Answer:
A) [tex]5^3*5^{-4}=5^{3-4}=5^{-1}=\frac{1}{5}[/tex] (Yes. It has a value between zero and one.)
B) [tex]\frac{3^5}{3^{-6}}=3^{5-\left(-6\right)}=3^{5+6}=3^{11}=177147[/tex] (No. It does not have a value between zero and one.)
C) [tex]\left(\frac{1}{4}\right)^3* \left(\frac{1}{4}\right)^2=\left(\frac{1}{4}\right)^{3+2}=\left(\frac{1}{4}\right)^5=\frac{1^5}{4^5}=\frac{1}{1024}[/tex]. (Yes. It has a value between zero and one.)
D) [tex]\frac{\left(-7\right)^5}{\left(-7\right)^7}=\left(-7\right)^{5-7}=\left(-7\right)^{-2}=\frac{1}{\left(-7\right)^2}=\frac{1}{49}[/tex] (Yes. It has a value between zero and one.)
Answer:
see below
Step-by-step explanation:
A. 5^3 * 5^-4 = 1/5
It has value between 0 and 1
B. 3^5 / 3^-6 = 177147
It doesn't have a value between 0 and 1
C. (1/4)^3 * (1/4)^2 = 1 / 1024
It has value between 0 and 1
D. (-7)^5 / (-7)^7 = 1/49
It has value between 0 and 1
: Consider the distance from the school to the coffee shop and the
distance from the library to the coffee shop. Draw their respective
line segments in the above graph. If the school is relocated in a
way that it is collinear to the coffee shop and the library, and the
distance to the coffee shop is preserved, then the point
representing the school will partition the line segment from the
coffee shop to the library in a x: y ratio. What are the values of x
and y?
Answer:
x = 7 and y = 1
Step-by-step explanation:
Coordinates of Coffee shop = (12, 16)
Coordinates of Library = (16, 8)
School has been shifted to the new position so that distance of school is preserved from the coffee shop.
Coordinates of the new position of school = (15, 10)
Ratio in which distance between coffee shop and library is divided by the location of school is x : y.
If a segment having extreme ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is divided into two parts by point (x, y) in the ratio of m : n,
x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]
y = [tex]\frac{my_2+ny_1}{m+n}[/tex]
From the points given in the picture,
15 = [tex]\frac{16x+8y}{x+y}[/tex]
15x + 15y = 16x + 8y
15y - 8y = 16x - 15x
7y = x
[tex]\frac{x}{y}=\frac{7}{1}[/tex]
Therefore, x = 7 and y = 1 will be the answer.
help me please!!!!!!
write an equation in slope-intercept form for the line passing through each pair of points. (-4,-2) and (2,3)
Answer:
y = 5/6x +4/3
Step-by-step explanation:
The 2-point form of the equation for a line is a useful place to start.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (3 -(-2))/(2 -(-4))(x -(-4)) -2
y = 5/6(x +4) -2
y = 5/6x +20/6 -12/6
y = 5/6x +4/3
Please help with this simultaneous equation you can use any method(Only number 6)
Answer:
Pencil: $0.60 Rubber: $0.48
Step-by-step explanation:
Let the cost of a pencil be p and the cost of a rubber be r.
[tex]p+r=1.08[/tex] (Equation 1)
[tex]4p=5r[/tex] (Equation 2)
Divide both sides by 4:
[tex]p=\frac{5}{4} r[/tex]
Substitute this into Equation 1:
[tex]\frac{5}{4} r+r=1.08[/tex]
Multiply both sides by 4:
[tex]\frac{5}{4}r* \:4+r* \:4=1.08*4[/tex]
[tex]5r+4r=4.32[/tex]
[tex]9r=4.32[/tex]
Divide both sides by 9:
[tex]\frac{9r}{9}=\frac{4.32}{9}[/tex]
[tex]r=0.48[/tex]
Since r + p = 1.08,
[tex]p=1.08=0.48=0.60[/tex]
Find MP.
MN=17
NP=3y
MP=5y+9
Answer:
[tex] MP = 29 [/tex]
Step-by-step explanation:
Given:
[tex] MN = 17 [/tex]
[tex] NP = 3y [/tex]
[tex] MP = 5y + 9 [/tex]
[tex] MN + NP = MP [/tex] (segment addition postulate)
[tex] 17 + 3y = 5y + 9 [/tex] (substitution)
[tex] 3y = 5y + 9 - 17 [/tex] (subtracting 17 from each side)
[tex] 3y = 5y + 8 [/tex]
[tex] 3y - 5y = 5y - 8 - 5y [/tex] (Subtracting 5y from both sides)
[tex] -2y = 5y - 8 - 5y [/tex]
[tex] -2y = - 8 [/tex]
[tex] y = 4 [/tex] (dividing both sides by -2)
[tex] MP = 5y + 9 [/tex]
Plug in the value of y
[tex] MP = 5(4) + 9 = 20 + 9 [/tex]
[tex] MP = 29 [/tex]
How do you do number 15?
Answer:
11 x 11 = 121
Step-by-step explanation:
11 squared means we must multiply 11 and 11. People often mistaken squared by multiplying a number by two.
Hope this helps!
How many solutions does this equation have? 3s − 8 = 2s
3s - 8 = 2s
First, let's subtract 3s from both sides
-8 = -s
Divide both sides by -1
8 = s
You have one solution which is s = 8
There is only a solution for the given equation 3s − 8 = 2s, s=8.
What is the equation?A mathematical equation is a claim that two expressions, which may contain variables or numbers, are equal. Equations are essential questions, and the main motivations for the development of mathematics have been efforts to methodically find answers to these questions.
It is given that the equation is,3s − 8 = 2s.
In order to find the value of s we have to simplify the given equations by applying the arithmetic operations.
3s - 8 = 2s
3s-2s= +8
s=8
Thus, the number of the solution for the given equation will be 1.
Learn more about the equation here,
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“Determine the perimeter of the triangle to the nearest whole unit” on #4
Answer:
P=a+b+c
please mark me as the brainliest answer and please follow me for more answers to your questions.
pls help me its timed and for a grade I really struggle with this.
Answer:
scalene
Step-by-step explanation:
you can tell by the shape
would anyone be able to help me with my algebra 1b class i can pay u on cashapp or sum my sc is okokbrittneyyy
Answer:
I can help u. don't worry i don't really want to be payed. I'll help u for free if I can. What's ur question.
Step-by-step explanation:
What is the square root of 8?
Answer:
square root of 8 is 2.82842712475
If you meant 8^2 then it would be 64
Step-by-step explanation:
Find x
-x = 7x - 56
Answer:
the answer is 7
Step-by-step explanation:
Add the same term to both sides of the equation
-x=7x-56
−x=7x−56
−x−7x=7x−56−7x
How to write a mixed number in science notation [tex]45\frac{3}{8}[/tex]
Answer:
[tex]4.5375*10^1[/tex]
Step-by-step explanation:
The long division for 3/8 results in getting 0.375, so 45 3/8 is 45.375.
From here, the only thing you can really do is divide it by 10 to get
4.5375 and since you can't divide further, the answer would be
4.5375 * 10^1
Midpoint of (-8,7) and (-9,11)
Answer:
(-8.5,9)
Step-by-step explanation:
((-8+(-9))/2=-8.5
(7+11)/2=9
(-8.5,9)
Answer:
(-8.5, 9)
Step-by-step explanation:
use midpoint formula
(-8 + -9) ÷2 , (7 + 11) ÷ 2
-17 ÷ 2 , 18 ÷ 2
-8.5 , 9
so the coordinates of the midpoint are (-8.5, 9)
NEED HELP!!!
Solve each proportion.
Leave your answer as a fraction in simplest form.
Questions in pictures...
Answer:
see explanation
Step-by-step explanation:
(1)
[tex]\frac{6}{2}[/tex] = [tex]\frac{4}{p}[/tex] ( cross- multiply )
6p = 8 ( divide both sides by 6 )
p = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
(2)
[tex]\frac{n}{4}[/tex] = [tex]\frac{8}{7}[/tex] ( cross- multiply )
7n = 32 ( divide both sides by 7 )
n = [tex]\frac{32}{7}[/tex]
(3)
[tex]\frac{5}{3}[/tex] = [tex]\frac{x}{4}[/tex] ( cross- multiply )
3x = 20 ( divide both sides by 3 )
x = [tex]\frac{20}{3}[/tex]
There are 5.2 x 10^5 words in the English dictionary. What is the average number of words recorded under each of the 26 letters? Give your answer in scientific notation.
Answer:
2.0*10^4
Step-by-step explanation:
[tex]5.2 *10^5[/tex] words
26 categories
[tex]\frac{5.2 *10^5}{26} =\frac{520 000}{26} =20 000[/tex]
[tex]2.0*10^4[/tex]
so there is an average of 2.0*10^4 words per letter
Find another real number that is between the pair of numbers: 8,10
Answer:
9
Step-by-step explanation:
1, 2, 3, 4, 5, 6, 7, 8, , 10
in the space comes 9!
69. 18 + x = 43
How do you do this ? Please help
Answer:
x=-26.18
Step-by-step explanation:
69.18+x=43
-69.18 -69.18
x=-26.18
If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of pink will be the same. ◦ Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint. ◦ Priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint. Are these two batches the same shade of pink? Explain.
Answer:
No,
Step-by-step explanation:
be a light pink and one would be a darker shade of pink.because
The given two batches doesn't have the same shade of pink because the proportion of 7 cups of red : 4 cups of white is greater than 5 cups of red : 3 cups of white.
What is proportion?A proportion is an equation in which two ratios are set equal to each other. In simple words, equivalent fraction are called as proportions.
Now it is given that,
Mai's pink contains- 5 cups of red paint and 3 cups of white paint
So, Ratio of red : white = 5 : 3
⇒ 5/3 = 1.67
Priya;s pink contains- 7 cups of red paint and 4 cups of white paint
So, Ratio of red : white = 7 : 4
⇒ 7/4 = 1.75
Thus, the proportion of 7 : 4 > 5 : 3
Thus, the given two batches doesn't have the same shade of pink because the proportion of 7 cups of red : 4 cups of white is greater than 5 cups of red : 3 cups of white.
To learn more about proportions :
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One of the main reasons why individuals make investments based on their future
financial needs is to do which of the following?
Answer:
Secure a future for upcoming generation
The length of a rectangle is 4 units shorter that half the with .if the length of the rectangle is 18 units,which equation can be used to find w , the width of rectangle
Hey there! I'm happy to help!
Let's call our length and width L and W respectively.
L=1/2W-4
L=18
Since L is equal to 18, we can just replace the L in the first equation with 18 and solve.
1/2W-4=18.
We add 4 to both sides.
1/2W=22
We divide both sides by 1/2.
W=44
Have a wonderful day! :D
Answer:
The answer is a 18= w/2-4
Step-by-step explanation:
hope this helps!!!!!!!!!!
1. 8 + 7k - 2
what is the answer to this
Answer:
-0.2+7k
Step-by-step explanation:
Rearrange the equation so that it is 1.8-2+7k
1.8-2=-0.2
You can't add 7k because it doesn't have a common variable
-0.2+7k
Where is the mistake? 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
Answer:
12
Step-by-step explanation:
ds
Answer: There is no mistake
Step-by-step explanation:
Which is a valid proportion? 3 over 4 = 21 over 28
5 over 6 = 29 over 30
4 over 7 = 16 over 49
Two-fifths = 12 over 15
Answer: I think that it is the first one
Which rational number could be graphed between –3 and –4? A number line going from negative 5 to positive 3 in increments of 1. Negative StartFraction 8 Over 2 EndFraction –3.75 Negative StartFraction 11 Over 4 EndFraction –2.25
Answer:
The answer is B!
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i did the quiz on E2020
1. Frank drives from Adams to Harrison which is a distance of 310 miles. He then travels to Perryton which is 40 miles from Harrison. If it takes him 5 hours to complete the entire trip, how fast is he traveling if he is traveling at a constant rate of speed?
Answer:
70 mph
Step-by-step explanation:
The total number of miles Frank traveled is 350 miles (Adams>Harrison=310, Harrison>Perryton(10)= 350)
350 divided by 5 is 70.
Therefore he was going 70 mph.
:)Hope that helped!
3
-
5
A. 0.6
B. 3.5
C. 1.667
D. 0.65
Answer:
A 0.6
Step-by-step explanation:
the fraction is 3/5 so if you do the eqation 3 divided by 5 u will get 0.6
Answer:
A
Step-by-step explanation:
3/5 is equal to 6/10. 6/10 is equal to 0.6, It's just in fraction form. If you want to, you can write it as "60/100" to make it easier to look at.
I hope this helps you :)
Which expression is equivalent to 21 - (-5) ?
A: 21 - 5
B: -21 + 5
C: 21 + 5
D: -21 - 5
Answer:
C: 21 + 5
Step-by-step explanation:
21 - (-5)
21 + 5
Distribute the '-' into the '-5'. You would get positive 5.
Option C should be the correct answer.
Hope this helps.
Find the inverse of the relation (-3,4), (-1,0), (6,0).
To find the inverse of a relation, we switch the x and y values in each point.
So the inverse would be {(4, -3), (0, -1), (0, 6).
where's the equation so that I can solve the answer
Pls halp due today >_<. Thank you
