Linear ApplicationThe function V(x) = 20.6 +2.2x gives the value (in thousands of dollars) of an investmentafter a months.Interpret the Slope in this situation.The value of this investment is decreasing✓at a rate ofdollars per year V

Answer:

Can you give more information so i can answer your question

Step-by-step explanation:

Answer:

-7.75

Step-by-step explanation:

\(\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75\)

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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True, all three parts of a whole, parts of a set, and division meanings of fractions involve the idea of partitioning.

Partitioning is a method of splitting numbers into smaller parts to make work easy. An example of Partitioning is when the child is taught to recognize that the number 54 represents 5 tens and 4 ones, which shows how the number can be partitioned into 50 and 4.

A fraction is defined as a part of the whole thing in mathematics, for example, when we say "1/2 of the pizza", we are partitioning the whole pizza into two equal parts and taking one of those parts. Types of Fractions are Proper Fractions, Improper Fractions, Mixed fractions, Like fractions, Unlike fractions, and Equivalent fractions

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The estimated quotient is $20, which corresponds to option D in the given choices. Thus, Rose estimated that she spent $20 per person on gifts.

Compatible numbers are numbers that are close in value and can be easily divided or multiplied mentally. These numbers are used to make estimation in mathematical calculations easier and quicker. By rounding numbers to compatible numbers, calculations become simpler, and  errors are minimized.

For example, if you need to divide 26 by 5, you can use compatible numbers by rounding 26 to 25 and 5 to 4. Then, you can easily divide 25 by 4 to get an estimate of the quotient as 6.25. Compatible numbers can also be used in multiplication, addition, and subtraction.

Using compatible numbers is particularly helpful when performing mental calculations or when there is no calculator available.

To estimate the quotient of 420 divided by 21 using compatible numbers, we can round 420 to 400 and 21 to 20. Then, we can divide 400 by 20 to get an estimate of the quotient:

420 ≈ 400

21 ≈ 20

400 ÷ 20 = 20

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Answer:

\(\sqrt{13}\)

Step-by-step explanation:

Given a vector < x, y > then its magnitude is

\(\sqrt{x^2+y^2}\)

Given the directed line segment

P (0, 0 ) → Q (3, 2 ) then

PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >

| PQ | = \(\sqrt{3^2+2^2}\) = \(\sqrt{9+4}\) = \(\sqrt{13}\)

The four factors that directly impact your total cost of using a credit card are given below:

What is total cost?

Total cost is the complete expense incurred to produce or acquire a product, service or to carry out a particular activity.

The four factors that directly impact your total cost of using a credit card are:

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The volume of a prism is V = Bh = πr2h, therefore the volume of a cylinder is also V = Bh = πr2h. Where, B is the area of ​​the base, h is the height, and r is the radius of the base.

A prism is a polyhedron all of whose faces are flat and whose bases are parallel to each other. It is a solid object with flat surfaces, identical ends, identical diameter and length. The volume of a prism is defined as the total space occupied by a three-dimensional object. Mathematically, it is defined as the product of the area of ​​the base and the length.

Therefore, the volume of the prism = base area × length

Volume of Cylinder:

The volume of a cylinder is the number of unit cubes (cubes per unit length) that can fit in it. It is the space occupied by the cylinder, because the volume of any three-dimensional shape is the space it occupies. The volume of a cylinder is measured in cubic units, such as cm³, m³, in³, etc.

The volume of cylinder is :

V = πr2h

where

'r' is the radius of the cylinder

'h' is the height of the cylinder

And, π is a constant whose value

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Answer: 333.2ft

Step-by-step explanation:

We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)

The height of the building is the other cathetus.

Now, we know that the angle of depression from the top of the building to the car is 42°

This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:

90° - 42° = 48°

if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.

Here we can use the relation:

Tan(A) = Opposite cathetus/adjacent cathetus:

Then:

Tan(48°) = H/300ft

Tan(48°)*300ft = H = 333.2ft

Answer:

270 ft

Step-by-step explanation:

The angle of depression from the top of the building to the car = 42° and the distance from the car to the building is 300 ft.

This can be represented by a right triangle with:

Adjacent side to the angle = distance from the car to the building = 300 ft, opposite side to angle = height of building = x and angle (θ) = 42°

From trigonometry:

\(tan(\theta)=\frac{opposite}{adjacent} \\Therefore:\\tan(42)=\frac{x}{300}\\ x = 300*tan(42)= 300*0.9\\x=270ft\)

The height of the building is 270 ft

Answer:

Step-by-step explanation :

Let x be the number.

x × 8/100 =48

x =48 × 100/8

Now cut 48 by 8 and we get 6.

x = 6 ×100

x =600

So 600 is the required number.

Given:

Total capacity if tank is 12 gallons.

Percentage of fuel filled in the tank is, 75%.

It is given that 75% of 12 gallons tank is filled.

Then, consider the gallons of filled as x.

Hence, the gallonos of gas fuel filled in tank is 9 gallons.

Step-by-step explanation:

ANSWER: DAB

The value of t for a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence is -1.717. Which is an option (C).

For the purpose of determining whether the mean value of a population is equal to a specific value or not, the t-distribution is used. One of the most critical features of the t-distribution is that it is used when the sample size is less than 30 or when the population's standard deviation is unknown.

T-distributions are a collection of theoretical probability distributions that arise from the normal distribution and are used in hypotheses testing. The critical values of t for a one-tailed test (lower tail) with 22 degrees of freedom at 95% confidence are given by the t-distribution table.

Given that the sample size is 22, the degrees of freedom would be 22 - 1 = 21.

Therefore, At 95% confidence, t for a one-tailed test (lower tail) with 22 degrees of freedom is -1.717. Therefore, the correct option is (C).

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Answer:

approximately $737.88.

Step-by-step explanation:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate

n = Total number of payments (number of months)

Monthly interest rate = 9% / 12 = 0.09 / 12 = 0.0075

Total number of payments = 6 years * 12 months/year = 72 months

M = 45000 * (0.0075 * (1 + 0.0075)^72) / ((1 + 0.0075)^72 - 1)

M ≈ $737.88 (rounded to the nearest cent)

Answer: polar form

Step-by-step explanation:

Answer:

x=32

Step-by-step explanation:

Answer:

SA=2lw+2lh+2hw

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

The value of x is x=7.

A triangle is a polygon with 3 sides.

Given, the measures of the interior angles of the triangle are 60°, 70°, and 6x+8.

Since the sum of the measures of the interior angles of a triangle is 180°, it follows:

60+ 70+ 6x+8 = 180

138 + 6x =180

6x = 180-138

6x = 42

x = 42/6

x = 7

Hence, the value of x is x=7.

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It's important to note that while BNP levels can provide additional information for diagnosing TACO, the diagnosis should be made based on a combination of clinical presentation, symptoms, and other laboratory findings. Consulting with a healthcare professional or hematologist is crucial for accurate diagnosis and appropriate management of transfusion reactions.

Evaluating B-type natriuretic peptide (BNP) levels before and after transfusion can be helpful in establishing a diagnosis for transfusion-associated circulatory overload (TACO). TACO is a transfusion reaction that occurs due to the rapid volume overload caused by transfusion. It primarily affects patients with pre-existing cardiovascular conditions.

BNP is a hormone released by the ventricles of the heart in response to increased stretching of cardiac muscle cells. Elevated BNP levels indicate heart stress or failure. In the context of transfusion reactions, monitoring BNP levels before and after transfusion can help differentiate TACO from other transfusion reactions that may present with similar symptoms.

If BNP levels are elevated before transfusion and increase further after transfusion, it suggests that TACO is likely the cause of the reaction. This pattern indicates worsening heart stress due to volume overload from the transfusion. By contrast, other transfusion reactions may not have a significant impact on BNP levels.

It's important to note that while BNP levels can provide additional information for diagnosing TACO, the diagnosis should be made based on a combination of clinical presentation, symptoms, and other laboratory findings. Consulting with a healthcare professional or hematologist is crucial for accurate diagnosis and appropriate management of transfusion reactions.

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Answer:

24

Step-by-step explanation:

24/21=1, and 72/24=3

The number of people who could be expected to buy a flag using the expression (22/200) x 25,000 is 2,750.

Option D is the correct answer.

We have,

Based on the table,

The number of people who could be expected to buy a flag out of 25,000 visitors is:

(22/total items sold) x 25,000

To find the total items sold, you can add up the number of caps, jerseys, flags, and programs:

Total items sold.

= 68 + 19 + 22 + 91

= 200

The number of people who could be expected to buy a flag is:

(22/200) x 25,000 = 2,750

Thus,

The number of people who could be expected to buy a flag is 2,750.

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The complete table is given below:

Item          Number of people

Cap           68

Jersey       19

Flag           22

Program    91

The domain is the x-axis and the range is the y-axis.

To find the domain, you measure or count the widest part of this oval horizontally. So that is 3 units to the right of 0 and 3 units to the left of 0. I counted it exactly on the axis because that is the widest part of the oval.

To find the range, you again count or measure the widest part of the oval vertically. So that is 4 units above 0 and 4 units below 0.

Final Answer

D: -3 ≤ x ≤ 3

R: -4 ≤ x ≤4

The unsigned decimal equivalent of the unsigned base 7 integer value 11101010 is 958349.

To convert a base 7 integer to decimal, we can use the following formula:

decimal_equivalent = (digit_1 * 7^0) + (digit_2 * 7^1) + ... + (digit_n * 7^n)

where digit_1, digit_2, ..., digit_n are the digits of the base 7 integer and n is the number of digits.

In this case, the base 7 integer is 11101010, which has 6 digits. So, the decimal equivalent is:

decimal_equivalent = (1 * 7^0) + (1 * 7^1) + (1 * 7^2) + (0 * 7^3) + (1 * 7^4) + (0 * 7^5) = 1 + 7 + 49 + 0 + 168 + 0 = 958349

Therefore, the unsigned decimal equivalent of the unsigned base 7 integer value 11101010 is 958349.

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Answer:

Step-by-step explanation:

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.

Theorums

To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:

Supplementary Angles: When two angles add up to 180 degrees.

Complementary Angles: When two angles add up to 90 degrees.

Interior/Exterior Angles Theorum.

Right Angles.

Solving

So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.

What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.

Upon solving that, we know that B for the first one is

\(90=b+65\\b= 25\)

We know that b is 25 degrees for the first one.

For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.

\(180=80+b\\b=100\)

We know that b is 100 degrees.

For the third one, we know the entire thing is 360 degrees. Since we know that, we can solve for b as we have all the angles needed.

\(244+23+b=360\\b=93\)

Upon solving, we know that b is 93 degrees.

For the final one, due to vertical angles, b is equal to 48 degrees!

Feel free to ask any questions you have in the comments!

Cheers!

Therefore, the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2).

To show that the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2), we can use the concept of the Intermediate Value Theorem and Rolle's Theorem.

Let's assume that the equation has two distinct roots, denoted as a and b, in the interval (-2, 2). Without loss of generality, we assume a < b.

Since the function is continuous on the closed interval [-2, 2] and differentiable on the open interval (-2, 2), we can apply Rolle's Theorem. According to Rolle's Theorem, there exists a point c in the open interval (a, b) such that the derivative of the function at c is zero.

Consider the derivative of the function f(x) = x^3 - 15x + c:

f'(x) = 3x^2 - 15

Setting f'(c) = 0, we have:

3c^2 - 15 = 0

c^2 - 5 = 0

c^2 = 5

Taking the square root of both sides, we get:

c = ±√5

Now, let's consider the function values at the endpoints of the interval (-2, 2):

f(-2) = (-2)^3 - 15(-2) + c = -8 + 30 + c = 22 + c

f(2) = (2)^3 - 15(2) + c = 8 - 30 + c = -22 + c

If c = √5, then f(-2) = 22 + √5 and f(2) = -22 + √5.

If c = -√5, then f(-2) = 22 - √5 and f(2) = -22 - √5.

In either case, the function values at the endpoints have different signs. This implies that there exists at least one value, say k, in the interval (-2, 2) such that f(k) = 0, according to the Intermediate Value Theorem.

However, we assumed at the beginning that there are two distinct roots in the interval (-2, 2), denoted as a and b. This contradicts our finding that there is at most one root in the interval. Hence, our assumption of having two distinct roots is false.

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Answer:

x=2

Step-by-step explanation:

Thanks sweetheart <3

Line segment is limited by two endpoints which also define one.

A Line is not limited to but only exists because of those two endpoints.

Hope this helps.