Prove limit of function by using definition (delta-epsilon)​

Prove Limit Of Function By Using Definition (delta-epsilon)

Answers

Answer 1

Answer:

Refer to step-by-step

Step-by-step explanation:

Prove the following, [tex]\lim_{x \to \ 2} 2^{x}=4[/tex], [tex]\lim_{z \to \ -1} 3^{x}=\frac{1}{3}[/tex], and [tex]\lim_{x \to \ 1} e^{x-1} = 1[/tex].

For part f:

Plug in the value of the limit, 2,

[tex](2)^{2} =4[/tex]

Thus we proved the limit.

For part g:

Plug in the value of the limit, -1,

[tex]3^{(-1)}[/tex]=>[tex]3^{-1}[/tex]=>[tex]\frac{1}{3^{1} }=\frac{1}{3}[/tex]

Thus we proved the limit.

For part h:

Plug in the value of the limit, 1,

[tex]e^{(1)-1}[/tex]=>[tex]e^{1-1}[/tex]=>[tex]e^{0}=1[/tex]

Thus we proved the limit.


Related Questions

Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 12 inches and height of 8 inches.

Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.

V equals 355 over 113 times 12 squared times 8
V equals 355 over 113 times 6 squared times 8
V equals 355 over 113 times 8 squared times 6
V equals 355 over 113 times 8 squared times 12

Answers

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

Define volume.

Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).

Here,

The volume of cylinder = πr²h

Given : Diameter = 12 inches

radius = 12/2 = 6 inches

Height = 8 inches

Thus ,

To find the volume  we put the all the above values in the formula:

=> V = πr²h

=> V = 22/7 * 6² * 8

=> V =355/113 * (6)² * 8

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

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Answer:

V equals 355 over 113 times 6 squared times 8.

Step-by-step explanation:

What is the answer to 156 x 13

Answers

Answer: 156 x 13 = 2,028

Answer:

2028

Step-by-step explanation:

156 x 13 = 2028

You want to buy a $135,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan at
6.1% interest for the rest.

How much is the loan amount going to be?

What will your monthly payments be?

How much total interest do you pay?

Suppose you want to pay off the loan in 15 years rather than 30. What will your monthly payment be?

Answers

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

What is percentage?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Ethan has 3pounds of mixed nuts how many ounces of mixed nuts does Ethan have ?

Answers

Answer:

48 ounces of Mixed Nuts

Step-by-step explanation:

You need to convert pounds to ounces to find the answer to this problem.

1 pound is 16 ounces, so multiply 3 by 16 for your answer,

Question
A scientist wants a 90 ounce acid solution with a concentration of 12%. She has concentrations of 8% and 18%. How
much of each solution must she use to get the desired concentration?

Answers

On solving the provided question, we can say that - the percentage value of 12 % of 90 = 10.8

What is percentage?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

12% of 90 = 12/100 X 90

= 0.12 X 90 = 10.8

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In 2-4, write yes or no to indicate whether the expressions are equivalent. Grade 6 math, please help

Answers

you have to combine like terms so -10x & 2x = -8x (same signs add & keep diff signs subtract, take the sign of the higher value then you’ll be exact) & -3 & -5 = -8 so it’s -8x -8 & then distribut the - 4 so (-4)(3x) = -12x & -4(-2) = 8. for 2. it’s no, -8x-8 & 12x+8 are no equivalent.

15. Malik used the method of elimination to solve the system below.
4x+3y=12
2x+y=5
(a) Malik first rewrote the second equation as:
-6x-3y=-15
What property justifies writing this equation?
(b) Malik correctly solves this system usi
elimination. Was the value he found for
larger or smaller than 1? Justify.

Answers

On solving the provided question, we can say that - the perimeter chest won't fit next to her bed, thus the answer is no.

What is a perimeter?

The perimeter of a form is determined by the length of its contour. A rectangle or square's perimeter is determined by adding the widths of its four sides. In this instance, the rectangle's length and breadth are represented by x and y, respectively. The surface of a form is used to compute its area.

Given here is: In her room, it is 86 inches wide. The width of the bed is 76 inches.

She also wants to accommodate a chest of drawers that is 72 centimeters broad, which equals inches.

=> 90 cm = 24.6546536565 inches

and the space left in her room = 86-76=10 inches

thus, the chest will not fit next to her bed

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Which of the following equations represent linear functions? select all that apply

Responses

3x+5y=1

y= -9/x2(2 is an exponent)

y=x2(2 is an exponent)-7

y=1/x
will give brainliest for whoever answers correctly and quickly

Answers

3x+5y=1
When you put this into slope intercept form you should get a linear function. For the second and third, it has exponents so it can’t be linear and the last one also isn’t linear

I need to figure out how to do linear fuctions... If I could get help that would be great, thanks.

Answers

Answer:

linear function can be found by looking at a linear graph and determining the equation of the line and converting that equation into a function.Step-by-step explanation:

The steps to do this are: Find the y-intercept (this is equal to b in the formula) Find the slope of the line (this is equal to m in the formula)

EXAMPLE 3.1.30. Let R be the relation on Z defined by ïRy ⇒ x − y is divisible by 3. Then R is an equivalence relation on Z. Find [0], [1], [2], [4], [-1]​

Answers

equation in slope-intercept form of the line that pae through the point (4, 7) and is parallel to the line represented by y = 2x - 5 is ( y - y1 ) = m( x - x1 ) => y - 7 = 2 (x-8) => 2x - y - 1 = 0

What is slope?

A number that specifies a line's direction and slope is known as the slope or slope of a line in mathematics. A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x).

equation is -

y = 2x - 5

since these are parallel to each other,

slope, m= 2

now the equation is -

( y - y1 ) = m( x - x1 )

y - 7 = 2 (x-8)

2x - y - 1 = 0

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Set V Is all do you need three digit numbers using the digits 1,2,3,4 and 5. Which set would be considered a subset V

Answers

The set that would be considered as subset V = {1,3,5} i.e set of odd numbers

What is a subset?

A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B. A set is a collection of objects or elements, grouped in the curly braces, such as {a,b,c,d}. If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.

In the set 1,2,3,4,5 contains odd numbers and even numbers. But there are just 2 even numbers and 3 even numbers.

But the subset V of the numbers above must contain 3 numbers, this means that subset V will contain odd numbers from 1 to 5.

Therefore, This means that subset V = { 1,3,5}

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What's the equation and solution?​

Answers

Observing the given figure , It is a balanced balance which signifies both side should be equal, The answer is 2=-8-x and x=-10.

What do you mean by equations?

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

What are the methods to solve system of equations?

There are three ways to solve systems of linear equations :

GraphingSubstitution methodElimination method

2=-8-x is the required balanced equation.

-x = 2 + 8

x= -10

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in a military camp 50 offices had a choice of beans, plantain and rice. of there, 21 chose beans, 24 plantain and 18 rice. Also 3 chose beans only, 9 plantain only, 2 rice only and 5 chose all three kinds of food

illustrate this on a venn diagram​

Answers

The Venn diagram to illustrate this information is given 24 children got plantain and 18 rice and 21 chose beans.Following relation are given below.

What is Venn diagram in math?

A  Venn diagram is a diagrammatic representation of two or more sets.The Venn diagram shows the relationship among sets using circles and the area they cover concerning each other.Venn diagrams are used to visually depict sets, relationships between sets, and operations on sets.

What are the symbols in Venn diagram?

∪ symbol shows Union of two sets. A complete Venn diagram represents the union of two sets. ∩ shows the Intersection of two sets.Intersection represents something that you want to compare and contrast. Where the two circles intersect we would write traits that the two things have in common.

Now

The number of children who took plantain and beans only are:

Let  beans = a

Rice = b

Plantain = P

So:  a + b = 24 - 9 - 5 = 10

Note that 24 children took plantain.

9 children took only Plantain.

5 took the 3 food items.

So,

b + c = 18 -2 - 5 = 11

a + c = 21 - 3 - 5 = 13

P∩B = a + 5

= 6 + 5 = 11

R ∩ B = C + 5

=7 + 5 = 12

None of the three items of food =  

50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)

= 50 - 36

=14

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In a school containing 360 children, 198 are girls. What percent of all children are girls? What percent of the children are boys? The number of girls is what percent of the number of boys? The number of boys is what percent of the number of girls?
the number of girls is _____% of the number of boys.

Answers

Answer:

1st question :55%

2nd ":122.22%

3rd ":81.82%

when a positive integer was multiplied by each of its digits, the product was 1995. Find the original number.

Answers

Answer:

  57

Step-by-step explanation:

You want a positive number that gives a product of 1995 when it is multiplied by each of its digits.

Number

The prime factors of 1995 are 3, 5, 7, 19. The product of 3 and 19 gives 57, so multiplying 57 by 5 and 7 will result in the product 1995.

The original number is 57.

<95141404393>

A principal of $3600 is invested at 3.5% interest, compounded annually. How much will the investment be worth after 12 years? Use the calculator provided and round your answer to the nearest dollar. X S​

Answers

Answer:

$5043

Step-by-step explanation:

To find the value of the investment after 12 years, you can use the following formula:

A = P * (1 + r/n)^(nt)

Where:

A = final amount

P = principal

r = interest rate

n = number of times the interest is compounded per year

t = number of years

Plugging in the values from the problem, we get:

A = 3600 * (1 + 3.5/100)^(1*12)

Solving this equation, we get:

A = $5043.33

So, after 12 years, the investment will be worth $5043.33.

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

Answer:

B, C, E

Step-by-step explanation:

Let y = length.

Then, y - 5 = width.

area = length × width

area = y(y - 5)

area = 750

y(y - 5) = 750

y² - 5y = 750

A: y(y + 5) = 750

Since y = length, width must be y - 5, not y + 5, so A does not work.

B: y² - 5y = 750

This is what we got above, so this equation works.

C: 750 - y(y - 5) = 0

750 = y(y - 5)

750 = y² - 5y

This is the same as B and works.

D: y(y - 5) + 750 = 0

y(y - 5) = -750

The area cannot be -750, so this equation does not work.

E: (y + 25)(y - 30) = 0

y = -25 or y = 30

This also works.

Answer: B, C, E

Is this relation a function? Justify your answer.
11
10
9
8
7
654321
1 2 3 4 5 6 7 8 9 10 11
OA. Yes, because every x-value corresponds with a single y-value.
OB. Yes, because the number of x-values is the same as the number of
y-values.
OC. No, because two points with the same y-value have different x-
values.
OD. Yes, because every x- and y-value is positive.

Answers

Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.

What is meant by function?A function is a relationship between a collection of inputs and one output per input. A function is, to put it simply, an association between inputs where each input is linked to exactly one output.For each function, a domain, codomain, or range exists. A function is often represented by the expression f(x), where x represents the input.A "chunk" of code that may be utilized repeatedly rather than having to be typed down repeatedly is called a function.Programmers can break a huge problem down into smaller components, each of which can perform a specific purpose, by using functions.

Therefore,

(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)

Every input has a single output, proving that it is a function.

The elements in the domain of the provided relation are therefore 2,5,8,11,14, and 17.

Here, domain is equal to two and range is one.

(ii) (2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)

Every input has a single output, proving that it is a function.

Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.

Here, range is 1,2,3,4,5,6,7 and domain is 2,4,6,8,10,12,14.

(iii) (1,3),(1,5),(2,5)

Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.

The complete question is:

Which of the following relations are functions? Give reasons.

If it is a function determine its domain and range

(i) (2,1),(5,1),(8,1),(11,1),(14,1),(17,1)

(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)

(iii) {(1,3),(1,5),(2,5)

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i really need help with this, i dont get how to identify outliners and gaps stuff, please help?​

Answers

On solving the provided question, we can say that - the plotting data will be done by 3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15

what is plotting data?

A graph that demonstrates the relationship between two or more variables is the most common way to depict a data set using a chart. Both hand-drawn and computer-drawn diagrams are acceptable. Start at the origin and move 2 units to the right before moving 3 units up to draw the coordinates for the point 2,3 on the coordinate plane. Make your points clear. As a result, the pink dot with the letter P on it denotes 2.3. A number line containing each value in your data collection should be first created before making a line chart. Then, on the number line, put an X (or dot) over each value of the data. Put an X over the number for each time a value appears in a record where it does.

so we have to plot data from the given data, we can do by

3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15

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3. Candy previously sold for $1.60 per pound is now offered for 48 cents in a 6 ounce
package. What is the ratio of former price to present price??

Answers

Answer: 5:3

Step-by-step explanation:

note: 16 ounces= one pound          
6 ounces = ?

∴6 ounces = pounds

48 cents = pounds

multiplying both sides by 

108 cents = 1 pound in the new price

= $1.08 in the new price 

ratio of old price to new price = 

therefore ratio of old to the new price = 5:3

find the area and circumference of a circle with a radius 5 m. use the value 3.14 for radius, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

What is a circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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Keshawn is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?

Answers

Answer: four textbooks

Step-by-step explanation:

Lisette wrote the following algebraic expression to represent “4 times as large as the product of w and 11.”

Answers

The translation of the sentence "4 times as large as the product of w and 11" to an expression is 44w

How to translate the algebraic sentence to an expression

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

“4 times as large as the product of w and 11.”

The number is represented with w

So, the statement remains unchanged as follows

“4 times as large as the product of w and 11.”

4 times as large means 4 *

So, we have the following representation

4 times as large as the product of w and 11 ⇒ 4 * the product of w and 11.

the product of means that we multiply

4 times as large as the product of w and 11 ⇒ 4 * w * 11

Evaluate the products

This gives

4 times as large as the product of w and 11 ⇒ 44w

Hence, the expression is 44w

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Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.

Answers

If Jesus adds $50 each week to the account that currently holds $325, then after 1 week the account will hold 325 + 50 = $375.

After 2 weeks, the account will hold 375 + 50 = $425.

After 3 weeks, the account will hold 425 + 50 = $475.

And so on.

In general, after n weeks, the account will hold 325 + 50n dollars

A tank of water is being drained. Due to a problem, the sensor does not start working until some time into the draining process. The sensor starts its recording at time zero when there are 770 liters in the tank.

Answers

The complete table is given below.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1)

Time after         change in water     expression      water in tank  

sensor starts

0                              0                        770 + (0)(-14)        770

1                             -14                        770 + (1)(-14)         756

5                            -70                       770 + (5)(-14)        700

10                          -140                      770 + (10)(-14)       630

2)

Time after         change in water     expression      water in tank  

sensor starts

1                           -14                          770 + (1)(-14)         756

0                          0                           770 + (0)(-14)        770

-1                           14                          770 + (-1)(-14)        784

-2                          28                         770 + (-2)(14)        798
-3                          42                         770 + (-3)(14)         812

-4                          56                         770 + (-4)(14)         826

-5                          70                          770 + (-5)(-14)       840

Thus,

The complete table is given above.

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The complete question is given below.

find the equation of a line parallel to y=-5x+3 that pases through the point -3,-4

Answers

Answer:

  y = -5x -19

Step-by-step explanation:

You want the equation of the line parallel to y=-5x+3 through point (-3, -4).

Parallel lines

The equations of parallel lines differ only in their constant. We can find the new constant by using the values at the given point:

  y = -5x +b

  -4 = -5(-3) +b

  b = -4 -15 = -19 . . . . . . subtract 15

The equation is ...

  y = -5x -19

what is the slope of the table below? 3/8 15/12 9/10 0/7

Answers

The slope of the table shown in the image attached below is equal to: D. 1/3.

How to calculate the slope of the given table?

Mathematically, the slope of the given table can be calculated by using the following mathematical expression;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided in the table, we have the following data points:

Points on x-axis = (-2, 2).

Points on y-axis = (-4, -2).

Substituting the given points into the slope formula, we have;

Slope, m = (12 - 8)/(15 - 3)

Slope, m = 4/12

Slope, m = 1/3

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A trapezoid has interior angle measures of 95°, 97", 85° and X degrees. Find the measure of angle X in the trapezoid. Enter only the number of degrees in the answer
box.
The solution i:

Answers

As a result, you are turning the entire trapezium figure 90 degrees clockwise in order to change the trapezoid LMNQ into L′M′NQ′.

The trapezoid is what?

In American and Canadian English, a trapezoid is a quadrilateral with at least one set of parallel sides. In British and other versions of English, the word is a trapezium. A trapezoid is always a convex quadrilateral in Euclidean geometry. The parallel sides of the trapezoid are referred to as its bases.

Given: When (-7,-2) to L, L becomes L' (-2,7)

You will often obtain a rotation of 90 degrees clockwise or 270 degrees counterclockwise around the origin (0,0), as well as a reflection across the x-axis and across the line of symmetry of the image, if you have (x,y) and it becomes (y,-x).

The entire graphic is therefore rotated 90 degrees in a clockwise orientation.

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two subtracted from the product of 9 and a number is greater than or equal to 19 .

translate the sentence into an inequality ​

Answers

Answer: 9x - 2 >= 19.

Step-by-step explanation:

The sentence can be translated into the inequality 9x - 2 >= 19.

Here is a step-by-step breakdown:

"Two subtracted from the product of 9 and a number" can be written as 9x - 2.

"Is greater than or equal to 19" can be written as >= 19.

Putting these two pieces together, we get the inequality: 9x - 2 >= 19.

what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right

Answers

Answer:

To calculate the percent of change for your grade, you will need to know your original grade and your revised grade. If you originally got 5 questions right and you checked your work and ended up with 15 questions right, you can calculate the percent of change as follows:

Subtract your original score from your revised score to find the difference: 15 - 5 = 10

Divide the difference by your original score and multiply by 100 to express the change as a percentage: (10 / 5) x 100 = 200%

This means that your grade increased by 200%.

Step-by-step explanation:

Other Questions
What is one example of a close economy? Balance the following equationsa.H2+O2 -> H2O b.ZnS + O2 -> ZnO + SO2 How do you solve 5 v 29? On the Income Statement, which of the following would be classified as a variable cost? Select: 1O Depreciation ExpenseO Promotion ExpenseO R&D ExpenseO Direct Labor Expense Which of the following three equations represent the same line? 12(t) (2,2,4) +t(2,4,6) O A. 1(),12() and Ia(t O B. 11(t) and 12(t) . 12(t) and la(t) D. 1(t) and 1(t) E. none Submit Green River Community College's scholarship fund receives a gift of $ 135000. The money is invested in stocks, bonds, and CDs. CDs pay 3.25 % interest, bonds pay 5.1 % interest, and stocks pay 7.1 % interest. GRCC invests $ 25000 more in bonds than in CDs. If the annual income from the investments is $ 7330 , how much was invested in each vehicle The double blind procedure is most likely to be used in evaluating the effectiveness ofa. cognitive therapiesb. behavior therapiesc. humanistic therapiesd. drug therapies The Pequot peoples worked with the Dutch to control most of the____in the region.A. food supplyB. tobacco farmsC. fur tradeOD. horse tradingSUBMITin How do you find the angles of an isosceles triangle given three sides and no angles? What is the literary meaning of an ode? How would this part of the story be different if it were told from To Juan's perspective? It would use an irritated voice and have a resentful tone. It would use a confident voice and describe Gonzalo's actions as interfering. It would use a determined voice and have an excited tone. It would use a relaxed voice and describe Gonzalo's actions as helpful. It would use a relaxed voice and describes as helpful The discount rate is referred to by all of the following alternative names except the.O cutoff rateO hurdle rateO required rate of returnO accounting rate of return PLEASE HELP ENGLISH QUESTION Refer to Wordsworth's poem "Lines Written in Early Spring."Which response best supports the idea that this poem appeals to the common person?The main idea of the poem is about nature.The author uses figurative language.The author grieves about what humans have done to other humans.The author uses language that is familiar to the average human. What was John Locke's main philosophy? 4.3.3 Refer to Exercise 4.3.1. Suppose we select a simple random sample of five adults. Use Equation 4.3.2 to find the probability that, in the sample, the number of people who have been told that they have hypertension will be: (a) Zero (b) More than one (c) Between one and three, inclusive (d) Two or fewer (e) Fiv On the question of whether american laws applied to the overseas territory acquired in the spanish-american war, the supreme court ruled in the insular cases that? Can anyone help me fill in the other blanks Jasmine received a chemotherapy order for a patient. She calculated the dose needed to be 25 mL. Which syringe size should Jasmine choose to fill the order Studying the anatomy of different organisms allows scientists to determine how different species have evolved over time. Which type of anatomic structure are bird wings and butterfly wings when compared to each other? Find the ordered triplet (x,y,z) for the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7