The initial directions are in the pic below. I have to send an additional pic with the choices. All wouldn’t fit.
Answers
Recall that a translation of n units to the left and m units down transforms the point (x,y) as follows:
[tex](x-n,y-m)\text{.}[/tex]Therefore the given transformation is as follows:
[tex](x,y)\rightarrow(x-4,y-3).[/tex]Answer: Second option.
Related Questions
Galaxy A has 8 × 10^8 stars. Galaxy B has 6 x 10^10 stars. Choose which galaxy has more stars. Then fill in the blank with a number written in standard notation.
Answers
Given:
Galaxy A has 8 × 10^8 stars. Galaxy B has 6 x 10^10 stars.
We will write the numbers multiplied by ten raised to the same exponent
so,
[tex]\begin{gathered} 8\times10^8=8\times10^8 \\ 6\times10^{10}=6\times100\times10^8=600\times10^8 \end{gathered}[/tex]now, we will compare the numbers: 8 and 600
It is clear 600 is greater than 8
so, the answer will be option Galaxy B
Divide the number of stars of B by A
So,
[tex]\frac{6\times10^{10}}{8\times10^8}=\frac{600\times10^8}{8\times10^8}=\frac{600}{8}=75[/tex]
Galaxy B has 75 times as many stars as Galaxy A
please help I've been trying to get this for a really long time thank you
Answers
Let:
[tex]\begin{gathered} x=2y+2_{\text{ }}(1) \\ -3x+6y=-6_{\text{ }}(2) \end{gathered}[/tex]Replace the value of x into (2)
[tex]\begin{gathered} -3(2y+2)+6y=-6 \\ -6y-6+6y=-6 \\ -6y+6y=6-6 \\ 0=0 \end{gathered}[/tex]Therefore, the system has infinitely many solutions
Which is a counterexample to the statement?If a number is even, then the number is greater than 10.O 7O 8O 13O 16Is the answer 16?
Answers
Answer:
The counterexample to the statement is 8
Explanation:
A counterexample is an example that opposes or contradicts a given theory.
For the given theory;
"If a number is even, then the number is greater than 10."
We all know that not all even numbers are greater than 10.
So, a counterexample is an example from the options that will disprove the theory. That is an option that is an even number but is not greater than 10.
From the options, Only 8 is an even number that is not greater than 10.
Therefore;
The counterexample to the statement is 8
Salma has completed 22 deliveries so far this week. She needs to make 55 deliveries for the week. What percentage of her deliveries has Salma completed?
Answers
The number of deliveries completed by Salma = 22.
Total deliveries to be completed = 55.
Percentage of delivery is calculated as,
[tex]\begin{gathered} \text{Percentage of delivery = }\frac{22}{55}\times100. \\ \text{Percentage of delivery = 20 \%} \end{gathered}[/tex]Thus the percentage of delivery completed is 20%.
A line passes through (2, (2, – 1) and (4, 5) . Which answer is the equation of the line? 0-3x + 5y = 13 6 -3x + y = 17 0-3x + 5y = -13 0-3x + y = -7
Answers
A line passes through
(2, -1) and (4, 5)
We can say, given:
[tex]\begin{gathered} (x_1,y_1)=(2,-1) \\ \text{and} \\ (x_2,y_2)=(4,5) \end{gathered}[/tex]The equation of a line is given as:
[tex]y=mx+b[/tex]Where
m is slope and b is y-intercept
Now, finding the slope using the slope formula:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{5+1}{4-2} \\ m=\frac{6}{2} \\ m=3 \end{gathered}[/tex]So, the equation becomes:
y = 3x + b
Putting a point in (x,y), such as (4,5), we have:
y = 3x + b
5 = 3(4) + b
5 = 12 + b
b = 5 - 12
b = -7
Thus,
equation of the line >>> y = 3x - 7
Re-arranging in standard form >>> -3x + y = -7
Last Answer choice is right.
3 Which of the following is a factual statement about the coordinate plane? А The coordinates of the origin are (1, 1). B It was first conceled by Sir Isaac Newton. C It can only be expressed on graph paper. D It has no edges.
Answers
D
In the graph we just showed the origin, but the plane goes from negative infinite to positive infinite for x and y axis
Explanation
A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called y-axis and a horizontal line called x-axis. These are perpendicular lines that intersect each other at zero, and this point is called the origin
Step 1
A)The coordinates of the origin are (1, 1).
False, the coordinates of the origin are (0,0)
Step 2
B) It was first conceled by Sir Isaac Newton
False, The invention of Cartesian coordinates in the 17th century is given to René Descartes
Step 3
C It can only be expressed on graph paper
False, you can use other drawing tools, a pc for example
Step 4
D It has no edges.
True, in the graph we just showed the origin, but the plane goes from negative infinite to positive infinite for x and y axis
I hope this helps you
a rectangular school gym has a length of [tex]x + 14[/tex]and a width of [tex]x - 20[/tex]which measure does[tex](x + 14)( x - 20)[/tex]represent?
Answers
Given:
Sides of rectangle
x+14
x-20
Required:
To tell which does equation show
Explanation:
Represent (area) is a quantity used to indicate the extent of a surface or plane figure
Required answer:
(area)
What is the surface area for each part of the figure? What is the total surface area of the figure?
Answers
Solution:
Given:
A composite figure showing a square-based pyramid, a square prism, and a cube.
To get the surface area, we find the surface area of each part separately.
For the square-based pyramid,
[tex]\begin{gathered} It\text{ has four triangles and a square base.} \\ \text{The square base is not part of the surface of the whole shape however.} \\ \\ \text{Hence, the area of the pyramid is;} \\ 4\times\text{area of triangle} \\ b=6 \\ h=4 \\ A=\frac{1}{2}bh \\ \text{Hence,} \\ \text{Area}=4\times\frac{1}{2}\times6\times4=48 \\ A=48ft^2 \end{gathered}[/tex]The surface area of the pyramid is 48 square feet.
For the square prism,
It has 6 faces. However, only four are the surface of the composite shape. The other two faces are inside the shape and will not count as a surface.
Hence,
[tex]\begin{gathered} \text{Area of front and back face;} \\ A=l\times b \\ A=20\times6=120 \\ \text{For the two faces;} \\ A=2\times120=240ft^2 \\ \\ \text{Also, the area of the top and bottom face,} \\ A=20\times6=120 \\ \text{For the two faces;} \\ A=2\times120=240ft^2 \\ \\ \text{Hence, the surface area of the square prism is 240+240} \\ =480ft^2 \end{gathered}[/tex]Therefore, the area of the square prism is 480 square feet.
For the cube;
The cube has 6 faces.
However, only 5faces are part of the surface of the composite shape. One face is within the shape.
Hence,
[tex]undefined[/tex]
A teacher wants to buy graph paper and printer paper. The printer paper costs $2 a pack, while the graphing paper cost $3 a pack. She wants to buy at least 7 packs of paper, but wants to spend at most $30. Write a system of inequalities for the situation.
Answers
Given:
A teacher wants to buy graph paper and printer paper.
Let the number of packs of the graph paper = x
And the number of packs of the printer paper = y
The printer paper costs $2 a pack, while the graphing paper cost $3
so, the total cost will be: 2y+3x
She wants to buy at least 7 packs of paper
[tex]x+y\ge7[/tex]And wants to spend at most $30.
[tex]2y+3x\le30[/tex]so, the system of inequalities for the situation will be as follows:
[tex]\begin{gathered} x+y\ge7 \\ 2y+3x\le30 \end{gathered}[/tex]Write an equation in each sentence. Analyze and solve.3. Find three consecutive integers whose sum is 99. Find the integers.
Answers
Given that the Sum of three consecutive integers is:
[tex]99[/tex]Let be:
- The first integer:
[tex]n[/tex]- The second integer:
[tex]n+1[/tex]- And the third integer:
[tex]n+2[/tex]By definition, the Sum is the result of an Addition.
Therefore, in this case, you can set up the following equation:
[tex]n+(n+1)+(n+2)=99[/tex]When you solve for "n", you get:
[tex]n+n+1+n+2=99[/tex][tex]3n+3=99[/tex][tex]3n=99-3[/tex][tex]3n=96[/tex][tex]\begin{gathered} n=\frac{96}{3} \\ \\ n=32 \end{gathered}[/tex]Now that you know that first integer, you can determine that the other consecutive integers are:
[tex]n+1=32+1=33[/tex][tex]n+2=32+2=34[/tex]Hence, the answer is:
[tex]\begin{gathered} 32 \\ 33 \\ 34 \end{gathered}[/tex]Solving the linear equations variable on one side
Answers
The pick up fee is $2.50.
After each mile, $1.95 is added.
That is, after the first mile, we have;
[tex]\begin{gathered} \text{Fe}e=\text{ 2.50 + 1.95(1)} \\ \text{After the second mile, we have;} \\ Fee=\text{ 2.50+1.95(2)} \end{gathered}[/tex]Isaac total charge = $27.46;
Generally, let the number of miles driven by the taxi be x, then we have;
[tex]1.95x+2.50=27.46[/tex]Solving for the number of miles Isaac travelled, we have;
[tex]\begin{gathered} 1.95x=27.46-2.50 \\ 1.95x=24.96 \\ x=\frac{24.96}{1.95} \\ x=12.8\text{miles} \end{gathered}[/tex]CORRECT OPTION:
[tex]1.95x+2.50=27.46;\text{ Isaac traveled 12.8 miles.}[/tex]What is a slope in math?
Answers
When comparing the variation between a variable and a result, the slope gives the relationship between the changes in both quantities.
It is mathematically defined as
[tex]\text{Slope = }\frac{Change\text{ in y}}{\text{Change in x}}\text{ = }\frac{\Delta y}{\Delta x}[/tex]can you please help me
Answers
The number of outfits can be determined from the fundamental principle of counting as,
[tex]\begin{gathered} \text{Number of outfits=Number of shirts}\times Number\text{ of shorts}\times Number\text{ of pair of socks} \\ =5\times4\times6 \\ =120 \end{gathered}[/tex]Thus, option (B) is the correct solution.
What is the slope of the line?
Answers
Two points on the line are (3,0) and (0,-4.5)
The slope m of a line
= (y2 - y1)/(x2 - x1)
= (-4.5 - 0)/(0 - 3)
= -4.5/-3
= 1.5
The slope is 1.5
1. It takes Keimon 36 minutes to ride his car 28 miles. At this rate, how longwill it take him to ride 38 miles? (YOUR ANSWER MUST BE IN HOURS)
Answers
it is given keimon travels 28 miles in 36 minutes
so its speed is = distance/ time
= 28 / 36
= 7/9 miles per minute
the time to travel 38 miles will be = distance/ speed
[tex]=\frac{38}{\frac{7}{9}}=\frac{38\times9}{7}=\frac{342}{7}[/tex]so the time is 342/7 minutes
now we will convert it into hours
60 minutes = 1 hours
1 minute = 1/60 hours
342/7 minutes =
[tex]\begin{gathered} =\frac{1}{60}\times\frac{342}{7} \\ =0.81 \end{gathered}[/tex]it will take 0.81 hours to ride 38 miles.
Hello! I was wondering if if you could solve this becuseI I just want to check my work because I already did it and I want to be sure it's right.
Answers
Explanation
[tex]\begin{gathered} \frac{2p^5+6p^3}{2p} \\ \end{gathered}[/tex]Step 1
factorize the numerator
[tex]\begin{gathered} \frac{2p^5+6p^3}{2p}=\frac{2p^5+2\cdot3p^3}{2p} \\ \frac{2p^5+6p^3}{2p}=\frac{2p^{4+1}+2\cdot3p^{2+1}}{2p} \\ \frac{2p^5+6p^3}{2p}=\frac{2pp^4+2p\cdot3p^2}{2p} \\ \frac{2p^5+6p^3}{2p}=\frac{2p(p^4+3p^2)}{2p} \end{gathered}[/tex]Step 2
the 2p in the numerator cancels the 2p in the denominator,so
[tex]\begin{gathered} \frac{2p(p^4+3p^2)}{2p}=p^4+3p^2 \\ \\ p^4+3p^2 \end{gathered}[/tex]I hope this helps you
Use the table below to answer questions:What is the probability of randomly selecting a junior given that the student prefers non-sport activities? What is the probability of randomly selecting a sophomore who prefers sports?
Answers
A. Probability of selecting a Junior given that the student prefers non-sport activities:
[tex]\begin{gathered} P(Junior\lvert Non-sport)=\frac{#Junior\text{ }non-sport}{#non-sport} \\ \\ P(Junior\lvert Non-sport)=\frac{421}{1621}=0.2597 \end{gathered}[/tex]The probability of randomly selecting a Junior given that the student prefers non-sport activities is 0.2597 (25.97% approximately 26%)B. Probability of selecting a sophomore who prefers sports:
[tex]\begin{gathered} P(Sophomore\text{ }sports)=\frac{#sophomoresports}{#students} \\ \\ P(Sophomore\text{ }sports)=\frac{245}{2540}=0.0965 \end{gathered}[/tex]The probability of randomly selecting a sophomore who prefers sports is 0.0965 (9.65%)The slope of a line and one point on the line are given . Write the equation of the line in slope-intercept form. (Hint: it may be helpful to first write it in point slope form y-y1=m(x-x1) and then convert it to the slope intercept form)
Answers
Using the slope-point formula for the equation of a line we get:
[tex]y-1=-\frac{1}{2}(x-(-4))\text{.}[/tex]Taking the above equation to its slope-intercept form we get:
[tex]\begin{gathered} y-1=-\frac{1}{2}(x+4), \\ y-1=-\frac{1}{2}x-\frac{4}{2}, \\ y-1=-\frac{1}{2}x-2, \\ y=-\frac{1}{2}x-1. \end{gathered}[/tex]Answer:
[tex]y=-\frac{1}{2}x-1.[/tex]Can anyone help me with number 5 simplifying negative square roots
Answers
Is Figure B a scale copy of Figure A? berhentian 6 2. 8 3 4 2 1 6 3 Figure A Figure B
Answers
If two figures are scale copies of each other, then the corresponding sides should have the same ratio.
Find the quotient of the sides of figure A to the corresponding sides of figure B. If they all have the same ratio, then figure B is a scale copy of figure A:
[tex]\begin{gathered} \frac{8}{4}=2 \\ \frac{4}{2}=2 \\ \frac{6}{3}=2 \\ \frac{2}{1}=2 \\ \frac{6}{3}=2 \end{gathered}[/tex]Since all the ratios are equal to 2, the answer is:
[tex]\text{Yes. Figure B is a scale copy of figure A.}[/tex]Find the unknown number in the proportion. Reduce your answer to lowest terms. 3/n = 9/11/8
Answers
we can re-write the right-hand side
That is;
[tex]\frac{3}{n}=9\times\frac{8}{11}[/tex][tex]\frac{3}{n}=\frac{72}{11}[/tex]cross-multiply
[tex]72\times n=3\times11[/tex]72 n = 33
Divide both-side of the equation by 72
[tex]\frac{72n}{72}=\frac{33}{72}[/tex][tex]n=\frac{33}{72}[/tex][tex]n=\frac{11}{24}[/tex]write the equation of the line that is perpendicular to the line which has a slope of 3/4 and passes through the point (0, -4)
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define the slopes of perpendicular lines
The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m.
STEP 2: Find the slope of the new line that is perpendicular
[tex]\begin{gathered} slope_1=\frac{3}{4} \\ slope_2=\frac{-1}{\frac{3}{4}}=-1\div\frac{3}{4}=-1\cdot\frac{4}{3}=-\frac{4}{3} \end{gathered}[/tex]Therefore, the slope of the line perpendicular is -4/3
STEP 3: Find the equation of the new line
Using the formula below:
[tex](y-y_1)=m(x-x_1)[/tex]The known values are:
[tex]\begin{gathered} m=-\frac{4}{3} \\ (x_1,y_1)=(0,-4) \end{gathered}[/tex]STEP 4: Find the equation of the line
[tex]\begin{gathered} By\text{ substitution,} \\ (y-(-4))=-\frac{4}{3}(x-0) \\ (y+4)=-\frac{4}{3}x \\ y=-\frac{4}{3}x-4 \end{gathered}[/tex]Hence, the equation of the line is:
[tex]y=-\frac{4}{3}x-4[/tex]There are 24 parents and 8 teachers at a PTO meeting.They are breaking into discussion groups that have 6parents and 2 teachers. How many different groupscan be made?
Answers
Answer:
3,768,688 different ways
Explanation:
The number of ways to select x elements from a group of n elements is calculated as
[tex]\text{nCx}=\frac{n!}{x!(n-x)!}[/tex]In this case, we want to select 6 parents from a group of 24 and select 2 teachers from the 8 teachers, so
[tex]\begin{gathered} 24C6=\frac{24!}{6!(24-6)!}=134596 \\ 8C2=\frac{8!}{2!(8-2)!}=28 \end{gathered}[/tex]Therefore, the groups can be made in 3,768,688 different ways because
24C6 x 8C2 = 134,596 x 28 = 3,768,688
8 teachers into groups of 2:
2,4,6,8 = 4 groups
6 parents into 2 groups, there are 24 parents:
So 6•4=24
Use the approximate doubling time formula for the case described below. Discuss whether the formula is valid for the case described.Gasoline prices are rising at a rate of 0.6% per month. What is their doubling time?
Answers
ANSWER:
EXPLANATION:
Given the rising rate of 0.6% per month, we can go ahead and determine the doubling time as seen below;
[tex]\begin{gathered} P=P_0(1+r)^t \\ \\ \frac{P}{P_0}=(1+0.006)^t \\ \\ 2=1.006^t \\ \\ \ln2=t\ln1.006 \\ \\ t=\frac{\ln2}{\ln1.006} \\ \\ t=115.87\text{ months} \end{gathered}[/tex]what is the value of x?(6x+38)
Answers
--------------------------------------------------------------------------------------------------
[tex]\begin{gathered} 2(4x-55)+2(3x+25)=360 \\ 8x-110+6x+50=360 \\ 14x-60=360 \\ \text{Solve for x:} \\ 14x=420 \\ x=\frac{420}{14} \\ x=30 \end{gathered}[/tex]----------------------------------------------------------------------------------------------
[tex]\begin{gathered} 11x-54=3x+120 \\ 8x=174 \\ x=\frac{174}{8}=21.75 \end{gathered}[/tex]15Find the volume of the following triangular prism. *5 in6.1in13 in7 in215.5 cubic inches220.5 cubic inches225.5 cubic inches227.5 cubic inches
Answers
Volume V = Area of triangle x Height
. = (7x5/2) • 13
. = (17.5) • 13
. = 227.5
Then ANSWER IS
Prism volume V= 227.5 cubic inches
What is the quotient of (xº+3x?-4x-12)-(4+5x+6)?A: X + 2B: X-2C: x + 6D: X-6
Answers
You have the following polynomial of Degree 3:
[tex]x^3+3x^2-4x-12[/tex]And the other polynomial (of Degree 2) is:
[tex]x^2+5x+6[/tex]The Quotient is defined as the result of a Division. Then, you can find it as following:
1. You can express the Division as following:
[tex]=\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]2. Now you can factor the numerator and the denominator:
a. For the numerator:
- Make two groups of two terms using parentheses:
[tex]=(x^3+3x^2)-(4x+12)[/tex]- Factor the Greatest Common Factor out (of each group):
[tex]=x^2(x+3)-4(x+3)[/tex]- Combine the factors together:
[tex]=(x^2-4)(x+3)[/tex]- Since, by definition:
[tex]a^2-b^2=(a+b)(a-b)[/tex]You can simplify it as following:
[tex]=(x-2)(x+2)(x+3)[/tex]b. For the denominator, find two numbers whose sum is 5 and whose product is 6. These would by 3 and 2. Then:
[tex]undefined[/tex]Use substitution in the system of equations. What is the value of x in both equations?A. 3B. -6C. 6D. 2
Answers
Given the following question:
[tex]\begin{gathered} 3x+2y=-12 \\ x=4y-18 \end{gathered}[/tex][tex]\begin{gathered} 3x+2y=-12 \\ x=4y-18 \\ \text{ Substitute x=4y - 18 into the first equation:} \\ 3(4y-18)+2y=-12 \\ 18-4=14y \\ 14y-54=-12 \\ -12+54=42 \\ y=3 \\ \text{ Substitute to find x} \\ x=4\times3-18 \\ 4\times3=12 \\ 12-18=-6 \\ x=-6,y=3 \\ x=-6 \end{gathered}[/tex]Option B is your answer.
Use the given statement to represent a claim. Right it’s compliment and state which is H And H 0 a
Answers
Solution
Use the given statement to represent a claim:
[tex]\mu\ge514[/tex]The alternative hypothesis Ha is the complement of the null hypothesis. It is a statement that must be true if H0 is false and it contains a statement of strict inequality, such as >, ≠, or <
The complement of the claim is less than 514 and opposite to the alternative hypothesis.
[tex]\begin{gathered} H_0=null\text{ hypothesis} \\ H_a=alternative\text{ hypothesis} \end{gathered}[/tex]The null hypothesis is typically abbreviated as H0 and the alternative hypothesis as H1.
H0 is true if and only if H1 is false.
[tex]\begin{gathered} H_0\text{ : }\mu\ge514 \\ H_a\text{ :}\mu<514 \end{gathered}[/tex][tex]\mu<514[/tex]Suppose you won a free ticket to a three-hour Katy Perry concert. At the box office, the ticket would cost $140.00. If you do not go tothe concert, you could instead work on a project for which you are being paid $31.00 per hour.The opportunity cost of going to the Katy Perry concert is $______
Answers
Simply put, opportunity cost is the loss you incur for choosing something because of other alternatives.
Now, if you choose to go to the Katy Perry concert, the ticket costs $140. But you aren't paying because you got it for free!
On the other hand, if you don't go, you can word on a project at $31 per hour for 3 hours, that would give you:
31 * 3 = $93
Thus, you can earn a potential $93 by not going to the concert. If you choose to go to the concert, you are forgoing the potential of earning $93!
Thus, we can say:
The opportunity cost of going to the Katy Perry concert is $93