Answers
Answer:
1. No
2. Yes
3. [tex]\sqrt{80}[/tex]
4. x=8
Step-by-step explanation:
1.
6^2+8^2
=36+64=100
9^2=81
100≠81
No
2.
5^2+12^2
=25+144
=169
13^2=169
169=169
Yes
3.
x^2=4^2+8^2
x^2=16+64
x^2=80
x=[tex]\sqrt{80}[/tex]
4.
x^2+6^2=10^2
x^2+36=100
x^2=64
x=[tex]\sqrt{64}[/tex]=8
Related Questions
The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form.
Answers
Answer:
y=0x+6
Step-by-step explanation:
slope intercept form is: y=mx+b
Help me but i am gonna know the answer cause i know it
Answers
Answer:
D. 12
Step-by-step explanation:
93/3 = 31
155/5 = 31
248/8 = 31
In every case, you see that the number of pages is 31 times the number of hours.
For 372 pages, the number of hours is 372/31 = 12
Check: 372/12 = 31
Answer: D. 12
Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. what is the commission?
Answers
Answer:
$22.05
Step-by-step explanation:
If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.
Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,
9% / 100 = 0.09
Now multiply the result by the price of the product (245) to find the amount given away in commission,
0.09 * 245 = 22.05
21. Which equation can you use to find the value of x? (y + 2.3) cm K K. T 7 cm ( (2.5x)" H A. O 2.5x = 180 B.O 2.5x = 90 C.O 2.5x = 60 D. O 2.3x = 60
Answers
Answer:
2.5x = 180
Step-by-step explanation:
106 ° + X° = 180 °
Solving the above
X° = 180 ° - 106°
X° = 74°
Therefore the value of X° is 2.5°.
B is the correct option
Answer each question below 26. A pair of shoes that normally costs $85 is now on sale for 45% off. What is the sale price of the shoes?
27. After Christmas, I was able to buy lights for 60% off. How much did I pay for lights that normally cost $12?
28. This past weekend, I went to Bed, Bath & Beyond to purchase a new frying pan. I was able to use a 20% off
coupon on one item. The frying pan was originally $40. What is the sale price of the frying pan?
29. When eating at a restaurant, it is recommended that you leave a 15% tip. If my bill was $24, how much
should I leave as a tip?
Answers
Answer:
26. $46.75
27. $4.80
28. $32.00
29. $3.60
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /
Answers
Total skittles = 16
So it will be 4/16
Simplify = 1/4
it took bryan one hour to ride 6 1/4 miles on his bike. how far will bryan be able to ride in 3 1/2 hours?
A 21 7/8
B 9 3/4
C 5 1/2
D 9 1/4
Answers
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29.
Which of these inequalities describes the situation, where n is the number of songs Lin wants to buy.
9.99+1.29n greater and equal to 50
9.99+1.29 less than and equal to 50
9.99-1.29n less than or equal to 50
9.99-1.29n greater than or equal to 50
Answers
Answer:
b) 9.99 + 1.29n ≤ 50
Step-by-step explanation:
I think, this question is incomplete., may be there is typo. To complete the question, it's suppose to be like this
a)9.99 + 1.29n ≥ 50
b)9.99 + 1.29n ≤ 50
c)9.99 − 1.29n ≤ 50
d)9.99 − 1.29 n ≥ 50
well, we have to figure out the information given
price of the album: $9.99
each song cost : $1.29
gift card: $50
number of songs : n
The answer is b) 9.99 + 1.29n ≤ 50 , because the sum of the price of the album ($9.99) and the songs ($1.29 n) must be less or equal to the value of the gift card ($50). Fore sure it 's correct.....
For the function f(x) = 1/4e^-x + e^x, prove that the arc length on any interval has the same value as the area under the curve.
Answers
Take an arbitrary interval [a, b], where a < b.
Compute the arc length L of y = f(x) over [a, b] :
[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]
Now comptue the area A under the curve y = f(x) over [a, b] :
[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]
We have
f (x) = 1/4 e ⁻ˣ + e ˣ → f ' (x) = -1/4 e ⁻ˣ + e ˣ
Then
√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)
… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)
… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)
… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)
… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)
… = 1/4 (e ⁻ˣ + 4 e ˣ)
… = 1/4 e ⁻ˣ + e ˣ
… = f (x)
so both A = L for any choice of interval [a, b].
It is true that the arc length on any interval has the same value as the area under the curve.
How to prove the statementThe function is given as:
[tex]f(x) = \frac 14e^{-x} + e^x[/tex]
Differentiate the function
[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]
On any interval, the following must be true
[tex]f(x) =f'(x)[/tex]
and
[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]
So, we have:
[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]
Expand the exponents
[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]
Remove the bracket
[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]
Evaluate the like terms
[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]
Multiply by 16/16
[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]
So, we have:
[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]
Take the square root of 1/16
[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]
Express the radical as a perfect square
[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]
Evaluate the exponents
[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]
Evaluate the products
[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]
Hence, it has been proved that the arc length on any interval has the same value as the area under the curve.
Read more about areas at:
https://brainly.com/question/24487155
The owner of Lakewood Mall wants to know the number of people who shop at the mall more than once a week. He surveys 9696 customers and finds that 2424 of them shop at the mall more than once a week. What is the probability that the next person he surveys shops at the mall more than once a week?
Answers
Answer:
go make me a sandwhich you witch
Step-by-step explanation:
Please helppp, 15 points
Answers
Answer:
they are adding by 3 1 and 0
Step-by-step explanation:
Answer:
Step-by-step explanation: Mean= 400/15 =26.6
Median = 27
Mode= 35 - 16 =19
No
6 x 10^4 how many times as great as 3 x 10^7
Answers
Answer:
one
Step-by-step explanation:
A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.
Answers
Step-by-step explanation:
Step-by-step explanation:
Given the table:
Month f(x) = Number of imports g(x) = Number of exports
January (1) 3 1
February (2) 4 3
March (3) 5 5
April (4) 6 7
From the table, it is clear that:
Number of imports = number of month + 2
so
also
Number of exports = 2(number of month) + 1
so
Therefore, the number of imports equals the number of months plus one. i.e., which is a linear function.
If we compare it with the slope-intercept form of the line
Then,
slope = m = 1
y-intercept = 2
Also number of exports equals is also a linear function.
i.e.
Here,
slope = m = 2
y-intercept = -1
If there is some point that is equal in both the function then it can be said that they are intersecting.
What is a function?A function is a relation in which each values of x have the value of y.
How to determine whether two functions are intersecting?The key features of the functions :
Functions are equal at that point at which they are intersecting.
Learn more about functions at https://brainly.com/question/4025726
#SPJ2
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CH
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to
(6)?
)
Answers
Answer:
[tex]\dfrac{17}{13}[/tex]
Step-by-step explanation:
Given that,
r(x) = 3x - 1 and s(x) = 2x + 1
We need to find an expression equivalent to [tex]\dfrac{r}{s}(6)[/tex].
We know that,
[tex]\dfrac{r}{s}(6)=\dfrac{r(6)}{s(6)}[/tex]
Put x = 6 in the above expression
[tex]=\dfrac{3(6)-1}{2(6)+1}\\\\=\dfrac{18-1}{12+1}\\\\=\dfrac{17}{13}[/tex]
So, the equivalent expression is equal to [tex]\dfrac{17}{13}[/tex].
Help me solve for x. 16^x = x^2
Answers
x * 2^4x = x^2
2^4x = x
I’m afraid you can’t simplify more, but it could be
2^2x/2 = root x
you could solve for it yourself, because the other guy is not likely to answer.
can someone please help me with this
Answers
Answer:
60 units^2
Step-by-step explanation:
area of triangle=base*height/2=8*15/2=120/2=60 units^2
Answer:
The answer would be 60 units ^2
Step-by-step explanation:
To find the area of a triangle, the formula is b x h (base times height) divided by 2. So in this case, the base would be 8 and the height would be 15. 8x15 = 120 divided by 2 (since it's a triangle) and the answer would be 60.
Find f(-1)
f(x) = (1/5)^x
Answers
f(-1)=(1/5)^-1
f(-1)=5
Rewrite the Cartesian equation y=-3 as a polar equation.
Answers
r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
Flying against the jetstream, a jet travels 3600 miles in 5 hours. Flying with the jetstream, the same jet travels 4400 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the jetstream?
Rate of the jet in still air: mi/h
Rate of the jetstream: mi/h
Answers
The Jet in still air flies at a rate of 820 mph
The wind speed is 200 mph
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answers
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³if 70kg is 20% of peter's weight, then what is peter's total weight!?
Answers
Peter’s total weight is 50kg
find the area of the shade sector of the circle
Answers
Step-by-step explanation:
We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.
[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]
a farmer has 80 yards of land east and 100 yards west
Answers
Answer: 8000?
Step-by-step explanation:
If your asking the area of his land, 800 yards
Total of 180 I guess? What are you trying to askkk?
If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution
Answers
9514 1404 393
Answer:
e. no solution
Step-by-step explanation:
You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.
__
The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.
Multiply 15 by 9 then divide by 2 fraction
Answers
Answer:
15x9 is 130 but, what u mean by divided by 2 fraction?
Step-by-step explanation:
135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2
It would take ___ hours to drive 240 miles from Boston to New York, if one drives at a constant speed of 40 mph.
Answers
Answer:
6 hours.
Step-by-step explanation:
To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.
Answer:
6 hours
Explanation:
240/40= 6
Perform the following subtraction - 1/2 - (- 7/10)
Answers
Answer:
1.2
I t is the answer
3. Simplify: 72 +8 [180 + 4 {10 + (15 - 45 - 9 x 2)}] simplify
Answers
Answer:
296
Step-by-step explanation:
Answer:
plz rate 5star accept my efforts
+ thanks :)
(5^{-8})(5^{-10})=(5
−8
)(5
−10
)=
Answers
Answer:
1
3814697265625
Decimal Form:
2.62144 ⋅ 10 / 13
Step-by-step explanation:
Jim rent a car for the weekend can choose 1 of 2 plans the first plan has $55 initial cost an additional 0.80 per mile driven The second plan has no on the song say what it cost $0.90 per mile driven how many miles would you need to drive for the two plans to cost the Same