Find all possible values of the expression 1/a

1/2
__<1/a<__

Answer:

Step-by-step explanation:

Let's illustrate the situation in a diagram to understand.

In a right triangle if the altitude drawn divides the hypotenuse into two segments, then the length of the altitude is the geometric mean of the lengths of the two segments.

Therefore,

a. Using the equation of the relationship, the temperature outdoor would be 67.5 °F.

b. 140 chirps in a minute.

c. 60 chirps at that temperature is expected.

d. The graph for the relationship is given below.

e. 1/4 is the unit rate or slope = in 1/4°F per chirp.

f. 40 represents the starting or initial temperature.

The graph of a linear equation, y = mx + b, will have a slope value of m, and an initial value or y-intercept of b, which is the point on the y-axis that the line intercepts.

Given the equation, f = ¼c + 40, where:

f = temperature in degrees Fahrenheit

c = number of chirps

1/4 represents the temperature in °F per chirp

40 represents the initial temperature

a. Substitute c = 110 into the equation, f = ¼c + 40:

f = ¼(110) + 40

f = 67.5

The outdoor temperature is predicted to be 67.5 °F.

b. Substitute f = 75 into the equation, f = ¼c + 40:

75 = ¼c + 40

75 - 40 = ¼c

35 = 1/4c

4(35) = c

c = 140

140 chirps would be heard in a minute.

c. Substitute f = 55 into the equation, f = ¼c + 40:

55 = ¼c + 40

55 - 40 = ¼c

15 = c/4

4(15) = c

c = 60

Expect to hear 60 chirps at that temperature.

d. The graph for f = ¼c + 40 is in the attachment.

e. 1/4 is the unit rate or slope, which is the temperature in °F per chirp.

f. 40 tells us about the equation of the relationship that the initial temperature where we can start expecting the crickets to chirp starts from 40 °F.

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The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

for the given question.

The parent function is f(x) = x + 1.

The translated function is g(x).

As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.

It mean both Veronica and Drawn are correct.

Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

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The volume of the cube with the shortest possible side lengths is 216 cubic inches.

If a steel sphere with a 3-inch radius is made by removing metal from the corners of a cube that has the shortest possible side lengths, then the side lengths of the cube must be equal to the diameter of the sphere.

side length of cube = diameter of sphere

side length of cube = 2 x radius of sphere

side length of cube = 2 x 3 inches

side length of cube = 6 inches

The volume of the cube can be calculated using the formula below.

V = s³

where V = volume and s = side length of cube

V = (6 inches)³

V = 216 cubic inches

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Answer:

[tex]y+2=\frac{5}{2} (x-6)[/tex]

Step-by-step explanation:

point-slope form: y-y1=m(x-x1)

x1=6

y1=-2

m=5/2

[tex]y+2=\frac{5}{2} (x-6)[/tex]

The age of the radioactive artifact is approximately 19029.6 years old

Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy.

To solve this problem, we have to find the disintegration constant and we can use the formula of half-life of the sample to do that.

The half-life of a sample is given as;

[tex]T_\frac{1}{2}=\frac{ln}{\lambda}\\T_\frac{1}{2} =\frac{ln}{5715} \\ T_\frac{1}{2} = 0.000121\\[/tex]

The formula of radioactivity is given as

[tex]N = N_oe^(^-^\lambda ^t)[/tex]

Substituting the values into the equation

[tex]N = N_oe^(^-^\lambda ^t)\\\frac{N}{N_o} = e^-^(^\lambda ^t)\\0.1 = e^-^(^0^.^0^0^0^1^2^1^*^t^)\\t = 19029.6 years[/tex]

The artifact is approximately 19029.6 years.

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The statement as number expression is given by the total number of points are 55.

What is Mathematical expression?

An expression is a finite combination of symbol and numbers depending on the context

We are given that A person has lost a card game and he is counting the points left in his hand.

His cards were five fours and five sevens

And we have to write this statement as number expression

Now there are five fours that is [tex]5*4=20 points[/tex]

And five sevens that is [tex]5*7=35 points[/tex]

Hence the total number of points are 20+35=55 points.

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A perfect square is a number that is gotten by multiplying it by itself.

An example of a perfect square is 25 and one that is not is 7.

A square number, sometimes known as a perfect square, is an integer that is the square of another integer; in other words, it is the product of another integer and itself. For instance, 9 is a square number since it equals 3² and may be expressed as 3 × 3.

A perfect square is a number that can be written as the product of two integers or as an integer's second exponent. 25 is a perfect square because it is the product of the integer 5 and itself, 5 × 5 = 25. A perfect square is a positive integer formed by multiplying an integer by itself.

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Hence when ΔCDE is translated to ΔC'D'E', the congruency is correct  ΔDCE ≅ ΔD'C'E'

Triangle is a shape with three angles, thus when it is translated downward, it returns to its original form.

Triangle will remain unchanged after translation since the length of the sides and the measure of the angles are not altered.

Translation involves moving the same triangle to a new location while maintaining the triangle's angle and side.

therefore,

CD ≅ C'D'

CE ≅ C'E'

DE ≅ D'E'

Hence, Option (B) is correct answer.

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Given that 2 of the angles are congruent, we can conclude that the others angles are congruent too, because the sum of inner angles of a triangle is equal to 180. So the additional information we need is

And having that we could use AAA criteria. Also we could need AC = DF and use ASA criteria.

You have to convert the following number into a fraction:

This is a periodic decimal number, which explicitely is 0.68888888....

In order to convert this number to a fraction you proceed as follow:

You put 0.68 and not 0.688 because to do the convertion you need only the first periodic number (that is, only the first 8). The key is to put in the numerator the complete number as whole number, that is, 68. To this number you subtract the whole part of the decimal number, this whole part is 0 because of the 0.688. Then, in the numerator you have 68 - 0. In the denominator you write a number composed only by 9's. The number of 9 numbers is determined by the number of digits of the first number in the numerator. That is two 9 numbers

Answer:

1- 80 miles

2- 3 hours

3- 35 mph

4- 180 miles

5- 5 hours

6- 15 mph

Step-by-step explanation:

if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.

a. The change in elevation in feet per minute is 4.2 per feet.

b. If he continues at this rate,then Andy will be -25.2 feet below sea level.

Given Andy starts scuba diving at sea level and then descends 10.5 feet in 2 1/2 minutes.

we need to determine Andy's average change in elevation in feet per minute =?

therefore rate of descent = total descent/total time

time = 2 1/2 minutes = 5/2 minutes.

= -10.5/5/2

= -4.2 feet per minute.

Part B.

If he continues at this rate,the relation to sea level after 6 minutes will be:

= -4.2 × 6

= -25.2

Hence we get the required answers.

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Your question is incomplete. Please find the missing content below.

Andy is scuba diving. He starts at sea level and then descends 10.5 feet in 2 1/2 minutes.

Part A How would you represent Andy's change in elevation? Express your answer as an integer. Enter your answer in the box. feet per minute.

Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet

A. -20.25

B. -25.5

C. -27.3

D. 30.6

Answer:

1.2

Step-by-step explanation:

Answer:8r+7-6r-5Combine the like terms=8r-6r+7-5Thenafter, simplify=2r+2

good luck

Step-by-step explanation:

Answer:

don't forget to give me brainest

star, like.

this is the correct solution.

Answer:

3

Step-by-step explanation:

There are 4.5 diamonds, which represent 9 hours in total.

This corresponds to 9/3 = 3 circles.

Answer:

3 circles

Step-by-step explanation:

For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.

Speed of light = 300,000 km/sec

Rocket's speed = 63,000 km/hr or 6.3 x 10⁴ km/hr

Alpha Centauri distance from Earth = 4.11 x 10¹³ km

One light year (distance) = 9.46 x 10¹² km

To solve for the time it takes it travel, we can manipulate the speed formula.

We already have the distance of Alpha Centauri from Earth written above. We also have the speed of the rocket written above too. We will substitute those values to the formula.

All right angles are congruent which is determined by the definitions of a right angle and congruent angles.

Congruent angles are two or more angles that are identical to each other. As a result, the measurements of these angles are equivalent.

Given that ∠1 and ∠2 are right angles.

By the definition of right angles i.e. right angle is one that is exactly 90 degrees. It is precisely one-quarter of a circle. When a pie is divided into four equal pieces, the tip of each slice forms a straight angle.

⇒ m ∠1 =90° ; m ∠2 = 90°

By the substitution to get

⇒ m ∠1 = m ∠2

Therefore, ∠1 ≅ ∠2

Hence, all right angles are congruent which is determined by the definitions of a right angle and congruent angles.

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(a)

We have five pulse rates randomly selected with a mean of 74.4 beats per minute. We have four pulse rates given. We let x be the value of the fifth pulse rate. We have n equals 5 here since we have sample space of 5. We illustrate the mean of the pulse rates as

Let's solve for the value of x. We have

Hence, the missing value is equal to 86.

Answer: 86

(b) The number of degrees of freedom is calculated using the equation

We already identified that the sample space n is equal to 5. Hence, the degrees of freedom is equal to

Answer: 4

Answer:

2%

Step-by-step explanation:

The fourth option [tex](3^{5)^{2} }[/tex]/[tex](3)^{4}[/tex] does not have value less than 1.

Power of a number is defined as  how many times to use the number in a multiplication. We also call  Powers as Exponents or Indices. For example, [tex]8^{2}[/tex] could be called “8 to the power 2” or “8 to the second power”, or simply “8 squared”.

Step-by-step explanation:

In first option, [tex]4^{11}[/tex]/[tex]4^{14[/tex], if we solve this, the answer comes out to be 1/[tex]4^{3}[/tex] which will be 1/64 which is 0.015 that is lesser than 1.

In second option, [tex](5^{4)^{2} }[/tex]×[tex]5^{-11}[/tex],if we solve this, the answer comes out to be 1/[tex]5^{3}[/tex] which will be 1/125 which is 0.008 that is lesser than 1

In third option,[tex](2^{3)^{-2} }[/tex],if we solve this, the answer comes out to be 1/[tex]2^{6}[/tex] which will be 1/64 which is 0.015 that is lesser than 1

in Fourth option ,[tex](3^{5)^{2} }[/tex]/[tex]3^{4}[/tex] , if solve this, the answer comes out to be [tex]3^{6}[/tex] which  will be 729 that is larger than 1

∴fourth option will be the answer.

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Answer:

1

Step-by-step explanation:

The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line

Hope that helps

The solution for the algebraic expression 2 1/3 - 4/7 is 37/21

Given,

The algebraic expression ; 2 1/3 - 4/7

We have to solve this expression;

First lets solve the mixed fraction 2 1/3

2 1/3 = (2 x 3) + 1 / 3 = 6 + 1 / 3 = 7/3

Mixed fraction;

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Now,

7/3 - 4/7 = (7 x 7) / (3 x 7) - (4 x 3) / (7 x 3) = 49/21 - 12/21

That is,

49/21 - 12/21 = (49 - 12) / 21 = 37/21

That is,

The solution for the algebraic expression 2 1/3 - 4/7 is 37/21

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Answer:

21 cups

Step-by-step explanation:

This question tests on the the concept of Unit Conversion.

Unit Conversions involving converting values into per unit values.

Example: 15 apples in 3 days = (15 ÷ 3) apples per day = 5 apples per day

For this Question, we are given:

5 people per 3 cups of rice.

We are asked to find the number of cups of rice that 35 people can finish.

5 people = 3 cups

(5 ÷ 5) people = (3 ÷ 5) cups

1 person = 0.6 cups

(1 × 35) people = (0.6 × 35) cups

35 people = 21 cups

The inverse of f(x) will be a relation if the original function's graph contains any location where a horizontal line would cross itself twice, but the inverse of that function won't be a function in and of itself.

Does a function's inverse always represent a relationship?

Essentially, obtaining an inverse is only a matter of changing the x and y coordinates. Although it might not always be a function, this newly generated inverse will be a relation. Sometimes a function's inverse isn't actually a function!

The inverse will also be a function if all horizontal lines only ever intersect one place on the original graph.

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Answer:

K=0 N=3 and I=-2

it's

3+-20= -17

Remember the slope-intercept of a line is

where:

• m ,is the slope of the line

• b, is the y-intercept of the line

Now, let's substitute the data we're given. Thereby, the equation would be