Answer:
C. {0, 1, 2, 3, 4, 5}
Step-by-step explanation:
There are 6 possible outcomes: 0 points (0 questions correct), 20 points (1 question correct), 40 points (2 questions correct), 60 points (3 questions correct), 80 points (4 questions correct) and 100 points (5 questions correct). The number of points is equal to the number of questions answered times 20. The x value can only be equal to the possible number of questions answered correctly: 0, 1, 2, 3, 4, 5.
A is incorrect because it includes negative numbers and decimals. Decimal values aren't possible because no partial credit is given for the questions. Negative numbers are incorrect because you cannot answer negative questions.
B is incorrect because it includes fractions.
D is incorrect because it lists the y values (what 20x is equal to) instead of the x values.
What is the midpoint of PQ
Answer:
Midpoint = (-0.5, 1)
Step-by-step explanation:
Midpoint formula is (x1 + x2)/2, (y1 + y2)
Lets plug that into the formula.
-4 + 3 = -1
x = -1/2 or -0.5
-1 + 3 = 2
2/2 = 1
y = 1
Final Answer: (-0.5, 1) or (-1/2, 1)
Evaluate 1+(-2/3)-(-m) where m =9/2
Answer:
Step-by-step explanation:
1+(-2/3)-(-9/2)\
1-2/3+9/2
29/6
26 Mr Hussain buys 13 kg of onions, 3½ kg of potatoes and
7 kg of cabbage. What total mass does he carry home?
Answer:
23.5kg
Step-by-step explanation:
the total mass of the things he bought is what we are asked to find.
13kg of onions+3.5kg of potatoes+7kg of cabbage is the total mass he carried home.
=23.5kg
Shandra is working two summer jobs, making $9 per hour washing cars and $8 per hour walking dogs. Last week Shandra worked a total of 11 hours and earned a total of $90. Write a system of equations that could be used to determine the number of hours Shandra worked washing cars last week and the number of hours she worked walking dogs last week. Define the variables that you use to write the system. Let Let ||| System of Equations:
Step-by-step explanation:
x=total hours for wahing cars
y=total hours for walking dogs
1. 9x+8y=90 (total money)
2. x+y=11 (total hours)
=>8x+8y=88
=> 1-2
=> x=2
therefore y=9
The number of hours for Shandra working to wash car is 2 hours.
The number of hours for Shandra working to walking dogs is 9 hours.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Shandra is working two summer jobs, making $9 per hour washing cars and $8 per hour walking dogs.
Last week Shandra worked a total of 11 hours.
Total earned = $90
Now,
Total number of hours to wash car = x
Total number of hours to walk dogs = y
So, We can formulate;
⇒ 9x + 8y = $90 ... (I)
And, x + y = 11 .. (ii)
Solve equation (i) and (ii) we get;
x = 2 hours and y = 9 hours
So, The number of hours for Shandra working to wash car is 2 hours.
The number of hours for Shandra working to walking dogs is 9 hours.
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Given that (-7, 2) is a point on a circle centered at (0, 2), which equation represents the circle?
If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]
Given,
Center of the circle = (0,2)
One point on the circle = (-7,2)
First we have to find the distance between the center and the given point
that is the radius of the circle.
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} } \\d=\sqrt{(0+7)^{2}+(2-2)^{2} } \\d=\sqrt{49}[/tex]
d= 7 units
The standard equation of the circle
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Substitute the values in the equation
[tex](x-0)^{2}+(y-2)^{2}=7^{2} \\x^{2} +(y-2)^{2}=49[/tex]
Hence, If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]
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Answer:
Step-by-step explanation:
Calculate the value of y when the graph of y=-3x and x=-2 intercept
In a linear equation value of x and y (x, y) = ( -2 , 6) when the graph of y=-3x and x=-2 intercept .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.y= - 3x
Put x = -2 put in the equation
y = -3 * -2
y = 6
So, value of x and y (x,y) = ( -2 , 6)
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Joyce buys a bus pass for the month of March for $32.55. How much does the bus pass cost per day?
Answer: $1.05
Step-by-step explanation:
March has 31 days
Hence,
[tex]\displaystyle\\32.55:31=\\\\32\frac{55}{100}*\frac{1}{31} =\\\\32\frac{11}{20} *\frac{1}{31} =\\\\\frac{(32)(20)+11}{(20)(31)} =\\\\\frac{640+11}{620} =\\\\\frac{651}{620}=[/tex]
$1.05
orthogonality on a circle suppose that ab is the diameter of a circle with center o and that c is a point on one of the two arcs joining a and b. show that ca⇀ and cb⇀ are orthogonal.
It is proved that ca⇀ and cb⇀ are orthogonal .
Let AO = - u vector , OB = u vector and OC = α vector .
According to question ,
u * u = v * v = r ^ 2 and
AC vector = AO vector + OC vector = u + v
BC vector = BO vector + OC vector v - u ,
Applying dot - product ,
( AC vector ) . ( BC vector ) = ( v + u ) . ( v - u )
= ( v . v ) - ( u . u )
= ( r ^ 2 ) - ( r ^ 2 )
= 0
Hence , AC and BC are orthogonal .
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Water Lillies (continued)
A nearby lake also has water lilies. The ranger uses the equation = 90 · 2 to represent the number of water lilies in the lake each day.
4. Explain what the 90 and the 2 mean in this situation.
5. If both patterns continue, which will have more water lilies on day 6: the pond or the lake?
Explain your reasoning.
Answer:
Step-by-step explanation:
I need help on number 4
Reason:
There are two mountain peaks, which show the two modes (at 0.27 and 0.31). Therefore, this data set is bimodal.
The data set is also symmetric because of the mirror line at 0.29; stuff to the left of 0.29 can be reflected over the mirror line to get the stuff on the right side.
We can rule out choice A since the curve doesn't represent a normal distribution. A normal distribution has exactly one mode only.
Choice C is ruled out because a skewed distribution isn't symmetric, and vice versa.
The data set isn't uniform since all stacks of points aren't the same height. This rules out choice E.
what's 4,1 rotated 270 clockwise?
Answer:
should be -1,4
Step-by-step explanation:
i have two 20-sided dice that each have 4 maroon sides, 7 teal sides, 8 cyan sides, and one sparkly side. if i roll both dice, what is the probability they come up the same?
The probability of color coming up the same for rolling two 20-sided dice is 129/400.
Probability is defined as how likely something is to happen. For a single dice, getting a maroon, teal, and cyan have a probability of 4/20, 7/20, and 8/20, respectively.
Before solving the probability, we must identify whether the events are considered independent or dependent. Independent events are when the probability of an event happening does not affect the other's event probability of happening. A dependent event is when the probability of an event happening affects the other event. The rolling of dice is considered an independent event.
For events that should occur together, the multiplication rule is used. To solve for the probability of two sides coming up the same, the formula below is used.
P (A and B) = P (A) * P (B)
P (red and red) = (4/20)*(4/20) = 1/25
P (teal and teal) = (7/20)*(7/20) = 49/400
P (cyan and cyan) = (8/20)*(8/20) = 4/25
Since no specific color was stated in the problem, the sum of the probability of each color coming up the same is determined.
P (color come up the same) = P (red and red) + P (teal and teal) + P (cyan and cyan)
P (color come up the same) = 1/25 + 49/400 + 4/25
P (color come up the same) = 129/400
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HELP!!
what is the answer to number 18
Answer:
c
Step-by-step explanation:
The number of solutions of the equation [tex]5x^2+7x-4=0[/tex] is 2. Option (c) is correct.
Further explanation:
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Given:
The equation is [tex]f(x)=5x^2-7x-4=0[/tex]
According to the Fundamental Theorem of Algebra the function has 2 roots
Solve the above equation to obtain the zeros.
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-7\pm \sqrt{7^2-4\cdot \:5\left(-4\right)}}{2\cdot \:5}[/tex]
[tex]\sqrt{7^2-4\cdot \:5\left(-4\right)}[/tex]
[tex]=\sqrt{129}[/tex]
[tex]x_1=\frac{-7+\sqrt{129}}{2\cdot \:5},\:x_2=\frac{-7-\sqrt{129}}{2\cdot \:5}[/tex]
so, x has 2 solutions
Answer:
options c
Step-by-step explanation:
I hope it's helpful for you to
kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. what is the perimeter of the triangle if x
The perimeter of the triangle is 40 feet .
Kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) and x = 4
Now , According to the question:
Let the sides of triangle be a , b , c
a = 3x -4
b = x^2 -1
c = 2x^2 - 15
x = 4
Substitute the value of x in a, b , c
a = 3 × 4 -4 = 8 feet
b = 4 × 4 -1 = 15 feet
c = 2× 4× 4 - 15 = 17 feet
The perimeter of the triangle is sum of all sides
then, a + b + c
= 17 + 15 + 8 = 40 feet
Hence, The perimeter of the triangle is 40 feet .
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The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 101
7 x 101
143 x 101
7 x 103
Bacterial cell is smaller than the amoeba cell by 70 times or 7^ 10 times
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
length of a bacterial cell = 5 x 10^-6 m
length of an amoeba cell = 3.5 x 10^-4 m
= 3.5 x 10^-4 x 100/100 m
= 350 x 10^-6 m
Now, comparing the length
= (350 x 10∧-6) / (5 x 10∧-6 )
= (350/5
= 70 times or 7^ 10 times
Therefore, bacterial cell is smaller than the amoeba cell by 70 times or 7^ 10 times
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a tiny but horrible alien is standing at the top of the empire state building (which is 443443443 meters tall) and threatening to destroy the city of new york! a men in black agent is standing at ground level, 181818 meters across the street, aiming his laser gun at the alien. at what angle, in degrees, should the agent shoot his laser gun?
The angle for shooting laser gun should be 89.98°.
The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).
Writing the formula for tan theta, that relates the given height and distance
Now, tan θ = vertical height ÷ horizontal distance
Keep the values in above mentioned equation of theta to find the angle.
tan θ = [tex]\frac{443443443}{181818}[/tex]
Performing division to find the tan theta and subsequently calculate the angle
tan θ = 2438.94
θ = tan⁻¹ 2438.94
Calculating tan inverse to find the value of theta
θ = 89.98°
Therefore, the angle for shooting laser gun by a men in black agent should be 89.98°.
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HELP MEEE PLEASEEEEEEEE
Answer:
the answer is blank, don't type anything in just f a I l
the tunnel opening shown is a semicircle. find the area to the nearest tenth, of the opening tunnel enclosed by the semi circle. (semi circle is 23 feet.)
A semicircle is a one-dimensional locus of points that forms half of a circle.
The area of the semicircle is 10796.9 square feet.
What is a semicircle?A semicircle is a one-dimensional locus of points that forms half of a circle.
Its area is half the area of a circle.
We have,
The radius of the semicircle is 23 feet.
The figure is given below.
The area of a semicircle is given by:
= πr² / 2
r = radius
π = 22/7 = 3.14
So,
The area of the semicircle tunnel:
= (3.14 x 23 x 23) / 2
= 10796.89
Rounding to the nearest tenth.
= 10796.9 square feet
Thus the area of the semicircle is 10796.9 square feet.
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Which two numbers on the number line have an absolute value of 2.75?
Select the location of both numbers on the number line.
Two numbers on the number line have an absolute value of 2.75 is -2.75 and 2.75
number line - A line on which numbers are marked at intervals and used to illustrate simple numerical operations.
center of the number line is called origin i.e. 0 (zero) positive numbers are on the right side of zero. negative numbers are on the left side of the zero.absolute value - absolute value of real number is its distance from the zero.
The absolute value of 2.75 is 2.75 and the absolute value of -2.75 is 2.75
Two numbers on the number line have an absolute value of 2.75 is -2.75 and 2.75
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6. James and his
friend both started
a part-time job at
the Swimming Hole
earning $8.50 per
hour. James
worked 10 1/2
hours
his first week.
James agreed to
pay his friend $8.25
of his salary for
reimbursement of
gas. How much
money will James
have left after he
pays his friend for
gas?
The amount that James left has left after paying his friend 10% is; $80.325
How to Solve Algebra Word Problems?We are told that James and his friend both earn $8.5 per hour. Thus;
Amount earned by James per hour = $8.5
Amount earned by the friend per hour = $8.5
Total time James works in his first week = 10 ¹/₂ hours
Now, James agreed to pay his friend 1/10 of his salary
Thus, amount that James earned is;
10.5 * 8.5 = $89.25
Thus, amount he has left after paying his friend 10% is;
(100% - 10%) * $89.25 = $80.325
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-6/25 divided by 5 2/5 answer has to be a fraction and needed in simplest form
Answer:
-2/45
Step-by-step explanation:
5/3 in decimal form
Algebra 1 question
Answer:
1.66...
Step-by-step explanation:
5/3=
5 * 1/3=
5 * 0.33...=1.66... ==> with bar on top of the 6
The two triangles below are similar.
Calculate the value of x.
Give your answer as an integer or as a fraction in its simplest form
15 mm
C
3 mm
xmm
D
10 mm
Not drawn accurately
Answer:
50mm
Step-by-step explanation:
From the smaller to the larger:
Let s + the scale factor
3s = 10 Divide both sides by 3
s = [tex]\frac{10}{3}[/tex]
15[tex](\frac{10}{3})[/tex] = [tex]\frac{150}{3}[/tex] = 50
a fair six-sided die is rolled twice. what is the probability of getting 2 on the first roll and not getting 4 on the second roll?
The probability of getting 2 on the first roll and not getting 4 on the second roll is 5/36.
The two events mentioned are independent.
Given, first event getting 2 on the first roll and second event getting 4 in second roll.
So, the first roll of the die is independent of the second roll.Therefore, the probabilities can be directly multiplied.
P (getting first 2) = 1/6
P (no second 4) = 5/6
Therefore P (getting first 2 and no second 4) = 1/6 x 5/6 = 5/36
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Bookmarks are on sale at a store: buy 4, get 1 free! A teacher
bought 47 bookmarks for their students. If each bookmark
costs $1.30, how much did the teacher spend on bookmarks?
LA
Enter the answer
Answer:
Step-by-step explanation:
$52.00
combine these radicals
Answer:
[tex]2 \sqrt{3} [/tex]
Simplify the following numerical expressions. |-7| - 7 = 2|-7| = (-7)2 = -72 = -7 -|-7| =
the answer of all the 5 expressions is given as : 0, 14, 49, -49, -14 respectively.
What is mathematic expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Here the given expression are :
1) |-7| - 7 :
now, here considering the modulus value of -7 as 7 that is positive only :
|-7| - 7 = 7-7 = 0
2) 2|-7| = 2x 7
2|-7| = 14
3) (-7)² = -7 x -7 = 49
4) -7² = -(7 x 7) = -49
5) -7 -|-7| = -7 - 7 = -14
it should be noted that we have considered only positive value of modulus function only.
Therefore, the answer of all the 5 expressions is given above.
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Find the slope of the line that passes through the given points.
(-4,3) and (9,-2)
m=
Answer:
m=-5/13
Step-by-step explanation:
(-4,3) and (9,-2)
y2-y1/x2-x1
-2-3/9+4
-5/13
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Find the volume of the figure
Answer: 5 m³
Step-by-step explanation:
We will break the figure into two different parts.
Volume of a rectangular prism can be found with V = L * W * H
V = L * W * H
V = (2 m) * (1.5 m) * (1.5 m)
V = 4.5 m³
-
V = L * W * H
V = (2 m) * (2 m - 1.5 m) * (0.5 m)
V = 0.5 m³
Now, we will add them together.
4.5 m³ + 0.5 m³ = 5 m³
Answer:
5m³
Step-by-step explanation:
Hello!
You can picture this rectangular prism as a whole prism with a part removed.
The dimensions of the whole prism are 1.5m, 2m, and 2m.
The part cut out is 1m, 0.5m, and 2m.
We can find the volume of the whole rectangular prism and subtract the volume of the removed part.
Find the volume(1.5 * 2 * 2) - (1 * 0.5 * 2)6 - 15Since the units of length are meters, the volume should be represented as meters³. The volume is 5m³.
Choose a mental math strategy, and find the difference between the speeds of the planets Neptune and Saturn
The difference between the speeds of the planets Neptune and Saturn is 9384 miles per hour.
What is speed?The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction. The formula for an object's general speed is [Speed = Distance Time]. M/s is the SI unit of speed.
The speed of an item, which is a scalar quantity in everyday usage and kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time.
Therefore, the difference between the speeds of the planets Neptune and Saturn will be:
= 21637 - 12253
= 9384 miles per hour.
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