- What is the density of an object whose mass is 180 grams and whose volume is 45 cm
B. 0.25 g/cm³
A. 4 cm³/g
C. 4 g/cm³
D. 0.25 cm³/g

Addition 3+ 12, an incomplete mathematical sentence. 1.3+ 12=13.3

Addition is a mathematical procedure that is used to add numbers. The sum of the given numbers is the result of adding the given numbers. For instance, if we add 2 and 3, (2 + 3), the result is 5. We used the addition function on two numbers, 2 and 3, to produce the sum, 5

Symbol for Addition

Different symbols are used in mathematics. One of the most used arithmetic symbols is the addition symbol. We read about adding two numbers, 2 and 3, in the definition of addition above. If we look at the addition pattern (2 + 3 = 5), the symbol (+) joins and completes the two integers.

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Answer:

x + y = 10

Step-by-step explanation:

Rationalization is multiplying a surd by another similar surd to obtain a rational number. In mathematics, a surd is an expression involving a square, cube, or another kind of root symbol. The surd used for multiplication is called the rationalization factor (RF). Rationalize the denominator to make it easier to perform calculations with rational numbers. Rationalizing a denominator with a fraction removes all root terms, such as square roots and cube roots, from the denominator.

[tex]\frac{4}{\sqrt{\frac{4}{25}}}[/tex]

[tex]\begin{aligned}&\frac{4}{\frac{\sqrt{4}}{\sqrt{25}}}\\&\frac{\frac{4}{\sqrt{2^2}}}{\sqrt{5^2}}\end{aligned}[/tex]

[tex]\frac{4}{\frac{\sqrt{2^2}}{\sqrt{5^2}}}[/tex]

[tex]\frac{4}{\frac{2}{5}}[/tex]

[tex]\begin{aligned}&4 \div \frac{2}{5} \\&4\left(\frac{5}{2}\right) \\&\frac{4 \cdot 5}{2} \\&2 \cdot 5\end{aligned}[/tex]

[tex]10[/tex]

And if the question is like this,

[tex]$\frac{4 \cdot \sqrt{4}}{25}$$\frac{4 \cdot \sqrt{2^2}}{25}$$\frac{8}{25}$[/tex]

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I would say avoid adding any more detail to the eyes and facial features. normally pointillism uses alot more dots and makes them most concentrated in darker areas. i would recommend trying to add shadows to most of it or adding more detail to the hat. Ii think her neck looks ok but there isn't really a way to get rid of the diagonal that you made.

Answer:

I think its great! I think add more hair to the side of head there. other than that it resembles her quite nicely!

Step-by-step explanation:

Number Line :

In math, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length. A number line can be extended infinitely in any direction and is usually represented horizontally.

or

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

On a number line, a number on the left is always less than a number on the right. Similarly, a number on the right is always greater than a number on the left.

The Number Line app helps students visualize number sequences and illustrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing. Choose number lines labeled with whole numbers, fractions, decimals, or negative numbers. Or use a custom number line, with or without tick marks, and set your own interval.

Show intervals between points on the line using forward or backward jumps above and below the line. Jumps can also be labeled with their values or left blank. Add custom tick marks to the number line to show equivalence or compare number values.

Basic Number Line Skills:

1. Find the dot marked on a number (and name the dot)

2. Place a dot at the desired location

3. Find the desired number below the number line’s tick mark*

   -17                -11        -2                 0

-----|-----------------|----------|----------------|-----------------------------------------------Number line

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Answer:

No.

Step-by-step explanation:

After solving, the factors of equation 2x³+5x²-12x are:

So,

Given the equation: 2x³+5x²-12x

Then,

Factors are: x(2x-3)(x+4)

Therefore, after solving, the factors of equation 2x³+5x²-12x are:

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The equation of a line perpendicular to y = 4x - 3 that passes through the point (2,-2) is y = -1/3x - 3/2

The equation of the line is given as

y = 4x - 3

Rewrite the equation as

y = 4x - 3

A linear equation is represented as

y = mx + c

Where

Slope = m

So, we have

m = 4

The slopes of perpendicular lines are opposite reciprocals

This means that

m2 = -1/m1

So, we have

m = -1/4

Evaluate

m = -1/4

The equation of the perpendicular line is then calculated as

y = m(x - x1) + y1

Where

(x1, y1) = (2, -2)

This gives

y = -1/4(x - 2) - 2

Evaluate

y = -1/3x + 1/2 - 2

Evaluate the sum and the difference

y = -1/3x - 3/2

So, the equation of a line perpendicular to y = 4x - 3 that passes through the point (2,-2) is y = -1/3x - 3/2

Hence, the required equation of a line perpendicular to y = 4x - 3 that passes through the point (2,-2) is y = -1/3x - 3/2

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Answer:

x = 0.25

Step-by-step explanation:

[tex]9\sqrt{x} =5-2x[/tex]

[tex]81x = 25 - 20x + 4x^{2}[/tex]

[tex]0=4x^{2} -101x+25[/tex]

[tex]0 = 4x^{2} -1x-100x+25[/tex]

[tex]0=x(4x-1)-25(4x-1)\\0=(x-25)(4x-1)[/tex]

[tex]x=25,\frac{1}{4}[/tex]

[tex]2*25+9\sqrt{25} =5\\50+9*5=5\\50+45=5\\95=5[/tex]

[tex]2*\frac{1}{4}+9\sqrt{\frac{1}{4} } =5 \\0.5+9*\frac{1}{2} =5\\0.5+4.5=5\\5=5[/tex]

Answer:

[tex]x=\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given equation:

[tex]2x+9\sqrt{x}=5[/tex]

Subtract 2x from both sides to isolate the square root:

[tex]\implies 2x+9\sqrt{x}-2x=5-2x[/tex]

[tex]\implies 9\sqrt{x}=5-2x[/tex]

Square both sides to eliminate the square root:

[tex]\implies (9\sqrt{x})^2=(5-2x)^2[/tex]

[tex]\implies 81x=(5-2x)(5-2x)[/tex]

[tex]\implies 81x=25-20x+4x^2[/tex]

Subtract 81x from both sides:

[tex]\implies 81x-81x=25-20x+4x^2-81x[/tex]

[tex]\implies 0=25-101x+4x^2[/tex]

[tex]\implies4x^2-101x+25=0[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:

[tex]\implies ac=4 \cdot 25=100[/tex]

[tex]\implies b=-101[/tex]

Therefore, the two numbers are -1 and -100 as:

[tex]\implies -1 \cdot -100=100=a[/tex]

[tex]\implies -1+(-100)=-101 =b[/tex]

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies4x^2-x-100x+25=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(4x-1)-25(4x-1)=0[/tex]

Factor out the common term (4x - 1):

[tex]\implies (x-25)(4x-1)=0[/tex]

Apply the zero-product property:

[tex](x-25)=0 \implies x=25[/tex]

[tex](4x-1)=0 \implies x=\dfrac{1}{4}[/tex]

Input each solution into the original equation to check its validity:

[tex]\begin{aligned}x=25 \implies 2(25)+9\sqrt{25}&=5\\50+9(5)&=5\\50+45&=5\\95 & \neq 5\end{aligned}[/tex]

Therefore, x = 25 is not a valid solution.

[tex]\begin{aligned}x=\dfrac{1}{4}\implies 2\left(\dfrac{1}{4}\right)+9\sqrt{\dfrac{1}{4}}&=5\\\dfrac{1}{2}+9(\dfrac{1}{2})&=5\\\dfrac{1}{2}+\dfrac{9}{2}&=5\\\dfrac{10}{2}&=5\\5 & = 5\end{aligned}[/tex]

Therefore x = ¹/₄ is a valid solution.

Therefore, the only valid solution to the equation is x = ¹/₄.

Answer: 32

Step-by-step explanation: 2(-3)2. -4

Part A:  Expression for the distance in meters between given two birds using subtraction = 2.5 - (-2.5)

Part B: The distance between two birds using additive inverse 2.5- (-2.5) =5 meters

An expression is an combination of numbers and mathematical operations such as addition, subtraction, division and multiplication with equating any two terms.

Additive inverse : Additive inverse of an number a is the number that  when adds to a gives zero .

Let b be additive inverse of a, then a + b =0

Then, b = -a

Given two birds A and B are at  points x= -2.5 and  y = 2.5 respectively

Therefore,  the expression for the distance in between given two birds

           = y - x  = 2.5- (-2.5)

We an clearly see that  -2.5 is additive inverse of 2.5

Distance between the two birds = 2.5 -(-2.5) =2.5 +2.5 = 5 meters

Therefore, the expression for distance between the two birds A and B is 2.5-(-2.5) and the distance is 5 meters.

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Answer:

MN = 5

Step-by-step explanation:

From inspection of the given diagram:

Therefore:

[tex]\implies \sf MN+NR=MNR[/tex]

[tex]\implies 2.5x+x=5x-3[/tex]

[tex]\implies 3.5x=5x-3[/tex]

Add 3 to both sides:

[tex]\implies 3.5x+3=5x-3+3[/tex]

[tex]\implies 3.5x+3=5x[/tex]

Subtract 3.5x from both sides:

[tex]\implies 3.5x+3-3.5x=5x-3.5x[/tex]

[tex]\implies 3=1.5x[/tex]

[tex]\implies 1.5x=3[/tex]

Divide both sides by 1.5:

[tex]\implies 1.5x \div 1.5=3 \div 1.5[/tex]

[tex]\implies x=2[/tex]

Substitute the found value of x into the expression for MN:

[tex]\implies \textsf{MN}=2.5(2)[/tex]

[tex]\implies \textsf{MN}=5[/tex]

Using the mathematical operation such as division, the swim team, which has 100 people on it, needs 7 minivans to take them on the other side of town.

If there are 100 people on the swim team that will be divided into minivans that can only occupied by 15 people, divide 100 by 15 to know how many vans they will need.

100 people ÷ 15 people/minivan

100 ÷ 15 = 6 r 10

This means that the swim team will need 6 minivans and still, 10 people don't belong to any minivan yet. So, 1 additional minivan will be needed for the remainder of 10 people.

Hence, the swim team will be needing 7 minivans to cater 100 people on their team.

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Answer:

Step-by-step explanation:

Answer:

This diagram is a straight edge and compass construction . A is the centerof one circle , and B is the centre of the other . A rhombus is a quadrilateral with 4 congruent sides

Step-by-step explanation:

Answer: 3657

Step-by-step explanation:

18-15=3

15-12=3

3 ==> rate of change per term

3*46=138

138-3=135

135+12=147 ==> 46th term

Now find the average of the first and 46th term of the sequence:

(147+12)/2=

159/2=79.5

Now multiply the average by 46 to find the sum of the sequence.

79.5*46=

159*23=3657 ==> sum of 46 terms

Answer:

x = 2, y = -1
x = -1, y = -4

Step-by-step explanation:

Both equations are equal to y, so just set x - 3 = x^2 - 5 and solve.

If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.

A person or married couple must submit an official form known as an individual tax return to a federal, state, or local taxing authority in order to record any taxable income they received within a certain time period, typically the previous year.

This document is used to determine how much tax was paid in excess of what was required during that time period.

In this case, if Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.

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If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is:

April 15th.

October 15th.

August 15th.

November 15th.

None of the choices are correct.

The expansion of the expression log₈8 √3a⁵ is

1+ log 3/2log 8 +5 log a/ log 8.

Given that the expression is log₈8 √3a⁵.

We are required to expand the expression.

The change of base formula is used to write a logarithm operation again as a fraction of logarithms with a new base.

The expression is log₈8 √3a⁵.

log₈8 √3a⁵= (log 8 +log [tex]\sqrt{3}[/tex] +log [tex]a^{5}[/tex])/log 8

=1+ log 3/2log 8 +5 log a/ log 8      (We know that log [tex]m^{n}[/tex]=n log m)

Hence the expansion of the expression log₈8 √3a⁵ is

1+ log 3/2log 8 +5 log a/ log 8.

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Answer: she spent 40 minutes answering the phone calls

Step-by-step explanation:  

Its 40 minutes because she spends 20 minutes delivering flowers and she worked at the hospital for 60 minutes that day. So, if you take away the 20 minutes for the 60 minutes, she spent she will only have 40 minutes left to answer calls.

Step-by-step explanation:

to cross the y-axis x must be 0.

so,

y - 4×0 = 1

y = 1.

so, the point is

(0, 1)

The option that describes Myra’s distance as time increases is increasing.

Looking at the table provided, it can be seen that as time passes, the distance ran by Myra increases. It can be seen that distance increases from 0.4miles to 0.8 miles when time increases from 2 seconds to 4 seconds.

Change in distance run per time = change in distance / change in time

(0.4 - 0) / (2 - 0)

0.4 / 2 = 0.2

Myra's distance increases by 0.2 per second. This means that Myra is running at a constant speed. Thus, the rate of the increase in the distance run by Myra is a constant 0.2 per second.

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Answer:

the answer is increasing

the answer is correct because you gave text evidence

When the value of x will increase then decay factor will decrease the value of y.

Given that the decay factor describes how an advertisement loses its effectiveness over time.

Exponential decay will tell us the process of reducing an amount by a consistent percentage of rate over a particular period of time. Exponential decay is the reciprocal of exponential growth when a quantity decreases by the same factor in equal intervals of time, the constant coefficient of the exponential decay function is less than 1. This can be expressed as (1 - r) and is called the decay factor.

According to the definition of the decay factor, its say that when the value of x increases then the decay factor of the value of y will decrease.

Hence, the value of x will increase then decay factor will decrease the value of y.

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The following proportion by cross multiplying:

( x + 2 ) / 6 = ( x - 4 ) / 3 is -19

Given:

( x + 2 ) / 6 = ( x - 4 ) / 3

( x + 2 )=2(x-4)

x+2=2x-8

x=-10

If the ratio between the first and second amounts is identical to the ratio between the second and third, the three quantities are said to be in continuing proportion. Similarly, the ratio between the first and second amounts in a continuous proportion will be equal to the ratio between the third and fourth.

Consider the following two ratios: a:b and c:d. We shall convert the means of the two specified ratio terms to a single term/number in order to get the ongoing proportion.

This is the LCM of means in general, and for the given ratio, the LCM of b & c is bc. As a result of multiplying the first ratio by c and the second ratio b.

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The figure consists of dodecahedrons having different edge length, e.

The external volume, [tex] V_{e}[/tex], is given by the formula;

The internal volume, [tex] V_{i}[/tex], is given by the formula;

The given figures consists of solids that are pentagonal faced.

The number of faces of the solid = 12

The shape of the solids are known as a dodecahedron

The formula for the external volume, [tex] V_{r}[/tex], is given as follows;

[tex]V_e = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_e}^{3} [/tex]

Where;

[tex] e_{e}[/tex] = The length of the edges on the outside of the dodecahedron.

Given that the length of the edges on the inside are measured to be [tex] e_{i}[/tex], the internal volume is given by the formula;

[tex] V_i = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_i}^{3} [/tex]

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Answer:

$46

Step-by-step explanation:

So, the principal amount, P = $460

Yearly simple interest, R = 2.5% which equals 0.025

Time(T) which is 4 years.

The interest(I) for the amount, P at the rate of R yearly, after T years,

Elena's account will earn $46.