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You invest an amount in an account that has a annual interest rate of 5%. If the interest is compounded quarterly for four years, find the equivalent interest rate. How many times will the money be compounded? (To find the quarterly, divide by 4)
8% and 4 times
1.25% and 1 time
8% and 16 times
1.25% and 16 times

Answer:

If csc = 29/21, then the reciprocal of this is equal to the sine of the angle. So,

sin = 21/29.

Since cosine is less than 0, then the angle must be in the second or third quadrant, which means that the sine of the angle must be positive. So,

sin = 21/29, and cos = -√(1 - sin^2) = -√(1 - (21/29)^2)

Next, we can find the tangent by taking the ratio of sine to cosine:

tan = sin / cos = 21/29 / -√(1 - (21/29)^2) = -21/√(841 - 441)

Finally, we can find the cotangent by taking the reciprocal of the tangent:

cot = 1 / tan = -√(841 - 441) / 21

So, the remaining trigonometric functions are:

sin = 21/29

cos = -√(1 - (21/29)^2)

tan = -21/√(841 - 441)

cot = -√(841 - 441) / 21

Megan tiled a rectangle with an area of 24 square centimeters, the Megan ‘s rectangle is 2 centimeters by 12 centimeters.

Megan tiled a rectangle with an area of 24 square centimeters,

A = 24 square centimeters

Area of the rectangle = length x breadth

A = l x b

24 = 12 x 2

Therefore, length= 12cm and breadth is 2 cm.

The area occupied by the rectangle within its perimeter may be calculated using the formula for the area of a rectangle. A rectangle's area is calculated by multiplying its length by its width (breadth). As a result, the area of a rectangle whose length and breadth are "l" and "w," respectively, may be calculated using the following formula. L * W = the rectangle's area. Therefore, the area of a rectangle is equal to (length width).

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Complete question:

Megan drew a rectangle that has an area of 24 square centimeters. Which of the following could be the dimensions of her rectangle?

The exponential function is given as follows:

y = 64(0.5)^(x/5).

The standard definition of an exponential function is given as follows:

y = a(b)^(x/n).

In which the parameters are given as follows:

Considering the initial value of 64, along with the fact that the amount halves each five days, the parameter values are given as follows:

a = 64, b = 0.5, n = 5.

Hence the function is defined as follows:

y = 64(0.5)^(x/5).

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There is only one point missing on the scatter plot graph.

And the point is (10, 2.6).

Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane.

The data for the gasoline purchases are given in the table.

From the diagram:

The missing point on the scatter plot graph is,

(10, 2.6)

Hence, the point is (10, 2.6).

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I. the elements of (Anb)'uc = {1,2,4,5,6,7}

Ii. The elements of (Auc) 'n B = { 5}

III. The elements of( Aubuc)' = { }

A Venn diagram illustrates the relationships between two or more data sets. Venn diagrams are especially useful for highlighting similarities and differences and are commonly used to compare and contrast the characteristics of different data sets. In a Venn diagram, circles are used to represent each data set.

(Anb)' = {1,2,4,5,6,7}

(Anb)'uc = {1,2,4,5,6,7}

(Auc)' = {5,6}

(Auc) 'n B = { 5}

(Aubuc)' = { }. this means there is no elements for this.

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Using calculus,

For the parabola

.

.

Take the derivative of both sides

.

This is where the formula come from, you don't need to know where this came from.

The equation of the line

.

In this problem, we know that the coefficient of y is equal to 4p

So

.

.

.

.

.

For proof, let's graph this function

.

Now let's plug in the knowns to find the tangent line

If my work does not pop up, the answer is y=-x-3

The required equation of the tangent to the parabola at the given point y = -x - 3.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given expression,
x² = 12y

Comparing the above expression with the given expression,
P = 3

Now, we have p = 3 and (x₀, y₀) = (-6, 3)

So,
The equation of the tangent is given as,
y = -6/(2×3)x - 3
y = -x - 3

Thus, the required equation of the tangent to the parabola at the given point y = -x - 3.

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Answer:

10/6 or 1 4/6

Step-by-step explanation:

Just add the numerators together 10/6. If you need a simplified version it would be 1 4/6.

La solución de la ecuación diferencial dy / dx = [(12 - 9 · x²) / √(x³ - 4 · x + 4)] es la ecuación y = - 3 · ㏑ |x³ - 4 · x + 4| + C.

En este problema tenemos el caso de una ecuación diferencial ordinaria con variables separables, esto es, que las variables x, y pueden ser apartadas a cada lado de la identidad. A continuación, se presenta el procedimiento de la solución de la ecuación diferencial.

Primero, se escribe la ecuación diferencial y se separan las variables:

dy = [(12 - 9 · x²) / √(x³ - 4 · x + 4)] dx

Segundo, se simplifica la expresión y se aplica la integral a ambos lados:

∫ dy = - 3 ∫ [(3 · x² - 4) / √(x³ - 4 · x + 4)] dx

Tercero, emplear la fórmula de sustitución algebraica u = x³ - 4 · x + 4:

du = 3 · x² - 4 dx

∫ dy = - 3 ∫ [du / u]

Cuarto, integral la expresión resultante:

y = - 3 · ㏑ |u| + C, donde C es la constante de integración.

Quinto, reversar la fórmula de sustitución algebraica:

y = - 3 · ㏑ |x³ - 4 · x + 4| + C

No existen problemas verificados en español, de modo que se añade una pregunta en inglés.

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Answer:

6/5

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

1/2×3/5×4

=12/10

divide by 2.

=6/5.

Answer:12/5

Step-by-step explanation:

tan(x)=opposite/adjacent

tan(x)=12/5

Answer:

2.4

Step-by-step explanation:

This is a right-angled triangle:

where:
Side XY = hypotenuse

              = 13 units

With respect to Angle X:

Side YZ = opposite side

             = 12 units

Side XZ = adjacent side

              = 5 units

Trigonometric function:

Tan∅= [tex]\frac{opposite}{adjacent}[/tex]

 ∴TanX = [tex]\frac{SideYZ}{SideXZ}[/tex]

             = [tex]\frac{12}{5}[/tex]

             = 2.4

The solution is Option A.

The number of data points that are incorrectly marked on the scatter plot is none

Dots are used in a scatter plot to show the values of two different numerical variables. Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, utilize scatter plots.

The closer the data points come to forming a straight line when plotted, the higher the correlation between the two variables, or the stronger the relationship. If the data points make a straight line going from near the origin out to high y-values, the variables are said to have a positive correlation.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

Given data ,

Let the equation of graph be represented as A

Now , the value of A is

Let the values of x be = { 1 , 2 , 3 , 4 , 6 , 8 , 10 , 12 }

Let the values of y be = { 2.5 , 7.6 , 12.5 , 17.1 , 24.3 , 37.9 , 49.2 , 54.9 }

So , the points on the graph will be

A ( 1 , 2.5 ) , B ( 2 , 7.6 ) , C ( 3 , 12.5 ) , D ( 4 , 17.1 ) , E ( 6 , 24.3 ) , F ( 8 , 37.9 ) , G ( 10 , 49.2 ) , H ( 12 , 54.9 )

There are no points marked incorrectly on the scatter plot

Hence , the graph is plotted and there are no incorrect data points on the scatter plot

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Answer:

could have walked straight

through the forested area at 1km/h, did the troop save any time by going around

The long will it take him to reach his goal is 48w.

To make it easier to solve the problem above, we change the sentence into a mathematical sentence.

Steven goal weight is 195 pounds. He currently weighs 339 pounds.

So that we know the amount of weight reduced:

= 339 - 195

= 144 pounds

He plans to lose three pounds each week. The long will it take him to reach his goal:

= 144 : 3

= 48 weeks

= 48w

So, the long will it take him to reach his goal is 48w.

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Answer:

The equation that makes the most sense to solve with the Zero Product Property is x^2+9x+6=0.

Step-by-step explanation:

False. Despite not being continuous at that point, a function can nevertheless be defined there. For instance, even when a function is defined at a certain place, it may nevertheless have a finite jump there.

False. Despite not being continuous at that point, a function can nevertheless be defined there. Functions that have a limit that is equal to their value at a particular point are said to be continuous functions. A function is said to be continuous at a particular location if it is. A function can, however, be defined at a location yet not be continuous there. For instance, even when a function is defined at a certain place, it may nevertheless have a finite jump there. This suggests that the function is not continuous at that point since the left-hand limit and the right-hand limit of the function at that point are not equal. So, even though a function is defined at a certain location, it may not be continuous there.

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Answer:

the water would most likely become more acidic.

Step-by-step explanation:

this is due to carbon dioxide being slightly acidic, it dissolves into the water inturn decreasing the pH.

let's convert the mixed fractions to improper fractions first.

[tex]\stackrel{mixed}{6\frac{2}{3}}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{4}\div \cfrac{20}{3}\implies \cfrac{3}{4}\cdot \cfrac{3}{20}\implies \cfrac{9}{80}[/tex]

9/80.

[tex]\frac{\frac{3}{4}}{(6+\frac{2}{3} )}[/tex]

[tex]6+\frac{2}{3}=\\ \\\frac{18}{3}+\frac{2}{3} =\\ \\\frac{18+2}{3} =\\ \\\frac{20}{3}[/tex]

[tex]\frac{\frac{3}{4}}{(\frac{20}{3} )}[/tex]

Check the attached image.

[tex]\frac{3}{4} *\frac{3}{20}=\frac{3*3}{4*20} =\frac{9}{80}[/tex]

9/80.

Answer:

in form of what?and what's the question

Answer:

The equation "3(g + h) = 12" can be translated into a sentence as: "Three times the sum of g and h equals 12."

Hope this helps.

Answer: 3 times g plus h equals 12

Step-by-step explanation:

3 times g + h = 3(g+h)

equals 12 = =12

Hope this helps!

Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold.

Isaac has a 1/40 chance of winning the raffle, or a 2.5% chance. This indicates that he has a 2.5% probability of having his ticket chosen out of the 40 tickets that were sold. This is because there is only one raffle winner and it is impossible to predict which ticket will be picked.

It's also crucial to remember that his odds of winning are entirely independent of those of any other ticket holder; nobody else's ticket will affect the outcome of the raffle. As a result, Isaac has the same chance of winning as any other ticket holder. It's also vital to remember that regardless of how many tickets are sold, the likelihood of winning stays the same. Therefore, regardless of how many raffle tickets are sold, there is a 2.5% chance of winning.

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By using quadratic formula we solve 9n² = 4 + 7n, we get [tex]n = \frac{7 \pm \sqrt{193} }{18}[/tex]

Quadratic formula is the simplest way to find the roots of a quadratic equation. There are certain quadratic equations that cannot be easily factorized, and here we can conveniently use this quadratic formula to find the roots in the quickest possible way. The roots of the quadratic equation further help to find the sum of the roots and the product of the roots of the quadratic equation. The two roots in the quadratic formula are presented as a single expression. The positive sign and the negative sign can be alternatively used to obtain the two distinct roots of the equation.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [tex]\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]

Given:

The equation:

9n² = 4 + 7n

First rearrange the terms

9n² = 4 + 7n

9n² 7n + 4

9n² = 7n + 4

9n² - 7n - 4 = 0

By using quadratic formula, we get

a = 9, b = - 7, c = - 4

n = [tex]\frac{-(-7) \pm \sqrt{(-7)^2 - 4 .9.(-4)} }{2.9}[/tex]

[tex]n = \frac{7 \pm \sqrt{(-7)^2 - 4.9.(-4)} }{2.9}[/tex]

[tex]n = \frac{7 \pm \sqrt{49 - 4.9(-4)} }{18}[/tex]

[tex]n = \frac{7 \pm \sqrt{49 + 144} }{18}[/tex]

[tex]n = \frac{7 \pm \sqrt{193} }{18}[/tex]

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

[tex]n = \frac{7 + \sqrt{193} }{18}[/tex] or [tex]n = \frac{7 - \sqrt{193} }{18}[/tex]

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The value of the angle x is 18. 4°

it is important to note the six types of trigonometric identities, they are;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the diagram shown, we have the opposite and adjacent sides, then;

tan x = 4/12

Divide the values

tan x = 0. 3333

take the tangent inverse of the value

x = 18. 4°

Hence, the value is 18. 4°

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Answer:

6W + W = 770
==> 7W = 770

W = 110 and L = 660 in case you are looking for the solution

Step-by-step explanation:

Let L -= length and W the width of the rectangular field

six times as long as it is wide translates to:
L = 6W

Perimeter of field = 2(L + W)

Given perimeter = 770 feet
2(L + W) = 770
L + W = 770/2 = 385

Since L = 6W, substitute for L in the above equation:
6W + W = 770

7W = 770

W = 770/7 = 110 feet

L = 6W = 6(110) = 660 feet

the width = 55 feet and the length = 330 feet

so basically we take the width as x and the length as 6x then since the perimeter of a rectangle = 2*width + 2*length we will form the equation 6x + 6x + x + x = 770
then we'll solve this equation
14x = 770
x = 55
then multiply x by 6 to get the length which is 330

The probability is 1/144 which can be computed by product of Q-matrix probabilities of transition.

Consider the absorbing states 0 and 6 and utilize both the Q-matrix of transition probability from 1, 2, 3, 4, and 5 to itself, as well as the S matrix of probabilities from 1, 2, 3, 4, and 5 to 0, 6.

The probability of the next three states being 4, 5, 0 in that order depends on the transition probabilities from one state to the next. If we know the transition matrix, we can calculate the probability as the product of the transition probabilities from one state to the next.

Q = Image is uploaded.

S = Image is uploaded.

The (1,6) item in the matrix corresponds to the desired probability.

[tex](1-Q)^-1S[/tex] = Image is uploaded.

This matrix's rows are labelled 1,2,3,4,5, and its columns are 0,6, respectively. 1/144 is the necessary probability.

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In a histogram, the width of the bars represents the range of values that fall into each specific category or bin. The spacing between the bars has no meaning in terms of the data being represented.

The ordering of the bars is based on the range of values within each bin, with the bars typically ordered from left to right in ascending order of value.

This is different from a bar graph, where the width and spacing of the bars can have meaning in terms of the comparison of the values being represented. For example, if the width of the bars in a bar graph represents the value of a data point, then a wider bar would indicate a higher value.

The spacing between the bars in a bar graph can also be used to show the relative difference between values. In a bar graph, the ordering of the bars may or may not have meaning, depending on the specific context and the purpose of the graph.

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Answer:

[tex]x = \frac{5(6 + y)}{6} [/tex]

Step-by-step explanation:

[tex]1. \: 6x = 30 + 5y \\ 2. \: x = \frac{30 + 5y}{6} \\ 3. \: x = \frac{5(6 + y)}{6} [/tex]

There's your answer

The length is the unknown side increases while keeping the known side lengths fixed, the measurement of angle Z will increase. So, the triangle will not fit the given conditions anymore.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given,  two sides and the angle opposite one of the sides. Under Sides, enter 9 for a and 6 for b. Under Angles, enter 30 for B.

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Complete question:

Depending on a given set of conditions and the properties of triangles, any of these four outcomes is possible when constructing triangles:

No triangles fit the condition.

One unique triangle fits the condition.

Two triangles fit the condition.

Infinitely many triangles fit the condition.

Complete the steps below to find the number of triangles that can be constructed based on the following conditions: one side measures 7 centimeters, another side measures 9 centimeters, and the angle between them measures 74°.

Part A

What does the dotted line in the diagram represent?

Part B

Now think about changing the triangle. What happens to angle Z if the unknown side length increases while keeping the known side lengths (XZ and ZY) the same? Will the triangle still fit the given conditions?

Part C

What happens to angle Z if the unknown side length decreases while keeping the known side lengths (XZ and YZ) the same? Will the triangle still fit the given conditions?

Part D

Based on your conclusions in parts B and C, can the length of the unknown side be changed in any way without changing the given conditions for the triangle?

Part E

You know the given conditions for the triangle are fixed. You also know the unknown side length is fixed. What does this tell you about the two angles adjacent to the unknown side?

Part F

From your conclusions in part E, how many triangles can be constructed based on the given conditions?

art G

Let c be the unknown side of the triangle. Use this triangle calculator to solve for c. Under Sides, enter 7 for side a and 9 for side b. Under Angles, enter 74 for angle C. Click Calculate once you have entered the information. What is the length of side c?

Part H

Now try to construct a triangle using a different set of measurements. This time, you’ll enter three angle measurements. Return to the Calculator tab, and click the Clear button to begin a new calculation.

Under Angles, enter 45 for A, 40 for B, and 95 for C. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given angles.

Part I

Click Clear in the tool to begin a new calculation. This time, you’ll check for valid triangles given two sides and the angle opposite one of the sides.

Under Sides, enter 9 for a and 6 for b. Under Angles, enter 30 for B. Then click Calculate. What happened? What message did the tool deliver? Click “Show other solution” in the tool and explain the message in terms of the angle measurements and the given information.

In general, the employees at Store 1 got more sleep, with an average of 8.5 hours of sleep per employee, compared to Store 2's average of 7.5 hours.

The dot plots for the two stores show that Store 1 had employees who got between 5 and 10 hours of sleep, whereas Store 2 had employees who got between 4 and 8 hours of sleep. The median for Store 1 was 8.5 hours of sleep, and the median for Store 2 was 7.5 hours of sleep. This indicates that, in general, the employees at Store 1 got more sleep than the employees at Store 2. The dot plots also show that there were more employees at Store 1 with 8 hours of sleep than Store 2, and fewer employees at Store 1 with 6 hours of sleep than Store 2. This suggests that Store 1 had more employees getting 8 hours of sleep, and fewer employees getting 6 hours of sleep, than Store 2. This can be further seen by the fact that the average amount of sleep for employees at Store 1 was 8.5 hours, while the average amount of sleep for employees at Store 2 was 7.5 hours. Therefore, in general, the employees at Store 1 got more sleep than the employees at Store 2, with an average of 8.5 hours of sleep per employee, compared to Store 2's average of 7.5 hours.

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The complete question is

The following dot plots show the number of hours of sleep employees got before a major sale at two stores. Each dot represents a different employee. Complete the comparison of the typical hours of sleep. In general, the employees at got more sleep, with of sleep per employee compared to Store 2's.

Answer:

The result is 9000.

Step-by-step explanation:

The calculation is done as follows:

600 ÷ 50 = 12

12 + 30 x 100 = 3200

3200 - 600 ÷ 0 = 9000

However, dividing by 0 is undefined and results in an error.