Given u = LeftAngleBracket 8, 0 RightAngleBracket and v = LeftAngleBracket negative 1, negative 2 RightAngleBracket, what is v – u? LeftAngleBracket negative 9, negative 2 RightAngleBracket LeftAngleBracket negative 8, 0 RightAngleBracket LeftAngleBracket 9, 2 RightAngleBracket LeftAngleBracket 10, 1 RightAngleBracket

ANSWER: A
-9,-2

Answer:

D

Step-by-step explanation:

In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.

Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:

\(20 \times 2.5 = 50\)

The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:

\(T(f) = 68 - 0.3f\)

Jody is at a depth of 50 feet, thus the temperature is T(50).

\(T(50) = 68 - 0.3(50) = 53\)

The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

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The solution of the given equation are; (x + 8)(x − 9)

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We have been given the quadratic equation as;

x² − x − 72

Solving;

x² − (9-8)x − 72

x² − 9x +8x− 72

The factors are;

(x + 8)(x − 9)

Therefore, the solution of the given equation are; (x + 8)(x − 9)

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Answer:

M.E = 0.083

the margin of error for the confidence interval for the population proportion with a 98% confidence level is 0.083

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

p+/-z√(p(1-p)/n)

p+/-M.E

Given that;

M.E = margin of error

Proportion p = 15/100 = 0.15

Number of samples n = 100

Confidence interval = 98%

z(at 98% confidence) = 2.33

Substituting the values we have;

0.15 +/- 2.33√(0.15(1-0.15)/100)

0.15 +/- 2.33√0.001275

0.15 +/- 2.33(0.035707142142)

0.15 +/- 0.083197641192

0.15 +/- 0.083

So;

p = 0.15

M.E = 0.083

the margin of error for the confidence interval for the population proportion with a 98% confidence level is 0.083

Answer:

7/20 thinner

Step-by-step explanation:

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

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Answer:

530.66

Step-by-step explanation:

The way we find the area of the circle we use the radius of the circle for this one it's 13cm squared * pi or 3.14

For this circle we do 3.14 * 13^2

First we have to square 13: 13^2 = 169

Then we multiply 169 by 3.14: 3.14 * 169 = 530.66

Then we do to the nearest hundredth which is the same as the previous answer: 530.66

Answer:

169 pie

Step-by-step explanation:

pie is 3.14 and the r stands for radius

in the question radius is 13

in ur calculator u shall type pie times 13 squared

sorry I couldn't use figures to show but I hope that helped

The average rate of change of the given function from x equals -7 to x equals 2 is calculated as: B. 101/90.

If we are given a function, f(x), to find the average rate of change of the function within the interval from a to b, the formula to use is:

Average rate of change = f(b) - f(a) / b - a.

Given the table that represents  function, we have the following:

a = -7

b = 2

f(a) = f(-7) = -2.7

f(b) = f(2) = 7.4

Plug in the values into the formula:

Average rate of change = (7.4 - (-2.7)) / (2 - (-7))

= (7.4 + 2.7) / 2 + 7)

= 10.1 / 9

= 101/90

Therefore, the average rate of change is: B. 101/90.

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Answer:

h represents the Venn diagram for the above question

Answer:

34

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

For every 5 students, 1 wears glasses and 4 don't.  If you take the total number of students, 30, and divide it by 5, you have 6 groups of 5 students.  There will be 1 student for each of those groups wearing glasses, or 6 students.

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Answer:

D

Step-by-step explanation:

Hey There!

To find the area of a rectangle we do length times width

17 is the width and 4 is the length

so area is equal to 17x4

17x4=68 so your answer would be D

Answer:

Step-by-step explanation:

17 * 4 = 68

so the answer is d

The distance the person drove was 624 miles.

To find the distance the person drove, we need to use the formula:

Distance = Speed × Time

Let's assume the distance the person drove at 39 mph is D miles. We can set up the following equation based on the given information:

D = 39 × T

Where T is the time it took to complete the trip in hours.

According to the second condition, if the person had driven at 52 mph, they would have arrived 4 hours earlier. This can be expressed as:

D = 52 × (T - 4)

Now we can set up an equation by equating the two expressions for D:

39 × T = 52 × (T - 4)

Simplifying this equation gives:

39T = 52T - 208

13T = 208

T = 16

Now we can substitute the value of T back into one of the earlier equations to find the distance:

D = 39 × 16

D = 624 miles

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9514 1404 393

Answer:

  about 3,160,000,000

Step-by-step explanation:

"Increases at a rate proportional to population" means the growth is exponential. It can be modeled by the equation ...

  p = ab^t

We can find 'a' and 'b' using the given data points.

  100 = ab^(-4) . . . . . . . population 4 days ago

  100,000 = ab^(-2) . . . population 2 days ago

Dividing the second equation by the first, we find ...

  1000 = b^2

  b = 1000^(1/2)

Substituting for b in the first equation, we have ...

  100 = a(1000^(1/2))^(-4) = a(1000^-2)

  100,000,000 = a

Then the population model is ...

  p = 100,000,000×1000^(t/2)

__

Tomorrow (t=1), the population will be ...

  p = 100,000,000 × 1000^(1/2) ≈ 31.6 × 100,000,000

  p ≈ 3,160,000,000 . . . . . bacteria by tomorrow

_____

Additional comment

We could write this as ...

  p = 10^(8+1.5t)

Then for t=1, this is p = 10^(8+1.5) = 10^0.5 × 10^9 = 3.16×10^9

Answer: 142825

Step-by-step explanation:

If \(t\) is the number of years, then the population is \(P(t)=100000(1.02)^t\).

Setting \(t=18\). \(P(18)=100000(1.02)^{18} \approx 142825\).

Answer:

Step-by-step explanation:

X: -2, -1, 0, 1, 2,...

Y: -2, -1, 0, 1, 2,...

(y=x)

Answer:

\( 84 \: {cm}^{2} \)

Step-by-step explanation:

Area of the figure = Area of rectangle + Area of trapezoid

\( = 18 \times 3 + \frac{1}{2} \{(18 - 11) + 3) \}(9 - 3) \\ \\ = 54 + \frac{1}{2} \{7 + 3 \}6\\ \\ = 54 + 10 \times 3\\ \\ = 54 + 30 \\ \\ = 84 \: {cm}^{2} \)

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

610.48

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n) ^nt  where

A is the amount in the account

P is the principle

r is the interest rate

n is the number of times the interest is compounded per year

t is the time in years

A = 500(1+.05/12) ^12*4

A = 500(1+.0041666666) ^48

A = 500(1.0041666666) ^48

A = 500*1.220895355

A =610.4476775

Rounding to the nearest cent

A = 610.48

Answer: B. 25

Step-by-step explanation:

Given: Total books = 625

Number of books can fit in one box = 25

Now, the number of boxes she need to move all of the books = (Total books) ÷ (Number of books can fit in one box )

= 625÷25

= 25

hence, she requires 25 boxes in order to move all of the books.

So, correct option is B. 25.

the correct option is the first one (-10, -3)

All real numbers x falling inside this range are those such that

-10 < x < -3. The numbers -10 and -3 are not part of the set, as shown by the parentheses.

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. Check the set symbols here as well. The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set. The number of elements in a set is determined by its order. It describes a set's size. Cardinality is another name for the set order.

From the question:

In interval notation, the set of all integers between -10 and -3 may be written as:

(-10, -3)

All real numbers x falling inside this range are those such that -10 <x <-3. The numbers -10 and -3 are not part of the set, as shown by the parentheses.

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complete question:

The tree is 4.2 m long in height.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Francisco is 1.5 meters tall.

Height of Shadow = 3.5 m

Now, Height of shadow of the tree = 9.8 m

let the Height of tree be x.

So, Using Direct proportion

1.5 / 3.5 = x / 9.8

9.8 × 1.5 = 3.5x

14.7 = 3.5x

x= 4.2 m

Hence, the height of the tree is 4.2 m long.

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

To find the focus of the parabola y^2 - 6y - 12x - 15 = 0, we need to first put it in standard form by completing the square:

y^2 - 6y - 12x - 15 = 0

y^2 - 6y + 9 - 9 - 12x - 15 = 0 (adding and subtracting (6/2)^2 = 9 to complete the square)

(y - 3)^2 - 12x - 24 = 0 (simplifying)

(y - 3)^2 = 12(x + 2)

Now we can see that the parabola has its vertex at the point (-2, 3) and its axis of symmetry is parallel to the x-axis. This means that the focus is located at a point on the axis of symmetry that is equidistant from the vertex and the directrix.

The equation of the directrix is y = 3 - p, where p is the distance between the vertex and the directrix. Since the parabola opens to the right, p is negative, and its absolute value is equal to the distance between the vertex and the focus.

To find p, we can use the formula:

4p = |coefficient of x in the standard form equation|

In this case, the coefficient of x is 12, so:

4p = 12

p = 3

Therefore, the equation of the directrix is y = 3 - 3 = 0.

Since the vertex is (-2, 3) and the distance between the vertex and the directrix is 3, the focus is located at a point on the axis of symmetry that is 3 units to the right of the vertex. So the x-coordinate of the focus is:

x = -2 + 3 = 1

To find the y-coordinate of the focus, we can substitute x = 1 into the equation of the parabola:

(y - 3)^2 = 12(x + 2)

(y - 3)^2 = 12(3)

(y - 3)^2 = 36

y - 3 = ±6

y = 3 ± 6

Since the focus must be above the directrix, the y-coordinate of the focus is:

y = 3 + 6 = 9

Therefore, the focus of the parabola y^2 - 6y - 12x - 15 = 0 is located at the point (1, 9).

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20 ft

Explanation

the area of a parallelogram is given by:

then

Step 1

Let

base=unknow length= x

heingth=1 1/4 feet = 1.25 ft

Area= 25 quare ft

now, replace.

therefore, the length of the banner is 20 ft.

I hope this helps you

Answer:

378

Step-by-step explanation:

2,653 divided by 7

Answer:

3/8

Step-by-step explanation:

hope it helps :)

The best statement that represents the OU daily's null hypothesis is OU Sooners = USC Trojans

What is statement ?

A declarative sentence that can only be true or false—neither—is referred to as a statement. A proposition may also be used to refer to a statement. There must be no uncertainty; this is crucial. A sentence can only be true or untrue, not both, in order to be considered a statement.

A meaningful group of words can be used to form a mathematical assertion, which can either be true or untrue. They are simply referred to as a statement. For example, the word "p" could stand for the phrase "ABC is an equilateral triangle." In an equilateral triangle, p thus equals ABC.

OU daily - predicts that,

the OU Sooners will have a better football season than the USC Trojans

The best represents the OU Daily's null hypothesis is,

∴ OU Sooner = USC Trojans

The null and alternative hypothesis is

Null Hypothesis :

OU Sooner = USC Trojans

Alternative Hypothesis : OU Sooner > USC Trojans

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