Answer:
-21/8 or -2 5/8
Step-by-step explanation:
The lake change is the same for all 7 years so you can subtract -3/8 seven times.
-3/8-3/8-3/8-3/8-3/8-3/8-3/8 = -21/8
as a mixed number it's -2 5/8
5. The sports store sold three times as many basketballs as footballs last month. If they sold
140 fewer footballs than basketballs, how many of each type of ball did they sell last
month?
Answer:
basketballs = 210 footballs = 70
Step-by-step explanation:
footballs =b
basketballs= 3b
if there ate 140 fewer footballs than basketballs it means that the difference between basketballs and footballs sold is 140
hence 3b - b = 140
2b= 140
b= 70
hence footballs are 70
while basketballs are 70×3 = 210
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN=13x-9 and MP=4x+5
Answer:
x = 3.25 Each diagonal = 34.25. Step-by-step explanation: LMNP is a rectangle and it has diagonals LN and MP. Now, given that LN = 13x - 8 and MP = 9x + 5 Now, we know that the two diagonals of a rectangle are of the same length. So, LN = MP ⇒ 13x - 8 = 9x + 5 ⇒ 4x = 13 ⇒ x = 3.25 (Answer) Therefore, the each diagonal is of (13 × 3.25 - 8) = 35.25 length. (Answer)
Read more at Answer.Ya.Guru – https://answer-ya.com/questions/4694576-lmnp-is-a-rectangle-find-the-value-of-x-and-the-length-of-each.html
Step-by-step explanation:
Answer:
Can you provide an Attachment?
Step-by-step explanation:
^^
Write an exponential expression with 5 as the base and 8 as the exponent?
Answer:
y=[tex]5^{8}[/tex]
Step-by-step explanation:
An exponential equation is in the form y=[tex]a^{x}[/tex] where a is the base and x is the exponent.
If 5 is the base then it would replace a, and if it 8 was the exponent it will replace x.
Brainliest and 100 points! I need this answer ASAP.
What is the equation of the graphed function?
Enter your answer in the box.
f(x)=______________
Answer:
f(x) = x² - 4x + 2 or f(x) = (x - 2)²
Step-by-step explanation:
The parabola touches the x-axis at only one pointIf we use y = a(x − h)² + k, we can see from the graph that h = 2 and k = 0This gives us y = a(x − 2)²What is the value of "a"?
We also see that the y-intercept is (0, 4)We can plug it into the equation4 = a(0 - 2)²4a = 4a = 1So, our quadratic equation will be :
y = 1(x - 2)²y = x² - 4x + 2 or y = (x - 2)²Answer:
f(x)=(x-2)^2
Step-by-step explanation:
They deleted my first answer, the one you marked brainliest :/
Promise this is correct, but i don't know how to explain it. The person above me did it wonderfully though. Hope this helped <3, Have a great day!
Hello I would really appreciate if someone could help me with this math question. I’m so confused
Answer:
a. f = 17.5/c
b. 8.75 N
Step-by-step explanation:
(a)Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...
f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)
We find the value of k using data given for a specific instance.
3.5 N = k(1/(5 cm)) . . . . use the given values
17.5 N·cm = k . . . . . . multiply by the denominator
Then the equation of interest is ...
f = 17.5/c . . . . . . . where c is in cm, and f is in newtons
__
(b)Using the above equation, we find the force to be ...
f = 17.5/2 = 8.75 . . . . newtons
_____
Additional comment
We often look at several different kinds of proportionality:
y = kx . . . . directy = k(1/x) . . . . inversey = kx² . . . . proportional as the squarey = kx·z . . . . jointly proportional to x and zand there are combinations of these, such as ...
y = kr²h . . . . jointly proportional to h and the square of rYou may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k
__
We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.
f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel
Please help me with this thanks! God bless you
You invest $30,000 for 6 years, in an account that earns 14% interest. How much money is in your account at the end of 6 years?
A
$69,153.95
B
$95,848.50
C
$35,849.18
D
$65,849.18
2 (b) The area of a rectangular window is 6272 cm cm? If the length of the window is 98 cm, what is its width?
Answer:
The width would be 64 cm
Step-by-step explanation:
Because the equation to find area is length times height
Since you have the area and the length, divide the area by the length to find the width
I hope this helps!
[4+3]
2071 Q. No. 14 (0)
State Bolazano Weirstrass theorem. If A is any set in R then prove A = AUA'. [1+3]
2071 Q. No. 14 (ii) a
Define isolated point.
And find the isolated point for the set A = (0, 1){2}.
2072 Q. No. 2
The notation A = {0,1, 2} is an illustration of sets
The set A do not have isolated points
What is an isolated point?
An isolated point is an element of a set that belongs to a set A and any neighboring sets N, such that the set N do not contain other elements of set A
The isolated point for set A?The set A is given as:
A = {0,1, 2}
The elements of the set A do not exists in other sets
So, we can say that set A do not have isolated points
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A=bh (b=8, h=5) what does A equal to evaluate this problem using the equation below
Answer:
40
Step-by-step explanation:
1. Select the three rational numbers.
A. 5/1
B. 7/0
C. -0.02
D. 4.17(the 7 repeats)
E. 3.14 (pi)
F. 3.14 (pi squared)
Answer:
A. 5/1
C. -0.02
D. 4.177777....
Step-by-step explanation:
Rational numbers can be written as a ratio of numbers, such as 5/1. As decimals, the numbers either
*** "terminate" the decimal has a certain number of digits and then stops, such -0.02, this can be written as a ratio -2/100 which is -1/50
OR
*** "repeats" , such as 4.17777... which can also be written as a ratio, 4.1777... = 188/45
7/0 is undefined and the pi numbers are irrational, the digits of the decimal do not repeat and do not ever end, therefore NOT rational.
How many congruent faces does the square pyramid below have?
A.
5
B.
6
C.
4
D.
2
Answer:
C. 4
Step-by-step explanation:
Each side of the Square pyramid is congruent
Answer: c which is 4 sides
Step-by-step explanation: the square pyramid has 4 sides which are having equal sides so they are congruent . Hope it helps . Please give brainliest .
NEED AN ANSWER NOW! WILL GIVE YOU BRAINLIEST!!
I can't figure out what's the answer, I'm clueless.
Answer:
10
Step-by-step explanation:
On the chart, it says "Number of hostel rooms: 10". The rest of the data is useless and is just there to confuse you.
A circle has an area between 100-150 square inches,what are some possible lengths for a diameter of this circle
Answer:
it would range between 11.28379... to 13.819765...
Step-by-step explanation:
the circle's area formula is pi * radius^2
so you make to equation, plugging the 100 and 150 into the circle's area
you get square root of (100/pi) which gets 11.28379... for the area of 100
you do the same with 150 to get square root of (150/pi) which gets 13.819765...
those are the diameter of the circle since the diameter is double the radius which i already multiplied afterwards. so if you need the radius divide the number ive given you
On the 11th of March, 2011, an earthquake along the eastern shore of Japan caused a tsunami, which
then damaged a nuclear power plant. Several radioactive elements were released into the air and ocean.
Use an exponential decay formula to model how long some of these elements can be expected to persist
in the environment.
4. Cesium-137 has a decay constant of
0.0231 (a 30 year half-life). If 20
pounds of cesium-137 were released
into the Pacific Ocean by the tsunami,
how much will still be there ten years
later?
5. Strontium-90 has a decay constant of
0.0248 (a 28 year half-life). If 80
pounds of strontium-90 were
released into the Pacific Ocean by the
tsunami, how much will be left in 75
years?
6. When strontium-90 decays, it transforms into yttrium-90, which has a half-life of
only 64 hours, (0.007302 years). If the decay constant of yttrium-90 is -94.93,
what percentage of a one-pound sample will be left after one month ( of a
year)?
The radioactive sponteanous decay of the parent nucleus gives rise to the daughter nucleus.
What is radioactivity?Radioactivity refers to the sponteanous decay of a substance. We have the formula;
N(t) = Noe^-kt
Where;
N(t) = amount of radioactive material left after time t
No = amount of radioactive material initially present
k = decay constant
t = time taken
Let us now solve the questions individually;
a)
No = 20 pounds
N(t) = ?
k = 0.0231
t = 10 years
N(t) = 20e^-(0.0231 * 10)
N(t) = 16 pounds
b)
No = 80 pounds
N(t) = ?
k = 0.0248
t = 75 years
N(t) =80e^-(0.0248 * 75)
N(t) = 12.45 pounds
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Factor completely
X^6-125y^6
Please I need a lot of help
Answer:
that's a computer I'm sorry di ko po Alam
Step-by-step explanation:
ty sa points
PLEASE HELP!! WILL MARK BRAINLIEST!!!
Set up the triple integral for the volume of the sphere ρ=4 in spherical coordinates.
In Cartesian coordinates, the volume is
[tex]\displaystyle \iiint_R \mathrm dV[/tex]
where R is the set
[tex]R = \left\{(x,y,z) \, : \, -4\le x\le4 \text{ and } -\sqrt{16-x^2} \le y \le \sqrt{16-x^2} \text{ and }\right. \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~\left.-\sqrt{16-x^2-y^2} \le z \le \sqrt{16-x^2-y^2} \right\}[/tex]
Converting to spherical coordinates, we take
[tex]\begin{cases}x=\rho\cos(\theta)\sin(\phi) \\ y=\rho\sin(\theta)\sin(\phi) \\ z = \rho\cos(\phi)\end{cases}[/tex]
and we can compute the Jacobian to find
[tex]dV = dx\,dy\,dz = \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]
and the set R transforms to
[tex]R' = \left\{(\rho,\theta,\phi) \,:\, 0\le \rho\le4 \text{ and }0\le\theta\le2\pi \text{ and } 0\le\phi\le\pi\right\}[/tex]
The new integral and hence the volume is then
[tex]\displaystyle \iiint_R \mathrm dV = \iiint_{R'} \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi \\\\ = \boxed{\int_0^\pi \int_0^{2\pi} \int_0^4 \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi}[/tex]
Select the two values of x that are roots of this equation.
x² + 34-3=0
. A. X=
-3+2/3
2
B. X=
-3-3
N
I X =
C. x.-3+27
=
1/21
2
O
D. *= -3-V21
=
2
Answer:
A. x=3 2.3
B . x=8
C. x=i do not know.
D. x=26
Step-by-step explanation:
A. -3+2/3=2
-3+2/3=-2 1/3
-2 1/3+3 2/3.=2
B. -3-3n=1
-3-3=-6n
-6n+8=1
C i do not understand.
D. -3-v21=2
21√5
Decimal Form:
1.0796532
or -24=2
-24+26=2
Consider the principle
N{A ∪ B} = N{A} + N{B} − N{A ∩ B}.
An interview of 50 women in a residential subdivision reveals that 22 are gardeners while 31 are avid readers. How many are both gardeners and avid readers?
3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step-by-step explanation:[tex]31+22-50[/tex]
____________________________________________
Calculate
[tex]53-50[/tex]
____________________________________________
Calculate the sum or difference
[tex]3[/tex]
I hope this helps you
:)
Simplify the expression 20+6k-14+k WILL MARK BRAINLIEST
Answer:
7k + 6
Steps:
Subtract the numbers 20+6k-14k+k
6+6k+k
Combine the terms:
6+6k+k
6+7k
Rearange terms:
6+7k
7k+6
solve the following
Step-by-step explanation:
1.
so 90 km on 17 liters.
that is a 90/17 ratio (or proportion).
that means it runs 90/17 km on 1 liter.
and therefore (90/17)×20 on 20 liters.
90×20/17 = 105.8823529... km
2.
the ratio is 66/22 based on the RPMs.
66/22 = 3/1 = 3
so, the larger gear has then 3×6 = 18 teeth.
3.
the ratio is 150/75 based on the RPMs.
the circumference of a circle is
2×pi×r
so, it is a linear relationship with the radius r (and therefore the diameter d).
so, the diameter of the larger pulley is 2×10 = 20 in
4.
the ratio here is 18/6.
18/6 = 3/1 = 3.
again, this relates to the circumference, which is a linear relationship with the radius or diameter.
the smaller gear has then 72/3 = 24 teeth.
5.
the ratio is 2/3.
so, the larger pulley has 3450×2/3 RPM.
= 2,300 RPM
6.
2.5 kg cost 110.
that is a 2.5/110 ratio :
and that means we get 2.5/110 kg for one unit of money.
and therefore we get 80 × 2.5/110 kg for 80 units of money.
80 × 2.5/110 = 8 × 2.5/11 = 20/11 = 1.818181818... kg
The hypotenuse of a right triangle measures 7 cm and one of its legs measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth
Use calculus to find the volume of the following solid S:
The base of S is a circular disk with radius r. Parallel cross-sections perpendicular to the base are squares.
I assume the base of S is the disk centered at the origin, or x² + y² ≤ r². Solving for y gives two solutions corresponding to the upper and lower halves of the circular boundary,
[tex]x^2+y^2 = r^2 \implies y = \pm \sqrt{r^2-x^2}[/tex]
and the vertical distance between them - i.e. the side length of each cross section - is
[tex]\sqrt{r^2-x^2} - \left(-\sqrt{r^2-x^2}\right) = 2\sqrt{r^2-x^2}[/tex]
Then the volume of each square cross section 4 (r² - x²) ∆x, and the volume of S is
[tex]\displaystyle \int_{-r}^r 4(r^2-x^2) \, dx[/tex]
By symmetry, this is the same as
[tex]\displaystyle 8 \int_0^r (r^2-x^2) \, dx[/tex]
which gives a volume of
[tex]\displaystyle 8 \int_0^r (r^2-x^2) \, dx = 8 \left(r^3 - \frac{r^3}3\right) = \boxed{\frac{16r^3}3}[/tex]
{2x+3y=−7, 7x+9y=−14
Answer as an ordered pair (x,y).
Answer:
Step-by-step explanation:
2x + 3y = -7
7x + 9y = -14
-3(2x+3y= -7) = -6x - 9y = 21
-6x - 9y = 21
7x + 9y = -14
add columns (y values cancel)
1x + 0y = 7
x = 7
plug 7 into the x value in either equation to find y
2(7) + 3y = -7
14 + 3y = -7
3y = -21
y = -7
(x,y) = (7,-7)
For the following pairs, indicate which do not comply with the rules for setting up hypotheses, and explain why. (Select all that apply.)
(a) H0: ? = 15, Ha: ? = 15
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(b) H0: p = 0.5, Ha: p > 0.6
This pair complies.This pair does not comply because p is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(c) H0: ? = 121, Ha: ? < 121
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(d) H0: ? = 123, Ha: ? = 125
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(e) H0: p? = 0.2, Ha: p? ? 0.2
This pair complies.This pair does not comply because p? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
It can be inferred that H0: ? = 15, Ha: ? = 15 doesn't comply because both hypothesis use an equal sign.
How to illustrate the hypothesis?From the information, H0: p = 0.5, Ha: p > 0.6 doesn't comply because the two hypothesis use different numbers.
Furthermore, H0: ? = 121, Ha: ? < 121 shows that the pair complies. Also, H0: ? = 123, Ha: ? = 125 doesn't comply as they use the equal sign and different numbers.
Lastly, H0: p? = 0.2, Ha: p? ? 0.2 doesn't comply because p is not a population characteristic.
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Jia is thinking of a number she gives
three clues about the number. the number is
even, the number is less than 12 and the absolute
value of the number is between 9 and is what
is Jia's number? Explain how
you know.
Use the order of operations to find the value of the expression. 12
÷
2
×
3
−
(
7
−
5
) HELP KME OUT
Answer:
16
Step-by-step explanation:
12 divided by 2 x 3 - (7 - 5)
6 x 3 - 2
18 - 2
16
Answer:
answer 16
Step-by-step explanation:
12 ÷ 2 x 3 - ( 7 - 5 ) is it right?
---------------------------------------------
Solving from left to right
12 ÷ 2 x 3 - ( 7 - 5 )
6 x 3 - (+2)
18 - 2
16
The area of the circle
Answer:
A=1
4πd2=1
4·π·122≈113.09734
Step-by-step explanation:
Answer:
113.04 feet :)
Step-by-step explanation:
First we divide 12 by 2 to find the radius!
12/2 = 6
Now we can solve!!
3.14(6^2)
3.14(36)
113.04
Have an amazing day!!
Please rate and mark brainliest!!
help me find Find AB
The distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.
We have,
The length along a line or line segment between two points on the line or line segment.
The coordinates of A are (-18, -18)
coordinates of B are (20, 0)
coordinates of C are (-12, 16)
The formula for distance is Distance=√(x₂-x₁)²+(y₂-y₁)²
Distance AB=√(20-(-18))²+(0-18)²
=√(20+18))²+(0-18)²=√38²+18²
AB=√1444+324
=√1768
=42.04 units
Distance BC=√(-12-20)²+(16)²
=√(-32)²+(16)²=√1024+256
=√1280
=35.77
Distance CA=√(-12-(-18))²+(16+18)²
=√(6)²+(34)²
=√36+1156=34.5
Hence, the distance of AB is 42.04 units, BC is 35.77 units and CA is 34.5 units.
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complete question:
PLease help me find the distance between AB BC and CA please help