What slope perpendicular to: m=5/8

Account A: Decreasing at 8 % per year

Account B: Decreasing at 10.00 % per year

Account B shows the greater percentage change

Exponential function, in mathematics, a relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

Given:

f(x) = 9628(0.92)ˣ

A)The general formula for an exponential function is

y = a\(b^x\), where b = the base of the exponential function.

if b < 1, we have an exponential decay function.

So, ƒ(x) decreases as x increases.

Thus, Account A is decreasing each year.

B) Now, the formula for an exponential decay function as:

y = a(1 – b)ˣ, where

1 – b = the decay factor

If we compare the two formulas, we find

0.92 = 1 - b

b = 1 - 0.92 = 0.08

b = 8 %

The account is decreasing at an annual rate of 8 %.

The account is decreasing at an annual rate of 10.00 %.

Account B recorded a greater percentage change in the amount of money over the previous year.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer: C

Step-by-step explanation:

To rank the steps involved in transforming one couple to another couple in a parallel plane, here is the correct order:

Identify the initial couple and the desired final couple.

Determine the translation vector that will move the initial couple to the desired final couple.

Translate the initial couple using the determined translation vector. This will shift the entire couple in the parallel plane.

Verify that the translation has successfully moved the initial couple to the desired final couple.

If necessary, make any additional adjustments or transformations to align the initial and final couples precisely in the parallel plane.

Confirm that the final couple is now in the desired position and orientation relative to the initial couple, maintaining the parallelism of the plane.

By following these steps in order, you can effectively transform one couple to another in a parallel plane.

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Answer: 1024 inches

Step-by-step explanation:

New Murals,

Length= 245+33 =278 inches

Width = 234 inches

Perimeter= 2*(278+234) = 1024 inches

Answer:

try 90 decided by 8 maybe that'll help

The expressions that are equivalent to the expression y + y + y + 3z are 3y + 3z and 3(y + z)

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

y + y + y + 3z

To start with, expressions that are equivalent are expressions that have equal values when evaluated

Using the above as a guide, we have the following:

Evaluate the like terms in y + y + y + 3z

So, we have the following representation

y + y + y + 3z = 3y + 3z

Factor out 3 from the expression

So, we have the following representation

y + y + y + 3z = 3(y + z)

Hence, the equivalent expressions of y + y + y + 3z are 3y + 3z and 3(y + z)

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Answer:

this is the answer I know.

The eccentricity of the conic section below is: A. closer to 0 than 1.

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

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The AAS triangle congruence postulate proves that these triangles are congruent .

In the question,

two triangles are given that are triangle KLM and triangle XYZ .

Consider the triangle KLM and triangle XYZ .

we can see that

(i) angle L = angle Y = angle 1             .....given in the figure

(ii) angle m = angle Z = angle 2           .... given in the figure

(iii) side KM = side XZ                           ....given in the figure

From the above three statements we conclude that

ΔKLM ≅ ΔXYZ

both the triangles KLM and XYZ are congruent by AAS Congruence Postulate .

Therefore , The AAS triangle congruence postulate proves that these triangles are congruent .

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Answer:

KM=60°

Step-by-step explanation:

The average of arc LN and arc KM is equal to 110.

\(\frac{160+KM}{2} =110\)

160+KM=220

KM=60

Answer:

is equal cuz a will be cut and be will be cut so what is left 1 is left so it is equal plz Mark me as the brainliest and thank me

Answer:

3015.99cm³

Step-by-step explanation:

Formula for the volume of a cylinder= V=πr²h

8 = radius

15 = height

V=64π x 15

V = 3015.99cm³ (rounded to 2DP)

Answer:

3014.4 cm^3

Step-by-step explanation:

volume of a cylinder =

\(\pi \: r {}^{2} h\)

h = 15

r = 8

pi = 3.14

volume = 3.14 × 8^2 × 15

v = 3.14 × 64 × 15

therefore

v = 3014.4 cm^3

pls give brainliest

The total weight of the liquid in the tank, to the nearest full pound, is calculated to be 3,012 pounds.

The volume of a hemisphere with diameter 6 feet is (2/3) x π x (6/2)³ = 56.55 cubic feet.

The weight of the liquid in the tank can be found by multiplying the volume of the liquid by its density:

Weight = Volume x Density = 56.55 x 53.3 = 3,012.32 pounds.

Rounding this to the nearest full pound gives a total weight of 3,012 pounds. Therefore, the total weight of the liquid in the tank is 3,012 pounds (to the nearest full pound).

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Answer:

3014

Step-by-step explanation:

I just did it

The composite function g(x) is g(x) = 12x/(2x - 1)

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

f(x) = x/(x - 6)

f(g(x)) = 2x

This means that

f(g(x)) = g(x)/(g(x) - 6)

So, we have

g(x)/(g(x) - 6) = 2x

Rewrite as

y/(y - 6) = 2x

This gives

y = 2x(y - 6)

Open brackets

y - 2xy = -12x

This gives

y = -12x/(1 - 2x)

So, we have

y = 12x/(2x - 1)

Hence, the function g(x) = 12x/(2x - 1)

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There is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less.

To find the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60, we can use the sampling distribution of the sample proportion and the z-score.

Given:

Sample size (n) = 100

Observed sample proportion ) = 0.48

True population proportion (p) = 0.60

To find the probability, we need to standardize the observed sample proportion using the z-score formula:

z = ( - p) / √(p * (1 - p) / n)

Substituting the values:

z = (0.48 - 0.60) / √(0.60 * (1 - 0.60) / 100)

= -0.12 / √(0.24 / 100)

= -0.12 / √0.0024

= -0.12 / 0.049

Using a standard normal distribution table or a statistical calculator, we can find the probability associated with the z-score.

The probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is the probability to the left of the z-score obtained.

P ≤ 0.48) = P(z ≤ -0.12)

Using a standard normal distribution table, we find that the probability of z ≤ -0.12 is approximately 0.4522.

Therefore, the probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is approximately 0.4522 or 45.22%.

This means that there is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less, if the true population proportion is 0.60.

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The variable X has a binomial distribution in the following distributions:

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), depending on the outcome's boolean value.

In a binomial distribution, we have a fixed number of independent trials (in this case, the number of patients), and each trial has only two possible outcomes (success or failure). The probability of success remains the same for each trial (in this case, the probability of the medicine working is 30%).

Option B does not represent a binomial distribution since it counts the number of patients for whom the medicine does not work, which is the complement of success. Option D is not a binomial distribution as it counts the number of doses each patient needs to take, which is not a success/failure outcome.

So, the correct answers are:

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

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Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle

Step-by-step explanation:

Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.

In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.

Answer:

h = 8.4

Step-by-step explanation:

38.64 = \(\frac{(5.5+3.7)h}{2}\)

38.64(2) = 9.2h

77.28 = 9.2h

h = 77.28/9.2

h = 8.4

Answer:

29.2 miles/gallon

Step-by-step explanation:

Given that,

Distance travelled, \(d=36\dfrac{1}{2}\) miles

Grace used \(1\dfrac{1}{4}\ \text{gallons}\) of gasoline

We need to find the unit rate for miles per gallon. It can be calculated by dividing no of miles by gallons of gasoline. So,

\(R=\dfrac{36\dfrac{1}{2}\ \text{miles}}{1\dfrac{1}{4}\ \text{gallon}}\\R=\dfrac{\dfrac{73}{2}}{\dfrac{5}{4}}\ \text{miles per gallon}\\\\R=\dfrac{73}{2}\times \dfrac{4}{5}\\\\R=29.2\ \text{miles per gallon}\)

Hence, the unit rate is 29.2 miles/gallon.

If the given equations are true, then the value of x + z is 6.

Simultaneous equations or systems of equations are two or more equations in algebra that must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Consider the equations are true,

4x + 2y + 8z = 30                                                                    ------------(1)

3x + 2y + 7z = 24                                                                    ------------(2)

Now,

By subtracting equation (2) from equation (1) we get:

eq(1) - eq(2)

4x + 2y + 8z - ( 3x + 2y + 7z ) = 30 -24

4x + 2y + 8z - 3x - 2y - 7z = 6

( 4x - 3x ) + ( 2y - 2y ) + ( 8z - 7z ) = 6

x + 0 + z = 6

x + z =6

Therefore, assuming the equations to be true the value of x + z is equal to 6.

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The number of possible combinations of 8 objects taken 6 at a time is 28. Then the correct option is D.

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

The number of possible combinations of 8 objects taken 6 at a time.

Then the number of the combination is given as

\(\rm ^8C_6 = \dfrac{8!}{(8-6)! 6!}\\\\\\^8C_6 = \dfrac{8 \times 7 \times 6!}{2 \times 1 6!}\\\\\\^8C_6 = 7 \times 4\\\\\\^8C_6 = 28\)

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Answer:

y = (1/2)x + 13

Step-by-step explanation:

slope-intercept form of a linear equation: y = mx + b

y = length of the barrier (miles)

x = number of weeks

Slope (m) = rate at which the construction crew builds the barrier

= 1/2 mi/wk

The initial length of the barrier (y-intercept) is 13 miles.

Therefore, the equation in slope-intercept form that represents the length of the barrier after x weeks is:

y = (1/2)x + 13

The parallel lines in the given figure are;

o || p, m || n

The congruent angles are;

Corresponding angles theorem;

Alternate exterior angles theorem;

Alternate interior angles theorem;

Vertical angles theorem;

Parallel lines are lines that do not intersect.

The details of theorem used to find the congruent angles are as follows;

Corresponding angles theorem;

Alternate interior angles theorem;

Alternate exterior angles theorem;

Vertical angles theorem;

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Answer:

f(-5) = -43

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 7

f(-5) is x = -5

Step 2: Substitute and Evaluate

f(-5) = -2(-5)² + 7

f(-5) = -2(25) + 7

f(-5) = -50 + 7

f(-5) = -43

For a relative frequency table by rows 4-column table with 2 rows about the breakfast choices of boys and girls. The conclusion is of table is represented by option(b).

We have provided the following information about relative frequency table by rows, tables by row, 4 columns and 2 rows.

Now, we represent the above information into tabular form,

Eat cereal do not eat cereal Total

boys 68.3% 31.7% 100%

girls 69.1% 30.9% 100%

Now, we have to draw conclusion about the relative frequency of these results. From the table, the percentage of girls and boys who eat cereal is exceed from the not. Thus, we cannot say if a person eat cereal for breakfast, then he is a boy. Similarly we cannot know about gender of a person by eats cereal. The right conclusion is that if i am a girl in this group, i am more likely to eat cereal for breakfast than not. Hence, required option is option (b).

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Complete question:

relative frequency table by rows 4-column table with 2 rows. column 1 has entries boys, girls. column 2 is labeled eat cereal with entries 68.3 percent, 69.1 percent. column 3 is labeled do not eat cereal with entries 31.7 percent, 30.9 percent. column 4 is labeled total with entries 100 percent, 100 percent. What conclusion can you draw about the relative frequency of these results?

a) If you are a boy in this group, you are more likely not to eat cereal for breakfast than to eat cereal.

b) If you are a girl in this group, you are more likely to eat cereal for breakfast than not.

c) If you eat cereal for breakfast, you are a boy.

d) Knowing if a person eats cereal will help determine gender.

Answer:

B. If you are a girl in this group, you are more likely to eat cereal for breakfast than not.

Step-by-step explanation:

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