Write as a monomial in standard form.

Write As A Monomial In Standard Form.

Answers

Answer 1

The monomial in standard form will be written as 5y³x².

A Monomial may be defined as a type of polynomial which contains only one term. For example, 3x², 5x and 6x are called monomials. When written in standard form it is the product of one or more factors which can be a constant coefficient and one factor for each variable in the expression. While writing in standard form the terms having the highest power is written first and then the succeeding powers are written. Here, the expression given is 5x²y³ which is not in standard form. The terms having highest power is y³ so it should be written before the term x² as 5y³x² which will be the required standard form.

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Related Questions

What products are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.

Answers

The allocation for product defined and product not defined are

PD(product defined)

PM, QP, LM

PND

ML

This is further explained below.

What is an allocation for product defined?

Generally, the rule for matrix multiplication

no. of columns for the first matrix should be equal to no. of rows in the second matrix" that is if

1st matrix has =m * n

2nd has =k *l

Therefore

m=l

L=2*2,  M=4*2,

The matrix is defined as the row and the column tally

M=4*2 and L=2*2

The matrix is not defined as a row and the column do not tally

In conclusion, Q=2*1, and P=2*2 equal so the product is defined.

P=2 *2,M=4 *2,  equal so product is defined.

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Write each number as a power of 4
a) 1/4
b) 1/64​

Answers

Answer: I am going to assume that 1/4 is 1 over 4 ( a fraction ) and that it is the same for 1/64

A) 0.00390625

B)     0.015625^4  <------( Here is the equation. when i put it in a calculator it was too long. here is the answer that gave me: 5.96046448 e-8 )


Write an explicit formula for an, the nth term of the sequence
6, -12, 24,....

Answers

Answer:

6,12,24,48,96

Step-by-step explanation:

write the equation of a circle given the center (2, 9) and radius r = 3

Answers

Answer: x^2 + y^2 - 4x + 18y = 76 = 0

The center of the circle given is (2, 9)

radius = r

The equation of a circle for a given point is

(x - h)^2 + (y - k)^2 = r^2

Where h = 2, and y = 9

(x - 2)^2 + (y - 9)^2 = 3^2

Expand the parentheses

(x - 2) (x - 2) + (y - 9) (y - 9) = 9

(x - 2) (x - 2 ) = x* x - 2*x - 2*x + 2* 2

= x^2 - 4x + 4

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

(y - 9) (y - 9) = y*y - y*9 - 9*y + 9*9

= y^2 - 18y + 81

(y - 9) (y - 9)= y^2 - 18y + 81

Therefore, the equation becomes

x^2 - 4x + 4 + y^2 - 18y + 81 = 9

Re-arrange the equation

x^2 + y^2 - 4x - 18y + 4 + 81 = 9

x^2 + y^2 - 4x - 18y = 9 - 81 - 4

x^2 + y^2 - 4x - 18y = -76

x^2 + y^2 - 4x - 18y + 76 = 0

The equation of a circle given the center (2, 9) and radius 3 is x^2 + y^2 - 4x + 18y = 76 = 0

Answer:

The equation of a circle given the center (2, 9) and radius 3 is x^2 + y^2 - 4x + 18y = 76 = 0

Step-by-step explanation:

Please help I have no clue what I’m doing! Grade is getting low and this was due awhile ago!

Given the function below, determine the following.

f(x) = 10x + 13

Find f(3).
f(3)

Find f(-8).
f(-8)

Find x if f(x) = 53.
x=

Answers

Answer:

see explanation

Step-by-step explanation:

f(3) means what is the value of f(x) when x = 3

substitute x = 3 into f(x)

f(3) = 10(3) + 13 = 30 + 13 = 43

similarly for x = - 8

f(- 8) = 10(- 8) + 13 = - 80 + 13 = - 67

given f(x) = 10x + 13 and f(x) = 53 , equate the right sides

10x + 13 = 53 ( subtract 13 from both sides )

10x = 40 ( divide both sides by 10 )

x = 4

HELP ME PLEASE!!! THANK U SO MUCH IF U HELP ME, UR HELP WILL BE APPRECIATED <3

Answers

Answer:

1b) in first image

1c) in second image

The telephone company offers two billing plans for local calls. Plan 1 charges $31 per
month for unlimited calls and Plan 2 charges $13 per month plus $0.03 per call.

a. Use an inequality to find number of monthly calls for which Plan 1 is more
economical than Plan 2.

b. Explain the meaning of the answer to part a.

Answers

Answer:

i think is (a)

because i zay do

Step-by-step explanation:

anyways...... i want more pictures of math problems

Can you please help me with this question I don’t understand it.From DA to the angle BAC

Answers

INFORMATION:

We have the next rhombus

And we must find the measure of

Knowing that DB = 10, BC = 13, and m∠WAD = 25°

STEP BY STEP EXPLANATION:

To find all measures, we need to use properties or the rhombus:

- DA: To find DA we need to know that all sides of the rhombus are equal. So, if BC measures 13, then DA measures 13 too.

- BW: To find BW we need to know that in a rhombus, diagonals bisect each other at right angles. That means, diagonals intersect in the middle. So, if DB = 10, then BW will be half of BD. BW = 10/2 = 5.

- WC: We can find it as one of the legs of the right triangle formed by BW, BC and WC. Where, BC is the hypotenuse.

[tex]\begin{gathered} 13^2=5^2+WC^2 \\ WC=\sqrt{13^2-5^2} \\ WC=12 \end{gathered}[/tex]

So, WC = 12.

- Angle BAC: To find this angle, we need to use that the interior triangles formed in the interior of the rhombus are congruent. So, angle BAC is congruent with the angle DAC. Then, BAC = 25°.

ANSWER:

DA = 13

BW = 5

WC = 12

BAC = 25 degrees

Susie started a rock collection. she started with 26 rocks. each month she adds 5 to the collection. which equation can be used to find y, the total number of rocks in susie's collection after x months?

Answers

Answer:

26 + 5x = y

Step-by-step explanation:

hope this helped

have a good day ^^

Georgia is given a rectangular piece of paper. If the
length of Georgia's piece of paper is represented by
x - 5 and the width is represented by 7x - 3, then
what is the area of the paper represented by?

Answers

Answer:

i will answer in 2050 my bad

i just need the points rq

Step-by-step explanation:

n/a

HELLLP khan academy !! due tonight

Answers

Equation of the line is y = -(1/3)x+5

The figure shows a straight line of which two points and thereby the slope can be found out.

Equation of a line is in the slope-intercept form is,

y = mx +c,

where m is the slope of the line and c is the y-intercept of the line.

From the figure, two points on the line are, (0,5) and (3,4).

Then slope = (4-5)/(3-0)

                  = -1/3

Now y-intercept, c is the y-co-ordinate when x = 0.

From the figure, when x = 0, y = 5

So y-intercept, c = 5.

Thus the equation of the line is, y = -(1/3)x+5

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Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Average Cycling Speed A graph titled Average Cycling Speed has minutes on the x-axis and miles per hour on the y-axis. Points are at (5, 15), (10, 13), (15, 11), (20, 10), (25, 9). a. no correlation b. negative; as time passes, speed decreases c. positive; as time passes, speed increases d. positive; as time passes, speed decreases Please select the best answer from the choices provided A B C D Mark this and return

Answers

Step-by-step explanation:

5,15 can accord to be an sciencetistic teachers, the 15,11 which means you can appear to combine them together and be an 100 then you do the abcd and boom

g + 3 < 6
please help me

Answers

The solution to the given inequality expression is g <3

Linear inequality

Inequality are expressions not separated by an equal sign. They are separated by a less than, greater than, less than or equal to and greater than or equal to.

Given the linear equation below:

g + 3 < 6

We are determine the unknown variable "g"

First, we need to subtract 3 from both sides to have;

g + 3 - 3 <  6-3

g < 6 - 3

g < 3

Hence the solution to the given inequality expression is g < 3

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If log3 x + logx 3= 2.5 find the value of x

Answers

The value of x is -0.004624

[tex]log_{3} (x)+log_{x} (3)=2.5[/tex]

[tex]log_{3} (x)+\frac{log_{3} (3)}{log_{3} (x)} =2.5[/tex]

Let z= [tex]log_{3} (x)[/tex]

[tex]z+\frac{1}{z} = 2.5[/tex]

[tex]3z^{2} + z-2.5z=0[/tex]

z= -0.166

[tex]log_{3} (x)=-0.166[/tex]

x = -0.004624

What is a log?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a set number, base b, must be increased in order to create a specific number x, is represented by the logarithm of that number. The logarithm, in its most basic form, counts the number of times the same factor appears when multiplied repeatedly; for instance, since 1000 = 10 x 10 x 10 = 103, its "logarithm base 10" is 3, or log10 (1000) = 3. When there is no possibility of a mistake or when the base is irrelevant, as, in big O notation, the logarithm of x to base b is written as loga (x), logb x, or even without the explicit base, log x.

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Standard to slope intercept form

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 6x+ 6[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given equation is :

[tex]\qquad\displaystyle \tt \rightarrow \: 24x + 4y = 24[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 4y =24 - 24x [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ 24}{4} - \frac{24x}{4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 6x + 6[/tex]

And this the equation of same line in its slope intercept form, where slope (m) = -6 and y - intercept = +6

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Reasoning 5 Jack calculates 6 x 102 + 3 x 10³ = 9 × 105 Explain Jack's mistake, and write in the correct answer in standard index form.​

Answers

Answer:

3.6*10³

Step-by-step explanation:

Jack cannot add the powers of 10 because they are in addition. We can apply the exponent rule only when they are in multiplication.

[tex]\sf 6 *10^2 + 3*10^3= 6*100 + 3*1000\\[/tex]                          

                         = 600 + 3000

                         = 3600

                          [tex]\sf = 3.6 * 10^3[/tex]

Answer is 3.6 x 10^3

Step by step

It appears Jack added his exponents and added his constants
1) Exponents are added when exponents are multiplied by exponents. This is not true here.
2) Constants cannot be added here because of order of operations in math says to multiply and divide before add and subtract.

6 x 10^2 + 3 x 10^3 = ?

Following the math order of operations, or PEMDAS,

we will process Exponents (E in PEMDAS) first.

6 x 100 + 3 x 1000 =

Now Multiplication (M in PEMDAS)

600 + 3000 =

Now Add (A in PEMDAS)

= 3600

Answer in standard index form is the same as scientific notation

= 3.6 x 10^3

Solve y3 = 1.
answers are
y = −1
y = 1
y = ±1
y = 3

Answers

Answer:

Is y3 supposed to be y^3?  Is so, the answer is 1.  

Step-by-step explanation:

If the equation is correct as written, 3y = 1, then y = 1/3

y^3 = 1

This can also be written as y^2*y = 1

1.  If y = -1, then y^2y would be (1)*(-1) = -1

2. If y = 1, then (1)^3 * (1) = 1  This works.

3.  If y = ±1, then -1 is a possible answer and -1 does not work as per #1

4.  3^3 = 27

I WILL GIVE BRAINLIEST!! HELP PLEASE NOW!!

A conjecture and the flowchart proof used to prove the conjecture are shown.

Drag an expression or phrase to each box to complete the proof.

Answers

yes thank you very muchGiven: Measure of angle D E G equals 51 degrees. Measure of angle G E F equals 39 degrees. Prove: Triangle D E F is a right triangle. Art: A right angle triangle D E F. Angle D E F is a right angle. Point G is on segment D F, and segment E G is drawn.

Put the following equation of a line into slope-intercept form, simplifying all fractions. 6x-3y=15

Answers

Answer: y=2x-5

Step-by-step explanation:

6x-3y=15

6x-6x-3y=-6x+15

-3y=-6x+15

-(3y=6x-15)

3y=6x-15

3y/3=(6x-15)/3

y=6x/3-15/3

y=2x-5

The measures of the exterior angles of a quadrilateral are 2x°, 3x°, 9x°, and 10x°. Find the measure of the largest exterior angle.

Answers

Sum of exterior angles of any quadrilateral is always 360
Thus 24x= 360
=> x=15
Thus largest exterior angle is 10x I.e. 150


Which of the following is equal to (2x/5 - 9) +9?

Answers

Answer:

I don't see any answer options, and the equation doesn't look correct.

I'll assume the equation is meant to be:

(2x/5 - 9) = 9, not (2x/5 - 9) +9

Step-by-step explanation:

(2x/5 - 9) = 9

2x/5  = 18

2x  = 90

x = 45

if the modified equation is correct.

Help ASAP, will mark brainliest!

If triangle ABD is congruent to triangle CBD, angle ADB = 49 degrees and angle CDB = 7x.

Answers

Answer:

x = 7 degrees

Step-by-step explanation:

Angle CDB = 49 degrees (corresponding angles triangle ABD congruent to triangle CBD)

Angle CDB = 49 degrees = 7x

7x = 49 degrees

x = 7 degrees

You are on the prom decorating committee and are in charge of buying balloons. you want to use both latex and mylar balloons. The latex balloons cost $.10 each and the mylar balloons cost $.50 each. You need 125 balloons and you have $32.50 to spend. how many of each can you buy?

Answers

I can buy 75 latex balloons and 50 mylar balloons.

This is a problem from an algebraic equation. We can solve this problem by following a few steps.

We need 125 balloons. Let's assume we have to purchase x latex balloons.

So, mylar balloons are ( 125 - x ).

Our total budget is $32.50.

The cost of x latex balloons is ($.10 × x) = $.10x , as the latex balloons cost $.10 each.

The cost of ( 125- x)  mylar balloons is $[( 125- x) × 0.50] , as the mylar balloons cost $.50 each.

So the total cost is,

$[( 125- x) × 0.50] + $.10x  = 32.50

Now, we have to solve this equation, Let's simplify it.

62.50 - 0.50x + .10x = 32.50

Or, 62.50 - 0.40x = 32.50

Or, -0.40x =  32.50 - 62.50       [ deduce 62.50 from both side ]

Or, -0.40x =  -30                 [ we should devide both sides 0.40 ]

Or, x = 30/0.40 = 75

So, the number of latex balloons is 75. Therefore, the number of remaining mylar balloons is ( 125 - 75) = 50

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The measures of the angles of a triangle are shown in the figure below. Solve for x.
54°
(7x+1)°

Answers

Answer:

54 + (7x + 1) + 90 = 180° (sum of angles in triangle=180)

7x = 35

x = 5

Answer:

x = 5

Step-by-step explanation:

Geometry Theory

This question deals with a right-angled triangle. The sum of the angles in a  triangle is equal to 180 degrees. A right angle is equal to 90 degrees which means that the other two angles must equal to 90 degrees as well.

Algebra

Form the equation.

( 7x + 1 ) + 54 + 90 = 180;

Subtract 90 from both sides.

7x + 1 + 54 + 90 - 90 = 180 - 90;

7x + 1 + 54 = 90;

Simplify left-hand side.

7x + 55 = 90;

Subtract 55 from both sides.

7x + 55 - 55 = 90 - 55;

7x = 35;

Divide both sides by 7.

x = 35 / 7;

x = 5;

the third term in the sequence is 11
the term-to-term rule is "take away 4"
write an expression on in terms of n for the nth term of the sequence

Answers

An expression, in terms of n, for the nth term of this arithmetic sequence is aₙ = 23 - 4n.

What is an arithmetic sequence?

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ = a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

For the second term, we have:

a₂ = a₃ - d

a₂ = 11 - (-4)

a₂ = 11 + 4

a₂ = 15.

For the first term, we have:

a₁ = 4 + second term

a₁ = 4 + 15

a₁ = 19

Substituting the given parameters into the formula, we have;

aₙ = a₁ + (n - 1)d

aₙ = 19 + (n - 1)(-4)

aₙ = 19 - 4n + 4

aₙ = 23 - 4n

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what is the common ratio for the geometric sequence 35/2, 7, 14 / 5, 28 / 25, enter your answer as a decimal

Answers

Given:

The geometric sequence is

[tex]\begin{gathered} a_1,a_2,a_3,a_4 \\ \frac{35}{2},7,\frac{14}{5},\frac{28}{25} \end{gathered}[/tex]

To find the common ratio,

[tex]\begin{gathered} Ratio=\frac{a_2}{a_1} \\ =\frac{7}{\frac{35}{2}} \\ =\frac{7\cdot2}{35} \\ =\frac{14}{35} \end{gathered}[/tex]

Hence the common ratio, r is 14/35.

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2 ?

Answers

Answer: 35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

Answer: 35N :)))))))))))))))))))))))))))))

Can someone help me find the slope???

Answers

Answer:

The slope is -1/3.

Step-by-step explanation:

When you count the rise/run, which is how much it goes up/down and left/right, you get -4/12. Simplify -4/12 and you'll get -1/3.

Write an equation in slope-intercept form of the line that passes through $\left(1,-9\right)$ and $\left(-3,-9\right)$ . An equation is

Answers

The equation of line is y = -9.

What is a equation of line?

These lines are written in the form y = mx + b, where m is the slope and b is the y-intercept. We know from the question that our slope is 3 and our y-intercept is –5, so plugging these values in we get the equation of our line to be y = 3x – 5.

Given that,

(1, -9) = ( [tex]x_{1}, y_{1}[/tex])

(-3, -9) = [tex](x_{2},y_{2})[/tex]

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         = [tex]\frac{-9+9}{-3-1}[/tex]

Slope = 0

Then the equation of line

[tex]y-y_{1} = m(x-x_{1})[/tex]

y+9 = 0

y = -9

Hence, The equation of line is y = -9.

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Which postulate could we use to prove that the angles

Answers

The angle postulate that best defined angles CAB and CAD is; Supplementary Angles

What is the Angle Postulate?

We know that there are different angle postulates such as Corresponding angles, complementary angles, supplementary angles and others.

Now, in this case we want to find the angle theorem that best describes angles CAB and CAD. Now, from the given image, it is clear that both angles form a straight line and we know that the sum of angles on a straight line equals 180 degrees.

Since both angles sum up to 180 degrees and we know that these angles are defined as supplementary angles which are linear pairs.

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