The height of a golf ball hit in the air is modeled by the equation ℎ()=−162 + 48, where ℎ() represents
the height, in feet, and represents the number of seconds that have passed since the ball was hit.
Complete the statement about the function for ℎ(2)=32
If ℎ(2)=32 , then the ball reached a height of _________ feet after _________ seconds.

Answer:

[-3 1/4] is greater than [-4]

Step-by-step explanation:

When doing negative numbers greater or less than problems, you always want to look for the smallest negative. This is because the smaller a negative is, the greater it is that a bigger negative number

Answer:

40

Step-by-step explanation:

5-2(3+9)+4

5-2(12)+4

3(12)+4

36+4

40

When you distribute, you independently multiply each term inside the parentheses by the term outside the parentheses.

So

6 x 7 = 42

and

6 x -4n = -24n

So the final answer is: 42 - 24n

*You cannot combine this answer any further since you are subtracting an unknown variable (n) from a number.

Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).

Let x be the inverse. Then x is such that

23x ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for x :

1000 = 43×23 + 11

23 = 2×11 + 1

→   1 ≡ 23 - 2×11   (mod 1000)

→   1 ≡ 23 - 2×(1000 - 43×23)   (mod 1000)

→   1 ≡ 23 - 2×1000 + 86×23   (mod 1000)

→   1 ≡ 87×23 - 2×1000 ≡ 87×23   (mod 1000)

→   23⁻¹ ≡ 87   (mod 1000)

Answer:

The area of the circle is 2122.6 mm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

\(a = \text{area}\)

\(r = \text{radius} = 26 \ \text{mm}\)

\(\pi = 3.14\)

\(a = \pi \times \text{r}^2\)

we replace with the known values

\(a = 3.14 \times (26 \ \text{mm})^2\)

\(a = 3.14 \times676 \ \text{mm}^2\)

\(a = 2122.64 \ \text{mm}^2\)

Round to the nearest tenth

\(a = 2122.64 \ \text{mm}^2 = 2122.6 \ \text{mm}^2\)  

The area of the circle is 2122.6 mm²

Answer:

1.46

Step-by-step explanation:

Answer:

Step-by-step explanation:for the triangle GIF, angle g = 80

angle f = 42 since angle FBA = 138

so angle i = 180 - 42 - 80

                 = 58

Answer:

16

Step-by-step explanation:

I don't know  how to explain but it is 16

Answer:

Since the Width (W) of the rectangle is not given, the answer would be Length (L) = 240/W

Step-by-step explanation:

A = L*W

240 = L*W

240/W = L

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Hey there!

2^30+2^29+2^28 / 2^31+2^30+2^29

= 1,073,741,824 + 536,870,912 + 268,435,456 / 2,147,483,648 + 1,073,741,824 + 536,870,912

= 1,610,612,736 + 268,435,456 / 3,221,225,472 + 536,870,912

= 1,879,048,192 / 3,758,096,384

= 1 / 2

≈ 0.50

Therefore, your answer is: 1/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

We are given with a fraction which has a lot of power raised , but their is a way to do it fastly . Consider the given first ;

\({:\implies \quad \sf \dfrac{2^{30}+2^{29}+2^{28}}{2^{31}+2^{30}+2^{29}}}\)

Now , here , if we calculate 2³⁰ and the other stuff and then plus and then divide by the stuff in denominator , it will be very long .But here the interesting thing is that , we can see here 28 is the smallest in all powers in both numerator and denominator , but their isn't any 28 raised to 2 in denominator but their is 29 raised to 2 . So , we can take 2 raised to 28 common and then we can cancel it and then it will be very easy for us to calculate it . So , let's proceed

\({:\implies \quad \sf \dfrac{2^{28}(2^{2}+2^{1}+1)}{2^{28}(2^{3}+2^{2}+2^{1})}}\)

\({:\implies \quad \sf \dfrac{\cancel{2^{28}}(2^{2}+2+1)}{\cancel{2^{28}}(2^{3}+2^{2}+2)}}\)

\({:\implies \quad \sf \dfrac{2^{2}+2+1}{2^{3}+2^{2}+2}}\)

\({:\implies \quad \sf \dfrac{4+2+1}{8+4+2}}\)

\({:\implies \quad \sf \dfrac{7}{14}=\dfrac12}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{\dfrac{2^{30}+2^{29}+2^{28}}{2^{31}+2^{30}+2^{29}}=\dfrac12}}}\)

Hence , The required answer is ½

Answer:

263.76in^2

Step-by-step explanation:

210/360*3.14*12*12

7*3.14*12

263.76

Answer:

1. 5x = 10

5x-1 = 9

2. 5x = 50

5x-1 = 49

3. 5x = 60

5x-1 = 59

4. x = 5

5x-1 = 24

5. x = 7

5x = 35

6. x = 20

5x = 100

Step-by-step explanation:

substitution x in each one

for example

x = 2

5x = 5×2 (×2 because x = 2)

so, 5x = 10

about question number 4

5x=25

x = 25÷5 (change side change mark)

x = 5

questions that I don't show you how to think

let's get it by yourself

change side change mark. it's mean

if in equation is plus change to minus

if in equation is minus change to plus

if in equation is divided by change to multiply

if in equation is multiply change to divide by

hope it helps you ☺️

Answer:

You need to look at the value of x which is already given and insert it into the other values

Step-by-step explanation:

fore example

                                        if x=2                  

then        5x                                       5x-1

              5(2)                                     5(2)-1

            = 10                                       10-1

                                                          =9                                                          

(you put the value of x where x is supposed to be, since x was 2 I replace it with 2 and got the answer).

where we have value of 5x which is 25 we will substitute to get value of x.

5x= 25

x= 25/5

x= 5

Now we have the value of x

Where we have the last value we will substitute it like

5x-1= 34

5x= 34+1

5x= 35

x= 35/5

x= 7

Now we have value of x

The scale factor of the perimeters from figure A to figure B is 1.5. Scale factor is the ratio of any two corresponding lengths in two similar figures.

Here, the two figures are similar, that is why we can find the scale factor by dividing corresponding sides of one figure by the corresponding sides of another figure. We will find the scale factor for the perimeter of figures A and B below:Perimeter of figure A = 12 + 10 + 18 = 40 unitsPerimeter of figure B = 15 + 15 + 15 = 45 unitsTo find the scale factor of the perimeters, we divide the perimeter of figure B by the perimeter of figure

A:Scale factor of the perimeters = (Perimeter of figure B)/(Perimeter of figure A) = 45/40 = 1.125To simplify any fractional answer, we have to convert it to the lowest terms, which is 9/8. The decimal answer 1.125, when rounded to the nearest tenth is 1.1. Therefore, the scale factor of the perimeters from figure A to figure B is 1.5.

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Answer:

y = - \(\frac{1}{3}\) x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 3 ← is in slope- intercept form

with slope m = 3

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) , then

y = - \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 6, 9 ) into the partial equation

9 = - \(\frac{1}{3}\) (-6) + c = 2 + c ( subtract 2 from both sides )

7 = c

y = - \(\frac{1}{3}\) x + 7 ← equation of perpendicular line

Answer: 40 pupils

Step-by-step explanation:

 35           14

-------   =   --------

100             ?

find the denominator.

multiply 14 and 100:

14 x 100 = 1400

divide 1400 by 35

1400/35 = 40

Therefore there are 40 students

Answer:

Step-by-step explanation:

You want the domain and range of the function ...

  f(x) = 5·|x|

The domain of the function is the set of values of x for which it is defined. Here, the absolute value function is defined for all values of x.

The domain is all real numbers.

The range is the set of output values the function can produce. The absolute value function can produce any non-negative number.

The range is all real numbers greater than or equal to zero.

<95141404393>

While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer:

Step-by-step explanation:

Answer: You can add 5. The question is asking you what can you do to make both sides equal 8. I am not a professional but I hope that helped.

Answer:

\(n=(\frac{z_{\alpha/2} \sigma}{ME})^2\)   (b)

The critical value for 80% of confidence interval now can be founded using the normal distribution the significance level would be 20% and the critical value \(z_{\alpha/2}=1.28\), replacing into formula (b) we got:

\(n=(\frac{1.28(1.8)}{0.12})^2 =368.64 \approx 369\)

So the answer for this case would be n=369 rounded up to the nearest integer

Step-by-step explanation:

We know the following info given:

\( \sigma = 1.8\) represent the standard deviation

\(\mu = 5.8\) the true mean that she believes

\( ME = 0.12\) represent the margin of error

The margin of error is given by this formula:

\( ME=z_{\alpha/2}\frac{s}{\sqrt{n}}\)    (a)

And on this case we have that ME =+0.12 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

\(n=(\frac{z_{\alpha/2} \sigma}{ME})^2\)   (b)

The critical value for 80% of confidence interval now can be founded using the normal distribution the significance level would be 20% and the critical value \(z_{\alpha/2}=1.28\), replacing into formula (b) we got:

\(n=(\frac{1.28(1.8)}{0.12})^2 =368.64 \approx 369\)

So the answer for this case would be n=369 rounded up to the nearest integer

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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On solving the function for {x} = 4, we get the point of discontinuity.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the function as -

y = 16/x - 4

On solving for {x} = 4, we can write -

y = 16/4 - 4

y = 16/0

y = ∞

This gives us the point of discontinuity.

Therefore, on solving the function for {x} = 4, we get the point of discontinuity.

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9514 1404 393

Answer:

Step-by-step explanation:

Let g represent the age of the garden. Then the age of the tree is 15g. The sum of their ages is ...

  g +15g = 128

  16g = 128 . . . . . collect terms

  g = 128/16 = 8 . . . . divide by the coefficient of g

The garden is 8 years old; the tree is 120 years old.

Based on the various meals offered by the catering service, the ways that the order can be done is 6,930 ways..

This can be found as:

= (11! / (9!2!)) x (7! / (5!2!)) x (4! / (2!2!)

= 55 x 21 x 6

= 6,930 ways

In conclusion, the order can be made in 6,930 ways.

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Answer:

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-4, 7) and S(5,3)

The midpoint is

We have the final answer as

Hope this helps you

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{(0.5 \: , \: 5)}}}}}\)

Step-by-step explanation:

Let A ( -4 , 7 ) be ( x₁ , y₁ ) and S ( 5 , 3 ) be ( x₂ , y₂ )

Finding the midpoint

\( \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2})}} \)

\( \longrightarrow{ \sf{( \frac{ - 4 + 5}{2} \: , \: \frac{7 + 3}{2}) }}\)

\( \longrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{10}{2} }})\)

\( \longrightarrow{ \sf{( 0.5 \: , \: 5}})\)

Hope I helped!

Best regards! :D

Answer:

yes

Step-by-step explanation:

The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.

Answer:  Yes; it is a rational number.

__________________________________________

Step-by-step explanation:

__________________________________________

An irrational number, by definition, has "non-terminating, non-repeated decimal".

This number given has a "non-terminating decimal" that "is repeating"; so, instead of being an "irrational number", it is a "rational number."

__________________________________________

Hope this helps!

__________________________________________

Answer:

42

Step-by-step explanation:

28 + 14

yeah-ya...... right?