One-third of a number decreased by six equals eight. What is the number?
6
14
24
042

Answer:

The probability is 1/8

Step-by-step explanation:

We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:

Probability = Number of nectarines / Total pieces = 2 / 16

To find the fraction in the simplest form, we divide the numerator and denominator by 2:

Probability = (2/2) / (16/2) = 1/8

Answer:

its actually 3/8 trust me

Step-by-step explanation:

The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

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The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The amount of the first 2 terms of a remarkable grouping is 135 and the amount of the third and fourth terms is 60. Then the equations are given below.

a + ar = 136                 ...1

ar² + ar³ = 60

r²(a + ar) = 60               ...2

From equations 1 and 2, then we have

r² x 135 = 60

r² = 60/135

r² = 4/9

r = 2/3

Then the value of 'a' is given as,

a + (2/3)a = 135

a = 81

Then the least number of terms for which the sum exceeds 240 will be given as,

Sₙ > [a₁ (1 - rⁿ)] / (1 - r)

240 > [81(1 - 0.66ⁿ)] / (1 - 0.66)

240 > 243(1 - 0.66ⁿ)

0.9876 > 1 - 0.66ⁿ

0.66ⁿ > 1 - 0.9876

n log 0.66 > log 0.012345

n > 10.57

n = 11

The common ratio and the 1st term will be 2/3 and 81. And the least number of terms for which the sum exceeds 240 will be 11.

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Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

Answer:

You have reached the concluding section of our information about (7/60)×π rad to deg.

7pi/60 rad = 21°.

The radian measure is the standard unit of measure in the areas of math involving a circle like the sine and cosine function, just to name two trigonometric functions.

Using our calculator, formula and information, you have everything for changing the angle measurement at your disposal.

If you have found our post searching for 7pi/60 radian to degrees or a similar term, then you have gotten your answer as well: 7pi/60 rad ⇔ 21°.

Answer:210

Step-by-step explanation: took the test

Answer:

\( \frac{20}{101} \)

Step-by-step explanation:

I hope this helps

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

154 degrees

Step-by-step explanation:

A quadrilateral has the sum of the interior angles that is 360 degrees

for the tangent theorem we know that the angles where the lines intercept the circumference have a value of 90 degrees

x + 90 + 90 + 26 = 360

x + 206 = 360

x = 360 - 206

x = 154 degrees

When conducting a two-tailed test of a population mean with a sample size of n = 18, the critical values at the ? = 0.05 level of significance are ±2.101.

To find the critical values, we can use a t-distribution table or a calculator that has a t-distribution function. The degrees of freedom for this problem are df = n - 1 = 18 - 1 = 17.

Using the t-distribution table, we can find that the critical value for the lower tail is -2.110 and the critical value for the upper tail is +2.110. However, since we are conducting a two-tailed test, we need to find the critical values that cut off 2.5% of the area in each tail.

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The simplified expression is simply cos θ

To simplify the trigonometric expression cos θcscθ/cot θ, we can use the reciprocal identities and quotient identity.

Reciprocal identities:
csc θ = 1/sin θ
cot θ = 1/tan θ

Quotient identity:
tan θ = sin θ/cos θ

Using these identities, we can rewrite the expression as:

cos θ * (1/sin θ) / (1/tan θ)

Next, we can simplify the expression by multiplying the numerator and denominator by the reciprocal of the denominator:

cos θ * (1/sin θ) * (tan θ/1)

Simplifying further, we have:

cos θ * tan θ / sin θ

Finally, we can simplify by using the identity:

tan θ = sin θ/cos θ

cos θ * (sin θ/cos θ) / sin θ

Canceling out the sin θ in the numerator and denominator, we are left with:

cos θ / 1

Therefore, the simplified expression is simply cos θ.

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The simplified form of the trigonometric expression \(\[\frac{\cos(\theta) \csc(\theta)}{\cot(\theta)}\]\) is cos(θ).

To simplify the trigonometric expression \(\[\frac{\cos(\theta) \csc(\theta)}{\cot(\theta)}\]\), we can use the trigonometric identities to rewrite each trigonometric function in terms of sine and cosine.

Recall the following trigonometric identities:

\(\[ \csc(\theta) = \frac{1}{\sin(\theta)} \]\)

\(\[ \cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)} \]\)

Substituting these identities into the expression, we have:

\(\[ \cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)} \]\)

Next, we can simplify by multiplying the numerator by the reciprocal of the denominator:

\(\[\frac{{\cos(\theta) \csc(\theta)}}{{\cot(\theta)}} = \cos(\theta) \left(\frac{1}{{\sin(\theta)}}\right) \left(\frac{{\sin(\theta)}}{{\cos(\theta)}}\right)\]\)

The sin(θ) in the numerator cancels out with the sin(θ) in the denominator:

\(\[\frac{\cos(\theta) \csc(\theta)}{\cot(\theta)} = \cos(\theta) \cdot 1\]\)

\(\[\frac{\cos(\theta) \csc(\theta)}{\cot(\theta)}\] = cos(\theta)\)

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Step-by-step explanation:

1160 divided by 8 is 145

so 1164 tecnically can't be divided by 8 normally so it comes in decimal form .

Answer:

1160 divided by 8 is 145

Step-by-step explanation:

but yah

Answer:

in my knowledge

26 , 31 , 36 , 41 , 46

rule:5

cause 26+5=31

31+5=36

36+5=41

41+5=46 and so on...

Answer: as per question statement

we need to set up an equation first

p(t)=1200e(0.052*t)

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

P(6)=1200e(0.052*6)=1639.38

1638.38 bacteria were present at that time t=6

Step-by-step explanation: I hope this helps.

Answer:H

Step-by-step explanation:

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

Answer:

C

Step-by-step explanation:

Simplify both sides for each of the choices. If your numbers for both sides are equal, then it is TRUE. If the numbers for both of the sides are not equal, then it is NOT TRUE.

A. 7 + 7 = 19 - 5

--> 14 = 14

--> TRUE

B. 9 + 9 = 11 + 7

--> 18 = 18

--> TRUE

C. 19 = 13 + 5

--> 19 = 18

--> NOT TRUE

D. 20 - 12 = 4 + 4

--> 8 = 8

--> TRUE

Therefore the answer is C.

I hope this helps! :D

The number of degrees of​ freedom is 19 when the sample size is 20.

Given:

Sample size of the first sample, n₁ = 20

Sample size of the second sample, n₂ = 20

Utilizing counts of differences between paired observations from the two groups, one can determine the degrees of freedom of two related populations.

In paired data, each group has an equal number of observations (n = n1 = n2).

Here we have n = n₁ = n₂= 20

The degree of freedom is,

df = n - 1

    = 20 - 1

    = 19

So, the number of degrees of​ freedom is 19 when the sample size is 20.

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The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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The lines would be parallel to demonstrate that there is no interaction between the independent variables.

Here, it has been mentioned that data from a factorial design is plotted on the graph. We already know that the results of factorial experiments with two independent variables, x and y,  can be represented on the graph where one independent variable is represented on the x-axis and the other is represented by using different colored lines. The y-axis is reserved for the dependent variables.

From the question, we know that there has been no interaction between the independent variables. An interaction means that one variable depended on the other. since that is not happening, It means the lines won't touch each other.

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Answer:

I D K

Step-by-step explanation:

Answer:A

Step-by-step explanation:

okay i saw on a video .i see the right won A

Answer:

2^8=256

Step-by-step explanation:

Multiply the exponents and simplify

The quotient when (x³ + 8) is divided by   (x+2) is (x² - 2x + 4)

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial. Using Descartes' Rule of Signs, the degree is used to calculate the greatest number of polynomial problem solutions.

The polynomials are (x³ + 8) and (x+2)

                         dividing  (x³ + 8) by  (x+2) we get,

                                     x + 2 ) x³ + 8 ( x² - 2x + 4

                                              - x³ - 2x²

                                                    -2x² + 8

                                                     2x² +4x

                                                              4x + 8

                                                             -4x - 8

                                                                  0

The quotient when (x³ + 8) is divided by   (x+2) is (x² - 2x + 4)

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Answer:

x = -19

Step-by-step explanation:

\(\frac{x-26}{-9}=5\)

Multiply both sides of the equation by -9.

\(\frac{\left(x-26\right)\left(-9\right)}{-9}=5\left(-9\right)\)

x - 26 = -45

Add 26 to both sides.

x - 26 + 26 = -45 + 26

x = -19