Write log 4 + log 7 - log 2 as a single logarithm. Which of the following is the answer
1) log 14
2) log 25
3) log 28
4) log 56

To write 149600000000 in standard form, we need to move the decimal point to the left or right so that there is only one non-zero digit to the left of the decimal point. 149600000000 in standard form would be written as 1.496 x 10^11.

To arrive at this form, we move the decimal point 11 places to the left (since there are 11 zeros in 149600000000) and add the power of 10 notation, indicating that we moved the decimal point 11 places to the left. The number 1.496 is the coefficient and 11 is the exponent. This way, we get 1.496 x 10^11 which is the standard form of 149600000000.

Standard form, also known as scientific notation, is a way of expressing a number in a compact and efficient manner. It is typically used for very large or very small numbers. To write a number in standard form, the decimal point is moved so that there is only one non-zero digit to the left of the decimal point. The number of places the decimal point is moved is indicated by a power of 10

To learn more about the decimal point questions:

https://brainly.com/question/3388038

#SPJ4

Answer:

Below

Step-by-step explanation:

To find the slope of a line, we use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, if Akio recorded the distance he rode on his bike ride in hours, the slope of the line for the first two hours would be the change in the y-coordinates (distance) divided by the change in the x-coordinates (time) between those two points.

To find the slope of the line for all five hours, we will need to know the specific coordinates of all five points, otherwise, it's impossible to calculate the slope.

The slope of a line represents the rate of change in the y-coordinates (distance) per unit of change in the x-coordinates (time). In this situation, the slope represents Akio's speed, since the change in distance is divided by the change in time. A positive slope indicates an increase in distance over time, which means Akio is getting faster, whereas a negative slope indicates a decrease in distance over time, which means Akio is getting slower.

It's worth noting that a slope of zero would mean that there is no change in distance over time, which would mean that Akio isn't moving.

The inverse of a square root function looks like a half parabola which resembles the shape same as that of a quadratic function graph but we can not be certain about it.

Square root function graphs are usually curved. The curve above is, in reality, half of a parabola that is laying on its side. It represents half of the parabola that would result from graphing the equation y² = x.

f(x) = ax² + bx + c, where a, b, and c are integers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.

To know more about inverse function, visit,

https://brainly.com/question/3831584

#SPJ4

Answer:

  see attached

Step-by-step explanation:

You want to graph the piecewise defined function ...

  f(x) = 2x+9 for x < -3; 2x-2 for x > 4

You normally graph a line by finding (at least) two points on the line and drawing a line through them to make the graph. Often, it is convenient to start with the y-intercept. Here, it is convenient to start with the end point of the domain on which the line is defined. Additional points can be found by making use of the slope: rise 2 for each run of 1 to the right.

For x < -3, the value of y at x=-3 is ...

  y = 2(-3) +9 = 3

So, the point (-3, 3) will appear on the graph. This point is not actually in the domain, which is x < -3, so will be graphed as an open circle. The line goes down and to the left from there with a slope of 2.

For x > 4, the value of y at x=4 is ...

  y = 2(4) -2 = 6

So, the point (4, 6) will appear on the graph as an open circle, because x=4 is not actually in the domain of the function. The line will go up to the right from there with a slope of 2.

See the attachment for a finished graph.

To satisfied the solution of an equation after substituting the value of the variable left hand side value should equals to right hand side value.

As given in the question,

To satisfied the solution of the given equation we need to follow the following steps :

Therefore, to satisfied the solution of the given equation left hand side value should be equal to right hand side.

The above question is incomplete , the complete question is :

How do you satisfy the solution of an equation?

Learn more about equation here

brainly.com/question/29538993

#SPJ4

Yes, 1/4 and 2/8 equivalent fractions.

Mathematical fractions that have the same denominator but different numerators are called equivalent fractions. As an illustration, since 2/4 and 3/6 both equal 1, they are both comparable fractions. The total is divided into fractions. When referring to identical components of the total, equivalent fractions are utilized.

By multiplying the numerator and denominator by the same integer, it is possible to determine the equivalent fraction of each fraction. In spite of differences in appearance, equivalent fractions signify the same value. For instance, if you take one piece of cake, divide it into two equal pieces, and then eat one of them, you will have consumed half of the cake.

=  1/4 = 2/8

= 1/4 = 1/4

Learn more about fraction Visit: brainly.com/question/78672

#SPJ4

Correct Question:

Are 1/4 and 2/8 equivalent fractions?.

Answer:

Step-by-step explanation:

first we subtract 92.1 from 41 which gives us 51.1 now we want to see how many hours we can keep the room for while staying under 91.1 so we divide the value of 51.1(as we have to first pay the fee of $41) by 7.3 as that is the amount they are charging per hour(51.1/7.3) which gives us 7 so we can rent the roof for 7 hours max or just for 1,2,3,4,5 or 6 hours

The equation that shows how the price of a personal pizza y depends on the number of toppings x is y = 7 + x.

The equation of a straight line is an equation that comes in the form of an algebraic equation. It is also referred to as Slope - Intercept form. It can be represented using the equation below:

Equation : y = mx + c

where:

m = Gradient
c = Slope of the line

The equation that shows how the price of a personal pizza y, depends on the number of toppings x  is y = 7 + x

This question can be solved and represented using the equation of a straight line.

Let's represent

y = price of a personal pizza
x = number of toppings
The price for a plain cheese pizza = $7
The price for each of the toppings = $1
Therefore, the equation that shows how the price of a personal pizza y, depends on the number of toppings x  is written as:

y = $7 + $1 × x
y = 7 + x

Therefore, y = 7 + x is the equation represents the relationship between the price of a personal pizza and the amount of toppings.

To learn more about equations visit;
brainly.com/question/19662046
#SPJ4

Answer:

Step-by-step explanation:

Give them a fixed number of beads, and tell them to divide them equally between a certain number of tins. Start with showing the child how to divide the beads into two tins, using different numbers of beads each time, then gradually move to dividing by different numbers.

Yes. 4 is a real number. Real numbers includes both rational number and irrational numbers.

Every Real numbers can be expressed as an infinite decimal expansion. It include integers, natural numbers. Real numbers can be of positive and can be of negative numbers. Real numbers can be both a rational number or a irrational numbers. These two are the main groups of real numbers. Rational numbers can be written as the ratio of two integers. Irrational numbers cannot be written as the ratio of two integers. Irrational numbers are the type of real numbers. The real numbers has the closure property, commutative property, the associative property and the distributive property. This explains the properties of Real numbers.

To learn more about Real numbers please visit:

https://brainly.com/question/17201233

#SPJ4

You may quickly determine the fundamental trigonometric numbers of the most typical angles by utilizing a trigonometry table or the SOHCAHTOA approach.

Make a new table for trigonometry. Create a table with six rows and six columns. Put the trigonometric ratios in the first column (sine, cosine, tangent, cosecant, secant, and cotangent). Write the usual trigonometric angles (0°, 30°, 45°, 60°, and 90°) in the first column. Leave all of the other table entries blank.

the three basic trig ratios that are used to solve for missing sides and angles in a right triangle. It is defined as follows: SOH: Opposite / Hypotenuse = Sin().

Fill the sine, cosine, and tan values in the appropriate columns.

To learn more about trigonometric ratios:

https://brainly.in/question/51348260

#SPJ4

The rounded number to the nearest tenth is 7.1

How to round to the nearest tenth?

Examine the hundredth number to determine the decimal number's nearest tenth. Add one to the tenth value if the number is more than 5. The tenth place value should remain unchanged if it is less than 5, but all subsequent numbers should be eliminated.

√50 = 7.071

hundredth number is 7 greater than 5

Add one to the tenth value if the number is more than 5

all subsequent numbers should be eliminated.

Thus, the rounded number to the nearest tenth is 7.1

To learn more about the rounding from the given link

https://brainly.com/question/1620496

#SPJ1

the mid point of the side AB is (0,-1).

What is triangle?

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle containing the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane. A triangle's area is the region that each of its sides touches. A triangle's area varies from one triangle to another depending on the size of its sides and internal angles. Triangle area is measured in square units like m2, cm2, and in2.

A = (2,-3)

B = (-2,1)

Mid point will be 1+3/2, -2-2/2

Mid point is (0,-1)

Hence the midpoint of the side AB is (0,-10).

Learn more about triangle, by the following link

brainly.com/question/17335144

#SPJ1

Carl has 2 5/36 yard cable, more than 1 yard, not specified left.

What is yard ?

A yard is a unit of length measurement in the U.S. customary system and the imperial system. It is equal to 3 feet or 36 inches. The symbol for yard is "yd". It is mostly used in the United States and the United Kingdom for measuring small lengths, such as in construction, textiles, and landscaping.

Carl has three lengths of cable, 5/6 yard long, 1/4 yard long and 2/3 yard long. The total length of the cable that Carl has is:

5/6 + 1/4 + 2/3 = (30 + 15 + 40) / 36 = 85 / 36 = 2 5/36 yard

To check whether he has at least one yard of cable or not, we need to compare the total length of the cable he has (2 5/36 yard) with 1 yard. Since 2 5/36 is greater than 1, it means he has more than 1 yard of cable. So, he will have at least 1 yard of cable left after using some of it.

Carl has 2 5/36 yard cable, more than 1 yard, not specified left.

To learn more about yard visit : brainly.com/question/28365360

#SPJ4

Carl has three lengths of wire, each measuring 5/6 yards, 1/4 yards, and 2/3 yards. The wire that Carl has measures a total of:

5/6 + 1/4 + 2/3 = (30 + 15 + 40) / 36 = 85 / 36 = 2 5/36 yard

We need to compare the entire length of the cable he has (2 5/36 yard) with 1 yard to see if he has at least one yard of cable or not. He has more than one yard of cable since 2 5/36 is larger than 1, which is greater than 1. After using some of the wire, he will still have at least 1 yard of it.

The study comes to the additional conclusion that both interventions—traditional methods of instruction and the use of graphing calculators—improve students' abilities to compute mathematically.

To learn more about graphing calculators here

brainly.com/question/27554848

#SPJ4

Answer:

$18.30

Step-by-step explanation:

125 x 18 = 2250

2250/500 = 4.5 (round up to 5)

5 x 3.66 = $18.30

Answer:

10,007

Ten thousand seven

Step-by-step explanation:

Answer: acute triangle

Step-by-step explanation: acute triangle are also known as equilateral triangle, meaning all sides are equal. This also makes it equiangular (angle measurement are 60 degrees). Remember triangle ALWAYS add up to 180 degrees.

Answer:

Step-by-step explanation:

Answer:

(a) x + 3 = 11

(b) x - 2 = 15

(c) 3x -2 = 4

(d) 2(x-7) = 13

Step-by-step explanation:

(a) 3 added to a number is 11

(b) 2 subtracted from a number is equal to 15.

(c) 3 times a number decreased by 2 is 4.

(d) 2 times the sum of the number x and 7 is 13.​

(a) 3 added to a number is 11

Answer : x + 3 = 11

Base on the given it states that 3 added to a number is 11. A number is identified as x. Hence, a number added 3 equal 11.

Hence, x + 3 = 11 is the equation.

(b) 2 subtracted from a number is equal to 15.

Answer : x - 2 = 15

Base on the given 2 subtracted from a number is equal to 15. As known, a number is identified as x. Equal to 15 = Total. Hence, x - 2 = 15.

(c) 3 times a number decreased by 2 is 4.

Answer : 3x - 2 = 4

Base on the given 3 times a number decreased by 2 is 4. As known, a number is identified as x. 3 times is identified as times 3. And decreased is identified as subtract. Hence, 3x-2 = 4 is the equation.

(d) 2 times the sum of the number x and 7 is 13.​

Answer : 2( x + 7 ) = 13.

Base on the given 2 times the sum of the number x and 7 is 13. As known, a number is identified as x.  13 is the total. 2 times equals multiply 2. Sum of the number x and 7 meaning is Addition. Sum = Addition. Hence, 2(x+7)=13 is the equation.

RevyBreeze

Therefore , light of the fact that the three equations equal x2 + 6x - 16, they all represent the same function.

In a mathematical formula, the equal symbol (=) is used to denote that the statements are equivalent. It is demonstrated that many quantitative variables are comparable using mathematical equations, which are statements of reality. The equal sign, for instance, separates the numbers 12 and b + 6 into 2 halves within the equation y + 6 = 12. It is possible to calculate how many expression words each edge of a symbol represents. The meaning of a symbol usually contradicts itself.

Here,

It is important to understand that the function Corey wrote is:

=>y = (x + 8)(x - 2) (x - 2)

=> y = x² - 2x + 8x - 16

=> y = x² + 6x - 16

Kimberly spelled out y = x + 6x - 16

Joshua spelled out (x + 3)² - 25.

=>  (x + 3)(x + 3) - 25

=>  x² + 3x + 3x + 9 - 25

=>  x² + 6x - 16

In light of the fact that the three equations equal x2 + 6x - 16, they all represent the same function.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Step-by-step explanation:

It's obvious 5x5=25

Therefore, the square root of 25 is 5.

The altitude of the right triangle is as follows:

BD = √330 units

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

ΔABC is a right angle triangle with altitude BD drawn to the hypotenuse AC. Therefore,

AD = 15 units

DC = 22 units

The length of BD in the simplest form can be found as follows:

Using similar triangle,

Hence,

let

BD = x

15 / x = x / 22

cross multiply

x² = 22 × 15

x² = 330

x = √330

Therefore,

BD = √330 units

learn more on right triangles here: https://brainly.com/question/28523734

#SPJ1

Answer:

180° are triangles 360° are circles

Step-by-step explanation:

Answer: believe it's 49 degrees

Step-by-step explanation:

The Mean for June 2006 and 2005 is  $345,909 and $335,977 respectively. The median for June 2006 and 2005 is $254,000 and $139,000 respectively, there's no mode in this question.

In statistics, the mean, mode, and median are three measures of central tendency that describe a set of numerical data.

The mean is the average of a set of numbers, calculated by adding up all the values and dividing by the number of values. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the mean is (1 + 2 + 3 + 4 + 5) / 5 = 3.

The mode is the value that appears most frequently in a set of data. For example, if a set of data contains the values {1, 2, 2, 3, 4, 4, 4, 5}, the mode is 4, because it appears three times, which is more than any other value.

The median is the middle value in a set of data when it is ordered in ascending or descending order. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the median is 3, because it is the middle value. If there is an even number of values, then the median is the average of the two middle values.

It is important to note that different sets of data may have different measures of central tendency, and sometimes none of these measures may be appropriate.

Measures of central tendency are used to summarize and describe a set of data. The most common measures of central tendency are the mean, median, and mode.

1. Mean:

• Mean for June 2006: (508+435+538+913+367+033+254+240+137+022+160+548+260+458+358+035+222+879+136+371+127+586+201+316)/22 = $345,909

• Mean for June 2005: (422+843+469+588+245+803+199+409+132+054+139+728+254+725+345+065+210+740+134+334+125+455+184+853)/22 = $335,977

2. Median:

• Median for June 2006: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $254,000

• Median for June 2005: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $139,000

3. Mode:

• Mode for June 2006: There is no mode, because no value is repeated.

• Mode for June 2005: There is no mode, because no value is repeated.

Conclusions:

• The mean housing price in June 2006 is higher than the mean housing price in June

To know more about mode visit:

https://brainly.com/question/12789483

#SPJ1

The recursive formula represents the total amount of money in Victoria’s account at the end of the nth year

Generally, The recursive formula representing the total amount of money in Victoria's account at the end of the nth year is:

A(n) = A(n-1) + 15 + 0.02 * A(n-1)

where

To get the first value of A(n) we can use the initial condition

A(1) = 200 + 15 + 0.02 * 200

Read more about recursive formulas

https://brainly.com/question/8972906

#SPJ1

Answer:

125 km per hour

Step-by-step explanation:

divide 500 by 4 to find the averge

Answer:

[tex] \sf \: 125km/hr[/tex]

Step-by-step explanation:

Average speed = [tex] \sf \: \frac{distance \: travelled}{time \: taken} [/tex]

Ave. speed = [tex] \sf \frac{500km}{4hr} = 125kmhr {}^{ - 1} [/tex]

Hence, the average spred is 125km/h respectively.

The length of a, to the nearest 10th of a centimeter is 18.6 cm.

A triangle is a three-sided polygon that is defined by three points in a plane, called its vertices. The three sides of a triangle are also called edges, and are connected by three angles. The sum of the angles in a triangle is always 180 degrees. There are different types of triangles, including:

Triangles are fundamental in mathematics and are used in many areas such as geometry, trigonometry, and engineering.

In a triangle, the measure of an angle is related to the lengths of the sides opposite and adjacent to it by the formula:

c = a/sin C

Given that c = 75 cm and mm∠C = 13°, we can use this formula to find the length of a:

a = c*sin C

where C is in radians.

a = 75 * sin(13°) = 75 * 0.2225 = 16.7 cm

Also, we know that the sum of the angles in a triangle is always 180°, so we can use that information to find the measure of angle A.

mm∠A = 180 - (mm∠B + mm∠C) = 180 - (154 + 13) = 180 - 167 = 13°

Therefore, using the Law of Sines, we can find the value of a.

[tex]\frac{a}{sin A}[/tex] =  [tex]\frac{b}{sin B}[/tex] = [tex]\frac{c}{sin C}[/tex]

a =  [tex]\frac{c*sin A}{sin C}[/tex]

a = [tex]\frac{75*sin(13^{0}) }{sin(154^{0}) }[/tex]

Now, you can use a calculator or a table of trigonometric values to find sin(13°) and sin(154°) and substitute them in the above equation to find the length of a. To the nearest tenth of a centimeter, a is approximately 18.6 cm.

To know more about angle visit:

https://brainly.com/question/25239819

#SPJ1