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Answer:

x = 4

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (10 - -2)/(4 - 4) = 12/0

so slope is undefined

therefore the line is a vertical line, which is x = 4

The necessary expression for calculating the average rate of change inside the given function f(x) is given using :

f'(x) = (f(9) - f(2))/7

It quantifies how significantly the function changed per unit on average over that time interval. The slope of the single direction connecting every interval's ends on the function's graph is used to calculate it.

As we can see, slope is another way of calculating the average change rate. The average rate of change is calculated by dividing the difference in the dependent  (y-term) by the difference inside the independent variable (x-term). The slope, as well as average rate of change are the same thing.

The function is given to f(x)

The interval is given to be [2,9]

Let a = 2 and b = 9

The expression which is used to determine the average rate of change in f(x) is given by

f'(x) = (f(b) - f(a))/b - a

f'(x) = (f(9) - f(2))/7

The necessary expression for calculating the average rate of change inside the given function f(x) is given using :

f'(x) = (f(9) - f(2))/7

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The results of the computation using the laws of exponents are 2^12 and 2401/256

When we have two numbers, one serving as the base and the other being the index, we could be able apply the laws of indices when we are solving the problem. There are several laws of indices such as; multiplying, dividing, power of 0, brackets, negative and fractional powers.

In order to solve these problems, we need to apply the statements of the laws of indices.

In the first case we have;

2^16 ÷ 2^4

2^16/2^4

Using the subtraction law;

2^16 - 4 = 2^12

Again;

(7/4)^4

By the power law

7^4/4^4 = 2401/256

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Answer: 5m

Step-by-step explanation: multiply the numbers.

The statement "twice a number y increased by seven " can be expressed by the algebraic expression is 2y+7.

A mathematical construct called an algebraic expression is made up of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).

Let us take an expression 5a²+2c+7 is an algebraic expression. Where

a,c are variables 5 and 2 are coefficients and 7 is the constant.

The given statement is "Twice a number y increased by seven". let us break it into smaller parts:

Twice a number y is represented by 2y , then it is increased by 7 . So the required expression comes out as 2y+7.

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Answer:

Step-by-step explanation:  Use Pythagorean Theorem

                              [tex]a^2 + b^2 = c^2\\[/tex]

                            [tex]15^2 + b^2 = 9^2\\[/tex]

                          [tex]225 + b^2 = 81[/tex]

                            [tex]- 255[/tex]        [tex]-255[/tex]

                             -------------------

                              [tex]b^2 = 174\\[/tex]

                             [tex]b^2 = \sqrt{-174}[/tex]    

It arrives 1 hour early in Kathmandu, if its average speed is increased by 5 km/h;

Average speed = 45 km/h;

Total time taken to arrive Kathmandu from Biratnagar = 10 hours

∴ Distance between Kathmandu and Biratnagar = Speed × Time

                                                                                    = 45 × 10

                                                                                    = 450 km;

If average speed is increased by 5 km/h, new average speed = 50 km/h;

New time to reach Kathmandu = Distance/ Time

                                                   = 450/50

                                                   = 9 hours;

It arrives 10 - 9 = 1 hour early in Kathmandu;

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The equation of a circle in the xy-plane is found as (x + 2)² + (y - 1)² = 5.

A circle is a two-dimensional closed figure in which the set of all points with in plane is equidistant from the a given point known as the "centre."

Circle Formula: (x - h)² + (y - k)² = r² ;

Where, (h, k) is the centre & r is the radius of the circle.

Use the distance formula for(-2, 1) and (0,2)

[tex]\begin{aligned}&r=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} \\&r=\sqrt{(0+2)^2+\left(2-1\right)^2} \\&r=\sqrt{(2)^2+\left(1\right)^2}\end{aligned}[/tex]

Further simplifying;

r = √(4 + 1)

r = √5

Centre (h, k) = (-2, 1)   Radius (r) = √5.

(x - h)² + (y - k)² = r²

(x + 2)² + (y - 1)² = √5²

(x + 2)² + (y - 1)² = 5 is the equation of the circle.

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The quotient of the quantity (30 × 10⁻²⁴)/(5 × 10⁻²⁴)  is found out to be 6 × 10⁰.

For writing exceptionally large or extremely small numbers, scientific notation is comparable to shorthand. A process is limited to a number multiplied by ten rather than written in decimal form.

Now, as per the expressed equitation;

= (30 × 10⁻²⁴)/(5 × 10⁻²⁴)

Divide the numerator (30 × 10⁻²⁴) by denominator (5 × 10⁻²⁴) by the quotient.

= 6 × 10⁰

Therefore, the quotient of the quantity (30 × 10⁻²⁴)/(5 × 10⁻²⁴)  is calculated as 6 × 10⁰.

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For given scenario the dependent variable would be the life of flowers.

For given question,

The variable that researchers are trying to explain or predict is called the

response variable. It is also sometimes called the dependent variable

because it depends on another variable.

The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.

The amount of sugar would be an independent variable and the life of flowers is a dependent variable.

Therefore, for given scenario the dependent variable would be the life of flowers.

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Using an exponential function, it is found that 7 rounds are needed before all 1560 members are called.

An exponential function is modeled as follows:

[tex]y = ab^x[/tex]

In which:

Considering that initially one person knows the method, and then each person will call 3 other people, the parameters are given as follows:

a = 1, b = 3.

Hence the number of people that are called after x rounds is given by:

[tex]y = 3^x[/tex]

The number of rounds that will take for the 1560 members to be called is found as follows:

[tex]3^x = 1560[/tex]

[tex]\log{3^x} = \log{1560}[/tex]

[tex]x\log{3} = \log{1560}[/tex]

[tex]x = \frac{\log{1560}}{\log{3}}[/tex]

x = 6.69.

Rounding up, as at the end of the 6th call not all members will have been called, 7 rounds are needed before all 1560 members are called.

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Answer:

[tex]A = \frac{a+b}{2} + h[/tex]

Step-by-step explanation:

A is the area. a and b are the lengths of the two bases. h is the height of the trapezoid.

Answer:

Step-by-step explanation:

A=[tex]\frac{base1+base2}{2}height[/tex]

The value of the angle DCH is 72 degrees

The given parameters are

m = 11x+1,

DCH = 8x,

DCB = 172°.

The above means that:

11x + 1 + 8x = DCB

This gives

11x + 1 + 8x = 172

Evaluate the like terms

19x = 171

Divide both sides by 19

x = 9

Substitute x = 9 in DCH = 8x,

DCH = 8 * 9

Evaluate

DCH = 72

Hence, the value of the angle DCH is 72 degrees

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The domain of the function is -4 ≤ x ≤ 1.5. The correct answer is option B.

What is Domain ?

A domain is the possible independent variable value of a function. In a two dimensional graph, the independent variable is x - axis.

From the given graph, tracing the line of the equation to the x - axis, the independent variable value span from x = -4 to x = 1.5.

So, we can say that the domain of the function is -4 ≤ x ≤ 1.5

Therefore, the correct answer is option B.

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The sampling process used by the school newspaper is convenience sampling.

Convenience sampling is the most popular kind of sampling that concentrates on gathering data from individuals (the sample) who are 'convenient' for the researcher to reach. With this sample strategy, researchers can choose subjects at random who are receptive to being contacted and participating in the study rather than selecting participants at random based on any set of criteria (such as demographic variables). This implies that one can locate your sample at any time and any place, such as among individuals in a mall, on the street, at work, or in an online community.

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The result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.

Refer to the graph given below:

Therefore, the result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.

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Answer:

cluster estimation is to estimate sums when the numbers being added cluster near in value to a single number. it is 100 in this case.

estimate sum = 100x4 = 400

Step-by-step explanation:

Answer:

440

Step-by-step explanation:

Round all of the numbers, and then add them.

Please give brainliest if this was helpful!

(-1, 2))

You just to make use of the Midpoint Formula to solve for the missing coordinate

Midpoint Formula

((x1 + x2)/2, (y1 + y2)/2)

Midpoint (0,-1) end point (1,-4)

Let x1 = 1, the x coordinate of the endpoint

Let x2 = the x coordinate of the unknown endpoint

Let y1 = -4, the y coordinated of the endpoint

Let y2 = the y coordinated of the unknown endpoint

Just plug in the values and do the calculations

For the x coordinate of the unknown endpoint

(x1 + x2)/2

(1 + x2)/2 = 0

1 + x2 = 0

x2 = -1

For the y coordinate of the unknown endpoint

(y1 + y2)/2

(-4 + y2)/2 = -1

-4 + y2 = -2

y2 = -2 + 4

y2 = 2

So the coordinates of the other endpoint are (-1,

Four variables that are most important to control in an experiment about the rate at which bread turns moldy are:

So, the variables that are most important in an experiment about the rate at which bread turns moldy are:

Therefore, four variables that are most important to control in an experiment about the rate at which bread turns moldy are:

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The correct question is given below:
Choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.

a. humidity

b. B time of day

c. age of bread

d. type of bread

e. shape of bread

f. height of observer

g. type of shelf surface

h. type of storage container

When out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400

Given,

Number of females = 2268

Consider the total number students as x

Percentage of male = 58%

Then the equation will become

x-2268= x×[tex]\frac{58}{100}[/tex]

x-2268=0.58x

x-0.58x=2268

0.42x=2268

x=5400

Hence, when out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400

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Answer:

hold up

Step-by-step explanation:

عد اس مراس whats this mean??

Answer:

.50 = equally likely as unlikely

1 = certain

.25 = unlikely

0 = impossible

.75 = likely

Step-by-step explanation:

Think of these as percentages, it'll help you figure out.

.50 is 50%

1 is 100%

.25 = 25%

0 is 0%

.75 = 75%

The proportion of heads and the proportion of tails p(H) + p(T) = 1.

Let p(H) represent the long-term probability that the coin will land on heads, and p(T) represent the long-term probability that the coin will land on tails.

Keep in mind that we must be at a tail and transition with a probability of 0.5 in order to get a head. So, p(H) = 0.5p(T).

Noting that we can either be at a head and transition to a tail with a probability of 1, or at a tail and transition to a tail with a probability of 0.5, we can obtain a tail. p(T) therefore equals 0.5 * p(T) + p(H).

Note that p(T) = 2 p is the result of the first two equations (H). We obtain p(H) = 1/3 and p(T) = 2/3 by substituting into p(H) + p(T) = 1. So, eventually, we'll have two-thirds of the coins with heads and one-third with tails.

The probability of finding three heads is 1/4. We should find the probability of finding three heads in five tosses with the help of the following formula:

p(x) = (x+1) C x-1 p(3 Heads)

p(x) = (5+1) C 4 -1p(3 Heads) = 7/8.

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Answer:

Julia would have spent 41 minutes.

Step-by-step explanation:

We know that the equation is 2m - 9, and that m is equal to 25.

So all we have to do is solve.

2m - 9

= 2(25) - 9

= 50 - 9

= 41

So Julia practiced 41 minutes that day.

Hope this helped! :D

When each box cost $3.59, the cost per ounce will be $0.23 ounce.

In the box of Toasted O’s cereal, there are 15.4 ounces of cereal and each box cost $3.59.

Therefore, the cost per ounce will be:

= Total amount / Number of ounce

= $3.59 / 15.4

= $0.23 per ounces

Therefore, when each box cost $3.59, the cost per ounce will be $0.23 ounce.

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The equation of the parabola in vertex form is y=-2(x-4)²+4.

Given that the vertex point is (4,4), (3,2).

The equation of a parabola in vertex form is y=a(x-h)²+k where a is called stretch coefficient and the point (h,k) is the vertex of the parabola.

A parabola with its vertex at the point (4,4), therefore h=4,k=4 and we can write

y=a(x-4)²+4

To find the value of a we use the point (3,2). Substituting on the equation we get:

y=a(x-4)²+4

2=a(3-2)²+4

2=a(1)²+4

2=a+4

2-4=a

-2=a

Then the equation of the parabola in vertex form is y=-2(x-4)²+4.

Hence, the equation of the parabola in vertex form from the given point (4,4), (3,2) is y=-2(x-4)²+4.

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Answer:  The answer is "54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF."

I took the test.

The partial fraction decomposition of the given expression can be written as

[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]

What is the partial fraction and quadratic equation?

The expression which is in the form of a rational equation can be converted to multiple fractions by performing factors of the denominator equation. And later split the fraction expression into two or more simpler fractions which form a partial fraction.

A quadratic expression is a second degree polynomial equation whose coefficients are real numbers. It comes from the word “quad” which means “square”. And that is why the degree of a quadratic equation is two.

According to the question, the factors of the denominator expression which is quadratic in nature:

[tex](x^{2} +x-30)=(x-5)(x+6)[/tex]

Now, the factors of the given expression are possible. The the partial fraction can be written as:

[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]

The factors of the second equation are not possible.

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When, the coordinate a and b are colinear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5

Given,

The coordinates a and b are colinear.

The point b lies between a and c

Therefore,

ac = ab + bc

ac= 36

ab= 2x+4

bc= 4x+2

Substitute the values

36= 2x+4 + 4x+2

36= 6x+6

6x= 36-6

6x=30

x=5

Hence, when the coordinate a and b are co-linear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5

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