Answer:
Part 1: -10, -5, 0, 8 Part 2: -3/2, -15%, 0.80, 143%, 2 1/4
Step-by-step explanation:
Part 1: The lower the number, the lower the temperature
Part 2: Convert the fractions into decimals
2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)
Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x)
The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex] where x and b positive real numbers is - 5 · b⁻¹ · log₃ b.
How to analyze and solve logarithmic expressionsLogarithms are trascendental functions, that is, functions that cannot be described algebraically.
In this question we must apply logarithm and algebraic properties to determine firstly the value of [tex]x[/tex] and later to find value of the latter logarithm. Now we proceed to find the value of [tex]x[/tex]:
[tex]\log_{b} x^{2} = 10[/tex]
[tex]2\cdot \log_{b} x = 10[/tex]
[tex]\log_{b} x = 5[/tex]
x = b⁵
Then, the value of the latter logarithm is:
log₃ (x⁻¹)[tex]^{1/b}[/tex]
- b⁻¹ · log₃ x
- b⁻¹ · log₃ b⁵
- 5 · b⁻¹ · log₃ b
The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex] where x and b positive real numbers is - 5 · b⁻¹ · log₃ b. [tex]\blacksquare[/tex]
RemarkThe statement is poorly formated, correct form is described below:
Let [tex]x[/tex] and [tex]b[/tex] be positive real numbers so that [tex]\log_{b} x^{2} = 10[/tex]. Find [tex]\log_{3} \sqrt [b]{\frac{1}{x} }[/tex].
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How do you solve this?
2sinXcosX=sinX
Find the sum of a finite arithmetic sequence from n=1 to n=5 using the expression -3(4)^n-1
Answer:
Step-by-step explanation:
Arithmetic sequaence:
[tex]\sf a_n = -3(4)^n - 1\\\\a_1=-3*4^1 -1\\\\ = -3*4 - 1\\\\ = -12 - 1\\\\a_1=-13[/tex]
[tex]a_2 = -3*4^2-1\\[/tex]
= -3*16 -1
= -48 - 1
= -49
difference = second term - first term
= -49 -(-13)
= -49 + 13
d = -36
[tex]\boxed{S_n=\dfrac{n}{2}[2a + (n-1)d]}[/tex]
[tex]\sf S_5=\dfrac{5}{2}*[2*(-13} + 4*(-36)]\\\\ =\dfrac{5}{2}[-26-144]\\\\=\dfrac{5}{2}*(-270)[/tex]
= 5*(-135)
= -675
Larger is 32 ounces and sells for 2.99 and smaller is 18 ounce and sells for 1.59
What is the better buy
Divide price by size of each and compare the u it price:
2.99/32 = 0.0934 per ounce
1.59/18 = 0.0883 per ounce
The 18 ounce do $1.59 has a lower cost per ounce so is the better buy
Each of students reported the number of movies they saw in the past year. Here is what they reported.
11,6 ,9 ,16 ,12 ,18 ,14
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
18+16+14+12+11+9+6=8686÷7=12.2812.28=13Answer:
12.3
Step-by-step explanation:
11+6 +9 +16 +12 +18 +14 =86
86/7 = 12.28571
Tenths is the place value of the digit that appears after the decimal. It represents the 1/10 position of the digit
(12.3) rounded to the nearest tenth.
Which of the binomials below is a factor of this trinomial?
x^2 + 8x + 16
A. x + 4
B. x - 4
C. x + 8
D. x - 8
The answer is A.
Pick A.
Good luck
A store sells a workout outfit that consists of a jacket, a t-shirt, and a pair of shorts. The store purchases the jacket for $34, the t-shirt for $9, and the shorts for $12. The percent of markup is 28%. Find the selling price of the outfit.
PS: include show work please I have to submit this in like 3 hours thankyou
Answer:
The Outfit costs $70.4.
Step-by-step explanation:
Add the selling price together
34 + 9 + 12 = 55
Multiply by the markup (Profit)
100% = 1
28% = 0.28
55 x 1.28 = 70.4
Need some help 54 pts
Step-by-step explanation:
as shown in the picture.
you can comment if there is a problem
i need help with this problem
Answer:
Disagree
Step-by-step explanation:
because it looks like less than 45
Use the distributive property to write the following expressions in expanded form. 4(x +y)
Answer:
4x+4y
Step-by-step explanation:
Answer:
4x + 4y
Step-by-step explanation:
To do this you need to know that the number (or variable) on the outside of the parenthesis must be multiplied to all of the numbers/variables on the inside of the parenthesis.
So here, you want to multiply x by 4:
4x
Then multiply y by 4:
4y
And because the expression is adding the x and y, it comes out as:
4x + 4y
112 is 80% of what number?
A. 140
B. 896
C. 1,400
D. 8,960
Answer:
A
Step-by-step explanation:
112/0.8 = 140
Answer:
A
Step-by-step explanation:
I am not sure about the answer
a bag contains coins of rupees 2 Rupees 1 and 50 paise, in ratio of 1 is to 2 is to 4. if the total amount is rupees 72 find how many 50 paise coins are there?
Answer:
Final answer -
[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]
hope helpful :D
The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins
How to solve currency conversions?Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;
Let number of 2 rupees coins in the bag = 1x
Let number of 1 rupees coins in the bag = 2x
Let number of 50 paise coins in the bag = 4x
Total amount of money = 72 rupees. Thus;
(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72
2x + 2x + 2x = 72
6x = 72
x = 72/6
x = 12
Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins
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Which expression is equivalent to the following complex fraction?
Consider the fraction first ;
[tex]{:\implies \quad \sf \dfrac{\dfrac{3}{(x-1)}-4}{2-\dfrac{2}{(x-1)}}}[/tex]
[tex]{:\implies \quad \sf \dfrac{\dfrac{3-4(x-1)}{\cancel{(x-1)}}}{\dfrac{2(x-1)-2}{\cancel{(x-1)}}}}[/tex]
[tex]{:\implies \quad \sf \dfrac{3-4x+7}{2(x-1-1)}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\dfrac{-4x+7}{2(x-2)}}}}[/tex]
Hence, Option B) is required answer
Please help i wan't a good grade but I can't figure this out.
Answer:
angle DCE
Angle DEC
Angle ABF
Step-by-step explanation:
you had the wrong order
A data set is normally distributed with a mean of 8.1 and a standard deviation of 3.8.
What percentage of the data is above 8.6?
Enter your answer as a number to the nearest whole percentage, like this: 42%
Answer:
45%
Step-by-step explanation:
Your graphing calculator, statistics app, or spreadsheet can tell you that 45% of the normally-distributed data is above 8.6 when the mean is 8.1 and the standard deviation is 3.8.
What’s the difference between 4, 7/9 and 2 1/2
[tex]\huge \mathbb \orange{ANSWER} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \mathsf \purple{4 \frac{7}{9} - 2 \frac{1}{2} }[/tex]
[tex] \blue\implies \mathsf \pink{ 2(\frac{43}{9}) - (\frac{5}{2} )9 }[/tex]
[tex] \blue \implies \mathsf \purple{ \frac{86}{18} - \frac{45}{18} }[/tex]
[tex] \blue \implies \mathsf \pink{ \frac{41}{18} = 2 \frac{5}{18} }[/tex]
Does anyone know the answers? Need help!!
Answer:
nice handwriting
Step-by-step explanation:
A very slow man walks
20 cm.in 0.5 left, what his
velocity in meter per second?
A car travels 80 miles on 3 gallons of gas. At the same rate (in miles per gallon) l, how many miles will the car be expected to travel on 5 gallons of gas?
A. 48
B. 130
C. 133 1/5
D. 160
Answer:
C
Step-by-step explanation:
NEED HELP ASAP The salaries of Nathan and Trisha are in the ratio of 5:9. Trisha's salary is £16800 more than Nathan's. Find Nathan's salary.
Answer:
From the ratio
The difference is 9 - 5 = 4
Hence Trisha has 4 units more than Nathan and this resulted to 16800
Therefore 1 unit will be
16800 / 4 = 4200
Nathan’s salary is 5 units
5 * 4200 = 21000
-0.5(14a - 22) = ? this for my work, please help me.
Answer:
-7a+11
Step-by-step explanation:
What is the range of this data set?
36.6, 39.8, 33.3, 34.8, 35.8, 39.6, 36.7, 36.9, 37.5, 32.2, 33.1, 33.3
Answer:
Step-by-step explanation:
39.8 - 32.2 = 7.6
Range is subtracting the highest and lowest numbers by each other .
Based on the calculations, the range for this data set is equal to 7.6.
What is a range?In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.
Mathematically, range is calculated by using this formula;
Range = Highest number - Lowest number
From the given data set, we have:
Highest number = 39.8.Lowest number = 32.2.Substituting the given parameters into the formula, we have;
Range = 39.8 - 32.2
Range = 7.6.
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Hope this helps. Good luck
A 22° B 54° С What is the measure of AD? O 108° 0 27° 126 54°
Answer:
A. 108
sorry if im wrong but if u am I'm so sorry
Which of the following is true of the numbers 4 and 10?
A. The greatest common factor is
B. The least common multiple is
C. The greatest common factor is 20.
D. The least common multiple is 40.
Answer:
None
Step-by-step explanation:
Answer is isn't there
the gcf = 2
the LCM = 20
Write the rate in lowest terms.
During a bad storm there was 2 in of rain in 4 hr.
The rate in lowest terms is_____?
Answer:
1/2 in/hr
Step-by-step explanation:
2 in / 4h = 1/2 inch per hour
What is a2+b2+c2? Thank you for your help.
Answer:
Pythagoras theorem
Step-by-step explanation:
dhebbd
What angles are acute GFE mlk dbc dba
Answer:
d and a
Step-by-step explanation:
an acute is an angle less than 90 degrees. a 90 degree angle is a right angle (klm) the only 2 angles smaller than (klm) are (gfe) and (dba)
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
Which number is a common multiple of 3 and 4?
A) 8
B) 14
C) 32
D) 48
Answer:
LCM of 3 and 4 is 12
Step-by-step explanation:
This is your answer
Answer:
The answer is D.
Step-by-step explanation:
To find the common multiple you would divide each answer choice by both numbers & if the are whole numbers then there is your answer. If it is a number with a decimal somewhere then that is not the answer.