3.2 x 10^-3 = 0.0032 ( we have to move the decimal point 3 units to the left since the exponent of 10 is -3)
Express all the options in decimal form
2.1 x 10^-3 = 0.0021
4.2 x 10^-4 = 0.00042
5.2 x 10^-2 = 0.052
5.2 x 10^-1= 0.52
0.052 > 0.0032
0.52> 0.0032
So, correct options are:
5.2 x 10^-2
5.2 x 10^-1
What/punch/is the strongest? All ratios listed below are juice concentrate to water. Show
vour work.
A. 2:3?
B. 6:7?
C. 5:7?
D. 10:15?
Answer: Your answer will be D.
10x + 2y = - 12 Find the slope and y-intercept of the line with the equation Om = 6, b= 5 Om=-6, b = -5 O m=-5, b=-6 Om= 5, B = 6
Answer: m = -5 and b = -6
Given that 10x + 2y = -12
The slope - intercept form of equation is written as
y = mx + b
where m = slope and b = intercept
This equation can be re-arrange as
2y = -12 - 10x
2y = -10x - 12
Divide all through by 2
2y/2 = -10x/2 - 12/2
y = -5x - 6
From, y = mx + b
m = -5 and b = -6
There are 300 eighth graders at Wilson Middle School. In the class president election, 192 students voted for Luke, 60 students voted for Alice, and 48 students voted for Chris. What percent of eighth graders voted for Luke?
The percent of eighth graders who voted for Luke is 64 %.
Given that:-
Number of eighth graders who voted for Luke = 192
Number of eighth graders who voted for Alice = 60
Number of eighth graders who voted for Chris = 48
Total number of eighth graders at Wilson Middle School = 300
We have to find the percent of eighth graders who voted for Luke.
We know that:-
Percent of eighth graders who voted for Luke =
(Number of eighth graders who voted for Luke/Total number of eighth graders)*100
Hence, we can write,
Percent of eighth graders who voted for Luke = (192/300)*100 = 64 %
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2A tennis team bought 8 yards of red fabric to make head bands. If each head band takes į of a yard of fabric, howmany head bands can the team make?You would useto solve this problemThe tennis team can make head bands.
headbandThe illustration of the question is shown below
Since a length of 8 yards of the fabric is bought
Using j to represent the number of the head band
To determine the number of headbands that can be made from the fabric, we will simply divide 8 by j
=>
[tex]undefined[/tex]I need help please it’s hard (please explain it well)
Solution:
Given a right right rectangular prism with made of of unit cubes
Note that A unit cube has 6 square faces with each side 1 unit long
Volume of a unit cube = 1 x 1 x 1 = 1 cubic unit
Total unit cubes present = 60 unit cubes.
To find the volume of the prism by whole unit cube:
The volume of the prism with the whole unit cube = volume of 1 unit cube x 60 = 1 x 60 = 60 cubic units
To find the volume with 1/2 unit cube:
If the divide each of the 60 units cubes into half, we will have a total of 120 half unit cubes
Volume of a half unit cube = (Volume of a unit cube) / 2
= 1/2 = 1/2 cubic unit
Thus, The volume of the prism with the half unit cubes = 120 x volume of a half unit cube
= 120 x 1/2 = 60 cubic units
In conclusion, the difference between finding the volume of the prism by whole unit cubes and 1/2 unit cubes is that the that the volume of each 1/2 unit cube will be multiplied by 120 while that of each whole unit cube will be multiplied by 60
The value of gold is always changing. Last year, Max had a 0.2-ounce piece of gold appraised at $148.96. This year he had a 0.24-ouncepiece of gold appraised at $222.84. How much had the price of gold per ounce changed between Max's appraisals?O A. $73.88
The value of gold is always changing. Last year, Max had a 0.2-ounce piece of gold appraised at $148.96. This year he had a 0.24-ounce
piece of gold appraised at $222.84. How much had the price of gold per ounce changed between Max's appraisals?
O A. $73.88
last year
w=0.2 ounces
price= $148.96
this year
w=0.24 ounces
price=$222.84
Let's find the price per ounce for the last year
[tex]\begin{gathered} w=0.2\text{ ounces} \\ \text{price}=148.96 \\ \text{price per ounce=}\frac{148.96}{0.2}=744.8\text{ per ounce} \\ \end{gathered}[/tex]Now for this year
[tex]\begin{gathered} w=0.24\text{ ounces} \\ \text{price}=222.84 \\ \text{the price per ounce is=}\frac{222.84}{0.24}=928.5\text{ per ounce} \end{gathered}[/tex]Now, the change
[tex]\begin{gathered} \text{change =final pric- initial price} \\ \text{change}=928.5\text{ \$/ounce -744.8 per ounce} \\ \text{change}=183.7\text{ \$/ounce} \end{gathered}[/tex]so the answer is $183.7
Jake and Mia sold muffins at the bake sale. Jake collected $38 for selling a number of chocolate and blueberry muffins, while Mia collected $20 for selling
the same type of muffins. The following system of equations represents the scenario where is the price of a chocolate muffin and y is the price of a
blueberry muffin. What does the coefficient 3 represent?
(No Calculator)
8x+3y=38
2x+6y=20
Answer:
The number of blueberry muffins Jake sold.
Step-by-step explanation:
Since Jake sold $38 of muffins, we know that 3 pertains to Jake.
Y is the price of a blueberry muffin, so 3 must be how many blueberry muffins were sold.
The question is on the paper, please help
The distribution is normal with u=0.261 and u= 0.034, hence N(0.261, 0.034).
a) Draw a normal density curve for the batting average distribution. The typical derivation of the mean uses label points 1, 2, and 3.
b) Average above 0.329 are
100% - 95% = 5%
B/C its symmetric, 5%/2= 2.5%
c) The batting averages between 0.227 and 0.295 are 68%
Alternative method,
The normal distribution is used to determine that X% of players are in danger.
What is the Normal Distribution of Probabilities?The z-score formula can be used to resolve issues related to normal distributions.
The Z-score quantifies the deviation of the statistic from the mean in standard deviations. The p-value for this Z-score is then located by consulting the z-score table after the Z-score has been determined. The risk that the measure's value is below X, or the percentile of X, is given by this p-value. The likelihood that the value of the measure is higher than X is obtained by deducting 1 from the p-value.
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15.) In the accompanying diagram, ABC is a straight line and
BE bisects 4DBC. If m4ABD = 2x and m4DBE = 2x + 15,
find m4ABD.
I need help on this question I need the answer only :)
Step 1
Given;
Step 2
[tex]\sqrt[3]{48y^4}=2y\sqrt[3]{6y}[/tex][tex]\begin{gathered} 14(2y\sqrt[3]{6y})=28y(\sqrt[3]{6y}) \\ 17y(\sqrt[3]{6y}) \end{gathered}[/tex]Thus;
[tex]17y(\sqrt[3]{6y})-28y(\sqrt[3]{6y})=-11y(\sqrt[3]{6y)}[/tex]Answer;
find the real solutions of 9-l2xl=2
Answer
x = -7/2, 7/2
Step-by-step explanation
Given the equation:
[tex]9-|2x|=2[/tex]Subtracting 9 at both sides of the equation:
[tex]\begin{gathered} 9-9-\lvert2x\rvert=2-9 \\ -\lvert2x\rvert=-7 \end{gathered}[/tex]Dividing by -1 at both sides of the equation:
[tex]\begin{gathered} \frac{-\lvert2x\rvert}{-1}=\frac{-7}{-1} \\ |2x|=7 \end{gathered}[/tex]Now we have two options:
[tex]\begin{gathered} 2x=7 \\ \text{ Or} \\ 2x=-7 \end{gathered}[/tex]Solving the first option:
[tex]\begin{gathered} 2x_1=7 \\ \frac{2x_1}{2}=\frac{7}{2} \\ x_1=\frac{7}{2} \end{gathered}[/tex]Solving the second option:
[tex]\begin{gathered} 2x_2=-7 \\ \frac{2x_2}{2}=\frac{-7}{2} \\ x_2=-\frac{7}{2} \end{gathered}[/tex]in NPQ, U is the centroid. If PU=24 find UT
The length of UT is 12
Generally, the property of the centroid is that it is at a point that splits the length of the median into a ratio of 1 to 2
What this mean in this case is that if we look at the centroid U, it splits PT into PU and UT which are in the ratio of 2 to 1
Hence, from the above, we can deduce that UT is exactly half of PU
Thus;
[tex]\begin{gathered} UT\text{ = }\frac{1}{2}\times PU \\ \\ UT\text{ = }\frac{1}{2}\times24 \\ \\ UT\text{ = 12} \end{gathered}[/tex]Do (-6) raised to -4 power equal -6 to the -4 power
Yes. (-6) raised to -4 power equal -6 to the -4 power
What is exponentiation ?
Exponentiation is a mathematical operation, written as [tex]b^{n}[/tex], involving two numbers, the base b and the power n it is read as b raised to n.
We have asked that whether [tex](-6)^{-4}[/tex] is equal to [tex]-6^{-4}[/tex]
Now we solve both the sides to show that they are equal
[tex](-6)^{-4}=(\frac{-1}{6} )^{4}[/tex]
Now for the right hand side
[tex]-6^{-4} =\frac{-1}{6} ^{-4}[/tex]
Both the values are same
Hence, Yes. (-6) raised to -4 power equal -6 to the -4 power
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help me pleasee!!
thank you
The cost of manufacturing C(x) = 2658 in a day is $2658
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, it is given from the part A of solution :
the linear function that models the situation is C(x) = 75x + 1908
Now, for cost of manufacturing C(x) = 2658 the value of x will be :
C(x) = 75x + 1908
2658 = 75x + 1908
75x = 2658-1908
75x = 750
x = 10
Therefore, the cost of manufacturing C(x) = 2658 in a day is $2658
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Select the values that make the inequality t < -3 true.
(Numbers written in order from least to greatest going across.)
The order from least to greatest to satisfy the inequality t < -3 is (-∞, -2).
What is called the inequality?Inequality is just a mathematical statement which uses the inequality symbol to show the relationship between two expressions. Both sides of the an inequality sign have different expressions. It implies that expression on the left should be greater or smaller than expression on the right, or vice versa.For the given question,
The inequality is given as;
t < -3
For the inequality to be true the value of 't' must be less than -3.
Thus, the values will range between.
(-∞, -2)
Where, -∞ represents the least value and -2 shows the greatest value for 't'.
Thus, the order from least to greatest to satisfy the inequality t < -3 is (-∞, -2).
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What is 2x1/5
PLEASE HELP ASAP
Answer:
2/5
Step-by-step explanation:
2 can also be written in fraction form as 2/1
So, you have 2/1 times 1/5. So, you multiply numerators and you multiply denominators.
Numerators: 2 times 1 =2
Denominators: 1 times 5 =5
So, you have 2/5
15,60, 240, fine the 6th term
Notice that the sequence has a common ratio of 4:
[tex]\begin{gathered} 15\times4=60 \\ 60\times4=240 \end{gathered}[/tex]The n-th term of a sequence with first term equal to a and common ratio r is:
[tex]a\cdot r^{n-1}[/tex]The first term of this sequence is 15 and the common ratio is 4, then the nth term is:
[tex]15\cdot4^{n-1}[/tex]Substitute n=6 to find the 6th term:
[tex]15\cdot4^{6-1}=15\cdot4^5=15\cdot1024=15,360[/tex]Therefore, the 6th term of the sequence, is:
[tex]15,360[/tex]brian spent 14$ on fruit at the grocery store. He spent a total of 35$ at the store. What percent of the total did he spend on fruit?
In the function, the slope will be multiplied by 1/2, and the y-value of the y-intercept will be increased by 3 units. Which of the following graphs best represents the new function?
Answer
Option Y is correct.
Explanation
We are told that the slope is multiplied by (1/2) and the y-intercept is increased by 3 units.
The original graph has a y-intercept (point where the graph crosses the y-axis) at point y = 1. Adding 3 units to that, changes the y-intercept to y = 4.
And that leaves options X and Y as viable answers.
But the original graph is positive sloping, and multiplying the slope by (1/2) only spreads the graph out more along the y-axis, it doesn't change the direction of the graph like option X has been changed to be negative sloping. This would only happen if the slope was multiplied by a negative number.
So, this leaves us with only Option Y as the viable answer.
And to be absolutely sure, we can go further and calculate the slope of the original graph and the graph in option Y.
For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]For the original question,
(x₁, y₁) and (x₂, y₂) are (0, 1) and (-1, -1)
[tex]\text{Slope = }\frac{-1-1}{-1-0}=\frac{-2}{-1}=2[/tex]For the option Y,
(x₁, y₁) and (x₂, y₂) are (0, 4) and (-1, 3)
[tex]\text{Slope = }\frac{3-4}{-1-0}=\frac{-1}{-1}=1[/tex]1 is indeed half of 2. This confrims our answer.
Hope this Helps!!!
Write and solve an equation to answer the question. A truck rental is $20 plus $.30/mi. Find out how many miles Ken traveled if his bill was $41.30. Ken traveled_____ miles.
As given by the question
There are given that the truck rent is $20 plus $0.30 per mile.
Now,
The equation of the given statement is shown below:
[tex]20+0.30x=41.30[/tex]Then,
From the given equation, solve for the value of x
So,
[tex]undefined[/tex]x+y=8you can find more solutions by replacing x with other values and then solving for y for example let x = 6. what is y?
Given
[tex]x+y=8[/tex]Set x=6; then,
[tex]\begin{gathered} x=6 \\ \Rightarrow6+y=8 \\ \Rightarrow y=8-6 \\ \Rightarrow y=2 \end{gathered}[/tex]If x=6, y=2
I will show you the pic
Problem:
Solution:
Remember that the slope-intercept form of the line is given by the formula
y = mx+b
where m is the slope of the line, and b is the y-intercept of the line (when x = 0). Now, let the following equation:
-4x+2y= 8
to rewrite it in the form slope-intercept form (y = mx+b), then we should solve the given equation for y, that is:
2y = 4x +8
If we divide by two we obtain the equivalent:
y = 2x + 4
then 2 is the slope of the line and (0,4) is the y-intercept. Then, we can conclude that the graph of this line is:
find the product 6000×50
The product of 6000 and 50 can be found below
68,74,66,78,72,80,74
which best describes what 74 represents in this data set?
1)mean and mode
2)mode only
3)median and mode
4)median only
74 is the median and mode of the data set, that is, option 3.
Here, we are given a set of observations- 68, 74, 66, 78, 72, 80, 74
Mean = sum of all observations/ number of observations
Thus, the mean of the data is-
Mean = (68 + 74 + 66 + 78 + 72 + 80 + 74)/ 7
= 512/ 7
= 73.14
Now, to calculate the median of the data, we arrange it in ascending order-
66, 68, 72, 74, 74, 78, 80
Since, the number of observations are odd, the median will be the (n+1)/2th term.
= (7+1)/2
= 4th term
The 4th term is 74. Thus, the median is 74.
Now, the mode is that observation that appears the maximum number of times.
Here, all the numbers appear only once, except 74 which appears twice. Thus, the mode is 74.
Hence, we find that 74 is the median and mode of the data set, that is, option 3.
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The greatest common factor of 60 and 100
I am trying to make a study guide and I need an explanation on this answer please
Given:
A movies rent for $3.00 except on tuesday, the rent is $0.49.
The cost saved by renting a movie on a Tuesday is,
[tex]\frac{3-0.49}{3}=\frac{2.51}{3}=0.8367[/tex]The percentage is,
[tex]\begin{gathered} 0.8367\times100=83.67\text{ \%}\approx84\text{ \%} \\ \end{gathered}[/tex]Answer: option B)
Question is in picture
Please help me I’m confused
In triangle, value of QS = 12 ft .
What is a triangle answer?
A triangle is a three-sided polygon in geometry with three edges and three vertices. The fact that the internal angles of a triangle add up to 180 degrees is the most crucial aspect of triangles.A triangle is a polygon with three sides. The three vertices that make up its three sides also create its three angles. Any triangle with three vertices is represented below by the symbols A B C: several triangular types: The sides of a scalene triangle are not all the same length.ΔPQR and ΔQSR ,
QS/SR = PO/OS
y/9 = 16/12
12 * y = 16 * 9
y = 16 * 9 /12
y = 12
value of QS = 12ft
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8- 2 (2p-6) = 52-2 ( 1 + 7n ) -5n = -78
usLet u s fully expand the first equation
8 - 4p + 12 =52
simpliying gives
20-4p=52
subtracting 20 from both sides gives
-4p = 32
and finally, dividing both sides by -4 gives
p = 8
For the second equation, expanding LHS gives
-2 - 14
One less than five times a number is 39. Find the number.
Answer: x = 8
5x - 1 = 39
isolate and divide to get x
x = 8
1. The department store’s annual profit from the sale of a certain toy is given by the function 8000 30,000(2) 0.4x y where y is the annual profit in dollars and x denotes the number of years the toy has been on the market. Calculate the store’s annual profit for (a) x = 3 (b) x = 5 (c) x = 15 2. It is estimated that the population P of a certain country is given by the function P(t) 4,000,000(1.02) r where t is the number of years after 1989. If this trend continues, what will the population be 20 years after 1989? 3. The projected population of a city is given by 20 125,000(1.11) t P , where t is the number of years after 1995. What is the projected population in 2015? 4. Suppose $900 is placed in a saving account that earns interest at the rate 4.5% compounded semiannually. (a) What is the value of the account at the end of five years? (b) If the account has earned interest at the rate of 4.5% compounded semiannually, what would be the value after five years?
Part A:
Given 900 dollars
Interest rate = 4.5%
Value at the end of 5 years
900 × 4.5% × 5 = $226.62
900 + 226.62 = 1,126.62
= 1,126.62 after 5 years
Part B: Given 900 dollars is placed in a saving account
interest rate = 4.5% semiannually (which means twice a year)
We need to find the value after 5 years
Since it's semiannually it's twice a year
5 × 2 = 10
900 × 4.5% (interest rate) × 10
900 × 4.5% × 10 = 510.29
510.29 + 900(intital amount) = 1,410.29
= $1,410.29 after 5 years
