how many numbers have the ablosute value of 4/5

Answer:

\( CD \approx5.29\)

Step-by-step explanation:

By geometric mean theorem:

\(CD=\sqrt {AD\times BD} \\ \\ CD=\sqrt {7\times 4} \\ \\ CD=\sqrt {28} \\ \\ CD=5.29150262 \\ \\ CD \approx5.29\)

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. We are given that the line passes through the point (0,9) and has a slope of -3, so we can substitute these values into the equation to find the y-intercept:

y = mx + b

9 = (-3)(0) + b

b = 9

Now we know that the y-intercept is 9, so we can write the equation of the line:

y = -3x + 9

Therefore, the equation of the graph that passes through (0,9) and has a slope of -3 is y = -3x + 9.

Hope this helps <3

Please give me Brainliest :)

Solution:

1)Distance covered by cyclist=3.75 miles.

Time =0.3 hours.

Speed= Distance ÷Time

Speed =3.75÷0.3=12.5 miles per hour.

2) Speed = 12.5 miles per hour, Distance = 4.5 miles .

Time = Distance ÷Speed.

Time = 4.5÷12.5=0.36 hours.

Time taken to cover 4.5 miles is 0.36 hours.

Answer:

The answer is 1.35.

Step-by-step explanation:

first one is easy money

right angle = 90, and we also have 42 so:

90+42=132

180-132=48

2nd one is weird, why is there a 150 down there? triangles add up to 180 nso right angle already gets 90 degrees.--oh wait I just got it, so that is the angle of the outer. we know a line is 180 degrees, so 180-150=30 so we found that degree

So now 90+30=120, 180-120=60

Expanding the matrix multiplication, we have k + 1 + 0 = 0, k + 2 = 2, 3 = -3, and k + 5 = 0. However, the equation 3 = -3 has no solution.

Let's calculate the matrix multiplication on the left-hand side of the equation. Expanding the multiplication, we obtain:

[k + 1 + 0] [k + 0 + 2] [1] = [0 2 -3]

[1 + 0 + 2] [k + 1 + 4] [1]

Simplifying, we have:

[k + 1] [k + 2] [1] = [0 2 -3]

[3] [k + 5] [1]

To determine if there are values of k that satisfy the equation, we compare the corresponding entries on both sides. From the first row, we have k + 1 = 0 and k + 2 = 2. Solving these equations gives k = -1 and k = 0, respectively.

However, when we consider the second row, we have 3 = -3, which has no solution. Therefore, there are no values of k that satisfy the given equation. This means that the equation [1 1 0] [k] [k 1 1] [1 0 2] [1] = 0 [0 2 -3] [1] has no solution.

Learn more about Equation : brainly.com/question/28243079

#SPJ11

Answer:

Q1. Volume of the prism

= 75(20)(14) cm3

=21000 cm3

Volume of the cylinder

= π(75^2)(120)cm3

=2120575cm3 (cor. to nearest int.)

The cylindrical bale has a greater volume.

Q3a. Volume of the pyramid

=(1/3)(40)(64)(64)m3

=54613 m3 (cor. to nearest int.)

Q3b. Volume of air per person

=(1/3)(40)(64)(64)(1/5000) m3

=10.9 m3 (cor to 3 sig fig)

Answer:

3.6 and 2

Step-by-step explanation:

Given R is inversely proportional to A then the equation relating them is

R = \(\frac{k}{A}\) ← k is the constant of proportion

To find k use the condition R = 12 when A = 1.5, that is

12 = \(\frac{k}{1.5}\) ( multiply both sides by 1.5 )

18 = k

R = \(\frac{18}{A}\) ← equation of proportion

(a)

when A = 5, then

R = \(\frac{18}{5}\) = 3.6

(b)

when R = 9, then

9 = \(\frac{18}{A}\) ( multiply both sides by A )

9A = 18 ( divide both sides by 9 )

A = 2

Answer:

John is growing at a faster rate.

Step-by-step explanation:

John grew 6 inches in 2 years, while Dave grew 7 inches in 4 years. We can expect John to grow another 3 inches by 2011, making John 49 inches tall in 2011. We can expect Dave to grow about another 7 inches by 2011, since another 4 years has passed. This seems reasonable enough...

The statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.

This principle is known as the exclusive disjunction, which means that the truth value of p v q is only true if either p or q is true, but not both.

In other words, if both p and q are true, then the statement p v q is still considered true because only one of them needs to be true for the whole statement to be true. This concept is essential in the study of logic as it helps to clarify the relationship between different statements and propositions.

Furthermore, this principle is often used in mathematics, computer science, and other fields that rely heavily on logical reasoning. It enables us to make accurate predictions and draw valid conclusions from a set of given premises or statements.

In conclusion, the exclusive disjunction is a crucial concept in the study of logic that helps us understand the truth value of compound claims. Therefore, the statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.

In the study of logic, the statement "p ∨ q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim p ∨ q is, as a whole claim, true" is actually false. This is because the given description refers to the "inclusive" sense of the disjunction (OR) operator, rather than the exclusive sense.

In logic, there are two types of disjunctions: inclusive and exclusive. The inclusive disjunction, represented by p ∨ q, is true when at least one of p or q is true. This means that if both p and q are true, the compound claim p ∨ q is also true, which matches the given description in the question.

On the other hand, the exclusive disjunction, represented by p ⊕ q or p XOR q, is true only when either p or q is true, but not when both are true. If p and q are both true, then the compound claim p ⊕ q is false.

So, the statement in the question actually describes the inclusive disjunction, not the exclusive disjunction, and is therefore false.

Learn more about disjunction at: brainly.com/question/30509648

#SPJ11

5 samples will not contain the value of the confidence interval of the unknown parameter. The rest will have the confidence interval.

x% confidence interval implies that the mean of x% is in the interval, also x% in the sample space will have the value of unknown parameter.

Here 95% of confidence interval is present and the sample space is 100. So,    100%- 95% = 5%. Thus only 5% of the sample space will not contain the confidence level of the unknown parameter.

5% of 100 = \(\frac{5}{100}\) ×  \(100\)  = 0.5 × 100 = 5

To know more about confidence interval one may refer to

https://brainly.com/question/29680703

#SPJ4

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

Learn more about rate: https://brainly.com/question/24304697

#SPJ1

Answer:

Step-by-step explanation:

3x - 42 = 2x + 9

x - 42 = 9

x = 51

Answer:

the total cost of the brackets before tax is $89.7

Step-by-step explanation:

The computation of the total cost of the bracket before tax is as follows

Given that

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

The distance of brackets from ends is 1 foot

The maximum distance between brackets is 24 inches

Now based on the above information

The brackets are

= 48 ÷ 12

= 4 feet

And

= 60 ÷ 12

= 5 feet

The length of the shelf is  60 inch

Now the 1 could be deducted from each side

= 60 - 2

= 58 in

Now Divide it by 24 inches

= 58 ÷ 24

= 2.41 ~ 3  

Finally, The total cost is

= ($12.95 + $16.95) × 3

= $89.7

Hence, the total cost of the brackets before tax is $89.7

Answer:

12 inches = 1 foot

Step-by-step explanation:

Really?

16 is a perfect square

16 = 2 × 2 × 2 × 2

16 = (2 × 2) × (2 × 2)

16 = 4 × 4

Perfect squares numbers whose squares are whole numbers. Square root of 16 gives 4.

Hence, 16 is a perfect square

Answer:

1/10 or 10/100

Step-by-step explanation:

The numbers are 7227 and 4.

Answer:

- ⅓

Step-by-step explanation:

p + q = p - ⅓

q = (p - p) - ⅓

q = - ⅓

The lack of calcium lines indicates that the star's outer atmosphere is not dense enough to produce observable absorption lines.

Calcium lines are dark absorption lines in the spectrum of a star or other astronomical object that are produced by the absorption of specific wavelengths of light by calcium atoms in the object's outer atmosphere.

If a star lacks calcium lines in its spectrum, it is likely to be a relatively young and hot star, with a surface temperature above about 7,000 K. This is because the calcium lines that are typically observed in the spectra of cooler stars are formed in the star's outer atmosphere, which is cooler and more diffuse than the layers closer to the star's core.

The absence of calcium lines in the spectrum of a star suggests that its outer atmosphere is relatively thin or transparent, and that the star's light is not passing through enough calcium-rich material to produce observable absorption lines.

Learn more about calcium lines on:

https://brainly.com/question/29350087

#SPJ1

Answer:

She must score 90 points

Step-by-step explanation:

Find the average of the first 2 tests

76 + 80 = 156

Divide the sum of the first 2 tests by how many tests there were

156 ÷ 2 = 78

Multiply 82 by 3

82 x 3 = 246

Subtract 156 from 246

246 - 156 = 90

Add all the numbers together to get the average

90 + 80 + 76 = 246

246 ÷ 3 = 82

Hope this helps!

Answer:

5/6 is the greatest, it is closer to a whole number

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

1/2 is only half

2/3 is very close

1/4 is not close at all

5/6 is the best answer

Answer:

Step-by-step expThe answer would be 18 because 36÷2 is 18.

a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

Learn more about the probability here:

https://brainly.com/question/15124899

#SPJ4

The choice which describes a sequence of transformations in which the blue figure is the image of the red figure is: 4. Rotate the triangle 90º clockwise about the origin and then translate it 1 unit left and 7 units down.

In Mathematics, the rotation of a geometric figure 90° about the origin in a clockwise or counterclockwise direction would produce a geometric figure that has these coordinates (y, -x).

From the information provided in the graph about the transformation applied to the red triangle to create the blue triangle, we have the following ordered pairs that represents a rotation of 90º clockwise:

(x, y)                                    →              (y, -x)

Ordered pair A = (-5, 2)            Ordered pair A' = (2, 5)

Ordered pair B = (-5, 6)             Ordered pair B' = (6, 5)

Ordered pair C = (-1, 2)             Ordered pair C' = (2, 1)

After a translation of 1 unit left and 7 units down, we have:

Ordered pair A' = (2, 5)       →     Ordered pair A' = (2 - 1, 5 - 7) = (-1, -2)

Ordered pair B' = (6, 5)       →     Ordered pair B' = (6 - 1, 5 - 7) = (.5, -2)

Ordered pair C' = (2, 1)        →     Ordered pair C' = (2 - 1, 1 - 7) = (-1, -6)

Read more on rotation here: brainly.com/question/28515054

#SPJ1

The given equation is y = 4^(x2–2x+5).To find the tangent line to the curve at x = 4, differentiate the given function with respect to x and find the slope of the tangent at x = 4.

Given function is y = 4^(x2–2x+5). In order to find the equation of the tangent line to the curve at x = 4, we need to differentiate the given function with respect to x and find the slope of the tangent at x = 4. Then we use the point-slope form of the equation to find the equation of the tangent line.The process of finding the equation of the tangent line to the curve is by first differentiating the given function.

We differentiate the given function as follows:d/dx(y) = d/dx[4^(x2–2x+5)] => d/dx(y) = 4^(x2–2x+5) * d/dx[x2–2x+5]

=> d/dx(y) = 4^(x2–2x+5) * [2x - 2]When x = 4,d/dx(y) = 4^(42–2*4+5) * [2*4 - 2]

=> d/dx(y) = 4^(5) * [6]

=> d/dx(y) = 6 * 1024

The slope of the tangent at x = 4 is: m = 6 * 1024

The point is: (4, y)We substitute the values in the point-slope form of the equation of the line:y - y1 = m(x - x1)

=> y - y1 = m(x - 4)

=> y - y1 = 6 * 1024 (x - 4)

Where x1 = 4, y1 = 4^(42–2*4+5)

=> y1 = 4^(5)

=> y1 = 1024

Therefore, the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

Therefore, we can conclude that the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

To know more about equation visit:

brainly.com/question/2289306

#SPJ11

Answer:

x=-4

Step-by-step explanation:

-3x+7=19

minus 7 from both sides

-3x=12

x=-4

The undefined term of the ray is line.

Undefined terms are those that are difficult to define. There isn't exactly a definition for such phrases. Think about the word "the." Although we frequently use the term "the," do we actually understand what it means? Another word that is difficult to define is "am." Although we can explain these phrases, we are unable to offer a definition. There are certain words in geometry that are more difficult to define.

A ray is a line that terminates at a single point in geometry and continues endlessly in the opposite direction.

We can understand why a ray is a defined concept since we can describe it using the geometric terms "line" and "point."

Ray: A ray is similar to a line, except that the line extends in just one direction to infinity, with a line segment on the opposite side.

The endpoint of a line is its terminus.

Two rays that originate at the same endpoint and move in opposition to one another are said to be opposing rays.

Therefore, arrow sided line is undefined in terms of ray.

To learn more about the undefined terms;

https://brainly.com/question/10969140

#SPJ1

There are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$. For a number to end in the digit $3$ in base-$b$ representation, it must be congruent to $3$ modulo $b$.

We can rewrite $2013$ as $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$. Now, if $2013$ is congruent to $3$ modulo $b$, it means that $2 \cdot 10^3 + 0 \cdot 10^2 + 1 \cdot 10^1 + 3 \cdot 10^0$ is also congruent to $3$ modulo $b$.

Simplifying the expression, we have $2000 + 0 + 10 + 3$. Since the base-$b$-representation is formed by multiplying each digit by the corresponding power of $b$, we can rewrite the expression as $2 \cdot b^3 + 1 \cdot b^1 + 3 \cdot b^0$. We can now observe that the constant term $3 \cdot b^0$ will always be congruent to $3$ modulo $b$. However, the other terms $2 \cdot b^3$ and $1 \cdot b^1$ will not be congruent to $3$ modulo $b$ for any positive value of $b$. Therefore, the base-$b$-representation of $2013$ cannot end in the digit $3$ for any value of $b$.

Hence, there are no values of $b$ for which the base-$b$-representation of $2013$ ends in the digit $3$.

Learn more about congruent here:
brainly.com/question/33002682

#SPJ11

We can see that the coefficients of the expanded expression match the terms of the 5th row of Pascal's triangle.

To evaluate the given expression, we need to use Pascal's triangle to expand the expression (b+c)^4. The coefficients of the expanded expression will be the terms of the 5th row of Pascal's triangle.

Using the formula for the coefficients of the expanded expression, we get:

4(b)(c)^3 + 6(b)^2(c)^2 + 4(b)^3(c) + (b)^4

Comparing this expression to the 5th row of Pascal's triangle, we see that the coefficients are:

1 4 6 4 1

We can rearrange the terms to match the expanded expression:

(b)^4 + 4(b)^3(c) + 6(b)^2(c)^2 + 4(b)(c)^3 + (c)^4

Know more about Pascal's triangle here:

https://brainly.com/question/26134164

#SPJ11