Answer:
10log10(3)abc
The equivalent expression for the log function log3(a^5bc^2) is 5log3a+log3b−2log3c
Logarithmic functionsLogarithmic functions are expressed as the inverse of exponential functions.
Given the logarithmic expression
log3(a^5bc^2)
Since product are written in form of addition, hence;
log3(a^5bc^2) = log3(a^5) + log3(b) + log3(c^2)
The power will be carried to the back of the log function;
log3(a^5bc^2) = 5log3(a) + log3(b) + 2log3(c)
This gives the equivalent expression for the log function log3(a^5bc^2)
Learn more on logarithmic expression here: https://brainly.com/question/25710806
The age distribution of a sample of part-time employees at Lloyd's Fast Food Emporium is: Ages Number 18 up to 23 6 23 up to 28 13 28 up to 33 33 33 up to 38 9 38 up to 43 4 What type of chart should be drawn to present this data
Answer:
Option B
Step-by-step explanation:
Options for the given question -
A. A histogram
B. A cumulative frequency table
C. A pie chart
D. A frequency polygon
Solution
Option B is correct
The data represents the frequency value for a given interval and hence it represents the cumulative form of frequency distribution.
PLS HELP ASAP! FIND THE VOLUME OF THE GIVEN FIGURE.
Thank you
Answer:
120
Step-by-step explanation:
all you have to do is multiply the length, width, and height.
5x8=40
40x3=120
Hope this help!!!
Have a nice day!!!
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
Which expression is equivalent to (1/√y)^-1/5?
A: 1/10√y
B: 1/√y^5
C: 10√y
D: 5√y^2
Answer:
C
Step-by-step explanation:
(1/√y)^-1/5
= (1/sqrt(y))^(-1/5)
=sqrt(y)^(1/5)
=y^(1/10)
= (tenth root of y)
=C
:)
Which of the following is not equal to a ratio of 5 to 2?
A. 25: 10 C.35: 15
B. 35: 14 D. 40:16
Answer:
C 35:15
Step-by-step explanation:
because 35:15 =5:3 so it is not equal to a ratio of 5 is to 2
Answer:
C
Step-by-step explanation:
If you simplify all the ratios, then you get the following:
A. 25/5 : 10/5 = 5:2
B. 35/7 : 14/7 = 5:2
C. 35/5 : 15/5 = 7:3
D. 40/8 : 16/8 = 5:2
can someone help me please?! I'll give brainlest for correct answer
1.)
A) BME
B) MER
C) Mm
D) xBy
E) Straight
F) REB
G) MEB and BER
H) xBy
Is the ordered pair (5, 24) a solution of y = 4x + 4? *
Answer:
yes
Step-by-step explanation:
y = 4x + 4
24 = 4(5) + 4
24 = 20 + 4
24 = 24
What angle is formed by the arms of a clock when the time is 6:50 a.m
Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic
Answer:
it's a linear
since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject
8x²-24= y
As shown in the diagram below, AABC - A DEF, AB=14, BC=4, DE=7, and EF = X
D
14
B
4
С
E
X
F
What is the length of EF?
А
28
B
14
2
4
Answer:
EF=4
Step-by-step explanation:
vì diện tích bằng nhau và bằng 28 áp dụng công thức tính diện tích
Pls help school almost over I need to pass
Answer:
B.
Step-by-step explanation:
6.4 times 10 to the 3rd power (6.4 times 10x10x10) is equal to 6400, therefor, B is the correct answer.
To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one, two, or three steps. The second procedure requires either one or two steps. Answer the first and second questions using this information.List the experimental outcomes associated with performing the blood analysis. (Hint: The first procedure has three possible outcomes (steps needed), the second procedure has two possible outcomes (steps needed)).
Answer:
____ 1 _____ 2 ____ 3
1 __ 1, 1 ____ 1, 2 __ 1, 3
2 __2, 1 ____2, 2 __ 2, 3
Step-by-step explanation:
Given that :
Steps required for procedure One : Either 1, 2, or 3
Steps required for procedure two : Either 1 or 2
The first procedure has 3 possible steps
The second procedure has 2 possible steps
. The experimental outcome associated with performing the blood analysis is displayed in the table below :
____ 1 _____ 2 ____ 3
1 __ 1, 1 ____ 1, 2 __ 1, 3
2 __2, 1 ____2, 2 __ 2, 3
It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is −4h.
Explain what the inequality −4h ≤-14 represents.
9514 1404 393
Explanation:
-4h ≤ -14
in this context is a relation that would tell how many hours it would take for the temperature to be at or below -14 degrees.
A flower store has an inventory of 25 roses, 15 lilies, 30 tulips, 20 gladiola, and 10 daisies. A customer picks one of the flowers at random.
What is the probability that the flower is not a rose?
Answer: 75/100
Step-by-step explanation:
the total number of flowers= 25+15+30+20+10
= 100
so probability that the flower is not a rose is= 75/100
Note: i got 75 by subtracting 100 by 25
solve the inequality
2(4 x + 1)< 3 (2 x - 3)
Answer:
[tex]2 (4x + 1) < 3(2x - 3) \\8x + 2 < 6x -9 \\8x - 6x < -9 - 2\\2x < -11\\\\x< - \frac{11}{2}[/tex]
Answer:
x> - 11/2
Step-by-step explanation:
See image below:)
Which of the following statements represents a correct relationship?
300 < 30
547 > 574
20,007 < 20,070
6,050 = 6,060
Find the value of the polynomial when x=1 and y=-2
Answer:
the answer is : ................
5
What is an equation that represents the line that passes through the points (1, 1) and (-2, 7)?
A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 will be selected?
a. X1 + X2 + X3 + X4 = 1
b. X1 + X2 + X3 + X4 = 1
c. X1 + X2 + X3 + X4= 1
d. X1 + X2 + X3+ X4= 0
Given:
A company wants to select 1 project from a set of 4 possible projects.
Consider the options are:
a. [tex]X_1+X_2+X_3+X_4=1[/tex]
b. [tex]X_1+X_2+X_3+X_4\leq 1[/tex]
c. [tex]X_1+X_2+X_3+X_4\geq 1[/tex]
d. [tex]X_1+X_2+X_3+X_4\geq 0[/tex]
To find:
The constraints that ensures only 1 will be selected.
Solution:
It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.
[tex]X_1+X_2+X_3+X_4=1[/tex]
Therefore, the correct option is (a).
expand 3e(e+4)
Hhhhhhh
Answer:
[tex]3e^{2} + 12e[/tex]
Step-by-step explanation:
[tex]3ee+3e4[/tex]
[tex]3ee+3 * 4e[/tex]
[tex]3e^{2} + 12e\\[/tex]
[tex]3 \: {e}^{2} + 12 \: e[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 \: e \: ( \: e + 4 \: ) \\ \\ = 3 \: e \times \: e + 3 \: e \times 4 \\ \\ = 3 \: {e}^{2} + 12 \: e[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
Which expression is equivalent to x(97-12)?
– 12
Answer:
85x−12
Step-by-step explanation:
A collection of 39 coins consists of dimes and nickels. The total value is $2.75. How many dimes and how many nickels are there?
Answer:
23 nickels and 16 dimes
Step-by-step explanation:
16 dimes = 1.60
23 nickels = 1.15
1.60 + 1.15 = 2.75
Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors. Which statement about Susan's distribution of sample proportions is true?
a. The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.
b. The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
c. The sample proportion of drawing an orange candy is not a binomial distribution.
d. The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.
Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times
Step-by-step explanation:
The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.
The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.
hence, option B is correct
Work out the equation of the line which passes through the point (-1,2)
and is parallel to the line y = x + 4.
Answer:
m = 1 (since the gradient of parallel lines is the same)
Then substitute point (-1;2)
C = 3
y = x+3
Could I get help with this? Thank you
Answer:
Equation: [tex]y=-\frac{5}{4} x[/tex]
Slope: [tex]-\frac{5}{4}[/tex]
Point: [tex](-4,5)[/tex]
Step-by-step explanation:
To find the slope, you need two points [tex](-4,5)[/tex] and [tex](0,0)[/tex].
Then use the Slope Formula to Identify the slope.
M = Slope
M = [tex]\frac{y2-y1}{x2-x1}[/tex] Second y being subtracted by the first y / the second x being subtracted by the first x.
M = [tex]\frac{0-5}{0--4}[/tex] Plot the x and y values (In order) Then subtract
M = [tex]\frac{-5}{4}[/tex] Move the negative sign
M = [tex]-\frac{5}{4}[/tex]
Slope = [tex]-\frac{5}{4}[/tex]
Then the Equation has to be written in Slope-Intercept Form (y=mx+b)
y = [tex]-\frac{5}{4} x[/tex]
Find the
surface area of the
prism.
Answer:
D. 972 ft^2
Step-by-step explanation:
SA = 2B + PH
where SA = total surface area of the prism,
B = area of a base
P = perimeter of the base
H = height of the prism
SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)
SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)
SA = 972 ft^2
In January 2013, a country's first-class mail rates increased to 52 cents for the first ounce, and 23 cents for each additional ounce. If Sabrina spent
$1742 for a total of 48 stamps of these two denominations, how many stamps of each denomination did she buy?
She bought
of the 52 cent stamps and
of the 23 cent stamps.
Answer:
She bought
22 of the 52 cent stamps and
26 of the 23 cent stamps.
Step-by-step explanation:
Given :
Total stamp increase = 48
Let number of 52 cent stamp = x
Number of 23 cent stamp = 48 - x
The cost equation :
0.52*x + 0.23*(48-x) = 17.42
0.52x + 11.04 - 0.23x = 17.42
0.52x - 0.23x = 17.42 - 11.04
0.29x = 6.38
x = 6.38 / 0.29
x = 22
Hence,
She bought 22 ; 52-cent stamps
And (48 - 22) = 26, 23-cent stamps
A six-character license plate can be any three letters of the alphabet, followed by any three numerical digits. How many different license plates are possible?
Answer:
17,576,000 different license plates are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
For each letter, there are 26 possible outcomes.
For each digit, 10 possible outcomes.
So
L - L - L - D - D - D
Number of possible outcomes:
26 - 26 - 26 - 10 - 10 - 10
Each character of the license plate is independent, so, by the fundamental counting principle:
26*26*26*10*10*10 = 17,576,000
17,576,000 different license plates are possible.
Im Struggling i could use some help pls!!
Answer:
option4 : 0.4
Step-by-step explanation:
[tex]Sin N = \frac{Opposite}{hypotenuse}[/tex]
[tex]sin 7 = \frac{x}{3.4}\\\\3.4 \times sin 7 = x \\\\3.4 \times 0.122 = x \\x = 0.41[/tex]
HPC Education
Year 5* 6 Problem Solving Questions
10. Megan and Olivia had some money. They made a donation of $100 together. Megan donated of
her money. After donating $24, Olivia found that she had $32 more than Megan. What was the
sum of money both of them had at first
19. What was done to overcome the problem of the MSL landing?
O More airbags were used
O A pulley system was created
O A parachute was used
0 A tether and roper were used
HELP PLS ASAP
