Find the value of X ​

The least prime greater than 17 that is the sum of four different prime numbers is 23

The least prime that is the sum of four different prime numbers is 17

That is, 17 = 2 + 3 + 5 + 7

Prime numbers greater than 17 are 23, 29, 31. 37, 41,........

Prime numbers less than 17 are 2, 3, 5, 7, 11, 13

How can we combine the prime numbers 2, 3, 5, 7, 11, and 13 to give the least prime number greater than 17

The only possible combination is:

2  +  3  +  7  +  11   =  23

Therefore, the least prime greater than 17 that is the sum of four different prime numbers is 23

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The motion of the mass as it moves on the bottom of the spring is a

repetitive motion.

Reasons:

The general form of the equation of the simple harmonic motion of the

mass is d = a·sin(ω·t)

Where;

d = The distance of the mass from the rest position

a = The maximum displacement of the mass from the equilibrium position = 6 cm

ω = The frequency of rotation

t = The time of motion

ω = The frequency of rotation

[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]

Where;

T = The time to complete one cycle (the period of oscillation) = 4 seconds

[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]

Combining the above values gives the modelling equation as follows;

[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]

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Answer:

B is my answer si no sorry

Answer:

A = positive  

B = positive, negative

C = negative

D = positive, negative

Answer:

A Positive coordinates (5,5)    B Negative and Positive coordinates (-5,5)  C Negative coordinates (-5,-5)  D Negative and Positive coordinates (5,-5)

Step-by-step explanation:

Pls mark brianlist hope this helps .

Answer:

the answer is the third

hope it help

Answer:

Step-by-step explanation:

Inequalities

Chris has a goal to get through at least 14 books:

He has at most 120 hours that he can spend on books:

He wants to complete at least 2 audio books and at least 4 paper books:

Answer:

$118.40

2.50x Plus 4 Equal 300

2.50x Equal 296

2.50x/2.50 Equal $118.40

Answer:

subtract the actual measurement from the initial measurement

ie. 92-90.3 =1.7 %

You can calculate the error and then measure how much percent of the real value, the error came.

The percent error in the considered measurement is of approx 1.88%

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

[tex]\text{Percent error} = |\dfrac{Error}{\text{Actual value}}| \times 100 = |\dfrac{\text{(Actual value - Estimated value)} }{\text{Actual value}}| \times 100[/tex]

Sine in the given condition, we have:

Thus, we have

Error = 90.3 - 92 = -1.7 miles per hour

Thus, the percent error is calculated as:

[tex]\text{Percent error} = |\dfrac{-1.7 }{90.3}|\times 100 = \dfrac{1.7 \times 100}{90.3} = \dfrac{170}{90.3} \approx 1.88\%[/tex]

Thus,

The percent error in the considered measurement is of approx 1.88%

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The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).

Recall:

In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.

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Answer:

$1.75

Step-by-step explanation:

3.5*2.5=(8.75)/2=4.375*0.4=1.75 dollars

Answer:

312

Step-by-step explanation:

499-187

Answer: Tim needs to save $312 more.

Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>

c = 1 > 7 =

According to very reliable sources.

Answer:

8 pounds

Step-by-step explanation:

"purchased 3 pounds of mac and cheese for $7.50"

You would make this into an equation to figure out the price of one pound of mac and cheese (x):

7.50=3x

x=2.5

Next, you can create an equation to represent the price per pound.

Total price = 2.5(number of pounds)

Now, plug in the information you have:

20 = 2.5x

8=x

Answer:

20

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] = 40

[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]

40 ÷ [tex]\frac{2}{1}[/tex] = 20

Answer:75 mph

Step-by-step explanation:

Answer:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Step-by-step explanation:

Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (-3, 1)

     (x₂, y₂) = (1, -2)

Substitute these points into the formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]

m = -¾

Therefore, the slope of the given line is -¾.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form,  f(x) = mx + b:

f(x) = mx + b

-2 = -¾( 1 ) + b

-2 = -¾ + b

Add ¾ to both sides to solve for b:

-2 + ¾ = -¾ + ¾ + b

[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]

Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Answer:

my answer is 3:5

Step-by-step explanation:

sana makatulong yan

Answer:

I think it is 15 ..............

Answer:

1= 70

2=110

3=46

4= 102

5= 37

Step-by-step explanation:

g = 64.99 - 4.98

Step-by-step explanation:

If g is the original price then if you subtract the difference between the original price and the current price.

Answer:

15

Step-by-step explanation:

it's where you start. where your going to start you slope on the graph which means that the x would be 0

Answer:

-16u+32x−48

Step-by-step explanation:

(6-4x+2u)(-8)

Rearrange terms.

(2u-4x+6)(-8)

Re-order terms so constants are on the left.

-8(2u-4x+6)

Distribute.

-16u+32x−48

Hope this helps :)

Answer:

167.2 m/sec

Step-by-step explanation:

Convert 602 km/hr to m/sec, as follows:

602 km       1000 m

------------ * ----------------- = 602,000 m/hr

    hr               1 km

Recall that 1 hr = 3600 sec.  Convert 602,000 m/hr to m/sec:

602,000 m          1 hr

------------------ * ---------------- = 167.2 m/sec

     1 hr              3600 sec

Answer:

y+3=5/3(x+6)

Step-by-step explanation:

Since it is parallel to 5x-3y=9, you need to find the slope of that line because then you would find the slope to your line.

5x-3y=9

5x=9+3y

5x-9=3y

y=5/3x-3, and the slope would be 5/3.

Now you can apply point slope form [tex]y-y_{1}=m(x-x_{1} )[/tex] to get an equation.

y+3=5/3(x+6)

Answer: [tex]\frac{5}{3}[/tex]x + 7

Step-by-step explanation:

Answer:

(5)2 x (a)2

Step-by-step explanation:

Collect the like terms which in this case are 5 and a, then see how many times they show. Put brakets or an index based on how many times the term shows.

Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...

Plot those numbers on the number line as open or closed points based upon the original inequality symbol.

Choose a test value in each interval to see if the interval satisfies the inequality or not.

Answer:

1 13/20

Step-by-step explanation:

3/4 divide by 5/11

=3/4 times 11/5

=33/20

Convert

=1 13/20

[tex]y \geqslant - x + 3[/tex]

[tex]y < \frac{1}{2} x + 3 \\ [/tex]

now just put the coordinates of point ( 1 , 1 ) in the above inequalities and check if they correct or wrong :

[tex]1 \geqslant - 1 + 3[/tex]

[tex]1 < \frac{1}{2} (1) + 3 \\ [/tex]

So :

[tex]1 \geqslant 2[/tex]

[tex]1 < 3.5[/tex]

1 is lower than 3.5 of course but geuss what ?

Is 1 higher than 2 or equal to 2 ? Nope not at all

Thus the correct answer would be :

" no , it is not a solution "