Answers
Answer:
y=2
Step-by-step explanation:
Logarithmic Equations
The following equation is given:
[tex]log_y 8+ log_y 4=5[/tex]
Recall the property:[tex]log_b x+lob_b y=log_b (x.y)[/tex]
Applying: [tex]log_y 32=5[/tex]
Now recall the definition of the log:
If:
[tex]log_b a=x[/tex]
Then
[tex]b^x=a[/tex]
The equation becomes:
[tex]y ^5=32[/tex]
But 32=2^5, so:
[tex]y ^5=2^5[/tex]
Equating the bases:
y=2
Related Questions
Graph the exponential function
f(x)=2/5)x
Answers
Answer:
Step-by-step explanation:
FIND X
NEED HELP ASAP
Answers
Answer: x = 3
Step-by-step explanation:
Subtract 15 from both sides
2/3x = 2
Divide each side by 2/3
x = 3
Answer:
welp to bad its like -4 tho
Step-by-step explanation:
If the equality symbol of an equation is changed to an inequality symbol that does not includes equal to,
why is the solution to the equation always not included in the solution to the inequality?
Answers
The solution to the equation always not included in the solution to the inequality
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Two or more expressions with an Equal sign is called as Equation.
Where as a relationship between two expressions or values that are not equal to each other is called 'inequality.
Both inequality and equations are different,
Inequalities and equations are both math statements that compare two values.
Equations use the symbol =
Inequalities will be represented by the symbols <, ≤, >, and ≥.
Hence, the solution to the equation always not included in the solution to the inequality.
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What’s is
the slope of the line
that contains these Points -2,8) (1,2)(2,0)(4,-4)
Solve with algebra
Answers
Answer:
-2x
Step-by-step explanation:
1.) you pick two points I am going to use (2,0) and (4,-4)
2.) use the slope formula y2-y1/x2-x1
3.) substitute the points into the equation -4-0/4-2
4.) solve the equation (-4-0= -4) / (4-2= 2)
5.) the slope is -4/2 or -2
Beatrice makes a jar of dry soup mix. The ingredients are:
1 3/4 cups uncooked rice
1/3 cup beef bouillon
1/2 cup dry lentils
1/4 cup dried onion flakes
1 2/3 = 5/3cups uncooked pasta
1/2 cup dried peas
_______________________
O Commutative Property
O Associative Property
O Zero property
O Distributive property
Answers
y = 1.6x + 48
Based on the equation, what is the approximate shoe size for a man having a height of 60 inches?
A. 7 1/2
B. 10 1/2
C. 12
D. 14
Answers
Answer:1
14
Step-by-step explanation:
substitue 60 into 1.6
y = 1.6(60) + 48
96 + 48
144
2
A plumber charges $25 for a service call and $50 per hour of service.
Write an equation for the cost, c, after h hours of service. If a plumber
spent 3 and a half hours at my house, how much is my bill?
Equation:
Answer:
Answers
Answer:
25+50h=c
$200 is the your bill
Step-by-step explanation:
50×3.5=175
175+25=200
The skating rink charges $100 to reserve the place and then $5.50 per person. Write an algebraic expression.
Answers
Answer:
y=5.5x+100
Step-by-step explanation:
since the $5.50 is your variable, you set that to the x value, and 100 to reserve is your y intercept because it is constant.
What is the equation of the line that passes through the points (-6,-7) and (6,3)
Answers
Answer:
[tex]y=\frac{5}{6} x-2[/tex]
Step-by-step explanation:
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are coordinates of a point that the line passes through, and [tex]m[/tex] is the slope of the line.
We are given two points that the line passes through, but we are not given the slope.
We can find the slope by using the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]where [tex](x_1, \ x_2)[/tex] and [tex](y_1, \ y_2)[/tex] are two points that the line passes through.
Substitute (-6, -7) and (6, 3) into the slope formula:
[tex]\frac{3-(-7)}{6-(-6)} = \frac{10}{12} = \frac{5}{6}[/tex]The slope of this line is 5/6. Now we are able to use the point-slope equation to find the slope-intercept equation [tex](y=mx+b)[/tex] of this line.
Substitute a point that the line passes through and the slope of the line into the point-slope equation. I'm using the point (6, 3).
[tex]y-y_1=m(x-x_1)[/tex][tex]y-(3)=\frac{5}{6} (x-(6)[/tex][tex]y-3=\frac{5}{6} (x-6)[/tex]Distribute 5/6 inside the parentheses.
[tex]y-3=\frac{5}{6} x-\frac{30}{6}[/tex][tex]y-3=\frac{5}{6} x-5[/tex]Add 3 to both sides of the equation.
[tex]y=\frac{5}{6} x-2[/tex]This is the equation of the line that passes through (-6, -7) and (6, 3) in slope-intercept form.
i rly need plz help so plz help :/
Answers
Answer:
Step-by-step explanation:
Follow PEMDAS
P = parenthasees
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
There are no P or E or M
so divide
-3 = h + 4
then we just subtract four on both sides
h = -7
what expression is equivalent to 6(3+0.5)
A.6(3)+0.05
B.(6+3)+(6+0.5)
C.6(3)+6(0.05)
D.6(3)x6(0.05)
Answers
What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
O y=1/5x+4
Oy= 1/5x+12/5
O y = -5x + 4
O y=-5x +12/5
Answers
Answer:
y=1/5x+12/5
Step-by-step explanation:
The slope is the same
At grocery mart,apples are on sale 6 apples for $3.54. find the unit cost?
Answers
Answer:
$.59 per apple
Step-by-step explanation:
The unit cost is the price divided by the number of items
3.54 / 6
.59
$.59 per apple
Answer:
0.59 or .59
Step-by-step explanation:
3.54 divided by 6
You earn $8.50 per hour and work 30 hours this week. What is the straight time pay?
Answers
Answer:
255
Step-by-step explanation:
How do you solve
Given: m
Prove: m
Answers
Which of the following is a true statement?
The opposite of −45 is equal to the absolute value of −45.
The opposite of 45 is equal to the absolute value of −45.
The opposite of −45 is not equal to the absolute value of 45.
The opposite of 45 is equal to the absolute value of 45.
Answers
Answer:
The opposite of 45 is equal to the absolute value of -45.
Absolute value means switching to to a negative if it's a positive and if it's a negative to a positive. For 0, it remains 0 and doesn't switch to a -/+.
Answer:
The opposite of 45 is equal to the absolute value of -45
Step-by-step explanation:
Hope this helps!
plzzzz tell me what these are called in the answer first one get it
Answers
what is the equation of the line that passes through the point(3,-6) and has a slope of 0
Answers
Answer:
y = 3 x − 3
Step-by-step explanation:
The equation for slope-intercept form is as follows:
To find c , substitute x = 3 , y= 6 and m = 3 into the equation,6=3 (3 ) + c c= 6 − 9 c = − 3 Since we found m = 3 and c= − 3 , we can form the equation, = 3 x− 3
:D
Answer:
y=-6
Step-by-step explanation:
I got it wrong and told me this was the answer! Im not good with math lol
Barbra has a part-time lawn-mowing job. The table below shows the amount of money Barbra earned for different numbers of hours of work: Barbaras earnings from lawn mowing number of hours worked money earned (dollars) 5 40 6 48 56 part A: what are the missing numbers in the table? Show your work. (4 points) part b. Barbara also works Part time at a theme park. To the money she earns so 1:9.create a table to show the money earned by Barbara for 5,6 and 8 hours of work at the theme park (3 points) PartC: how many more dollars does Barbara ern working fat the theme park for 5 hours then mowing lawns for 5 hours? Show your work
Answers
Answer:
it isn't obvious from your problem statement where the missing numbers are in your table. We have assumed that Barbara charges the same hourly rate for all mowing jobs, so the red numbers were the ones that were missing.
Since we know our times-8 and times-9 times tables, all the work is mental. There is nothing to show. Each number in the Dollars column is 8 times the number in the Hours column.
B) See the table on the right. Again, we know our times tables. 5*9 = 45, and so on.
C) 45 -40 = 5
Barbara earns 5 dollars more at the theme park for 5 hours' work than she does mowing lawns. (Check: The rate difference is $1 per hour, so the difference in earnings will be $5 for 5 hours.)
Step-by-step explanation:
For a charity race car event a sponsor committed to
give you a flat fee of $100 plus S10 for every lap I
that was completed.
Write an expression for the total amount you will
collect from your sponsor at the end of the race car
event.
Answers
A movie production company was interested in the relationship between the budget to make a movie and how well that movie was received by the public. The company collected information on several movies and used it to obtain the regression equation y = 0.145x+0.136, where x represents the budget of the movie (in millions of dollars) and y is the predicted score of that movie (in points from 0 to 1). Which statement best describes the meaning of the y-intercept of the regression line?
When the score of a movie is 0 points, the predicted budget is $0.
When the score of a movie is 0 points, the predicted budget is $0.136 million.
When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
When the budget of a movie is $0, the predicted rating is 0.145 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
Answers
Answer:
Pretty sure it's (C), although I am unable to check. --> IT IS C I GOT 100%
"When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0."
The y intercept is the starting "points", which is .136. Basically the company uses the equation to figure out how much money they got from a movie and how it increases as the budget increases. They make money off points.
So when there's no budget or a budget less than a million, thats what they earn in points.
Which is, .136 ; this means when theres no budget, they are expected to start with .136 points. (Probably cuz they're a cool company or something)
========================
If you're looking for a question that asks "What is the predicted score of a movie that has a $5 million budget?", its (C), .861
If you're looking for a question that asks "What is the predicted score of a movie that has a $250,000 budget?", it's (B) 0.17225 points
[THIS PART IS SEPARATE FROM THE ORIGINAL QUESTION]
========================
ED2021
The interpretation of a given situation is required.
When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
The regression equation is
[tex]y=0.145x+0.136[/tex]
where,
[tex]y[/tex] = Predicted score of that movie
[tex]x[/tex] = Budget of movie in millions of dollars
The y intercept is the value of the function when [tex]x=0[/tex]. So,
[tex]y=0.145\times 0+0.136\\\Rightarrow y=0.136[/tex]
When [tex]x=0[/tex] this means the budget of the movie is 0 million dollars.
This is not meaningful.
So, the correct interpretation of the y intercept is When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
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In the morning a group of hikers hiked 3 ½ miles, took a break, and then hiked another 2 ¾ miles. The group then stopped for lunch. In the afternoon, the group the hiked 4 ¼ miles, and took another break. How many more miles do they need if the whole trail is 14 miles long?
Answers
Answer:
3 2/4
Step-by-step explanation:
1/2 is equivalent to 2/4 so you add 3 2/4 + 2 3/4 and that = 6 1/4 and its simple math from there on, 6 1/4 + 4 1/4 = 10 2/4 finally 14 - 10 2/4 = 3 2/4
5.5 miles are left to cover.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
In the morning a group of hikers hiked 3 ½ miles
and then hiked another 2 ¾ miles. then group the hiked 4 ¼ miles.
Total miles to cover = 14 miles
So, number of miles to be driven
= 14 - ( 3 ½ + 2 ¾ + 4 ¼)
= 14 - ( 7/2 + 11/4 + 17/4)
= 14- (14/4 + 11/4 + 17/4)
= 64 - 42 / 4
= 22/4= 11/2
= 5.5 miles
Hence, 5.5 miles are left to cover.
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solve by substitution
y=6x-23, 4x-5y=37
Answers
Answer:x=3 , y=-5 OR (3,-5)
Step-by-step explanation:
I need help with this question.
Answers
Answer:
B!
Step-by-step explanation:
Name: Pres
How many 7/8 cup servings are in a pitcher that contains 8 1/4 cups of fruit punch?
Answers
Answer:
9 and 3/8 left over
Step-by-step explanation:
to calculate this you have to convert the cups to eighths so:
8 cups*8= 64/8
1/4*2= 2/8
64/8+ 2/8= 66/8
66 divided by 7= 9 and 3/8
round 0.865 to the nearest tenth
Answers
Answer:
0.9
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
.865 will be rounded up to 1
y=t+a/t-b
express t in terms of a, b and y.
t-b
Answers
Answer:
t=(a+by)/(y-1)
Step-by-step explanation:
(t-b)y =t+a
ty-by = t+a
ty-by=t+a
ty-by=a+by
t(y-1)=a+by
thus,
t=(a+by)/(y-1)
If f(x) = 2x2-4x+12 , what is f(-4)
Answers
f(-4)=2(-4)^2-4(-4)+12
= 32+16+12
= 60
Hope this helps! Comment if you need any explanation and I’ll try to get back to you ASAP
For a business meeting, Jenna is making copies of her presentation. The more people
who plan to attend, the more copies Jenna will have to make.
Which of the variables is independent and which is dependent?
Independent (Select]
<
Dependent [Select ]
Answers
Answer:
Independent: The people who attend.
Dependent: The copies she has to make.
Step-by-step explanation:
She will make a certain amount of copies depending of how many people attend.
Write two inequalities that would have the solution set as graphed below.
Answers
Answer:
The answer is x > -1
Step-by-step explanation:
This is because if it were a closed circle, it would have to the include the inequality -1 but since it is an opened circle, that inequality is not included. So in conclusion, Any number could be used to represent x as long as it is a greater number than -1. I hope this makes sense.
x>-1 and x<-2 are two inequalities that would have the solution set as graphed.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
x>-1 and x<-2 are the solutions of the given graph
This is because if it were a closed circle, it would have to the include the inequality -1 but since it is an opened circle, that inequality is not included.
Any number could be used to represent x as long as it is a greater number than -1.
Hence, x>-1 and x<-2 are two inequalities that would have the solution set as graphed.
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