Which expression correctly shows how to rewrite lo7 15 using a log base of 9?
Answer:
Fourth option.
Step-by-step explanation:
The change of base formula is if we have a logarithm in the form of
\( log_{b}(a) \)
we can rewrite this as
\( \frac{ log_{c}(a) }{ log_{c}(b) } \)
w
\( \frac{ log_{9}(15) }{ log_{9}(7) } \)
The fourth option is the answer
Find the distance between ─6 and 7 on a number line. __ unit(s)
Answer:
The distance between -6 and 7 is 13 units.
Step-by-step explanation:
I hope I helped! :)
Angle T and angle V are complementary angles. If cos T = 0.75, which statment is always true?
Complementary angles T and V would add up to 90 degrees
The true statement is sin V = 0.75
How to determine the correct statement?The given parameters are:
cos T = 0.75
Angles T and V are complementary angles
The second highlight above means that:
T + V = 90cos T = sin Vsin T = cos VSubstitute 0.75 for cos T in cos T = sin V
0.75 = sin V
Rewrite as:
sin V = 0.75
Hence, the true statement is sin V = 0.75
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A group of friends spent 52.50$ on 6 movie tickets. Write an equation to represent the cost, c, per movie ticket, t.
Answer: 8.75t = c
Step-by-step explanation: 52.5/6 = 8.75 so 8.75$ per ticket.
haley puts these 12 tiles in a bag and shakes the bag.Then she picks a tile at random.What is the probability she picks a tile that is multiple of 3
Answer:
1 in 3 chance
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12
This means there are 4 multiples.
4/12 or 4 ÷ 12 = 1/3
So there is a 1 in 3 chance (33.333%) to get a multiple of 3
Lara went to the nursery and spent $140 she purchased 4 plants each of the plant costs the same price what is the cost of 1 plants ?
Answer:
$35 per plant
Step-by-step explanation:
You take the 140 and divide that by 4 to get your answer.
Javier bought a painting for
$
150
$150dollar sign, 150. Each year, the painting's value increases by a factor of
1.15
1.151, point, 15.
Which expression gives the painting's value after
7
77 years?
Choose 1 answer:
Choose 1 answer:
(Choice A)
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
A
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
(Choice B)
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
B
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
(Choice C)
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
C
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
(Choice D)
150
+
1.15
⋅
7
150+1.15⋅7150, plus, 1, point, 15, dot, 7
D
150
+
1.15
⋅
7
150+1.15⋅7
The correct expression is \($(150 \cdot 1.15)^7$\) (Choice A).
The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).
To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.
If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.
Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.
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Select the correct answer.
To determine which window cleaner is most effective, Thad washes half of the windows in his house with one brand and the other half with a
different brand. He then compares the results to draw a conclusion about which cleaner is most effective.
What kind of statistical study did Thad conduct?
A.survey
B.experiment
C.theoretical study
D.observational study
Answer:
B! Pls mark brainiest!
Step-by-step explanation:
Answer:
Theyre right the answer is B. expirment
Step-by-step explanation:
Took the test just confirming
How do you find the area's square root?
In mathematics, a square root of a number x is such that, a number y is the square of x, simplify written as y2 = x.
For example :
Square roat of -25
\( \sqrt{ - 25} \)
\( \sqrt{( - 1)25} \)
\( \sqrt{5 \times 5(-1)} \)
\(5 \sqrt{ - 1} \)
\( - 5\)
Answer:
How do you find the area's square root?
➢The square root of any number can be expressed using the formula: √y = y½.
Step-by-step explanation:
I hope it will help you have a great day bye and Mark brainlist if the answer is correct
\(kai6417\)
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XZ.P Point P(-7, 2) is mapped onto P¹ (3, -11) by the reflection y=mx+c. find the values of the constants m and c.
The values of the constants m and c include the following:
m = -1.3
c = 7.1
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + c
Where:
m represent the slope or rate of change.x and y are the points.c represent the y-intercept or initial value.Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;
2 = -7m + c ...equation 1.
-11 = 3m + c ...equation 2.
By solving the system of equations simultaneously, we have:
2 = -7m - 3m - 11
11 + 2 = -10m
13 = -10m
m = -1.3
c = 7m + 2
c = 7(-1.3) + 2
c = -7.1
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Which equation can be simplified to find the inverse of y = 5x^2 + 10?
Answer:
Step-by-step explanation:
Here's the solution
f^(-1)(x)=(\sqrt(5(x-10)))/(5), -(\sqrt(5(x-10)))/(5)
Select the true statement about triangle ABC.
A. sin A = sin C
B. sin A = cos B
C. sin A = cos C
D. sin A = tan c
Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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A store is having a sale to promote a new product. Every item in the store is 1/6 off the regular price. If an item is on sale for $74, what was the regular price? Show your work.
1/6 off means the regular price for that item should be: $88.8
Work:
The sale = $74 ÷ 5 × 1 = $14.8
=> The regular price = $14.8 x 6 = $88.8
i need help with figures and dilations
What is the area of a circle with a diameter of 37 inches?
in²
(Use 3.14 for Pi.)
Answer:
1073.45 in²
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is the diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The equation to solve for the area of a circle is:
π × \(r^{2}\) = Area of a circleBut wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:
diameter ÷ 2 = radiusNow that we know this, we can insert 37 in for the diameter:
37 ÷ 2 = 18.5So, the radius of the circle is 18.5 inches.
Inserting 18.5 into the expression for the radius:
π × \(18.5^{2}\) =Using 3.14 for pi:
3.14 × \(18.5^{2}\) = 1073.45 in²Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².
A record store has 3,108 records evenly shared among 6 rows. How many records are in each row?
Answer:
518
i don't know if this needs much explaining.
Answer:
518 records per row
Step-by-step explanation:
Divide to find out how many are in each row :
No. of records / No. of rows3,108 / 6518 records per rowEvaluate
P/2 -
5 when p =14
Answer:2
Step-by-step explanation:
\(\frac{14}{5} -5\)
Divide 14 by 2 to get 7.
7−5
Subtract 5 from 7 to get 2.
Answer=2
\( {x}^{2} - 9 \: {x }^{2} + x - 2\)
how do i do this?
What is a 15 of the sequence –7,2, 11, ...?
We can see: Everytime, the new number is the sum of the number behind it with 9.
So the 15th will total add: 9 x 14 = 126
Start from number -7 so the 15th number is : 126 -7 = 119
SO: B.119 is the answer
NL: Sorry my english was bad
Answer:
119
Step-by-step explanation:
We need to find the 15th term in the sequence. The pattern is that each term increases by 9.
We can then count to the 15th term
-7 + 14*9 = 119
Therefore, the 15th term is equal to 119, or answer B.
Gameron wants to measure a poster frame, but he only has a sheet of
paper that is 8 1/2 by 11 inches
a.
He lays the long edge of the paper along the long edge of the frame several times
and finds the frame is 4 papers long. How long is this in inches?
In feet?
b.
He lays the short edge of the paper along the short edge of the frame several times
and finds the frame is 3 papers wide. How long is this in inches?
In feet?
plsss help!
The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: The measure of the frame is 8.5 inches and 11 inches
a) if the frame is 4 papers long then we have the length of the frame as
11×4=44 inches (since he lays the paper along the edge of frame)
We know 1 inch= 0.0833 foot
Thus 44 inches= 3.66667 foot
b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches
∴25.5 inches= 2.125 feet
Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.
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58 * 2076 * 89 * 278
Answer:
2979134736
Step-by-step explanation:
Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct two confidence intervals (one with confidence level of 90% and the other one with confidence level of 99%) to estimate the proportion of people who have type 2 diabetes. What is the relationship between the confidence level and the size of the confidence interval? Is this significant? Why is it important to understand this concept?
Answer:
it is important because the number of people who are infected by the disease is rising
factorizar 10m-8n-20
Answer:
-18
Step-by-step explanation:
Answer:
2(5m-4n-10) SEE THE IMAGE BELOW:)
Step-by-step explanation:
Factor out 2 from the expression
so the answer would be 2(5m-4n-10)
Please break down how to do these pls
The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.
Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\) 2. 2\(x^{0}\)\(y^{-2}\)
Expression for x =2 and y=5
-4x-2 + 3y0
= -4(2)-2 + 3(5)0
= 16+3
=19
Now
2x0y-2
= 2(2)0x(5)-2
= 2 x (1/25)
= 2 x 0.04
= 0.08
Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
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Need help please someone
Answer:
25 Meter
Step-by-step explanation:
Answer:
llllllllllllllllllllllllll
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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i really need helps with this i dont understannd it
Answer:
A < C < B = 0.2 < 0.222 < 0.25
Step-by-step explanation:
the best way to do these least to greatest questions is to get them all in the same units so you can compare.
A = \(\sqrt{\frac{1}{25} }\)which is \(\sqrt{0.04}\) = 0.2
B= 1/4 = 0.25
c=0.22222222.....
now that they are in the same units we see A is the smallest, then C, and then B
Whoever responds first will get marked Best.
The amount of wallpaper needed to cover the wall is an example of which
A: area
B: volume
C:perimeter
D:length
Answer:
A area
Step-by-step explanation:
7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
\( \frac{7 }{4x + 3y} + \frac{4}{4x - 3y} = \frac{5}{4} \\ \frac{8}{4x - 3y} - \frac{14}{4x + 3y} = \frac{3}{2} \)
9514 1404 393
Answer:
(x, y) = (4, 4)
Step-by-step explanation:
If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...
7a +4b = 5/4
8b -14a = 3/2
where a = 1/(4x+3y) and b = 1/(4x-3y)
Dividing the second equation by 2 and adding the first, we have ...
(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)
8b = 8/4
b = 1/4
Substituting into the first equation gives ...
7a +4/4 = 5/4
a = 1/28
__
Now, we can get back to solving for x and y.
4x +3y = 1/a = 28
4x -3y = 1/b = 4
8x = 32 . . . . . . . . . add the two equations
x = 4
3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange
y = 4 . . . . divide by 3
The solution to the system of equations is (x, y) = (4, 4).
_____
Additional comment
If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.