[tex] c.\:{x}^{ - 4} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]
Note:-
[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Jensen goes to the store with $4. He buys 3 pencils for $0.70 each and
some erasers. Each eraser costs $0.50. Enter the maximum number of
erasers he can buy.
Answer:
3 erasers.
Step-by-step explanation:
Let p = pencils and e = erasers. Since we know that Jensen has $4, we can set up the following inequality and solve for e.
0.70p + 0.50e ≤ 4
0.70(3) + 0.50e ≤ 4
2.10 + 0.50e ≤ 4
0.50e ≤ 1.90
e ≤ 3.8
Since erasers are usually bought as whole items, the maximum amount of erasers Jensen can buy is 3.
calculate which number after an increase of 36%, is 170
Hello there I hope you are having a Great day, Percentage increase = 36% × 170 = 36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)
A ship from Port travels fot 60km on the bearing of 129°.It continues to travel and changes direction for another 50km on a bearing of 080°
Answer:
The ship is approximately 100 km to the Port.
Step-by-step explanation:
The sketch to the question gives a triangle with two sides and an included angle. Let the distance from the Port to the stopping point of the ship be represented by c. It can be determined by the application of cosine rule. Cosine rule states that:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] -2ab Cos C
a = 50 km
b = 60 km
C = 51 + 80 = [tex]131^{o}[/tex]
So that;
[tex]c^{2}[/tex] = [tex]50^{2}[/tex] + [tex]60^{2}[/tex] -2(50 x 60) Cos [tex]131^{o}[/tex]
= 2500 + 3600 -6000 x -0.6561
= 6100 + 3936.6
[tex]c^{2}[/tex] = 10036.6
c = [tex]\sqrt{10036.6}[/tex]
= 100.183
c = 100.18 km
Thus, the ship is approximately 100 km to the Port.
What is 66.6% as a fraction ( simplest form )
Mr. Roundtree had 20 tickets. He gave 10 to his family and 8 to his friends.
the only solution to x² + bx + c = 0
is x = 5
work out the values of b and c
Answers:
b = -10
c = 25
=================================================
Explanation:
If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.
Expand that out to get
(x-5)^2
x^2 - 5x - 5x + 25
x^2 - 10x + 25
Then compare this to x^2 + bx + c to find
b = -10
c = 25
If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.
PLEASE HELP ME I WILL HIVE BRAINLYEST
Answer:
Step-by-step explanation:
a). Points on a number line are,
x = -7, 1
Number of small blocks between x = -7 and 1 is 8.
Distance = 8
b). Difference between two points x = -7, 1 will be,
1 - (-7) = 1 + 7
= 8
-7 - 1 = -8
c). Absolute value of each difference,
|1 - (-7)| = 1 + 7
= 8
|-7 - 1| = |-8|
= 8
PLS HELP URGENT ILL GIVE U BRAINLIST!
lim(x --> 3)(-5x^ 2 -2x+4)
A. -47
B. 47
C. 0
D. 3
Hi there!
[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]
Simply substitute x = 3 in the expression.
[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]
Questions can be asked through comment.
Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.
Hope this helps, and Happy Learning! :)
Use what you know about similarity and proportions to solve for x in the triangles below. Show all work.
4
10
5
x + 5
Answer:
Value of x = 7.5 unit
Length of side = 12.5 unit
Step-by-step explanation:
Given that both triangles are similar because all angles are equal;
So, the ratio of similar lines is in the same proportion.
[x + 5] / 5 = 10 / 4
4[x + 5] = 50
4x + 20 = 50
4x = 50 - 20
4x = 30
x = 30 / 4
x = 7.5
So,
Value of x = 7.5 unit
Length of side = x + 5
Length of side = 7.5 + 5
Length of side = 12.5 unit
Find missing measure (No.6)
Answer:
Step-by-step explanation:
6 no
1.angle 2=92 degree(being vertically opposite angle)
2.angle 1+33+92=180(sum of interior angles of a triangle)
angle 1+125=180
angle 1=180-125
angle 1=55
3.angle 3+angle 2+115+90=360(sum of four angles is always 360 degree)
angle 3+92+205=360
angle 3+297=360
angle 3=360-297
angle 3=63
If P = (-1,6), Find: Rx-axis (P).
Can you show me how to do this?
And explain lt to me like I'm 8 xD
appreciate it.
I hate math lol.
Answer:
Step-by-step explanation:
its (-1,-6)
this is your answer
NO LINKS PLEASE ..Solve for x
Answer:
x = 42.5
Step-by-step explanation:
all triangles inscribed into a circle like in the picture must have a 90 degree angle.
so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5
plss help me!!
Find the length of the arc.
Answer:
[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)
Step-by-step explanation:
GIVEN :-
Angle subtended by the arc at center (θ) = 90°Radius of the circle = 5 ft.TO FIND :-
Length of the arcGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.
[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]
SOLUTION :-
Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]
What is that number in scientific notation form??
Answer:
D. 3.7 × 10⁶
Step-by-step explanation:
3.7 × 10⁶
3700000
What type of graph is best to use to show data that are parts of a whole?
Answer:
Pie charts
Step-by-step explanation:
A Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Answer:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Step-by-step explanation:a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole.
Find x. Round to the nearest tenth
A: 5.0
B: 7.8
C: 3.9
D: 4.6
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{6}[/tex] ( multiply both sides by 6 )
6 × cos40° = x , then
x ≈ 4.6 ( to 1 dec. place ) → D
The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase? I found a post that answered the question but it didn't explain how they got the answer.
Answer:
[tex]Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\[/tex]
[tex]=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000[/tex]
Therefore original price = $580,000
PLEASE HELP QUICK ITS TIMED
Dawson has 3 more tokens than twice the number of tokens that Rachel has. Dawson has
21 tokens. What is the total number of tokens Rachel has?
Answer:
9
Step-by-step explanation:
I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.
Answer:
9 divided by 21
Step-by-step explanation:
17
Find the HCF of 12 and 16
Answer:
4 Hope that helped
HELP ILL GIVE BRAINLIEST
Answer:
-2/3
Step-by-step explanation
Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)
The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3
What is the least common multiple of the two denominators 6/8 and 4/32, only answer are 18, 8, 32, and 12 which one there are no 4
Answer:
32
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
the correct answer is 32
Work out the circumference of of a circle with a radius of 6mm. Give you answer in pie
Answer:
12 pi mm
Step-by-step explanation:
formula : circumfrence = 2 pi r
so pi * 2*6 mm = 12 pi mm
A DrillingRick was diggingA well in the valley it dug to a point of -50 Meters in one day After 18 hours at how many meters would the rig be if it moved at the same amount each hour? Show your work.Explain your answer
Answer:
37.5 meters
Step-by-step explanation:
depth of well : hours of digging
it dug to a point of -50 Meters in one day
= 50 meters : 24 hours
After 18 hours at how many meters would the rig
Let
x = depth that will be rigged
depth of well : hours of digging
= x meters : 18 hours
Equate the ratios
50 meters : 24 hours = x meters : 18 hours
50/24 = x/18
50 * 18 = 24 * x
900 = 24x
x = 900/24
x = 37.5
x = depth that will be rigged = 37.5 meters
Please help!!! Will give brainliest to the first correct answer!
Answer:
a. (-4,8)
Step-by-step explanation:
the two lines intersect at this point
Simplify for ez quick points!
Answer: 64
Step-by-step explanation: 4x4x4=64
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{4}^3[/tex]
[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]
[tex]\large\text{= 16}\times\large\text{4}[/tex]
[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Amelia needs to buy some dog food. At the nearest store, 2 bags of dog food cost $7.50. How much would Amelia spend on 5 bags of dog food?
Answer: $18.75
Step-by-step explanation: Each bag cost $3.75 individually.
Find the volume and surface area of a sphere with a radius of 6cm.
How many coins make $7.68 in cents
what is 5 to the 3rd power
Answer: 125
Step-by-step explanation: 5•5•5
Help I'm gonna fail
A pet store owner had her staff count the number of fish in each tank. Which interval has the fewest tanks?