Answers
Answer:
See below.
Step-by-step explanation:
I can't do all these for you but I'll show you how they are done by taking some samples.
k) 2^x = 32
Take logs of both sides
log 2^x = log 32
x log 2 = log 32
x = log 32 / log 2 Using your calculator to find the log values:
x = 5.
r) 9^(x + 1) = 81
log 9^(x + 1) = log 81
x + 1 log 9 = log 81
x + 1 = log81 / log9 = 2
x + 1 = 2
x = 1.
The above method is a general way to do these using logs but with some of the simpler ones you don't have to use logs at all:
For example :
3^x = 27
We know that 3^3 is 27 so
3^x = 3^3 and so:
x = 3.
Related Questions
Use the distributive property to write an expression that is equivalent to 12 + 4x. Remember to think of your multiples of 4 to solve this problem. If you need help, go to slide 9 on Wednesday's instruction. *
Answers
Answer:
4(3 + x)
Step-by-step explanation:
What is the volume of a sphere with a radius, r = 0.5?
Use 3.14 for and be sure you round your answer to two decimals.
Answers
Answer:
0.52 cubic units
Step-by-step explanation:
[tex]V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {(0.5)}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 0.125 \\ \\ = \frac{1.57}{3} \\ \\ = 0.523333333 \\ \\ = 0.52 \: {units}^{3} \\ [/tex]
Pls Help Evaluate: (2 · 3)3 + (2 + 3)2 + 24
A) 257
B) 242
C) 234
D) 39
Answers
Answer:D
Step-by-step explanation:
a serving of cheese weight about 3.5 ounces how many whole servings of cheese are there in a 40-pound wheel of cheese how much is left over
Answers
Answer:whst
Step-by-step explanation:
-3 = За +6
Solve 2-step equations
Answers
Answer:
a=-3
Step-by-step explanation:
-3a=6+3
-3a=9
a=-3
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
Answers
Answer:
The grapefruit is 20% heavier than the apple
Step-by-step explanation:
Say the orange's weight is o.
Grapefruit = 1.08o
Apple = 0.9o
So to find the percentage the grapefruit is bigger, you have to first do 1.08 - 0.9 = 0.18
0.18 / 0.9 = 0.2
0.2 = 20%
Answer:
i'm pretty sure the grapefruit is 20% more
Sorry if i'm wrong
Have an amazing day :)
If f(1)=6 and f(n)=-5f(n-1)-4 then find the value of f(5)
Answers
Answer:
3126
Step-by-step explanation: f(1)=6 and f(n)=5f(n-1)-4. This means that next number is 5 times previous number minus 4.
f(2)=5f(1)-4 =5x6-4 = 30-4 = 26
f(3)=5f(2)-4 =5x26-4 = 130-4 = 126
f(4)=5f(3)-4 =5x126-4 = 630-4 = 626
f(5)=5f(4)-4 =5x626-4 = 3130-4 = 3126
The fifth term of the sequence is 4166
Given the recursive function expressed as;
f(n)=-5f(n-1)-4
If f(1 ) = 6
f(2) = -5f(1) - 4
f(2) = -5(6) - 4
f(2) = -30 - 4
f(2) = -34
If n = 3
f(3) = -5f(2) - 4
f(3) = -5(-34) - 4
f(3) = 170 - 4
f(3) = 166
If n = 4
f(4) = -5f(3) - 4
f(4) = -5(166) - 4
f(4) = -830 - 4
f(4) = -834
If n = 5
f(5) = -5f(4) - 4
f(5) = -5(-834) - 4
f(5) = 4170 - 4
f(5) = 4166
Hence the fifth term of the sequence is 4166
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A ball-shaped like a sphere has a radius of 2.7 cm. Which measurement is closest to the volume of the ball in cubic cm?
and tell explanation of the answer.
Answers
Answer:
Step-by-step explanation:
V = 4/3 * pi * r^3
V = 4/3 * 22/7 * 2.7^3
V = 82.5 cm^3
The probability that your ticket will be chosen in a drawing is 3/50. There are a total of 250 tickets in the drawing. How many tickets are yours?
Work please!
Answers
Answer:
15
Step-by-step explanation:
Since 50 x 5 is 250
Do the same for the numerator 3.
Answer:
15 :) its right trust me
Step-by-step explanation:
13,26,52, 104...
Arithmetic or geometric
Answers
Answer:
Arithmetic
Step-by-step explanation:
Challenge Six different names were put into a hat. A name is chosen 117 times and the name Grace
is chosen 20 times. What is the experimental probability of the name Grace being chosen? What is
the theoretical probability of the name Grace being chosen? Use pencil and paper. Explain how each
probability would change if the number of names in the hat were different.
Answers
Answer:
20/117; 1/117
Step-by-step explanation:
The total number of outcomes would be different
Helpp!plz due today.not difficult but I hate math so yeah
Answers
number 1 is D
Step-by-step explanation:
dont have time to do the rest
A triangular prism is shown below.
What is the surface area of the triangular prism?
Solution:
Answers
Answer:
its C 184
Step-by-step explanation:
plz help me I need help with this question will give brainliest if answered correctly!!!!
Answers
Answer:
C
Step-by-step explanation:
the first group has more than the 2nd
Answer:
the answer is c.
hope this helps!
A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat
that forms another spherical shell around the coconut milk.
If the diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick, then there is room for
approximately _[blank] in^3 of coconut milk.
What number correctly fills in the blank in the previous sentence?
Hint find the radius of the inside sphere and use that to calculate the volume.
Use 3.14 and pie and round your answer to the nearest hundreth if necessary
Answers
Answer: There is room for
approximately 33.49 in^3 of coconut milk.
Step-by-step explanation:
Hi, we have to calculate the volume of milk inside the coconut:
First, we have to find the diameter of that volume that is equal to the diameter of the entire coconut minus the thickness of the coconut meat:
5-1 = 4 in (diameter)
Now, we simply have to apply the next formula:
Volume of a sphere: 4/3 π radius^3
Since: radius = diameter /2
V = 4/3 π (d/2)^3
Replacing with the values given:
V = 4/3 (3.14) ( 4/2)^3 = 33.49 in3
Feel free to ask for more if needed or if you did not understand something.
What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0
Answers
Answer:
130
Step-by-step explanation:
You want the determinant of the matrix ...
[tex]\left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right][/tex]
One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:
D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)
= 12 -15 +24 +2 +80 +27
D = 130
The determinant of the coefficient matrix is 130.
_____
Many scientific and graphing calculators and web sites can perform this calculation for you.
hellppp me its due today
Answers
Answer:
The answer should be: $69.84
Step-by-step explanation:
Original: $58.20
Tip: 20% or $11.64
Add those to get: $69.84
Collins Middle School has 252 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school?
A.
88
B.
720
C.
217
D.
287
Answers
Answer:620
Step-by-step explanation: lets say the total of school is X so:
X.35÷100=217
when we calculate this the answer will be 620
If I could have some help on this, that would be great.
Answers
Answer:
D
Step-by-step explanation:
Because gx is equalling less that - and gx is becomeing more becaue its adding .....sorry for bad spelling and bad explanation
Answer:
d
Step-by-step explanation:
A pair of shoes originally cost $80. The store is having a sale and discounting the shoes
by 25%. What is the sales price of the shoes?
Answers
Answer:
25% off $80.00 is $60.00
The difference is $20.00
Step-by-step explanation:
Hope this Helps!!!
help plz geometry!!!
Answers
Answer:
89
Step-by-step explanation:
Help looks like i forgot to read a ruler
Answers
Answer: 3 3/4
Step-by-step explanation:
The final consumer of the product pays GST. Consider the following:
A fabric merchant sells fabric at $66 (including the
10% GST) to a dressmaker. The merchant makes $60
on the sale and passes the $6 GST onto the Australian
Tax Office (ATO)
A dressmaker uses the fabric and sells the product
onto a retail store for $143 (this includes the $13
GST). As the dressmaker has already paid $6 in GST
when they bought the fabric they have a GST tax credit
of $6 and they pass on the $7 to the ATO.
The retailer sells the dress for $220, including $20
GST. As the retailer has already paid $13 in GST to the
dressmaker, they are required to forward the extra $7 to the ATO.
The consumer who buys the dress bears the $20 GST included in the price.
16 Copy and complete the following.
Raw material S1 10 (includes the 10% GST)
GST on sale
GST credit $0
Net GST to pay
Production stage $440 (includes the 10% GST)
GST on sale
GST credit =
Net GST to pay =
Distribution stage $572 (includes the 10% GST)
GST on sale =
GST credit =
Net GST to pay
Retail stage $943.80 (includes the 10% GST)
GST on sale =
GST credit =
Net GST to pay =
GST paid by the final consumer =
Answers
Answer:
????????????????????????????????????
Answer:
pay the man g
Step-by-step explanation:
because i got bug brain
Jake packed 3 pairs of shorts for a trip: 1 khaki and 2 denim. He
also packed 3 T-shirts: 2 white and 1 red. In the dark he
randomly selected a pair of shorts and a T-shirt. What is the
probability that he selected a pair of khaki shorts and a white T-
shirt?
1) 2/9
2) 1/3
3) 1/9
4) 1/4
Answers
The probability that he selected a pair of khaki shorts and a white T-shirt is 2/9. The correct option is A.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that Jake packed 3 pairs of shorts for a trip: 1 khaki and 2 denim. He also packed 3 T-shirts: 2 white and 1 red. In the dark, he randomly selected a pair of shorts and a T-shirt.
The probability that he selected a pair of khaki shorts and a white T-shirt is calculated as,
P = 1 / 3 x 2 / 3
P = 2 / 9
Therefore, the probability that he selected a pair of khaki shorts and a white T-shirt is 2/9. The correct option is A.
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PLZ, I NEED URGENT HELP WITH PROBLEMS 1-5! I DONT UNDERSTAND
Answers
Answer:
1 is 3, 2 is 9, 3 is 6, 4 is (guessing for 4) 6 or 3 depending on what it's asking look at explanation. I hope this helps!!
Step-by-step explanation:
1: shortest name 3 is the smallest number
2: longest name is 9 letters nothing beats it
3: the graph shows those little like dot x things repersent the people with that length of name so 6 as the most therefore answer is 6
4: im guessing they mean which one is the middle of the graph so if it's middle depending on length of name it's 6, but if it's asking depending on number of people who have the name it's 3.
The first five terms of a pattern are given below.
12,20,28,36,44 .....
Which expressions can be used to determine the Nth term of the pattern?
A. 10-7n
B. 20-8n
C. 5+7n
D. 4+8n
Answers
4+8(1)
4+8=12
4+8(2)
4+16=20
4+8(3)
4+24=28
4+8(4)
4+32=36
4+8(5)
4+40=44
What is the decimal equivalent to 34 % ?
Answers
Answer:
.34
Step-by-step explanation:
34% = 34/100 = .34
All percents are out of 100
Determine the measurements of all unknown angles and side lengths of triangle PQR round side lengths to the nearest hundredth
Answers
Answer:
Step-by-step explanation:
m∠P + m∠Q + m∠R = 180 degree
-> m∠R = 180 - ∠P - ∠Q = 180 - 99 - 31 = 50
[tex]\frac{PQ}{sin(R)} =\frac{PR}{sin(Q)} =\frac{QR}{sin(P)}[/tex]
PQ = [tex]\frac{QR*sin(R)}{sin(P)} = \frac{11*sin(50)}{sin(99)}[/tex]=8.53
PR = [tex]\frac{QR*sin(Q)}{sin(P)} = \frac{11*sin(31)}{sin(99)}[/tex]=5.74
Help plzz!! Will mark you as brainliest!!! The entrance to the Louvre Museum in Paris is a square-based pyramid. The volume of the pyramid is 9,039 with a height of 21.6 meters. What is the length of each side of the square base, to the nearest meter?
A. 29
B. 35
C. 627
D. 1,253
Answers
Answer: B
Step-by-step explanation: I worked it out but have doubts
The length of each side of the square base is 35 meters, option B is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of the pyramid is 9,039
The height is of 21.6 meters.
We need to find the length of each side of the square base.
V=1/3b²h
9039=1/3×b²×21.6
9039=7.2b²
Divide both sides by 7.2
b²=1255.4
Take square root on both sides
b=35.4
b=35
Hence, the length of each side of the square base is 35 meters, option B is correct.
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Calculate a²² for the product of the following matrices.
1 2 6 1 5
4 3 7 3 4
Answers:
9
13
16
Answers
Answer:
13
Step-by-step explanation:
i may be wrong im not 100% sure
The answer is 13.
What's made of 2 matrices?
The manufactured from two matrices may be computed by multiplying factors of the first row of the first matrix with the primary column of the second matrix and then, adding all of them made from elements. continue this system till each row of the primary matrix is accelerated with every column of the second matrix.
What are the means of the product matrix?Big manufacturers and agencies with lots of products can locate it challenging to control their product line for optimum marketplace insurance. A product matrix is a device that can assist companies to visualize their product line and even discover possibilities to expand new products.
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