what is the approximate value of x in the exponential 4^x=14?

Answer:

  313°

Step-by-step explanation:

The reference angle (α) can be found using the tangent relation:

  Tan = Opposite/Adjacent

__

In this problem, that means ...

  tan(α) = 78/83

  α = arctan(78/83) ≈ 43° . . . . . . angle from -x axis

The bearing angle will be this value added to 270°, since bearing angles are measured clockwise from north.

  bearing = 270° +43° = 313°

The coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.

A polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane.

We have an angle of 120 degree

θ = 120 degree

r = 1 unit

As we know, the coordinate in the polar form from the rectangular form is:

x = rcosθ = cos120 = -1/2

y = rsinθ = sin120 = √3/2

Thus, the coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.

Learn more about the polar form here:

brainly.com/question/13640455

#SPJ1

Answer:

Option C . 6 cm , 8 cm and 10 cm

Step-by-step explanation:

Question : Which three side lengths best describe the triangle in the diagram?

As we can clearly see measurement of the scale [ refer to attachment ]

In Triangle ABC

Therefore option C is Correct.

Answer:

here you go..............

Answer:

C

Step-by-step explanation:

None of the others are vertical angles

a is supplementary angles

b is supplementary angles

d is alternate interior angles

Step-by-step explanation:

There is no diagram how can we answer

Answer:

D (8, 11, 13, 13,17,20,23)

Step-by-step explanation:

I did this and got it correct.

Answer:

65º

Step-by-step explanation:

Angles in a triangle add to 180º so:

180- 44 - 71 = 180 - 115 = 65º

Answer:

No sollution

Step-by-step explanation:

It simple

Answer:

the slope is [tex]\frac{10}{21}[/tex]

Step-by-step explanation:

slope formula for linear equations:

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] so for the two points [tex]\frac{-1 - (-11)}{10 - (-11)}[/tex]  [tex]= \frac{10}{21}[/tex]

Answer:

2πx3

Step-by-step explanation:

The equation of the median-median line for given data will be y = 3x + 10. Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The data set in the table is given below.

X           Y

2           6

4          22

6          30

8          24

10         40

12         46

14         52

16         72

18         60

20        64

For the above after dividing the above data into 3 parts of the set (3,4,3)

Then the equation of the median-median line for given data will be

y = 3x + 10

Then the correct option is A.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

[tex]5y=-4[/tex]

Sure hope this helps you  :D

Answer:

Midsegment theorem for Traoezoids

Step-by-step explanation:

I hope it helps you

Sequence: 24 + 12 + 6 + 3 +...

Explanation:

This is infinite geometric series converges.

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify the following

Solve:

[tex]\rightarrow \sf S \infty \ =24\ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]

[tex]\rightarrow \sf S \infty \ =48[/tex]

This is series has a sum of 48.

Answer:

5% account = $1,240

10% account = $2,190

Step-by-step explanation:

Let's assume the amount of savings in the 5% account is x.

Thus the amount of savings in the 10% account is (x + $950).

We can write the following equation from the interest amount:

[5% x ] + [10% (x + $950)] = $281

5%x + 10%x + $95 = S281

15%x = $186

x = $1,240

There is $1,240 in the 5% account

Therefore, on the 10% account there is $1,240 + $950 = $2,190

Answer: (x +7)^2 +(y +6)^2 = 9

Step-by-step explanation:

The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...

 (x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)

For (h, k) = (-7, -6) and r=3, your circle is ...

 (x -(-7))^2 +(y -(-6))^3 = 3^2

 (x +7)^2 +(y +6)^2 = 9

i hope this helps btw i did not copy n paste l got 100% on this

Answer:

50.24

-

And, you're not bad at math! You goot this correct! :)

Step-by-step explanation:

c=25.12

we can use this to find the raidus!

-

plug it back into the circumference formula first.

c=(pi)(d)

25.12=3.14*d

divide both sides by 3.14!

d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!

-

now we plug it into the area of a circle formula.

π · r2

3.14 * 4^2

3.14*16

50.24

Answer:

Hope the picture will help you........

[tex]~~~~~~-5x < -15x +40\\\\\implies -5x +15x < 40\\\\\implies 10x < 40\\\\\implies x < \dfrac{40}{10}\\\\\implies x < 4\\\\\text{So, the answer is C.}[/tex]

Answer:

The answer will be C X < 4 okay thanks

Answer:

Step-by-step explanation:

1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m

:)

Answer:

(4:-4)

Step-by-step explanation:

the graphs y- axis starts at 4 and ends at -4

Answer:

Morgan is incorrect because 24 1/2- 22 3/4=1 3/4

Step-by-step explanation:

24 ¹/²- 22 ³/⁴=1 ³/⁴

Answer:

Assuming you meant 2x^2-7x+6=0,

the answer is x=2, x=1.5

Use the quadratic formula. (-b (+ or  -) sqrt(b^2 - 4ac) )/ (2a)

Using the normal distribution, it is found that 84 people would be expected to have BP > 160.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, the mean and the standard deviation for the BPs are given, respectively, by:

[tex]\mu = 122, \sigma = 22[/tex].

The proportion of adults with BP > 160 is given by one subtracted by the p-value of Z when X = 160, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{160 - 122}{22}[/tex]

Z = 1.73

Z = 1.73 has a p-value of 0.9582.

1 - 0.9582 = 0.0418.

Out of 2000 people:

0.0418 x 2000 = 83.6.

Rounding to the nearest integer, 84 people would be expected to have BP > 160.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The amount that will be in the account after 10 years is $651.56.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

The principal amount is $400 which is invested for a period of 10 years at an interest rate of 5% annually. Therefore, the amount in the account after 10 years will be,

[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = \$400 (1+ \dfrac{0.05}{1})^{1 \times 10})\\\\A=\$651.56[/tex]

Hence, the amount that will be in the account after 10 years is $651.56.

Learn more about Compound Interest:

https://brainly.com/question/25857212

#SPJ1

Answer:

Here is the answer:

Step-by-step explanation:

An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.

Answer: x < 5 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]

x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]

x < 5 [tex]\frac{2}{5}[/tex]

graph is attached