The summative product of B⁴ + [tex]M^{y}[/tex] is; [tex]M^{8y} + M^{y}[/tex]
How to use Laws of Exponents?We are given the equation as;
B⁴ + [tex]M^{y}[/tex]
Now, we are further told that;
B = [tex]M^{2y}[/tex]
Thus, we have our original expression as;
[tex](M^{2y})^{4}[/tex] = [tex]M^{y}[/tex]
According to laws of exponents, we know that;
When multiplying like bases, the same bases are kept and we add the exponents. When raising a base with a power to another power, retain the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.Thus; (x²)³ = x²*³ = x⁶
Applying that to our expression means we now have;
[tex]M^{8y} + M^{y}[/tex]
Thus, the summative product of B⁴ + [tex]M^{y}[/tex] is; [tex]M^{8y} + M^{y}[/tex]
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Answer:
wtfStep-by-step explanation:
(PLEASE HELP ANSWER THIS QUESTION QUICK) (and correctly please)
Analyze the following using a Venn diagram. Choose the best
answer.
"All plants have cells. Irises have cells. Therefore, irises are
plants."
1 Valid The inner circle is those with cells and the outer circle is plants
2 invalid. The inner circle is plants, and the outer circle is those with cells.
3 Invalid. The inner circle is things with cells, and the outer circle is plants
Answer: Choice 2
invalid. The inner circle is plants, and the outer circle is those with cells.
=========================================================
Further Explanation:
If we throw a dart at random, and we land in the inner circle (plants), then we automatically land in the outer circle (has cells).
Now imagine the dart landed in the "has cells" circle, but outside the smaller circle. This could be stuff like animal cells, bacteria, etc. So just because something has cells it does not automatically make it a plant. Saying "an iris has cells" is not enough info to be able to tell it's a plant or not. This means the conclusion of "irises are plants" is shaky at best.
This is why the overall argument structure is invalid.
For more information, check out the concept of "affirming the consequent" which is a common fallacy people make.
A case of 8 items costs $9.44 at Costco. What is the price of each item?
Answer: $1.18 per item
Step-by-step explanation:
9.44/8=$1.18 per item
How do I factor 7.2x2y - 0.9xy2
Answer:
[tex]xy\left(7.2x-0.9y\right)[/tex]
Step-by-step explanation:
[tex]Rule: a^{b+c}=a^ba^c\\(x^2y=xxy,\:xy^2=xyy)\\=7.2x(xy)-0.9xyy\\=xy\left(7.2x-0.9y\right)[/tex]
Debra bought 1.025 pounds of ham and 1.143 pounds of turkey. Each pound of ham and turkey costs $5.00. How much did Debra spend?
Answer:
10.84
Step-by-step explanation:
1.025*5+1.143*5=10.84
A movie company spent $12,000,000 making a feature film. If tickets to see the movie cost $8.00 each, determine the number of tickets that must be sold in order for the company to break even
Answer:
1500000
Step-by-step explanation:
190 g = _____________ kg
Molly is making strawberry infused water. For each ounce of strawberry juice, she uses two times as many ounces of water. How many ounces of strawberry juice and how many ounces of water does she need to make 39 ounces of strawberry infused water?
Answer: 39 ounces of strawberry juice, 78 ounces of water.
Step-by-step explanation:
Since Molly uses "each ounce" meaning 1 per strawberry juice, 39 ounces of strawberry infused water would mean she uses 39 ounces of strawberry juice. Then, it says she uses two times as many as those 39 ounces of strawberry juice for water. This means you multiply 39 by 2 which means you get 78 ounces.
Molly uses 39 ounces of strawberry juice and 78 ounces of water to get 39 ounces of Strawberry Infused Water.
if x² = √16 = x
true or false?
Step-by-step explanation:
it is true
the square root of 16 is 4
Can someone tell me the answer to the domain and range please
Answer:
1)
D) -4<x≤-1
R) 4>y≥2
2)
D) 3≤x<5
R) 0≥y>-3
Step-by-step explanation:
(only in 7th so might be wrong)
1)
D) -4<x≤-1
R) 4>y≥2
2)
D) 3≤x<5
R) 0≥y>-3
Just find the range of how far the function goes (both how high; y, and how far; x)
Chris is studying a type of coral that grows at a constant rate. They measured the age and height of 3
pieces of the coral. Here's what they found:
The equation is; y = 7/2x
What is the equation?We know that we could be able to obtain the equation by the use of the equation is a straight line. The general form of the equation of a straight line is given as y = mx +c
The first thing that we must do is to obtain the slope of the graph from;
m = y2 - y1/x2 x1
m = 45 - 15/6 - 2
m = 7/2
The graph begins at origin hence c = 0
y = 7/2x
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3-11-(-6) subtract this and thank youuuuuu
Answer:
3-11-(-6)
the answer will be
-2
Calculate the distance between Point A (-8,-2) and Point B(6,-1) Leave the answer in radical form.
the distance between Point A (-8,-2) and Point B(6,-1) in Radical form= [tex]\sqrt{197}[/tex]
Distance formula:
The distance between two points formula uses the coordinates of two points in space. In coordinate geometry, the distance between two points can be calculated using the distance formula, present in a two-dimensional or three-dimensional space. The distance formula for two points is also an application of the Pythagoras theorem
the distance formula is used to find the distance between any two points when we already know the coordinates. The points could be present alone on the x-axis or y-axis or on both axes.
Let us consider, that there are two points say A and B in an XY plane. The coordinates of point A are (x1,y1), and of B are (x2,y2). Then the formula to find the distance between two points PQ is given by:
AB=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]
Note: If the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:
PQ = |x2 – x1|
the distance between point origin O(0,0) and P(x,y) is given by:
OP = √((x2 – 0)² + (y2 – 0)²)
OP = √((x2)² + (y2)²)
or simply,
OP = √(x² + y²)
Solution :
where x and y are coordinates of points other than the origin.
Given :
(x1,y1) = (-8,-2)
(x2,y2)= (6,-1)
Solution:
[tex]d=\sqrt{x^{2} +y^{2} } \\d=\sqrt{(6+8)^{2} +(-1+2)^{2} } \\d=\sqrt{14^{2}+1^{2} } \\[/tex]
[tex]d=\sqrt({197)[/tex]
Radical form= [tex]\sqrt{197}[/tex]
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April wants to borrow $200 from her father and is willing to pay $9 in Interest. Her father wants to charge an interest rate of 6%. How long can April keep the money?
Answer:
principle (p)= $200
interest (I) =$9
Rate (R) = 6%
time (T)= ?
we know,
Time(T) = I×100÷P×R
= 9×100÷ 200×6
= 3÷4 years
write an equation of the line through the two points -1,-6 and 3,-14
Answer: an equation of the line in slope-intercept form (y=mx+b) is
y = -2x - 8
Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer: x=28/3
Step-by-step explanation:
6/8=7/x
3/4=7/x
3x/4=7
3x=28
x=28/3
Answer: the answer is 9 or 9.333333
Two more than the quotient of a number and 9 equals 5
In linear equation , the quotient of a number n= 27
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.2 + N/9 = 5
N/9 = 5 - 2
N/9 = 3
N = 9*3
N=27
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Brainliest, 30 pts, thanks, 5 star guarantee.
The triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
The reflection does not change the shape and size of the geometry. But flipped the image.
The triangle ΔXYZ is reflected across the line AB to get the tringle ΔX'Y'Z'.
The diagram is given below.
A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.
Thus, the triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.
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How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
The function g(x) increases at a faster rate and has a greater initial value.
Simplify f(x).[tex]f(x) = \left(\sqrt{16}\right)^{x}[/tex][tex]f(x) =\left(\sqrt{4^{2}}\right)^{x}[/tex][tex]f(x) = \left(4\right)^{x}[/tex]Simplify g(x).[tex]g(x)=3\left(\sqrt{64}\right)^{x}[/tex][tex]g(x)=3\left(\sqrt{8^{2}}\right)^{x}[/tex][tex]g(x)=3\left(8\right)^{x}[/tex]Compare the functions f(x) and g(x).f(x) and g(x) are not equivalent as the bases of the exponents are different.We will find the initial value for both our functions (value of functions when x is 0).For x=0,[tex]f(0)=\left(4\right)^{0} = 1[/tex][tex]g(0)=3\left(8\right)^{0}=3*1=3[/tex]The initial value of g(x) is greater than the initial value of f(x).In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.With the help of a graphing tool, the two functions were plotted.The function g(x) increases at a faster rate than the function f(x)(see the attached figure).That means that the value of g(x) is greater than the value of f(x) for the same value of x.Thus,The function g(x) increases at a faster rate and has a greater initial value.To learn more about graph, visit :
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A rectangular block has a mass of 1088g. The dimensions of the block are 8cm by 5cm by 4cm. What is the density of the block?
Answer:
277g / 40cm³
Step-by-step explanation:
Density = mass / volume
In this case:
volume = 8cm*5cm*4cm = 160cm³
then:
Density = 1088g / 160cm³ = 544g/80cm³ = 277g/40cm³
i need this answer asap please
Answer:
a. y + 3 = 0
Step-by-step explanation:
x-axis has slope of 0 so any lines parallel to x-axis has slope of 0
With m = 0 , x = -4, y = -3
y = mx + b
-3 = (0)(-4) + b
b = -3
so y = -3
or y + 3 = 0
The lowest form of this fraction 49/100
The lowest form of this fraction 49/100 is still 49/100.
How to compute the value?It should be noted that a fraction can only be reduced to its lowest term if it has a common factor.
In this case, there is no common factor between 49 and 100.
Therefore, the lowest form of this fraction 49/100 is still 49/100
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- 8/32 in simplistic form
d + 9 = 35 6th grade
Answer:
D = 26
Step-by-step explanation:
All you have to do is subtract 35 by 9, which is 26.
So,
26 + 9 = 35
S = 2πr(r + h)
Find the total surface area of a cylinder with radius 3 and height 5.
Enter an exact answer in terms of pie
Answer:
Step-by-step explanation:
We would substitute in 3 for r and 5 for h
s = 2[tex]\pi[/tex](3 + 5)
s = 2[tex]\pi[/tex]8
2 = 16[tex]\pi[/tex]
For the following equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation.
y = - 4x + 8
The graph of the linear equation can be seen in the image below.
How to complete the table?
Here we have the linear equation:
y = -4x + 8
And we want to find 3 ordered pairs, to do so, we need to evaluate x in different values.
if x = 0 then:
y = -4*0 + 8 = 8
So we have the ordered pair (0, 8).
if x = 1 then:
y = -4*1 + 8 = 4
Then we have the ordered pair (1, 4)
If x = 2 then:
y = -4*2 + 8 = 0
Then we have the ordered pair (2, 0).
Now that we have these 3 ordered pairs, we can graph them in a coordinate axis and then connect them with a line, we will get something like the graph below.
That is the graph of our linear equation:
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Jan is saving money to buy a bike. The bike costs $255. She has $120 saved and each week she adds $15 to her savings. Write and solve an equation to find how long will it take her to save enough money to buy the bike.
Guys I need help pls tell me the remainder too
Answer:
0.12245454545 (Quotient = 0 Remainder = 2.694)
Step-by-step explanation:
Divide 2.694 by 22. The quotient is 0 with a remainder of 2.694
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can someone help me with this?
The value of the function f(-4) = 16.
What is termed as the function?A function is categorized as a relationship between a set of inputs that each have one output.
A function is an association between inputs in which each input is connected to exactly one output. Each function has a domain as well as a co domain, as well as a range. In general, a function is denoted by f(x), where x is really the input.For the given function in the question;
f(x) = x ² , if x < 0.
f(x) = 0 , if x = 0.
f(x) = 2x + 1 , if x > 0
Now, estimate the values;
(a) f(-4)
As, the value of the x to be substitute is negative, the function used will be.
f(x) = x ² ,for x < 0.
Put the value x = -4
f(-4) = (-4)²
f(-4) = 16
The value of f(-4) = 16.
(b) f(0)
As the value of function is zero.
Then,
f(x) = 0 , if x = 0.
Put x = 0 in function we will get.
f(x) = 0.
(c) f(2)
As the value to be substituted is positive, the function used is;
f(x) = 2x + 1 , if x > 0
Put x = 2
f(2) = 4 + 1
f(2) = 5
Thus, the value of f(2) is 5.
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You save $15 each month to buy a tablet that
Cost $184.99. Describe the number of monins
gou need to save to buy the tablet.
Answer:
13
Step-by-step explanation:
........................
angles are measured in _________
