Answers
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
Related Questions
what is the mean of 17, 19, 21, 23
Answers
Answer:
20
Step-by-step explanation:
Answer:
i got 15.5
Step-by-step explanation:
The blades of a windmill turn on an axis that is 40 feet from the ground. The blades are 15 feet long and complete 3 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate.
a is the ___
The vertical shift, k, is the _____________
a =
k =
Answers
Answer:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_
[tex]a = 15\ ft\\\\k = 40\ ft[/tex]
[tex]y = 15sin(\frac{\pi}{10}t) + 40[/tex]
Step-by-step explanation:
In this problem the amplitude of the sinusoidal function is given by the length of the blades.
[tex]a = 15\ ft[/tex]
The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:
[tex]k = 40\ ft[/tex]
We know that the blades have an angular velocity w = 3 rotations per minute.
One rotation = [tex]2\pi[/tex]
1 minute = 60 sec.
So:
[tex]w = \frac{3(2\pi)}{60}\ rad/s[/tex]
[tex]w = \frac{\pi}{10}\ rad/s[/tex]
Finally:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_
[tex]a = 15\ ft\\\\k = 40\ ft[/tex]
[tex]y = 15sin(\frac{\pi}{10}t) + 40[/tex]
Answer:
a is the length of the blade
the vertical shift , k, is the height of the windmill
a= 15 k= 40
the period is 20 seconds
b = pi/10
y=15sin(π/10t)+40
Step-by-step explanation:
Please help and thank you
Answers
Answer:
D
Step-by-step explanation:
The Answer is D, first you would multiply A by 2, then divide it by h. You would then subtract b2 giving you D.
The correct option is D
Step-by-step explanation:See the image
The price of an item is $21.75. You give the cashier a $20 and a $10 bill. What is the change?
Answers
Answer:
$8.25
Step-by-step explanation:
We first need to find the amount of money we give the cashier
20+10 = 30
We give the cashier 30 dollars
Our bill was 21.75
30.00
-21.75
---------------
We need to borrow
2 10.00
-2 1 .75
---------------
We need to borrow
2 9. 10 0
-2 1 .7 5
---------------
We need to borrow
2 9. 9 10
-2 1 .7 5
---------------
8 .2 5
We will get $8.25 back from the cashier
Answer:
Step-by-step explanation:
I gave total $20+$10= $30
$30-$21.75= $8.25
How to solve this equation
Answers
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{x^2=81}[/tex][tex]\bold{Take\ your\ particular\ root\ (square\ root\ preferably)}[/tex][tex]\rightarrow{\bold{x=\pm\sqrt{81}}}[/tex][tex]\bold{\frac{\sqrt{81}}{9}=9}[/tex][tex]\boxed{\boxed{\bold{Answer:x\rightarrow9\ or\ x\rightarrow-9}}}\checkmark[/tex][tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Is 63 cm greater than less than or = to 6 m
Answers
63cm is smaller than 6 m
63 cm is less than 6 m. A centimeter is a small unit used to measure length. It is equal to one hundredth of a meter. The term "centi" is used in the International System of Units to represent 1/100 of something.
What is the centimeter?To look at the lengths of 63 cm and 6 m, one need to ensure that both values are in the same unit of measurement. Since 6 m is in meters, we should convert 63 cm to meters before making the comparison.
1 meter is equal to 100 centimeters, so one can convert 63 cm to meters by dividing it by 100:
63 cm = 63/100 m = 0.63 m
So, both values are in meters, and one can compare them:
0.63 m < 6 m
Therefore, one can say that 63 cm is less than 6 m.
Read more about centimeter here:
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Find the volume of 5.4 inches 2 inches 7.1 inches round to the nearest 10th is necessary
Answers
Answer:
If it is a cube, the answer would be 76.7 .
Step-by-step explanation:
Use the quadratic formula to solve Round irrational solutions to the nearest tenth
Answers
Answer:
C. x = -5.6 and x = -1.4
Step-by-step explanation:
The quadratic formula is [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]. Here a=1, b=7, and c=8.
Substitute and you'll have:
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-7+/-\sqrt{7^2-4(1)(8)} }{2(1)}=\frac{-7+/-\sqrt{49-32} }{2)}[/tex]
[tex]\frac{-7+/-\sqrt{17} }{2}=\frac{-7+/-4.1 }{2}= -1.4, -5.6[/tex]
HURRY PLEASE!!!!! Triangle RST is translated 2 units left and then reflected over the y-axis.
I cant post the pictures but the points are on s(-4,4) t(-1,4) r(-1,1)
Which transformations of RST will result in the same image? Check all that apply.
a reflection over the y-axis and then a translation 2 units right
a 180 rotation about the origin, then a translation 2 units right, and then a reflection
over the x-axis
a reflection over the y-axis and then a translation 2 units left
a 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis
a reflection over the x-axis and then a translation 2 units right
a reflection over the x-axis and then a translation 2 units left
Answers
Answer:
The correct options are 1 and 2.
Step-by-step explanation:
The vertices of triangle are S(-4,4), T(-1,4), R(-1,1).
If triangle translated 2 units left,
[tex](x,y)\rightarrow (x-2,y)[/tex]
and then reflected over the y-axis,
[tex](x-2,y)\rightarrow (-x+2,y)[/tex]
The relation between image and preimage is
[tex](x,y)\rightarrow (-x+2,y)[/tex] ..... (1)
The vertices of image are
[tex]S(-4,4)\rightarrow S'(6,4)[/tex]
[tex]T(-1,4)\rightarrow T'(3,4)[/tex]
[tex]R(-1,1)\rightarrow R'(3,1)[/tex]
Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).
1. A reflection over the y-axis and then a translation 2 units right is defined as
[tex](x,y)\rightarrow (-x+2,y)[/tex]
It is equivalent to relation 1, therefore option 1 is correct.
2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as
[tex](x,y)\rightarrow (-x+2,y)[/tex]
It is equivalent to relation 1, therefore option 2 is correct.
3. A reflection over the y-axis and then a translation 2 units left is defined as
[tex](x,y)\rightarrow (-x-2,y)[/tex]
It is not equivalent to relation 1, therefore option 3 is incorrect.
4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as
[tex](x,y)\rightarrow (-x-2,y)[/tex]
It is not equivalent to relation 1, therefore option 4 is incorrect.
5. A reflection over the x-axis and then a translation 2 units right is defined as
[tex](x,y)\rightarrow (x+2,-y)[/tex]
It is not equivalent to relation 1, therefore option 5 is incorrect.
6. A reflection over the x-axis and then a translation 2 units left is defined as
[tex](x,y)\rightarrow (x+2,-y)[/tex]
It is not equivalent to relation 1, therefore option 6 is incorrect.
Therefore the correct options are 1 and 2.
Answer:
1 and 2 are the correct answers.
Step-by-step explanation:
Circus and animal trainers rely on conditioning to train animals to perform tricks. How does this conditioning work?
Question 5 options:
The trainer uses a stimulus, paired with a reward to get the response they want.
The animals inherit these amazing abilities from their parents.
The trainers can imprint certain behaviors on very young animal.
The animals are punished for their natural behaviors.
Answers
Answer: the trainer uses a stimulus, paired with a reward to ge the response they want.
Step-by-step explanation:
The equation of a line is x = -4 what is the slope
Answers
The slope is undefined because it is a vertical line
Answer:
The slope is undefined.Step-by-step explanation:
The vertical line equation has the form x = a (a - any real number).
The vertical line has an undefined slope.
We have x = -4. It's a vertical line. Therefore, the slope is undefined.
Find the roots of the polynomial equation.
Answers
Answer:
3 ± i5
Step-by-step explanation:
Here we're given four sets of possible roots of the given polynomial. Each set consists of two complex quantities and 1 real quantity.
First, we determine whether +4 is a root, then whether -4 is a root. Let's use synthetic division to do that:
-----------------------
4 / 1 -2 10 136
4 8 72
---------------------------
1 2 18 208 Since the remainder is not zero, 4 is not a root.
Eliminate the first two possible answer choices, and assume that -4 is a root.
Let's check this out to be certain:
-----------------------
-4 / 1 -2 10 136
-4 24 -136
---------------------------
1 -6 34 0
Since the rem. is zero, -4 is a root, and the coefficients of the 2nd-degree quotient are 1, -6 and 34.
In other words, a = 1, b = -6 and c = 34.
Let's apply the quadratic rule to find the roots:
6 ± √(36 - 4[1][34] ) 6 ± √ (-100)
x = ------------------------------ = ----------------------- = 3 ± i5
2 2
So the correct answer is the last one of the four given possible answers:
3 ± i5
Answer:
[tex]3+5i, 3-5i,-4[/tex]
Step-by-step explanation:
Given is a cubic equation in x as
[tex]x^3-2x^2+10x+136=0[/tex]
We know by remainder theorem if f(a) =0 then x=a is a root
Constant term = 136 has factors as 1,2,4,8, 17, 34
We find that f(a) not 0 for a =1,2.
[tex]f(1) = 144\\f(2) = 156\\f(-1) = 123\\f(-4) = -64-2(16)+10(-4)+136 = 0[/tex]
Hence [tex]x=-4[/tex] is one zero.
We can divide by x+4 to make it as a quadratic equation
[tex]x^3-2x^2+10x+136=(x+4)(x^2-6x+34)[/tex]
Now using quadratic formula we can find other roots
[tex]x^2-6x+34=0[/tex] has roots as
[tex]x=\frac{6+/-\sqrt{36-136} }{2} \\=3+5i, 3-5i[/tex]
Thus roots are
[tex]3+5i, 3-5i,-4[/tex]
What 1/4 plus 1/2 is
Answers
Answer:
the answer is 3/4
Step-by-step explanation:
Answer:
The correct answer is 3/4
Step-by-step explanation:
1/2+1/4=3/4
find the surface area of a prism
Answers
The surface area of a rectangular prism is SA = 2wl + 2lh + 2hw
Answer:
There is no prism
Step-by-step explanation:
Simplify: 3^2 * 3^4
Answers
3^2 = 9
3^4= 81
9 x 81 = 729
Your answer is 729 . Good luck (:
Assume that a DVD player loses 60% of its value every year it is a video store. Suppose the initial number of the DVD player was $80.
What multiplier would you use to calculate the DVD players new values
Answers
a.)0.4 is the multiplier
b.)$32 after 1 year, $2.048(or $2.05) after 4 years
c.)V(t) = 80(0.4)t
d.)10 years because it will be below 2 cents
e.) [The graph isn't hard, you just have to plug in the numbers into y=80(0.4)^x]
The multiplier we would use to calculate the DVD players is [tex]80(0.4)^x[/tex].
What is exponential decay and exponential rise ?We get exponential rise when the base of the variable exponent is greater than 1 and exponential decay when base is less than 1.
According to the given question a DVD player loses 60% of its value every year it is a video store.
Also given that the initial value of the DVD player was 80 dollars.
If every years it looses 60% of it's value means it retains it's 40% value and 40% in decimal or fraction can be written as 40/100 = 4/10 = 2/5 = 0.4.
Let us denote the numbers of years by x.
∴ To calculate DVD player value each year after year we'll use [tex]80(0.4)^x[/tex] and it will be an exponential decay as multiplies is less than 1.
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Help me answer this question:/
Answers
Answer: [tex](f\°g)(0)=3[/tex]
Step-by-step explanation:
- For the function g(x) you must find the value of y (output value) when [tex]x=0[/tex]. As you can see in the graph (observe the parabola), when [tex]x=0[/tex] (input value), then:
[tex]y=2[/tex] or [tex]g(0)=2[/tex]
- Now, 2 will be the input value of the function f(x). Then, you must find the value of y (output value) when [tex]x=2[/tex]. As you can see in the graph of this function, when [tex]x=2[/tex], then:
[tex]y=3[/tex] or [tex]f(2)=3[/tex]
Therefore, you can conclude that:
[tex](f\°g)(0)=3[/tex]
can somebody please help me find the volume of this triangular prism?
Answers
Check the picture below.
the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus
[tex]\bf \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=9\\ h=6 \end{cases}\implies A=\cfrac{1}{2}(9)(6)\implies A=27 \\\\\\ \stackrel{\textit{volume of the triangular prism}}{V=27\cdot 8}\implies V=216[/tex]
Evaluate the expression 5 to the second power (72-45) divided by 5
Answers
Answer:
Step-by-step explanation:
5^2(72-45)/5
25(27)/5
675/5
135
Final answer:
The evaluated expression of 5 to the second power (72 - 45) divided by 5 is 135. This is found by subtracting inside the parentheses, squaring the number 5, multiplying these results, and finally dividing by 5.
Explanation:
Evaluating the Expression
To evaluate the expression 5 to the second power (72 - 45) divided by 5, we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, we calculate the value within the parentheses:
72 - 45 = 27
Next, we raise 5 to the second power (also known as squaring a number):
52 = 5 × 5 = 25
Now, we multiply this result by the value we found within the parentheses:
25 × 27 = 675
Last, we divide by 5:
675 ÷ 5 = 135
Therefore, the evaluated expression is 135.
Plz help!!!!!!!!!!!!
Answers
Answer: [tex]\bold{x^{\frac{1}{3}}}[/tex]
Step-by-step explanation:
[tex]\sqrt[6]{x^2} =x^{\frac{2}{6}}=x^{\frac{1}{3}}[/tex]
You randomly draw a marble from a bag of marbles that contains 333 blue marbles, 444 green marbles, and 555 red marbles.
What is \text{P(draw a blue marble})P(draw a blue marble)P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, right parenthesis?
Answers
Answer:
1/4 or 0.25
Step-by-step explanation:
Isn't latex a devil?
You want to know the probability of a blue marble.
Formula
P(blue) = #Blue / # Total
Givens
#Blue = 333
#Total = 333 + 444 + 555 = 1332
Solution
P(blue) = 333 / 1332 Divide by 111
P(blue) = 3/12
P(blue) = 1/4 or 0.25
Answer:
1/4 or 0.25
Step-by-step explanation:
Rebecca must complete 15 hours of volunteer work .she does 3 hours each day . Write a linear equation in slope intercept form to represent the house Rebecca still has to work for after x days
Answers
Answer:
Step-by-step explanation:
House?
Number of hours left to work(x) = 15 hours - (3 hours/day)x
Note how this Number of hours decreases steadily from its initial value (15 hours) at the rate of 3 hours/day. The domain of x is [0,5].
By slope intercept form, the number of days that the Rebecca should volunteer exists 5 days.
What is meant by slope intercept form?The "equation of the straight line exists y = mx + c this form exists named slope intercept form".
Rebecca must complete 15 hours of volunteer work. She does 3 hours each day.
The linear equation exists in slope intercept form exists y = mx + c, where 'm' exists the slope straight line and 'c' exists y-intercept.
y = 15 hours - 3 hours/day x days
y = 15 - 3x ............(1)
To find y-intercept put x=0 in (1) we get,
y = 15 - 3(0)
= 15
y = 15
which exists the amount of volunteer hours.
Rebecca must complete at day 0.
0 = 15 - 3x
3x = 15
x = 5 [Number of days Rebecca would have to volunteer]
Therefore, utilizing slope intercept form, the number of days that the Rebecca should volunteer exists 5 days.
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Solve please!!!!!!!!!!
Answers
I'm pretty sure the answer is D
Answer:
The answer is D
Step-by-step explanation:
To find the slope you do y2-y1/x2-x1. This will leave you with 3/1 which is equivalent to 3.
What's the volume of a pipe at a port that is 4 feet in diameter 24 ft long
A. 603.1872
B. 150.7968
C. 314.1632
D. 301.5936
Answers
answer: D
explanation:
volume is equal to length * surface area.
surface of a tube base is a circle, so it' surface are can be calculated as:
[tex]\pi \: {r}^{2} [/tex]
where r is a radius
[tex] r \: = \frac{1}{2} diameter[/tex]
so you calculate volume V as:
[tex]v \: = \pi( {r}^{2} ) \times length \: = \pi \times \frac{1}{4} \times {diameter}^{2} \times length[/tex]
[tex]v = 3.14 \times \frac{1}{4} \times 4 \times 4 \times 24 = 301.44[/tex]
so the answer is D
Which function is represented by the graph?
a). f(x)=-2x+6
b). f(x)2x+6
c). f(x)1/2x +6
d). f(x)=-1/2x +6
Answers
Answer:
d). f(x)=-1/2x +6 (see attachment)
Step-by-step explanation:
a school has 18 classes with 35 students in each class in order to reduce the class size 30 how much new classes much must be formed
Answers
Answer: 3 classes
If we removed 5 students from each of the classrooms, we would be able to keep the 18 classes and give them exactly 30 students. However, we would also have the leftover students to put into classrooms.
If there are 18 classrooms with 5 extra students from each, we can use 18*5 to find how many total students we have.
18 * 5 = 90.
If each class size is 30, we need to divide 90 by 30 to find how many classes we need.
90 / 30 = 3 classes
Therefore, to reduce the class size to 30 students per class, 3 new classes must be formed.
To reduce the class size from 35 students to 30 students in a school with 18 classes, we need to calculate the total number of students and then determine how many new classes are needed.
1. **Total number of students:**
[tex]\[ \text{Total students} = 18 \text{ classes} \times 35 \text{ students/class} = 630 \text{ students} \][/tex]
2. **Number of classes required with 30 students per class:**
[tex]\[ \text{Required classes} = \frac{630 \text{ students}}{30 \text{ students/class}} = 21 \text{ classes} \][/tex]
3. **New classes to be formed:**
[tex]\[ \text{New classes} = \text{Required classes} - \text{Current classes} = 21 - 18 = 3 \text{ classes} \][/tex]
Please help I’m really stuck !!
Answers
The number in the parenthesis is the X value and they are looking for what the Y value is at that specific X.
So when you look at f(-2), find the Y value where the line crosses.
At X-2, the line crosses Y at -2
At X = 2, the line crosses at Y = 2
At X = 4, the line crosses at Y = 1
The answer is -2,2,1
Circle A has area 500 in2. The diameter of circle B is three times the diameter of circle A. Estimate the area of circle B.
Answers
Answer:
456.5
Step-by-step explanation:
The area of circle B is 4,500.81 inches².
The first step to take in order to determine the answer is to determine the value of the diameter of circle B.
Area of a circle = πr²
Where :
π = pi = 3.14
R = radius
500 = 3.14r²
r = √(500 / 3.14)
r = 12.62 inches
Diameter = 2 x radius
2 x 12.62 = 25.24 inches
The second step is to determine the diameter of circle B.
Dimeter of circle B = 3 x 25.24 inches = 75.72 inches
Radius of circle B = 75.72 inches / 2 = 37.86 inches
Determine tie area of circle B
Area of circle B = 3.14 x 37.86² = 4,500.81 inches²
To learn more about the area of a circle, please check: https://brainly.com/question/21979774?referrer=searchResults
the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pressure is 25 pounds per square inch. what is the pressure when the volume is 125 cubic inches
Answers
Answer:
The pressure is [tex]20\ psi[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
[tex]V*P=k[/tex]
where
V is the volume of a gas at a constant temperature
P is the pressure
we have
For [tex]V=100\ in^{3}[/tex],[tex]P=25\ psi[/tex]
step 1
Find the value of k
substitute the values of V and P
[tex]100*25=k[/tex]
[tex]k=2,500[/tex]
The equation is equal to [tex]V*P=2,500[/tex]
step 2
Find the pressure when the volume is 125 cubic inches
For [tex]V=125\ in^{3}[/tex]
substitute in the equation and solve for P
[tex]125*P=2,500[/tex]
[tex]P=2,500/125=20\ psi[/tex]
point q is the midpoint on line segment pr. the coordinates of point P are (-5, -3) and the coordinates of point Q are (-2, -6)
What is the y coordinate of point R?
Answers
Answer:
The y coordinate of point R is [tex]-9[/tex]
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
In this problem
[tex]R(x2,y2)[/tex]
[tex]Q(-2,-6)=(\frac{-5+x2}{2},\frac{-3+y2}{2})[/tex]
so
[tex]-2=(-5+x2)/2[/tex] --->[tex]x2=-4+5=1[/tex]
[tex]-6=(-3+y2)/2[/tex] --->[tex]y2=-12+3=-9[/tex]
therefore
The y coordinate of point R is [tex]-9[/tex]