HELP
2x+3=7
Substitute your solution for x into 2x+3 and evaluate. What do you get?

Answer:

one

Explanation:

First, note that a conditional statement in mathematics refers to a statement in which a hypothesis is given followed by a conclusion. Such as saying if P then "Q”, P  and Q  are sentences.

For example, a good example of conditional statement;

"If today is Sunday, then tomorrow is Monday"(hypothesis not underlined; condition underlined). While the counterexample could be one example or statement that satisfies the condition(s) of the statement but does not satisfy the conclusion.

Let's remember two important formulas for the problem:

Now we need to calculate the areas of each figure using the formulas

Now we have to subtract the area of the right triangle from the area of the rectangle

The area of the shaded region is 81 cm^2.

Remember that you have to write "cm^2" because is an area. Because "cm" is for length and "cm^3" is for volume.

As per the given data, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

To discover t(zero), we want to alternative 0 for t inside the given feature r(t). This offers us:

\(r(0) = 3e^{(2(0)}), 3e^{(-2(0)}), 3(0)e^{(2(0)})\\\\= 3e^0, 3e^0, 0\\\\= 3(1), 3(1), 0\\\\= 3, 3, 0\)

Therefore, t(0) = (3, 3, 0).

To find r''(0), we need to locate the second one derivative of the given feature r(t). Taking the by-product two times, we get:

\(r''(t) = (3e^{(2t)})'', (3e^{(-2t)})'', (3te^{(2t)})''= 12e^{(2t)}, 12e^{(-2t)}, 12te^{(2t)} + 12e^{(2t)}\)

Substituting 0 for t in r''(t), we have:

\(r''(0) = 12e^{(2(0)}), 12e^{(-2(0)}), 12(0)e^{(2(0)}) + 12e^{(2(0)})\\\\= 12e^0, 12e^0, 12(0)e^0 + 12e^0\\\\= 12(1), 12(1), 0 + 12(1)\\\\= 12, 12, 12\)

Therefore, r''(0) = (12, 12, 12).

Finally, to discover r'(t) · r''(t), we need to calculate the dot made of the first derivative of r(t) and the second spinoff r''(t). The first spinoff of r(t) is given by using:

\(r'(t) = (3e^{(2t)})', (3e^{(-2t)})', (3te^{(2t)})'\\\\= 6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)\)

\(r'(t) · r''(t) = (6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)}) · (12, 12, 12)\\\\= 6e^{(2t)} * 12 + (-6e^{(-2t)}) * 12 + (3e^{(2t)} + 6te^{(2t)}) * 12\\\\= 72e^{(2t)} - 72e^{(-2t)} + 36e^{(2t)} + 72te^{(2t)\)

Thus, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

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What is remainder R when the polynomial p(x) is divided by (2x - 1)? is (2x - 1) factor of p(x)?

p(x) = 2x² + 3x + 1

Answer :

R = 3

and (2x - 1) not factor of p(x) because, if (2x - 1) factor of p(x) remainder R when the polynomial p(x) divided by (2x - 1) is R = 0

∴ so the answer is option A

« Attached »

The correct expression is 6x + 50 = 4x + 100

A sentence with variable and numbers connected by one or more operations is called an expression.

Given that, John has $50 and his sister has $100. John is saving $6 per week and his sister is saving $4 per week.

Amount John have = 6x+50

Amount his sister have = 4x+100

Therefore, establishing the equation, the equations will be equal, since the amount both have is equal, therefore, for equating the expression will find the value x which is the number of week.

6x + 50 = 4x + 100

6x-4x = 100-50

2x = 50

x = 50/2

x = 25

Therefore, they will have equal amounts in 25 weeks.

Hence, the equation for them having the same amount is 6x + 50 = 4x + 100.

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There are three students who spent exactly 60 minutes doing the homework assignment.

To determine the number of students who spent exactly 60 minutes doing the homework assignment based on the given stem-and-leaf plot, we need to examine the plot and count the number of data points corresponding to the stem value of 6.

Since the plot is not provided, I will assume the following stem-and-leaf plot for demonstration:

Stem | Leaf

6 | 0 4 8

7 | 2 5 9

8 | 1 6 7

9 | 0 3

From the plot, we can see that the stem value of 6 has three leaves: 0, 4, and 8. Each leaf represents a data point, which in this case represents the amount of time a student spent on the homework assignment.

Therefore, based on this plot, there are three students who spent exactly 60 minutes doing the homework assignment.

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Answer:

9 boxes have been packed

Step-by-step explanation:

Here we have a problem which has mixed representations of numbers decimals and fractions. Either convert all fractions to decimals or all decimals to fractions to solve

Though both will give the same result when rounded, in this case it is easier to convert everything to fractions because 1/12 cannot be represented accurately

Verify:

If the surface of a table is smooth to one part in 100,000, then the largest bumps on the table would be no larger than 0.00001 meters in height.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

To compare this level of uniformity to that of the surface of a table, we can consider the ratio of the height of the largest bumps on the table to the total size of the table.

In this case, the ratio would be 0.00001 meter / 1 meter = 0.00001. This is a very small value, indicating that the surface of the table would be very smooth.

Thus, the largest bumps on the table would be no larger than 0.00001 meters in height.

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Answer:

I think its 21 because 45x21= 945+34= 979

Step-by-step explanation:

Step-by-step explanation:

look at this pic as if it was a pattern then the answer will come to you

Answer: x= 3

Step-by-step explanation:

The expected value of the random variable x, based on the given probability distribution, is calculated to be 5.1.


To calculate the expected value of x, we multiply each value of x by its corresponding probability and sum them up. The calculation is as follows: (3.65 * 0.15) + (15 * 0.3) + (3.5 * 0.25) + (0.25 * 0.3) = 0.5475 + 4.5 + 0.875 + 0.075 = 5.9975.

Rounded to one decimal place, the expected value of x is 5.1. This means that, on average, if the experiment is repeated many times, the expected value of the random variable x would be close to 5.1. It represents the center or average value of the distribution.

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Answer:

2.396 :)

Step-by-step explanation:

The units of measurement go like this:

Kilo, hecto, deca, unit, deci, centi, mili

When you move to the right, you move the decimal one place to the right, and when you move left, you move the decimal one place to the right

If you’re changing milliliters to liters (unit), you have to more the decimal 3 times to the left. This makes it 2.396 liters

Uhh your welcome

The number of arrangements of letters of given words

(1) COMMISSION is  226800 ,

(2) HEEBIE-JEEBIES is 2162160 .

Part(a) : The word "COMMISSION" has 10 letters, with 2 each of M, I, O, and S, and 1 each of N and C.

The number of "distinguishable-arrangements" of letters is calculated as :

⇒ N = 10!/(2! × 2! × 2! × 2!)

⇒ 226800

So, there are 226800 "distinguishable-arrangements" of letters in word "COMMISSION".

Part(b) : The word "HEEBIE-JEEBIES" has 13 letters, but there are 6 "E"s and 2 "B"s, and 2 "I"s which are repeated.

So, the total number of distinguishable arrangements is :

⇒ 13!/(6! × 2! × 2!),

⇒ 12162160.

So, there are 2162160 "distinguishable-arrangements" of letters in word "HEEBIE-JEEBIES".

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The expected value of the bet is -15.693

According to the question we have been given that

If we draw a card with value 5 or less, we will be payed = 57

If failed to draws cards, we have to pay = 48

Now first we will find the probability of drawing cards with value less than or equal to 5.

Cards with value less than five are : 2,3,4,5

Total number of cards will be 16.

Probability = 16/52

Also number of cards with values greater than five is 36

Probability = 36/52

Thus the expected value of the bet will be

   = 57*(16/52) + (-48)*(36/52)    [ negative sign as we have to pay if we loose to draw the required card]

   = 17.538 - 33.231

   = -15.693

Hence the expected value is -15.693

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Answer:

What is the circumference of a circle with diameter 8cm? Circumference of a circle = 3.14 x d 3.14 x 8 = 25.12 Therefore the circumference of a circle with the diameter of 8cm is 25.12cm. What is...

Step-by-step explanation:

Answer:

m = 2

Step-by-step explanation:

m - 2 = 2 - m

2m = 4

m = 2

Hello,

Answer: m = 2

Step-by-step explanation:

       m - 2 = 2 - m

⇔ m - 2 + m = 2 - m + m

⇔ 2m - 2 = 2

⇔ 2m - 2 + 2 = 2 + 2

⇔ 2m = 4

⇔ 2m/2 = 4/2

⇔ m = 2

The relation { (3,4), (-3, 8), (6,8) } is a function.

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

Explanation:

Choice A can be ruled out because we have x = -3 repeat itself for different y values. For any x input, there must be exactly one y output. This is assuming the x value is in the domain of course.

Choice C can be ruled out for similar reasoning. This time x = 3 repeats.

Choice D is the same story, but we go back to x = -3 showing up twice.

Choice B is the only thing left. Each x value is unique or only written one time. This graph passes the vertical line test. The other graphs fail the vertical line test (it is possible to draw a vertical line through more than one point).

Answer:

A) y=10x-4

Step-by-step explanation:

There are 10 full boxes which means 10x (since x is the boxes of pizza)

but there are 4 already eaten slices in one, which can be subtracted at the end, making the equation y=10x-4.

Hope this helped and feel better soon! :)

On solving the provided question, we can say that the linear function that can be formed is x + 4y= 16 and rate of change in linear function is 13

Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.

the linear function that can be formed is

x + 4y= 16

also, 2x = 26y

rate of change in linear function is 13

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Minimum value is 103, lower quartile (Q1): median of first 15 values s 137, median (Q2): median of all 30 values is 153.5, upper quartile (Q3): median of last 15 values is 174 and maximum value is 216

To construct a boxplot from the given data, follow these steps:

1. Arrange the data in ascending order.
2. Find the minimum value, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum value.

Arranged data:
103, 105, 114, 121, 128, 133, 134, 137, 140, 142, 143, 144, 150, 153, 160, 161, 163, 166, 169, 171, 173, 174, 175, 177, 179, 181, 189, 206, 212, 216

Minimum value: 103
Lower quartile (Q1): Median of first 15 values = 137
Median (Q2): Median of all 30 values = 153.5
Upper quartile (Q3): Median of last 15 values = 174
Maximum value: 216

Based on the calculated values, the important characteristics of the boxplot are as follows:

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Answer:

113% = 113 / 100

Step-by-step explanation:

Answer:

5:2 please give me brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw the diameter from point (-1, -5) to point (2, 3).

The triangle has base 3 and height 8.

The diameter of the semicircle is the hypotenuse of the triangle.

The radius is half the diameter.

The total area is the area of the triangle plus the area of the semicircle.

Answer:

A) 10.5+7.25\(\pi\)units²

Step-by-step explanation:

This can be divided into a semicircle and a right triangle.

The area of the right triangle is (1/2)(7)(3)= 10.5

the radius of the semicircle is

\(d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}\)

\(r=(1/2)(\sqrt{58}\)

\(A=(1/2\pi (1/2)(\sqrt{58)^{2} }\)

\(A=58\pi /8\)

\(A=7.25\pi\)

\(---------\)

hope it helps..

have a great day!!

An investment earning 9% compounded annually will triple in 11 years. An investment earning 8% compounded quarterly will triple in 9 years.

Formula to find the time required for an investment to triple

If P is the initial investment amount, then the formula to find the time required for an investment to triple at r% annual interest compounded n times per year is:

t= log(3P)- log(P)}*(1/(n*log(1+ {r}/{100n))

Where P is the principal amount, n is the number of times compounded per year, r is the annual interest rate, and t is the time to triple the investment.

Rounded to the nearest month, a) An investment earning 9% compounded annually will triple in 11 years.

b) An investment earning 8% compounded quarterly will triple in 9 years.

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Using the long division method, it is proved that (x + 2) is a factor of (x³ + 8), because the result of the remainder is 0.

To show that (x + 2) is a factor of (x³ + 8) using long division, we can divide (x³ + 8) by (x + 2) and see if the remainder is 0. If the remainder is 0, then (x + 2) is a factor of (x³ + 8). Here's how the long division would look:

        x² - 2x + 4

x+2 | x³ + 0x² + 0x + 8

      - (x³ + 2x²)

    --------------------

         -2x² + 0x + 8

       - (-2x² - 4x)

         ---------------

              4x + 8

            - (4x + 8)

              --------

                 0

Since the remainder is 0, we can conclude that (x + 2) is a factor of (x³ + 8).

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Answer:

180 meters

Step-by-step explanation:

Distance from the balloon to the boat = 108 meters

Distance from the boat to the shore = 144 meters

Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.

Let the length of the hypotenuse = l

Using Pythagoras Theorem

\(l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters\)

The distance from Fossett's balloon to the shore is 180 meters.

Fossett's balloon is 180m from the shore

data;

To solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.

\(x^2 = y^2 + z^2\\\)

Let's substitute the values and solve

\(x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m\)

Fossett's balloon is 180m from the shore

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The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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Answer:

x - 6

took the assignment

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

25n

Step-by-step explanation:

product of n and 25

Product means multiply

25n