Answer:
[tex]\huge\boxed{x=-11}[/tex]
Step-by-step explanation:
[tex]9^{2x}\cdot27^{3-x}=\dfrac{1}{9}\\\\9=3^2;\ 27=3^3;\ \dfrac{1}{9}=3^{-2}\\\\\text{therefore}\\\\(3^2)^{2x}\cdot(3^3)^{3-x}=3^{-2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^{2\cdot2x}\cdot3^{3(3-x)}=3^{-2}\\\\3^{4x}\cdot3^{9-3x}=3^{-2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\3^{4x+9-3x}=3^{-2}\\\\3^{x+9}=3^{-2}\iff x+9=-2\qquad|\text{subtract 9 from both sides}\\\\x+9-9=-2-9\\\\x=-11[/tex]
Find the mean of the data set {4.5,5, 3.5, 2, 2.5}.
So what is the answer ;, I nordeste im
Answer:
Mean = 3.5
Step-by-step explanation:
The given data is :
4.5,5, 3.5, 2, 2.5
We need to find the mean of the given data.
We know that,
Mean = sum of observations/total no. of observations
Here,
Total no. of observations = 5
Sum of observations = 4.5 + 5+ 3.5+ 2+ 2.5 = 17.5
Mean,
[tex]m=\dfrac{17.5}{5}\\\\m=3.5[/tex]
Hence, the mean of the data set is equal to 3.5.
3n - (2 +n)
plz help me I need help I’m stuck
Answer:
if you are factoring the answer is 2(n-1)
if simplifying the answer is 2n-2
Step-by-step explanation:
See image below:)
Aldo needs 46 cookies for a party.
The cookies he wants come in packs of 8.
How many packs should he buy?
Answer:
6 Packs
Step-by-step explanation:
Since he needs 46 cookies, he will have to buy 46/8 which is 5.75 packs. But since the packs are sold in whole, not fractions, he buys a ceil approximation of the packs which is 6, because if he buys 5, it will not be enough.
on a highway, Nick's car uses 12.5 gallons of gas to travel 240 miles. The gas tank in Nick's car holds 20 gallons of gas.
How far can Nick's car travel on a highway using a full tank of gas?
Answer:
Nick's can travel 384 miles on a highway using a full tank of gas of his car
Step-by-step explanation:
Given
Fuel used by Nick's car = 12.5 gallon
In 12.5 gallon Nick can travel up to 240 miles
The gas tank of Nick's car can hold upto 20 gallons of fuel
With a full tank Nick can travel
[tex]\frac{240}{12.5} * 20 \\384[/tex]miles
Every 2 days, Marina spends a total of 5.25 hours baking cupcakes and 4.75 hours decorating the cupcakes. At this rate, what is the total number of hours that Marina will spend baking and decorating cupcakes in 7 days?
PLS HELP!!! I HAVE A TIME LIMIT
Answer:
70
Step-by-step explanation:
Ok so we first add 4.75 and 5.25. 4.75+5.25=10. So 10 hours each day so 10 x 7 = 70. 70 hours in 7 days
Answer:
i would say it is either 30 or 35
Step-by-step explanation:
7/2=3.5
so you would round it down to 3 or keep it that
and 4.75+5.25=10
3(10)=30 and 3.5(10)=35
If it's every two days.
C.P. = Rs400, Loss = 12% , Find S.P
Answer:
Step-by-step explanation:
CP= Rs 400
loss%=12%
let sp be x
SP=CP-loss%*CP
x=400-12/100*400
x=40000-4800/100
x=35200/100
x=352
therefore sp =Rs 352
Answer:
S.P. = ₹352
Step-by-step explanation:
UNITARY METHOD:
If C.P. = ₹100
Then SP = ₹(100-12) = ₹88
If C.P. = ₹1
S.P. = ₹(88/100)
Then, as given: C.P. = Rs 400
S.P. = ₹( 88/100)*400
= ₹352
Therefore, S.P. = ₹352
2.1x10^6
______
7x10^3
answer in standard form
...................10^......
Given:
The expression is:
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}[/tex]
To find:
The simplified form of the given expression in standard form.
Solution:
We have,
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}[/tex]
It can be written as:
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=\dfrac{21\times 10^5}{7\times 10^3}[/tex]
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=\dfrac{21}{7}\times \dfrac{10^5}{10^3}[/tex]
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=3\times 10^{5-3}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=3\times 10^2[/tex]
Therefore, the required value is [tex]3\times 10^2[/tex].
Find c.
i’ll mark as brainiest if correct
Answer:
square root of 325
Step-by-step explanation:
A triangular prism is 33 meters long and has a triangular face with a base of 20 meters and a height of 24 meters. The other two sides of the triangle are each 26 meters. What is the surface area of the triangular prism?
Answer:
7920
Step-by-step explanation:
Answer:
V = 6196.62 m³
Step-by-step explanation:
Given: A triangular prism; 33 meters long, a base of 20 meters, a height of 24 meters. The other two sides of the triangle are each 26 meters
To find: What is the surface area of the triangular prism?
Formula: [tex]A = 12bh[/tex]
Solution: Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
How many ways can 3 different flags be hung in a row if there are 8 flags to choose from?
Answer:
8 flags can be chosen for the first position
7 flags are left for the second position
6 flags are left for the third position
8 * 7 * 6 = 336
How would you simplify this? Please help
[tex]8^{\frac{4}{3}} = \sqrt[3]{8^4} = \sqrt[3]{(2^3)^4} = \sqrt[3]{2^{3*4}} = 2^4 = 16[/tex]
Answer: C (16).
[tex]2\sqrt{6} - 6\sqrt{54} = 2\sqrt{6} - 2 * 3 * \sqrt{6} * \sqrt{9} = 2\sqrt{6}(1-3\sqrt{9}) = 2\sqrt{6}(1-3*3) = 2\sqrt{6}(1-9)=2*\sqrt{6}*(-8) = -16\sqrt{6}[/tex]
1.
[tex] \sqrt[3]{8^{4} } [/tex]
2.
[tex]2 \sqrt{6} - 6 \sqrt{54} \\ 2 \sqrt{6} - 6 \sqrt{9 \times 6} \\ 2 \sqrt{6} - 18 \sqrt{6} \\ - 16 \sqrt{6} [/tex]
∠A and \angle B∠B are complementary angles. If m\angle A=(2x-4) ∘ and m\angle B=(5x+17) ∘ , then find the measure of \angle A∠A.
Answer: 18°
Step-by-step explanation:
Complementary angles are the angles that when we add them together, the value will equal 90°.
In this question, we've to add both angles and equate them to 90°. This will be:
(2x - 4) + (5x + 17) = 90
2x - 4 + 5x + 17 = 90
Collect like terms
2x + 5x = 90 + 4 - 17
7x = 77
x = 77/7
x = 11
Angle A will be:
= (2x-4)
= 2(11) - 4
= 22 - 4
= 18°
A pyramid. This shape has faces. This shape has vertices. This shape has edges.
Answer:
5 faces 5 vertices 8 edges
Step-by-step explanation: i just finished it.
Answer:
This shape has
✔ 5
faces.
This shape has
✔ 5
vertices.
This shape has
✔ 8
edges.
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
I did the instruction, and I got it correct.
Math help 60!!!!!!!!!!!!!
Answer:
perimeter is 36 and area I think is 72
Step-by-step explanation:
Find the value of x
a) 57
b) 60
c) 69
d) 63
Answer:
b
Step-by-step explanation:
The tangent- secant angle 55° is equal to half the difference of its intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (170 - x) = 55 ( multiply both sides by 2 to clear the fraction )
170 - x = 110 ( subtract 170 from both sides )
- x = - 60 ( multiply both sides by - 1 )
x = 60 → b
A biologist studying the relationship between tilapia and catfish in a pond finds that the ratio of tilapia to catfish is 6:20. If the pond has 30 catfish, how many tilapia are in the pond?
Answer: 9 tilapia
Step-by-step explanation:
The ratio of 6:20 for tilapia to catfish means that for every six tilapia, there are 20 catfish in the pond.
If there are 30 catfish, use direct proportion to find out the number of tilapia:
6 : 20
x : 30
Cross multiply:
20x = 180
x = 180 / 20
x = 9 tilapia
Tell whether the function table represents a linear or exponential relationship.
Answer: Linear
Step-by-step explanation: When determining whether the function table represents a linear or exponential relationship, we are checking to see if the rate of change is constant or increasing. If we look at the table, when x increases by 1, y increases by 3. This means that on that interval, the average rate of change is 3/1 = 3. When we increase x by 1 again, we see that y increases by 3 again. This means that the rate of change is constant for the function, so it must be linear.
A classroom has a length of 20ft. And a width of 30ft. The flooring is to be replaced by tiles. If each tile has a length of 24 in and a width of 36 in, how many tiles are needed to cover the classroom?
Answer:
100
Step-by-step explanation:
first we need to turn the feet into inches
20x12=240
30x12=360
now to get the area of the floor we need to do 360x240=
86,400
now the area of each tile is 24x36=864
now to find out how many tiles fit on the floor we need to do 86,400 divided by 864 which = 100
Find from first principles, the derivative
3x+5/root x
Answer:
look at the picture
Step-by-step explanation:
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium Large
Hot
5
48
22
8
12
5
Cold
What is the probability that a customer ordered
a hot drink given that he or she ordered a large?
Answer:
Step-by-step explanation:
What is the probability that a customer ordered
a hot drink given that he or she ordered a large?
So we are looking for the percentage of a hot drink and a Large.
Our list:
Small
Medium Large
Hot
5
48
22
8
12
5
Cold
He can tell there is 10% atleast for hot and 0% for a large
The probability that a customer ordered a hot drink given that he or she ordered a large is 22%
What is probability?Probability denotes the possibility of the outcome of any random event.
Given that a table of the first 100 customers' orders at a coffee shop.
We need to find the probability that a customer ordered a hot drink given that he or she ordered a large,
= 22 / 100
= 22%
Hence, the probability that a customer ordered a hot drink given that he or she ordered a large is 22%
Learn more about probability, click;
https://brainly.com/question/30034780
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Function g can be thought of as a scaled version of f(x) = x^2
write the equation for g(x)
Answer:
g(x) = - x^2
Step-by-step explanation:
The negative sign flips the f(x) graph across the x-axis.
Answer:
The first guy is right
Step-by-step explanation:
Which equation is true when k = -15?
a) 4k - 11 = -34
b) -53 + 4k = 7
c) k/3 + 17 = 12
d) k/5 + 2.5 = 0.5
Answer:
c) k/3 + 17 = 12
#JUST A TEXT
A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?
11.7 meters
13.8 meters
15.5 meters
17.5 meters
Answer:
15.5 meters
Step-by-step explanation:
A school has 100 students doing extra lessons 36 students were enrolled in mathematics and English, 4 students were enrolled in both subjects. How many students in an extra lesson that does not do either subject. Explain how you got your answer.
Answer:
60
Step-by-step explanation:
If a school has 100 students doing extra lessons, then;
n(U) = 100
If 36 students were enrolled in mathematics and English. then;
n(MuE) = 36
If 4 students were enrolled in both subjects, then;
n(MnE) = 4
Let n(MuE)' be those that does not do either subject
hence;
n(U ) = n(MuE) + n(MuE)'
100 = 36 + n(MuE)'
n(MuE)' = 100 - 36
n(MuE)' = 64
Since 4 students were enrolled in both, hence (64-4) i.e 60 does not do either subject.
Elizabeth buys to red cans of tomato juice and three blue cans of tomato juice in all how many cups of tomato juice does she by
The measurement of angle C is _____ degrees
Answer:
23°
Step-by-step explanation:
157° = D
D + C = 180°
157 + C = 180
(group like terms)
C = 180 - 157
C= 23°
1/3 of a cup of milk each time she makes a batch of pancakes how many batches can she make if she only has 11/12 of a cup of milk left
Answer:
She can make [tex]\frac{33}{12}[/tex] batches.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
We have that:
For each batch of pancakes, 1/3 cups of milk are needed. Now, she has 11/12 cups of milk, so how many batches can she make?
1 batch - 1/3 cups
x batches - 11/12 cups
Applying cross multiplication:
[tex]\frac{x}{3} = \frac{11}{12}[/tex]
[tex]12x = 33[/tex]
[tex]x = \frac{33}{12}[/tex]
She can make [tex]\frac{33}{12}[/tex] batches.
una camisa me costo $10.500, con lo que gaste el 25% de mi dinero ¿cuanto dinero tenia? debe ir desarrollo
Answer:
25%------10500
100%------x = 100 * 10500 /25 = 42000
Rta: Tenías 42000
A farmer is monitoring the water content of the soil during a dry summer. The water content of the soil is decreasing at a rate of 2.5% per week. If a certain soil sample contains 200 grams of water on July 1st, which equation describes the relationship between y, amount of water in grams, and t, time in weeks after July 1st?
Tickets are arranged from 1 to 25 at a ticket counter. if one of the tickets is drawn at random whag is the probability that the chosen ticket is a multiple of 5. and what is the probability that the chosen ticket is a multiple of 6?
Answer:
The probability of choosing a ticket thats a multiple of 5 is 5/25
The probability of choosing a ticket thats a multiple of 6 is 4/25
Step-by-step explanation:
multiples of 6 are 6, 12, 18, and 24
multiples of 5 are 5, 10, 15, 20, and 25
The probability of choosing a ticket thats a multiple of 5 is 5/25
The probability of choosing a ticket thats a multiple of 6 is 4/25