Let's take a look through each of the potential options and see whether they meet our requirements:A. g(7) = -1We're told at the beginning of the problem that our domain is restricted to the range [-20, 5]. Our input here, x = 7, is out of that range, which means it's not in the domain and can't be true for the function g.B. g(-13) = 20Unlike 7, -13 is in the domain of g since it's between -20 and 5. 20 is also in g's range, since it's between -5 and 45. B could be true for g. We have our answer at this point, but I'll point out why the other two are false, too.C. g(0) = 2We know from the question that g(0) = -2, so this is clearly false.D. g(-4) = -11-11 is less that -5, which means it lies outside the range of g.
$12.60 for three t-shirts
Answer:
I assume you're asking the price of one t-shirt, which would be $4.20.
Step-by-step explanation:
Answer:
1 t-shirt=$4.20
Step-by-step explanation:
12.60 divided by 3 is $4.20
Olivia collect square pieces of cloth to make a quilt. She keeps the square pieces of cloth in a craft box. She has 18 purple squares ,34 green squares, 14 white squares, 26 blue squares, and 8 black squares. She selects one square at random and returns it to the craft box then she selects a second Square, at random what is the probability that the first Square selected is white and the second Square select it is purple
Answer:
\(P(White\ and\ Purple) = 2.52\%\)
Step-by-step explanation:
Given
\(Purple = 18\) \(Green = 34\) \(White = 14\)
\(Blue = 26\) \(Black = 8\)
Required
Probability of first selecting white and then selecting purple
The total boxes is:
\(Total = 18+34+14+26+8\)
\(Total = 100\)
The probability is represented as:
\(P(White\ and\ Purple)\)
And the solution is:
\(P(White\ and\ Purple) = P(White) * P(Purple)\)
\(P(White\ and\ Purple) = \frac{n(White)}{Total} * \frac{n(Purple)}{Total}\)
\(P(White\ and\ Purple) = \frac{14}{100} * \frac{18}{100}\)
\(P(White\ and\ Purple) = \frac{14*18}{100*100}\)
\(P(White\ and\ Purple) = \frac{252}{10000}\)
\(P(White\ and\ Purple) = 0.0252\)
or
\(P(White\ and\ Purple) = 2.52\%\)
Carrie has 3gallons of paint Bryan has 10quarts of paint how many more pints do Carrie have than Bryan
Carrie has 4 more pints of paint than Bryan.
Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.
To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.
Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.
Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.
To find the difference, we subtract Bryan's pint quantity from Carrie's:
24 - 20 = 4 pints.
Therefore, Carrie has 4 more pints of paint than Bryan.
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please help me! math stuff
Answer:
C.
Step-by-step explanation:
64+56=120
189-120=C. $69
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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If 3250 was increased by 46%
Answer:
4745
Step-by-step explanation:
Answer: 4745
Step-by-step explanation:
3250 = 100%
Percent Increase = +46%
46% of 3250 = 1495
3250 (100%) + 1495 (46%) = 4745
find the erea of the trapezoid.
Answer:
36
Step-by-step explanation:
A (base) 6
B (Base) 12
H (height) 4
In which quadrant would you find the graph of (-5, -6)?
O AT
O B) ||
O C) IUI
O D) IV
Answer:
Third quadrant
Step-by-step explanation:
To count quadrants, you do it counter-clockwise, so, since the point is in the (negative, negative) quadrant, it is the third one
Five angles in a hexagon are 120, 115, 125, 95,
and 102. What is the measure of the sixth
angle?
what is statistics?
Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
What is Data?This is referred to as information that has been translated into a form that is efficient for movement or processing.
Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.
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a floor that is 15 15 feet by 12 feet is being covered by tiles that are 1.5 feet by 1.5 feet. which is the best represents the number of tiles that will be needed
The best representation of the number of tiles that will be needed to cover the Floor is 80 tiles.
The number of tiles needed to cover the floor, we can calculate the total area of the floor and divide it by the area of each tile.
The area of the floor is given by the product of its length and width: 15 feet * 12 feet = 180 square feet.
The area of each tile is given by the product of its length and width: 1.5 feet * 1.5 feet = 2.25 square feet.
To find the number of tiles needed, we divide the total area of the floor by the area of each tile:
Number of tiles = (Total area of the floor) / (Area of each tile) = 180 square feet / 2.25 square feet = 80 tiles.
therefore, the best representation of the number of tiles that will be needed to cover the floor is 80 tiles.
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Lucy spent $3.60 for stamps to mail packages. Some were 30¢ stamps and the rest were 20¢ stamps. The number of 20¢ stamps was 2 less than the number of 30¢ stamps. How many stamps of each kind did Lucy buy?
Lucy bought six \(20\)- and eight \(30\)-cent stamps.
What does brought mean in a sentence?I brought some food for you to eat. Both of them agreed that the topic had come to an end and didn't bring it up again that evening. Her arms got goosebumps from the memories. Language-related misunderstandings have frequently resulted in war.
How are purchased and bought used?As you can see, bought seems to be the past tense or past tense of the word buy, which denotes receiving something in return for money. We use acquired with the present perfect, past perfect, and present simple tenses.
Let,
\(x = 20\) cent stamps
\(y = 30\) cent stamps
According to given statement;
\(20x+30y=360\) Eqn 1
\(x = y-2\) Eqn 2
Putting value of \(x\) from Eqn 2 in Eqn 1
\(20(y-2)+30y=360\)
\(20y-40+30y=360\)
\(50y=360+40\)
\(50y=400\)
Dividing both sides by \(50\)
\(\frac{50y}{50}=\frac{400}{50}\)
\(y=8\)
Putting \(y=8\) in Eqn 2
\(x=8-2\)
\(x=6\)
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X-8-3X-10
Use distributive property
Answer:
5x-10
Step-by-step explanation:
8x-3x-10
first you subtract 3from 8 and get 5 just add the x so your left with 10
Answer:
-2(x+9)
Step-by-step explanation:
x-8-3x-10
-4x-18
-2(x+9)
Hope it helps you
Point K is located at ( 1 , 2 ) on the following coordinate plane. A square that has a perimeter of 20 units will be drawn so that K is one vertex of the square. Which three ordered pairs could represent the location of another vertex of the square? Select the three correct answers.
Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).
To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.
One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.
Using the distance formula, we get:
\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5
Simplifying and squaring both sides, we get:
(x-1)^2 + (y-2)^2 = 25
Expanding the left side and simplifying, we get:
\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0
Completing the square for x and y, we get:
\((x-1)^{2}\) + \((y-1)^{2}\) = \(6^{2}\)
This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.
Using this method, we can find several possible locations of the other vertices of the square. Three of them are:
(7, 2), (-5, 2), (1, 8)
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Given sinz = -4/5 for pi < z < (3pi)/2, find the value of cosz.
The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.
According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.
The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:
Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25
Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.
So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.
Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
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Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. For example, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).
a. Determine a sample space for this experiment.
b. Determine the event that the total number of heads is even.
Answer:
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
B.)
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
Step-by-step explanation:
Sample space :
Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
Event that the total number of head is even:
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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20. Given circle C with radius r and circle D with radius
s, what is an appropriate first step when proving
circle C is similar to circle D?
O A. Transform circle C with a dilation that has center
Cand scale factors.
B. Transform circle C with a dilation that has center
C and scale factor r.
O C. Transform circle C with the translation that maps
point Conto point D.
OD. Transform circle C with the translation that maps
point onto point C.
Answer:
A. Transform circle C with a dilation that has center C and scale factor s.
Step-by-step explanation:
Given
Circle C
\(radius = r\)
Circle D
\(radius = s\)
Required
Map C to D
From the question, we can assume that:
\(r \ne s\)
This implies that options c and d are false because when an object is translated from one point to another, the size of the object remains unchanged.
To map C onto D,
1) C has to be dilated from its own center C
2) The scale of dilation will be equal to the radius of D (i.e. s)
Hence, (A) is correct
Answer:
It's C
Transform circle C with the translation that maps point Conto point D.
1. Use the given graph. Determine the period of the function. (1 point)
10
-2.5
OOOO
8
Answer:
4 a
Step-by-step explanation:
trust
U7 L1 Exploring Periodic Data: Multiple Choice:
1. Use the given graph. Determine the period of the function. (1 point)
a) 42. Determine whether the function is periodic. If it is, find the period. (1 point)
a) periodic; about 63. Determine whether the function is periodic. If it is, find the period. (1 point)
b) not periodic4. Find the period and the amplitude of the periodic function. (1 point)
c) 2; 0.55. The screen below shows the graph of a sound recorded on an oscilloscope. What are the period and the amplitude? (Each unit on the t-axis equals 0.01 seconds.) (1 point)
a) 0.05 seconds; 4.5I just took the test, 5/5 (100%)
Please help me with this problem thank you!
Answer:
the awnser is or I'm 4th grade
Need help asap please and thank you
Answer:
y=\(\frac{1}{2}\)x+1
Step-by-step explanation:
y=mx+b
m is the slope of the line, which you find by counting the rise over run between two points. In this case its up one, and right two, or \(\frac{1}{2}\).
b is the y intercept, or where the line crosses the y axis
A store sells a 114 pound package of turkey for $9.
What is the unit price of the turkey in the package?
Answer:
Each pound of turkey in the package cost 7.20 dollars.
Step-by-step explanation:
If you wanted a explanation then comment
Answer:
$7.20
Step-by-step explanation:
The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!
A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?
Answer:
20%
Step-by-step explanation:
4+3+7=14
14÷7=2
2×10=20
If I am wrong please tell me I haven't had to do this me method in 3 years
plz help brainiest to whoever right
Answer:
X=11
m<wxz= 23
Step-by-step explanation:
hope this helps branliest please
Estimate 15.949-7.69 by first rounding each number to the nearest tenth.
Answer:
8
Step-by-step explanation:
15.949 can be rounded to 16
7.69 can be rounded to 8
16 - 8 = 8
What are the subsets of real numbers -7
The subsets of real numbers are known as:
rational numbers (decimals that don't repeat)irrational numbers (decimals that repeat)integers (a number that isn't a fraction)whole numbersnatural numbers (a positive number)Best of Luck!
Marc is watering his herb garden. He has 4 pails of water. He needs 1/6 of a pail to water each plant. How many plants can Marc water?
Answer:
24 pails of water
Step-by-step explanation:
4 times 6
3. If m 2 = 98°, mz3 = 23° and mZ8 = 70°, find each measure.
11
2
6
7
8
a. mZ1 =
d. m26=
g. mZ10 =
b. mZ4 =
e. m27 =
3
4
f. m29 =
9
C. mZ5 =
10
Answer:
a. m<1=82
b. m<4= 59
c. m< 5= 98
d. m<6=51
e. m<7= 59
f. m<9=51
g. m<10=129
Evaluating anIf the rate of inflation is 2.8% per year, the future price p (t)number of years from today.p(t) = 400(1.028)^tFind the price of the item 4 years from today and 8 years fromRound your answers to the nearest dollar as necessary.Price 4 years from today: LT
p(t) = 400(1.028)^t
To find the price of the item 4 years from today simply replace x =4
p(4) = 400(1.028)^4 = 446.71 = $447
For 8 years:
p(8) = 400(1.028)^8=498.89 =$499
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
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Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3