Mr. Prieto gets 16 points on a CFA that has 20 points possible. What is his percent correct?

Answer:

\(\textsf{A)} \quad x=\dfrac{\log b - \log 7}{ \log a}-2\)

Step-by-step explanation:

Given function:

\(f(x)=7a^{2+x}-b\)

The x-intercepts occur when the function equals zero.

\(\implies 7a^{2+x}-b=0\)

Add b to both sides:

\(\implies 7a^{2+x}=b\)

Divide both sides by 7:

\(\implies a^{2+x}=\dfrac{b}{7}\)

Take logs of both sides of the equation:

\(\implies \log \left(a^{2+x}\right)= \log \left(\dfrac{b}{7}\right)\)

\(\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax\)

\(\implies (2+x)\log a= \log \left(\dfrac{b}{7}\right)\)

\(\textsf{Apply the Quotient log law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay\)

\(\implies (2+x)\log a= \log b-\log 7\)

Divide both sides by log a:

\(\implies 2+x=\dfrac{\log b - \log 7}{ \log a}\)

Subtract 2 from both sides:

\(\implies x=\dfrac{\log b - \log 7}{ \log a}-2\)

Answer:

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

7 x 4 = 28

7 x 5 = 35

7 x 6 = 42

7 x 7 = 49

7 x 8 = 56

7 x 9 = 63

7 x 10 = 70

7 x 11 = 77

7 x 12 = 84

Answer:

These are the first 50 multiples of 7.

7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140,147,154,161,168,175,182,189,196,203,210,217,224,231,238,245,252,259,266,273,280,287,294,301,308,315,322,329,336,343,350

Step-by-step explanation:

Just keep adding 7 to the previous number to get your answer.

Or if you want a specific answer for a multiple such as the 51st multiple of 7 you can just do 51 x 7 to get your answer. If you want to find out whether a number is a multiple of a number you can simply divide. An example would be 357 / 7 = 51, so 357 is the 51st multiple of 7.

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

Learn more about budget here

https://brainly.com/question/29028797

#SPJ11

Answer:

90 degrees

Step-by-step explanation:

Answer:

90 degrees.

Step-by-step explanation:

50 degrees (NJ) + -40 degrees (Antarctica) = 90 degrees.

Answer:

  58 in²

Step-by-step explanation:

A horizontal line across the wide part of the pentagon will divide it into an upper triangle and a lower trapezoid. To find the area of the figure, you can use the formula for the area of a triangle (twice) and the formula for the area of a trapezoid.

  A = 1/2bh . . . . area of triangle with base b and height h

  A = 1/2(b1 +b2)h . . . . area of trapezoid with bases b1, b2, and height h

top triangle

The base is 6 in, the height is (8 -5) = 3 in. Its area is ...

  A = 1/2(6 in)(3 in) = 9 in²

middle trapezoid

The bases are 4 in and 6 in, and the height is 5 in. Its area is ...

  A = 1/2(4 in + 6 in)(5 in) = 25 in²

bottom triangle

The base is 8 in, and the height is 6 in. Its area is ...

  A = 1/2(8 in)(6 in) = 24 in²

Then the area of the figure is ...

  top triangle + trapezoid + bottom triangle

  = 9 in² +25 in² +24 in² = 58 in² . . . . area of the figure

Answer: Is correct trust me.

Step-by-step explanation:

Answer:

6.8475 grams of fat

Step-by-step explanation:

Given data

yogurt contains 11 g of fat

low - fat version contains 37.75 % less

Let us compute the value of 37.75 % of fat

=37.75/100*11

= 0.3775*11

=4.1525 gram

Hence the low - fat version contains

=11-4.1525

=6.8475 grams of fat

Answer:

2( 4 + 2X) = 3x + 4

8 + 4x = 3x + 4

8 + 4x - 3x - 4 = 0

x + 4 = 0

x = -4

Step-by-step explanation:

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

To know more about trigonometry:

https://brainly.com/question/14272510

#SPJ1

Answer:

\(x=-2\)

Step-by-step explanation:

\(2x + 4 = 0\)

Subtract 4 from both sides:-

\(2x+4-4=0-4\)

\(2x=-4\)

Divide both sides by 2:-

\(\frac{2x}{2}=\frac{-4}{2}\)

\(x=-2\)

OAmalOHopeO

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf2x+4=0\)

Subtract 4 from both sides. Anything subtracted from zero results in its negation.

\( \sf2x=-4 \)

Divide both sides by 2.

\( \sf \: x=\frac{-4}{2} \\ \)

Divide -4 by 2 to get -2.

\( \boxed{ \boxed{ \bf \: x=-2 }}\)

A person's cycling rate can be expressed mathematically in the equation that describes their cycling motion. Specifically, the cycling rate can be represented by the frequency or number of revolutions per unit time (usually in seconds) that the person completes while cycling.

The equation that describes a person's cycling motion is typically a kinematic equation that relates the person's position, velocity, and acceleration as a function of time. One commonly used equation is:

d = vit + 1/2at^2

where d is the distance traveled by the person, vi is the initial velocity (usually zero), a is the acceleration, and t is the time elapsed.

The cycling rate can be incorporated into this equation by expressing the velocity as a function of the frequency of revolutions (f) and the radius of the wheel (r). This gives:

v = 2πrf

where v is the velocity of the cyclist, r is the radius of the wheel, and π is the mathematical constant pi (approximately 3.14).

Substituting this expression for v into the kinematic equation gives:

d = (2πrf)t + 1/2at^2

This equation shows how the person's cycling rate, represented by the frequency f, affects their distance traveled as a function of time. If the person increases their cycling rate, their velocity increases, and they will travel a greater distance in the same amount of time.

Answer:

The length of side B is 6.25, The length of side A is 8.75, The scale factor is 0.25

Step-by-step explanation:

Divide the left side of the first model by the left side of the scaled version

60 / 15 = 4

divide side A and B by the result

35 / 4 = 8.75

25 / 4 = 6.25

Answer:

114688

Step-by-step explanation:

i think this is the answer

Answer:

114,688

Step-by-step explanation:

the previous term is multiplied by 4 to get the next term.if you continue with this sequence you would eventually get 114 688

( p(B \mid A) \) is the probability of getting THH, which is 1/3.

To determine \( p(B \mid A) \), we need to consider the outcomes that satisfy event A (having at least two consecutive heads) and then determine how many of those outcomes also satisfy event B (the last flip is tails). Let's analyze the possible outcomes:

There are a total of 2^3 = 8 equally likely outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Among these outcomes, the ones that satisfy event A (at least two consecutive heads) are: HHH, HHT, THH.

Out of these three outcomes, only one (THH) satisfies event B (the last flip is tails).

Therefore, \( p(B \mid A) \) is the probability of getting THH, which is 1/3.

For more information on probability visit: brainly.com/question/23827825

#SPJ11

Answer:

<

Step-by-step explanation:

3/4 = 6/8

7/8 is > 6/8

Answer:

perimeter of rectangle = 2×(l+b)

Answer:

lol

Step-by-step explanation:

Some oone idea about this ??

The total surface area of the resulting solid is \(6+96=\boxed{102}\) square inches.

The resulting solid after the described procedure consists of a central cube of side length 1 inch and 6 congruent smaller cubes, each of side length 2 inches. We can find the surface area of the resulting solid by adding up the surface area of each of these cubes.

The surface area of the central cube is simply \(6(1^2)=6\) square inches.

The surface area of each of the smaller cubes is \(6(2^2)=24\) square inches, but since each cube shares one face with the central cube and another face with its neighboring cube, we only count four of its faces, so the contribution of each smaller cube to the surface area of the resulting solid is 4(24/6)=16 square inches.

Since there are 6 smaller cubes in total, their contribution to the surface area of the resulting solid is \(6\times16=96\)square inches.

for such more question on surface area

https://brainly.com/question/27987869

#SPJ11

Answer:

A) \(x+y=20\)

B) Cost function is: \(3x+2y = 50\)

C) \(x+y=20\), \(3x+2y = 50\)

D) \(x=10, y=10\)

E) Yes, the result satisfies the equations.

Step-by-step explanation:

Let number of kilos of mango bought = \(x\)

Let number of kilos of atis bought = \(y\)

Total number of kilos bought = 20

A) \(x+y=20\)

Cost of mango per kg = 60

Cost of mango for \(x\) kg = \(60x\)

Cost of atis per kg = 40

Cost of mango for \(y\) kg = \(40y\)

Total cost is: Cost of mango + Cost of atis = 1000

B) Cost function is:

\(60x+40y=1000\\\Rightarrow 3x+2y = 50 ...... (2)\)

C) System of equations are:

\(x+y=20\) ...... (1)

\(3x+2y = 50\)...... (2)

D) Using elimination method:

Multiplying equation (1) with 2 and subtracting from (2):

\(x = 10\)

By equation (1):

\(\Rightarrow y =10\)

E) Putting both the values in LHS of equation (1):

10+10  = 20 = RHS

Putting both the values in LHS of equation (2):

\(3\times 10 +2\times 10\) = 50 = RHS

Yes, the result satisfies the equations.

Answer:

What is it?

Step-by-step explanation:

Step-by-step explanation:

I edit this on computer, because I have class later

The general solution to the differential equation is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x + C1e^(-x) + C2e^(-2x).

To solve this initial value problem, we need to find the general solution to the differential equation and then use the initial conditions to find the particular solution.

The characteristic equation is r^2 + 3r - 2 = 0, which has two distinct real roots of r1 = -2 and r2 = -1.

The general solution to the differential equation is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x + C1e^(-x) + C2e^(-2x)

Now we can use the initial conditions y(0) = 0 and y'(0) = 0 to find the values of C1 and C2.

y(0) = 0 = (5/2) * 0^3 - (4/3) * 0^2 + (1/2) * 0 + C1e^(0) + C2e^(0)

y'(0) = 0 = 5x^2 - (8/3)x + (1/2) + C1e^(-x) - C2e^(-2x)

Solving these equations, we find that C1 = 0 and C2 = 0, so the particular solution to the initial value problem is y(x) = (5/2)x^3 - (4/3)x^2 + (1/2)x.

This method is the standard way to solve Initial value problems for linear homogeneous differential equations with constant coefficients. It relies on finding the characteristic equation, and the general solution of the differential equation. Then we use the initial conditions to find the particular solution.

Learn more about initial value problem here:

https://brainly.com/question/17449917

#SPJ4

Answer:

The final amount  if 784 is decreased by 1% followed by a 4% increase is 807.52.

Step-by-step explanation:

General Formula

A way to solve this problem is as follows:

The general formula for this is taking into account that:

\( \\ percent\;change = \frac{change}{starting\;point}\)

The starting point is number 784.

The most important key is the solution for this answer is that:

\( \\ change = starting\;point - x\)

Where x is a number that we need to find. Then

\( \\ percent\;change = \frac{starting\;point - x}{starting\;point}\) [1]

Is 784 increased or decreased after all?

We also need to evaluate the following: if a quantity decreases a percentage, and then increases in another percentage, what is the final percentage? In this case, we have first that 784 decreases by 1% and then increases by 4%. As a result 784 will +4% - 1% = +3%, that is, 784 will increase in 3%.

Finding the result

If 784 increases by 3%, we have:

\( \\ 3\% = \frac{784 - x}{784}\)

Which is equal to

\( \\ 0.03 = \frac{784 - x}{784}\)

Solving for x, we first multiply by 784 to both sides of the previous formula:

\( \\ 0.03 * 784 = \frac{784 - x}{784}*784\)

\( \\ 0.03 * 784 = (784 - x)*\frac{784}{784}\)

\( \\ 0.03 * 784 = (784 - x)*1\)

\( \\ 0.03 * 784 = (784 - x)\)

Remember that if we add, subtract, multiply, divide... to both sides of the equation, we do not "alter" this equation.

Subtracting 784 to both sides:

\( \\ (0.03 * 784) - 784 = (784 - 784 - x)\)

\( \\ (0.03 * 784) - 784 = (0 - x)\)

\( \\ (0.03 * 784) - 784 = - x\)

\( \\ 23.52 - 784 = - x\)

\( \\ -760.48 = - x\)

Multiplying by -1 to both sides:

\( \\ -1 * (-760.48) = -1 * (-x)\)

We have to remember that:

\( \\ +*+ = +; - * - = +; - * + = -; + * - = -\)

\( \\ 760.48 = x\)

Then

\( \\ x = 760.48\)

Therefore, using formula [1], an increase of 3% is

\( \\ 3\% = \frac{784 - 760.48}{784}\)

\( \\ change = 784 - 760.48\)

\( \\ change = 23.52\)

Since an increase of 3% is 23.52, we have to add this to the starting point 784, and finally the amount is 784 + 23.52 = 807.52.

As a result, the final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.  

In a more terse way of solving this problem, we can say that:

Increase of 4% = 784 * 0.04 = 31.36.

Decrease of 1% = 784 * 0.01 = 7.84.

Difference = 31.36 - 7.84 = 23.52.

Then, we need to add this value to 784, and 784 + 23.52 = 807.52 (the same result).

The possibility that something will occur, prior measures, and conventional objective measurements all influence the likelihood that something will occur.

What is probability and what types are there in total?

The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0. When an event has a probability of 1, it can be said to be a certainty. For instance, if the coin lands flat, the likelihood that it will come up  "heads or  tails" is 1. There are no other possible outcomes. A probability of .5 indicates that there is an equal chance that an event will occur or not.

Probability can be quantitatively represented in the simplest form as follows: the total number of possible outcomes multiplied by the ratio of the number of occurrences of a targeted event divided by the sum of the occurrences and failures of occurrences:

P(a) = P(a)/[P(a) + P(b)]

To know more about Probability, visit:

https://brainly.com/question/14210034

#SPJ4

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

To know more about Similarity theorem here.

https://brainly.com/question/24167205

#SPJ4

The conclusion from this study is that while there may be a moderate effect of the new therapy on the amount of time participants could watch the snake video, the results are not statistically significant at the .05 level of significance, based on the small sample size of only 4 participants.

The results of the paired-samples t-test are as follows:

The mean difference between the before and after measurements is 5 minutes, with a standard deviation of 2 minutes.

The t-statistic is 2.5, with 3 degrees of freedom (df= n-1 = 4-1 = 3).

The p-value is 0.088.

Since the p-value is greater than the level of significance of 0.05, we fail to reject the null hypothesis. This means that we do not have sufficient evidence to conclude that the new therapy significantly changed the amount of time participants could watch the video without looking away.

The effect size measures (Cohen's d and Hedges' correction) suggest that there is a moderate effect of the therapy on the participants, but the confidence intervals suggest that the true effect size could range from small to large.

Therefore, the conclusion from this study is that while there may be a moderate effect of the new therapy on the amount of time participants could watch the snake video, the results are not statistically significant at the .05 level of significance, based on the small sample size of only 4 participants. Further research with a larger sample size is needed to confirm these findings.

To learn more about moderate effect visit: https://brainly.com/question/27334063

#SPJ11

A simple linear regression model is appropriate when the response variable is influenced by only one explanatory variable.

A simple linear regression model assumes a linear relationship between the response variable (y) and a single explanatory variable (x).

It is suitable when we want to understand how changes in the explanatory variable affect the response variable.

In the given options, the situation where the response variable y is influenced by one explanatory variable aligns with the requirements of a simple linear regression model.

This means that the relationship between y and x can be adequately described by a straight line.

The model aims to estimate the slope and intercept of this line, allowing us to make predictions and draw conclusions about the impact of the explanatory variable on the response variable.

If the response variable y is influenced by two or more explanatory variables, a multiple linear regression model would be more appropriate.

Multiple linear regression allows for the analysis of the combined effects of multiple predictors on the response variable, accounting for their individual contributions.

Similarly, if the explanatory variable x is influenced by two or more response variables, a different modeling technique, such as multivariate regression, would be more suitable.

Therefore, the situation where the response variable y is influenced by one explanatory variable is the scenario where a simple linear regression model is appropriate.

Learn more about simple linear regression model here:

https://brainly.com/question/30470285

#SPJ11

The sum of the angle measures of the polygon is 540°, the value of x is 5.

The sum of the angle measures of the polygon is 540°.

We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°

If a polygon has x sides, then the sum of its angle measures can be found using the formula:

Therefore, for a polygon with x sides, the equation becomes:

⇒(x-2) * 180° = 540°

Solving for x, we get:

⇒x = (540° + 360°) / 180° + 2

⇒x = 3 + 2

⇒x = 5

So, the polygon has 5 sides.

Therefore, the value of  x is 5.

For more such questions on sum of angle measures

https://brainly.com/question/21084026

#SPJ4

The property that justifies the statement "OP = RS, RS = OP" with "Sym" is symmetry. Symmetry refers to the property of an object or equation where it remains unchanged under certain transformations or operations.

In this case, if we reflect the circuit across the line of symmetry, the circuit will be exactly the same as the original circuit, except that the voltage source will be flipped over.

Therefore, if we take the voltage across the resistor (RS) and multiply it by the resistance of the voltage source (R), we will get the same result as if we take the voltage across the resistor (OP) and multiply it by the resistance of the resistor (R). This property is symmetric, and thus the statement "OP = RS, RS = OP" is true

Learn more about an object or equation

https://brainly.com/question/8751749

#SPJ4

Answer:

Sym. Prop. of ≅ is the correct answer