Note that
10² = 100
0.08² = 0.0064
and
101.6064 = 100 + 1.6 + 0.0064
It also happens that
1.6 = 2 • 10 • 0.08
which means
101.6064 = 100 + 1.6 + 0.0064
101.6064 = 10² + 2 • 10 • 0.08 + 0.08²
101.6064 = (10 + 0.08)²
101.6064 = 10.08²
which means
√101.6064 = 10.08
which, to one decimal place, is approximately 10.1.
The price of 40L petrol is £24, find the price of each litre.
Answer:
1.666666666666666666666666666666666666666666666666666
Step-by-step explanation:
PLS HELP ME ON THIS MATH PROBLEM ASAP
Answer:B
Step-by-step explanation:
This is because -3 is going to multiple numbers, which cannot happen in a function.
root 2×root5
[tex] \sqrt{2 \times \sqrt{5 = } } [/tex]how much???
[tex] \sqrt[4]{20 {x}^{2} } [/tex]
Step-by-step explanation:[tex] \sqrt{2x \sqrt{5} } \\ \\ \sqrt{2 \sqrt{5x} } \\ \\ \sqrt{ \sqrt{(2 {x}^{2} )} \sqrt{5} } \\ \\ \sqrt{ \sqrt{4 {x}^{2} } \times 5} \\ \\ \sqrt{ \sqrt{20 {x}^{2} } } \\ \\ \sqrt[4]{20 {x}^{2} } [/tex]
If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch?
There are 6.45 or 6.5 square cm in one square in.
If 2 inches are equivalent to 5 centimeters, using unitary method, 6.25 square centimeters are in one square inch.
Unitary method is the method of solving the problem, where you first calculate the value of one item, then to find the value of say, k items, you multiply the value of one item by k.
Here, in this question we have used unitary method to find the relation between square inch and square centimeter given the relation between an inch and a centimeter.
Given in the question,
2 inches = 5 centimeter
By unitary method,
[tex]1 \ inch = \frac{5}{2} \ centimeter = 2.5 \ centimeter[/tex]
Squaring on both sides,
[tex]1 \ inch * 1 \ inch = 2.5 \ cm * 2.5 \ cm \\\\1 \ inch^2 = 6.25 \ cm ^2[/tex]
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4) A jet travels 450 miles in 2 hours. At this rate, how far could the jet fly in
14 hours? What is the rate of speed of the jet?
3150 miles in 14 hrs
225 mph
hope this helps!
The product of a binomial and a trinomial is x 3 3 x 2 âÂ’ x 2 x 2 6 x âÂ’ 2. Which expression is equivalent to this product after it has been fully simplified? x3 5x2 5x â€"" 2 x3 2x2 8x â€"" 2 x3 11x2 â€"" 2 x3 10x2 â€"" 2.
The product of given binomial and trinomial is given by below polynomial:
[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]
Given polynomials:Trinomial : [tex]x^3+3x^2-x+2[/tex]Binomial: [tex]x^2+6x-2[/tex]Explanation:The expression formed by the sum of sub expressions which are product of constant integers with variables raised to some exponent is called polynomial.
Their product is given by:
[tex](x^3 + 3x^2 - x + 2) \times (x^2 + 6x -2)\\= x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 -6x^2 + 2x +2x^2 + 12x - 4\\= x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]
Thus the product of given binomial and trinomial is given by below polynomial:
[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]
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PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
1. 5/3 is not equal to 3/5.
2. 7-(4+3) is equal to (4+3)-7
3. (x + y) + 1 is equal to x + (y + 1)
Step-by-step explanation:
1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5
2. If you solve both of them, they are equal because 7-7 = 7-7
3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.
Plz mark brainliest thx
#1
[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]
Here 5[tex]\neq 3[/tex]
Hence inequality holds
#2
[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]
[tex]\\ \sf\longmapsto 7-7=7-7[/tex]
[tex]\\ \sf\longmapsto 0=0[/tex]
Equality holds
#3
[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]
Equality holds
Done
What is the correct answer for this?
Answer:
Tan (X) = 72/65. = 1.1
Step-by-step explanation:
tan x = (opposite side) / (adjacent side)
From angle X the adjancent is the closest leg which has the value of 65 and the opposite is the furthest leg with a value of 72. (the line that is connecting the legs which is the biggest line is the hypotenuse and has a value of 97). You will not need the hypotenuse I just gave you extra information for future purposes.
so, since tan x = (opposite side) / (adjacent side):
Tan (X) = 72/65.
At the deli 1 pound of turkey cost seven and 98 Mr. Epson 5 3 pound of turkey how much will the turkey cost
Answer:
42.29 READ THE EXPLANATION
Step-by-step explanation:
i am guessing you mean the cost for 1 pound is 7.98 and he is getting 5.3 but if different do the steps, all you have to do is mutiple the unit rate (7.98) by how many pounds bought(5.3)
The following are some items that Carlo and his brother need to buy for their donations to their barangay: Instant Noodles- Php 6.75 Sardines-Php19.25 Sugar-Php49.50/kg Coffee-Php7.75 Rice-Php 35.05/kg *About how much money must they have to be able to buy : 1. 20 packs of instant noodles 134.96 2.2.5 kg of sugar 3. 15 kg of rice 4. 5 cans of sardines 5. 10 small packs of coffee
The amount of money they must have to be able to buy the items is Php958.25
if 1 pack of instant noodle costs Php 6.75, 20 packs of instant noodles will cost (6.75 * 20) = 135PhpIf sugar costs Php49.50/kg, then 2.5 kg of sugar will cost (2.5* 49.5) = Php123.75If Rice cost Php 35.05/kg, the cost of 15 kg of rice will be (15*35.05) = Php525.75If a pack of sardine cost Php19.25, 5 cans of sardines will cost Php96.25If a pack of coffee costs Php7.75, the cost of 10 small packs of coffee will be Php77.5
The amount of money that they must have is the sum of all the amount expressed as:
Total amount = Php135 + Php123.75 + Php525.75 + Php96.25 + Php77.5
Total amount = Php958.25
Hence the amount of money they must have to be able to buy the items is Php958.25
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A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Which expressions represent the total amount Jordan will receive if he sells n games that originally cost d dollars each? Select two options.
d (n minus 18)
n (d minus 18)
d + n minus 18
d n minus 18 n
18 n minus d n
Answer:
d
Step-by-step explanation:
I already did this before
Answer:
it B and D
Step-by-step explanation:
so easy read whats on the image
The answer is: J - 3.08 pounds
Option I ) 3.08 pounds
The reason being that it can't round up with the 2 so we just have that number to the hundredth
please no links!!!!!!!!!!!
Suppose a trip is 355.1 miles long and you want to spend 2 days driving. How many miles
should you drive each day?
Answer: 177.55 miles
Step-by-step explanation: 355.1/2
= 177.55 miles each day
Answer:
177.55mi/day
Step-by-step explanation:
If you travel for x number of days and want to split your trip evenly across those days, simply divide the distance you need to travel by the number of days.
i need answer please I got a them wrong
Answer:
See image
Step-by-step explanation:
I'm guessing a little bit, bc although you attached an image, it doesn't say what you are trying to prove, nor what you are given. Usually that is provided for a proof.
But we can see that the parallel segments are marked, so we'll call that the given information. Then there are actually two pairs of corresponding angles that are congruent by the Corresponding Angles postulate. But we only need one pair. Then Angle A is congruent to itself by Reflexive Property. Finally what we have proven is that the two triangles ABC and ART are similar by AA
32 feet
8 feet
What will the new dimensions of the rectangle
be after a dilation with a scale factor of
7/8
Answer:
i do not know
Step-by-step explanation:
he A water pail in your backyard has a small hole in it. You notice that it has drained a total of 1.5 liters in 4 days. What is the average change in water volume each day?
Answer:
0.375 liters per day
Step-by-step explanation:
1.5 / 4 = 0.375 liters per day
I\ need\ the\ answers\ for\ 6.07\ 8th\ grade\ on\ peak\ fueled
Answer:
what's the question that you need answered?
Step-by-step explanation:
?
A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate. How many minutes does it take the farmer to pick 56 oranges?
Answer:
it takes the farmer 14 minutes to pick 56 oranges.
Step-by-step explanation:
8 Oranges in 2 minutes. To find the number pick in 1 minute, we need to divide the number picked by the amount of time it took.
8/2=4
Now we know the farmer picks 4 oranges in a minute. So to fid how many minutes it took to pick a certain number of oranges, we need to divide that number by four.
56/4=14
I takes 14 minutes for the farmer to pick 56 oranges.
The farmer picks the 56 oranges in 14 minutes.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As given in the question, A farmer picks 8 oranges in 2 minutes. The farmer continues to pick oranges at this rate is to be determined.
unit rate of picking oranges = 8 / 2 = 4 oranges per minute
Now,
Time to pick 56 oranges = 56/4
= 14 oranges
Thus, the farmer picks the 56 oranges in 14 minutes.
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Find the area of a triangular garden if the
sides are approximately 6 feet, 11 feet, and
12 feet (to the nearest square foot).
Answer:
As it is a triangle, so you start applying Pythagoras;
once with 11 as the hyp. and once where x is the hyp.
where x is the hyp.
feet
and if considering 11 as the hyp. feet
*If the equations are not shown, you simple wait till the page fully loads or refresh the page*
Hope this helps.
Step-by-step explanation:
how far does a horse travel if it gallops at an average speed of 25 km/h for 30 min?
Answer:
12.5 km.
Step-by-step explanation:
Distance = average speed x time = 25 km/h x 0.5 h = 12.5 km.
if wrong, sorry
(but most likely right)
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answer:
A = 21 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height between bases and b₁, b₂ are the parallel bases
Here h = 3, b₁ = 9, b₂ = 5 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (9 + 5) = 1.5 × 14 = 21 cm²
Can someone pls help like plss
Answer:
-32r+3
Step-by-step explanation:
You have to combine -9r+2r-5r-20r, orrrr…
you can remove the variables and solve:
[tex]-9+2-5-20=\\ -32[/tex]
then add the variable back,
[tex]-32r[/tex]
since the +3 has no variable, you can’t add it to -32r
so…
you have to add it to the equation as a separate term:
[tex]-32r+3[/tex]
hope this helps!
Find the value of x, y and z in the rhombus below
Answer:
... ................................
You must include an explanation accompanied with your solution. Answers without
explanations will not receive full credit: *
2 points
Mark invested $125. He earned a simple interest of 3% per year on the initial
investment. If no money was added or removed from the investment, what was
the amount of interest Mark received at the end of two years?
A. $5.70
B. $7.50
C. $75.00
D. $750.00
Your answer
Answer:
B) $7.50
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = 125(.03)(2)
I = 7.5
f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer
Answer:
[tex]x=-8[/tex] if [tex]f(x)=-1[/tex]
Step-by-step explanation:
Given --> [tex]f(x)=-\frac{3}{4}x-7[/tex]
Substitute [tex]f(x)=-1[/tex] into the equation and solve for [tex]x[/tex]:
[tex]-1=-\frac{3}{4}x-7[/tex]
[tex]6=-\frac{3}{4}x[/tex]
[tex]24=-3x[/tex]
[tex]-8=x[/tex]
So, when [tex]f(x)=-1,x=-8[/tex]
Does this graph represent a function? Why or why not
Answer:
C
Step-by-step explanation:
It passes the horizontal line test
Answer:
B. yes, it passes the vertical line test
Step-by-step explanation:
A vertical line intersects the graph in at most 1 place. That test passes, so the graph represents a function.
_____
A function maps any given x-value to only one y-value.
Find sum of arithmetic series where a1 = 7, n=31, nth a =127
Answer:
Sum of arithmetic series is [tex]2077[/tex]
Step-by-step explanation:
We have [tex]n[/tex]th term of arithmetic sequence
[tex]a+(n-1)d[/tex]
Here
[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]
Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]
Answer:
The sum of arithmetic series is 2077.
Step-by-step explanation:
Solution :
Here we have provided that :
»» [tex]\rm{a_1}[/tex] = 1»» [tex]\rm{n}[/tex] = 31»» [tex]\rm{a_n}[/tex] = 127We need to find :
»» The sum of arithmetic series.Here's the required formula to find the sum of arithmetic series :
[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
Substituting all the given values in the formula to find the sum of arithmetic series :
[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]
[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]
[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]
[tex]{\longrightarrow{\sf S = 2077}}[/tex]
[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]
Hence, the sum of arithmetic series is 2077.
[tex]\rule{300}{1.5}[/tex]
WILL MARK BRAINLIEST!!! PLS HELP. ANY LINKS OR WRONG ANSWERS WILL BE REPORTED !!
Answer:
When reflected across the y-axis the point would be at (9,0)
In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?
_______% of the people surveyed were satisfied with the car. (Type a whole number
Answer:
30%
Step-by-step explanation:
[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]
Answer:
30%
Step-by-step explanation:
given
Total:3400
satisfied people:1020
we know that,
percent of satisfied:3400/1020x100%
=30%
Cameron ran 5 miles less than Kyle last week. Cameron ran 9 miles. Which equation will tell you how many miles Kyle ran?
A)
+ 5-9
B)
X-5 - 9
o
X+ 5-49
D)
X-5=-9
D. it is d because I said so >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:( >:(