Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)

Answer:

a) 53.33 miles per hour

b) 1.7 pages per minute

c)2.25 $ per avocado

Step-by-step explanation:

a) 320/6 = 53.33333

b) 68/40 = 1.7

c) 27 /12 = 2.25

Step-by-step explanation:

2A=h(a+b)

2A=ha+hb

2A-hb=ha

2A-hb/h=a

Answer:

8 - b

Step-by-step explanation:

Answer:

m = -1.92

tan^-1(m) = -1.09 rad

-1.09 is an incorrect value for θ

θ = 2.05 rad

Explanation:

If the terminal point of a ray that starts in the origin has the coordinates (x, y), we can calculate the slope of the ray as:

Therefore, the slope of the terminal ray with terminal point (-1.06, 2.04) is:

Then, using the calculator, we get that the inverse function of the tangent is equal to:

-1.09 rad is a negative number, so it is an incorrect value of θ. This equation calculated the supplement of θ, so the correct value of θ is:

Therefore, the answers are:

m = -1.92

tan^-1(m) = -1.09 rad

-1.09 is an incorrect value for θ

θ = 2.05 rad

Step-by-step explanation:

you need to give us also some context.

because that sequence can be anything.

but I suspect you mean

4 : 5 = x : 480

0.8 = x / 480

x = 480 × 0.8 = 384

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

Answer:

\(\frac{1}{26}\), \(\frac{1}{50}\)

Step-by-step explanation:

If 26x = 1, then 1x = 1/26 (0.03846). The same logic can be applied to the second answer. If 50x = 1, then 50x = 1/50 (0.02).

Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.

we have the expression

(9x+7)+(x+3)

step 1

Group terms

(9x+x)+(7+3)

step 2

Combine like terms

10x+10

the answer is (10x+10)

Answer:

\( \frac{1}{3} \pi( {3.5}^{2} )(11) = 44.9\pi\)

C is the correct answer.

Answer:

960 degrees

Step-by-step explanation:

16pi/3 times 180/pi

16/3 times 180

16 times 60= 960

hope this helps!!

Answer:

168

Step-by-step explanation:

e2020

Answer: M = 5/4

Step-by-step explanation:

Answer:

I think m=5/4

Step-by-step explanation:

Franco's trough drained water faster than Maria's trough.

We have,

To determine whose trough drained faster, we need to compare the rates at which they drained water.

Maria's trough drained 60 gallons in 75 minutes, which can be simplified to:

= 1 gallon per 1.25 minutes

(60 minutes divided by 75 minutes).

Franco's trough drained 75 gallons in an hour and a half, which is equivalent to:

= 1 gallon per 1.2 minutes

(90 minutes divided by 75 minutes).

Now,

Comparing the rates, we can see that Franco's trough drained water at a faster rate (1 gallon per 1.2 minutes) compared to Maria's trough (1 gallon per 1.25 minutes).

Therefore,

Franco's trough drained water faster than Maria's trough.

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Answer:

P = 7

Step-by-step explanation:

\({ \tt{ {2}^{p} = {2}^{2p - 7} }} \\ \)

- From the law of indices; If an index has same base, then the powers are equal.

\({ \boxed{ \rm{ \blue{ ({x}^{a} = {x}^{b}) \rightarrow{ \red{a = b}} }}}}\)

\({ \tt{p = 2p - 7}} \\ { \tt{p -2 p = - 7}} \\ { \tt{p = 7}}\)

OR:

Applying logarithms can also be borrowed;

\({ \tt{ log( {2}^{p} ) = log( {2}^{2p - 7} ) }} \\ \\ { \tt{p log(2) = (2p - 7) log(2) }} \\ \\ { \tt{ \frac{p log(2) }{ log(2) } = \frac{(2p - 7) log(2) }{ log(2) } }} \\ \\ { \tt{p = 2p - 7}} \\ \\ { \tt{p - 2p = - 7}} \\ \\ { \tt{p = 7}}\)

Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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The set of 3 lengths that make a right triangle is {8, 15, 17}

Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.

So if the 3 sides are A, B, and C, such that:

A < B < C

We will have:

A² + B² = C²

Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:

8² + 15² = 17²

289 = 289

That equationis true, thus, these 3 lengths make a right triangle.

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Answer:

Step-by-step explanation:

Given the function 2x³ + 5x² + 4x + 8. In order to evaluate the value of the function at x = -2 we will substitute the value of x given into the function as shown;

F(x) = 2x³ + 5x² + 4x + 8

at x = -2

f(-2) = 2(-2)³ + 5(-2)² + 4(-2) + 8

f(-2) = 2(-8) + 5(4) +(-8) + 8

f(-2) = -16+20-8+8

f(-2) = -16+20

f(-2) = 4

The value of the function when x = -2 is 4

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

9 gummy worms

Step-by-step explanation:

You cannot give a fraction of a gummy worm to someone. Thus, 56/6=9.

And also, this isn’t college math.

Answer:

Non-response bias

Step-by-step explanation:

Selection bias in a survey occurs when individuals are selected in a disproportionate way such that the samples obtained do not represent the true population to be studied or interviewed. An example of a selection bias that can occur from Random-digit dialing is the non-response bias.

Participants who are to be selected for surveys must be eligible or suitable for the purpose of the experiment. If the survey is trying to measure the effect of stress on parents, there is a possibility that through random-digit dialing, homes might be called at times when parents are on a work trip. This inability to get the response of eligible subjects for the survey is a form of selection bias.  

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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The equation of the line in slope-intercept form that connects the centers of the two given circles is y = (7/5)x - (11/5).

The equation of a line in slope-intercept form has the form: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two circles with equations \(x^(2)+y^(2)+4x+8y-10=0, and x^(2)+y^(2)+18x-18y-59=0\), we can calculate the coordinates of the centers of each circle. The first circle has a center at (2, -4) and the second circle has a center at (-3, 3). We can then use the two points to calculate the slope of the line connecting their centers.

The slope m can be calculated with the formula \(m = (y2 - y1) / (x2 - x1)\). We can plug in the coordinates of the centers to calculate the slope:\(m = (3 - (-4)) / (-3 - 2) = 7/5.\)

We can now calculate the y-intercept b of the line. We can use the point-slope form of a line: y - y1 = m(x - x1). We can plug in the coordinates of one of the points and the slope to calculate the y-intercept: -4 - 7/5(2) = -11/5.

Therefore, the equation of the line in slope-intercept form that connects the centers of the two given circles is y = (7/5)x - (11/5).

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Answer:

  g(x) = (1/6)(x +7)^2 -8

Step-by-step explanation:

The transformation ...

  g(x) = a·f(x -h) +k

represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...

  g(x) = (1/6)(x +7)^2 -8

The two combinations that shows that the landscapers work hours and total work fee are proportional are: 3 hours for $105 and 7.5 hours for $262.50(option A and F)

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol.

Direct proportion is given by y= kx, where k is the constant and y and x are the variables.

If x represents the landscapers work hours and y represents the total work fee.

y= kx

when y = $140 and x= 4hours

k= 140/4= 35

therefore when x= 3 then y= 3×35=105

similarly when x= 7.5, y= 35×7.5=262.50

Only option A and F obeys the proportional relationship.

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Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)