Select all the equations where a=8 is a solution.
Choose 3 answers:



A
a+11=15


B
1=8÷a


C
15+a=23


D
42=7a

E
a-5=3

log₅(-25) is undefined

Since the logarithmic function y = logₐ(x)  is the inverse  of the exponential function,

As the base is positive so x must also be positive

The logarithm of the real base of negative numbers is undefined.

Hence, log₅(-25) is undefined

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To determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.0001, we need to use the alternating series remainder theorem.

The alternating series remainder theorem states that the error in approximating the sum of an alternating series is less than or equal to the absolute value of the next term in the series.

Let's assume the series is given by S = a₁ - a₂ + a₃ - a₄ + a₅ - ...

To find the smallest number of terms required to approximate the sum of the series with an error of less than 0.0001, we need to find the smallest value of n such that the absolute value of the (n+1)th term, |aₙ₊₁|, is less than 0.0001.

This can be expressed as:

|aₙ₊₁| < 0.0001

By finding the value of n that satisfies this condition, we can determine the smallest number of terms required.

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Answer:

B.

Step-by-step explanation:

Make a ratio equation:

12 : 4.8 = 16 : x

\(\frac{12}{4.8} = \frac{16}{x}\)

Cross multiply:

12x = 76.8

x = 6.4

The most realistic value for the standard deviation is d) 4.

Since adult weights follow a bell-shaped distribution, we can assume a normal distribution. We know the range is from 55 to 80 pounds with a mean of 66 pounds. The standard deviation determines how spread out the data is from the mean. If the distribution is more spread out, then the standard deviation will be higher. Given the range of weights, a standard deviation of 4 seems like a reasonable value as it would allow for some variability in the weights while keeping them within the observed range. Values such as 100 billion or even 45 would not be realistic as they are too large and would imply a highly variable and skewed distribution.

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Answer:

wanna see my pokemon cards

Step-by-step explanation:

Answer:They need 19,000 more

Step-by-step explanation:

The EOQ for premium tires, rounded to 2 decimal places is  468.06 tires.

To determine the Economic Order Quantity (EOQ) for the premium tires,  use the EOQ formula:

EOQ = √((2 ×D × S) / H)

where:

D = Annual demand (number of premium tires required annually) = 10,000

S = Ordering cost per order = $200 (since both products are ordered together)

H = Holding cost per unit = 20% of the cost of an item = 0.20 × $90 = $18

Substituting the values into the formula:

EOQ = √((2 × 10,000 × 200) / 18)

Calculating this expression us the EOQ for the premium tires. Rounding the answer to 2 decimal places:

EOQ ≈ 468.06

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The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle of elevation = 36 degree

Horizontal distance of 275 meters from the base of the skyscraper

From the tan ratio:

tan36 = x/275

x = 275(tan36)

x = 199.79 meters

The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters

Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º

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Answer:I just got it wrong the answer is 201.49

Step-by-step explanation:

Answer:

r = su/tv

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

su = rtv

Step 2: Solve for r

Answer:

±i sqrt(13) = x

Step-by-step explanation:

h(x) = 2x^2 + 26

Set equal to zero to find the roots

0  = 2x^2 + 26

Subtract 26 from each side

-26 = 2x^2

Divide by 2

-13 = x^2

Take the square root of each side

±sqrt(-13) = sqrt(x^2)

±sqrt(-1) sqrt(13) = x

The sqrt(-1) = i, the imaginary number

±i sqrt(13) = x

Answer:

x = i√13 and -i√13

Step-by-step explanation:

The roots are imaginary because the parabola does not cross the x-axis

2x²+26 = 0

2(x² + 13) = 0

x² = -13

x = i√13 and -i√13

Answer:

X+2=2x

x+8=8x

(2x).(8x)=16x

Answer:

74 papers

Step-by-step explanation:

100-26

Answer:

126 papers he has

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Rate or proportion shows the relationship between the variation in the  number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs = \(\frac{9}{14}\) x 308

                                                = 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

                                                                                         = 110

Thus, there are 110 songs that are NOT alternative songs.

Answer:

8/45 or 0.177...... (the seven continues forever).

Step-by-step explanation:

8/9 ÷ 5

First, turn 5 into a fraction. That will be 5/1

8/9 ÷ 5/1

When you're dividing fractions, you flip the second fraction and turn the division sign to a mutiplication sign

8/9 ÷ 1/5

8/9 * 1/5

Now you multiply. We will multiply the numerator and then the denominators through since there are no common factors.

8 * 1/9 * 5

8/45

Answer:

75

Step-by-step explanation:

Answer:

x=116°

Step-by-step explanation:

180° - 64° = 116°

Answer:

\(-\frac{4}{5}\)

Step-by-step explanation:

4x+5y=-6

the goal is to get y on one side and everything else on the other side

step 1 subtract 4x from each side

4x-4x cancels out

now we have

5y=-4x-6

step 2 divide each side by 5

5/5 cancels out

now we have

\(y=\frac{-4}{5}x + \frac{6}{5}\)

we can conclude that the slope is

\(-\frac{4}{5}\)

hope this helps :)

The length that will give a plot with the maximum area allowed is 6 meters.

To find the length that will give a plot with the maximum area, we need to use the formula for the area of a rectangle, which is A = lw, where A is the area, l is the length, and w is the width. In this case, we are given that the area is 45 square meters, and the width is 7.5 meters.

Substituting these values into the formula, we get:

45 = l(7.5)

To solve for l, we divide both sides by 7.5:

l = 45/7.5

Simplifying, we get:

l = 6

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Answer:

Petter Sydow : A producer of division.

Step-by-step explanation:

Answer: Johann Heinrich Rahn

It was introduced by the Swiss mathematician, Johann Heinrich Rahn, in his work Teutsche Algebra (1659). This symbol was not much of a success in his home country of Switzerland or in Europe. But however, it was in both the Britain and also the USA.

The amount in the account if the interest is compounded daily, hourly, every minute, and every second is $4,082.79, $4,089.73, $4,090.93, and $4,091.02, respectively.

The formula for the amount A after t years with an initial investment P and interest rate r compounded n times per year is:

\(A = P(1 + r/n)^(^n^t^)\)

where t is the number of years, n is the number of compoundings per year, and r is the annual interest rate.

(a) Compounded daily, n = 365, so the amount is:

A = 3000(1 + 0.04/365)^(365*10) = $4,082.79

(b) Compounded hourly, n = 365*24, so the amount is:

\(A = 3000(1 + 0.04/(36524))^(^3^6^5^2^4^*^1^0^)\)= $4,089.73

(c) Compounded every minute, n = 3652460, so the amount is:

\(A = 3000(1 + 0.04/(3652460))^(^3^6^5^2^4^6^0^*^1^0^)\) = $4,090.93

(d) Compounded every second, n = 3652460*60, so the amount is:

A = \(3000(1 + 0.04/(365246060))^(^3^6^5^2^4^6^0^6^0^*^1^0^)\) = $4,091.02

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Answer: 6,130,000

Step-by-step explanation:

No work needed

x=-8 All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given

The area of the considered triangle RST is given by: Option A: 9 sq. units.

If we have:

Then we get:

Area of a triangle = \(\dfrac{b \times h}{2} \: \rm unit^2\)

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = \(\dfrac{6 \times 3}{2} = 9 \: \rm unit^2\)

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

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Step-by-step explanation:

this might help you out..

Answer:

The length would have to be 9, and the width 1

Step-by-step explanation:

l*W 9*1=9

Answer:

see the attachment photo!

The probability of having 4 successes in 5 trials, where the probability of success on each trial is 0.2, can be calculated using the binomial probability formula. The main answer is that the probability is approximately 0.0262.

To explain further, let's break down the calculation. The binomial probability formula is P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) represents the probability of having x successes in n trials, C(n, x) is the number of combinations of n items taken x at a time, p is the probability of success on each trial, and (1-p) is the probability of failure on each trial.

In this case, x = 4, n = 5, and p = 0.2. Plugging these values into the formula, we get P(4) = C(5, 4) * 0.2^4 * (1-0.2)^(5-4). Calculating further, C(5, 4) = 5 (since there are 5 ways to choose 4 items out of 5), 0.2^4 = 0.0016, and (1-0.2)^(5-4) = 0.8^1 = 0.8. Multiplying these values, we find P(4) = 5 * 0.0016 * 0.8 = 0.0064.

Therefore, the probability of having 4 successes in 5 trials with a success probability of 0.2 is approximately 0.0064 or 0.64%.

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Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

Answer:

66°

Step-by-step explanation:

B = (-4, -3)

C = (0, -3)

D = (0, -2)

E = (-4, -2)