Write the expression using a single exponent.
7^5 • 7^6
A. 49^30
B. 7^30
C. 49^11
D. 7^11

Answer:36

Step-by-step explanation:

Answer:

Option D. {7 + i√71 / 20, 7 – i√71 / 20}

Step-by-step explanation:

10m² – 7m + 3 = 0

Using formula method, the solution to equation can be obtained as follow:

10m² – 7m + 3 = 0

Coefficient of m² (a) = 10

Coefficient of –7m (b) = –7

Constant (c) = 3

m = –b ±√(b² – 4ac) / 2a

= – –7 ±√((–7)² – 4 × 10 × 3) / 2 × 10

= 7 ±√(49 – 120) / 20

= 7 ±√(–71) / 20

Recall:

–17 = –1 × 17

Thus,

7 ±√(–71) / 20 = 7 ±√(–1 × 71) / 20

Recall:

√–1 = i

Thus,

7 ±√(–1 × 71) / 20 = 7 ± i√71 / 20

= 7 + i√71 / 20 or 7 – i√71 / 20

Therefore, the solutions to the equation are:

{7 + i√71 / 20, 7 – i√71 / 20}

Answer:

720°, 2340°, 180°

Step-by-step explanation:

Look at the attached image of a regular hexagon.  I drew all possible lines from a vertex to other vertices (AC, AD, AE).  Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

♦  Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).

See attached image2 to see what happens in an octagon.  There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

What about a 15-sided regular polygon?  How many triangles would be formed by putting in all the diagonals coming from one vertex?  There will be 2 fewer triangles than the number of vertices, 13.

♦  The total of interior angle measures in a 15-gon is 13(180°) = 2340°

♦  A polygon with 3 sides is a single triangle; interior angle sum = 180°

Answer: [tex]12.39\ kg[/tex]

Step-by-step explanation:

Given

Luis used 590 gm of flour each day

If he continues to use it for 3 weeks

A week has 7 days; so 3 weeks have 21 days

The flour used in 21 days

[tex]\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg[/tex]

Thus, [tex]12.39\ kg[/tex] of flour is used in 3 weeks

Answer:

5.5 + 4 +3

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

52.50/6=8.75

To make sure that is correct

8.75×6

Answer:

Her hourly rate is $8.75

Step-by-step explanation:

Answer:

D. 24

Step-by-step explanation:

substitute -4 for x:

f(-4)=20-(-4)

f(-4)=24

Answer:

6*5=30 units

Step-by-step explanation:

Brainliest?

Answer:

6

Step-by-step explanation:

they can both be divided by 6

Answer:

they can both be divided by 6

Step-by-step explanation:

18÷6=3

6÷6=1

Answer:

5.3%

Step-by-step explanation:

The first step is to find the z score corresponding to $200.

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{200-144.05}{34.52}\approx 1.62[/tex]

The next step is to find the area under the standard normal curve to the right of z = 1.62.  Some graphing calculators can do this, and there are tables that will help, although many of those show areas to the left of a particular z-score.

Calculator (TI-83/84)

See the attached image.

The command uses 1 x 10^99 as "positive infinity" and calculates the area under the normal curve from 1.62 all the way to the right.

Table

See attached table.  This table shows areas to the left of a certain z-score.

Find the entry for 1.62 (it's on page 2 highlighted with a red box).  The table says the area to the left of 1.62 is 0.9474.

But the area under the entire curve is 1!

This important fact means that the area to the right of z = 1.62 is 1 - 0.9474 = 0.0536, about 5.3%

(To get the area to the right of z, subtract the area to the left of z from 1.)

Answer:

65°

Step-by-step explanation:

First we find the sizes of the other two sides, as the bottom line is straight all angles on it must add up to 180 so:

180-105=75

So the first angle is 75°

180-140=40

So the second angle is 40°

Now as the angles of a triangle add up to 180 we can derive this equation:

75+40+x=180

and all we do is just subtract both sides by 75 and 40:

x=180-75-40

x=65

And 65 is our answer

Answer:

-2/7

Step-by-step explanation:

reciprocal, I'll put it as negative inverse.

so just concert 3.5 to fraction, which is 7/2

then find the negative inverse that's -1÷7/2

answer us -2/7

really hope it's right(...sorry if I'm wrong) and hope you get it.

Answer:

Answer:

1.) [tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]

2.) [tex]\frac{1}{3}[/tex] ÷ 4 = [tex]\frac{1}{12}[/tex]

3.) [tex]\frac{1}{4}[/tex] ÷ 5 = [tex]\frac{1}{20}[/tex]

4.) [tex]\frac{1}{4}[/tex] ÷ 4 = [tex]\frac{1}{16}[/tex]

5.) 3 ÷ [tex]\frac{1}{4}[/tex] = 12

6.) 4 ÷ [tex]\frac{1}{2}[/tex] = 8

7.) 5 ÷ [tex]\frac{1}{4}[/tex] = 20

8.) 4 ÷ [tex]\frac{1}{4}[/tex] = 16

Hope this helps!

Answer:

Step-by-step explanation:

The system of linear equations has no solution when the lines are parallel. It means the lines have same slope but different y-intercepts.

The y-intercepts are different:

For the given system to have no solution we need n = -4.

9514 1404 393

Answer:

  D  2.14

Step-by-step explanation:

The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.

  Sin = Opposite/Hypotenuse

  sin(34°) = AC/AB   ⇒   AB = AC/sin(34°)

  sin(53°) = AC/AD   ⇒   AD = AC/sin(53°)

The desired difference in lengths is ...

  AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446

The difference in lengths is about 2.14 units.

Answer:

The complement of 73° is 17°

The supplement of 73° is 107°

Step-by-step explanation:

Two angles in a complementary are equal to 90°

∴ For complementary:

73° + x = 90°

x = 90°- 73°

∴ x =  17 °

Two angles in a supplementary are equal to 180°

∴ For supplementary:

73° + x = 180°

x = 180° - 73°

∴ x =  107°

Answer:

$21

Step-by-step explanation:

If apples are 3 dollars for 1 pound, and he buys 7 pounds, that's 3 * 7, which is 21.

Answer:

21

Step-by-step explanation:

3×7 21. jejdiwndbJnsjdkandjxjwnxjkwhdusjdidjduxjsbxjsndkdndjxjdjd

Answer:

95

Step-by-step explanation:

19 x 5 = 95

Answer:

x^4+x^3-3x^2-12x

Step-by-step explanation:

0,-4,√3 are the zeros of polynomial. P.

If x=√3 is a zero and P has integer coefficients, then x=-√3 is also a zero. Both of these results come from solving the equation x^2=3 or x^2-3=0 so x^2-3 is a factor of P.

x=0 is a zero, means x-0 or x is a factor.

x=-4 is a zero, means x-(-4) or x+4 is a factor.

So the polynomial, P, in factored form is

x(x^2-3)(x+4)

Let's write in standard form.

I will begin by multiplying the last two factors.

x(x^3+x^2-3x-12)

Distribute x

x^4+x^3-3x^2-12x

Answer:

9. not all of them are, so false

10. true

Step-by-step explanation:

Answer:

True and true

Step-by-step explanation:

I think this is symmetry, but if it’s not I’ll change my answer

Answer:

The answer is C.

Step-by-step explanation:

First divide both sides by -6.

48/-6 > x/-6

Remember, you switch the signs if you are dividing by a negative number.

The final answer will be x<-8.

Hope this helps!

Answer:

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

a. 49/2

b. -2/9

If I make any mistakes, I'm sorry.

Answer:

12.32 units

Step-by-step explanation:

Use the distance formula to find the lengths between two points:

[tex]d=\sqrt{(x_{2} -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

the distance between (-2, -1) and (-5,-1) is

[tex]\sqrt{(-2-(-5))^2+(-1-(-1))^2}[/tex]

=[tex]\sqrt{3^2+0^2}[/tex]

=[tex]\sqrt{9}[/tex]

=3

the distance between (-2, -1) and (-3, -4) is

[tex]\sqrt{(-2-(-3))^2+(-1-(-4))^2}[/tex]

=[tex]\sqrt{1^2+3^2}[/tex]

=[tex]\sqrt{10}[/tex]

≈3.16

the distance between (-6, -4) and (-3, -4) is

[tex]\sqrt{(-6-(-3))^2+(-4-(-4))^2}[/tex]

=[tex]\sqrt{(-3)^2+0^2}[/tex]

=[tex]\sqrt{9}[/tex]

=3

the distance between (-6, -4) and (-5, -1) is

[tex]\sqrt{(-6-(-5))^2+(-4-(-1)^2}[/tex]

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

=[tex]\sqrt{10}[/tex]

≈3.16

Now, add all the sides:

3+3.16+3+3.16=12.32 units

Note: A property of a parallelogram is that it has two pairs of congruent sides, so for this problem, you could solve for 2 different sides, double them, then add and you will get the same thing.

Answer:

NOPE

Step-by-step explanation:

its a virus dont  fall for it

Step-by-step explanation:

Answer:

hey guys!! answer is B!!

Step-by-step explanation

hope this helps!

Answer:

b give brainest

Step-by-step explanation:

Answer:

A = (6,6)

Hope this helps!