To evaluate (3 x 8 x 5)⁷, you need to first multiply 3, 8, and 5 together to get the base, then raise that result to the seventh power.
What does a math exponent mean?
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.
So,
(3 x 8 x 5)⁷ = (120)⁷ = 120 x 120 x 120 x 120 x 120 x 120 x 120
= (1.2 x 10^2)^7 = 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2
=1.2^7 x 10^14 = 1.2^7 x 10^14
=4096 x 10^14
=4.096 x 10^17
Therefore (3 x 8 x 5)⁷ = 4.096 x 10^17
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The equations y+x^2+6x+8 and y =(x+2) (x+4) both define the same quadratic function. Without graphing, identify the x- and y-intercepts of the graph. Explain how you know.
please help!
Answer:
we get the
x-intercepts setting y=0 and the in the equation
y-intercept setting x=0 in the equation.
Step-by-step explanation:
x-intercepts( y=0)
[tex]0=x^2+6x+8=(x+2)(x+4)[/tex]
Hence x=-2 and x=-4 ( We got two x-intercepts)
y-intercept( x=0)
[tex]y=0^2+6(0)+8=8[/tex].
the y intercept is y=8 ( only is possible to find no more thant one).
Answer:
x-intercept=
x=-2
x=-4
y-intercept=
y=8
Step-by-step explanation:
0(y)=(x+2) (x+4)
so we had to substract it to get 0. therefore x intercept is that
y+x^2+6x+8
ax^2+bx+c
c is always y intercept
Pla answer asap I really need help on this
Answer:
measure of 1 = 117 degrees
measure of 2 = 63 degrees
*x = 39
Step-by-step explanation:
m1 = 3 x 39 = 117
m2 = 39 + 24 = 63
117 + 63 = 180 degrees
m∠1 = 3x and m∠2 = x + 24
now,
m∠1 + m∠2 = 180° (angle made in straight line)
3x + x + 24 = 180°
4x = 180-24
4x = 156
x = 156/4
x = 39°
also, 3x = 3×39 = 117
x + 24 = 39 + 24 = 63
find the area of a rectangular garden with side length of 4x+11 and 2x+5
find the perimeter of the garden in the problem
Answer:
just ask your teacher for clarification, then you will actually learn...
Now classify the polynomial.
7x² – 2x
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]7 {x}^{2} - 2x[/tex]
✏This is a quadratic polynomial because ² has been used as the exponent & degree.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Answer:
this is a quadratic polynomial
Step-by-step explanation:
you go by the highest paired value so 7x^2 makes the equation quadratic .
Given function g, which is defined by g(x)=x to the power of 3 -x , what is the value of g(3)?
Really sorry, misunderstood the equation. This is the answer though.
Answer:
24
Step-by-step explanation:
We have our function g(x) = [tex]x^{3}[/tex] - x
Now, we will substitute 3 in for x, giving us:
[tex]3^{3} - 3[/tex]
Now, we will simplify our exponent, giving us:
27 - 3 = 24
So your answer is 24.
Hope this helped!
Susannah bought eggs for $0.79/dozen. She spent a total of $6.32. How many dozen eggs did Susannah buy?
a. Write an equation of the form ax =b that will answer the question
Answer:
8 dozens ...............
The temperature outside is 14°F. If the temperature drops 20° ,will the outside temerature be represented by a positive or nagative integer?Explain your reasoning.
Answer:
14-20= -6
Step-by-step explanation:
If it goes past zero on the left its now a negative
Hope this helps plz like and brainly :D
Much would be appreciated <3
How many people are at chrissys birthday party?
22 1\2 divide 1 1/4
Answer:
The answer is 18
Step-by-step explanation:
22½ = [(22 × 2) + 1] ÷ 2 = 45/2
1 ¼ = [(1 × 4) + 1] ÷ 4 = 5/4
Now,
45/2 ÷ 5/4
45/2 × 4/5
(45 × 4) ÷ (2 × 5)
180/10 = 18
Thus, 18 people are at Chrissy's birthday party.
Write an expression to represent the area of the shaded region in simplest from
We know that the area of a square/rectangle is the multiplication of its length by its width. We also know that this specific area does not include the blank region, therefore we need to subtract it from the area of the shaded region!
We can come up with two expressions:
Shaded Area:
[tex](5x + 2)(3x - 1)\\= 15x^2-5x+6x-2\\=15x^2+x-2[/tex]
Blank area:
[tex](x)(x+7)\\x^2+7x[/tex]
Now all we have to do is subtract the blank area's expression from the shaded area's and simplify since the question asks for the simplest form.
[tex](15x^2+x-2)-(x^2+7x)\\15x^2-x^2+x-7x-2\\14x^2-6x-2[/tex]
Therefore, your final answer should be:
14x^2 - 6x - 2
PLEASE HELP!! I will give brainliest!!
Drag the key features to the correct location on the image.
Each key feature can be used more than once, but not all key features will be used.
Which key features are present in these three functions?
Answer:
See screenshot attached that shows it is correct
Step-by-step explanation:
f(x) has a domain of (-infinity, 6) U (6, infinity). Horizontal asymptote of y= -2
g(x) has a domain of (-infinity, -3) U (-3,2) U (2,infinity). Horizontal asymptote of y=1.
h(x) has a domain of (-infinity, 6) U (6, infinity). Function has a oblique asymptote.
The function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex], the function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will have a domain of [tex](-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex], and the function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex].
Given information:
The given functions are:
[tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex]
[tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex]
[tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex]
For a rational function, the denominator should not be equal to zero.
So, the domain of the first function will be,
[tex]x-6\neq0\\x\neq6\\(-\infty,6)\cup(6,+\infty)[/tex]
The function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will form a vertical asymptote at [tex]x=6[/tex].
The domain of the second function will be,
[tex]x^2+x-6\neq0\\x^2+3x-2x-6\neq0\\(x+3)(x-2)\neq0\\x\neq2, -3\\(-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex]
The function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will form a vertical asymptote at [tex]x=-3[/tex] and a horizontal asymptote at [tex]y=1[/tex].
The domain of third function h(x) will be,
[tex]x-6\neq0\\x\neq6\\(-\infty,6)\cup(6,+\infty)[/tex]
Now, the third function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will form an oblique asymptote, and a vertical asymptote at [tex]x=6[/tex].
The graph of each function is attached to the image.
Therefore, the function [tex]f(x)=\dfrac{\left(-2x+4\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex], the function [tex]g(x)=\dfrac{\left(x^{2}-2x\right)}{x^{2}+x-6}[/tex] will have a domain of [tex](-\infty,-3)\cup(-3,2)\cup(2,+\infty)[/tex], and the function [tex]h(x)=\dfrac{\left(x^{2}-2x\right)}{x-6}[/tex] will have a domain of [tex](-\infty,6)\cup(6,+\infty)[/tex].
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HELP ASAP! Its due in 10 minutes!!! NO FILES!!
Answer:
d. 204
Step-by-step explanation:
Each triangle is 1/2 bh
base is 10x8
each side is 10x5
all that equals 204 inches squared
Sasha is a journalist for an online school magazine. She wants to know what topic readers are not interested in for the next publication
Sasha puts a survey on the magazine's website and considers the first 25 responses. Are conclusions drawn from this sample likey to be true for all readers of the magazine?
Answer:
Step-by-step explanation:
No, some people don't like certain things. It like saying that you pick five random people who are at a science fair and ask them if they like science, the answer would be yes, but if you went to Walmart and asked five random people if they liked science your answers would most likely end up being no. It's the same way looking at the magazines.
Asap! What is the volume of the cylinder below?
Answer:
300
Step-by-step explanation:
Answer:
V≈9424.78in³
Step-by-step explanation:
Solution
V=πr2h=π·102·30≈9424.77796in³
Rearrange x = 3g + 2 to make g the subject
Answer:
[tex]g=\frac{x}{3} -\frac{2}{3}[/tex]
Step-by-step explanation:
You divide 3 from both sides leaving you with g=(x/3)-(2/3)
Please mark my answer as brainlyest.
The value of g can be rearranged by the expression x = 3g + 2 is [tex]\dfrac{x-2}{3}[/tex].
A collection of constants, variables or numbers connected using one or more arithmetic operator is called an expression
Example = 4y, 3x+4.
Given expression:
x = 3g + 2
Subtract 2 from both the sides:
x-2 = 3g + 2-2
x-2 = 3g
Divide both side by 3 to get the value of g
[tex]\dfrac{x-2}{3} = g[/tex]
Thus, the rearrangement of the expression x = 3g + 2 in the form of g is [tex]\dfrac{x-2}{3}[/tex].
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Ava has 2 dozen pencils. 3/8 of them are sharpened. how many of them are sharpened?
Answer:
3/8 of 24 is 9
9 of her pencils are sharpened.
could someone please check my answer and explain? im not sure if im doing this right
Answer:
[tex]V=1071.78\ cm^3[/tex]
Step-by-step explanation:
Given that,
The radius of the cone, r = 8 cm
The height of the cone, h = 16 cm
We need to find the volume of the cone. The formula for the volume of the cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 8^2\times 16\\\\V=1071.78\ cm^3[/tex]
So, the volume of the cone is equal to [tex]1071.78\ cm^3[/tex].
Which of the following is the parent function of all absolute value functions?
f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x) = x squared
The journal article that contains the results of the study actually reports that males with
epilepsy have an average of 14+ 9 µg/g of copper in their scalp hair.
What do you think
14 + 9 means in this situation?
The value of the equation A = 14 ± 9 μg/g and the term ±9 represents the margin of error
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 14 ± 9 μg/g be equation (1)
Now , the value of A can have two values p and q
where , the value of p = 14 + 9 μg/g
p = 23 μg/g
And , the value of q = 14 - 9 μg/g
q = 5 μg/g
On simplifying the equation , we get
It means the margin of error which is no sampling method can guarantee that the sample matches the exact population
]Hence , the researchers are confident that the true average concentration for all the males with epilepsy in the study is between 5 μg/g and 23 μg/g
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1. Write a function that represents the following description:
2.“After 8 hours, a person earned $148 in wages”
3. Write a linear function for the values given in the table below
a) After 8 hours, a person earned $148 in wages.
The function is, $x = 18.5 y
b) The linear function to represent the table is, y = 10x -4
What is Linear Function?A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.
Given:
a) After 8 hours, a person earned $148 in wages.
So, the unit rate change = 148/ 8
= 18.5
So, if y represents the number of hour and $x the wages, then the function is
$x = 18.5 y
b) The unit rate change for the function is
= (56-36)/(6-4)
= 20/ 2
= 10
So, the linear function to represent the table is
y - 36 = 10(x - 4)
y- 36 = 10x - 40
y = 10x -4
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Hey smarties✌♀️
Pls help me solve this question. It would be very helpful if u help me a) By what number should [tex]\frac{-4}{17}[/tex] be multiplied so that the product becomes [tex]\frac{-7}{23}[/tex] ?
Tnx in advance❤
Answer:
-3/6
Step-by-step explanation:
Which equation bus a simplified form of
3(x+9)-(5x-2)=14
A.-2x+29=14
B. -2x+11=14
C. 8x+25=14
D. 8x+29=14
Can u please help.............
The rotation about the center that can map an equilateral triangle onto itself is C. 120 degrees.
What angle rotates an equilateral triangle onto itself ?There are three equal sides and angles in an equilateral triangle which is 60 degrees each. This means that an equilateral triangle can be divided into three-axis of symmetry such that there are three lines dividing the triangle.
Should this happen, then the angle to rotate the triangle and map it onto itself would be 120 degrees as each of these axes of symmetry measure 120 degrees.
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3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the
Answer:
Initial volume:
10*10*53 = 5300 cm³Increased volume:
10*10*54.6 = 5460 cm³Volume of the medallion:
5460 - 5300 = 160 cm³Density = mass / volume
Density is:
3.088/160 = 19.3 g / cm³The 5th grade Social Studies book weighs 1.79 pounds. There are a total of 93 students in 5th grade at Liddell. What is the total weight of all of the Social Studies books?
Answer:
166.47 lb
Step-by-step explanation:
Calculate 93 times 1.79 pounds:
93 179 lb
---- * ---------- = 166.47 pounds
1 100
Answer:
166.47
Step-by-step explanation:
1.79 x 93 = 166.47
What is the median of the data?
Answer:
100
Step-by-step explanation:
What is line segment in maths class 7?
A line which is confined between two endpoints is known as a line segment. In other words, we can say that a line segment is a portion of a line that is connected by two points.
The length of the line segment does not vary and the distance between them does not change. The units in which a line can be calculated in centimetres, millimetres, meters, inches, or feet.
The difference between a line segment and a line is that the line segment had two endpoints while the line extends indefinitely. When only one side of the line has an endpoint, it is called a ray or a half-open line segment.
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plz help will mark brainliest
Answer:
50.4
Step-by-step explanation:
Use an inverse function to write θ as a function of x.
Answer:
C
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{3}[/tex] , then
θ = arctan [tex]\frac{x}{3}[/tex] → C
The required inverse function would be θ = arctan x/3. The correct answer would be an option (C).
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown.
Using the tangent ratio, we have:
tan θ = perpendicular/base
Here, perpendicular = x and base = 3
As per the figure, substitute the values in the above ratio:
tan θ = x/3
Using an inverse function to write θ as a function of x:
θ = tan⁻¹ x/3
This can be also written as:
θ = arctan x/3
Therefore, the required inverse function would be θ = arctan x/3.
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The graph below models the value of a $20,000 car fyears after it was purchased.
20000
18000
16000
14000
12000-
10000
8000
6000
4000
2000-
Dollars
Value of Car
52:25
2 4 6 8 10 12 14 16 18 t
Years
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
A. Each car value y, is associated with exactly one time, t.
B. Each time, t, is associated with exactly one car value, y.
C.The rate at which car decreases in value is not constant.
Your answer should be B. Each time, t, is associated with precisely one car value, y.
help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)