Answer:
Terry should buy half a liter because if he buys 250 millimeters, he will need to pay $20.28, which is more than 14.34.
Which can be used to describe an equivalent expression for (s Superscript 6 Baseline) Superscript negative 3? Adding the exponents will create an equivalent expression. Dividing the exponents will create an equivalent expression. There are three factors of StartFraction 1 Over s Superscript 6 Baseline EndFraction. There are three factors of StartFraction 1 Over s Superscript 3 Baseline EndFraction.
Answer:
D
Step-by-step explanation:
i took the test
The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
The given expression is;
[tex](x^{6} )^{-3}[/tex]
Required to Determine the equivalent expression.
First, we need to evaluate the expression in the bracket:
Apply the following law of indices:
[tex](x^a)^b = x ^{ab}[/tex]
So:
[tex](x^{6} )^{-3}[/tex]
becomes
[tex](x )^{6 \times -3}\\\\[/tex]
[tex](x )^{-18}[/tex]
Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].
Learn more about expression here;
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Solve the following:
a)
3x + 4 /2 = 9.5
7 + 2x /3 = 5
b)
PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1
log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Answer:
[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Step-by-step explanation:
Given the expression:
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]
first apply the division law of logarithm:
[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]
Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]
[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
Answer:
Its D on edge
Step-by-step explanation:
A scale drawing is shown for clubhouse. The measurements are 4“ x 8“ what will the actual clubhouse measurements be if the scale factor is 1 inch equals 2 feet
Answer:
8ft. x 16ft.
Step-by-step explanation:
If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.
Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile
Answer:
5 minutes
Step-by-step explanation:
Do a proportion
440/75= 1760/x
cross multiply
440x=1760(75)
simplify
132000/440
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. secant
C. cosine
D. cosecant
Answer:
cosine I think
Step-by-step explanation:
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.
The sine is given as the side opposite to the angle is known as perpendicular.
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.
More about the trigonometry link is given below.
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Hi there! I need some help with this question, thx!
In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."
Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60
Which statement is true?
A. Every term in Pattern B is 3 times the corresponding term in Pattern A.
B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.
C. Every term in Pattern B is 5 times the corresponding term in Pattern A.
D. Every term in Pattern B is 13 the corresponding term in Pattern A.
Answer:
sky im going with A
Step-by-step explanation:
Crunch Bunch cereal boxes come in two sizes. The mini What is the height of the standard size box of Crunch
cereal box of Crunch Bunch is a reduction of the
Bunch?
standard box
1.6 inches
8 in
6.4 inches
10 inches
15.2 inches
Standard Box
Mini Box
The answer is 10
Answer:
10 inches
Step-by-step explanation:
For we solve this, we can use proportionality
Using the following method
Mini box: height 4 inches and width 3.2 inches
The proportion is: 4 in (height) / 3.2 in (width)
Standard box: height x inches and width 8 inches
x in (height) / 8 in ( width)
So:
x /8= 4/ 3.2
Solving for x:
x = (4/ 3.2) 8
x = 10 inches
As the answer
Answer:
10 inches
Step-by-step explanation:
Anne wants to create a data display to summarize prices of the 264 homes for sale in her
area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000
She wants the display to show how many homes are available for homebuyers with various
budgets. Which data display is best for Anne's purpose?
a histogram, because the minimum and maximum values are clearly displayed
a box plot, because the median is clearly displayed
a box plot, because the data are divided into four ranges of values
a histogram, because the bars show the frequency of data points within different ranges
Answer:
The correct option is (D).
Step-by-step explanation:
The boxplot is a consistent way to exhibit the data-distribution based on, minimum, first quartile, median, third quartile and maximum.
Therefore we can say it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.
In this case it is provided that Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
So, Anne can set range of budget values and assign the number of buyers with various budgets.
From the provided data the range of budget values can be set as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Thus, the histogram data display is best for Anne's purpose.
The correct option is (D).
This question is based on the concept of statistics. Therefore, the histogram data display is best for Anne's purpose. Hence, the correct option is D, histogram.
Given:
Anne wants to create a data display to summarize prices of the 264 homes for sale in her area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000.
According to the question,
As we know that, the boxplot is consistent way to exhibit the data distribution based on the minimum, first quartile, median, third quartile and maximum.
Therefore, it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The following methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most extensively used devices of illustrating a frequency distribution is the histogram.
In this question it is provided that, Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
Thus, Anne can set range of budget values and assign the number of buyers with various budgets.
From the given data the range of budget values can be written as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Therefore, the data display is best for Anne's purpose. Hence the correct option is D, histogram.
For more details, prefer this link:
https://brainly.com/question/23370669
6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119
Answer:
140
Step-by-step explanation:
first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140
solve |-4|/|-4| please help
Answer:
i think the answer is 1 dont take my word for it though
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1
Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7
Answer:
6x -2y = 8
-6x+5y = 7
3y = 15
y = 5
6x - 2(5) = 8
6x - 10 = 8
6x = 18
x = 3
(3, 5)
Step-by-step explanation:
16x^4y^2(9x^3y^4) fully simply
Answer:
[tex]=144x^7y^6[/tex]
Step-by-step explanation:
[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]
Answer:
Step-by-step explanation:
2 x(4−3xy^2)/y
a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid
Answer:
28cm^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(9+5)/2*4=7*4=28
28cm^2
One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answer:.03x=6
Step-by-step explanation x=200 minutes
Answer:
200 minutes
Step-by-step explanation:
To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:
[tex]16.95+0.05x=22.95+0.02x[/tex]
We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.
Solve for x. Subtract 16.95 from both sides and simplify:
[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]
Subtract 0.02x from both sides:
[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]
Divide both sides by 0.03:
[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]
At 200 minutes, the cost for both plans would be the same.
There is a 20% chance of rain on Tuesday and a 30% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?
Answer:
There is a 40% chance that it will rain Tuesday and Friday.
Step-by-step explanation:
This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%
Answer:
60 percent chance
Step-by-step explanation:
First you multiply the two together. Then move the decimal to get a percent! HOpe this helps
pays $0.72\$0.72 $0.72 dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6%6\% 6% 6, percent . What is the original price of the bracelet, before tax?
Complete Question
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?
Answer:
$12
Step-by-step explanation:
Let the original price of the bracelet before tax =x
Tax rate =6%
That means:
6% of x =$0.72
0.06x=0.72
Divide both sides by 0.06
x=$12
The original price of the bracelet, before tax is $12.
A soccer field is a rectangle 40 yards long and 30 yard wide. The coach asks the players to run from one corner to the other corner diagonally across. What is the distance?
Answer:
50 yards
Step-by-step explanation:pythogourus theorem apply here
a²+b²=c²
40²+30²=c²
c²=2500
c=√2500
c=50 yards
hope this helps
plz mark me brainliest
plzWegnerkolmp2741ohelpmethakyou
Answer:
z=2
Step-by-step explanation:
z^2 - 4z+4 =0
Factor recognizing
a^2 - 2ab - b^2 = (a-b)^2
(z-2)^2 =0
Using the zero product property
z-2 = 0
z=2
Help me with my assignment if u are brilliant
Answer:
0° and 90°
Step-by-step explanation:
Bearing is simply the angle, clockwise, between the north direction and any other direction;
In the first image (on the left) B is exactly in the north direction as compared to A so the bearing is 0°;
In the other image, B is to the right of A, which is a clockwise rotation of 90° from the north direction.
evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?
Answer:
idk i have the same question
Step-by-step explanation:
Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?
Answer: 72
Step-by-step explanation:
Ok, in her legs the options are:
2 jeans + 3 black pants + 1 skirt = 6 options.
on her torso the options are:
2 pinks shirts + 4 striped shirts = 6 options.
And on top of that she has:
2 hooded sweatshirts = 2 options.
The total number of combinations is equal to the product of options for each type of garmet; this is:
C = 6*6*2 =36*2 = 72
So she has 72 different outfits.
Answer:
It is 70 becouse of how many clothing ther is and u just mulytly
it tell me if im right or wrong
thanks stay safe
byebye
Step-by-step explanation:
Please help!!!! AWARDING BRAINLIEST!!
out of 17,21,14,17,12,15,16 what is the mean?
Answer:
mean is 16
Step-by-step explanation:
to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.
17+21+14+17+12+15+16 = 112
then u see how many number there are and there are 7
112/7= 16
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how
much money would you owe in taxes at the end of the year? Show your work. (5 points)
Answer:
$1,263.75
Step-by-step explanation:
8425×0.15=1263.75
Answer: $1263.75
Step-by-step explanation:
$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.
So, you would owe $1263.75 in taxes at the end of the year.
2x-y<5
[tex]2x - y \leqslant 5[/tex]
Answer:
Step-by-step explanation:
Please be sure to include the directions when you post a question. I will assume you want to graph this inequality 2x - y ≤ 5.
2x - y = 5 is a linear function whose graph is that of a straight line. Because of the ≤ sign, the solution set includes all points on this straight line PLUS all points below it.
x - intercept: Set y = 0 in 2x - y = 5 and solve the resulting equation for x:
2x - 0 = 5. Then x = 5/2, and the x-intercept is (5/2, 0).
y-intercept: Set x = 0 and solve for y: 2(0) - y = 5: y = -5. Then the y-intercept is (0, -5).
Plot both points (5/2, 0) and (0, -5). Draw a solid line through them. Shade the area BELOW this line.
How many solutions does this equation have?
–2 − 10z = –4 − 10z
Answer:
No solutions
Step-by-step explanation:
To find out how many solutions there are you must solve:
- 2 - 10z = - 4 - 10z
Add 10z to both sides:
-2 = -4
Since the two terms are different from one another, that means that there are no solutions for this equation.
63x−8≤23 OR −4x+26≥6
Answer:
63x-8<23
63x<23+8
63x < 31
63. 63
x < 0.492
On a test, Robert has been presented with 15 vocabulary words and 15 definitions. He is being asked to match each vocabulary word to appropriate definition. How many different ways are there for Robert to do the matching?
Answer:
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Step-by-step explanation:
It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Because the first vocab has 15 definitions to match
the second then be left with 14 definitions ( cause the first one match with 1 def already
the third has 13 definition
so on ...
hope this help
Answer:
15! ways
Step-by-step explanation:
15! =1.307 × 10¹²
For the first word, he has 15 options
For the second word, 14 options
.
.
.
For the last word, 1 option
Total possibilities:
15 × 14 × 13 × 12 × ...... × 1 = 15!
Please help. I also will post another question I need help with. Thank you if you help.
Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
