64° 42 °
xº
48°

Find the value of x

Reason:

If we were asked to compute log(ab), then we could use this log rule

log(ab) = log(a) + log(b)

However, we aren't multiplying the 'a' and b, so we cannot use the log rule above. There's not enough information to be able to compute log(a+b)

Choice C is a trick answer I've seen many students fall for since the erroneous thinking would be log(a+b) = log(a)+log(b) = 1.2+5.6 = 6.8

Answer:

  b) Not enough information

Step-by-step explanation:

Given the logs of two values, you want to know the log of their sum.

The logarithm function cannot be applied to a sum. The purpose of the logarithm function is to turn the log of a product into a sum of logs. The logarithm function cannot be applied to a sum.

The only way to determine the log of the sum is to take the antilogs of the given values, add them, then take the log of the result.

Assuming the base of the logarithms is 10, using the strategy just described, we can compute ...

  log(a +b) = log(10^log(a) +10^log(b)) = log(10^1.2 +10^5.6)

  ≈ log(15.848932 +398,107.17) ≈ log(398,123.02)

  ≈ 5.6000173 . . . . using base 10 logs

If these are natural logs, which are also often written as log(x), as well as ln(x), then the log of the sum is about

  log(e^1.2 +e^5.6) ≈ 5.6122026 . . . . using base e logs

The short answer is, there is not enough information. (The base of the logarithms must be known.)

Answer:

Step-by-step explanation:

The pyramid's surface area is = 409.6 cm2.

The provided pyramid's surface area is equal to its square base plus its lateral sides.

The square base's area is given by (Side)2

= (8)2

= 64 cm2.

Area of the lateral side = 1/2 (Lateral height)(Base)

= √4² + (9.2)

2 [By applying Pythagoras theorem]

82.81+36

= √100.64

= 10.8 cm

Area of the lateral side = (8)(10.8)

= 86.4 cm²

The provided pyramid's surface area is calculated as follows:

Area of the base + 4(Area of one lateral side)

= 64 + 4(86.4)

= 409.6 cm2.

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Total distance travelled by the honey bee is 4km and honeybee’s displacement is 0

Displacement is defined as the shortest distance travelled by the object.

According to the question we have been given that the honeybee travelled 2km before returning to the hive.

Thus the total distance travelled by the honeybee is = 2 + 2 km

                                                                                             = 4 km

And the honeybee’s displacement = 0

Because the bee has returned to the same from where she had left and displacement is a vector quantity that has magnitude and direction and depends upon the initial and final position. So as the initial and final destination is same for the honeybee. Thus the displacement will be zero.

Hence total distance = 4km

And displacement = 0

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Answer:

5 1/3

Step-by-step explanation:

Apply +133.3% to the sides

It is necessary that the for complementary angles then their measures sum to 90 degree.

According to the statement

We have to explain all about the complementary angles.

So, For this purpose, we know that the

Complementary angles are pair angles with the sum of 90 degrees.

From the given information:

We have to prove that the If two angles complementary, then their measures sum to 90.

Then

Contrapositive of p → q is ~q → ~p where p is that the hypothesis and q is that the conclusion.

Hypothesis (p) = Two angles are complementary

~p = Two angles aren't complementary

Conclusion (q) = The sum of their measures is 90°

~q = The sum of their measures isn't 90°

~ p → ~q = If the sum of the measures of two angles isn't 90°,

then they're not complementary angle.

So, It is necessary that the for complementary angles then their measures sum to 90 degree.

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Answer:

It is the last answer shown where the absolute value of -4 is the greatest

-2.47, -2, -1 3/4, -3/8, | -4 |

Step-by-step explanation:

Absolute value indicates how far away a value is from zero.  The sign is not relevant in that context.

Using division of polynomials, the equation of the slant asymptote of the rational function is given by:

y = 2x - 3.

Suppose a rational function given by a division of two functions, as follows:

r(x) = f(x)/g(x).

The slant asymptote of the function is nothing more than the quotient of functions f(x) and g(x), that is, the division of functions f(x) and g(x).

For this problem, the function is:

r(x) = (10x³ - 15x² + x - 1)/(5x² - 1).

Hence:

Using a calculator, the division of these two functions is:

y = 2x - 3 + (3x - 4)/(5x² - 1)

3x - 4 is the remainder, but we consider only the quotient, hence the equation of the slant asymptote of the rational function is given by:

y = 2x - 3.

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Step-by-step explanation:

a=2

d=12-7=5

[tex]sn = \frac{n(2a + (n - 1)d)}{2} \\ s69 = \frac{69(2(2) + (69 - 1) \times 5)}{2} \\ s69 = 11868[/tex]

HOPE THIS HELPS!!

Answer:

You can multiply 10 to get each place value 9 x 10 = 90

90 x 10 = 9000

9000 x 10 = 90,000

Step-by-step explanation:

Sorry if it doesn't help

The inches below average was the precipitation for both March and April is 6 1/4 inches

From the information given, the precipitation for the month of March was 4 3/4 inches less than average. In April, the precipitation was 1 1/2 inches less than average.

Therefore, the inches below average will be:

= 4 3/4 + 1 1/2

= 4 3/4 + 1 2/4

= 6 1/4

The inches is 6 1/4 inches.

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14

Step-by-step explanation:

4pq² + (-7)pq² +5p

Evaluate for p=7,q=1

(4)(7)(1²)+((−7)(7))(1²)+(5)(7)

(4)(7)(1²)+((−7)(7))(1²)+(5)(7)

=14

If the Sharks had 16 swim meets in all, they won 10 swims.

Given,

Regan swims for the Sharks swim team. Last season, the Sharks won 5 swim meets for every 3 they lost.

We need to find out if the Sharks had 16 swim meets in all, and how many did they win.

Example:

2 cups = 4 eggs

To find for 4 cups.

We need to multiply 2 so that 2 cups becomes 4 cups.

4 cups = 2 x 4 eggs = 8 eggs

We have,

5 sims own for every 3 swims lost.

We can write it as:

5 own = 3 lost

Multiply 2 on both sides

2 x 5 own = 2 x 3 lost

10 own = 6 lost

We have,

16 swims in total.

It can be written as,

10 own = 6 lost

And we see that,

10 + 6 = 16 swims

Thus,

If the Sharks had 16 swim meets in all, they won 10 swims.

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The probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

What is Probability ?

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability Formula = f/n

where,

f is the number of times an event occurs

n is the total number of trial

The probability is represented as:

P(Large | Hot)

This is calculated using:

P(Large | Hot) = n(Large and hot)/n(hot)

Using the data on the given table, we have:

P(Large | Hot)  = 22/(8 + 12 + 5)

P(Large | Hot)  = 0.88

In percentage

P(Large | Hot)  = 88%

Hence, the probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

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Answer:

16

Step-by-step explanation:

Answer:

teacher guided 1 in a book

Step-by-step explanation:

Answer:

[tex] \{x|x \neq -2, -1 \}[/tex]

Step-by-step explanation:

The denominator cannot equal 0 because division by zero is undefined.

[tex]x^2 + 3x+2 \neq 0 \implies (x+1)(x+2) \neq 0 \implies x \neq -1, -2[/tex]

[tex]\therefore \{x|x \neq -2, -1 \}[/tex]

Answer:

[tex] \{x|x \neq -2, -1 \}[/tex]

Step-by-step explanation:

The denominator cannot equal 0 because division by zero is undefined.

[tex]x^2 + 3x+2 \neq 0 \implies (x+1)(x+2) \neq 0 \implies x \neq -1, -2[/tex]

[tex]\therefore \{x|x \neq -2, -1 \}[/tex]

Hello!

[tex]\frac{14c}{12c}[/tex] simplified to lowest terms is [tex]\frac{7c}{6c}[/tex]

Step-by-step explanation:

Other simplified versions of the expression is [tex]\frac{7}{6}[/tex], [tex]1.16[/tex], 1 [tex]\frac{1}{6}[/tex]

Hope this helps!

Exponentiation is a mathematical operation denoted by the symbol bn that consists of two numbers, the base b, and the exponent or power n, and is pronounced as "b (raised) to the (power of) n."

[tex]b^n=\underbrace{b \times b \times \cdots \times b \times b}_{n \text { times }}[/tex]

[tex]\begin{aligned}b^{n+m} &=\underbrace{b \times \cdots \times b}_{n+m \text { times }} \\&=\underbrace{b \times \cdots \times b}_{n \text { times }} \times \underbrace{b \times \cdots \times b}_{m \text { times }} \\&=b^n \times b^m\end{aligned}[/tex]

Therefore, exponentiation is a mathematical operation denoted by the symbol bn that consists of two numbers, the base b, and the exponent or power n, and is pronounced as "b (raised) to the (power of) n."

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The capacity for the Bowden and Marshfield Stadiums are 101, 954 and 108, 381 respectively.

Let the Bowden Stadium be x

From the information given, we have that;

This can be represented as;

x +  x +  6,427 = 210,355

collect like terms

2x + 6427 = 210,355

2x = 210, 335 - 6427

2x = 203, 908

Make 'x' the subject

2x/2 = 203, 908/ 2

x = 101, 954

Then,

Bowden Stadium  = x =  101, 954

Marshfield Stadium = x +  6,427 = 101, 954  + 6,427  = 108, 381

Thus, the capacity for the Bowden and Marshfield Stadiums are 101, 954 and 108, 381 respectively.

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In the counting of numbers from 2 to 99, the digit 9 appears 20 times.

To identify how many times the digit 9 appears, we can first list the numbers we know have a 9 in them:

9, 19, 29, 39, 49, 59, 69, 79, 89, 99

Although we've identified these numbers, we are not finished. Numbers in the 90s also qualify as digits of 9. Therefore, these numbers also are included:

91, 92, 93, 94, 95, 96, 97, 98

Now that we have all the numbers from 1 to 99 with the digit 9 in them, we can count up how many numbers there are with consideration that the number 99 also has two digits of 9 in it:

[(10 + 8) + 2] = 20

Hence, the digit 9 appears 20 times in the counting numbers from 1 to 99.

Answer:

There are 20 times the digit 9 appears in counting numbers from 1 to 99.

Step-by-step explanation:

To see why this is the case, we can break the counting numbers down into two categories: numbers with a 9 in the units place and numbers without a 9 in the units place.

For the first category, we can count the number of times a 9 appears in the units place by counting from 9 to 99 in increments of 10. There are 10 numbers in this category.

For the second category, we can count the number of times a 9 appears in the tens place by counting from 19 to 99 in increments of 100. There are 10 numbers in this category as well.

Therefore, the total number of times the digit 9 appears in counting numbers from 1 to 99 is 20 times.

Answer: 40

Step-by-step explanation: the answer is only 40 if you are doing addition. and i did 15 + 25. 15 +25 is 25 + 10 = 35+5 =40

1) Two different functions that could represent Davis' gross wages, where h is the number of hours Davis works per week, a(h) is his gross wages at the ice arena minus travel expenses, and d(h) is his gross wages from walking dogs are:

Function A: a(h) = 16.25h - 7.50

Function B: d(h) = 12.50h

2) If Davis works 1 hour, his gross pay at each job is:

    1 Hour      6 Hours

a) $16.25      $97.50

b) $12.50      $75

3) To find Davis' net pay after tax, the modified functions in question 1 are as follows:

Function A: a(h) = (16.25h - 7.50)(1 - 0.105)

Function B: d(h) = 12.50h(1 - 0.18)

4) The domain and range for each of these new functions are:

                          Domain                     Range

a) Function A    [1, 2, ... 7]           [7.83, 15.66, ... 54.81]

b) Function B    [1, 2, ... 12]         [10.25, 20.5, ... 123]

The domain refers to all the possible values of the independent (input) variables.

The range refers to the possible values of the dependent (output) values.

                                            Arena       Dog Walking

Pay rate per hour              $16.25           $12.50

Travel expense                  $7.50            $0

Maximum hours worked    7 hours          10 hours

Gross pay for one hour     $16.25        $12.50

Gross pay for 6 hours       $97.50         $75

After

Tax                                      10.5%           18%

After-tax factor                (1 - 0.105)       (1 - 0.18)

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The net worth of a given family is $227500.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Assets are simply subtracted from liabilities to determine net value. Your money and investments, your home and other properties you own, your automobiles, and any other valuable possessions you own are all considered assets.

Assets = 3,000 + 13,000 +  5,500 + 15,000 + 64,000 + 320,000 + 25,000 + 39,000 = 484500

Liabilities = 500 + 210,000 + 18,000 + 25,000  = 257000

Net worth = Assets - Liabilities

Net worth = $484500- $257000 =  $227500

Thus, the net worth of a given family is $227500.

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Answer:

Step-by-step explanation:

x: boy

y: girl

x+y=89 & 89-(0.2x+0.5y)=55

⇒x+y=89 & 0.2x+0.5y=34

⇒ x=35 & y=54

Answer:   a

Step-by-step explanation:

Answer:

−5.44

Step-by-step explanation:

−7.94 + 2.5

Calculate

−5.44

Answer:

10.5

Step-by-step explanation:

1 + 5 = 6

6 * 7 = 42

3 - 1 = 2

2^2 = 4

42 / 4 = 10.5

Answer:

[tex] = { \rm{ \frac{1 + 5.7}{ {(3 - 1)}^{2} } }} \\ \\ = { \rm{ \frac{1 + 5.7}{4} }} \\ \\ = { \rm{ \frac{6.7}{4} }} \\ \\ = { \rm{1 \frac{27}{40} }}[/tex]

Answer:

the 20th animal

Step-by-step explanation:

we need to find the least number dividable by 4 and 10

20 is the lowest number divided by both

20 divided by 4 = 5

20 divided by 10 = 2