) Express the prime number 43 as the difference of two squares?​

Answer:

Read below v

Step-by-step explanation:

First you would find the area of the semi circle by turning it into a circle and then dividing your answer by two. Then you would find the area of the triangles.

Answer:

26.13 [tex]ft^{2}[/tex]

Step-by-step explanation:

Half circle :

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

A = 3.14 ([tex]3^{2}[/tex]) = 9(3.14) = 28.26

That's a full circle. We want half. Divide by 2 = 14.13

Triangles. Both are same.

A = [tex]\frac{(b)(h)}{2}[/tex] = [tex]\frac{(3)(4)}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6

There are two of them, so area of triangles is 12

12 + 14.13 = 26.13

[tex]a. \: 8 = 2 + 2a \: and \: 3 = a[/tex]

Step-by-step explanation:

Answer:

it's going to be 4n so its going to be 4...

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Assuming you meant when n=14

10(n-6)

plug in 14 for n

10(14-6)

work out parenthesis first

10(8)=

80

Answer:

5/2

Step-by-step explanation:

You change the signs to positive and then you put 15 as numerator and then 6 as denominator which gives you 15/6. But you can also simplify it which gives you 5/2. Hope this helps!

9514 1404 393

Answer:

  a) 320 m

  b) 4.838 seconds, or 11.162 seconds

Step-by-step explanation:

a) S(8) = -5(8^2) +80(8) = -320 +640 = 320

The height 8 seconds after takeoff will be 320 meters.

__

b) S(t) = 270

  270 = -5t^2 +80t

  -54 = t^2 -16t . . . . . . divide by -5

  10 = t^2 -16t +64 . . . . add 64

  ±√10 = t -8 . . . . . . . . . . take the square root

  t = 8 ±√10 ≈ {4.838, 11.162}

The rocket will be at a height of 270 meters at 4.838 and 11.162 seconds after takeoff.

Answer:

yes, the Temperature is 5 F

Step-by-step explanation:

-3 + 8 = 5

Answer:

v<1 23/25

Step-by-step explanation:

The inequality simplifies to 48/25, which is equivalent to 1 23/25.

Answer:

There are 2,598,960 ways to receive 5 cards from a deck of 52.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

a. How many ways are there to receive 5 cards from a deck of 52?

[tex]C_{52,5} = \frac{52!}{5!(47)!} = 2598960[/tex]

There are 2,598,960 ways to receive 5 cards from a deck of 52.

Answer:

1. 25

2. 89

3.  51 Spanish 26 Cantonese

4. 44

5. 33

6. 57

Answer:

[tex]y^2-12y+32[/tex]

[tex]=(x - 4)(x - 8)[/tex]

------------------------

Hope it helps...

Have a great day!!

Answer: [tex]0.939\ or\ 93.9\%[/tex]

Step-by-step explanation:

Given

Survey shows that 16% of college students have dogs and 38% have HBO subscription

Probability that a random person have both is

[tex]\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608[/tex]

The probability that the random person has neither of the two is

[tex]\Rightarrow P=1-P_o\\\Rightarrow P=1-0.0608\\\Rightarrow P=0.939[/tex]

Answer:

3y(2x-1)(x-4y)

Step-by-step explanation:

Apply exponent rule:

6x^2y-3xy-24xyy+12yy

Rewrite 12 as 4*3

Rewrite -24 as 8*3

Rewrite 6 as 2*3

2*3x^2y-3xy+8*3xyy+4*3yy

Factor out common term 3y:

3y(2x^2-x-8xy+4y)

Factor 2x^2-x-8xy+4y:

3y(2x-1)(x-4y)

Your Answer Is 3y(2x-1)(x-4y)

Step-by-step explanation:

Amount of acid = 14.9% of 331 mL solution

= 0.149×(331 mL)

= 49.3 mL acid

Answer:

obtuse angle that's the answer

point slope form:

y + 3= -1/5 x (x+0)

Step-by-step explanation:

-use the point slope form equation: y - y1 = m (x - x1).

-using the given information we know that m = -1/5 and that the y intercept is (0,-3).

- y and x will be kept as a variable.

-plug in the y1 and x1 from the y intercept:

y + 3 = m(x + 0)

-once you've plugged in the y intercept then plug in the slope which gives you the answer:

y + 3= -1/5 x (x+0)

so

82-(-2)

=84

then ur answer is 84

Answer:

-40

Step-by-step explanation:

-55 + 15 = x

-40 =x

Answer:I did not see the entire question but is assuming the question is asking how many hours for both services to cost the same.

Your Pets Cost =15+1.75x

Sit Pets Cost =11+2.25x

set both equations equal to each other

15+1.75x=11+2.25x

15-11 = (2.25-1.75)x

4=0.5x

x=8

Step-by-step explanation:

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

Answer: 2y = 24

Step-by-step explanation:

Write each equation in standard form:

3x + y + 3z = 11

x + 2y + z = 7

-x + y + z = 0

In matrix form, this is

[tex]\begin{bmatrix}3&1&3\\1&2&1\\-1&1&1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}11\\7\\0\end{bmatrix}[/tex]

and in augmented matrix form,

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\1&2&1&7\\-1&1&1&0\end{bmatrix}\right][/tex]

Now for the row operations:

• Add row 1 to -3 (row 2), and add row 1 to 3 (row 3):

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&-5&0&-10\\0&4&6&11\end{bmatrix}\right][/tex]

• Multiply row 2 by -1/5:

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&4&6&11\end{bmatrix}\right][/tex]

• Add -4 (row 2) to row 3:

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&0&6&3\end{bmatrix}\right][/tex]

• Multiply row 3 by 1/6:

[tex]\left[\begin{array}{ccc|c}3&1&3&11\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]

• Add -1 (row 2) and -3 (row 3) to row 1:

[tex]\left[\begin{array}{ccc|c}3&0&0&\frac{15}2\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]

• Mutiply row 1 by 1/3:

[tex]\left[\begin{array}{ccc|c}1&0&0&\frac52\\0&1&0&2\\0&0&1&\frac12\end{bmatrix}\right][/tex]

Then the solution to the system is (x, y, z) = (5/2, 2, 1/2).

Answer:

12 blue marbles

Step-by-step explanation:

multiply 2:5 by 8 to get 16:40

multiply 3:10 by 4 to get 12:40

add 16 to 12 to get 28

Subtract 28 from 40 to get 12

Ultimately, you have 12 blue marbles

The given ratios can be expressed as fractions, from which the number of

each colored marble can be found.

Reasons:

Red : Total = 2:5

Green : Total = 3:10

Stones that are neither red nor green is blue

Number of marbles (stones) in the box = 40 marbles

Required:

The number of blue stones in the box.

Solution:

Let x represent the b in the box, let R = red stones, G = green stones, and B = blue stones, we have;

x = 40

Expressing the ratios as fractions gives;

Therefore;

[tex]R= \dfrac{2}{5} \times x[/tex]

[tex]R= \dfrac{2}{5} \times 40 = 16[/tex]

The number of red stones, R = 16

Similarly, we have

[tex]G = \dfrac{3}{10} \times x[/tex]

Therefore;

[tex]G = \dfrac{3}{10} \times 40 = 12[/tex]

The number of green stones, G = 12

B = x - (R + G)

Therefore;

B = 40 - (16 + 12) = 12  

Learn more here:

https://brainly.com/question/3957420

9514 1404 393

Answer:

Step-by-step explanation:

The line with the y-intercept of 2 is solid, so the corresponding inequality will be of the form ...

  y ≤ mx +2

The line with the y-intercept of 6 is dashed, so the corresponding inequality will be of the form ...

  y < mx +6

The answer choice showing inequalities with these forms is ...

Answer:

None of the above I think

Step-by-step explanation:

Answer:

edge of cube = root 13.5/6 = 1.5

volume of cube = (Edge of cube)^3= (1.5)^3 = 3.37500 m^3

Respuesta:

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Step-by-step explanation:

THERE ARE STEPS TO THIS

Answer:

Step-by-step explanation:

Arranging the data in the ascending order:

108.6 98.3 103.7 112 117.4 120 121.5 123.2 128.4

The median is the middle value of the data set:

a)

Hence,

median = 117.4

b)

When the value of blood pressure is 117.7 instead of 117.4 then the median will be:

Median = 117.7

c)

This indicates that the median of a well sorted set of data is depends upon the middle value of the data set.

Answer:

[tex]3^{-x} = 3^{3x + 6}[/tex]

Step-by-step explanation:

Required

Which is equivalent to [tex](\frac{1}{3})^x = 27^{x + 2}[/tex]

Express base as 3

[tex](3^{-1})^x = 3^3^{x + 2}[/tex]

Open brackets

[tex]3^{-x} = 3^{3x + 6}[/tex]