If x = 71, could the triangles be similar? Explain why or why not.

Answer:

r=4

Step-by-step explanation:

The radius is equal to half of the diameter. The diameter in this problem is 8 units; half of 8 is 4.

Answer:

The radius would be 4.

Step-by-step explanation:

The radius is always half of the diameter, which would be all the way around the circle. The radius would be halfway around the circle.

So looking at the graph, we can see that the circle surrounds the origin (0) 4 spots to the left and 4 spots to the right. This represents the diameter which is 8 and this can be found by adding the two directions (4 + 4) which gets you 8 as a sum. Now knowing this, we simply divide 8 by 2 and we get the radius which is 4.

Therefore, the answer is 4.

The given statement a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes.is false.

What is a stiff equation

While integrating a differential equation numerically, one would expect the requisite step size to be relatively small in a region where the solution curve displays much variation and to be relatively large where the solution curve straightens out to approach a line with slope approaching to be zero. This is not always true in all the cases. In some cases in order for a numerical method to give a reliable solution to the differential system sometimes the step size is required to be at an very small level in a region where the solution curve is too smooth. The phenomenon is known as stiffness.

So, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small.

Therefore, the given statement a stiff equation is a differential equation where some numerical solution approaches are numerically stable unless you use extremely small step sizes. is false.

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The equation in slope-intercept form that represents the situation is y = 7x - 598

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

The ordered pair are ( 98, 88) and (107, 151)

Equation of line in slope-intercept form is y = mx + c

at x = 98, y =88

so that by substituting we have,

88 = 98m + c -------------------1

at x = 107, y = 151 and by substituting we have

151 = 107m + c -----------------2

subtract equation 1 from 2

63 = 9m

m = 63/9

m = 7

substitute m = 7 in equation 1

88 = 98(7) + c

c = 88 - 686c

c = -598

substitute m and c for their values equation becomes

y = 7x - 598

In conclusion, the equation in slope-intercept form is y = 7x - 598

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If a farmer has 50 dibbles then the number of toys would be 84.

What are ratio and proportion?

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio could be written as 1: 3. (for every one boy there are 3 girls) One-quarter are boys, and three-quarters are girls.

For every 10 toys, there are 6 dibbles.

so for 50 dibble there will be =  10 * 50/6

                                             = 500/6

                                             = 83.33

                                             ≈ 84 toys

Hence, if a farmer has 50 dibbles then the number of toys would be 84.

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Answer:

2 km

Step-by-step explanation:

Answer:

Step-by-step explanation:

If it is not possible to draw a vertical line to touch the graph of a function in more than one place, then y is a function of x. For Example: Use the vertical line test to determine if the graph depicts y is a function of x.

Answer:

to post questions.

Step-by-step explanation:

Shuttles A and B leave the station together for the second time in 40 minutes.

The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers

Given that, the two trains leave the station at the same time, but shuttle A returns every 8 minutes while shuttle B returns every 10 minutes.

To find the time when both trains will leave the station together for the second time, find the LCM of 8 and 10.

The LCM of 8 and 10 is 40.

Hence, Shuttles A and B leave the station together for the second time in 40 minutes.

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Answer:

I'm not sure if this is what you want to be solved.

Graphs having an equation in the form y = kx, is an example of direct variation.

The graph that represents a function with a direct variation is (b)

For a graph to represent a function with direct variation, the following must be true

The function must be a linear function

The slope of the function must not be 0 or undefined

The function must pass through the origin

The only graph that satisfies the three highlights above is graph (b)

Hence, the graph that represents a function with a direct variation is (b)

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Return values are type-specific in php functions The answer is False.

What is php function?

A PHP function is a piece of code that is very reusable. It can accept an argument list as input and return a value. Inbuilt functions in PHP number in the thousands.

You can develop your own functions in addition to the built-in PHP functions.

A function is a collection of statements that a programme can use repeatedly.

When a page loads, a function won't start running immediately.

A call to a function will cause the function to run.

In this a function only returns a value of a specified data type.

Hence, the given statement return values are type-specific in php functions is FALSE

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The number line which represents the solution set for the inequality is second one.

What is number line?

In elementary mathematics, a number line may be a image of a graduated line that is visual illustration of the important numbers. each purpose of variety|variety} line is assumed to correspond to a true number, and each real to a degree.

Main body:

Start by solving for x.

-1/2x ≥ 4

Multiply each side by 2

-1x ≥ 8

then divide by -1....

but remember to flip your sign its a negative number.

x ≤ -8

hence, the second one is correct.

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Functions of the form  f(x)=kx represents direct variation.

The table of values that appears a constant proportion between two variables speaks to a direct variation function.

A direct variation is an equation in the form y = kx, where k is the constant of variation.  Since it is in this form, the equation will pass through the origin (0, 0); this is because if we use 0 as x, y = k(0) = 0.

In the event that there's at slightest one pair of values that features a different proportion, at that point the function isn't a direct proportion.  the equation applies to each corresponding value between the two variables. Functions of form f(x)=kx, where k is the constant, are as they were functions that can speak to a direct variation. T

Therefore, A direct variation is an equation in the form y = kx, where k is the constant of variation.  Since it is in this form, the equation will pass through the origin (0, 0); this is because if we use 0 as x, y = k(0) = 0.

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Let S be and show is a sphere of radius R centered at the arigin. We will compare the flux that it does not depends on R. Parametic equation of sphare Y(4,0)= Rsind caso + Rsind sine j + R Cord F

and 014≤ 640 ≤ 2TT outward normal is

(r = 18) = √x² + y²+z2)

= F = ૪ 3

flux = [[Finds

. Rsing dodo = 83

(from put value of n

13 sind do do 23

2 TT, TT sing do do

R 11 R [["e. / sind dado (r= 171 = radius of ephare)

Π 2T ए [e" [" sind do do= ["- Casp" "do 0

[-(-1-1) do 2TT = 2x (2-0) 2 = do flux

flux = [[F·ñ-ds S = 4π

The flux is 411 and it depends on radius 'R'

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In the exponential decrease function, the rate of decline is approximately 17.7%

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828. An exponential curve grows, or decay depends on the exponential function. Any quantity that grows or decays by a fixed per cent at regular intervals should possess either exponential growth or exponential decay.

In this problem, we can write an exponential function as

58000 = 1763000(1 + x)⁻²¹

Solving for x

x = 0.1765

Converting this into percentage;

x = 0.1765 * 100 = 17.7%

The rate is 17.7%

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Option-A is correct that is reality monitoring. One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as reality monitoring.

Given that,

One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as----

We have to fill the blank.

We know that

sensory environment The auditory system adjusts to continuing, presumably irrelevant regularities in the acoustic environment in order to improve reactions to unexpected and possibly significant sounds, according to a prevalent theory in studies of sensory context.

We get,

The capacity to discern internally created information from external reality is known as reality monitoring.

Therefore, Option-A is correct that is reality monitoring. One can determine whether or not something happened with the use of context and sensory evidence. This is referred to as reality monitoring.

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The area of sector q is [tex]\frac{\pi n^{2} }{9}[/tex]

A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The circle is divided into 9 equal parts meaning that 1/9 the area of the circle is the area of circle q

Area of circle = [tex]\pi r^{2}[/tex]

Area of sector q = [tex]\frac{\pi r^{2} }{9}[/tex]

but r = n

Area of sector q = [tex]\frac{\pi n^{2} }{9}[/tex]

In conclusion, the area of sector q is [tex]\frac{\pi n^{2} }{9}[/tex]

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Answer: I don't know

Step-by-step explanation:

You got this pal!

The photographing of Jessica as depicted shows adjacent angles and the angle she tilt the camera from its first position to its second position is 29 degrees

When two angles have a similar vertex and side, they are referred to as adjacent angles.

The vertex of an angle is the point at which the rays that make up its sides come to an end. Adjacent angles have same vertex and side, they can be a complimentary angle or supplemental angle but in this case the sum is 63 degrees. This is to say that

? + 34 = 63

? = 63 - 34

? = 29

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The two cuts that are being roasted for each time-temperature combination are an example of replication.

Given,

In the question:

The best time-temperature combination for roasting a five-pound cut of lamb. the times to be tested are 45 minutes, 60 minutes, and 90 minutes at temperatures of 350 degrees Fahrenheit and 425 degrees Fahrenheit for each time, with the exception of the 90 minute - 425 degree combination.

Now, According to the question:

In the question it is given that  From 10 identical cuts of lamb, 2 are randomly selected to roast using each of the time-temperature combinations in the same oven. Here it is an act of copying the exact shape size of the lamb in all cuts, which is nothing but replication. Moreover, this replication can help in proper comparison.

which of the following is true?

Hence, The two cuts that are being roasted for each time-temperature combination are an example of replication.

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Answer:

768

Step-by-step explanation:

Define the variable:

Given information:

Create an equation with the defined variable and the given information:

[tex]\implies x - \dfrac{1}{3}x-320=\dfrac{1}{4}x[/tex]

Solve for x:

[tex]\implies \dfrac{2}{3}x-320=\dfrac{1}{4}x[/tex]

[tex]\implies \dfrac{2}{3}x-320-\dfrac{1}{4}x=\dfrac{1}{4}x-\dfrac{1}{4}x[/tex]

[tex]\implies \dfrac{5}{12}x-320=0[/tex]

[tex]\implies \dfrac{5}{12}x-320+320=0+320[/tex]

[tex]\implies \dfrac{5}{12}x=320[/tex]

[tex]\implies 12 \cdot \dfrac{5}{12}x= 12 \cdot 320[/tex]

[tex]\implies 5x=3840[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{3840}{5}[/tex]

[tex]\implies x=768[/tex]

Therefore, Mr Cho received 768 eggs in the beginning.

Total eggs be x

Form a equation

0.1587  is eprcentage of compact obtains 30 or more miles per gallon by standard deviation.

What is standard deviation?

Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean.

                               A low standard deviation means that values are clustered close to the mean, whereas a high standard deviation means that values are typically far from the mean.

P(X> 30 )

Normal distribution

μ = 25.5

σ = 4.5

P(X > 30 ) = Area to the right of 30

we convert this to standard normal using z = x - μ/σ

 z = 30 - ( 25.5 )/45  = 1.00

P(Z > 1.00 ) = Area to the right of 1.00

P( X > 30) = P( Z > 100) = 1 - P( Z < 1.00 ) = 1 - 0.8413

                = 0.1587

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Answer:

5R + 5C = 1000

1R + 2C = 275

(1R + 2C = 275) x 5 = 5R + 10C = 1375

(5R + 10C = 1375) - (5R + 5C = 1000) = 5C =375

CRAYON = 75p

RUBBER = 125p

Answer:

6 : 7

Step-by-step explanation:

the ratio of

boys : girls

= 96 : 112 ( divide both parts by 16 )

= 6 : 7

The classification of the equations as direct or indirect variations are;

1) Direct Variation

2) Direct Variation

3) Indirect Variation

4) Indirect Variation

Direct variation occurs when one quantity changes and the other quantity changes as well in direct proportion. Meanwhile, Inverse variation is exactly opposite of that.

Now, let us answer the questions;

1) y = 4x + 1

This shows that y is directly proportional to x because as x is increasing, y is increasing and vice versa. Thus, it is a direct variation.

2) y = 7.5x

This shows that y is directly proportional to x because as x is increasing, y is increasing and vice versa. Thus, it is a direct variation.

3) y = (1/15)x

This shows that y is inversely proportional to x because as x is increasing, y is decreasing and vice versa. Thus, it is an indirect variation.

4) y = 6/x

This shows that y is inversely proportional to x because as x is increasing, y is decreasing and vice versa. Thus, it is an indirect variation.

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0.0027 is the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression.

Given that,

In 16 male college students, the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression. This research produced the regression equation shown below: y= -0.0127 + 0.0180x Suppose a blood alcohol level of 0.08 is required to legally operate a vehicle.

We know that,

When five bears d, use x=5 to calculate the blood alcohol concentration.

y= -0.0127+0.0180*5=0.0773

So, his alcohol level is 0.0773 . this is clearly below legal level of 0.08

Then difference between his level and legal level= 0.08-0.0773= 0.0027

So, correct answer is

0.0027 below the legal limit

Therefore, 0.0027 is the association between the quantity of beers d (x) and blood alcohol concentration (y) was investigated using least squares regression.

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The linear equation on the given graph can be written as:

y = (-1/4)*x - 6

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the line intercepts the y-axis at y = -6, then the value of b is -6, so we can write:

y = a*x - 6

To find the value of the slope we can use another point on the graph, we can see that the line passes through (-8, -4)

Replacing these values we get:

-4 = a*-8 - 6

-4 + 6 = -8a

2/-8 = a

-1/4 = a

The linear equation is:

y = (-1/4)*x - 6

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Answer:

In 48 hours the ice cream factory can make 1,680 quarts.

Step-by-step explanation:

Multiply UNIT RATE 35 by 48 to answer your first question.

The recursive formula for the given sequence is, [tex]a_n=a_n_-_1+1[/tex].

What is recursive formula?

Any term of a series can be defined by its preceding term in a recursive formula (s). For instance: An arithmetic series has the recursive formula

[tex]a_n=a_n_-_1+d[/tex]. [tex]a_n=a_n_-_1r[/tex] is the recursive formula for a geometric sequence.

Consider the given sequence,

8, 9, 10, 11, 12, ...

Here each next term is defined by it's preceding term by adding 1 in each preceding term.

That is,

9 = 8 +1

10 = 9 + 1

11 = 10 + 1

12 = 11 + 1

Hence, the recursive formula for the sequence is, [tex]a_n=a_n_-_1 + 1[/tex].

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