Answer:
x = -3/2
Step-by-step explanation:
note: 1/125 can be written as 5 exponent -3 thus, 5^-3
Expressing it in this form, we can rewrite the above equation as
5^2x = 5^-3
As part of the laws of indices and logarithms, when the bases are the same and they are equating, You equate only the exponents
therefore, we have;
2x = -3
divide through by 2
x = -3/2
1: The dimensions of a solid, rectangular block are in the ratio of 5 : 4:3. If the volume is equal to the volume of a cube of side 28 cm, find the length of the longest side of the cuboid, giving your answer correct to 1 decimal place.
Answer:
Given, the dimension of a rectangular block in from of cuboid is in the ratio 5:4:3. The volume of the block is equal to the volume of cube of length 28 cm. Let the length , breadth and height of the cuboid be 5x , 4x and 3x respectively. Therefore the length of the longest side of the cuboid is = (7.2×5)cm=36 cm.
Step-by-step explanation:
1
a
Purple
9) Jada is allergic to cats so she has decided to
get a couple of pet fish. There are 10 fantail
goldfish and 9 calico goldfish in a tank at the
store. Jada tells the pet store employee that
she will take the first two fish he catches. The
employee dips in a net and catches one fish,
puts it in a bag of water for Jada, and then
catches a second fish in the same manner.
a
What is the probability Jada ends up with two
Answer:
hello the answer is B
Step-by-step explanation:
because 2+2+2+2+22+2+2+2+2++2+2+2+2++2++2+2+2+2++2+2+2+2++2+2+2+2+2+2+2+2+2+2++2=I don't know
Find the measures of the interior angles.
Write a system of linear inequalities represented by the graph.
x>2 and x<4
since both are dashed that means they are both not including the x-values, so they are no equal signs with the greater or less than signs.
the shaded area is more than 2 but less than 4, not including 2 and 4 because they are dashed lines.
OLZ HELP ILL MARK AS BRAINLEST
Which sentence provides supporting evidence for the inference "Sam is a 2 points writer with natural talent"? * Sam published his first book, a collection of poetry, at the age of 16. Sam hoped that one day he would live in Paris, a city brimming with inspiration. O Sam was thoroughly interested in his English teacher's lecture that day. Sam loved to read the letters his grandfather wrote to his grandmother when they were young
Answer:
Step-by-step explanation:
Sam published his first book, a collection of poetry, at the age of 16.
he table shows the distribution, by age, of a random sample of 3720 moviegoers ages 12-74. If one
moviegoer is randomly selected from this population, find the probability, expressed as a simplified
action, that the moviegoer is not in the 65-74 age range,
Age Distribution of Moviegoers
Ages
Number
1224
1220
25-44
940
45-64
830
65-74
730
The probability is
(Type an integer or a simplified fraction)
Time Remaining:01 23:13
Nex
Module 8 Homework
Using it's concept, it is found that there is a 85% probability that the moviegoer is not in the 65-74 age range.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the total number of moviegoers is given by:
T = 1224 + 1220 + 940 + 830 + 730 = 4944.
Out of those, the number not in the 65-74 age range is:
D = 4944 - 730 = 4214.
Hence, the probability is given by:
p = 4214/4944 = 0.85 = 85%.
There is a 85% probability that the moviegoer is not in the 65-74 age range.
More can be learned about probabilities at https://brainly.com/question/14398287
Solve for f(-3) please
Answer:
55
Step-by-step explanation:
[tex]f(x) = 6{x}^{2} - x - 2[/tex]
[tex]f( - 3) = 6 { (- 3)}^{2} - ( - 3) - 2[/tex]
[tex]f( - 3) = 6(9) + 3 - 2[/tex]
[tex]f( - 3) = 54 + 1 = 55[/tex]
[tex]f( - 3) = 55[/tex]
I hope it helped you
Is 5 or 9 farther from 0?
9 is farther from 9 than 5
5 is farther from 0 than 9.
Answer:
My brains wires got crossed just reading this.
（；´д｀）ゞ
So give me a second while I try to wire them back.
...
...
Ok so,
Here's a little scale
0 1 2 3 4 5 6 7 8 9
^ ^ ^
Here is 0 Here is 5 And here is 9
So,
You say 9 is farther from 9 than 5. How if 9 is at 9? (っ °Д °;)っ
Can't help you there m an.
¯\_(ツ)_/¯
Then you say 5 is farther from 0 than 9.
Its actually closer to 0 than 9 is from 0. Like literally count backward and you can see you have to count less from 5 to 0 than you would for 9 to 0.
Im not sure dude.
Im a little confused now.
What were you even asking for in the first place?
｢(ﾟﾍﾟ)
Find the missing side of each triangle. Leave your answers in simplest radical form.
5)
14
х
11
V226
х
7)
6
χ
7
x
13
5V2
P
Oh I
Answer:
5) [tex]x=\sqrt{317}[/tex]
6) [tex]x = \sqrt{186}[/tex]
Step-by-step explanation:
You have to know Pythogeroem theorem, which is:
[tex]a^2 +b^2 = c^2[/tex], where a, b are the sides of the triangle and c is the hypothesis (the side in front of the 90° angle)
5)
Plug in the numbers into the equation, make sure c is the hypothesis (the side in front of the 90° angle). Hypothesis is x in this example.
[tex]14^2+11^2 = x^2\\196 + 121 = x^2\\\sqrt{196 + 121} = x\\\sqrt{317} = x[/tex]
6) Hypothesis is [tex]\sqrt{226}[/tex]
[tex]7^2 + x^2 = \sqrt{226}^2\\7^2 + x^2 = 226\\49 + x^2 = 226\\x^2 = 186\\x= \sqrt{186}\\[/tex]
Same steps for 7) and 8)
A triangle has sides with lengths of 12 meters, 16 meters, and 20 meters. Is it a right
triangle?
yes
no
Emma and Ellie are twins and their birth weight can be compared using a scale of 0.75 pounds:0.9 pounds. If Emma weighed 6.4 pounds at birth, how much did Ellie weigh?
By comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.
What is Ratio?Ratio simply compares values, it shows how much of one thing is related or compared to another thing.
Given the data in the question;
Scale of Emma SEmma = 0.75poundsScale of Emma SEllie = 0.9poundsWeight of Emma WEmma = 6.4poundsWeight of Ellie WEllie = XTo determine the weight of Ellie, we simply say;
0.75pounds : 0.9pounds = 6.4pounds : X
0.75pounds / 0.9pounds = 6.4pounds / X
Cross multiply
0.75pounds × X = 0.9pounds × 6.4pounds
0.75pounds × X = 5.76pounds²
X = 5.76pounds² / 0.75pounds
X = 7.68pounds
X = 7.7pounds
Therefore, by comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.
Learn more about ratio here: https://brainly.com/question/13419413
Kevin started his science test at 2:43p.m. and finished the test 75 minutes later. Kevin has football practice at 4:15p.m. How much time did kevin have between the end of the end of the test and the beginning of football practice?
17min
hope it helps...!!
Answer:
17 minutes
Step-by-step explanation:
Between 2:43 pm and 3:00 pm is 17 minutes. This means that by 3:00 pm, Kevin will have spent 58 minutes (75-17). By 3:58 pm, Kevin will have been done with this test. From 3:58 pm to 4:00 pm is 2 minutes in addition to the 15 minutes (4:15 pm) is 17 between the end of the test and the beginning of football practice.
Pls help me with those 2 pls help get this corrected
Answer:
this question have the 552.792 and centimeters of square
Is 10/8 x 20 greater than or less than 20? Please explain!
please help with this i’ll give brainliest
Answer:
Answer to part A:
1 notebook = $2.5
1 pen = $1.5
Answer to part B:
= 3 pens.
Step-by-step explanation:
Here's the simultaneous equation.4n + 3p = $14.50
5n + 6p = $21.50
Multiply the numerator by the denominators first number and vice-versa.5(4n + 3p) = $14.50
4(5n + 6p) =$ 21.50
Here's what you should get.20n + 15p = $72.50
20n + 24p = $86
Eliminate the like numbers by subtracting the denominator from the numerator.20n - 20n = 0
15p - 24p = -9p
$72.50 - $86 = -$13.5
Divide the result after the equal sign by the result before the equal sign.-$13.5 ÷ -9 = $1.5p
Since we've found the cost of one pen as $1.5, lets substitute any of the first equations to get the cost of one notebook.4n + 3p = $14.50
4n + 3($1.5) = $14.50
4n + $4.5 = $14.50
4n = $14.50 - $4.5
4n = $10.00
n = $2.5
Here's the answer to part A:1 notebook = $2.5
1 pen = $1.5
Part B::::::::::::::::::1 ($1.5) = 3($2.5)
$1.5 + $7.5 = $9.0
$27 ÷ 9 = $3
Therefore, she'll buy each supply thrice:3 ( $1.5 + $7.5 ) = 3 ( $9.0 )
( $4.5 + $22.5 ) = ( $27 )
$4.5 + $22.5 = $27
Answer to part B:= 3 pens.
If a single 4-sided die is tossed once, find the probability of rolling a number greater than 3.
Answer:
i'd say an estimate of 1/4
im just guessing im only good at middle school math
Step-by-step explanation:
Frank needs to pay R60 000,00 towards his son’s university fees in three years’ time. If he has R46 150,30 now, at what interest rate per year compounded monthly, must he invest his money? [1] 10,00% per year compounded monthly [2] 8,78% per year compounded monthly [3] 2,50% per year compounded monthly [4] 13,16% per year compounded monthly
The interest rate Mr Frank must invest his money is at 10% per year compounded monthly
That is option 1.
Calculation of interest ratesThe amount for Mr Frank's son school fees = R60 000.00
Cash at hand( principal amount) = R46 150.30
Therefore the simple interest needed to make up R60 000.00= R60 000.00 - R46 150.30= 14,849.70
Time of investment = 3 years
Therefore the rate = simple interest × 100/ principal×time
Rate (R) = 14,849.70 × 100/ 46 150.30× 3
= 1,484,970/135,450.9
= 10.0%
Therefore, the interest rate Mr Frank must invest his money is at 10% per year compounded monthly.
Learn more about simple interest here:
https://brainly.com/question/25793394
A movie theater designs a bag of popcorn to hold 96 cubic inches of popcorn. Each bag is shaped as a rectangular prism. The base of the bag is 3 inches by 4 inches. What is the height of the bag?
Kelsi spent $6.75 every Saturday for breakfast what is the total amount of money keksie spends on breakfast for 14 Saturdays
Multiplication is the outcome of the product of two numbers. The total amount of money Kelsi spends on breakfast for 14 Saturdays is $94.5.
What is multiplication?A product is the outcome of multiplication or an expression that indicates the elements that will be multiplied.
Given that Kelsi spent $6.75 every Saturday for breakfast. Therefore, the total amount that will be spent on 14 Saturdays breakfast will be,
[tex]\rm Total\ Amount = \$6.75 \times 14 = \$94.5[/tex]
Hence, the total amount of money Kelsi spends on breakfast for 14 Saturdays is $94.5.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ1
Answer:
$94.50
Step-by-step explanation:
i did the test and aced it
Luis and Grandma talked for a total of
2212 minutes last week. How many minutes
did they talk on Wednesday?
A rectangle measured 3/4 units long and 1/3 unit wide. find the area.
pls help!
An empty container in the shape of a cube 6 inches deep is filled with plastic cubes. How many plastic cubes measuring 1 inch across each face will it take to fill the container? Enter your answer in the box.
Answer:
The Answer is 108, simply you find the volume of the cube 6 x 6 x 6 = 216. Since there are 108 "1-inch" cubes that fill the big cube half way you divide the volume of the big cube 216 by 2, so 216/2 which 108 will be your answer because, if you have a big cubed box that measures 6 inches in width, height, and length and you have 216 "1-inch" cubes, then you fill the box halfway, you will be left over with 108 "1-inch" cubes. You can also think about this with a cup of water, if you pour 3 cups of water into a glass and you drink half of that glass you will have half a cup of water or 1.5 cups of water left, if you drink 1/3 of the glass you will have 2 cups left. Hope I helped and Brainliest would be appreciated
Step-by-step explanation:
:)
Answer:
108
Step-by-step explanation:
hopefully it helps :)
select the place where the digit 2 sits in this number 428,031 what is the answer
Answer:
The ten-thousands place. :)
Step-by-step explanation:
Answer:
Ten thousands place.
Reading box plots
Find the interquartile range (IQR) of the data in the box plot below.
math problems
Number of math problems
assigned by Ms. O'Brien
Look at the screenshot.
if f(x)=2x^2+3x-6 what is the value of f(2)
Answer:
8
Step-by-step explanation:
put in '2' where 'x' is
2 (2^2) + 3 ( 2) - 6 = 8
5x3+8+3
ANSWER..?bra-
Answer:
26
Step-by-step explanation:
(5x3) + (8+3)
15 + 11
26
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
→ Answer :-[tex]\sf{= 5x^3 \: + \: 19}[/tex]
→ Explanation :-[tex]\sf{5x^3 \: + \: 8 \: + \: 8 \: + 3}[/tex]
[tex]\sf{Add \: the \: numbers: \: 8 \: + \: 8 \: + \: 3 = 19}[/tex]
[tex]\sf{= 5x^3 \: + \: 19}[/tex]
Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
The greatest integer function, shown below, is defined so that it produces the greatest integer___
or equal to x.
fx) = [[x]]
Answer:
The answer is x(4)
Step-by-step explanation:
you multiply
The difference between 32.6 and a number is 10.2
Answer:
22.4
Step-by-step explanation:
Let that number be " x ".
The difference between 32.6 and a number is 10.2
32.6 - x = 10.2
Add x on both sides,
32.6 - x + x = 10.2 + x
32.6 = 10.2 + x
10.2 + x = 32.6
Substract x on both sides,
10.2 - 10.2 + x = 32.6 - 10.2
x = 22.4
Therefore,
The number is 22.4
Answer:
22.4
Step-by-step explanation:
First we can make an equation to find the unknown number:
Difference mean subtraction:
32.6 - x = 10.2
To do this we can subtract 32.6 from both sides to isolate -x or to make -x the subject:
32.6-x-32.6 = 10.2 - 32.6
-x = -22.4
Now we can multiply both sides by -1 to make x positive:
-(-x) = -(-22.4)
x= 22.4
what is 3/5 - 1/2 = in simplest form
the fraction form of your question is 1/10
the decimal form is 0.1
hope i helped mwah
6) Out of 15 students only 10 passed the geography scam. Write the fraction of students
Who failed in the geography cam.
Answer:
5/15
Step-by-step explanation:
15 students and 10 passed which means 5 failed
Answer:
The fraction is 1/3 or one-third.
Step-by-step explanation:
Have you smiled today? its very important:)