How does the value of log Subscript 2 Baseline 100 compare with the value of Log Subscript 6 Baseline 20?.

Answer:

x = 4

Step-by-step explanation:

plug in -6 to y and you get

4x + -6 = 10

+6 +6

4x = 16

÷4 ÷4

x = 4

then check

4(4) + (-6) = 10

16 + (-6) or 16 - 6 = 10

therefore x = 4

Answer:4 Step-by-step explanation:bc khan

Answer:

zdsczsczscs

Step-by-step explanation:

Answer:

1) 145°

2) 20°

3) x = 7 ; measurement of the missing angle = 24

Step-by-step explanation:

1) supplement = 180°, 180 - 35 = 145

2) complment = 90° , 90 - 70 = 20

3) the figure is a right angle so the measurement is 90°

66 + (4x-4) = 90

62 + 4x = 90

4x = 28

x = 7

4(7) - 4

28 - 4

= 24

Answer: for the 3rd question x = 7

Step-by-step explanation: 4x - 4 + 60 = 90

                                                     +4    -66.    -66

Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 0) / (1 + 2)

2 / 3

= 2/3

Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{k = 3}}}}}\)

Step-by-step explanation:

\( \sf{4.5 + 1.5k = 18 - 3k}\)

Move 3k to left hand side and change it's sign

Similarly, move 4.5 to right hand side and change it's sign

\( \longrightarrow{ \sf{1.5k + 3k = 18 - 4.5}}\)

Collect like terms

\( \longrightarrow{ \sf{4.5k = 18 - 4.5}}\)

Subtract 4.5 from 18

\( \longrightarrow{ \sf{4.5k = 13.5}}\)

Divide both sides by 4.5

\( \longrightarrow{ \sf{ \frac{4.5k}{4.5} = \frac{13.5}{4.5} }}\)

Calculate

\( \longrightarrow{ \sf{k = 3}}\)

Hope I helped!

Best regards! :D

Answer:

k = 3

Step-by-step explanation:

Subtract 4.5 from both sides:

4.5 + 1.5k = 18 - 3k

-4.5            -4.5

1.5k = 13.5 -3k

Subtract -3k from both sides:

1.5k = 13.5 - 3k

+3k             +3k

4.5k = 13.5

Now simplify:

4.5k = 13.5

k = 3

It's (3m + 7) ÷ (n - 27)

Seven more than three times a number m": This can be expressed as 3m + 7.

The number 27 less than n": This can be expressed as n - 27.

The Quotient

(3m + 7) ÷ (n - 27)

Answer:

Step-by-step explanation:

y - 13 = -2(x + 7)

y - 13 = -2x - 14

y = -2x - 1

Answer:

When the two values are different

Step-by-step explanation:

Like in an inequality equation.

For example:

\(4+5x\geq 30\)

The answer would be anything greate than or equal to 30, but you would need to find x. The number line would be very useful

Hope this helps

Answer:

x=29.5

here,

taking x as reference angle,

tan x = p/b

or, tan x = 17/30

or, x = tan^-1(17/30)

therefore x = 29.5

Answer:

=25x-7

Step-by-step explanation:

The true statements about the given graph are :

(b) It is a function.

(c) It does not represent a proportional relationship.

Given a graph.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Here take the set A has the x values and the set B has the y values.

By vertical line test, if we draw a vertical line through any point, the line only touches the graph at one point.

So this is a graph of a function.

Proportional relationships are relationships where the ratios of two y values will be equal.

And they will be linear.

Here the graph is not linear and thus not proportional.

Hence the true statements are b and c.

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The equation is given as follows:

d = 50t.

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

The bird can fly 400 kilometers in 8 hours, hence the velocity is given as follows:

v = 400/8

v = 50 km/h.

Then the equation is given as follows:

d = vt

d = 50t.

The complete problem is:

"An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Write an equation to represent the distance d, in kilometers, of each bird after t hours".

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Answer:

3:4 and 15:20

Step-by-step explanation:

3:4 and 15:20

15/3 = 5

20/4 = 5

Answer:

First finish the brackets

21+9=30

30=30

So, it’s true

Step-by-step explanation:

Answer:

you got the right answer it equals 30

Step-by-step explanation:

i think that is what your asking and the answer is already correct

but you distribute the 3 into the 7 so you would do 3x7+9 and that would give you 30

Answer: d

cause it says its the same

Step-by-step explanation:

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:yes

Step-by-step explanation:

An unreliable study can occur if the test administration is inconsistent

Consistency is the key to success in anything and it implies to the studies and surveys as well. If you want the results of the study to be reliable, then you must be consistent in test administration.

Inconsistency can lead to various issues like improper representation of the feedback which may alter the results. This can lead to various problems.

For example, test performed at certain time may have a different set of people and absence of periodic tests can accommodate feedback from irrelevant people.

Therefore, a proper set schedule must be followed for the tests with consistency.

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It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).

The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.

I/Y (Interest per year) = 2.3%

PV (Present Value) = $12,000

PMT (Periodic Payment) = $0

FV (Future Value) = $20,000

Results:

N = 266.773

266.73 months = 22 years and 3 months (266.73 ÷ 12)

Total Interest = $8,000.00

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The level of measurement used when 100 people are asked the state they were born in and the count for each state is displayed is categorical or nominal level of measurement.

In this scenario, the data collected is categorical because it represents different categories or states in which people were born. The data does not have any inherent numerical value or order associated with it. Each response is simply a label representing a particular state.

Categorical data can be further classified into nominal and ordinal levels of measurement. In this case, the data is at the nominal level because there is no specific order or ranking associated with the states. The counts represent the frequency or occurrence of each state, providing information about the distribution of responses.

The nominal level of measurement allows for the organization and categorization of data into distinct groups or categories. However, it does not provide any quantitative information or allow for mathematical operations such as addition or subtraction. The focus is on the classification and tabulation of data based on different categories or labels, in this case, the states people were born in.

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Answer: 60

Step-by-step explanation: Its just common sense :)

Answer:

x = 11

Step-by-step explanation:

sides are proportional so you can set up a proportional and cross-multiply:

JL is to PQ as LK is to QR

x/22 = 8/16

x/22 = 1/2

2x = 22

x = 11

After 30 years of continuous deposits of $2000 per year into an IRA account earning 5% interest compounded continuously, the account would have $8,966.60. The interest earned is -$51,033.40, indicating a loss. The value of the IRA, when you turn 65, is  $8,966.60.

To calculate the amount in the IRA account after 30 years, we can use the continuous compound interest formula. The formula for the future value (FV) of a continuous income stream is given by:

FV = P * \(e^{(rt)}\)

Where:

P = annual deposit amount

r = interest rate per year (in decimal form)

t = number of years

In this case, the annual deposit amount is $2000, the interest rate is 5% (0.05 in decimal form), and the number of years is 30.

FV = 2000 * \(e^{(0.05 * 30)}\)

Using a calculator, we can calculate the value of \(e^{(0.05 * 30)}\) to be approximately 4.483.

FV = 2000 * 4.483 ≈ $8,966.60

So, the amount in the IRA account after 30 years will be approximately $8,966.60.

To determine the interest earned, we subtract the total amount deposited from the final value:

Interest = FV - (P * t)

Interest = 8,966.60 - (2000 * 30) = 8,966.60 - 60,000 = -$51,033.40

The negative value indicates that the total amount deposited is greater than the final value, resulting in an overall loss of $51,033.40.

The value of the IRA, when you turn 65, is equal to the final amount, which is approximately $8,966.60.

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Step-by-step explanation:

Value from:

1 shilling coins

=

1

(

21

−

3

x

)

=

21

−

3

x

5 shilling coins

=

5

(

2

x

)

=

10

x

10 shilling coins

=

10

(

x

)

=

10

x

Total value

=

72

shillings

i.e.

21

−

3

x

+

10

x

+

10

x

=

72

shillings

−

3

x

+

10

x

+

10

x

=

72

−

21

17

x

=

51

x

=

51

17

x

=

3

∴

Mary has

3 10

shilling coins.

The cost of 11 pounds of watermelon is $8.25.

What is an equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 4x + 8 = 17 consists of the two expressions 4x + 8 and 17, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

The given equation is y = 0.75x, where x represents the number of Pounds of watermelon and y represents the cost of watermelon in dollars.

Putting x = 11 in the equation y = 0.75x:

y = 0.75×11

y = 8.25

The cost of 11-pound watermelon is $8.25.

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