The terms grid, linear, quadrant, zone, and spiral are typically used to describe datum points. True or false?.

Evaluation of logarithm is [tex]log_{64}4 = \frac{1}{3}[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as [tex]log_{a}x[/tex] .

where, a is the base of function or equation

           x define expression

Mathematically, if [tex]a^x = N[/tex] is an exponential function then, this can be converted to logarithmic function as  [tex]log_aN = x[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms :

According to statement,

[tex]log_{64}4\\[/tex]

this equation can be written as

[tex]log_{2^6} 4 \\= > \frac{1}{6}log_24 \\\\ = > \frac{1}{6}log_2{2^2}\\\\= > \frac{1}{6}2log_2{2}\\\\= > \frac{1}{6}. 2 = \frac{1}{3}[/tex]

Thus solution for this equation is [tex]log_{64}4 = \frac{1}{3}[/tex]

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The preferred measure of central tendency for the following data is Mode.

Given,

Number of males = 57

Number of females = 23

The preferred measure of central tendency for the given data is Mode.

Mode

The mode is the number in a set of numbers that appears the most often. The mean of a set of numbers is the sum of all the numbers divided by the number of values in the set.

To find the mode manually, arrange the numbers in ascending or descending order, then count how often each number appears. The number that appears most often is the mode. It's now easy to see which numbers appear most often

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The depth is 0.884 feet when the water flows at 40 ft. / s and the depth is 0.442 feet when the water flows at 20 ft. / s.

We are given the function:

v(x) = √2 g x

where v = velocity

g = gravity's acceleration

x = height / depth of water

Also, we are given that g = 32 ft. / s²

Now, we have v = 40 ft. / s

So, we get that:

40 = √ 2 (32) x

40 / 32 = √ 2 x

5 / 4 = √2 x

x = 5 / 4√2

x = 0.884 feet.

Now, we have v = 20 ft. / s

So, we get that:

20 = √ 2 (32) x

20 / 32 = √ 2 x

5 / 8 = √2 x

x = 5 / 8√2

x = 0.442 feet.

Therefore, we get that, the depth is 0.884 feet when the water flows at 40 ft. / s and the depth is 0.442 feet when the water flows at 20 ft. / s.

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Answer:

The polls were open for 9 hours on election day.

Step-by-step explanation:

10167 - 6504 = 3663

3663 / 407 = 9

The smallest value is 8.

the largest value is 44.

the median is 20.

the first quartile(Q1) is 12.

the third quartile (Q3) is 24

it represents among 100 cars the smallest speed is equal to 8 mph when passing through a busy intersection.

it represents among 100 cars the biggest speed is equal to 44 mph when passing through a busy intersection.

it represents among 100 cars half of them, their speed is equal to or less than 20 mph when passing through a busy intersection.

it represents among 100 cars 25% of  them, their speed is equal to or less than 12 mph when passing through a busy intersection.

it represents among 100 cars half of them, their speed is equal to or less than 20 mph when passing through a busy intersection.

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Answer:almost everywhere.

Step-by-step explanation:

Answer:

1230 minutes

Step-by-step explanation:

All you have to do is multiply 20.5 times 60. Since 60 minutes are in an hour and there is 20.5 hours.

*Please mark brainliest answer

Answer:

[tex]y = 3x -2[/tex]

Step-by-step explanation:

Step 1) Find two points from the graph to work with

I would personally use the points (0, -2) and (1, 1) as they are the most comfortable to work with from the given graph.

Step 2) Find the slope

A function's slope is given by the formula:  [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We can now substitute the coordinates of the points we found in Step 1 in the formula to find the function's slope.

[tex]m = \frac{1 - (-2)}{1 - 0} = \frac 31 = 3[/tex]

Step 3) Find the line's equation

Finally, we can substitute the slope we found in Step 2, as well as one of the points we found in Step 1, into the formula [tex]y - y_1 = m(x - x_1)[/tex] to find the line's equation.

[tex]y - 1 = 3(x - 1)\\\to y - 1 = 3x - 3 \text{ / Add 1}\\\to y = 3x -2[/tex]

The approximate length is 0.62 years or 225 days.

A year is the time it takes for a planet, moon, or other celestial body to make one orbit around the Sun. ( when we take our solar system as an example). In the case of other exoplanets, the celestial bodies, moon, and other planets orbit around the main star. The period of the moon's orbit around the earth is related to the moon.

The reference point is very important in determining the exact length of a year. The length is dependent upon the reference point used for the orbital movement.

Jupiter completes a Single orbit once every 4333 days, due to which one Jupiter year is equivalent to 11.86 earth years.

A year is the time it takes for a planet, moon, or other celestial body to make one orbit around the Sun. ( when we take our solar system as an example). In the case of other exoplanets, the celestial bodies, moon, and other planets orbit around the main star. The period of the moon's orbit around the earth is related to the moon.

The reference point is very important in determining the exact length of a year. The length is dependent upon the reference point used for the orbital movement.

The second, closest planet to our Sun, Venus, completes a Single orbit once every 224.7 days, due to which one Venus year is equivalent to 0.6152 earth years.

Now, if Venus is 0.72 AU away from Sun, then we can calculate the length of the planet's year.

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The volume of crater is 0.0375 km³.

We are given the diameter of crater which is 1 kilometer. Now, the formula to be used for calculation of volume is -

d = 2∛(V÷0.3)

Keep the value of diameter in the formula to find the volume of crater -

1 = 2∛(V÷0.3)

Dividing both sides of the equation by the number 2

1/2 = (2∛(V÷0.3))/2

Solving the equation we get -

0.5 = ∛(V÷0.3)

Taking cube on both sides of the equation

0.5³ = (∛(V÷0.3))³

On solving we get

0.125 = V÷0.3

Shifting 0.3 to numerator on Left Hand Side of the equation

V = 0.125×3

Performing multiplication on Right Hand Side on the equation

V = 0.0375 km³

Hence, the volume of crater is 0.0375 km³.

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[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{0}) \implies y +2= 3 (x -0) \\\\\\ y+2=3x\implies y=3x-2[/tex]

The answer to this question is log₁.₅ 2.5 = 3

A logarithm is the degree to which a number must be raised in order to produce another number. For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 10² = 100.

Let y = log₁.₅ 2.5

We know, logₐ x = y, only if  a^y= x

Therefore, 1.5^y= 2.5

So, we must find an integer y such that 1.5 > 2.5

1.5^y > 2.5

1.5^3 > 2.5

(As, 1.5² = 2.25; 1.5³ = 3.375)

(Since, 1.5² < 2.5, the answer will be 1.5³, as 1.5³ > 2.5)In this case, y = 3 will be the least integer to satisfy this inequality.

Therefore, the the value of the equation log₁.₅ 2.5 is 3

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Lisa can make 16 '3/4 lb' bags of pecans.

Given,

Amount of lbs of pecans Lisa gathered from her backyard = 12 lbs

Amount of lb bags of pecans Lisa going to make for gifts = 3/4 lb

We have to find the number of 3/4 lb bags of pecans Lisa can make:

That is,

Total number of 3/4 lb bags = (Amount gathered from backyard) ÷ (Amount of lb bags going to make for gifts)

= 12 ÷ 3/4

= 12 × 4/3

= 4 × 4

= 16

Therefore, Lisa can make 16 3/4 lb bags of pecans.

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Given the recursive relation:

[tex]a_{n}=-4a_{n-1}[/tex]

[tex]a_{2}=-4a_{2-1} = -4a_{1} = - 4(10) = -40 \\ a_{3}=-4a_{3-1} = -4a_{2} = - 4( -4 0) = 160 \\ a_{4}=-4a_{4-1} = -4a_{3} = - 4(160) = -640[/tex]

The factoring of the expression 9 x²+48 x+64 is (3x+8)²

To solve this exercise, we have to follow the rules of factoring:

9 x²+48 x+64

1. Factor 48 from 48x:

9 x²+48 x+64

9 x²+(24+24) x+64

2. Apply the distributive property:

9 x² + 24x + 24x + 64

3. Groups the first two terms and the last two terms:

(9 x² + 24x) + 24x + 64

4. Factorize the greatest common denominator (GCM) of each group:

3x(3x + 8x) + 8(3x + 8)

5. Simplify the common term (3x + 8) with the distributive property:

(3x+8) (3x+8)

6. Rewriting as the square of a binomial, we get:

(3x+8)²

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

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Answer:

x=-20

Step-by-step explanation:

x-2=-22

x=-22+2=-20

Answer:

-20.

Step-by-step explanation:

X - 2 = -22

Add +2 to both sides I the equation, and we have :

X - 2 + 2 = -22 + 2

X + 0 = -20

.: X = -20

The factorized expression of 5z + 3y - 15x + 9 is 5(z - 3x) + 3(y + 3)

The expression is given as

5z+3y-15x+9

Rewrite the above expression properly

So, we have

5z + 3y - 15x + 9

Regroup the expression, as follows

So, we have:

5z + 3y - 15x + 9 = 5z - 15x + 3y + 9

Factorize the expression, as follows

So, we have:

5z + 3y - 15x + 9 = 5(z - 3x) + 3(y + 3)

Hence, the factorized expression of 5z + 3y - 15x + 9 is 5(z - 3x) + 3(y + 3)

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Answer:

Negative.

Step-by-step explanation:

Adding B to A brings the total below zero. making it negative.

Answer:

hope this will help you...

According to the linear equation, he has to sold 50 products to collect a amount of 5000 rs.

According to the statement

We have to find that the value of the products he sold.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

Chip earns a base salary of $500 per month as a salesman. In addition to the salary, he earns $90 per product that he sells. If his goal is to earn $5000 per month.

Then

The equation become

90x + 500 = 5000

Here x is the product he sold

Then

90x + 500 = 5000

90x  = 5000 - 500

90x = 4500

x = 4500/90

x =  50.

So, According to the linear equation, he has to sold 50 products to collect a amount of 5000 rs.

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Answer:

x = 17

Step-by-step explanation:

x - 7 = 10

17 - 7 = 10

Answer:

Maths: 70

English: 0

Music: 140

The rest remain the same

Science: 87.5

History: 52.5

Step-by-step explanation:

350/10 = 35

35 x 4 = 140

140/2 = 70

35 + 35 + 70 = 140

Y= 120

Given :  

Function :

trigonometric function, in mathematics, one of six functions (sine [sin], cosine [cos], tangent [tan], cotangent [cot], secant [sec], and cosecant [csc]) that represent ratios of sides of right triangles. These six trigonometric functions in relation to a right triangle are displayed in the figure.

They are also known as circular functions since their values can be defined as ratios of the x and y coordinates (see coordinate system) of points on a circle of radius 1 that correspond to angles in standard positions. Trigonometry can be easily applied to surveying, engineering, and navigation problems in which one of a right triangle’s acute angles and the length of a side are known and the lengths of the other sides are to be found.

The fundamental trigonometric identity is sin2θ + cos2θ = 1, in which θ is an angle.

X = 8

Y = 12

f (x) = x*3/2

f(8) = 8*3/2 = 12

y = 12

hence proof  f(x)=x*3/2

x = 80

f(x) =x*3/2

f(80) = 80*3/ 2

y = 40 *3

y = 120

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Answer: 4.9 years old

Step-by-step explanation: it’s the ages added up divided by the total (to find the average)

Answer:

hiya not sure of this is right but I would add all the dots up so with 3 add 3+3+3+3+3. because there is 5 dots do this with all of them and then divided by the amount of dots hope this helps

answer 4.9

From the stem-and-leaf plot, and statistical concepts such as mean, median and IQR, we have that:

a) The distribution of Juniors is right skewed, while the distribution of Seniors is left skewed.

b) Since the distribution is skewed, Wyatt is not correct, as the better measure of center is the median.

c) Wyatt is correct that there are no outliers in the juniors' data-set, as there are no measures that are more than 1.5 IQR below Q1 or above Q3.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

From the graphed plot at the end of the answer, the Junior's measures are given as follows:

112, 121, 125, 132, 134, 135, 146, 156, 195, 200.

The Seniors' measures are given as follows:

123, 166, 172, 175, 183, 186, 191, 194, 197, 201.

To classify the shape of a distribution, we have to find the mean and the median, which are defined as follows:

Then the classifications are given as follows:

For Juniors, we have that:

Hence the distribution is right skewed, as mean > median.

For Seniors, we have that:

Hence the distribution is left skewed, as median > mean.

For item b, we have that:

Since the distribution is skewed, Wyatt is not correct, as the better measure of center is the median.

For juniors' data-set, we have that:

The bounds for outliers are given as follows:

Hence, for item c:

Wyatt is correct that there are no outliers in the juniors' data-set, as there are no measures that are more than 1.5 IQR below Q1 or above Q3.

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Step-by-step explanation:

this is about the overall slope of the mountain road.

remember, the slope is (y change / x change). in this case it is elevation change / distance change.

getting from 2 to 4 miles the changes are

distance changes by +2

elevation changes by + 700 (from 5500 to 6200).

the slope is +700/+2 = 350/1 = 350.

the road begins at distance = 0.

the elevation of the begin of the road = x.

so going from 2 miles down again to 0 the changes are

distance changes by -2 (from 2 to 0)

elevation changes by x - 5500 (from 5500 to x).

the slope there must be the same as the slope further up (as it is said it has a constant rate) :

(x - 5500)/-2 = 700/2

(5500 - x)/2 = 700/2

5500 - x = 700

x = 5500 - 700 = 4,800 ft

the road started at an elevation of 4,800 ft above sea level.

The radius of the circle whose circumference is 46mm comes out to be 7.32 mm

As we are been provided with that circumference of the circle is 46mm and we are told to find out the radius of the circle

The formula for circumference of circle = dπ where d is the diameter of the circle

Let us put the given values in the formula

           46 = d (3.14)

  46/3.14 = d

d= 14.64

The radius of the circle is half of the diameter of the circle which means r = d/2

The radius of the circle = 14.64/2 = 7.32mm

Hence, the radius of the circle whose circumference is 46mm comes out to be 7.32 mm

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Answer:

A) -1 B) -3 C) -7

Step-by-step explanation:

A) -2(-1)-3=2-3=-1

B) -2×0-3=0-3=-3

C) -2×2-3=-4-3=-7

Answer:

2 is to 4

Step-by-step explanation:

when u comnbkdkd the osapkbdbd

Answer:

Step-by-step explanation:

Answer: 2/31

Explanation: When doing this question, it is best to make a chart with all the possibilities. From there, look and see which possibilities cannot get a change of a dollar to get the answer.