need help with functions

Answer:

x = 30

Step-by-step explanation:

To find the x intercept, you need to substitute \(y = 0\), as all points on the x axis's y-coordinate is 0.

\(0 = 30000 - 1000x\\ \\ \to 0 + 1000x = 30000 \cancel{- 1000x + 1000x} \\\\ \to 1000x = 30000 \\ \\\to \frac{1000x}{1000} = \frac{30000}{1000} \\ \\\to x = 30\)

Answer: Its x= 30

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Look at where x=-1 and then look at the y-coordinate for that point. That is your answer

Answer:

horizontal shift left of 8 units.

Step-by-step explanation:

I'm gonna infer that the f(x + 8) is squared. If so, then it is a horizontal shift left of 8 units.

Answer:

14

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a

- (- ) = + given

| - 5 | - (- 9)

= 5 + 9

= 14

Answer:

14

Step-by-step explanation:

Be extremely careful with absolute values, parentheses, and subtraction.

\(\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14\)

Answer:

6

Step-by-step explanation:

18 ÷ 3 = 6

hope this helps...

Answer:

The answer is 6.

Step-by-step explanation:

You have to divide 18 and 3 together to get the per cake.

Hoped this helped!

Answer:

x=192

Step-by-step explanation:

48(2)

180-96=84

84x2=168

360-168=192

x=192

Answer:

the picture is unclear. please give me a more clear picture and i will answer you in comments

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

To learn more about the binomial expansion visit:

https://brainly.com/question/31363254.

#SPJ2

Answer:

77.5

Step-by-step explanation:

55 and 100 average provides comprehensive information about what is the average of 55 and 100, and how it is being calculated mathematically. To calculate the average, the given quantities 55 and 100 can be of any physical quantity but both should have been expressed in the same measurement units.

55 and 100 average:

= (55 + 100)/2,

= 155/2,

= 77.5

Answer:

the answer is True

Step-by-step explanation:

Answer:

-24 or B

Step-by-step explanation:

Because is she rises up 4, it is +4. Then subtract 28 from 4. That makes it -24.

The integer represents Gemma’s position with respect to sea level 24.

We have given that,

Gemma, a scuba diver, begins a dive on the side of a boat 4 feet above sea level. She descends 28 feet.

An integer is colloquially defined as a number that can be written without a fractional component.

We have to determine which integer represents Gemma’s position with respect to sea level

Because if she rises up 4, it is +4.

Then subtract 28 from 4. That makes it -24.

To learn more about the integer visit:

https://brainly.com/question/17695139

#SPJ5

Answer:

instructions within hardware.

Step-by-step explanation:

I think it work

Answer:

answer is c

just took the quiz

Step-by-step explanation:

The ratio that represents the tangent of ∠G in the given  right angled triangle GHI is found to be 13/85.

All right-angled triangles with as one of whose angles are similar if we fix an acute angle. As a result, the ratio between equivalent pairs of sides is the same in all such triangles are defined by trigonometric ratios.

The hypotenuse is the side that faces the right angle. We designate the leftover side as the adjacent and the side across as the opposite.

Given data:

ΔGHI is the right angled triangle at ∠I = 90°.

GI = 84, IH = 13, and HG = 85.

Then,

tanθ = opposite / adjacent.

tangent G = HI / GH

tangent G = 13/ 85

Thus, the ratio that represents the tangent of ∠G in the given  right angled triangle GHI is found to be 13/85.

Know more about trigonometric ratios

https://brainly.com/question/24349828

#SPJ1

The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ1

Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Answer:

$6 per cat, $10 per car

Step-by-step explanation:

I guess and checked my work.

1. -9(T-2)=4(T-5)

Distribute

-9t+18=4t-5

Sub 4 because t is a like term and it is positive so sign changes because it is in opposite sides.

-14t+18=-5

Sub 18 to like term which is -5

-14t=-23

Divide

T= -14/-23 or -0.4375

2. 2(4x+2)=4x

Distribute

8x+4= 4x

Sub 8x

4=-4x

Divide -4x

X=-1

3. 26-4s=9s

Sub -4s

26=5s

Divide 5s

5/26 or 0.03846154

Ur welcome if right plz vote brainliest

Statement Problem (2): Elijah is trying to find the midpoint of the segment joining 8+4i and

ANSWER:

STEP-BY-STEP EXPLANATION:

Using proportions, it is found that each of the pitchers for the Stingrays pitched for \(\mathbf{\frac{11}{3} = 3\frac{2}{3}}\) innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

\(3x = 11\)

\(x = \frac{11}{3}\)

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

You can learn more about proportions at https://brainly.com/question/24372153

Answer:

30 cents is the correct answer

Answer:

The sum is

The difference is

The product is

The quotient is

Given the conditions r'(t) = 8e^(4t)ti + 7e^tj and r(0) = 2i, we can find the function r(t). The function r(t) can be obtained by integrating the components of r'(t) with respect to t and applying the initial condition.

To find r(t), we integrate each component of r'(t) with respect to t. Let's break it down step by step:

Step 1: Integrate the x-component:

∫(8e^(4t)ti) dt = 8∫e^(4t)ti dt = 8∫e^(4t) dt = 8(1/4)e^(4t) = 2e^(4t)

Step 2: Integrate the y-component:

∫(7e^tj) dt = 7∫e^tj dt = 7∫e^t dt = 7e^t

Now we have the components of r(t): r(t) = 2e^(4t)i + 7e^tj.

Step 3: Apply the initial condition:

Since r(0) = 2i, we substitute t = 0 into the expression for r(t):

r(0) = 2e^(4(0))i + 7e^(0)j = 2i + 7j

Therefore, the function r(t) is given by r(t) = 2e^(4t)i + 7e^tj, satisfying the initial condition r(0) = 2i. This represents the position vector as a function of time, where the x-component is exponentially increasing with a growth rate of 4, and the y-component is exponentially increasing with a growth rate of 1.

Learn more about integrating here:

https://brainly.com/question/30900582

#SPJ11

The unit of measurement for coding the length of lacerations d)centimeters.

Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.

Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.

Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.

For more questions like Lacerations click the link below:

https://brainly.com/question/9080081

#SPJ4

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

To learn more about derivatives visit;

https://brainly.com/question/29144258

#SPJ4

Answer:

152.32

https://youtu.be/dQw4w9WgXcQ

the minimum sample size required for this study is 105.

What is margin of error?

In statistics, the margin of error is the level of inaccuracy in the findings of surveys using random samples. A wider margin of error in statistics denotes a reduced likelihood of relying on a survey's or poll's findings, meaning that there will be less confidence in the results' ability to accurately reflect a community. It is a crucial tool for market research since it shows the amount of assurance that should be placed in survey data by the researchers.

A confidence interval is a measure of how unpredictable a given statistic is. It is typically used in conjunction with the margin of error to indicate how confident a statistician is in determining whether or not the findings of an online survey or online poll are worthy of representing the full population.

The formula to find the sample size :

\(n=p(1-p)(\frac{z^{*} }{E} )2\)

, where p= Prior estimate of population proportion.

z* =  Critical value.

E= Margin of error.

Given : Prior estimate of population proportion : p= 0.025

We know that  , the critical value for 95% confidence interval :

z*= 1.96

E= 3.5%=0.035

Then , the required minimum sample size :

\(n=(0.035)(1-0.035)(\frac{1.96}{0.035})2\\\)

  \(=(0.035)(0.96)(56)^2\)

105.3696≈105

i.e. n= 105

Hence, the sample size needed : n= 105

Learn more about Margin of error link below

https://brainly.com/question/10218601

#SPJ4

The value of x in the triangles in diagram A and B is 9.28 respectively.

Triangle is a plane shape that has three sides.

(A) To solve for x in the triangle in diagram A, we use the formula below

Formula:

Where:

Substitute these values into equation 1 and solve for x

(B) Similarly, to solve for x in the triangle in diagram B, we use the formula below

Formula:

Where:

Substitute these values into equation 2 and solve for x

Hence, the values of x in A and B is 9.28 respectively.

Learn more about triangles here: https://brainly.com/question/28470545

#SPJ1