Answer:
Negative StartFraction 1 Over 27 EndFraction
(-1/27)
Step-by-step explanation:
Given expression
(P^-5)(p^-4)(q^3)
When
P=3 and q=-9
(P^-5)(p^-4)(q^3)
=(3^-5)(3^-4)(-9^3)
=(1/3^5)(1/3^4)(-9^3)
=(1/243)(1/81)(-729)
Multiply all numerators
We have,
= (-729)/(243)(81)
Multiply all denominators
= -729/19,683
= -1/27
Negative StartFraction 1 Over 27 EndFraction
Answer:
-1/27
Step-by-step explanation:
8. At a target shooting stall in a fair, for every chance a person got he was paid ₹ 15 if he hit the target, and would have to pay ₹ 5 to the stall keeper for every shot he missed. How much money did Manish make if he shots a total of 25 times and missed 5 times.
DOSTO PLEASE SOLVE IT ISKA ANSWER AANA CHAHIYE ₹ 275. STATEMENT BHI LIKH NI H.
Answer:
Since Manish hit the target 25 - 5 = 20 times, he earned 15 * 20 = ₹ 300. Since he missed 5 times, he lost 5 * 5 = ₹ 25, therefore, he only earned 300 - 25 = ₹ 275.
Answer:
Manish hit the target=25-5=20times
He he earned=15×20=₹300
Since he missed 5 times he lost 5×5=₹25
Therefore,he only earned 300-25=₹275
I HOPE YOU LIKE IT. THIS IS THE CORRECT ANSWER
compare two spheres. first has a diameter of 8 yards. The second sphere has a diameter of 1064 yards. Determine the ratio of the volume of the larger sphere to the volume of the smaller sphere
Answer:
The ratio of the volume of the larger sphere to the volume of the smaller sphere is
2352637 : 1Step-by-step explanation:
Volume of a sphere is
[tex] \frac{4}{3} \pi {r}^{3} [/tex]
Where r is the radius
radius = diameter / 2
For First sphere
diameter = 8yards
radius = 8 / 2 = 4 yards
Volume of first sphere is
[tex] \frac{4}{3} \pi( {4})^{3} \\ \\ = \frac{256}{3} \pi \: {yd}^{3} [/tex]
For second sphere
diameter = 1064 yards
radius = 1064 / 2 = 532 yards
Volume of second sphere is
[tex] \frac{4}{3} \pi( {532})^{3} \\ \\ = \frac{602275072}{3} \pi \: {yd}^{3} [/tex]
Since the volume of the second sphere is the largest
Ratio of the second sphere to the first one is
[tex] \frac{602275072}{3} \pi \div \frac{256}{3} \pi \\ \\ = \frac{602275072}{3} \pi \times \frac{3}{256} \pi \\ \\ = \frac{602275072}{256} \\ \\ = \frac{ 2352637}{1} \\ \\ = 2352637: 1[/tex]
Hope this helps you
ASAP!! PLEASE help me solve this question!!! No nonsense answers, and attach solutions please!
Answer:
[tex]\boxed{\sf Option \ 3}[/tex]
Step-by-step explanation:
When x is -2, F(x) is undefined.
When x is -1, F(x) is -3.
If we see the third option,
[tex]F(x)=\sqrt{x+1} -3[/tex]
When x is -2, we get the square root of -1, which is undefined.
When x is -1, we get the square root of 0, which is just 0, 0-3 is -3.
if A = (-2, -4) and B = (-8, 4) what is the length of AB
Answer:
10Step-by-step explanation:
[tex]A = (-2, -4) \\ B = (-8, 4) \\ d = (\sqrt{( {x_2 - x_1})^{2} + ({y_2 - y_1})^{2} } [/tex]
[tex]x_1 = - 2 \\ y_1 = - 4 \\ x_2 = - 8 \\ y_2 = 4[/tex]
[tex]d = \sqrt{ {( - 8 - ( - 2)}^{2} + {(4 - ( - 4))}^{2} } \\ d= \sqrt{ {( - 6)}^{2} + {8}^{2} } \\ d = \sqrt{36 + 64} \\ [/tex]
[tex]d = \sqrt{100} \\ d = 10[/tex]
Answer:
10
Step-by-step explanation:
Two similar polygons are shown below: A coordinate grid is shown from positive 10 to negative 10 on the x-axis and from positive 10 to negative 10 on the y-axis. A polygon P prime Q prime S prime R prime is shown with vertex P prime on ordered pair 3, 2, vertex Q prime on ordered pair 1, 2, vertex S prime on ordered pair 1, 1 and vertex R prime on ordered pair 2, 1. A polygon PQSR is shown with vertex P on ordered pair 9, 6, vertex Q on ordered pair 3, 6, vertex S on ordered pair 3, 3 and vertex R on ordered pair 6, 3. Which set of transformations was performed on PQSR to form P'Q'S'R'? A dilation factor of 2 A dilation factor of 1 over 3 A dilation factor of 1 over 2 A dilation factor of 3
Answer:
Dilation factor of 3
Step-by-step explanation:
First you wil want to find out the the coordinates for each of the shapes:
Regular:
P =9,6
Q =3,6
R =6,3
S =3,3
Prime notation:
P' =3,2
Q' =1,2
R' =2,1
S' =1,1
Then using great old common sense in the picture you will see 3 units go down to 1 unit which will indicate Dilation factor of 3 as the answer!
Hope this helps!
Answer:
The Dilation of the polygon would be 3
Step-by-step explanation:
The reason the answer shall be three is because if you look at both polygons and then look at their angles you should come to notice that the angle coordinates for the polygon that has been used for dilation multiplied by 3 would be congruent to the dilated shape, so in short look at lets say... the top right angle of both polygons, look at both of them and multiply the shape that has not been dilated and multiply that top right angle by whatever equals the dilated shapes angle value, for example (3,3)x3 = (9,9), thus the answer would be that the dilation is equal to 3.
Hope this helps, have a great day, and please consider giving me a Brainliest!!! ;)
Need a little help does anyone’s know how to do this?
Answer:
106°
Step-by-step explanation:
Given that the points B, C and D are colinear, it means that
2x + 40 = 5x + 10
collecting like terms
40 - 10 = 5x - 2x
3x = 30
x = 10
Hence the angle ∠E
= 5(10) + 10
= 60°
∠BCE = X + 4
= 10 + 4
= 14°
Given that the sum of angles in a triangle is 180°
∠D + 14 + 60 = 180
∠D = 180 - 74
= 106°
Factor the term ab - by - ay + y2
Answer
(a - y) (b - y)
Step-by-step explanation:
(ab - ay) (-by + y^2)
a (b - y) -y ( b - y)
(a-y) (b - y)
.. ..
Answer:
[tex]\boxed{(a-y) (b - y)}[/tex]
Step-by-step explanation:
Rearrange the terms.
[tex](ab - ay) (-by + y^2)[/tex]
Factor out common term.
[tex]a (b - y) -y ( b - y)[/tex]
Apply rule : [tex]a(b+c)+d(b + c) = (a+d)(b+c)[/tex]
[tex]a (b +- y) +-y ( b +- y)[/tex]
[tex](a+-y) (b +- y)[/tex]
What is 36 with a exponent of 2 dquated
Answer:
Hey there!
That would be the square root of 36, or 6.
Hope this helps :)
choose one answer. please help i dont get it at all
Answer:
x < 6
Step-by-step explanation:
open circle < or >, closed circle ≤ or ≥
SIMPLIFY: M2 x M5 xM3 PLEASE HELP!!! ASAP!!!!
Answer: M^10
Step-by-step explanation:
since the base number is the same, just add up the exponents: 2+5+3=10
Answer:
Step-by-step explanation:
If its like M^2 x M^5 x M^3 (exponents)
then just add 2+5+3=10
so M^10
Its a rule when the bottom (M) is the same you add the exponents.
If its 2M x 5M x 3M then you multiply
2x5x3=30
so 30M
Hope this helps!
Frank the lumberjack has a log that is 291 centimetres long. He cuts it into three pieces. Work out the length of the third piece if the first two pieces are 67cm and 181cm long.
Answer:
43cm
Step-by-step explanation:
Given
Length of Log = 291cm
First Piece = 67cm
Second Piece = 181cm
Required
Determine the length of the third piece
Given that the log was cut into three;
this implies that;
Length of Log = First Piece + Second Piece + Third Piece
Substitute values for first piece, second piece and length of log;
[tex]291 = 67 + 181 + Third\ Piece[/tex]
[tex]291 = 248 + Third\ Piece[/tex]
Subtract both sides by 248
[tex]291 - 248 = 248 - 248 + Third\ Piece[/tex]
[tex]43 = Third\ Piece[/tex]
[tex]Third\ Piece = 43[/tex]
Hence, the length of the third piece is 43cm
Help I will mark brainliest
Answer:
A.{7}^{15}
[tex]4.7475615 {}^{12}[/tex]
Step-by-step explanation:
[tex]( {7}^{5} ) {}^{3} = {7}^{5} =(16807) {}^{3}=4.7475615 {}^{12} [/tex]
Hope this helps ;) ❤❤❤
A tissue sample is three cells thick. Each cell has a thickness of 0.000004m. What is the thickness of the tissue sample in mm. Give your answer in standard form. PLZ SHOW WORKING
Answer:
4000 nm
Step-by-step explanation:
Conversion from meters to nanometers: 1 meter is 1(10⁹) nm
Step 1: Convert 0.000004 to scientific notation
0.000004 = 4(10⁻⁶)
Step 2: Convert by multiplication
4(10⁻⁶) x 1(10⁹) = 4000 nm
Amanda rides her bike due east for 10 km. Angela rides her bike 20 degrees south of east 12 km. How far apart are Amanda and Angela? (Round to the nearest tenth).
Answer:
Distance between Amanda and Angela (c) = 4.30 km (Approx)
Step-by-step explanation:
Given:
Amanda rides (a) = 10 km
Angela rides (b) = 12 km
Angel between them = 20°
Find:
Distance between Amanda and Angela (c)
Computation:
Using law of cosines:
c² = a² + b² - 2abCosФ
c² = 10² + 12² - 2(10)(12)Cos20°
c² = 100 + 144 - 2(10)(12)(0.9397)
c² = 244 - 225.528
c² = 18.472
c = 4.2979
Distance between Amanda and Angela (c) = 4.30 km (Approx)
Please help. First person to answer correctly with explanation will get brainiest!!!
Answer:
64° aka D
Step-by-step explanation:
∠J + ∠L + ∠LKJ = 180°
58° + 58° + ∠LKJ = 180°
116° + ∠LKJ = 180°
∠LKJ = 180° - 116°
= 64°
hope i helped
-lvr
Please answer this fast now
Answer:
CD = 2Step-by-step explanation:
If m∠CED = 30° and m∠CDE = 90° than triangle CED is half of equilateral triangle where CE is side of the equilateral triangle, DE is hight of equilateral the triangle and CD is half of side of the equilateral triangle.
[tex]\dfrac{CE\sqrt3}2=2\sqrt3\\\\CE\sqrt3=4\sqrt3\\\\CE=4=s\\\\CD=\dfrac s2=\dfrac42=2[/tex]
Solve. 8x² + 5 = 35 Round to the nearest hundredth. Enter your answers in the boxes. The solutions are approximately and .
Answer:
x=1.94
x = - 1.94
Step-by-step explanation:
8x² + 5 = 35
Subtract 5 from each side
8x² + 5-5 = 35-5
8x² = 30
Divide each side by 8
8x² /8 = 30/8
x² = 15/4
Take the square root of each side
sqrt( x²) = ±sqrt(15/4)
x = ±sqrt(15/4)
x=1.93649
x = - 1.93649
To the nearest hundredth
x=1.94
x = - 1.94
Answer:
1.94
Step-by-step explanation:
[tex]8x^2+5=35\\8x^2=30 \\x^2=30/8\\x^2=3.75\\\sqrt{3.75} \\[/tex]
≈ ±1.94
the full screen guys
Answer:
(-2 2/3,0)
(0,2)
Step-by-step explanation:
Just did it
Answer:
Step-by-step explanation:
the two points are(0,2), (-8/3,0)
A function f(x) has x-intercepts of -3 and -5 what is the constant term in the function f(x)=x^2+8x+
Answer:
[tex]x^{2}[/tex]
Step-by-step explanation:
because x^{2} represents the quadratic equation, so I don't think it will affect it
What is the following product?
Answer:
[tex]\boxed{6\sqrt{6} }[/tex]
Step-by-step explanation:
[tex]\sqrt{12} \sqrt{18}[/tex]
Multiply square roots.
[tex]\sqrt{12 \times 18}[/tex]
[tex]\sqrt{216}[/tex]
Simplify square root.
[tex]\sqrt{36} \sqrt{6}[/tex]
[tex]6\sqrt{6}[/tex]
hii I need a help ....
thank you
Answer:
a) 4 : 1 : 10
b) 25 : 9 : 13
c) 18 : 11 : 3
d) 2000 : 20 : 1
Step-by-step explanation:
We are to put the values in the form a : b : c
a) 40 ml, 1/100 l, 0.1 l
Put them all in ml (1 l = 1000 ml)
40ml, 10 ml, 100 ml
Therefore:
40 : 10 : 100
In lowest terms, 4 : 1 : 10
b) 2 1/2 kg, 900 g, 1.3 kg
Put them all in grams, (1 kg = 1000 g):
2500 g, 900 g, 1300 g
Therefore:
2500 : 900 : 1300
In lowest terms, 25 : 9 : 13
c) 1.5 hrs, 55 minutes, 1/4 hrs
Put them all in minutes (1 hour = 60 minutes)
90 minutes, 55 minutes, 15 minutes
Therefore:
90 : 55 : 15
In lowest terms, 18 : 11 : 3
d) 60 cm, 6 mm, 0.03 cm
Put them all in mm (1 cm = 10 mm)
600 mm, 6 mm, 0.3 mm
Therefore:
600 : 6 : 0.3
In lowest terms, 2000 : 20 : 1 (Divide by 0.3 because a ratio cannot be decimal)
Please answer this question now
Answer:
[tex] r = 17.5 [/tex]
Step-by-step explanation:
Given ∆TRS,
Where,
m < R = 105°
TR = s = 15
RS = t = 6
ST = r = ?
Find r using the Law of Cosines.
[tex] r^2 = s^2 + t^2 - 2*s*t*cos(R) [/tex]
Plug in the values stated above into the formula
[tex] r^2 = 15^2 + 6^2 - 2*15*6*cos(105) [/tex]
[tex] r^2 = 225 + 36 - 180*(-0.2588)[/tex]
[tex] r^2 = 261 + 46.584 [/tex]
[tex] r^2 = 307.584 [/tex]
[tex] r = \sqrt{307.584} [/tex]
[tex] r = 17.5 [/tex] (to the nearest tenth)
A cylinder has a volume of 390cm^3 If a cone has the same dimensions as the cylinder, what is it's volume?
Answer:
Volume of cone = 130 cm³
Step-by-step explanation:
Given:
Volume of cylinder = 390 cm³
dimensions of cylinder = dimensions of cone
Find:
Volume of cone
Computation:
Volume of cylinder = πr²h
390 = πr²h
124.090909 = r²h
So,
Volume of cone = (1/3)πr²h
Volume of cone = (1/3)(22/7)r²h...........[124.090909 = r²h]
Volume of cone = (1/3)(22/7)(124.090909)
Volume of cone = 130 cm³
Brandon mows his lawn once every 4 days. Thomas mows his lawn once every 8 days. Celena mows her lawn once every 6 days. If they are all mowing the lawn today, in how many days will they be mowing their lawns together again? A. 72 B. 24 C. 18 D. 12
Answer: B
Step-by-step explanation:
4,8 and 6 all go into 24
. The value of a lottery prize doubles
each week until there is a winner. If
the prize is $1000 the first week,
write a recursive function rule and an
explicit function rule to model the
value of the prize P, in dollars, after t
weeks without a winner. (14.2)
Answer: P(t) = $1000*2^t
Step-by-step explanation:
Ok, we know that in the week 1 the price is: p = $1000
After one week, the price doubles, so here we have: p = 2*$1000
After another week, the price doubles again, here the price is:
p = 2*(2*$1000) = $1000*2^2
Here we already can see the relation, for each week, we multiply the previous price by two, which will increase the exponent in the two by 1 unit.
Then, for week number t, the price will be:
P(t) = $1000*2^t
The cost of tea varies directly with the mass. Liz bought 4.5kg of tea for $10.35. What is the cost of 12kg of tea?
Answer:
$ 27.6.
Step-by-step explanation:
Let the cost of tea be C.
Let the mass of tea be M
From the question given, we were told that the cost of tea varies directly with the mass. This can be expressed as:
C & M
C = KM
K is called constant of proportionality.
C is the cost of the tea.
M is the mass of tea.
Next, we shall determine the constant of proportionality, K.
Cost (C) = $ 10.35
Mass (M) = 4.5 kg
Constant (K) =..?
C = KM
10.35 = K × 4.5
Divide both side by 4.5
K = 10.35/4.5
K = 2.3
Finally, we shall determine the cost of 12kg of tea as follow:
Mass (M) = 12 kg
Constant (K) = 2.3
Cost (C) =..?
C = KM
C = 2.3 × 12
C = $ 27.6
Therefore, the cost of 12 Kg of tea is $ 27.6
Answer:
$27.6
Step-by-step explanation:
10.35 divided by 4.5 = 2.3
$2.3 for 1 kg
2.3 times 12= 27.6
which one of the following equals the difference between the total surface area and base area of any three-dimensional figure? PLEASE NEED ANSWERS
Answer:
dimensional figure are
ASAP!!! PLEASE help me solve this question! No nonsense answers, and attach solutions please.
Answer:
2<F(x)<5
Step-by-step explanation:
We can guess that it come between 2 and 5 given the pattern that we see in the table, but there’s no reason we can’t solve it to be sure.
F(x)=3 (Times the square root of 1.5-1)+2
3(square root of .5)+2
3(0.7)+2
2.12+2
4.12
So, yes, it is between 2 and 5
2<F(x)<5
Now, you will use the inverse trig function to solve. Round to the nearest whole number. x= ∘ What trig function would we use to set up our trig function to solve for y?
Answer:
1. Cosine
2. x = 49°
3. Sine
4. y = 41°
Step-by-step explanation:
1. The trig function that will be used to solve for x is cosine.
2. Determination of angle x
x° =..?
Adjacent = 13
Hypothenus = 20
Cos x = Adjacent /Hypothenus
Cos x = 13/20
Take the inverse of Cos
x = Cos¯¹ (13/20)
x = 49°
3. The trig function that will be used to solve for y is sine.
4. Determination of angle y.
y° =..?
Opposite = 13
Hypothenus = 20
Sine y = Opposite /Hypothenus
Sine y = 13/20
Take the inverse of Sine
y = Sine¯¹ (13/20)
y = 41°
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
i am very sure that the answer is D which is domain does not change and the range changes.
Step-by-step explanation:
it is because always range value can varry more over when H(x) is equal to A and range is equal to B .
A=B
similarly
A= -B