What is the answer to this question?

Find the value of X in the diagram.

The difference between a positive mixed number and negative mixed number is never positive is false.

Depending on how the phrases might be ordered

Hence the given statement, the difference between a positive mixed number and negative mixed number is never positive is false.

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The rearranged formula with the x as subject is x = 2y - 10

Formula

Formula refers a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal sign.

Given,

Here we have the formula y = 1/2x + 5

Now, we have to rearrange the given formula in order to make x as the subject.

Here we we need to find the formula, as x the subject,

So, the given formula,

y = 1/2 x+ 5

We have to move the number 5 to the left hand side, then the sign of the number changes into negative,

So, it can be written as,

=> y - 5 = 1/2x

Here we need the value of x alone, so move the number that is in division to the LHS, then it will be changed as multiplication, then we get,

=> 2 (y - 5)  =x

When we expand it, then we get,

=> 2y - 10 = x

Therefore, the formula that has x as subject is 2y - 10.

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The equations that are true include the following:

(8 × 7)/2 - 12 = 22 - (2 × 3)

48 ÷ 8 + 2³ = 5 + 3²

In order to determine the equations that have a true and valid solution, we would simplify and evaluate each of the equations as follows:

(8 × 7)/2 - 12 = 22 - (2 × 3)

Opening the bracket on both sides of the equation, we have:

56/2 - 12 = 22 - 6

28 - 12 = 16

16 = 16 (True).

48 ÷ 8 + 2³ = 5 + 3²

Evaluating the exponents, we have:

48 ÷ 8 + 8 = 5 + 9

6 + 8 = 14

14 = 14 (True).

150/5² = 30 - 4² - 12

Evaluating the exponents, we have:

150/25 = 30 - 16 - 12

6 = 2 (False and incorrect).

9² - 7² = 20 ÷ (7 - 2)

Opening the bracket, we have:

9² - 7² = 20 ÷ 5

Evaluating the exponents, we have:

81 - 49 = 4

32 = 4 (False and incorrect).

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The measurement of Angle ∠5=52°

when two parallel lines are cut by a transversal line, then the resultant alternate interior angles are equal.

In the given figure, lines AB║CD.

And ∠3=52, ∠5=?

By using alternate interior angle property ,

Angle ∠3 and ∠5 are cut by a transversal line, so this both angle will be equal

⇒∠3=∠5=52°

Here, the value of ∠5=52°

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Step-by-step explanation:

A quadratic equation is in the form of

[tex]ax {}^{2} + bx + c[/tex]

C is the y intercept a.k.a the value of c is when x=0,

when x is 0, c is -7 so

c=-7

[tex] {ax}^{2} + bx - 7 [/tex]

Next we know when x is 2, y is 1 so

[tex]a(2) {}^{2} + 2b - 7 = 1[/tex]

[tex]4a + 2b = 8[/tex]

When x is 5, y is -2

[tex]a(5) {}^{2} + b(5) - 7 = - 2[/tex]

[tex]25a + 5b = 5[/tex]

So we have a system of equations, using elimination.

[tex]5a + b = 1[/tex]

[tex] - 6a = 6[/tex]

[tex]a = - 1[/tex]

So

[tex]5( - 1) + b = 1[/tex]

[tex]b = 6[/tex]

Our quadratic is

[tex] - {x}^{2} + 6x - 7[/tex]

Answer:

x = 1

Step-by-step explanation:

- [tex]\frac{5}{2}[/tex] x + [tex]\frac{3}{4}[/tex] x = - [tex]\frac{7}{4}[/tex]

multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

- 10x + 3x = - 7

- 7x = - 7 ( divide both sides by - 7 )

x = 1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Given equation is:

[tex]-\frac{5}{2}x+\frac{3}{4}x=-\frac{7}{4}[/tex]

Simplifying the left side of the equation.

[tex]\frac{2(-5x)+3x}{4}=-\frac{7}{4}[/tex]

This is equivalent to:

[tex]\frac{-10x+3x}{4}=-\frac{7}{4}[/tex]

This gives:

[tex]\frac{-7x}{4}=-\frac{7}{4}[/tex]

This is equivalent to:

[tex]x=1[/tex]

Formula a = 2b + c in subject to b is b = a-c / 2

Changing the subject of formula is a way of rearranging formula to determine missing variable in terms of other variable

Changing the subject of formula is also known as rearranging formula or changing the subject of an equation.

Given ,

Formula : a = 2b + c

Subtracting by c on both sides,

=> a - c = 2b + c - c

=> a - c = 2b

Dividing by 2 on both sides,

=> [tex]\frac{a-c}{2} = b[/tex]

Formula in subject to b is

b = a-c / 2

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The differentiation or rate of change of the given function y = ln x² will be  2/x.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

y = ln x²

By log property

y = 2ln x

Take the first derivative,

dy/dx = 2/x

Hence "The differentiation or rate of change of the given function y = ln x² will be  2/x".

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The answer of the problem by the SAS similarity theorem sides is [tex]\frac{AC}{GI} = \frac{HI}{BC}[/tex].

What is the SAS similarity theorem of triangle?

According to the SAS similarity theorem, two triangles are considered similar if their included angles are congruent and their two sides are proportionate to one other.

It is also known as Side-Angle-Side similarity of two triangles.

There is a common ratio of sides in the given problem figure, which is,

                                   [tex]\frac{AC}{GI} = \frac{HI}{BC}[/tex]

Additionally, these similar sides produce equal relative angles,

                              ∠[tex]ACB =[/tex] ∠[tex]GIH[/tex]

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The probability that a single doe captured (weighed and released) at random in December is undernourished, using the normal distribution, is given by:

0.1271 = 12.71%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the weights are given as follows:

[tex]\mu = 67, \sigma = 7.9[/tex]

The probability that a doe is undernourished is the p-value of Z when X = 58, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (58 - 67)/7.9

Z = -1.14.

Z = -1.14 has a p-value of 0.1271.

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Answer:

35%

Step-by-step explanation:

35 divided by 100 = 0.35 = 35%

Answer: 15.5

Step-by-step explanation: The equation is a. Fill in the letters. 4=a. 15=b. so: Now solve. 4 squared is 16. 15 squared is 225. 225+16= 241.  15.5 is the answer. It's just the Pygotherean Method!

The value of x is 11x+4x=180 and x = 12

The correct option is option c)

What is interior angles?

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as supplementary angles.

We are given that the value of two angle is 11x and 4x

Since both lines are parallel and a line intersects both the lines

Hence the sum of these angles is 180 degrees

Hence we get an equation

11x+4x= 180

15x =180

x=12

Hence the correct option is option c)

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The percentage of $0.95 to $3.80: 25%

What is Percentage?

A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

The terms "out of 100" and "for every 100" can also be used to refer to percentages. For instance, you may say "it snowed 20% of the time" or "it snowed 20 days out of every 100 days."

A decimal can also be used to represent a percentage. For instance, 24 percent, 0.24, 24/100, or 24 hundredths could also be used to represent the percentage. By dividing the percentage by 10, you can obtain the percent in decimal form.

Given,

The material cost for one headband = $0.95

The cost of one headband sold = $3.80

Now to take the percentage of the cost of material of the headband to the selling price of the headband will be:

= (0.95/3.80) x 100

it can be also written as

= (0.95 x 100)/3.80

= 95 / 3.80

= 25%

Hence, The percentage of $0.95 to $3.80 is 25%

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In order to find the standard error of two samples, the following are needed:

1: Find the mean. .

2: Find each score's deviation from the mean. ...

3: Square each deviation from the mean.

4: Find the sum of squares.

5: Find the variance.

6: Find the square root of the variance.

The standard error is a statistical term that refers to the degree to which a sample distribution accurately represents a population using standard deviation.

A statistic's standard error is the standard deviation of its sampling distribution or an estimate of that standard deviation. The standard error of the mean is used when the statistic is the sample mean.

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To determine the standard error of two samples the following procedure are followed

First, determine the mean.

second: Calculate the variation between each score and the mean

third: Square each variation from the mean

4th: Determine the sum of the variance

5th: Determine the variance by dividing the sum in 3 by 1 less the number of sample

6th: Calculate the standard deviation by variance's square root

7th: find the square toot of the number of samples

lastly: divide the standard deviation by result of step 7

The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error.

It reveals how much the sample mean would change if you conducted the same study again with fresh samples drawn from a single population.

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Answer:

O Liquid water warms and changes to water vapor.​

Step-by-step explanation:

The Y coordinate of the new point is -1.28 y.

So, the new Y coordinate is:

The rule of dilation for the quadrilateral D is:

The new coordinate plan is:

Then, calculate the Y coordinate as follows:

Therefore, the Y coordinate of the new point is -1.28 y.

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Answer: $ 875

Step-by-step explanation:

3,500-0.03(4)

3,499.97/4

= $875

The correct y-intercept, slope, and equation for the line include the following:

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Note: Each interval on this graph represents 1 unit.

By critically observing the graph, we can reasonably and logically deduce the following points through which the line passes through:

Points (x, y) = (0, 4)

Points (x, y) = (10, 0)

Substituting the given parameters into the formula, we have;

Slope, m = (0 - 4)/(10 - 0)

Slope, m = -4/10

Slope, m = -2/5.

At point (0, 4), a linear equation for the line can be calculated by using the slope-intercept form:

y = mx + c

Where:

Substituting the given parameters into the formula, we have;

y = mx + c

y = -2x/5 + 4

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The length longer of the green caterpillar than the orange caterpillar is 2 1/2 inches.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the green caterpillar was 4 inches long and the orange caterpillar was 1 1/12 inches long.

The difference in length will be:

= 4 - 1 1/2

= 2 1/2 inches.

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Answer:

d = 2 and terms are 6, 8, 10 12 and 14

Step-by-step explanation:

we know

[tex] a_{n} = a_{1} + (n-1)d [/tex]

here a(n) = nth term

a1 = 1st term

n = no. of term

d = common difference

putting the values we get,

178 = 6 + (87-1)d

⇒ 178 = 6 + 86d

⇒86d = 172

⇒ d = 2

So required common difference is 2.

Now the first term is 2

so second term is a2 = 6 + ((2-1)×2) = 8

third term = 6 + ((3-1)×2) = 10

fourth term = 6 + ((4-1)×2) = 12

fifth term = 6 + ((5-1)×2) = 14

Using the angle sum property and the definition of congruency, the measure of angle G is determined to be 118°.

Therefore,

ΔCAT ≅ ΔDOG

m∠C = 25°

m∠O = 37°

The following formula is used to determine angle ∠G:

According to the definition of congruency, the arrangement of the letters in the congruency statement shows that angle ∠C is congruent to angle ∠D, angle ∠A is congruent to angle ∠O, and angle T is congruent to angle ∠G, indicating that we have;

m∠C = m∠D = 25°

m∠A = m∠O = 37°

m∠T = m∠G

The measure of angle ∠G and angle ∠T can therefore, be found from the angle sum property of the interior angles of a triangle.

m∠C + m∠A + m∠T= 180° (angle sum property of a triangle)

m∠D + m∠O + m∠G= 180° (angle sum property of a triangle)

m∠G = 180° - (m∠D + m∠O) (subtraction property of equality)

m∠G = 180° - (25° + 37°) = 118°

The measure of angle ∠G, m∠G is 118°

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In the national park, the probability that a single doe captured (weighed and released) at random in December is undernourished is 25.5%

Data is symmetrically distributed and skew-free in a normal distribution. When the data is shown on a graph, it has the shape of a bell, with the majority of values congregating in the center and diminishing as they move outward.

Due to their structure, normal distributions are sometimes known as bell curves or Gaussian distributions.

Assuming normal distribution we calculate the probability as follows

Definition of variables

mean adult female deer, μ = 67.0 kg

Standard deviation, σ = 7.9 kg

sample, X = 58

Z score, z is given by the formula

= (X - μ) / σ

= (58 - 67) / 7.9

= -1.139 has a p value of 0.2546

P = 25.5%

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The value of 4x - 16y is -11.

4x - 16y = -11.

Given, two equations

−5x + 10y = 1 and −x − 6y = −10

Now, On subtracting both the equations, we get

−5x + 10y + x + 6y = 1 + 10

- 4x + 16y = 11

On multiplying both the sides by -1, we get

4x - 16y = -11

Hence, the value of 4x - 16y is -11

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Answer:  The correct answers are:

4^4 (same answer for the equation shown) = 256 (option# B) for the first one

((2^2)^4)*2^-5= 8 (option# B) for the first one

Step-by-step explanation: Confirmed correct

Answer:

First one:

[tex]2^{2} (3+1) *[2(7-5)]^{2}[/tex]

= [tex]2^2(4)* [2(2)]^2[/tex]

= [tex]2^2(4)(4)^2[/tex]

= [tex]2^2(4)(16)[/tex]

= [tex]2^2*2^2*2^4[/tex]

= [tex]4*4*4^2[/tex]

= [tex]4^4[/tex]

The answer is four

and for the second one:

[tex]2^8*\frac{1}{2^5}[/tex]

[tex]2^3 = 8[/tex]

the answer is 8

Answer:

9i

Step-by-step explanation:

         i² = -1

      [tex]\sqrt{-81}=\sqrt{81i^2}\\[/tex]

                [tex]\sf \bf = \sqrt{9*9*i * i}\\\\ = 9i[/tex]

The true statement is that the counterexample must satisfy the conclusion of the conditional statement.

A counterexample is a situation in which the hypothesis and conclusion are both accurate. We employ a counter example to show that a conditional assertion is untrue.

The true statement regarding the counterexample can be written as a conditional assertion.

This is shown to be untrue by a counterexample,

Therefore, only one counter-example is enough to demonstrate the falsity of a proposition. In this case where a counterexample is used to refute a conditional statement.

The counter-example should be supported the conditional statement's hypothesis.

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The probability that a brand new battery lasts for atleast 2 years is 0.801

From the question, we have the following parameters that can be used in our computation:

Mean, λ = 3 years

The probability of a Poisson distribution is represented as

P(x) = λˣe⁻λ/x!

In this case,

x = At least 2

This means that

x = 2, 3....

So, we have

P(x ≥ 2) = 1 - P(0) - P(1)

This gives

P(x ≥ 2) = 1 - 3⁰ * e⁻³/0! - 3¹ * e⁻³/1!

Evaluate

P(x ≥ 2) = 1 - 0.0497 - 0.1494

Evaluate the difference

P(x ≥ 2) = 0.801

Hence, the probability is 0.801

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