorization of the integer 12, for instance, might be represented as 3 times 4. In the context of integers, factorization was first studied by Greek mathematicians. They established the basic theorem of mathematics, which states that every positive integer can be factored into a product of prime numbers but cannot be factored further into integers larger than 1. Up to the order of the factors, this factorization is also distinct.

It has also been studied for ages how to factor polynomials.

The given equation is:

x³+2x²-x-2

Now, we have to do factorization for the given equation.

(x+1)(x²+x-2)

(x+1)(x²+2x-x-2)

(x+1)(x(x+2)-1(x+2))

(x+1)(x-1)(x+2)

This is the factorized form of the given equation.

Therefore, the numbers in the increasing order are:

(x-1)>(x+1)>(x+2)

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Answer: Her brother is 5 years old.

Step-by-step explanation:

s = 2b

4b + 3b = 35

7b = 35

First, I used s to represent Sarah's age. We are told that she is twice her brother, I used b to represent her brother's age. The sum of twice her age is 4 times her brother's age (2b + 2b) and 3 times her brother's age is 3b.

Answer:

7x

Step-by-step explanation:

When combining like terms, you keep the bases the same and add the constants.

the "x's" are the base and the constants are 5 and 2:

(5 + 2)x = 7x

Muscular strength can be measured based on the amount of weight lifted.

Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).

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The price of new car is reduced by $825 from the original price $12,500 which implies the price of car after reduction is $11,625 i.e

The percentage reduction is 7 .

Percentage is calculated by dividing the value by total value and then multiply with 100.

We have given that,

The price of a new car = $12,500

After the some reduction in price

then the price of car = $11,625

The reduction in total price of car = original price - price after reduction

= $12,500 - $11,625

= $875

Now, we have to calculate the reduction of price in percentage.

Using the percentage reduction formula,

P% = (original price - price after reduction )× 100 /original price

=> percentage reduction = ( 875/12500)×100

=> percentage reduction = 875/125 = 7

Hence, the reduction is 7% .

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No. For example, thirteen hearts could be selected: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. No two of these are of the same denomination.

What is a denomination?

A denomination is a classification system that identifies the nature or worth of an object. Denomination frequently relates to currency.

Here, we have

13 cards are randomly selected from a standard 52-card deck.

This is not necessary.

All 13 cards may be of different denominations.

At least 2 need not be of the same denomination.

Hence, thirteen hearts could be selected: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. No two of these are of the same denomination.

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The exact circumference of the circle with radius 17 millimeters is 34π   millimeters , the correct option is (b) .

In the question ,

it is given that ,

the radius of the circle is given as = 17 millimeter

we have to find the exact circumference of the circle,

we know that the formula to find circumference of the circle is ;

circumference = 2×π×r

Substituting the value of radius in the circumference formula ,

we get ;

circumference = 2×π×17

Simplifying  further ,

we get ,

= 34π

Therefore , the exact circumference of the circle is = 34π .

The given question is incomplete the complete question is

What is the exact circumference of a circle with a radius of 17 millimeters ?

(a) 17π millimeters

(b) 34π millimeters

(c) 68π millimeters

(d) 8.5π millimeters

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Answer: X[12)

Step-by-step explanation:

-6x+9<2-5(x+1)

-6x+9<-5(x+1)+2

-6x+9<-(5x+5)+2

Answer:

yes

Step-by-step explanation:

2x+4=3x-2

4=x-2

6=x

x=6

Answer:

Yes, It equals 6.

The area of the trapezium, if  CD = 8 cm, BD = 6 cm, AE = 9 cm, is  30 cm².

The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given:

CD = 8 cm,

BD = 6 cm,

AE = 9 cm,

Here you can see that the triangle AEC and triangle BDC are similar, so the ratio of sides of a triangle are also equal,

BD / AE = CD / CE

6 / 9 = 8 / CE

CE = 9 × 8 / 6

CE = 12 cm

Thus, DE = CE - CD.

DE = 12 - 8 = 4 cm

Calculate the area as shown below,

[tex]Area = (BD+AE) / 2 \times DE[/tex]

Area = (6 + 9) / 2 × 4

Area = 15 / 2 × 4

Area = 30 cm²

Therefore, the area of the trapezium, if  CD = 8 cm, BD = 6 cm, AE = 9 cm, is  30 cm².

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Answer:

top right graph

Step-by-step explanation:

Having a zero at 3 means that the y coordinate is 0 when the x-coordinate is 3.

A y-intercept of 9 means it includes the point (0, 9).

Answer: top right graph

The [0.513,0.616] range is the 95% confidence interval for the percentage of all dies that pass the test.

Given,

Number of items inspected = 356

Number of items passed the test = 201

We have to calculate the 95% (two-sided) confidence interval for the proportion of all dies that pass the test;

Here,

p' = 201 / 356 = 0.56460

Now,

The 95% confidence interval for the percentage of all dies that pass the test;

p∈ [p' ± zα / 2√p' (1−p') / n]

p∈ [0.56460 ± 1.96 × √0.56460 (1 − 0.56460) 356]

p∈ [0.513, 0.616]

That is,

The 95% confidence interval for the percentage of all dies that pass the test is [0.513, 0.616]

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The flux of the vector-field F = 4i + 4j + 1k across the surface S is 63/4. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 3x+2y+z = 3.

and given F = 4i + 4j + 1k

divG = div(3x+2y+z = 3) = 3i + 2j + k

Flux = ∫(4i + 4j + 1k) (3i + 2j + k) dA

φ = ∫ (12 + 8 + 1)dA

= 21∫dA

A = 1/2 XY (on the given x-y plane)

3x+2y =3

at x = 0, y = 3/2

y = 0, x = 1

1/2 (1*3/2) = 3/4

Therefore flux = 21*3/4 = 63/4

φ = 63/4.

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Answer:

D. One solution

Step-by-step explanation:

6-3x=4-x-3-2x

Combine your like-terms.

6-3x=1-3x

Subtract 1 to both sides (on the right side it cancels out).

5-3x=3x

Add 3 on both sides (on the left side it cancels out).

5=6x

Divide both sides by 6.

x=0.83

Answer:

Answer choice (C) -$19.56 is your answer. After the check was cashed she had negative -19.56

Step-by-step explanation:

Kathy had $45.67 in her checking account. She wrote a check for $65.23. What was her balance after the check was cashed? A. $110.90 B. $39.56 C. -$19.56 D. -$110.90

If your data analysis shows that there is a chance that a hypothesis is false, the standard practice is to reject it. It is b). False.

Scientists can either reject the null hypothesis (which implies that there is a clear, causal connection between the two observations) or. not proving the null hypothesis (meaning the test has not identified a consequential relationship between the two phenomena). If the test statistic is greater than the crucial value in an upper-tailed test, the decision rule requires that researchers reject H0.

If the test statistic is less than the crucial value in a lower-tailed test, the decision rule requires that the investigators reject H0. Checking for sufficient evidence to refute the null hypothesis is the aim of hypothesis testing. To determine whether there is sufficient evidence to reject the null hypothesis, in other words. If there is insufficient support, we cannot rule out the null hypothesis.

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Answer:

4

Step-by-step explanation:

[tex]\frac{-3}{4}[/tex] m - [tex]\frac{1}{2}[/tex] = 2 + [tex]\frac{1}{4}[/tex] m  Multiply each term by 4

-3m - 2 = 8 + m  Add 3m to both side

-2 =  8 + 4m  Subtract 8 from both sides

-10 = 4m  Divide both sides by 4

[tex]\frac{-5}{2}[/tex] = m

A function that is used to find the maximum = MAX

We know that the MAX function in Excel returns the data's largest numeric value from a set of values.

MAX does not take into account empty cells, logical values TRUE and FALSE, or text values.

To find the  to find the maximum value in a set of values:

First select a cell below or to the right of the numbers you're looking for the smallest number for.

Then click the arrow next to AutoSum on the Home tab, in the Editing group, then click Min (calculates the smallest) or Max (calculates the largest), and then press ENTER.

MAX function is used to find the maximum.

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Answer: 216 times

Step-by-step explanation:

18 * 12

Expected number of defectives is 3.

What do you mean by probability?

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The likelihood or chance of an event happening is known as probability.

Probability =  (the number of ways of achieving success)/( the total number of possible outcomes)

It is given that there are total 50 computers and out of which 3 are defective. So , here atmost 3 can be  defective out of 7.So , out of 7 , one can be defevtive , 2 can be defective and 3 can be defective

Therefore, expected number of defectives is 3.

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Functions are expressions, rules, or laws that specify the relationship between an independent variable and a dependent variable

Given,

A function;

An expression, rule, or regulation that establishes the connection between an independent variable and a dependent variable is known as a function (the dependent variable).

A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).

Examples for function are;

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The earliest finish time for the activity 10-11(far right-hand side) is 23 if the earliest start time of activity 8-10 and activity -10 is 12 and 13 respectively.

The depicted graph represents the critical path method(CPM)

Given,

Earliest start time of 8-10 = 12

Earliest start time of 9-10 = 13

From the network, it is observed that at 10, two networks are connecting, we need to take the largest earliest finish time from both the activities as earliest start time for 10-11.

Earliest finish time = earliest start time + activity duration

Earliest finish time for 8-10 = 12+4=16

Earliest finish time for 9-10 = 13+2=15

From above two times, 8-10's earliest finish time is the greatest. So, consider 16 as earliest start time for 10-11.

Now,

Earliest finish time for 10-11= earliest start time + activity duration=16+7=23

Thus, the earliest finish time for 10-11 is 23.

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The largest product we can get is: 26244,

What is integers?

Integers are whole numbers that are either positive, negative, or zero. They are the building blocks of the number system and are used to represent quantities or perform calculations. Integers are represented in the form of digits and can either be written in the form of standard numbers, Roman numerals, or in the form of exponential notation. Integers are used in many areas of mathematics and are a fundamental concept in the study of algebra, geometry, and calculus. Integers are also used in everyday life, such as in accounting and finance, where they represent monetary values.

We know that for 28,
(k-2)*2 <= k
2k-4 <= k
k <= 4

So, we should only consider numbers less than or equal to 4.

Now, 4 can be replaced by 2*2 and there is no point in taking 1 since it will not increase product result.

So, we are left with 2 and 3. Some possible solutions are:

{3,3,3,3,3,3,3,3,2,2} or {3,3,3,3,3,3,2,2,2,2,2} etc.

Out of all these, the maximum product we can get is from {3,3,3,3,3,3,3,3,2,2} which is: 26244

So, The largest product we can get is: 26244

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After solving, she is 25 years old.

In the given question,

When he asked her age, She replied "If you take my age and square it and then subtract 22 time my age then the result is 75"

We have to find the age of she.

To find the age of she we we firstly simplify the given statement in the form of expression then we solve the expression.

To write the expression we clearly read then sentence and then write the expression.

Let the age of she is x.

So When we take the square of her age, it is x^2.

When we subtract 22 times her age then it is x^2-22x.

Then its is equal to the 75. Now the expression is;

x^2-22x=75

Subtract 75 on both side, we get

x^2-22x-75=0

Now we simplifying the equation by factoring it.

x^2-(25-3)x-75=0

x^2-25x+3x-75=0

x(x-25)+3(x-25)=0

(x+3)(x-25)=0

Now the factor of x is -3 and 25.

Age can not be negative. So the age of she is 25.

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The right question is;

When he asked her age, She replied "If you take my age and square it and then subtract 22 time my age then the result is 75"how old is she?