Corrected Question
Determine the values of a, b and c that make each equation true.
[tex](x^a)^6=\dfrac{1}{x^{30}} \\\\(x^{-7})^{-4}=x^b\\\\(x^{-2})^c=x^{22}[/tex]
Answer:
a=-5, b=28 c=-11Step-by-step explanation:
To solve for a,b and c, we apply the following laws of indices
[tex]\dfrac{1}{p^m}=p^{-m} \\\\(a^m)^n=a^{m X n}\\\\$If p^m=p^n,$ then m=n[/tex]
Therefore :
Part 1
[tex](x^a)^6=\dfrac{1}{x^{30}}\\\\x^{a*6}=x^{-30}\\6a=-30\\$Divide both sides by 6\\a=-5[/tex]
Part 2
To solve for b
[tex](x^{-7})^{-4}=x^b\\x^{-7*-4}=x^b\\x^{28}=x^b\\$Since they have the same base\\b=28[/tex]
Part 3
To solve for c
[tex](x^{-2})^c=x^{22}\\x^{-2*c}=x^{22}\\$Just as in part 2, the two sides of the equality have the same base, therefore:\\-2c=22\\Divide both sides by -2\\c=-11[/tex]
16.8=2.4e
find the value of E
Answer:
[tex]e = 7[/tex]
Step-by-step explanation:
[tex]16.8 = 2.4e \\ \frac{16.8}{2.4} = \frac{2.4e}{2.4} \\ \: \: \: \: \: 7 = e[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 29 inches tall and has a square base with sides that each measure 5 inches. How much paper will she use?
Answer:
she will use 420 inches of paper with 69 left over
Step-by-step explanation:
It is what it is
Answer:
She would use 330 inches of paper
Unit 5. 10) Please help. A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What is the volume of the pyramid?
Answer:
Volume of that pyramid:
V = Base area x Height
= (9 x 13) x 30
= 3510 ft3
Hope this helps!
:)
Answer:
Yes they're right, the correct answer is option 3.
Vincent can type 124 words in 2 minutes, how many words can he type in 4 minutes?
Answer:
248 words in 4 minutes
Step-by-step explanation:
words : minutes
124 : 2
Multiply each side by 2
124*2 : 2*2
248 : 4
248 words in 4 minutes
Answer:
He can type 248 words in 2 minutes.
Step-by-step explanation:
USING RATIOS:
124 : 2
x : 4
You must multiply each side by 2 to get...
248 : 4
The value of the expression 16 -2/4 is ______.
Answer:
8
Step-by-step explanation:
2/4 is equal to a half,so half of 16 is 8 so,you would do
16-8=8
What is the value of x in this equation 9 + 9 = 3(x - 6)?
Answer: [tex]x=12[/tex]
Step-by-step explanation:
[tex]9+9=3(x-6)[/tex]
simplify: add the 9's together and distribute the 3
[tex]18=3x-18[/tex]
add 18 to both sides
[tex]36=3x[/tex]
divide by 3
[tex]12=x[/tex]
[tex]x=12[/tex]
Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water.
Answer:
Step-by-step explanation:
he has to take the marbles and put them in a container. then he puts the marbles into the glass tank gently. Finally he can fill up a jar with water and pour it into the glass tank to fill it up.
For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =
Answer:
We have to questions here where we need to find the distance from the origin to each given point.
For (3,4).The formula for distance is
[tex]s=\sqrt{x^{2}+y^{2} }[/tex]
[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]
Therefore, the value s that yields the coordinate (3,4) is 5 units.
For (9,1).[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]
Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.
The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
The coordinates are given as:
(3,4) and (9,1)
The single value that yields the coordinates is calculated as:
[tex]s = \sqrt{x^2 + y^2}[/tex]
For (3,4), we have:
[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]
For (9,1), we have:
[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]
Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
Read more about coordinates at:
https://brainly.com/question/17206319
How to determine the function with the graph?
Jacobs pizza parlor sells pizza for $10 each, with a $20 delivery fee. Ashley's pizza parlor has a $12 delivery fee and sells pizza for $12 dollars each. At what point do the pizza parlors cost the same to deliver pizza?
Answer:
The pizza parlors cost the same when delivering 4 pizzas.
Step-by-step explanation:
For each store, the total price is
cost of pizzas + cost of delivery
The cost of delivery is just a fixed number for each store, $20 or $12.
The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.
Let x = number of pizzas
The cost of the pizzas is
Jacob's: 10x
Ashley's: 12x
Jacob's total cost (pizzas + delivery):
10x + 20
Ashley's total cost (pizzas + delivery):
12x + 12
We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.
12x + 12 = 10x + 20
Subtract 10 from both sides.
2x + 12 = 20
Subtract 12 from both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The pizza parlors cost the same when delivering 4 pizzas.
find the value of y squared when y is -9
Answer:
81
Step-by-step explanation:
-9^2, or -9 times -9 equals 81, the negatives cancel each other out
Your answer would be 81.
The calculation the question is asking us to do is y², but substitute in y for -9. This gives us (-9)². We know that 9² = 81, but (-9)² also equals 81 because when you multiply 2 negative numbers together, the negative sign cancels out.
I hope this helps!
A person is standing 200ft from a tower. She can see the top of the tower at a 42 degree angle of elevation. Her eyes are 5ft above the ground*. What is the height of the tower. Round your answer to the nearest foot
A. 154ft
B. 149ft
C. 185ft
Answer:
C. 185 ft
Step-by-step explanation:
The work is in the attached picture file, if you need it. Basically the question sets up a right triangle, for which the base is 200 and the height is the goal that you are solving for. It is given that the angle between hypotenuse and base is 42 degrees. For this you use tangent to say that
tan(42) = h / 200
200 tan (42) = h
h = 180 feet.
But then you must remember that this triangle starts 5 feet off of the ground. So you add the 5 feet and get 185 feet as the height of the tower.
A garden hose supplies 36 gallons of water in 3 mins use a table of equivalent ratios to show the garden hoses water flow in gallons per min and min per gallon
Answer:
The answer is 12
Step-by-step explanation:
If there are 36 gallons per 3 min. To find the per min you would divide 36 by 3.
Points A, B, and C lie on circle M such that
mABC = 262 . Find the measure of ∠ABC .
PLEASE HELPPPP
Answer:
i need help to with this Qestion to
Step-by-step explanation:
3. Find x, y, and z.
zº
xº
y
18°
64°
Answer:
[tex]y = 18 \: \: degrees[/tex]( vertically opposite angles)
[tex]x = 64 \: \: degrees[/tex]
[tex]y + z + x = 180 \\ 18 + z + 64 = 180 \\ 82 + z = 180 \\ z = 180 - 82 \\ z = 98 \: \: degrees[/tex]
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer:
The total earned after 30 days is 465000.
Step-by-step explanation:
The amount of money that I'll recieve can be modelled as a arithmetic sequence in which the next element is related to the prior by a sum of a rate "q". This sequence can be seen below:
{1000, 2000, 3000, ...}
Where q = 1000. In order sum all the "n" terms on a sequence of this kind we can use the following formula:
Sn = (n/2)*(a1 + an)
And to find the term an, we can use the formula:
an = a0 + (n-1)*r
Where n is the position of the number we want to calculate, in this case 30, a0 is the first number on the sequence and r is the rate between consecutive numbers. So the 30th term is:
a30 = 1000 + (30 -1)*1000
a30 = 1000 + 29*1000
a30 = 1000 + 29000 = 30000
And the total obtained is:
s30 = (30/2)*(1000 + 30000) = (30/2)*(31000)
s30 = 930000/2 = 465000
The total earned after 30 days is 465000.
Translate the expression with rational exponents into a radical expression. Simplify if necessary.
Answer:
(∛125)^5
= 3125.
Step-by-step explanation:
125 ^ (5/3)
= (cube root of 125) to the 5th power
= (∛125)^5
= 5^5
=
David&dan share a lottery win of £9900 in the ratio 3:2 David then shares his part between himself,his wife and their son how much more does his wife get over their son
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
David & Dan share a lottery win of £9900 in the ratio 3 : 2. David then shares his part between himself, his wife & their son in the ratio 4 : 4 : 2. How much more does his wife get over their son?
Solution:
David & Dan share a lottery win of £9900 in the ratio 3 : 2. The total ratio is 3 + 2 = 5
The amount that David got would be
3/5 × 9900 = £5940
Therefore, £5940 was shared in the ratio of 4 : 4 : 2. The total ratio is 4 + 4 + 2 = 10
The amount that his wife gets is
4/10 × 5940 = £2376
The amount that his son gets is
2/10 × 5940 = £1188
The amount that his wife gets over their son is
2376 - 1188 = £1188
If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible
Answer:
likely or probable
Step-by-step explanation:
hhhgfd
Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6
Answer:
x is equal to -2.8
Step-by-step explanation:
2(x-4)=4x+3x+6=
2x-8=7x+6
Subtract 2x from both sides
-8=5x+6
Subtract 6 from both sides
-14=5x
x=-2.8
Answer:
-14/5
Step-by-step explanation:
when opening the RHS bracket.
we will get 2x-8
further solving,
2x-8= 7x+6
then rearranging,
2x-7x= 6+8
-5x=14
so x= -14/5
Calcule as potências a seguir e escreva a resposta respectivamente 8 elevado a 2; 10 elevado a menos dois;- 4 elevado a 4; abre parentes - 6 fecha parentes elevado a 4
Answer:
We just have to solve each power.
[tex]8^{2} = 8 \times 8 = 64\\10^{-2} =\frac{1}{10^{2} } =\frac{1}{100}=0.01 \\(-4)^{4}=(-4) \times (-4) \times (-4) \times (-4)=256 \\(-6)^{4}=(-6) \times (-6) \times (-6) \times (-6)=1,296[/tex]
Remember, to solve a power, we just need to multiply its base as many times indicates its exponent.
It's important to know that the negative exponent indicates a position, that's why in the second exercise we needed to change the position of the power to continue.
A shipment of fifteen smartphones contains seven with cracked screens. If sold in a random order. What is the probability that exactly five of the first nine sold have cracked screens
Answer:
29.37% probability that exactly five of the first nine sold have cracked screens
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the smartphones are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
5 with cracked screens, from a set of 7.
9-5 = 4 with good screens, from a set of 15-7 = 8.
So
[tex]D = C_{7,5}*C_{8,4} = \frac{7!}{5!(7-5)!}*\frac{8!}{4!(8-4)!} = 1470[/tex]
Total outcomes:
Nine phones, from a set of 15. So
[tex]T = C_{15,9} = \frac{15!}{9!(15-9)!} = 5005[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1470}{5005} = 0.2937[/tex]
29.37% probability that exactly five of the first nine sold have cracked screens
Habib is making some scones.
His recipe tells him to bake the scones at 356°F for 30 minutes.
The temperature gauge on Habib's oven shows the temperature in
degrees Celsius, "C.
The formula to convert °F (Fahrenheit) into °C is:
C = 5F - 160
At what temperature, in °C, should Habib bake his scones?
Answer:
1620°C
Step-by-step explanation:
Using the equation
C = 5F - 160, at 356°F we'll have
C = 5(356) - 160
C = 1780 - 160
C = 1620°C
Please help and show work and steps
Answer:
I and III
Step-by-step explanation:
On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].
A chocolate factory made 708.6 pounds of dark chocolate in 6 days. How much dark chocolate, on average, did the factory make per day?
A) 116.76
B) 117.66
C) 118.10
D) 118.43
Answer: it’s answer C.
Step-by-step explanation: 708.6 ÷ 6 = 118.1(0)
Answer:
c
Step-by-step explanation:
If Quadrilateral JKLM is a square, where points J(0, 5), K(4, 7), L(?, ?) and M(2, 1) are known. Find the coordinates of point L
Group of answer choices
(7, 2)
(6, 3)
(5, 4)
(4, 4)
Answer:
THANKS FOR THE POINTS ^^^^
Step-by-step explanation:
(6,3)
I NEED HELP WITH THIS
Answer:
(i think it is for q6 so) $6
Step-by-step explanation:
4.50÷3=1.50 (that's for 1 pound of fudge)
1.50×4=6
In a café, drinks are priced according to what size they are.
The table shows the different sizes and costs.
Size of drink
Cost
Extra Small
£1.00
Small
£1.50
Medium
£2.00
£2.50
Large
Extra Large
£3.00
a) Gavin pays for one extra small and three large drinks.
Altogether, how much did they cost?
b) Lian pays for one small, one medium and one extra large drink
She pays with a £10 note.
How much change should she get?
Consider the system of equations. 5x + 2y = 6, 10x + 4y = 12 Which equation is equivalent to the first equation of the system and can be used to solve the system using the linear combination method
Step-by-step explanation:
(5x+2y=6)2
10x+4y=12
10x+4y=12 then substract
10x+4y=12
0=0 true so, it have infinite s/n
simplify (3mn)4 (with work please)
Answer:
12mn
Step-by-step explanation:
Just multiply 4 by 3
