for which prime p,p4+8 is also a prime number

Answer:

797,000,000 miles

Step-by-step explanation:

Earth is 9.3 X 10^7 miles from the Sun. 9.3 X 10^7 = 93,000,000 miles

Saturn is 8.9 X 10^8 miles from the Sun. 8.9 X 10^8 = 890,000,000 miles

890,000,000 - 93,000,000 = 797,000,000 miles

Answer:

Integer, rational

Step-by-step explanation:

An integer is normally described as a positive and their opposites and zero. The explaination for blank 2 is a rational number because a rational number can also be an integer and a whole number. Hope this helps!

Answer:

Step-by-step explanation:

The answer is integer. Integer are whole numbers that are either positive or negative including 0.

Answer:

1/5

Step-by-step explanation:

width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed

Given that :

Original Width of picture = 7 3/5 cm

Width required for picture to fit into frame=7 3/10

For picture to fit into frame:

(7 3/5 - 7 3/10) must be trimmed off from the frame.

(7 3/5 - 7 3/10)

(7 - 7) = 0

(3/5 - 3/10)

Taking the L. C. M

(6 - 3) / 10

= 2 / 10

= 1/5

THEREFORE, 1 / 5 of the width should be trimmed in other to ensure the picture fits into the frame.

Answer:

I HOPE IT WILL WORK

Step-by-step explanation:

let age of Maggie =x years

as given that Maggie brother is 3 year less than twice of her age

hence

brother = (2x-3) years

also given that sum of ages =24

hence

x+(2x-3)=24

3 x-3=24

3 x=27

x=9 years Maggie

so his brother=9-3=6 years

pls hit the star and brainlist it if you found it helpfull thanks

Answer:

a. 2 and 8x + 12

Step-by-step explanation:

16x + 24

Factor out 2

2(8x+12)

Area is length times width

2 * (8x+12)

Answer: a. 2 and 8x + 12

Step-by-step explanation:

Area of a rectangle is length times width.

(2)(8x+12) = 16x + 24

Answer:

2N÷4=7N-5/3

Hope this helps!

Answer: 122 square feet

Explanation:

The larger rectangle has area of 14*15 = 210 square feet.

The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.

The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet

Answer:

68 square cm

Step-by-step explanation:

Interior square WXYZ is making four right triangles of equal bases (8 cm) and heights (2 cm) inside the square ABCD. Therefore,

Area of shaded Square = Area of square ABCD - 4 times area of one right triangle.

[tex] = {10}^{2} - 4 \times \frac{1}{2} \times 8 \times 2 \\ = 100 - 32 \\ = 68 \: {cm}^{2} [/tex]

Answer:

XN = 6

Step-by-step explanation:

Given XY is an angle bisector then the ratio of the sides is equal to the corresponding ratio of the base, that is

[tex]\frac{AX}{XN}[/tex] = [tex]\frac{AY}{YN}[/tex] , substitute values

[tex]\frac{18}{XN}[/tex] = [tex]\frac{12}{4}[/tex] ( cross- multiply )

12XN = 72 ( divide both sides by 12 )

XN = 6

Answer:

18[tex]\pi[/tex]

Step-by-step explanation:

area of the "left most" side disk would be [tex]\pi r^{2}[/tex] = 9[tex]\pi[/tex]

the height of the disk is = 2

thus the area would be 18[tex]\pi[/tex] units cubed

Answer:

56.55 units

Step-by-step explanation:

If we rotates this rectangle we will get a cylinder.

The base of this cylinder is a circle with a radius of 3 units (the high of the rectangle).

And the high of this cylinder is 2 units.

Volume of cylinder is given by the formula :

V= h.pi.r²

so V= 2×3.14×9

= 56.55 units

Answer:

A

Step-by-step explanation:

lm‎ao this problem is b‎u‎l‎ls‎h‎‎‎i‎t because the actual answer would be [2, 2] U (7, infty) but thats literally not there, so ig the closest one would be [2, infty) which is A

if it was asking for the domain on the other hand, then it would be B lm‎ao

but I would go with A

Answer:

Step-by-step explanation:

Hope this Helps ;)

Answer:

r² = 0.5652  < 0.7 therefore, the correlation between the variables does not imply causation

Step-by-step explanation:

The data points are;

X,          Y

0.7,       1.11

21.9,     3.69

18,         4

16.7,      3.21

18,         3.7

13.8,      1.42

18,          4

13.8,      1.42

15.5,      3.92

16.7,       3.21

The correlation between the values is given by the relation

Y =   b·X + a

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

Where;

N = 10

∑XY = 499.354

∑X = 153.1

∑Y = 29.68

∑Y² = 100.546

∑X² = 2631.01

(∑ X)² = 23439.6

(∑ Y)² = 880.902

From which we have;

[tex]b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566[/tex]

[tex]a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704[/tex]

[tex]r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}[/tex]

[tex]r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6 \right )\times \left (10 \times 100.546- 880.902\right )} } = 0.7518[/tex]

r² = 0.5652  which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.

Answer:

b = 80°

Step-by-step explanation:

The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.

Thus, the angle is = 80°

Therefore, b + 80° = 180° (angle on a straight line = 180°).

Thus, b = 180° - 80° = 100°.

The measure of b is 80°.

Answer:

-25/9

Step-by-step explanation:

1 + (-2/3) - m

Plug in:

1 + (-2/3) - 9/2

1 + 2/3 - 9/2

1/3 - 9/2

-25/9

Hope this helped.

Answer:

4 5/6

Step-by-step explanation:

1+-2/3--m

Subtracting a negative is like adding

1-2/3 +m

1/3+m

m = 9/2

1/3 +9/2

Get a common denominator of 6

1/3 *2/2 +9/2*3/3

2/6 + 27/6

29/6

Changing to a mixed number

4 5/6

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

An expression is defined as a set of numbers, variables, and mathematical operations. In the given expression 9x³+4x²+7x+6, the value of the constant is 6.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

In the given expression, 9x³+4x²+7x+6, the value of the constant is the value that does not have any variable with it.

Therefore, in the given expression 9x³+4x²+7x+6, the value of the constant is 6.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

As Doris Day said: Good morning to you

Answer 27/2

Step-by-step explanation:

[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]

Answer:

x1(1 is on the bottom)= -5/2 (fraction), x2(2 on the bottom)=-1/2 (fraction)

Step-by-step explanation:

Answer: Distributive property of the multiplication.

Step-by-step explanation:

You did not post Gretchen's expression, but i gues that it is 3*(x + y)

I guess that it is the distributive property of the multiplication.

For 3 numbers, A, B and C, we have that:

A*(B + C) = A*B + A*C

here we have:

3*x + 3*y

We can do the inverse process to the distributive property, and get:

3*x + 3*y = 3*(x + y)

which i guess is Gretchen's expression.

Answer:

the other person is right it is Distributive property of the multiplication.

Answer:

10 batches - they only have 10 eggs, so they can't make any more batches without them

Answer:

3,-1

Step-by-step explanation:

The image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).

The given coordinate point is (-1, 3).

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.

The point (-1, 3) is rotated 270° counterclockwise about the origin becomes (3, -1).

Therefore, the image of the point (-1,3) after a rotation of 270° counterclockwise about the origin is (3, -1).

To learn more about the rotation of 270° counterclockwise visit:

brainly.com/question/9109065.

#SPJ2

Answer:

irrational

Step-by-step explanation:

See the image for a Venn diagram illustrating relationships among the various subsets of real numbers.

Answer:

rational is the answer....

Answer:

Step-by-step explanation:

1- on Monday the number of tricycles: 51/3=17 or 48/3=16 ( can't be 50)

2-the algebraic equation is : t=w/3 ( t=tricycle, w: wheels)

3-On Wednesday: (b for bicycle and t=tricycle)

 2b+3t=61

b+t=24 ⇒ b=24-t

solve by substitution:

2(24-t)+3t=61

48-2t+3t=61

t=61-48 ⇒ t=11

solve for b=24-t

b=24-11=13

4)t: tricycles, b for bicycles, n for tandem

t+b+n=144 ( each has one handlebar)⇒ t=144-b-n

2t+2b+4n ( for the pedales)

3t+2b+2n=320 ( for wheels)

solve by matrix or substitution: substitute t in the equations:

2t+2b+4n =378

3t+2b+2n=320

2(144-b-n)+2b+4n=378 ⇒ 288-2b-2n+2b+4n=378

3(144-b-n)+2b+2n=320 ⇒432-3b-3n+2b+2n=320

288-2b-2n+2b+4n=378

432-3b-3n+2b+2n=320

2n=378-288 ⇒ n=90/2=45

-b-n=320-432

-b-45=-112

-b=-112+45 ⇒ b=67

t=144-45-67= 32

Answer:

8 nickels

Step-by-step explanation:

Let n be the number of nickels.

4: (2+ 6 + 4 + n) = 1:5

4÷(12 + n) = 1÷5

4 x 5 = 1 x (12 + n)

20 = 12 + n

n = 8

Answer:

Amount of trash added to the landfill everyday

Step-by-step explanation:

If 2000 represents the amount of trash added to the landfill everyday then 1000 is the starting amount.

I got it right on the test. Hope this helped!

Answer:

39 hours

Step-by-step explanation:

First, let's find the rate of money per hour:

$554.30 / 23 hour

= $24.1 / 1 hour

Daniel earns $24.10 every hour he works.

To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:

$939.90 / 24.10

= 39

Now, we can check:

$24.10 * 39

= $939.90

Hope this helps!  Please tell me if I was incorrect!

Answer:

algebra es muy buena materia

Answer:

37 = -3 + 5(k +6)

37 = -3 + 5k + 30

37 = 27 + 5k

10 = 5k

k = 2

-2 = -(w - 8)

-2 = -w + 8

-10 = -w

w = 10

Answer:

37=-3+5(k+6)                                            

37=-3+5k+30

37=27+5k

37-27=5k

5k=10

k=10/2

k=5

***********************************************************************************

-2=-w+8

-2-8=-w

-w=-10

w=10

Answer:

∠ DFE = 15°

Step-by-step explanation:

The inscribed angle DFE is half the measure of its intercepted arc, that is

∠ DFE = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 30° = 15°

Answer:

<DFE = 15

Brainliest, please!

Step-by-step explanation:

<DFE is an inscribed angle. An inscribed angle measures half as much as it's opposite arc.

30 x 1/2 = 15