What is the area of the figure?

Answer:

1. a = 1

2. See explanation below.

Step-by-step explanation:

First Question

Given:

[tex]\displaystyle \large{\log_b a = 0}[/tex]

Convert to exponential:

[tex]\displaystyle \large{\log_b a = c \to b^c = a}[/tex]

Thus [tex]\displaystyle \large{\log_b a = 0 \to b^0 = a}[/tex]

Evaluate:

[tex]\displaystyle \large{b^0 = a}[/tex]

We know that for every values to power of 0 will always result in 1, excluding 0 to power of 0 itself.

Solution:

[tex]\displaystyle \large{a = 1}[/tex]

__________________________________________________________

Second Question

Given:

[tex]\displaystyle \large{log_0 3}[/tex] and [tex]\displaystyle \large{\log_1 3}[/tex]

Let’s convert to an equation:

[tex]\displaystyle \large{\log_0 3 = x}[/tex] and [tex]\displaystyle \large{\log_1 3 = y}[/tex]

The variables represent unknown values of logarithm.

Convert to exponential:

[tex]\displaystyle \large{0^x = 3}[/tex] and [tex]\displaystyle \large{1^y = 3}[/tex]

Notice that none of x-values and y-values will satisfy the equations. No matter what real numbers you put in, these equations will always be false.

Hence, no solutions for x and y.

Using the unit circle, it is found that the approximate decimal value of tan(α) is given by -3.274.

For an angle [tex]\alpha[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\alpha}, \sin{\alpha})[/tex].

In this problem, we have point (-0.292, 0.956), hence [tex]\cos{\alpha} = -0.292, \sin{\alpha} = 0.956[/tex].

Applying the definition of the tangent, we have that:

[tex]\tan{\alpha} = \frac{\sin{\alpha}}{\cos{\alpha}} = \frac{0.956}{-0.292} = -3.274[/tex].

Hence the second option is correct.

More can be learned about the unit circle at https://brainly.com/question/16852127

The answer: -3.274.
Hope you got it right! :)

Answer:

6 .x = 121°

Sum of all interior angles of a 7 sided polygon is 900°.

One way to test if a graph is a function or not is by doing a vertical line test.

The vertical line test is tested by testing if any vertical line is drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function, if there isn't any such line, the graph is a function.

Hope that helps!

Answer:

Vertical line test. (literally what it say)

Step-by-step explanation:

Given a graph, use the vertical line test to determine if the graph represents a function. Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Therefore you would have x value being the same for several points.

Let C be the total cost;

[tex]c = 28 \times 30 = 840[/tex]

Let R be the total revenue;

[tex]r = 28 \times 25 = 700[/tex]

Let P be the net profit;

[tex]p = r - c[/tex]

[tex]p = 700 - 840 = - 140[/tex]

There was a 140$ net loss.

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = -1/3 x +4

So : product for two slopes = -1   means : m×-1/3=-1

m = 3

now : y = 3 x+b

but this line :

through the point (4,3) : 3 =3(4)+b.......    b=-9

conclusion :

the equation is : y =3x -9

Answer:

65.62

Step-by-step explanation:

Given:

After eating a meal at a restaurant, we decided to tip 25%, building a grand total of $87.50.

To find:

Price before tip

Solution:

87.50 × 25% = 21.875

~Round~: 21.875 to 21.88

87.50 - 21 .88 = 65.62

Thus the price before the tip is 65.62

Check Answer:

Formula: Higher number - Lower number ÷ original number × 100

Solve:

87.50 - 65.62 = 21.88

21.88 ÷ 87.50=0.25005714285

0.25005714285 × 100 = 25.0057142857

Round - 25%

~lenvy~

From the given coordinates of point A(4, 0), and D (-4, 0), the area of the hexagon is 33.94 units square.

The given parameters are;

Shape of the quilt pattern = A regular hexagon

Coordinates of point A = A(4, 0)

Coordinates of point D = D(-4, 0)

Required;

The area of the hexagon

Solution;

The coordinates of the center of the hexagon, P = (0, 0)

A regular hexagon consist of six equilateral triangles.

The length of a side of the triangle = PA

Length of PA = 4 - 0 = 4

Therefore;

Length of a side of the triangle = 4

Height of the triangle = PA × sin(60)

Which gives;

Height of the triangle = 4 × (√3)/2 = 2•√3

Area of one triangle = (4 ÷ 2) × 2•√3 = 4•√2

Area of the 6 triangles is therefore;

A = 6 × 4•√2 = 24•√2

Area of the 6 triangles = Area of the hexagon

Therefore;

Learn more about the area of regular shapes here;

https://brainly.com/question/10572314

Answer:

{ - 2 , 8 }

Step-by-step explanation:

[tex]log_{4}[/tex] ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ [tex]x_{1}[/tex] = - 2 , [tex]x_{2}[/tex] = 8

{ - 2 , 8 }

Answer:

B

Step-by-step explanation:

-6x + 6 = 2x - 9

-6x + 15 = 2x

15 = 8x

x = 15/8

Answer:

x = 9 and y = 15

Step-by-step explanation:

this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it

Answer:

y=15

x=9

Step-by-step explanation:

they are parallel and equal to the opposite sides

If the value of |A| is 48 the possible values for x in the matrix is 4 or -2.

The determinant of the matrix A is as follows:

|A| = 48

Therefore,

48 = (3x × 2x) - (4x × 3)

48 = 6x² - 12x

6x² - 12x - 48 = 0

3x² - 6x - 24 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2 -4(x + 2) = 0

(x - 4)(x +2) = 0

Therefore,

x = 4 or -2

learn more on determinant here: https://brainly.com/question/19206601

Answer:

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

because 9 feet converted to inches equals 108 inches, we know this because we can convert feet to inches via multiplication. To do this, simply multiply the given number (9) by 12 to get your answer.

This is the same as saying 0.2659 < p < 0.4541

=========================================================

Work Shown:

At 95% confidence, the z critical value is about z = 1.96 which is determined through a table or calculator.

x = number of people who had kids = 36

n = sample size = 100

phat = sample proportion of those who had kids

phat = x/n

phat = 36/100

phat = 0.36

E = margin of error

E = z*sqrt(phat*(1-phat)/n)

E = 1.96*sqrt(0.36*(1-0.36)/100)

E = 0.09408

This value of E is approximate because z = 1.96 is approximate.

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

L = lower bound

L = phat - E

L = 0.36 - 0.09408

L = 0.26592

L = 0.2659

U = upper bound

U = phat + E

U = 0.36 + 0.09408

U = 0.45408

U = 0.4541

The values of L and U are approximate since E is approximate.

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

The confidence interval in the format (L, U) is (0.2659, 0.4541)

This is equivalent to writing 0.2659 < p < 0.4541

which is the format L < p < U

We're 95% confident that the true population proportion (p) is somewhere between 0.2659 and 0.4541; i.e. we're 95% confident the true percentage of people who had kids is somewhere between 26.59% and 45.41%

Answer:

1/72

Step-by-step explanation:

16 * 18 = 288

4/288 = 1/72

[tex]=================================[/tex]

Option A is correct & here's why.

When dividing fractions, we take the first fraction and multiply it times the reciprocal of the second fraction (the second fraction flopped over)

So if we have 1/4, then its reciprocal is 4/1, or just 4.

Hence, Option A (1/5÷4) is correct.

[tex]==============================[/tex]

~DiamonD~

Answer:

12,600

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

Together they equal 7/12

The different is 5/12

5/12 = .416666 =.42

.42 x 30,000 = 12,600

Answer:

[tex](4x+7)(4x-7)[/tex]

Step by step explanation:

[tex]16x^2 -49\\\\=(4x)^2-7^2\\\\=(4x+7)(4x-7)~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)][/tex]

Answer:

-9/14

Step-by-step explanation:

Hey there!

Guide:

• Difference means subtract/subtraction
• Product means multiply/multiplication
• Sum means add/addition
• Quotient means divide/division

• Now that we know what “product” means… we can make the question/equation easier to solve.

3/4 × -6/7

= 3(-6) / 4(7)

= -18 / 28

= -18 ÷ 2 / 28 ÷ 2

= -9 / 14

Therefore, your answer is: -9/14

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

Answer: x-3

Step-by-step explanation:

It’s a variable

Answer:

min250 max507 Q1=307  Q2=255  Q3=435

Step-by-step explanation:

The five-number summary of this data set is {250, 255, 307, 435, 507}

Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.

Thus, we get;

[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]

We are given that;

The data set= {425, 255, 267, 507, 307, 435, 253, 250, 433}

Now,

The five-number summary of a data set consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum12.

To find the five-number summary of this data set, follow these steps:

Put the numbers in ascending order: {250, 253, 255, 267, 307, 425, 433, 435, 507}

Find the minimum: The smallest number is 250

Find the maximum: The largest number is 507

Find the median: The middle number is 307

Find Q1: The median of the lower half of the data is 255

Find Q3: The median of the upper half of the data is 435

Therefore, by the mean the answer will be {250, 255, 307, 435, 507}

Learn more about mean here:

https://brainly.com/question/16118626

#SPJ3

Answer:

15 outfits

Step-by-step explanation:

Given

Probability : No. of outfits

P.S. Sorry I couldn't create the probability table.

Answer:

b=10

C=99

D=140

Step-by-step explanation:

because it’s a parallelogram

Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.

Weight:

Using this formula

Chocolate weight=Current weight-Actual weight

Where:

Current weight=0.384

Actual weight=0.3798

Let plug in the formula

Chocolate weight=0.384-0.3798

Chocolate weight=0.0042 ounce

In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.

Answer:  49.44807

Round that however you need to. Unfortunately the rounding instructions on the screenshot are cut off, so I cannot see what that part says.

=======================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(22) = h/132

h = 132*sin(22)

h = 49.44807

Step-by-step explanation:

We are trying to find $40 on sale for 20$ off.

40*20/100

40*0.2

You save=$8

40-8

Final Price=$32

Answer:

C. Reflection, translation

Step-by-step explanation:

If we compare Figure A to Figure B, you might notice that they mirror each other. This means that Figure A was reflected. Now, if we take a look at Figure B and Figure C, you should see that both figures are the exact same shape, size, and facing the same direction. The only thing that changed was the location. So, this means that Figure B was translated.

I hope this helps! Have a lovely day!! :)

Answer:

As it ایس the correct answer is 45

78

7.90

Answer:

Its me Viktor Kozhanov may I have brainliest pleaseI also answered all you questions so give brainliest to those as well

Step-by-step explanation:

Answer:

its 60, need proof?

Step-by-step explanation:

Answer: 60

Step-by-step explanation: I took the test and got it right. Goodluck with the rest!