The quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.
What is the quotient?Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The number StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction, given can be written as,
[tex]\dfrac{7^{-1}}{7^{-2}}[/tex]
Let the quotient of this division is n. Therefore,
[tex]n=\dfrac{7^{-1}}{7^{-2}}[/tex]
A number in numerator of a fraction with negative exponent can be written in the denominator with the same but positive exponent and vise versa. Therefore,
[tex]n=\dfrac{7^{2}}{7^{1}}\\n=7[/tex]
Hence, the quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.
Learn more about the quotient here;
https://brainly.com/question/673545
Answer:
C
Step-by-step explanation:
C
PLS HELP ME
Aisha divides 1/5 meter of ribbon into 2 equal pieces.
What is the length of each piece of ribbon?
Enter your answer as a fraction in simplest form by filling in the boxes.
⊆⊇ m
⊂⊃
Step-by-step explanation:
[tex] \frac{ \frac{1}{5} }{2} = \frac{ \frac{1}{5} }{ \frac{2}{1} } [/tex]
Multiply means by means and extremes by extremes to get;
[tex] \frac{1}{10} \: \: \: meters[/tex]
Let's divide
1/5÷21/5×1/21/5(2)1/100.1mhelp would be greatly appreciated:)
Answer:
I have no idea
Step-by-step explanation:
Graph the image of the given triangle after the transformation with the rule (x, y)→(x+3, y−5).
Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Step-by-step explanation:
The area of a rectangular door is given by the trinomial x2 – 14x + 45. The door's width is
(x - 9). What is the door's length?
solve by substitution
y=-2x + 3
y=2x-1
Answer:
Answer is in the picture bro.
Step-by-step explanation:
find the equation of the line. use exact numbers
Answer:
[tex]y = 0.5x + ( - 3)[/tex]
or
[tex]y = 0.5x - 3[/tex]
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
( 1, -2)
step-by-step explanation:
original coordinates of C: (4, -2)if reflected over y-axis: use the formula: (x,y) → (-x,y)
new coordinates: (-4, -2)then if translated 5 units horizontally, there will be change in x axis:
new coordinates: (-4+5, -2) → ( 1, -2)Ian is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 2 t-shirts, and 3 pairs of shoes. How many different outfits does Ian have to choose from?
Answer:
He has four outfits if he switches shirts once.
7. Find the value of x. Round to the nearest tenth of a unit. (2 points)
27°
work:
21
х
X =
Answer:
41.2
Step-by-step explanation:
By the alternate interior angles theorem, the angle of depression is congruent to the angle of elevation.
This means that tan(27)=21/x.
x(tan 27)=21
x=21/(tan 27), which is about 41.2
Help please! Thank you!
Answer:
The answer would be x = 20. First, you must set up a proportion, since you know that the two polygons are similar: 12/48 • 5/x. Then, you have to do cross multiplication which would result in 12x = 240. Afterwards, you must divide both sides by 12, giving you x = 20.
In the adjoining equilateral [tex] \triangle[/tex] ABC , AD ⊥ BC and AC = 2a units. Prove that sin 60° = [tex] \sf{ \frac{ \sqrt{ 3} }{2} }[/tex] .
Answer:
See Below.
Step-by-step explanation:
Since ΔABC is an equilateral triangle, this means that ∠A, ∠B, and ∠C all measure 60°.
Furthermore, all sides of the triangle measure 2a.
We know that AD⊥BC. Since this is an equilateral triangle, any altitude will be a perpendicular bisector. Therefore, BD = DC, ∠CAD = 30° and ∠C = 60°.
Additionally, the measures of the segments are: BD = DC = (2a) / 2 = a.
Let’s use the right triangle on the right. Here, we have that DC = a and AC = 2a.
Recall that sine is the ratio of the opposite side to the hypotenuse. Therefore, sin(C) or sin(60°) will be AD / AC. We can find AD using the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
a is DC, b is AD, and c is AC.
Substitute in appropriate values:
[tex]a^2+(AD)^2=(2a)^2[/tex]
Solve for AD:
[tex]\displaystyle \begin{aligned} a^2+(AD)^2&=4a^2\\(AD)^2&=3a^2\\AD&=\sqrt{3a^2}=a\sqrt{3}\end{aligned}[/tex]
Sine is the ratio of the opposite to the hypotenuse:
[tex]\displaystyle \sin(C)=\sin(60\textdegree)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Substitute:
[tex]\displaystyle \sin(60\textdegree)=\frac{AD}{AC} = \frac{a\sqrt{3}}{2a}[/tex]
Simplify. Hence, regardless of the value of a:
[tex]\displaystyle \sin(60^\circ)=\frac{\sqrt3}{2}[/tex]
14 Compare 3(2 + x) to the equivalent expression in 13. What property did you apply
15 Simplify the expression from problem 14.
16 ls 3(2+x) equivalent to your simplified expression? Explain.
Answer:
14.) DC
community property
15.) 13+x
community property
12.) 6x-12
distributive property
Hope it helps!!!Brainliest pls!!!
70% of the shoes in the UK are made abroad. if you survey 120 people about the shoes they are wearing, how many do we expect to have UK-made shoes?
Answer:
84
Step-by-step explanation:
70% of 120= 84
Which is equivalent to represent by the table
A gorilla has a mass of 156 kilograms. Choose all of the customary measures that are less than 156 kilograms.
400 Ib
350 Ib
300 Ib
250 Ib
200 Ib
Answer:
300lb, 250lb, 200lb
Step-by-step explanation:
156kg=343.9lb
Which sentence is an example of indirect characterization?
like her mother, she was both practical and brave
"We’re all strong and hard workers with a lot of stamina,"
Lily worked day and night doing laundry
So the family began preparing for the journey
Answer:
C. Lily worked day and night doing laundry
Step-by-step explanation:
Edge 2022
Answer:
c
Step-by-step explanation:
Kim and her mom have some items to donate to families in need for Christmas baskets. They have 100 rolls and 25 pumpkin pies. They want every basket to be exactly the same, and they don't want any leftover food. What is the largest number of baskets that they can make?
Answer:
There will be 25 baskets each container 4 rolls and 1 pumpkin
Step-by-step explanation:
Rolls = 100
Pumpkins = 25
To make every basket to be exactly the same number of rolls and pumpkins,
Find the highest common factor of 100 and 25
100 = 1, 2, 4, 5, 10, 25, 50, 100
25 = 1, 5, 25
The highest common factor of 100 and 25 is 25
Rolls = 100
= 100/25
= 4
Pumpkins = 25
= 25/25
= 1
Therefore,
There will be 25 baskets each container 4 rolls and 1 pumpkin
Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?
HELP PLEASE! 20 POINTS AND WILL MARK BRAINLIEST.
Suppose you want to find the 40th term of a sequence. Would you rather use a recursive rule or an explicit rule? Explain your reasoning.
Answer:
I'd rather use an explicit rule for bigger values of n
Step-by-step explanation:
Suppose we have a sequence like:
6,14,22,30,..
And we wanted to calculate the 200th term. The recursive rule is:
[tex]a_n=a_{n-1}+8[/tex]
Since each term is 8 more than the previous term. If we wanted to caclulate the term n=200, we would need to go up to 200 one-by-one until reaching the desired value.
The explicit rule is:
[tex]a_n=6+8(n-1)[/tex]
To find the term for n=200, just substitute into the rule:
[tex]a_{200}=6+8(200-1)=1598[/tex]
Thus, I'd rather use an explicit rule for bigger values of n
BRAINLIEST!!
please help!! i need this question/problem answered with a COMPLETE solution!!
giving brainliest to who answered completely!!
A woman wishes to enclose a rectangular garden with fencing, using the side of her garage as one side of the rectangle. A neighbor gave her 27 feet of fencing, and she wants the length of the garden along the garage to be 6 feet more than the width. What are the dimensions of the garden?
Answer:
Width = 3.75 feet
Length = 9.75 feet
Step-by-step explanation:
Given:
Length of fencing = 27 feet
Find:
Dimensions of the garden
Computation:
Assume
Width = x
So,
Length = x + 6
2(L+B) = Perimeter
2(x + x + 6) = 27
2(2x + 6) = 27
4x + 12 = 27
4x = 15
x = 3.75
Width = 3.75 feet
Length = 3.75 + 6 = 9.75 feet
Q1. Find the square root of the following by division method
i ) 9801
I'm not sure if this is how you want it to be done.
PLEASE HELP
Study the diagram of circle K, where JL and LM are tangent to circle K at points J and M, respectively. Also, JL=3x+10 and ML=7x−6.
What is the length of LM?
17.6
16
4
22
Answer:
LM = 22
Step-by-step explanation:
Tangents to a circle from an external point to the circle are congruent , that is
ML = JL , substitute values
7x - 6 = 3x + 10 ( subtract 3x from both sides )
4x - 6 = 10 ( add 6 to both sides )
4x = 16 ( divide both sides by 4 )
x = 4
Then
LM = 7x - 6 = 7(4) - 6 = 28 - 6 = 22
HALP ME PLS
Simplify the expression.
5n - 3(4n + 1) =
Answer:
-7n - 3
Step-by-step explanation:
5n-3(4n+1) =
5n -12n -3= 0
-7n - 3
Answer: -7n-3
Step-by-step explanation: first bring the 5n down then multiply -3x4n gives you -12 and multiply 5x1 that gives you 5 so you would write (5n−12n)−3
then remove the parentheses combine like terms like 5 and 12 are alike because of the n's that means subtract because of the - sign 5-12 which gives you -7 and then you bring down -3 because it's outside the parentheses and that's the answer.
Expand and simplify 3(q + 5) - 2(2-4)
a 2
Answer:
hope it helps
good afternoon
у is directly proportional to the square route of x
If y = 32 when x = 64 find,
x when y = 48
A dessert has both fruit and yogurt inside.
Altogether, the mass of the dessert is 185g.
The ratio of the mass is 2:3.
What is the mass of the yoghurt?
Answer:
74g:148g
Step-by-step explanation:
If the yogurt portion is 3, then your answer is 148g.
You have a total of 5 portions (2+3=5). Since all portions must be equal, you can divide the total (185g) by 5. That means each portion is 37g each. To find the total weight of the yogurt, we multiply by the number of portions, either 2 or 3. That would be your result.
Pls help me I don’t which on it is
Someone help, 3x-5+23x-9
Answer:
26x - 14
Step-by-step explanation:
3x - 5 + 23x - 9
26x - 5 - 9
26x - 14
Answer:
26x - 14
Step-by-step explanation:
3x - 5 + 23x -9
3x +23x - 9 - 5
26x - 14
PLEASE HELP ANYONE!?
Answer:
Step-by-step explanation:
this is hard that I will say