Factorise the following

[tex]4 {a}^{2} v {}^{5} - 18av {}^{2} [/tex]
​

Answer:

I think it should be -2.5,-4.5

Answer: Yes the answer is -2.5 , -4.5

Step-by-step explanation:

This is not only because the X axis is always first, but also because the lines are not perfectly centered. Hope this helps! Give the other person brainliest, they answered first and they have never gotten one.

Answer:

y = (1/3)x - 5

Step-by-step explanation:

x - 3y = 15

x - 15 = 3y

3y = x -15

y = (1/3)x - 5

Hello !

Answer:

[tex]\boxed{y=\frac{1}{3}x-5}[/tex]

Step-by-step explanation:

An equation in slope-intercept form is [tex]y=mx+b[/tex].

Let's isolate y in our equation :

[tex]x-3y=15\\-3y=-x+15\\3y=x-15\\y=\frac{1}{3}x-5[/tex]

Our equation is in the form [tex]y=mx+b[/tex] with [tex]m=\frac{1}{3}[/tex] and [tex]b=-5[/tex].

Have a nice day

The proportion that could be used to find the width of Grace's model car is 1/2 = Model width / 12 inches.

To find the width of Grace's model car, a proportion can be set up using the lengths of the actual car and the desired model:

Proportion: Actual width / Actual length = Model width / Model length

Given values:

Actual length = 8 feet

Actual width = 4 feet

Model length = 12 inches

Converting the units:

12 inches = 1 foot (since 1 foot = 12 inches)

Substituting the values into the proportion:

4 feet / 8 feet = Model width / 12 inches

Simplifying the proportion:

1/2 = Model width / 12 inches

To find the model width, cross-multiply and solve for the unknown:

Model width = (1/2) * 12 inches = 6 inches

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Answer:

4/3

Step-by-step explanation:

Tan(x)=Opposite/adjacent

We need to find the opposite side.

We can use the Pythagorean theorem to help us:

5^2=3^2+x^2

25=9+x^2

16=x^2

x=4

4 is the measure of the opposite side

The adjacent side has measure of 3

Tan(theta)= 4/3

*theta is the weird 0 with a bar thingy at the angle, its some letter in the greek alphabet that denotes an unknown angle in geometry

The coordinates of vertices U(1 , -3) , V(4 , -3) , T(1 , -4) , W(4 , -4) becomes

U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4) after the reflection across x-axis occurs.

Solution:

When a point is reflected across the x-axis, the x-coordinate remains unchanged, but the y-coordinate is assumed to be the additive inverse. Point (x, y reflection )'s across the x-axis is (x, -y).

the point (x , y)→ (x , -y).

In the question given 4 coordinates,

U(1 , -3)

V(4 , -3)

T(1 , -4)

W(5 , -4)

the reflection across x-axis

U(1 , -3) →U' (1, 3)

V(4 , -3) → V'(4 , 3)

T(1 , -4) → T'(1 , 4)

W(5 , -4) → W'(5 , 4)

so  after the reflection across the x axis the coordinates of the vertices becomes ,

U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4)

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complete question:

Find the coordinates of the vertices of each figure after the given transformation

3) reflection across the x-axis

Enter Question Text

A U'(1,3),V'(4,3), W'(5,4),T'(1,4)

B U'(3,1),V'(3,4,), W'(4,5),T'(4,1)

D U'(-1,3),V'(-4,3), W'(-5,4),T'(-1,4)

(3)(4-3);W(Sp-4)T(4)

U

T

X

The possible value of positive constant b for an absolute maximum value of function g(x), [tex]g(x) = xe^{-x} + be^{-x} [/tex] at x = [tex] \frac{2}{3} [/tex] is equals to the [tex] \frac{1}{3} [/tex].

An absolute maximum point is a point where the function acquires its largest possible value. To drive the max or min absolute value, we have to substitute the derivative value of function equals to zero. We have a function, [tex]g(x) = xe^{-x} + be^{-x} [/tex], where b is positive constant. We have to determine the possible value of b for absolute maximum of g at x= 2/3.

Differentiating the function g(x) with respect to x

=> [tex]g'(x) = - x e^{-x} + e^{-x} - be^{-x} [/tex]

[tex]= (1 - x - b )e^{-x}[/tex]

[tex]= \frac{1 - x - b }{e^{x}}[/tex]

For obtaining absolute maximum value put, g'(x) = 0

=> [tex]\frac{1 - x - b }{e^{x}} = 0[/tex]

Substitute x = 2/3, in above expression,

[tex] \frac{1 - \frac{2}{3} - b }{e^{\frac{2}{3}}} = 0[/tex]

=> [tex]1 - \frac{2}{3} - b = 0[/tex]

=> [tex] b = \frac{1}{3}[/tex]

Hence, the required value of b is [tex] \frac{1}{3} [/tex].

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Complete question:

Let g(x)=xe^(-x)+be^(-1), where b is a positive constant. For what positive value of b does g have an absolute maximum at x=2/3 .Justify your answer.

The value of the standardized test statistic for this significance test is -1.3

For the standardized test statistic for this significance test, we need to compare the sample proportion to the hypothesized population proportion.

The null hypothesis (H₀)  

H₀: The proportion of patients missing a medical justification for opioid prescriptions at the hospital is equal to 30%.

The alternative hypothesis (H₁)

H₁: The proportion of patients missing a medical justification for opioid prescriptions at the hospital is different from 30%.

The sample size is 25 and 5 of those files are missing a medical,

The sample proportion (p) can be calculated as

(p) hat = (Number of files missing justification) / (Total number of files)

(p) hat = 5 / 25

(p) hat = 0.2

The standard error is given by

SE = √[((p) hat × (1 - (p) hat)) / n]

SE = √[(0.2 × (1 - 0.2)) / 25] = √(0.16 / 25) = 0.08

For the standardized test statistic, we use the formula:

z = ((p) hat - p₀) / SE

where p₀ is the hypothesized population proportion.

p₀ = 30% = 0.3

z = (0.2 - 0.3) / 0.08 = -0.1 / 0.08 = -1.25 = -1.3

The value of the standardized test statistic for this significance test is approximately -1.3

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The correct matching of the items of math in the columns is:

A composite number is a number that possesses additional factors besides 1 and its own value. The smallest number that can be divided evenly by all the denominators given is known as the least common denominator.

Non-numeric criteria are used to group data in categorical data. Fractions that have identical numerical values are referred to as equivalent fractions. When a line segment passes through the center of a circle and joins two points on its circumference, it is known as the circle's diameter.

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Answer:

  q = 2

Step-by-step explanation:

You want to find q such that the difference between the two roots of 3x²-5x+q is 1/3.

In quadratic ax²+bx+c, the sum of the roots is (-b/a). For roots p and s, this tells us ...

  p + s = -(-5)/3 = 5/3

The problem statement tells us the difference is ...

  p - s = 1/3

Adding these two equations gives ...

  2p = (5+1)/3 = 2

  p = 1 . . . . . . . . . . . . . divide by 2

  s = p -1/3 = 2/3 . . . . find the smaller root

The product of the two roots is (c/a) = (q/3):

  ps = (1)(2/3) = q/3

  q = 2 . . . . . multiply by 3

The value of q is 2.

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Kyra will receive $125 USD when she converts £67.50 to USD.

Given that, Kyra wants to convert some Australian dollars to pounds she received £67.50.

Exchange rate =

Exchange rates are typically quoted as currency pairs, where one currency is the base currency and the other is the counter currency.

To convert £67.50 into USD using the exchange rate of $1 = £0.54, you can multiply the amount in pounds by the exchange rate.

Here's the calculation:

£67.50 x $1/£0.54 = $125

Therefore, Kyra will receive $125 USD when she converts £67.50 to USD.

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An ounce of the chemical cost in 2018 is $98.54.

Given:

The function c(x) = 72 ⋅ (1.04)ˣ models the cost in dollars, c, of 1 ounce of a certain chemical used in a laboratory.

Exponential function, involves exponents. an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

In mathematics, an exponential function is a function of form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

x represents the number of years since 2010.

An ounce of the chemical cost in 2018 is,

= 72 × (1.04)⁸

= $98.54

Therefore, the cost is $98.54.

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It will take approximately 35 years for the population of San Diego to double if it grows at a rate of 2.0% per year.

To determine how long it will take for the population of San Diego to double, we can use the concept of exponential growth.

When a population grows by a fixed percentage, the formula to calculate the doubling time is given by:

Doubling Time = (log(2) / log(1 + growth rate))

In this case, the growth rate is 2.0% or 0.02 (expressed as a decimal). Plugging this value into the formula, we can calculate the doubling time.

Doubling Time = (log(2) / log(1 + 0.02))

Using a calculator, we can evaluate this expression:

Doubling Time ≈ 35 years

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The research method that involves collecting data repeatedly on the same person as he or she ages is longitudinal.

Longitudinal research involves studying the same group of individuals over an extended period of time, typically years or even decades. This type of research allows researchers to collect data on changes in behavior, attitudes, or health outcomes over time, and can provide valuable information on the effects of age, development, or life events on these outcomes. Longitudinal research can be especially useful in studying developmental processes, as it allows researchers to track changes in individuals as they grow and develop.

However, longitudinal studies can also be expensive and time-consuming, as researchers must track and collect data from the same group of individuals over many years, and there is a risk of attrition or drop-out over time.

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Answer:

Down below

Step-by-step explanation:

2)(-6,3)

where h=-6&k=3

(x-h)²+(y-k)²=R²

(x-(-3)²+(y-6)²=11²

(x+3)²+(y²-6²)=11²

3)(x-3)²+(y+4)²=25

(x-h)²+(y-k)²=R²

h=3

k=-4

(

C(3,-4)

4)(x+1)²+(y-6)²=361

(x-h)²+(y-k)²=R²

R²=361

√R²=√361

R=19

Answer:

The Correct answer is C

communicative property

The length of y of the triangle is y = 9√2 units

Given data ,

Let the Triangle be ΔABC , such that

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

On simplifying , we get

From the trigonometric relations , we get

sin θ = opposite / hypotenuse

sin 45° = 9 / y

Multiply by y on both sides , we get

y = 9 / sin 45°

On simplifying , we get

y = 9√2 units

Hence , the length is y = 9√2 units

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an equation to represent the relation is,

⇒ y = 10/x

We know that,

Proportion is extensively explained. Proportion is mostly discussed using ratios and fractions. A fraction is written as a/b, while a ratio is represented as a:b, and a proportion states that two ratios are equal. In this case, a and b can be any two integers. The ratio and proportion are important foundations for understanding numerous ideas in mathematics and science.

Since, The relation represents an inverse variation because as the values of x is increasing the values of y is decreasing.

Hence, We can formulate;

y = k/x

Plug y = 5, x = 2;

5 = k/2

Solve for k;

k = 5 x 2

k = 10

Thus, The required equation is y = 10/x

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The complete question is :

does the relation in the table represent direct variation, inverse variation, or neither? if it is direct or inverse variation, write an equation to represent the situation. Explain your answer

x 5, 10, 15, 20

Y 2, 1, 2/3, 1/2

Answer:

solve for k or x?

because x isnt on the equation.

i solved for k though

k = -1, 5

Step-by-step explanation:

Solved by simplifying both sides of the equation, then isolating the variable.

Answer:

  B, D, F

Step-by-step explanation:

You want the diagrams that show lines through the center of enlargement, where the smaller triangle is enlarged to form the larger triangle.

Each point in an enlarged figure is moved toward or away from the center of enlargement along a line through that center. That is, corresponding vertices of a triangle and its enlargement will lie on a line through the enlargement center.

The diagrams of interest are those that show lines through corresponding vertices of the triangles.

Diagrams B, D, F show lines through the center of enlargement.

__

Additional comment

The center of enlargement is marked in the attachment by a blue dot. Enlargement is by a factor of 3.

Points are moved away if the scale factor is greater than 1; toward the center of enlargement for a scale factor less than 1.

<95141404393>

Answer:

48m^2 + 56m

Step-by-step explanation:

-8m(-6m - 7)

Use the distributive property. (-8m*-6m & -8m*-7)

-8m*-6m = 48m^2

-8m*-7 = 56m

48m^2 + 56m

Answer:

2.02

Explanation:

Each pail of plaster covers 97 Square feet of ceiling

The ceiling of the room is 14 ft long

= 14×14

= 196

Therefore the pail of plaster that will be needed to cover the rooms can be calculated as follows

= 196/97

= 2.02

Answer: 28.8%

Step-by-step explanation:

First, add all the pizzas together. This gives us the total; 125

Next, put 36 over the total. 36/125.

Divide 36/125. Equals .288

When doing percentage, You multiply your decimal by 100, or bounce the decimal twice to the right. This gets you 28.8%

The mean absolute deviation of the given data set, 94, 86, 95, 99, 88, 90, is 4

The values differ from the mean by an average of 4.

From the question, we are to calculate the mean absolute deviation of the given data

The given data

94, 86, 95, 99, 88, 90

To calculate the mean absolute deviation of the given data,

First, we will calculate the mean

Mean = (94 + 86 + 95 + 99 + 88 + 90) / 6

Mean = 552 / 6

Mean = 92

Now,

We will determine the absolute value of the difference between each data and the mean

|94 - 92| = 2

|86 - 92| = 6

|95 - 92| = 3

|99 - 92| = 7

|88 - 92| = 4

|90 - 92| = 2

Now,

We will determine the mean of these absolute differences

Mean absolute deviation = (2 + 6 + 3 + 7 + 4 + 2) / 6

Mean absolute deviation = 4

Hence,

The mean absolute deviation is 4

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Therefore, the speed of the bird is approximately 1.001 kilometers per hour.

We can start by calculating the total distance the bird flew, which is the distance between the nest and the ditch multiplied by the number of round trips:

total distance = 2 × distance between nest and ditch × number of round trips

total distance = 2 × 200 meters × 15

total distance = 6000 meters

Next, we can calculate the bird's average speed by dividing the total distance by the time it took to make the trips:

average speed = total distance ÷ time

average speed = 6000 meters ÷ (1.5 hours × 3600 seconds/hour)

average speed = 0.278 meters/second

To convert this to kilometers per hour, we can multiply by the conversion factor of 3.6:

average speed = 0.278 meters/second × 3.6 kilometers/meter

average speed = 1.001 kilometers/hour

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Answer:

x = 2, 6

Step-by-step explanation:

differentiate f(x) using the power rule

f'(a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and f'( constant) = 0

given

f(x) = x³ - 12x² + 6x - 8

f'(x) = 3x² - 24x + 6

equate f'(x) to - 30

3x² - 24x + 6 = - 30 ( add 30 to both sides )

3x² - 24x + 36 = 0 ( divide through by 3 )

x² - 8x + 12 = 0 ← in standard form

(x - 2)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 6 = 0 ⇒ x = 6

solution is x = 2, 6

Answer:

Graph D

Step-by-step explanation:

We can look at the number of pounds of pecans and cashews, shown on the x- and y-axis, respectively.

All of the graphs have an x-intercept of (4, 0), meaning that the number of pecans being bought is 4 lbs.

Since pecans cost $6 per lb, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

$6 · 4 lbs = $24

Let's look at the y-axis to see how many lbs of cashews Malik can buy. The y-intercept is (0, 3) for all graphs, meaning that 3 lbs of cashews are being bought.

Since cashews cost $8 per pound, we can multiply the cost by 4 in order to make sure that the total cost is not exceeding $24.

$8 · 3 lbs = $24  

The shaded area represents the values that can be used in the problem. Since we want $24 or less, the shaded region has to be below the line.

Malik can spend no more than $24, so the line should be solid since this means that the values the line touches are inclusive. 4 lbs of pecans and 3 lbs of cashews should be inclusive.

The graph that has all of these properties is Graph D.

Answer:

what is 478/6 +7*25+78+123-568

Answer:

12 hours

Step-by-step explanation:

1 3/4=1.75

21÷1.75=12