Who can answer this for me please

Answer:

Step-by-step explanation:

Given the expression \(log_81000 = log_210\), to prove this expression is true using the properties of logarithm, we will follow the following steps.

Starting from the Left Hand Side:

Answer:

false

Step-by-step explanation:

I think it's false but I don't really remember, but I would go with someones else answer cause I'm not sure

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

Answer:

area of ABC=1/2 b×h=1/2×20×6=30m²

Answer:

60 m^2

Step-by-step explanation:

( Base * Hight / 2 = Area)

20 * 6 = 120

120 / 2 = 60

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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The surface areas of the figures are 336, 82 and 836

From the question, we have the following parameters that can be used in our computation:

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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By calculation, Irina should do 10 reps in each set

From the question, we have the following parameters that can be used in our computation:

Sets = 8 reps

Increment = 25%

This means that

Reps = Sets * (1 + Increment)

substitute the known values in the above equation, so, we have the following representation

Reps = 8 * (1 + 25%)

Evaluate

Reps = 10

Hence, Irina should do 10 reps in each set

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(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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Answer: Quadrant I

Step-by-step explanation:

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The table for the given rule y= x+0.6 is 2.4, 3.6, and 1.4 respectively.

Rule: y= x+0.6

To find the missing values for x:

x y

__    3

__    4.2

__    2

Substitute the given values of y into the rule and solve for x:

When y = 3:

3 = x + 0.6

2.4 = x

When y = 4.2:

4.2 = x + 0.6

3.6 = x

When y = 2:

2 = x + 0.6

1.4 = x

Thus, the completed table is:

x y

2.4 3

3.6 4.2

1.4 2

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Answer:

4×4×4 =

16×4=

64 in^3(cu.in)

Step-by-step explanation:

4. because it's the highest number your can evenly divide both numbers by

the value of x that makes ΔDEF similar to ΔXYZ is 3.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

Fot the triangles similar, the dimension of the sides of each triangle must be proportional to each other.

Hence, for ΔDEF similar to ΔXYZ;

Side ED / side DF = Side YX / side XZ

From the image;

Plug in the values

Side ED / side DF = Side YX / side XZ

2 / (5x - 11) = 8 / 16

Cross multiply and solve for x

8( 5x - 11 ) = 2 × 16

8 × 5x - 8 × 11 = 32

40x - 88 = 32

40x = 32 + 88

40x = 120

x = 120/40

x = 3

Therefore, the value of x is 3.

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Answer:

Step-by-step explanation:

Using

Point A: x= 1 and y=3

And point B: x=-2 and y=-6

use equation of slope and substitute the values

Slope= YB-YA/Xb-Xa

= -6-3/-2-1

=3

Answer:

Step-by-step explanation:

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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The volume (V) of a cylinder is π (r^2) (h). Substituting in the known values, you get V = 3.14 times 64 times 8, which is 1607.68 cubic units.

Each deck has 52 cards in it. If Linda has c decks of cards, then the expression for the total number of cards that she has is

52 x c

= 52c

Answer:

28

Step-by-step explanation:

50-22=28

Answer:

207

Step-by-step explanation:

I am learning something different, but I used what im learning to answer your question.

So basically have 8 represent g in the problom. you will then multiply 1.50 by 8 and get 195. Add 12 and you get 207

It would look like this; 1.50 x 8 +195

                                        12+195

                                          207

An expression is defined as a set of numbers, variables, and mathematical operations. The given expressions can be solved as shown below.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expressions can be solved as,

A.)  5³ · 5⁻⁴

     = 5⁻¹

The value will lie between 0 and 1.

B.) 3⁵/3⁻⁶

    = 3⁵ · 3⁶

    = 3¹¹

The value will not lie between 0 and 1.

C.) (1/4)³ · (1/4)²

    = (1/4)⁵

    = 4⁻⁵

The value will lie between 0 and 1.

D.) (-7)⁵/(-7)⁷

     = (-7)⁵ · (-7)⁻⁷

     = (-7)⁻²

The value will lie between 0 and 1.

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Answer:

8

Step-by-step explanation:

=z²-3z+4 when z is 4

=4²-3(4)+4

=16-12+4

=8

The vertex for f(x) = -(x + 4)² + 2 is a maximum

The vertex for g(x) = (x - 2)² - 2 is a minimum

The vertex form of the equation of a parabola is given as:

y = a(x - h)² + k

where (h, k) is the vertex of the parabola

If a > 0, the vertex of the parabola is a minimum

If a < 0, the vertex of the parabola is a maximum

The given functions are:

f(x) = -(x + 4)² + 2

g(x) = (x - 2)² - 2

Comparing f(x) = -(x + 4)² + 2 with y = a(x - h)² + k

a = -1

Since a < 0, the vertex of the function f(x) = -(x + 4)² + 2 is a maximum point

Comparing g(x) = (x - 2)² - 2 with y = a(x - h)² + k

a = 1

Since a > 0, the vertex of the function g(x) = (x - 2)² - 2 is a minimum point.

Answer:

please give 5 star I really need it thanks

The function represents a continuous function because it can be measured and not counted.

The domain is; x ≤ 19 gallons

The range is ; d(x) ≤ 323 miles

We are given the function that represents the distance d(x) in miles that the car can travel with x gallons of gasoline as;

d(x) = 17x

A) The Independent Variable is Number of gallons of gasoline used while the dependent variable is the distance that the car travels.

B) Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting. Continuous data includes complex numbers and varying data values measured over a particular time interval.

Thus, the situation represents a continuous function because it can be measured and not counted.

C) The domain is the set of all possible input values. You have 19 gallons and so the domain is; x ≤ 19 gallons

The range is the set of all possible output values. Thus, the range is;

d(x) ≤ (19 * 17)

d(x) ≤ 323 miles

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