Answers
The dilatation inverse direction : scale factor k is negative.
k*12=-3==>k=-3/12=-1/4=-0.25
Answer B
Related Questions
The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. in approximately what year did the same percent of men and women receive bachelor's degrees?
Answers
y=-0.38x+56.6
y=0.38x+43.4
-0.38x+56.6=0.38x+43.4
-0.38x-0.38x=-56.6+43.4
-0.76x=-13.3
x=-13.3/-0.76
x=17.5
y=0.38(17.5)+56.6
y=63.25
Knowing that the initial year was 1968, add 17.5 years to find to find out when the same percent of men and women received a bachelor's degree.
1968+17.5= 1985.5
So, in the year 1985 and half, both men and women got the same number of bachelor's degrees.
Hope I helped :)
Consider the following conditional statement. If a + 1 = b, then b > a. A. Create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is true. In your final answer, include the values of the variables and proof of truth. B. Is it possible to create a pair of values for a and b in which the numerical relationship shown in the given conditional statement is false? Use complete sentences to explain your answer.
Answers
In mathematics, creating values for a and b satisfying a given conditional statement involves fulfilling the logical relationships between the variables. It is impossible to violate the logical connection established by the initial condition of the statement.
A: Let's choose a=2 and b=3. If a+1=b, then 2+1=3, which is true. So, a=2 and b=3 satisfy the given conditional statement.
B: It is not possible to create a pair of values for a and b where the numerical relationship shown in the given conditional statement is false. This is because the statement is a logical consequence of the initial condition a+1=b.
What is the y-intercept of the line represented by the equation
Y=-3x+7
Answers
To find the y- intercept, substitute in 0 for x and solve for y.
Thus,
The y intercept is: (0, 7)
Best of luck!
Write (7 + 3i) + (6 − i) as a complex number in standard form.
Answers
13 + 2i is (7 + 3i) + (6 − i) in standard form.
What are mathematical operations?
The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
To add two complex numbers in standard form, we simply add the real parts and the imaginary parts separately.
(7 + 3i) + (6 − i) = (7 + 6) + (3i − i) = 13 + 2i
Therefore, (7 + 3i) + (6 − i) in standard form is 13 + 2i.
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Seventeen members of Troy's family are going to an amusement park during the week of their family reunion. Adult tickets cost $39.50 each and child tickets cost $31 each. If the total cost for admission to the part is $578, how many adults went to the park?
Answers
So the equation is 39.50x + 31y= 578
So first x has to be number of children and y be number of adults so ; x+y = 17 31x+ 39.50y = 578 x=11 , y=6.
The answer is Y=6.
11 kids. - 11*31= 341
341 + 237 = 578
in a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many females said they watched each type of movie most often.
how many more males said they watched action movies than drama movies
2
4
5
8
Answers
males that watched drama movies : 5
so there are (13 - 5) = 8 more that watched action then drama
Answer:
Option D) 8
Step-by-step explanation:
We are given the following information in the question:
A bar graph is given that shows how many males and how many females said they watched each type of movie most often.
To find:
We have to find that how many males said that they watched action movies than drama movies .
In the bar graph:
Number of action movies watched by males = 13
Number of drama movies watched by males = 5
Number of males males said that they watched action movies than drama movies = 13 - 5 = 8
Males watched 8 action movies more than the drama movies.
Hence, the correct option is D.
The saginaw bay tides vary between 2 feet and 8 feet. the tide is at its lowest point when time (t) is 0 and completes a full cycle in 16 hours. what is the amplitude, period, and midline of a function that would model this periodic phenomenon? amplitude = 3 feet; period = 16 hours; midline: y = 5 amplitude = 3 feet; period = 8 hours; midline: y = 3 amplitude = 6 feet; period = 16 hours; midline: y = 5 amplitude = 6 feet; period = 8 hours; midline: y = 3
Answers
Hope this helps (:
Answer:
Option A
amplitude = 3 feet; period = 16 hours; midline: y = 5 amplitude = 3 feet;
Step-by-step explanation:
Given that The saginaw bay tides vary between 2 feet and 8 feet.
When we correspond these to sine curve we can say minimum 2 ft max 8 ft middle value being 5 ft
Period = 16 hours (since it completes one full cycle in 16 hours_
Amplitude = maximum - middle value or middle value-minimum
=[tex]8-5 = 5-2 = 3 ft[/tex]
Thus the equation would be as[tex]y = 3sin \frac{8}{\pi}+5[/tex]
Thus we find that minimum =2, max =8 middle line y=5
Amplitude = 3 ft and period = 16
Hence option A is right.
secured debts must have?
Answers
they must have a collateral
what is the answer for 5kx+6=7kx solve for x
Answers
2kx=6
x=3/k
All the best
Step 1: Add -7kx to both sides.5kx+6+−7kx=7kx+−7kx−2kx+6=0
Step 2: Add -6 to both sides.−2kx+6+−6=0+−6−2kx=−6
Step 3: Divide both sides by -2k.−2kx−2k=−6−2kx=3/k
In a certain county, the number of charter schools is 10 less than twice the number of alternative schools. We know that there are 46 charter schools in the county. How many alternative schools are in the county?
Answers
x = 28
28 Alternative Schools.
If in one year a city recorded a total of 97 rainy, how many of the days did it not rain?
Answers
1 year = 365 days
365 -97 = 268
it did not rain 268 days
A 3-ounce serving of tuna provides 21 g of protein use equivalent ratios to find how many grams of protein are in 9 ounces of tuna! Explain
Answers
Answer: 63 grams of protein in 9 ounces of tuna
Step-by-step explanation: To find how many grams of protein are in 9 ounces of tuna, we can use equivalent ratios.
We know that a 3-ounce serving of tuna provides 21 grams of protein.
Let's set up a ratio:
3 ounces of tuna: 21 grams of protein
To find out how many grams of protein are in 9 ounces of tuna, we can set up a proportion:
3 ounces of tuna / 21 grams of protein = 9 ounces of tuna / x grams of protein
To solve for x, we can cross-multiply:
(3 ounces of tuna)(x grams of protein) = (9 ounces of tuna)(21 grams of protein)
3x = 189
Dividing both sides of the equation by 3:
x = 63
Therefore, there are 63 grams of protein in 9 ounces of tuna.
Hope this helps have a great day :)!!!!
The starting salaries of individuals with an mba degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000. refer to exhibit 6-4. what is the probability that a randomly selected individual with an mba degree will get a starting salary of at least $30,000
Answers
The probability that a randomly selected individual with an MBA degree will receive a starting salary of at least $30,000, considering the mean salary is $40,000, and standard deviation is $5,000, is approximately 97.72%.
Explanation:The question pertains to the use of the normal distribution in probability, particularly in determining the probability of a randomly selected individual with an MBA degree getting a starting salary of at least $30,000. Given that the mean starting salary is $40,000 and the standard deviation is $5,000, we first need to standardize the salary amount to a z-score using the formula z = (X - μ) / σ. In this context, X refers to the salary amount in question, μ is the mean salary, and σ is the standard deviation.
So, z = (30,000 - 40,000) / 5000 = -2. This means the $30,000 salary is 2 standard deviations below the mean. When we look at the standard z-table, we find that the area to the left of z = -2 is approximately 0.0228. However, because we are looking for the probability of a salary being at least $30,000, we need to consider the area to the right, which is 1 - 0.0228 = 0.9772. So, the probability that a randomly selected MBA graduate will have a starting salary of at least $30,000 is approximately 97.72%.
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Which two segments are a base and its associated altitude of parallelogram QRST?
A. Segment T S is the base, and segment S R is the altitude.
B. Segment Q R is the base, and segment T U is the altitude.
C. Segment T S is the base, and segment T Q is the altitude.
D. Segment Q T is the base, and segment T U is the altitude.
Answers
Answer :- Option B is the right answer "Segment QR is the base, and segment TU is the altitude".
Explanation:-
The altitude or height of a parallelogram is the perpendicular line segment from the base to the opposite side (which may have to be extended) of the parallelogram. In the given figure, we can see that the altitude is TU=18 inches which is perpendicular to the base QR=20 inches.
Thus , option B is the correct answer. Segment QR is the base, and segment TU is the altitude.
Measurement is ___________ when it yields the same values across repeated measurement of the same event.
Answers
The answer is reliable. A measure is assumed to have a high reliability if it yields parallel results under steady conditions. It is the characteristic of a set of test scores that relates to the quantity of accidental or random error from the measurement procedure that might be rooted in the scores. Marks that are highly reliable are precise, reproducible, and constant from one testing time to another. To be exact, if the testing method were to be repeated with a different group of test takers, fundamentally the same results would be gotten.
What is the solution to the system of equations below? 2x - 5y = 11 and -2x + 3y = -9
Answers
y=-1
2(3)-5(-1)=11
6+5=11
-2(3)+3(-1)=-9
-6-3=-9
Can someone please help me with math
Answers
at 2 seconds.....231 * 2 = 462 ft
If you know that two triangles are congruent, you know that any unmarked corresponding parts are also congruent by
Answers
The mean weight of a litter of kittens is 3.1 pounds, with a standard deviation of 0.9 pound. Lawrence wants to know the weight of the kitten he is buying, but the seller only has the z-score of 1.22. How much does the kitten weigh?
Answers
z = (x- mean)/σ
1.22 = (x-3.1)/0.9
(1.22)(0.9) = x -3.1
and x = 4.198 pounds
The weight of kitten is 4.198 pounds
What is z-score?A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units.
Given that, the mean weight of a litter of kittens is 3.1 pounds, with a standard deviation of 0.9 pound, Lawrence wants to know the weight of the kitten he is buying, but the seller only has the z-score of 1.22.
Let x be the weight of the kitten
We know that,
z = (x- mean)/σ
Therefore,
1.22 = (x-3.1)/0.9
(1.22)(0.9) = x -3.1
x = 4.198
Hence, the weight of kitten is 4.198 pounds
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Joanna, Dana and Tracy shared some trail mix. Joanna ate 0.125 pound of trail mix, Dana ate 0.1 pound and Tracy ate 0.12 pound of trail mix. List the friends in order from least to greatest amount of trail mix eaten
Answers
We are given the following values:
0.125 pound
0.1 pound
0.12 pound
All values start with the same number which is 0.1, therefore the 0.1 is the smallest.
Next the two values are followed by 0.12, so 0.12 is the next smaller number.
So the largest number is 0.125.
Arranging from least to greatest amount of trail mix eaten:
Dana, Tracy, Joanna
The initial volume of a gas cylinder is 750.0 ml. if the pressure of a gas inside the cylinder changes from 840.0 mm hg to 360.0 mm hg, what is the final volume the gas occupies?
Answers
Hope this helps.
Answer:
[tex]V_2=1.75L[/tex]
Step-by-step explanation:
Use the Boyle's law which states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. Mathematically this is:
[tex]P_1*V_1=P_2*V_2[/tex] (1)
Where:
[tex]P_1=Initial\hspace{3}pressure\\P_2=Final\hspace{3}pressure\\V_1=Initial\hspace{3}volume\\V_2=Final\hspace{3}volume[/tex]
Before attempting to solve the problem, let's do the pertinent conversions:
[tex]840mmHg*\frac{1torr}{1mmHg} *\frac{1Pa}{133.32torr} =6.3Pa[/tex]
[tex]360mmHg*\frac{1torr}{1mmHg} *\frac{1Pa}{133.32torr} =2.7Pa[/tex]
[tex]750ml*\frac{1L}{1000ml}=0.75L[/tex]
So, we got:
[tex]P_1=6.3Pa\\P_2=2.7Pa\\V_1=0.75L[/tex]
Now, let's isolate [tex]V_2[/tex] from (1) in order to find the final volume:
[tex]V_2=\frac{P_1*V_1}{P_2} \\\\V_2=\frac{6.3*0.75}{2.7} = 1.75L[/tex]
All sides are congruent, opposite sides are parallel, and opposite angles are congruent (but not 90) describes which shape
Answers
What is the domain and range of f(x) = |x + 6|?
domain: (negative infinite,infinite); range: f(x) (greater than or equal to) 0
domain: x (less then or equal to)-6; range: (negative infinite,infinite)
domain: x(greater than or equal to)-6 ; range: (negative infinite,infinite)
domain:(negative infinite,infinite) ; range: f(x) (less than or equal to) 0
Answers
The first choice is the correct one.
Answer:
domain: (negative infinite,infinite); range: f(x) (greater than or equal to [tex]0[/tex]
Step-by-step explanation:
we have
[tex]f\left(x\right)=\left|x+6\right|[/tex]
The vertex of the function is the point [tex](-6,0)[/tex]
The domain is the interval--------> (-∞,∞)
The domain is all real numbers
The range is the interval ------> [0,∞)
[tex]f(x)\geq 0[/tex]
The range is all real numbers greater than or equal to zero
To better understand the problem see the attached figure
Plz Answer ASAP
1.) Danielle pays a car insurance of $126 every three months. Danielle pays her teenage daughter's $342 car insurance twice a year.
How much should Danielle include for car insurance in her monthly budget?
A. $70
B. $88
C. $99
D. $105
2.) Which of the following is a variable expense?
A. Car insurance
B. rent
C. Retirement contribution
D. Home repair
Answers
in month she should pay 342/6=57 for her daughter's car
therefore total amount gone for insurance in one month=42+57=$99
all the best
There are 10 red marbles and 8 green marbles in a jar. if you take three marbles from the jar (without replacement), the probability that they are all red is:
Answers
P(3 Red w/o replacement) = (10/18)(9/17)(8/16)= 0.147
There are 10 red marbles and 8 green marbles in a jar. So, the probability that all three marbles taken from the jar are red is 0.147.
Given :
Number of red marbles = 10
Number of green marbles = 8
Probability is the department of mathematics concerning numerical depictions of how likely the event is to happen or how likely it is that suggestion is genuine. The probability of an event could be number between 0 and 1 , where o shows difficulty of the event and 1 shows certainty.
Total number of marbles in a jar = 10 + 8 = 18
Total number of red marbles in a jar = 10
So, the probability that all three marbles taken from the jar are red is:
[tex]= \dfrac{10}{18}\times\dfrac{9}{17}\times\dfrac{8}{16}[/tex]
[tex]= 0.147[/tex]
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The sum of two numbers is 67. the smaller number is 3 less than the larger number. what are the two numbers?
Answers
The smaller number would be x-3
(x-3)+x=67
2x-3=67
2x=67-3
2x=64
x=64/2
x=32
Therefore the larger number is 32 and the smaller is (32)-3= 29
Hope I helped :)
Find x if et = 3x+2 and em = 5x
Answers
Answer:
x = 6
Step-by-step explanation:
The centroid (T) always splits the lines so one side is 2/3 and the second is 1/3 of the entire median line. This can also be written as 2x + x. That being said, ET isn't equal to EM, it's only equal to 2/3 of EM so that's what you have to write.
3x + 2 = 2/3 * 5x
3x + 2 = 10/3 x
*3 (3x+2) = *3(10/3x)
9x+6 = 10x
-9x -9x
x = 6
The value of x is 6.
TrianglesThe polygon has three sides. the sum of all the internal angles is 180 degrees.
Given
ET = 3x+2
EM = 5x
To findThe value of x.
How to find the value of x?We know that the centroid of triangles divides it into 2:3.
Then
[tex]\begin{aligned} \dfrac{ET}{EM} &= \dfrac{2}{3} \\\\ \dfrac{3x+2}{5x} &= \dfrac{2}{3} \\\\ 3x+2 &= \dfrac{2}{3} * 5x \\\\ 3x+2 &= \dfrac{10x}{3} \\\\ 3x - \dfrac{10x}{3} &=-2\\\\ \dfrac{-x}{3} &= -2 \\\\ x &= 6\end{aligned}[/tex]
Hence the value of x is 6.
Thus the value of x is 6.
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Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.
A) 14.2 feet
B) 17.1 feet
C) 47.6 feet
D) 55.2 feet
Answers
Answer:
its 14.2
Step-by-step explanation:
The sum of 6 times petra's age and 8 times kathy's age is 162. kathy is 1 year more than twice as old as petra is. find each of their ages.
Answers
Let Kathy be "K"
Based on given information, we know that 6 times Petras age (6p) plus 8 times Kathy's age (8k) equals 162.
Our first equation is 6p+8k=162
Now for the second half of the problem:
Kathy is one year older (+1) than twice Petra's age (2p)
Our second equation is k=2p+1
Now substitute the first equation back into the first equation using the value of k
6p+8(2p+1)=162
Solve for P
6p+16p+8=162
22p+8-8=162-8
22p/22=154/22
P=7
Now we substitute Petra's age (7) back into the second equation to find Kathy's age.
K=2(7)+1
Solve for k
K=14+1
K=15
To check, put both k and p values into the first equation:
6(7)+8(15)=162
42+120=162
162=162✔️
ANSWER
Petra is 7 years old
Kathy is 15 years old
parallel lines intersect? true or false
Answers
Hope this helps :) Let me know if there's anything else I can help you with :)