Choose the inequality that represents the following graph. - 5 - 5 - 4 - 4 - 3 - 3 - 2 - 2 - 1 - 1 0 0 1 1 2 2 3 3 4 4 5 5 Choose 1 answer: Choose 1 answer: (Choice A) x < − 4 x<−4x, is less than, minus, 4 A x < − 4 x<−4x, is less than, minus, 4 (Choice B) x ≤ − 4 x≤−4x, is less than or equal to, minus, 4 B x ≤ − 4 x≤−4x, is less than or equal to, minus, 4 (Choice C) x > − 4 x>−4x, is greater than, minus, 4 C x > − 4 x>−4x, is greater than, minus, 4 (Choice D) x ≥ − 4 x≥−4x, is greater than or equal to, minus, 4 D x ≥ − 4 x≥−4x, is greater than or equal to, minus, 4

In the given diagram, the length of chord x is 14

From the question, we are to determine the length of x in the given diagram.

In the given diagram, we can deduce that x is a chord.

First, we will determine the angle subtended by the chord in the center of the circle.

Angle subtended by chord x = 360° - (110° + 80° + 60°)

Angle subtended by chord x = 360° - 250°

Angle subtended by chord x = 110°

From the Chord central angles theorem,

If the angles subtended by the chords of a circle are equal in measure, then the length of the chords is equal.

Thus,

The measure of chord x is 14

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Answer:

Step-by-step explanation:

Time/mph

To find:

a) Area of the circle.

b) Circumference of the circle.

Solution:

a) It is known that the area of a circle is whose radius is r is given by:

So, the area of the given circle is :

b)

It is known that the circumference of a circle whose radius is r is given by:

So, the area of the given circle is :

Answer:

x = 52

Step-by-step explanation:

50+(2x +30)+ (2x +20) + X=360

Combine like terms

5x+100 =360

Subtract 100 from each side

5x+100-100 = 360 -100

5x = 260

Divide by 5

5x/5  = 260/5

x = 52

Answer:

x=52

Step-by-step explanation:

50+(2x +30)+ (2x +20) + X=360

First combine like terms

50+30+20=100

2x+2x+x=5x

combine

5x+100=360

subtract 100

5x=260

divide by GCF (5)

x=52

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Answer:

The volume of the composite figure is approximately 337.27 m³

Step-by-step explanation:

The given parameters are;

The length of the cylinder, L = 15 meters

The diameter of the cylinder, D = 7 meters

The base length of the square prism, B = 4 meters

We note that the square diagonal of the square = √(4² + 4²) = 4·√2 ≈ 5.66 meters, fits in the cylinder

Therefore, we have;

The volume of the composite figure = The volume of the cylinder - The volume of the square prism

The volume of the cylinder = π/4 × D² × L = π/4 × 7² × 15 ≈ 577.27 m³

The volume of the square prism = B² × L = 4² × 15 = 240 m³

∴ The volume of the composite figure ≈ 577.27 m³ - 240 m³ ≈ 337.27 m³

The volume of the composite figure ≈ 337.27 m³.

Answer:

Angle AJL=54

Step-by-step

Answer: The answer is D, the first ten amendments to the constitution.

Answer:

93 feet

Step-by-step explanation:

Eagle is 75 feet from sea level
The fish is 18 Feet below sea level

Add the 2 values 75+18 = 93

93 Feet

-- Gage Millar, Algebra 1/2 and Pre-Calc Tutor.

The total number of chocolate chips in the cookies is 1000. All the cookies, except one, have the same number of chips, while the remaining cookie has one more chip than the others. The number of cookies in the jar is between one dozen (12 cookies) and three dozen (36 cookies).

To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we can follow these steps:

1. Let's assume the number of cookies in the jar is "x". Since the number of cookies is between one dozen and three dozen, we have the inequality: 12 ≤ x ≤ 36.

2. Since all the cookies, except one, have the same number of chips, we can divide the total number of chocolate chips by the number of cookies minus one. This gives us the number of chips in each cookie (excluding the one with the extra chip). So, the number of chips in each cookie is 1000 ÷ (x - 1).

3. The cookie with the extra chip has one more chip than the others. Therefore, the number of chips in the cookie with the extra chip is 1000 ÷ (x - 1) + 1.

4. To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we add the number of cookies (x) and the number of chips in the extra chip cookie (1000 ÷ (x - 1) + 1).

Remember that the number of cookies in the jar is between one dozen and three dozen, so the sum will vary depending on the number of cookies. You can substitute different values within the given range (12 ≤ x ≤ 36) to find different possible sums.

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To solve this problem, you can use the fact that the sum of the digits of a number is equal to the remainder when that number is divided by 9. This is because the digits of a number represent multiples of powers of 10, and the sum of these multiples will be equal to the remainder when the number is divided by 9.

For example, consider the number 12345. The sum of the digits is 1 + 2 + 3 + 4 + 5 = 15. Dividing 12345 by 9 gives a remainder of 6, which is the same as the sum of the digits.

Using this fact, you can convert the problem of finding the number of positive integers less than 1,000,000 with a sum of digits equal to 19 into a problem of finding the number of positive integers less than 1,000,000 with a remainder of 19 when divided by 9.

To do this, you can start by finding the remainder when 1,000,000 is divided by 9. Since 1,000,000 is divisible by 9, the remainder will be 0. Therefore, the remainder of any positive integer less than 1,000,000 when divided by 9 will be an integer between 0 and 8.

Since 19 is not between 0 and 8, there are no positive integers less than 1,000,000 with a remainder of 19 when divided by 9. Therefore, there are no positive integers less than 1,000,000 with a sum of digits equal to 19.

Answer:

Pair 1

Step-by-step explanation:

If you flip your computer screen upside down (Please don't actually do it I just can't think of any other way to explain it) it would be in the same rotation as the first figure.

Have a good day :)

(a)  (1203)4 is equal to 99 in decimal and 12 in hexadecimal.

(b)  (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.

To convert numbers from different bases to decimal using the direct method, we multiply each digit of the number by the corresponding power of the base and sum the results. To convert to hexadecimal using the intermediary binary conversion method, we first convert the number to binary and then group the binary digits into groups of 4, starting from the rightmost digit, and convert each group to its hexadecimal equivalent.

(a) Converting (1203)4 to decimal:

(1203)4 = 1 * 4³ + 2 * 4² + 0 * 4¹ + 3 * 4⁰

= 64 + 32 + 0 + 3

= 99

Converting (1203)4 to hexadecimal:

First, convert (1203)4 to binary:

(1203)4 = (10010)2

Next, group the binary digits into groups of 4:

(10010)2 = (0001 0010)2

Finally, convert each group to its hexadecimal equivalent:

(0001 0010)2 = (12)16

Therefore, (1203)4 is equal to 99 in decimal and 12 in hexadecimal.

(b) Converting (5243)8 to decimal:

(5243)8 = 5 * 8³ + 2 * 8² + 4 * 8¹ + 3 * 8⁰

= 2048 + 128 + 32 + 3

= 2211

Converting (5243)8 to hexadecimal:

First, convert (5243)8 to binary:

(5243)8 = (101 010 100 011)2

Next, group the binary digits into groups of 4:

(101 010 100 011)2 = (0001 0101 0010 0011)2

Finally, convert each group to its hexadecimal equivalent:

(0001 0101 0010 0011)2 = (1523)16

Therefore, (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.

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Answer:

43,000: 4.3×10^4

0.0072: 7.2×10^-3

0.0000901: 9.01×10^-5

Step-by-step explanation:

scientific notation: a×10^b, where should be 0<a<10

Step 1. Count the zeros

Step 2. Look at the number left, and determine whether or not it fits in the range of [a]. If not, we divide or multiply 10 to get it fit

------------------------

43,000: 4.3×10^4 (since 43 does not fit, we divide by 10 to get it fit)

0.0072: 7.2×10^-3 (since 0.72 does not fit, we multiply 10 to get it fit)

0.0000901: 9.01×10^-5 (since 0.901 does not fit, we multiply 10 to get it fit)

Hope this helps!! :)

Please let me know if you have any question

Answer: 3w-8

Step-by-step explanation: I don't quite understand you because I speak English but it's 3w-8

Answer:

Step-by-step explanation:B

Answer:

$67 - $11=  $56 Price of Concert Ticket

Step-by-step explanation:

If you subtract the Total amount of money Mr. Lee had at the begining of the concert and after he bought a ticket you will get the price of the ticket.

Total Money - After Ticket = Price of Ticket

Imput the Variables....

(Total Money) $67 - $11 (After Ticket) = $56 (Price of Ticket)

The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

h(t) = 35 - 16t²

h(t) = 6 + 18t + 16t²

At t = 0, Then we have

h(0) = 35 - 16(0)²

h(0) = 35

And

h(0) = 6 + 18(0) + 16(0)²

h(0) = 6

The height of the baseball is 6 feet at the moment the player begins to leap.

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Answer:

option 2 or B

Step-by-step explanation:

Answer:

esa esdjsjaoqsknwkww0w

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

The term "son of a mention" is not familiar in mathematics. The correct term might be "son of a gun" or "son of a function."A differential equation used to model your specific engineering course is called an engineering differential equation. Such equations are used to predict, control, and monitor various physical processes, ranging from the dynamics of mechanical systems to the motion of fluids and gases, and electrical and electronic circuits. It's essential to know the form of the differential equations, the initial and boundary conditions, and the physical meaning of the parameters to use them effectively in modeling physical systems.

The following MATLAB code represents a simple for loop with a nested if-else statement and a plotting command. The code generates a signal with two segments: a rising ramp from zero to three and a falling ramp from three to zero. The signal has a total duration of 10 seconds, a sampling interval of 0.05 seconds, and a plotting delay of 0.002 seconds.

01 t=0 02 while t<10 03

if

(t<5) 04 y=3*(1-exp(-t)); 05 else if

(t>=5) 06 y=3*exp(-t+5); 07 ends 08 end 09

t = t + 0.05 10 pauses (0.002)

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

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The Solution.

For the initial deposit of $3,000 to double it, means the amount will become $6,000.

Semi-annually implies 2 periods in a year.

The given formula is

substituting these values, we get

Therefore, the correct answer is 13 years (4th option)

Answer:

the top one

Step-by-step explanation:

it has the least number

Answer:

A

Step-by-step explanation: i got it right

The orthogonal basis for the subspace W is { -1, (0, sqrt(2y^2) + sqrt(6y^6))/(3sqrt(2y^2 + 6y^6)), (sqrt(2)y^2 + (sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)), sqrt(2)sqrt(6)y^6 - (sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)), sqrt(2/6))/sqrt(2y^4 + 12y^12 + 1/3) }.

To apply the Gram-Schmidt Process to the given vectors, we will first normalize each vector to obtain a unit vector. Then, we will subtract the projection of each subsequent vector onto the previous vectors to obtain orthogonal vectors. Finally, we will normalize the orthogonal vectors to obtain an orthogonal basis for the subspace W.

Let's begin:

1. Normalize the first vector -3:

\(v1 = (-3)/sqrt((-3)^2) = (-3)/3 = -1\)

2. Normalize the second vector (0, sqrt(2y^2), sqrt(6y^6)):

\(v2 = (0, sqrt(2y^2), sqrt(6y^6))/sqrt(0^2 + (sqrt(2y^2))^2 + (sqrt(6y^6))^2)\)

\(v2 = (0, sqrt(2y^2), sqrt(6y^6))/sqrt(2y^2 + 6y^6)\)

3. Subtract the projection of v2 onto v1:

proj_v2_v1 = ((v2 . v1)/(v1 . v1)) * v1

where . represents the dot product

v2_orth = v2 - proj_v2_v1

v2_orth = (0, sqrt(2y^2), sqrt(6y^6))/sqrt(2y^2 + 6y^6) - ((0 + sqrt(2y^2) + sqrt(6y^6))(-1/3))(-1)

v2_orth = (0, sqrt(2y^2), sqrt(6y^6))/sqrt(2y^2 + 6y^6) + (sqrt(2y^2) + sqrt(6y^6))/3

4. Normalize the orthogonal vector v2_orth:

u2 = v2_orth/|v2_orth| = (0, sqrt(2y^2) + sqrt(6y^6))/(3sqrt(2y^2 + 6y^6))

5. Normalize the third vector (sqrt(2)y^2, sqrt(2)sqrt(6)y^6, sqrt(2/6)):

v3 = (sqrt(2)y^2, sqrt(2)sqrt(6)y^6, sqrt(2/6))/sqrt((sqrt(2)y^2)^2 + (sqrt(2)sqrt(6)y^6)^2 + (sqrt(2/6))^2)

v3 = (sqrt(2)y^2, sqrt(2)sqrt(6)y^6, sqrt(2/6))/sqrt(2y^4 + 12y^12 + 1/3)

6. Subtract the projection of v3 onto v1 and v2:

proj_v3_v1 = ((v3 . v1)/(v1 . v1)) * v1

proj_v3_v2 = ((v3 . u2)/(u2 . u2)) * u2

v3_orth = v3 - proj_v3_v1 - proj_v3_v2

v3_orth = (sqrt(2)y^2, sqrt(2)sqrt(6)y^6, sqrt(2/6))/sqrt(2y^4 + 12y^12 + 1/3) - (sqrt(2)y^2)(-1) - ((sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)))(sqrt(2) + sqrt(6))

v3_orth = (sqrt(2)y^2 + (sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)), sqrt(2)sqrt(6)y^6 - (sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)), sqrt(2/6))/sqrt(2y^4 + 12y^12 + 1/3)

7. Normalize the orthogonal vector v3_orth:

u3 = v3_orth/|v3_orth| = (sqrt(2)y^2 + (sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)), sqrt(2)sqrt(6)y^6 - (sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)), sqrt(2/6))/sqrt(2y^4 + 12y^12 + 1/3)

Therefore, the orthogonal basis for the subspace W is { -1, (0, sqrt(2y^2) + sqrt(6y^6))/(3sqrt(2y^2 + 6y^6)), (sqrt(2)y^2 + (sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)), sqrt(2)sqrt(6)y^6 - (sqrt(2)sqrt(6)y^6)/(3sqrt(2y^2 + 6y^6)), sqrt(2/6))/sqrt(2y^4 + 12y^12 + 1/3) }.

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Exact length of border required by Kristin is calculated to be 9.42 ft.

This question can be solved using the concept of circumference of a circle.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve/arc length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles.

Circumference of a circle is given by 2πr.(r is the radius of the circle)

In the given question,

diameter= 3ft

radius= half times of diameter

radius= 1.5 ft.

Circumference= 2πr

= 2×3.14×1.5

=9.42 ft

Kristin will require 9.42 ft of border around the edge of the table.

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If two random variables, Y1 and Y2, are independent, the condition that needs to be satisfied is that the joint probability distribution of Y1 and Y2 factors into the product of their individual probability distributions.

Mathematically, for independent random variables Y1 and Y2, the condition can be expressed as:

P(Y1 = y1, Y2 = y2) = P(Y1 = y1) * P(Y2 = y2)

This means that the probability of both events Y1 = y1 and Y2 = y2 occurring together is equal to the product of the probabilities of each event occurring individually.

In simpler terms, knowing the outcome or value of one random variable does not provide any information about the outcome or value of the other random variable if they are independent. They do not influence each other's probability distributions.

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Answer:

sssssßssssssssssßsssssssss

Answer:

In geometry, a vertex angle is an angle associated with a vertex of an n-dimensional polytope. Often a vertex angle of a polygon is referred to simply as an angle of the polygon.

Answer:

Just post your question here

Step-by-step explanation:

In order to obtain a margin of error of 3% and be as economical as possible while using a 95% confidence interval, Gallup should use a sample size of 39 for their next year's poll on the troubles caused by drinking in American families.

To determine the sample size needed for Gallup's next year's poll on the troubles caused by drinking in American families, we can use the formula for sample size calculation:

n = (Z^2 * p * q) / E^2

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z = 1.96)

p = estimated proportion (in decimal form) based on previous data (30% or 0.3 in this case)

q = 1 - p (proportion of those without trouble)

E = desired margin of error (3% or 0.03 in this case)

Plugging in the values into the formula, we have:

n = (1.96^2 * 0.3 * (1 - 0.3)) / 0.03^2

Simplifying the equation:

n = (3.8416 * 0.3 * 0.7) / 0.0009

n ≈ 38.416

Since we cannot have a fraction of a person, we need to round up the sample size to the nearest whole number. Therefore, Gallup should use a sample size of 39 for their next year's poll to achieve a margin of error of 3% while being as economical as possible.

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Answer:

x = 11°

Step-by-step explanation:

x = 11° because it is an alternate interior angle to 11°

The surface area of a triangular prism is 288 square inches. If the triangle base is 8 inches, each rectangular face will be 8 inches broad and 10 inches long. The height of the triangular prism is 16 inches.

To find the height of the triangular prism, we need to use the formula for the surface area of a triangular prism:

Surface Area = 2(Area of the rectangular face) + (Perimeter of the base) x (Height)

We know that the rectangular face has a width of 8 inches and a length of 10 inches, so its area is:

Area of the rectangular face = 8 x 10 = 80 square inches

We also know that the surface area of the triangular prism is 288 square inches. Substituting these values into the formula, we get:

288 = 2(80) + (Perimeter of the base) x (Height)

Simplifying this equation, we get:

288 = 160 + 8(Height)

128 = 8(Height)

Height = 16 inches

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