A number raised to a power represents a product where the same number is used as a repeated factor. The number is called the base and the power is given by the exponent. The base is the repeated factor and the exponent counts the number of factors. An exponent is that we are dealing with products and multiplication.
In the expression bn, b is the base and n is the exponent.
The Power Rule for Exponents: (am)n = am*n.
To raise a number with an exponent to a power, multiply the exponent times the power.
Negative Exponent Rule: x–n = 1/xn.
Invert the base to change a negative exponent into a positive.
Zero Exponent Rule: x0 = 1, for .
Any non-zero number raised to the zeroth power is 1.
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Find the value of x in the equation. 3/4 (8x-6) -2= 1/2-x
In linear equation, the value of x in the equation is 20/11.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.3/4 (8x-6) -2= 1/2-x
24x - 18 - 2/4 = x/2
24x - 20/4 = x/2
2(24x - 20) = 4x
48x - 40 = 4x
48x - 4x =40
44x = 40
x = 40/44
x = 20/11
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Evaluate the function.
ƒ(x) = −3x² + 10x + 13
Find f(-1)
Answer:
find the inverse of the following function. The Domain and Range of inverse
a) f(×)=× b) f(×)=׳-4
Evaluate the expression 4 with small 4 on top
Answer:
256
Step-by-step explanation:
That just means to multiply the number by itself 4 times.
4 x 4 = 16 x 4 = 64 x 4 = 256
Your friend eats 25 strawberries less than 5 times the
amount of strawberries you do. If you eat 10 strawberries,
find out how much your friend eats?
Answer:
25
Step-by-step explanation:
The required amount of strawberries eaten by the friend is given as 25 strawberries.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number of strawberries he eat be x,
According to the question,
Strawberries that his friend eat = 5x - 25
Put x = 10
Strawberries that his friend eat = 50 - 25 = 25
Thus, the required amount of strawberries eaten by the friend is given as 25 strawberries.
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e^(iπ) = ?
e^(iπ) + 1 = ?
m Ixl math...............
Answer:
baby help you with what? All i can do is pray for you,
Step-by-step explanation:
matter of fact bow yo head..............Amen
Expand and combine like terms.
(8x^4 + 1)² =
What’s 2848 - y = 373
Answer:
Y= 2475
Step-by-step explanation:
We move 2848 across the = sign so we gotta change the sign
so we going to write it as
-Y= -2475
we want to keep the Y by it self so we going to divide -1 both side and we gets Y = 2475
Answer:
Y= 2475
We move 2848 across the = sign so we gotta change the sign
-Y= -2475
def didnt copy this ;-;
6. The formula for the perimeter of a
rectangle is P = 2L + 2W.
a. Solve the equation for W.
b. Using your equation in a, find the width of a
rectangle that has a perimeter of 244 inches
and a length of 59 inches.
Step-by-step explanation:
work is shown and pictured
Four fractions equal to 0.25
If f(x) = x² – 1, and
g(x) = x + 2, then
f(g(x)) = [? ]x²+[ ]x + []
Two shops rent pairs of skis for a rental fee plus a fee
per hour. The table shows the total costs (in dollars)
for different numbers of hours at Shop A. The total
costy (in dollars) for x hours at Shop B is
represented by the equation
y = 2x + 8.
Which shop charges less per hour?
• Shop A
O Shop B
How many hours must a pair of skis be rented for the total costs to be the same?
The total costs are the same when a pair of skis is rented for
hours.
PLS HELP
Using linear functions, it is found that:
Shop B charges less per hour.The total costs are the same when a pair of skis is rented for 3 hours.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For Shop A, we have that the slope is of 3, as the cost increases by $3 an hour, hence:
yA(x) = 3x + b.
When x = 1, y = 8, hence we find the intercept b as follows:
8 = 3 + b
b = 5.
Hence:
yA(x) = 3x + 5.
For Shop B, the rule is given as follows:
yB(x) = 2x + 8.
Due to the lower slope, we have that:
Shop B charges less per hour.
The costs will be the same when:
yA(x) = yB(x).
Hence:
3x + 5 = 2x + 8
x = 3.
The total costs are the same when a pair of skis is rented for 3 hours.
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E. -2(a-8)how do you do this question?
Answer: -2a + 16
Step-by-step explanation:
You must do the distributive property. Since "a-8" is in the parenthesis and -2 is outside the parenthesis, you must multiply -2 by (a-8). -2 multiplied by a will equal 2a since you don't know what variable a equals. Next, you multiply -2 and -8 which would equal positive 16. The reason why it is positive is because 2 negative numbers multiplied or divided would equal a positive number. Thus, the answer is -2a + 16.
find the area of the shaded region.
round to the nearest tenth.
The area of the shaded region is 294.4 square meters
How to find the area of the shaded region?The given parameters are represented on the figure
By this;
The area of the shaded region is the sum of the area of the major sector and the area of the triangle
The area of the major sector is
A1= ∅/360 * πr²
The area of the triangle is
A2 = 0.5r²sin(x)
So, the total area is
Total = ∅/360 * πr² + 0.5r²sin(x)
This gives
Total = (360 - 130)/360 * 3.14 * 11.1^2 + 0.5 * 11.1^2 * sin(130 deg)
Evaluate
Total = 294.4
Hence, the area of the shaded region is 294.4 square meters
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A composite figure is shown.
6 ft
6 ft
6 ft
20 ft
What is the total surface area of the figure?
A. 180 sq ft
B. 60 sq ft
C. 480 sq ft
D. 720 sq ft
4 ft
The total surface area of the given figure is 720 ft² that is option (D).
The Lateral Surface Area( LSA) of an object is the area covering all the sides of the object except it top and bottom .
Let us divide the given Composite figure into three parts ,
Part(a) = top part having shape of pyramid
First we will calculate the LSA of the top pyramid.
Given that
base = 6ft
perpendicular distance = 4ft
Slant height(l) = [tex]\sqrt{(\frac{base}{2} )^{2} +(perpendicular . distance )^{2} }[/tex]
On substituting the values we get
l=√(3²+4²)
l=√25
l=5 ft
LSA of pyramid = (1/2)* perimeter of base * slant height
Substituting the values we get ;
=(1/2)*(4*6)*5
=60 ft² ....(i)
Part (b)
the 2nd part is a rectangular prism with length = 20 ft
and breadth = 6 ft
Surface area of rectangular prism = 4*Area of side
=4*20*6
=480 ft² ...(ii)
Part(c)
The last part is a cube with only 5 sides of side 6ft.
Surface Area of the cube = 5*Area of side
=5*6*6
=180 ft² ....(iii)
Total surface area of the figure= LSA of pyramid + Surface area of rectangular prism + Surface Area of the cube
Substituting the values from equation (i) , (ii) and (iii) we get ,
Total surface area of the figure = 60+480+180
=720 ft²
Therefore , the total surface area of the given figure is 720 ft².
hence option (D) 720sq ft is correct.
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Correlational research results depicting a correlation coefficient of 0. 5 means that the associated variables demonstrate a __________ relationship.
Results of correlational analysis showing a correlation coefficient of 0.5 indicate that the related variables show a moderately positive relationship.
The correct option is B.
Briefing:The strength of the relationship can be quantified by researchers using this coefficient, which is frequently used to determine the relationship between two or more objects.
The coefficient value will range from -1 to +1, where a value of 0.5 indicates that the variables show a moderately positive relationship.
What exactly does it mean to have a moderate correlation?Variables that are thought to be highly correlated have correlation coefficients with magnitudes between 0.7 and 0.9. Variables that are moderately correlated are indicated by correlation coefficients with magnitudes between 0.5 and 0.7.
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I understand that the question you are looking for is:
Correlational research results depicting a correlation coefficient of 0.5 means that the associated variables demonstrate a __________ relationship.
a. weak negative
b. moderately positive
c. weak positive
d. strong positive
9n-22=4n + 3
And please explain how you got your answer, I’ve gotten this far (look at image) but I don’t know what to do now
Multiply. Write the answer in simplest form.
13/18 x 6/7
Answer:
13/21
Step-by-step explanation:
Solving steps
13/18 × 6/7
Simplify the expression
13/3 × 1/7
Multiply
Solution:
13/21
Alternative Form
0.619047
The answer in simplest form 13/18 x 6/7 = 13/21
To find the answer in simplest form 13/18 x 6/7
Simplify this, multiple nominator to nominator and denominator to denominator
(13 × 6)/(18 × 7) = 78/126
Now, reduce the fraction divide by 6,
we get, 78/126 = 13/21
Therefore, the final answer is 13/21.
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If the surface area of this box was 680in?, what
would the value of h have to be?
In cuboid , h = 14.5 is the value of h have to be .
Exactly what is a cuboid?
A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has six rectangular faces, eight vertices, and twelve edges. Another name for a cuboid is a rectangular prism. A cube is a cuboid with six square faces.surface area = 2 ( lh + lw + hw) = 680
2( 10h + 10(10) + h(10) = 680
20h + 100 + 20h = 680
40h = 680 - 100
40h = 580
h = 14.5
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The temperature was 71 degrees on thursday at 6 am. the temperature rose 4 degrees per hour and for several hours. at what time did the temperature reach 83 degrees
At 6 am temperature was 71 degrees and rises 4 degrees per hour then at 9 am temperature reach 83 degrees.
As given in the question,
On Thursday at 6 am temperature = 71 degrees
Rise in temperature = 4 degrees per hour
Temperature at
7 am = 71+ 4
= 75 degrees
8am = 75 + 4
= 79 degrees
9am = 79 +4
= 83 degrees
Therefore, at 6 am temperature was 71 degrees and rises 4 degrees per hour then at 9 am temperature reach 83 degrees.
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Find the difference of 6.761 x 1012 and 4.1 x 1012. 2.661 x 100 6.351 x 100 2.661 x 1012 6.351 x 1012
The difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].
What is subtraction?Minuend and subtrahend are the terminology used in subtraction, while difference refers to the result. The minuend is the first number; it's the number you take things from, and it has to be bigger than the other numbers. The number being subtracted is known as the subtractend, and it must be the lower number.
Given that 6.761 x [tex]10^{12}[/tex], 4.1 x [tex]10^{12}[/tex]
We need to find the subtraction value of these expressions
Now 6.761 x [tex]10^{12}[/tex] [tex]-[/tex] 4.1 x [tex]10^{12}[/tex]
= 2.661x [tex]10^{12}[/tex]
Therefore, the difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].
Hence, option (c) is correct.
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Complete question
Find the difference of 6.761 x 10 ^12 and 4.1 x 10 ^12.
(a) 2.661 x 10 ^0
(b) 6.351 x 10 ^0
(c) 2.661 x 10 ^12
(d) 6.351 x 10 ^12
What if? if the height of the pyramid were increased to 563 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increas
The pyramid's volume will increase by 11.79%.
What is a pyramid?It has a polygonal base.A pyramid has n + 1 vertices, n + 1 faces, and 2n edges with an n-sided base.A Pyramid's volume is calculated as:
[tex]V=\frac{B h}{3}[/tex]
Where:
B denotes the base area.h stands for height.When the height increases from 458 to 512, the initial and final volumes are as follows:
[tex]\begin{aligned}&V_1=\frac{458}{3} b \\&V_2=\frac{512}{3} b\end{aligned}[/tex]
The percentage difference is then calculated as follows:
[tex]\% \text { Change }=\frac{V_2-V_1}{V_1} \times 100 \%[/tex]
We obtain:
[tex]\% \text { Change }=\frac{512 b / 3-458 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=\frac{54 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=0.1179 \times 100 \%\\\% \text { Change }=11.79 \%[/tex]
Therefore, the pyramid's volume will increase by 11.79%.
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The correct question is given below;
If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase
(-2+1)exponent2+5(12/3)-9=
Question :
(-2+1)exponent2+5(12/3)-9=
Answer:
The answer is : 12 po
a 2 yard piece of aluminum wire cost $16.44 what is the price per foot?
Answer: The price per foot will be 2.74$
Step-by-step explanation:
what is the relation between yard and foot?
The value of one yard is equal to3 feet.
That is given by ,
1 yard =3 feet.
we have 2 yards piece of aluminium wire
Firstly,we have to find the cost of 2 pieces of aluminium wire.
2×3=6
The cost is 16.44
16.44/6=2.74.
Therefore the price per foot will be $2.74.
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Answer:2.74
Step-by-step explanation ; firstly we have to find the cost for 2 pieces of wire . 2×3≈6. the cost is 6. 16.44÷6=2.74. therefore the price per foot will be 2.74.1) 6х - 4 = 5х - 11 ; ??
2) 0,3( х -2) = 0,6 + 0,2(х+4) ; ??
Answer:
1 ans
Step-by-step explanation:
6x - 4 = 5x-11
6x- 5x = -11+ 4
x = -7
four friends attend the cinema and buy tickets using this offer. buy 3 tickets and get a ticket free they each play £6.30.
how much does a ticket cost?
In linear equation, £ 8.4 much does a ticket cost.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.They each pay £ 6.30
the total they pay is
6.3 × 4 = £ 25.2
buy three tickets and get a free ticket
3 tickets is £ 25.2
25.2/3 = £ 8.4
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If a quadratic function has the rule f(x)=(x-h)^2+k, what will cause a vertical translation?
Option 1: Changing the value of h
Option 2: Changing the value of k
Please help me as soon as possible, thanks.
to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.
Then the correct option is the second one.
What will cause a vertical translation?
First, remember that for a general function f(x) we define a vertical translation of N units as:
g(x) = f(x) + N
If N > 0, the translation is upwards.If N < 0, the translation is downwards.In this case, we have the function:
f(x) = (x - h)^2 + k
If we apply a vertical translation of N units, then we get the new function:
f'(x) = (x - h)^2 + k + N
Now we have two constants, we can define:
k ' = k + N
Then the new quadratic function is:
f'(x) = (x - h)^2 + k'
So, as you can see, to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.
Then the correct option is the second one.
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3. Which statement is true about a translation?
A) A translation takes a line to a parallel line or itself.
B) A translation takes a line to a perpendicular line.
C) A translation requires a center of translation.
D) A translation requires a line of translation.
A) A translation takes a line to a parallel line or itself.
Answer: A) A translation takes a line to a parallel line or itself.
Step-by-step explanation:
Help me Help me Help me Help me Help me
ANSWER THE FOLLOWING QUESTIONS:
1. What are the missing numbers?
2. Does it show a pattern?
3. Describe the pattern.
Answer:
Week 1 =11
Week 2 = 9
Week 3 = 7
Week 4 = 5
Week = 3
11 + 9 + 7 + 5 + 3 = 35
Pattern: She is losing 2 less pounds each week. There is a pattern.
Label the following number as a prime or composite. if the number is composite, then factor it completely. if the number is prime, answer "dne". 1426 select an answer factored:
Answer:
the answer due to the question is
1 is thousand
4 is hundred
2 is tens
6 is ones