The approximate value of q in the logarithmic equation is 0.585.
The given logarithmic equation is [tex]\rm q+log_2(6)=2q+2[/tex]
It is required to find the value of 'q'.
What is Logarithm?
It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have a logarithmic equation:
[tex]\rm q+log_2(6)=2q+2[/tex]
After simplification the above equation we get;
[tex]\rm q+log_2(6)=2q+2\\\rm q-2q=-log_2(6)+2\\\rm -q=-log_2(6)+2\\[/tex].....(1)
From the logarithmic table, we get the value of [tex]\rm log_2(6)[/tex]
[tex]\rm log_2(6)=2.5849[/tex]
Putting this value in equation (1), we get:
[tex]\rm -q=-log_2(6)+2\\\rm -q=-2.5849+2\\\rm -q=-0.5849\\\rm q=0.5849 \approx 0.585\\[/tex]
Thus, the approximate value of q in the logarithmic equation is 0.585.
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Does the expression x^3-1/x^2-1 simplify to x?
Answer:
no it doesn't
Step-by-step explanation:
[tex] \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ [/tex]
( x - 1 )s simplifies
[tex] \frac{ {x}^{2} + x + 1 }{x + 1} \\ [/tex]
_________________________________
Thus ; the expression doesn't simplify to x.
75g of flour and 135 ml of milk are used to make 12 biscuits. How much flour is needed to make 30 biscuits?
The length of a rectangular room is 7 feet longer than twice the width. If the room's perimeter is 146 feet what are the room's dimensions?
Width - 22 ft: length - 51 ft
Width - 33 ft: length - 40 ft
Width - 27 ft: length - 61 ft
Width - 44 ft: length - 102 ft
Answer:
width- 22ft : length-51 ft
Step-by-step explanation:
if you add 22+22 its 44 +7 it will give you 51.
that is twice the width+ the 7 feet
The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.
What is the perimeter of the rectangle?The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangular room is 7 feet longer than twice the width. Then we have
L = 2W + 7
If the room's perimeter is 146 feet. Then the dimension of the rectangle will be
P = 2(L + W)
146 = 2(2W + 7 + W)
73 = 3W + 7
3W = 66
W = 22 feet
Then the length of the rectangle will be
L = 2 x 22 + 7
L = 44 + 7
L = 51 feet
The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.
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HELP PLEASE ASAP DUE AT MIDNIGHT!!!!!!!!!
Step-by-step explanation:
20) <
21) <
22)-20,√26,√35,13.5
23)-5.25,3/2,√6,5
24)4³=64
5³=125
perfect squares between them:
8²=64
9²=81
10²=100
11²= 121
The following is the correct way to show the product for 0.297 times 7.1
Answer:
True
Step-by-step explanation:
True
No, This is not the correct way to solve the product of 0.297 and 7.1.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
To solve the product for 0.297 times 7.1.
So, The product for 0.297 times 7.1 is,
⇒ 0.297 × 7.1 = 2.1087
But here the product for 0.297 times 7.1 is 21.087.
So, This is not the correct way.
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Help me out look at the picture I wanna go to sleep
Answer:
It's B
Step-by-step explanation:
hope that helps :)
and go to sleep already <3
Answer:
B
Step-by-step explanation:
What is the length rounded to the nearest whole number? (length = 25.15 ft) *
Answer:
25
Step-by-step explanation:
y = 5x - 2 if x=2 what does y=?
Answer:
y=8
Step-by-step explanation:
y= 5(2) -2
y= 10-2
y=8
Answer:
y=8
Step-by-step explanation:
i dont have a step by step
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Draw and label the dimensions of a scale drawing of Elena's bedroom, using a scale of 1 to 50. Elena's bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know. Elena's bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed? How would I draw this out
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Actual length of rectangular bedroom = 5m
Actual width of rectangular bedroom = 3m
Scale = 1 to 50
Scaled length of bedroom = 5m/50 = 0.1m = 0.1 * 100= 10cm
Scaled width of bedroom = 3m/50 = 0.06m = 0.06 * 100= 6cm
If width of door = 0.8m wide
Scaled width of door : 0.8m/50 = 0.016m = 0.016 * 100 = 1.6cm
Bed measures : 4cm by 3cm on scale drawing ;
Actual bed dimension:
4cm * 50 = 200cm ; 200/ 100 = 2m
3cm * 50 = 150cm ; 150 / 100 = 1.5m
1- Finding angle measures between intersecting lines
NOTE: Angles not necessarily drawn to scale
x = ??
Is (-3,2,5) a solution to the following system of equations? *
x – 3y + z = 21
3x + 2y – 5z = -30
2x - 5y + 2z = -6
For each 12 mm of coloured fabric Sarah uses to make her curtains, she also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
Answer:
3:5 mm
Step-by-step explanation:
2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah
This sounds dum but I don't know what the line on top is for. (step-by-step explanation would be appreciated)
Answer:
C: 5/11
Step-by-step explanation:
The top line over the numbers usually mean the numbers are recurring (occurring again and again)
So 0.45 with the dash over the 45 means 0.454545454545... (goes forever, hence why we use the dash)
To solve you convert each option to a decimal and find one that has 0.45 recurring.
A: 4/5 =0.8
B: 5/9 = 0.55...
C: 5/11 = 0.45...
D: 4/9 = 0.44...
Hence, our answer is C.
Answer: It means that the numbers the bar is over repeats. Answer is C
Step-by-step explanation:
For example:
Example 1: [tex]0.123 \overline {4}[/tex] → The bar is only over the number 4 so only the number 4 repeats. [tex]0.123 \overline {4} = 0.123444444444444444444444...[/tex] with the number 4 repeating forever.
Example 2: [tex]0.12 \overline {34}[/tex] → This time the bar is over the 3 and the 4, so 34 and 4 repeat. [tex]0.12 \overline {34} = 0.12343434343434...[/tex]
Example 3: [tex]0.1 \overline {234}[/tex] = 0.1234234234234234234...
Example 4: [tex]0. \overline {1234}[/tex] = 0.123412341234123412341234...\
To solve your problem, it will be easiest to use a calculator and test each answer.
Choice A: [tex]\frac{4}{5} = .8 \neq . \overline{45}[/tex]
Choice B: [tex]\frac{5}{9} = 0.55555556 \neq 0. \overline{45}[/tex]
Choice C: [tex]\frac{5}{11} = 0.454545454545... = 0. \overline {45}[/tex]
Choice D: [tex]\frac{4}{9} = .44444444444... = 0. \overline {4} \neq 0. \overline {45}[/tex]
The Correct Answer is Choice C
Find the slope of the line between (1995, 5.4) and (2014, 11.8)
Answer:
[tex](19,6.4)[/tex]
Step-by-step explanation:
[tex](x^2-x^1)[/tex],[tex](y^2-y^1)[/tex]
so it would look like
[tex](2014-1995)[/tex],[tex](11.8-5.4)[/tex]
then
[tex](19)[/tex],[tex](6.4)[/tex]
or
[tex](19,6.4)[/tex]
Can someone help, I don’t know what I’m doing wrong.
Given the following least-squares regression line, how many seconds does this model predict a 7-foot pendulum would take to complete one period?
Answer:
the answer is the 1 with the check on it
11.2 seconds given model predicts a 7-foot pendulum that would take to complete one period.
The correct answer is option (D)
What is regression?"It is statistical model which is used to determine the relationship between variables."
What is least square method?"The least squares method is a mathematical regression analysis used to determine the line of best fit for a set of data."
Logarithm property:If log x = b, then x = (10)^b
Given : the least-squares regression line,
log Time = 0.699 + 0.500 log(Length)
We need to find the time when given model predict a 7 foot pendulum would take to complete one period.
Here, Length = 7 ft
Using given model,
⇒ log Time = 0.699 + 0.500 log(7)
⇒ log Time = 0.699 + (0.5 × 0.8451)
⇒log Time = 0.699 + 0.423
⇒ log Time = 1.122
⇒ Time = [tex]10^{1.122}[/tex]
⇒ Time = 13.2 seconds
Therefore, the correct answer is option (D) 13.2 seconds.
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What is -y + y.............
Answer:
the answer would be 0
can someone help plz
The measure of the PRS angle is : 99°
_________________________________
The length of the x is : 18
So the B is the correct answer.
solve 3-(3x-4)=2x+3(3x-7)
pls help and show steps will mark brainliest
Answer: x=2
Step-by-step explanation:Step 1: Simplify both sides of the equation.
3−(3x−4)=2x+3(3x−7)
3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)
3+−1(3x)+(−1)(−4)=2x+3(3x−7)
3+−3x+4=2x+3(3x−7)
3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)
3+−3x+4=2x+9x+−21
(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)
−3x+7=11x+−21
−3x+7=11x−21
Step 2: Subtract 11x from both sides.
−3x+7−11x=11x−21−11x
−14x+7=−21
Step 3: Subtract 7 from both sides.
−14x+7−7=−21−7
−14x=−28
Step 4: Divide both sides by -14.
−14x
−14
=
−28
−14
x=2
what is -21222 divided by -34627?
Answer:
0.6128743466
Step-by-step explanation:
Answer:
0.6128743466
Step-by-step explanation:
[tex]\frac{-21222 }{-34627}[/tex] =0.6128743466
Negative divided by a negative makes the answer positive
Can anybody help me please with question 2 please and thank you .I would really appreciate it so much. Please and thank you
Answer:
See below.
Step-by-step explanation:
See image for labels (labels are in blue).
Statements: Reasons:
1) [tex]T\text{ is the midpoint of } \overline{ZC}[/tex] Given
2) [tex]\overline{GT}\perp\overline{ZC}[/tex] Given
3) [tex]\angle GTZ\text{ and } \angle GTC\text{ are right angles}[/tex] Def. of Perpendicular Lines
4) [tex]\overline{ZT}\cong\overline{TC}[/tex] Def. of Midpoint
5) [tex]\angle GTZ\cong\angle GTC[/tex] Right Angles Are Congruent
6) [tex]\overline{TG}\cong\overline{TG}[/tex] Reflexive Property
7) [tex]\Delta TGZ\cong\Delta TGC[/tex] SAS Congruence
And we're done!
Answer:
Sorry that looks a bit confusing though
Step-by-step explanation:
What is 8×∙(−7)∙3 = Because I need it right now for my HOMEWORK, so if you know the answer please tell me what it is.
Answer:
-168
Step-by-step explanation:
8 × -7 × 3
-56 × 3
-168
A metal worker has 57 grams of an alloy that is 37% gold. She also has a large supply of an alloy that is 17% gold. How many grams of the 17% gold alloy does she need to add to the 37% gold alloy to obtain an alloy that is 25% gold? Write your answer as a whole number or as a decimal rounded to the nearest tenth.
Answer:
85.5 grams of 17% gold alloy is added.
Step-by-step explanation:
A metal worker has 57 grams of an alloy that is 37% gold.
And let x grams of an alloy which is 17% gold.
Let's add them to get 25% of (x+57)grams of alloy.
So, we can set up equation as
57(37%) +x(17%) =(x+57)(25%)
Simplify and solve the equation for x.
21.09+0.17 x= 0.25 x+14.25
Subtract both sides 0.25 x
21.09-0.08 x =14.25
Subtract both sides 19.95
-0.08 x=-6.84
Divide both sides by -0.08
x=85.5 grams
A man drove his car a distance of 366 miles in 6 hours. If continuing at this rate is possible, he will travel miles in 7 hours
Answer:
its 427 since 366 divided by 6 is 61 and thats the rate multiply it by the hours so its 42
Answer: 427 miles
Step-by-step explanation:
You simply divide 366 by 6,
Then, multiply that number by 7
366/6 = 61
61 * 7 = 427
6 2/9 ÷ (-2 2/3)
please help
- 2 1/3
Step-by-step explanation:Hi there !
6 2/9 : ( - 2 2/3) =
= (6*9+2)/9 : -(2*3+2)/3
= 56/9 : - 8/3
= 56/9 × - 3/8
simplify 56 - 8 ; 9 - 3
= 7/3 × - 1/1
= - 7/3
= - 2 1/3
Good luck !
write an equation of the quadratic function that has x-intercepts 5-i√2 and 5+i√2
Answer:
f(x) = x² - 10x + 27
Step-by-step explanation:
Given the x- intercepts of f(x) are x = a and x = b, then the factors are
(x - a) and (x - b) and f(x) is the product of the factors, that is
f(x) = (x - a)(x - b)
Here the x- intercepts are 5 - i[tex]\sqrt{2}[/tex] and 5 + i[tex]\sqrt{2}[/tex] , thus the factors are
(x - (5 - i[tex]\sqrt{2}[/tex] )) and (x - (5 + i[tex]\sqrt{2}[/tex] )) , that is
(x - 5 + i[tex]\sqrt{2}[/tex]) and (x - 5 - i[tex]\sqrt{2}[/tex] , then
f(x) = (x - 5 + i[tex]\sqrt{2}[/tex] )(x - 5 - i[tex]\sqrt{2}[/tex] ) ← expand using FOIL
= (x - 5)² - 2i² ← i² = - 1
= x² - 10x + 25 + 2
= x² - 10x + 27
I NEED HELP PLEASE ITS DUE AT 1:00am
Answer:
5(4) + 5(8)
Step-by-step explanation:
Distributive property is a(b + c) = ab + ac. The beginning value distributes to the other values inside the parentheses. Hope this helped!
If 1 – 2i is a root of 3x2 + ax + b = 0, find the value of b.
Answer:
a=−(1+1)=−2
b=(1+1)=2
Step-by-step explanation:
Are 5xyz and 10xy like terms ? pls answer!
Answer:
No
Step-by-step explanation:
5xyz and 10xy are not like terms because 5xyz has a z and 10xy doesn't. Like terms always have the same variables.
If you are buying at item at a store for a price of $21, and there is a 8.7% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
22.83 I think
Step-by-step explanation:
Choose an equivalent expression for 123 • 129 • 124 • 122.
Answer:
Like what type of expression? And Is it for all the numbers at once, or is it each number separately?
Step-by-step explanation: