if somebody's good at slope intercept forms i'd love your help on these questions

Answer:

He was 11

Step-by-step explanation:

if Camila was 4 years younger than her brother and she was seven. That means he is 4 years older than her. so 7+4=11

Answer:

Step-by-step explanation:

Answer:

1: (D)

2: (A)

3: (D)

4: (B)

5: (A)

Step-by-step explanation:

Question 1:

The local minimum is the lowest point in an area/interval of the function. That means the y-value will be the lowest, so it's either (-2, -15) or (2, -15). However, only (2, -15) is listed as an answer choice, so that's your answer.

Question 2:

The graph starts at the x-value of 0 and continues forever as x increases positively. The answer is x >= 0.

Question 3:

The first term of the sequence if -1.5, so replace n with 1:

f(1 + 1) = -2f(1)

Then replace f(1) with -1.5:

f(2) = -2 * -1.5

f(2) = 3

The next term of the sequence is 3.

Question 4:

On the graph, there are two different outputs (y-values of 3 & -2) for one input (x-value of 1). You can either remove (1, 3) or (1, -2), but since only (1, 3) is listed as an answer choice, that's your answer.

Question 5:

The formula represents the conversion from Fahrenheit to Celsius, so C(76.1) would be the temperature of 76.1 degrees Fahrenheit being converted to degrees Celsius since Kareem stated in the question that 76.1 was degrees Fahrenheit.

Hope this helps (●'◡'●)

Answer: \(\dfrac14\)

Step-by-step explanation:

Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.

Let  orange candy= cherry = lemon = strawberry  = x

Total candies = x + x + x + x= 4x

The probability that a randomly selected candy is orange = \(\dfrac{x}{4x}=\dfrac14\)

Hence, the probability that a randomly selected candy is orange = \(\dfrac14\)

Answer:

-15

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

This because the additive inverse is the opposite number. If you where to use a number line, you would have the same amount of spaces from zero as 15. that is an additive inverse.

The required correct answers are;

1 - (1 1/3 x, 1 1/3 y)

4 - (3 1/10 x, 3 1/10 y)

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

The following algebraic rules represent a dilation that is an enlargement:

1 - (1 1/3 x, 1 1/3 y)

4 - (3 1/10 x, 3 1/10 y)

The scale factor in both of these rules is greater than 1, which means that the dilation is an enlargement. In rule 1, the scale factor is 1 1/3, and in rule 4, the scale factor is 3 1/10.

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Complete question:

Which of the following algebraic rules that represent a dilation that is an enlargement?

Select 2 correct answers

1 - (1 1/3 x, 1 1/3y)

2 - (1/2 x, 1/2y)

3 - ( 0.1 x, 0.1 y)

4 - (3 1/10 x, 3 1/10y)

The sales of the laser saber can be determined by calculating the difference between the number of invisible shields and x-ray vision glasses, and then multiplying that result by 1.5.

Let's assume that the number of invisible shields is represented by the variable "IS" and the number of x-ray vision glasses is represented by the variable "XVG".
The formula for calculating the sales of the laser saber would then be:

Sales of laser saber = 1.5 * (IS - XVG)
In terms of the given terms, the sales of the laser saber can be expressed as being equal to 1.5 times the difference between the number of invisible shields and x-ray vision glasses.

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Given the graph in the attached image.

The red line represents f(x) and the blue line represents g(x);

From the graph;

The intercept, b, of f(x) is

and the slope, m, of f(x) is;

So, f(x) is;

For g(x)

The y-intercept, b, of g(x) is;

and the slope, m, of g(x) is;

So, g(x) is;

To derive the solution, let us equate the two equations;

Answer:

30.7

Step-by-step explanation:

Answer:

The center is ( 1,-3) and the radius is 3

Step-by-step explanation:

The equation of a circle can be written in the form

( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius

(x-1)^2 + (y+3)^2= 9

(x-1)^2 + (- -3)^2= 3^2

The center is ( 1,-3) and the radius is 3

Answer:

RHS=tanA/2

Step-by-step explanation:

LHS=1+sinA-cosA/1+sinA+cosA

=(1-cosA)+sinA/(1+cos A)+sinA

=2sin^2A/2+2sinA/2*cosA/2

_____________________

2cos^2A/2+22sinA/2*cosA/2

=2sinA/2(sinA/2+cosA/2)

___________________

2cosA/2(sinA/2+cosA/2)

sinA/2

=_____

cosA/2

= tanA/2 proved.

Answer:  see proof below

Step-by-step explanation:

Use the following Double Angle Identities:

sin 2A = 2cos A · sin A

cos 2A = 2 cos²A - 1

Use the following Quotient Identity: tan A = (sin A)/(cos A)

Use the following Pythagorean Identity:

cos²A + sin²A = 1   -->   sin²A = 1 - cos²A

Proof LHS → RHS

Given:                            \(\dfrac{1+sin\theta - cos \theta}{1+sin \theta +cos \theta}\)

Let Ф = 2A:                    \(\dfrac{1+sin2A - cos 2A}{1+sin2A +cos2A}\)

Un-factor:                       \(\dfrac{\bigg(\dfrac{1- cos^2\ 2A}{1+cos\ 2A}\bigg)+sin\ 2A }{1+sin\ 2A +cos\ 2A}\)

Pythagorean Identity:   \(\dfrac{\bigg(\dfrac{sin^2\ 2A}{1+cos\ 2A}\bigg)+sin\ 2A }{1+cos\ 2A +sin\ 2A}\)

Simplify:                          \(\dfrac{sin\ 2A}{1+cos\ 2A}\)

Double Angle Identity:   \(\dfrac{2sin\ A\cdot cos\ A}{1+(2cos^2 A-1)}\)

Simplify:                          \(\dfrac{2sin\ A\cdot cos\ A}{2cos^2\ A}\)

                                   \(=\dfrac{2sin\ A\cdot cos\ A}{2cos^2\ A}\)

                                   \(=\dfrac{sin\ A}{cos\ A}\)

Quotient Identity:       tan A

\(\text{Substitute} A = \dfrac{\theta}{2}}:\qquad tan\dfrac{\theta}{2}\)

\(tan\dfrac{\theta}{2} = tan\dfrac{\theta}{2}\quad \checkmark\)

Answer:

11

Step-by-step explanation:

sqrt(121)

What number times itself gives 121

11*11 = 121

-11 * -11 = 121

Answer:

the square root of 121 is 11

which is the second option

Answer:

4.9 * 10⁻⁵

Step-by-step explanation:

0.000049 → 4.9

Answer:

4.9x10^-5

Step-by-step explanation:

\(4.9x10^{-5}\)

If the exponent is negative, then the number is small.

If the exponent is positive, then the number is large.

I hope this helps you! :)

Sarah can purchase 8 mangoes with all her remaining money

Given that:

Sarah has 21.50 to go grocery shopping

She donates 3.00 to a canvasser for a charity (that is subtraction).

Thus, the remaining money = 21.50 - 3.00 = 18.50

If mangoes cost 2.25. In order to know how many mangoes she can purchase if she uses up all of her remaining money, you have to divide the remaining money (18.50) by the cost of the mangoes (2.25). Thus:

Number mangoes = remaining money /cost of mangoes

Number mangoes = 18.50 / 2.25 = 8

Therefore, she can purchase 8 mangoes if she uses up all of her remaining money

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Answer:

You have to subtract the highest mark with the lowest mark

ex.

53 - 45 =  8

therefore the lowest possible mean mark is 8%

hope this helped

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of marks:

Two students got less than 45. Let's assume 44 as maximum mark.

Then the mean of the 6 students is:

Answer:

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.

Step-by-step explanation:

Let,

x be the pounds of oatmeal used

y be the pounds of crispies used

z be the pounds of chocolate

According to given statement;

1.50x+2.00y+1.00z = 17.00     Eqn 1

x+y+z = 11      Eqn 2

x = 2y   Eqn 3

Putting x=2y in Eqn 2

2y+y+z = 11

3y+z = 11     Eqn 4

From Eqn 4

z = 11 - 3y    Eqn 5

Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1

1.50(2y) + 2.00y + 1(11-3y) = 17.00

3y+2y+11-3y=17

\(2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3\)

Putting y = 3 in Eqn 3

x= 2(3)

x= 6

Putting in Eqn 2

6 + 3 + z = 11

z = 11-9

z= 2

Hence,

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.

The estimated required sample size is approximately 62 students. To determine the estimated required sample size, we can use the formula for sample size calculation in estimating a population mean with a specified margin of error:

n = (Z * σ / E)^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

σ = estimated standard deviation of the population

E = desired margin of error

In this case, the desired margin of error is $25, and the estimated standard deviation is $125.

Substituting these values into the formula, we have:

n = (1.96 * 125 / 25)^2

n = (196 / 25)^2

n = 7.84^2

n ≈ 61.44

Rounding up to the nearest whole number, we get the estimated required sample size of 62.

Therefore, in order to estimate the average amount that students spend per week on groceries within a margin of error of $25, with a 95% confidence level and an estimated standard deviation of $125, a sample size of approximately 62 students would be needed. This sample size should provide a reasonable estimate of the population mean with the desired level of precision.

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For complex numbers (a) Need additional information (b) |zw| = |z||w| = 54 (c) Need additional information

For complex numbers:

(a) It is not possible to determine the values of z and w using only the information provided about their magnitudes. We would need additional information about their angles or arguments.

(b) However, we can use the given magnitudes to find the product of z and w. We know that |zw| = |z||w| = 54.

(c) Without additional information about the angles of z and w, we cannot determine the sum or difference of the two complex numbers.

Complex numbers are numbers that can be described as the product of a real number and an imaginary number multiplied by the imaginary unit i, which is the square root of -1, are known as complex numbers in mathematics. Numerous disciplines, such as engineering, physics, and computer science, use complex numbers. They can be applied to the representation of two-dimensional vectors, the analysis of oscillatory motion in systems, and the solution of polynomial equations with imaginary roots. Complex numbers can be visualised and studied using the complex plane, a two-dimensional coordinate system with the real and imaginary axes.

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

I think that this is the answer your looking for if not im sorry

Step-by-step explanation:

Assuming x = burgers, y = hot dogs

x+y=88

4.5x + 3.25y = 331

x+y=88

x=88 - y

Substitute that into

4.5(88-y)  + 3.25y = 331

396 - 4.5y +3.25y = 331

-1.25y = -65

y = 52

Substitute that into

x = 88 - 52

x = 36

Answer : 36 burgers and 52 hot dogs are sold.

Hope this helps.

Answer:

A,B,C,D

Step-by-step explanation:

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

To establish that S is a subspace of ℝ^3, we must confirm that S is closed under vector summation and scalar multiplication.

A pertinent theorem from linear algebra that can be applied here is the "Subspace Criterion" theorem. This principle states that a non-empty subset S of a vector space V is a subspace if and only if it fulfills the following conditions:

For any vectors a, b ∈ S, their addition a + b ∈ S.

For any vector a ∈ S and any scalar k, the product ka ∈ S.

Now, let's define a vector m = v - e.

Observe that for any y in S, we have:

m • y = (v - e) • y = (v • y) - (e • y) = 0.

This implies that y is orthogonal to the vector m.

Geometrically, S represents a plane in ℝ^3 that is orthogonal (perpendicular) to the vector m.

As the plane is closed under vector summation and scalar multiplication, S is indeed a subspace of ℝ^3.

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Suppose v = (2, 4, 5) and e = (6, 7, 3) are a pair of vectors in ℝ^3. Let S be the collection of all y in ℝ^3 such that the inner product of v and y equals the inner product of e and y (i.e., v • y = e • y).

What principle can be utilized to demonstrate that S is a subspace of ℝ^3? Describe S in geometric terms.

Answer:

39

Step-by-step explanation:

Answer:

Negative five is in fact a rational number.

Step-by-step explanation:

Rational numbers can either be negative or positive. An irrational number would be pi (3.14159 etc.)

Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

Answer: (-5, -3)

Step-by-step explanation:

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205    ...(i)

0.05x+0.25y = 31.85 ... (ii)    [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637   ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

\(108+x=205\Rightarrow\ x= 97\)

Hence, there are 97 nickels and 108 quarters.

One if the functions of a protein macromolecule is: c. moving material in and out of cells

Proteins can be described as a complex macromolecules that are responsible for several key functions such as the regulation of cells, tissue, and organs of living organisms including their structure.

Proteins also help in performing the following:

Regulation of gene expression

Structural support, and

Many other cellular processes.

Therefore, a function of a protein macromolecule is: c. moving material in and out of cells.

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The area of the part of the plane 5x + 3y + z = 15 that lies in the first octant is 15x^3/6 + 45x^2y/2.

Area is a measure of the size of a surface or the amount of space it takes up. It can be measured in square units such as square feet, square meters, or acres. Area is used to describe the size of a two-dimensional object or shape, and is often used when discussing the size of a plot of land, a room, or other geographical area.

The first octant is defined as the area in the three-dimensional Cartesian coordinate system where all the coordinates are positive. In this case, the equation 5x + 3y + z = 15 can be rearranged to solve for z: z = 15 - 5x - 3y. This new equation can then be used to find the area of the plane that lies in the first octant by integrating the equation over the area of the octant.

To solve for the area, we must first find the boundaries of the octant. Since all coordinates must be positive, the boundaries of the octant are x = 0, y = 0, and z = 0. The area of the plane that lies in the first octant is then computed using the triple integral:

Area = ∫∫∫ 0 0 0 15-5x-3y dzdydx

= ∫∫ 0 0 (15x + 45y)dydx

= ∫ 0 (15x^2/2 + 45xy)dx

= 15x^3/6 + 45x^2y/2

Therefore, the area of the part of the plane 5x + 3y + z = 15 that lies in the first octant is 15x^3/6 + 45x^2y/2.

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Answer:

6.5

Step-by-step explanation: