Answer:
Do not multiply the coefficients and the exponents. Remember, using the Product Rule add the exponents when the bases are the same.
In the product rule of the exponents,
''For same base we can add the exponents of the coefficients.''
What is mean by expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Solve expression by using the product rule for exponents.
Now, We know that;
In the product rule for exponents;
When expression have same base then its exponents are add and the coefficients of expression are written as same as write in expression
Hence, In the product rule of the exponents,
''For same base we can add the exponents of the coefficients.''
Learn more about the mathematical expression visit:
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what is 21+7+4×8 gemdas rule
Answer:
60
Step-by-step explanation:
21+7+4x8=
21+7+32=
60
[tex]4x\leq 12[/tex]
Divide each term by
4
and simplify.
Inequality Form:
r ≤ 3
Interval Notation:
( − ∞ , 3 ]
There are (3x - 2) students in a classroom. If each one of them is asked to bring
(x - 3) pieces of paper. How many pieces of paper will the class collect?
Step-by-step explanation:
STUDENTS=3X-2
IECES OF PAPER=X-3
TOTAL PIECES OF PAPER=(3X-2)(X-3)
=3X^2-9X-2X+6
3X^2-11X+6
The total circular area a sprinkler can water is 240 2 . The sprinkler is set to rotate back and forth in a 75° pattern. Find the amount of area that will get watered.
Answer:
The sprinkler will cover an area of [tex]50m^2[/tex]
Step-by-step explanation:
Given
[tex]Area = 240m^2[/tex]
[tex]\theta = 75^{\circ}[/tex]
Required
Determine the amount of area it can cover
The amount of area is calculated by calculating the area of a sector using:
[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * \pi r^2[/tex]
Where:
[tex]Area = \pi r^2 = 240m^2[/tex]
So, we have:
[tex]Sector\ Area =\frac{\theta}{360^{\circ}} * 240m^2[/tex]
Substitute 75 for [tex]\theta[/tex]
[tex]Sector\ Area =\frac{75^{\circ}}{360^{\circ}} * 240m^2[/tex]
[tex]Sector\ Area =\frac{75^{\circ}* 240m^2}{360^{\circ}}[/tex]
[tex]Sector\ Area =\frac{75* 240m^2}{360}[/tex]
[tex]Sector\ Area =\frac{18000m^2}{360}[/tex]
[tex]Sector\ Area =\frac{18000}{360} m^2[/tex]
[tex]Sector\ Area =50m^2[/tex]
Hence, the sprinkler will cover an area of [tex]50m^2[/tex]
It takes lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer. How far is the friend from lucas' house
Answer:
Step-by-step explanation:
It takes Lucas 3 hours to cycle from his home to his friend’s village:
3 hours • (a certain speed) = distance in miles
If he travels 5mph slower, it will take him 1.5 hours longer:
4.5 hours • (the same speed - 5mph) = the same distance in miles
4.5 • (x - 5) = 3x
4.5x - 22.5 = 3x
1.5x = 22.5
x = 15mph
3hours • 15mph = 45 miles
help and ill give extra (60 points)
Answer:
1) substitution method
2) zero
Step-by-step explanation:
because it has no solution as the variables cancle out eachother.
Our teacher hasn’t explained the concept yet but class was canceled today
Answer:
What grade is this?
Step-by-step explanation:
Help me with the area of the following triangle??? 25 POINTS question
-13/2x+1 is the answer which the area
How to find it simple:
Do 1/2*3x-4
then use that answer and multiple it with the height which is 2x+1 and you get the answer.
can you help me with this
Answer:
[tex]140[/tex]°
Step-by-step explanation:
This polygon has [tex]9[/tex] sides, so it's a nonagon. The expression used to find the sum of the measures of the interior angles of any polygon is [tex]180(n-2)[/tex]° where [tex]n[/tex] is the number of sides the polygon has. In this case, [tex]n=9[/tex], so the sum of the measures of the interior angles of this polygon is [tex]180(9-2)=180*7=1260[/tex]°.
We are given that this is a regular polygon (with 9 sides), meaning that all of its interior angles have the same measure, and we also know that the sum of the measures of its interior angles is [tex]1260[/tex]°. Therefore, each interior angle measures [tex]\frac{1260}{9}=140[/tex]°. Hope this helps!
What is the value of x in the matrix equation below?
=======================================================
Explanation:
The -2 outside the first matrix multiplies to every item inside that first matrix.
So the x updates to -2x in the upper left corner.
That -2x adds to the 3 in the upper left corner of the second matrix. The sum -2x+3 must be equal to the value in the upper left corner of the third matrix.
Everything is focused on the upper left corner.
So we must solve -2x+3 = x
Doing so leads to...
-2x+3 = x
3 = x+2x
3 = 3x
3x = 3
x = 3/3
x = 1
the figure it made of a square and right triangles. Find the area
PLZ help me
Answer:
720 inches squared
Step-by-step explanation:
for the square:
a = 24 x 24 = 576 inches squared
for the triangle:
36-24 =
a = 12 x 24 / 2
= 144 inches squared
576 + 144 = 720 inches squared
Answer:
720 inches squared
Step-by-step explanation:
i took test
2x+3y=1470 changed to slope intercept form, write a description which is clear precise and correct of how to graph the line using the slope intercept method,changes equation to to function notation and explains clearly what the graph of the equation represents. graph the equation and labels the intercept correctly. Write at least 3 sentences explaining how the graphs of the two equations are the same and how they are different.
Answer:
y= 490 - 2x
Step-by-step explanation:
Answer: Do I get brainliest if I try? 7 = 490 - 2x
Step-by-step explanation:
The measure of AOC is 90. Find the value of x.
Answer:
x = 10 degr
Step-by-step explanation:
3x + 46 + 14 = 90
3x + 60 = 90
3x + 60 - 60 = 90 - 60
3x = 30
x = 10 deg
Answer:
Step-by-step explanation:10
Graph the line that has a slope of 1/4
and includes the point (0,1)
Answer:
y = 1/4x + 1
Step-by-step explanation:
Rise/run = 1/4x
y-intercept: (0,1)
Equation: y = 1/4x + 1
Graph this equation or you can just put this equation in Desmos calculator and it'll graph for you.
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost? _____
Answer:
$20
Step-by-step explanation:
25-5=20 that is your answer
Answer:
15 dollars
Step-by-step explanation:
helppp pleaasssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
54.3701 feet or 16.57200648 meters
Step-by-step explanation:
Can anyone help with this problem ?
[tex] \frac{ {m}^{11} }{ {m}^{8} } = {m}^{3} [/tex]
[tex] {m}^{11 - 8} = {m}^{3} [/tex]
When you're dividing two exponents with like bases, all you have to do is substract the exponents.
why is it difficult to find fossilized plants and animals in the same place
Answer: because the conditions to generate a fossil for an animal is very different from the conditions required for a plant.
Step-by-step explanation:
it is D
Answer:
d
Step-by-step explanation:
i think thats right. hope this helps
select the correct choice and fill in the box to complete your choice. pls help!!!
The rectangle has an area of 128 square inches and a width of 8 inches. Find the perimeter of the rectangle.
The answer is 48 square inches as the perimeter.
The perimeter of the rectangle is 48 inches.
What is rectangular perimeter?The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.
Given:
The rectangle has an area of 128 square inches and a width of 8 inches.
That means, the length,
= area of the rectangle / the width of the rectangle
= 128/8
= 16 inches.
The perimeter of the rectangle,
= 2 (length + width)
= 2 (16 + 8)
= 48 inches.
Therefore, the perimeter is 48 inches.
To learn more about the rectangular perimeter;
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A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?
Answer:
4 ft = width of walkway
Step-by-step explanation:
It helps if you can draw a figure.
Let x = width of walkway
Length of pool + walkway = (2x + 15)
Width of pool + walkway = (2x + 15)
area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]
Area of the pool = 15(15) = 225
Now,
The area of the walkway = area of pool and walkway together - area of pool
304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225
304 = [tex]4x^{2}[/tex] + 60x
4[tex]x^{2}[/tex] + 60x - 304 = 0
4([tex]x^{2}[/tex] +15x - 76) = 0
4(x - 4)(x + 19) = 0
x = 4 x = -19
-19 must be discarded because a length cannot be negative
Therefore x = 4 ft = width of walkway
Subtract.
(6x + 5) - (x+3)
O A. 5x + 2
B. 5x shig
C. 6x+8
0 D. 6x + 2
Please help..........
Maybe try
[tex] \frac{z - y}{x} [/tex]
If that doesn't work, tell me.
Of the following test scores, who do you think received the best score? The worst score? Why?
Carla : 3 out of 5
Desmond: 20 out of 25
Ignacio: 6.5 out of 10
Gina: 38 out of 50
Answer:
Desmond
Step-by-step explanation:
3 over 5 x 100% = 60%
20 over 25 x 100% = 80%
6.5 over 10 x 100% = 65%
38 over 50 x 100% = 76%
cuál es el siguiente número de -10
Answer:
en los números negativos es opuesto a los positivos es decir en los positivos después del 302 ira el 303 encambio en los negativos del
-10 irá el -9
Help me please which one do you think it is.
Answer: not sure
Step-by-step explanation:
But i thing its the 3rd one :P
2
1
X 46
7. Find the m 2 JKL
in rhombus JKLM
Step-by-step explanation:
since KLJ is a parallelogram, it can be split into 2 congruent triangles, as seen above. The angles remain the same, so we know angle KJL is also 25 degrees. Using the triangle angle sum theorem (all sides of a triangle add up to 180 degrees), we can determine the missing angle measure is 25 degrees. It would have been nice if the question told us JKLM was also a rhombus.
Which equation has no solution?
6(5x+4)=3(10x+7)
6 times open paren 5 x plus 4 close paren is equal to 3 times open paren 10 x plus 7 close paren
18x+17=2(9x+8)+1
18 x plus 17 is equal to 2 times open paren 9 x plus 8 close paren plus 1
4(3x−7)=8(2x+3)
Answer:
The answer of the question is 6(5x+4)=3(10x+7)
A recipe calls for 4 spoons of sugar for every 40g of flour if 240g of flour is used how much sugar would be needed
Answer:
24 spoons of sugar
Step-by-step explanation:
240/40= 6
6x4= 24
What is the exact value of tan(−π/4)?
Answer:
-1
Step-by-step explanation:
