You will get 60 points!!!!
What is 1 whole as a fraction, decimal and percentage?
Answers
Fraction = 1/1
decimal = 1.0 or 1
percentage = 100%
Related Questions
b) 15, 13, 11, 9, 7.
find the term to term rule
Answers
Answer:
subtract 2 (- 2)
Step-by-step explanation:
the term to term rule is the change between each term in this series.
from 15 to 13, we subtract 2 (-2)
from 13 to 11, we subtract 2 (-2)
from 11 to 9, we subtract 2 (-2)
from 9 to 7, we subtract 2 (-2)
So, this is the term to term rule: subtract 2
Next term as per term rule of arithmetic progression is 5.
What is arithmetic progression?" Arithmetic progression is defined as the difference between two consecutive term is constant. Difference is known as common difference."
General form of Arithmetic progression
a, a + d, a + 2d , ........, a + nd
Common difference 'd' = \(a_{n} -a_{n-1}\)
According to the question,
Given terms are,
15, 13, 11, 9, 7
\(a_{1} =15\\\\a_{2} = 13\\\\a_{3} = 11\\\\a_{4} = 9\\\\a_{5} = 7\)
Common difference = \(a_{2} -a_{1}\)
= 13 - 15
= -2
Common difference = \(a_{3} -a_{2}\)
= 11 - 13
= -2
Given sequence is arithmetic progression with common difference -2
Next term after 7 as per term rule of arithmetic progression is
\(a_{6} = 7-2\)
= 5
Hence, Next term as per term rule of arithmetic progression is 5.
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Express 8^-4 using a positive exponents
Answers
That’s the answer
4x3 = -5x - 21 solve for x
Answers
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
compare1/2 with 3/4 using (<>=)
Answers
Answer: 3/4 is greater than 1/2
>
Step-by-step explanation:
The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
Answers
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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WILL GIVE 20 POINTS, NEED HELP! Match the description table or graph or equation with the correct type of function.
Answers
1, D /non linear function table/
2, F /linear function table/
3, C /linear function equation/
4, B /non linear function equation/
5, A /linear function graph/
6, E /non linear function graph/
1. = d. Non linear function table
the table is not the same rate of change. The x values are +1 but the y values are not constant.
2. = f. Linear function table
The table shows a constant rate of y=x+3 so it is linear.
3. = c. Linear function equation.
It is a single variable no exponents
4. = b. Non linear function equation
This equation has a variable exponent of ^2 so x has 2 solutions and is a parabola
5. = a. Linear function graph
This is a straight line so it is linear
6. = e. Non linear function graph
This is not a line, it is not linear, it is a curve and a parabola
See attachment
A regular Pyramid is formed from 3 right triangles as shown below use the information given in the figure to find the length of RT.
Answers
Answer:
The length of BD is 65 units.
Step-by-step explanation:
ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ AD² + CD² = AC²
The value of AD is 54 and the value of AC is 90:
54² + CD² = 90²
Solve for CD:
54² + CD² = 90²
CD² = 90² - 54²
CD² = 5184
CD = √5184
CD = 72
ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ BD² + CD² = BC²
The value of CD is 72 and the value of BC is 97:
BD² + 72² = 97²
Solve for BD:
BD² = 97² - 72²
BD² = 4225
BD = √4225
BD = 65
PLEASE HELP ME ON QUESTION ASAP!!
IF YOU HAVE A TOPIC LIST IN YOUR EXAMS AND IT SAYS AVERAGES AND THE RANGE ARE YOU GOING TO BE HAVING MEAN AND RANGE IN YOUR TEST OR MEAN, RANGE MODE, MIDPOINT BASICALLY ALL OF IT ? IF ANSWERS CORRECT ILL RATE YOU FIVE STARS, GIVE YOU A THANKS AND MAYBE EVEN BRAINLIEST (sorry for caps)
Answers
Answer:
Step-by-step explanation:
Typically yes you need to know
Mean
Median
Mode
and Range
Mean = average, add all numbers then divide by how many
Median = midpoint, middle number. Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers
Mode = numbers that occurs the most in the list of numbers
Range = This is the largest number minus the smallest number.
Sophia pays a $25.00 membership fee for an online music store. If Sophia purchases n songs for
$3.00 each, and the total cost for her purchase is $60.00. Write and equation for the total cost
of songs s
Answers
Answer:
11 remainder 2 sorry if it's wrong...
Step-by-step explanation:
60.00- 25.00= 35.00 35.00 ÷ 3 = 11 r2
Write the slope of tangent and normal to the curve y=f(X) at (x1,y1).
Answers
The slope of the tangent line is:
a = (df(x1)/dx)
The slope of the normal one is:
a' = -1/(df(x1)/dx)
How to find the slope of the tangent line?For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.
So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:
df(x1)/dx
And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:
a*(df(x1)/dx) = -1
a = -1/(df(x1)/dx)
Where df/dx reffers to the derivative of f(x).
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Nodin is earning money for a longboard by selling lemonade at the soccer fields. Being a precocious and poorly-supervised 12 year old, Nodin has no transportation and decides to use water from a nearby river.
Business is booming! He sells 32 lemonades on the first day, and 6 additional lemonades each day as the summer heats up. How many TOTAL cups of giardia-laced lemonade will Nodin have sold by the time his parents get a call from county health officials on day 10?
Hint: Use an = a1 + (n-1) d and Sn = n/2 (a1+an)
Answers
The total cups of giardia-laced lemonade sold by Nodin will be 590.
What is an Arithmetic Progression (AP)?An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.
In this type of progression, there is a possibility to derive a formula for the nth term of the AP. For example, the sequence 2, 6, 10, 14, … is an arithmetic progression (AP) because it follows a pattern where each number is obtained by adding 4 to the previous term. The difference added is called the common difference.
From the question;
Given;
a1 = 32
n = 10
d = 6
Using the formula;
an = a1 + (n-1) d
Substituting;
an = 32 + (10-1)6
an = 32 +(9)6
an = 32 + 54
an = 86
By the end of day 10, Nodin must have sold;
Sn = n/2 (a1+an)
where n = 10
a1= 32
an = 86
Sn = 10/2 (32+86)
Sn = 5 (118)
Sn = 590 cups
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Any kind soul willing to help a random person lol
Answers
A student designed a flag for the school's Gaming Club. The design is rectangular with vertices at (5, 6), (12, −10), and (5, −10). Find the missing vertex and the area of the flag in square inches?
A: The missing vertex is (12, 6) with an area of 112 in2.
B: The missing vertex is (−10, 12) with an area of 112 in2.
C: The missing vertex is (6, 12) with an area of 28 in2.
D: The missing vertex is (−10, 6) with an area of 28 in2.
Answers
The missing vertex is (12, 6) with an area of 112 in².
Define vertexA vertex is a point where two or more lines, edges, or curves meet in a geometric shape. In a two-dimensional shape, such as a triangle or quadrilateral, a vertex is where two sides meet.
Given vertices of rectangular design:
(5, 6), (12, −10), and (5, −10).
the length of the side connecting (5, 6) and (5, -10), which is 6 - (-10) = 16.
by adding this length to the y-coordinate of the vertex (5, 6), which gives us (5, 6+16) = (5, 22).
Similarly, we can find the length of the side connecting (5, 6) and (12, -10), which is 12 - 5 = 7.
We can add this length to the x-coordinate of the vertex (5, 6), which gives us (5+7, 6) = (12, 6).
Therefore, the missing vertex is (12, 22 - 10) = (12, 12).
To find the area of the rectangle, we can use the formula
A = length x width.
Using Distance formula between (5, 6) and (12, 6),
length=√(12-5)²+(6-6)²
length=√7²
Length=7 in
Using Distance formula between (5, -10) and (5, 12),
length=√(5-5)²+(12+10)²
length=√22²
Length=22 in
the area of the rectangle is;
A = 7 x 22 = 154 square inches.
Therefore, the correct answer is A: The missing vertex is (12, 6) with an area of 112 in²
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Answer: Option a will be right i took the test
Step-by-step explanation:
State the conclusion based on the results of the test.
According to the Federal Housing Finance Board, the mean price of a single-family home two years ago was $299,000. A real estate broker believes that because of the recent credit crunch, the mean price has increased since then. The null hypothesis is rejected.
Question content area bottom
Part 1
Choose the correct answer below.
A.
There is not sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,000.
B.
There is not sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,000.
C.
There is sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,000.
D.
There is sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,000.
Answers
The correct option regarding the conclusion of the test hypothesis is given as follows:
C. There is sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,000.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean price has not increased from $299,000, hence:
\(H_0: \mu \leq 299000\)
At the alternative hypothesis, it is tested if it has increased, hence:
\(H_1: \mu > 299000\)
The null hypotheses was rejected, which means that there is enough evidence to conclude that the mean price has increased, hence option C is correct.
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A bag contains 2 red marbles, 5 blue marbles, and 3 yellow marbles. What is the theoretical probability of picking a blue marble?
A.
2/9
B.
1/2
C.
4/9
D.
1/9
Answers
B. 1/2
The blue marbles are half of the marbles that there are, so that makes it 1/2 which is also counted as 50%.
Hope that helped:)
Find the volume of a rectangular prism with the following dimensions.length: 4 ydwidth: 5 ftheight: 11 ftvolume = ___ ft3
Answers
Given:
length: 4 yd
width: 5 ft
height: 11 ft
Required:
volume = ___ ft3
Explanation:
First of all we apply the formula for the volume of rectangular prism.
\(\begin{gathered} volume=l\times w\times h \\ =4\times5\times11 \\ =220ft^3 \end{gathered}\)Required answer:
\(220ft^3\)Helppppp pleaseeeeee
Answers
Answer:Godo luck!
Step-by-step explanation:
7.)
The temperature started out at 6° above zero and dropped 12° during the
Snowstorm that afternoon. By nighttime, the temperature had dropped another 10°.
What was the final temperature for the day?
Answers
Answer:
The final temperature for the day was -16 degrees.
Step-by-step explanation:
6-12= -6
-6-10= -16
What is the exact circumference of a circle with a diameter of 18cm? *
•36pi
•18pi
•9pi
•3.14
Answers
Use Pythagorean Theorem a? + b2 = to find the value of x. Round to the nearest tenth (one decimal place).
x=1
19.1
1
30.5
Answers
Answer : 23.77
Pythagoras theorem states that in any right angled triangle , the sum of squares of base and perpendicular is equal to the square of hypotenuse .
Here in the given figure , hypotenuse is 30.5 and perpendicular is 19.1 .\(\sf\longrightarrow (base)^2+(perpendicular)^2=hypotenuse^2\\\)
Substituting the respective values,\(\sf\longrightarrow x^2 +(19.1)^2 = (30.5)^2 \\\)
\(\sf\longrightarrow x^2 + 364.81 = 930.25 \\\)
\(\sf\longrightarrow x^2 = 930.25 -364.81\\\)
\(\sf\longrightarrow x^2 = 565.44\\\)
\(\sf\longrightarrow x=\sqrt{565.44} \\\)
\(\sf\longrightarrow \underline{\boxed{\bf base (x) = 23.77 }} \\\)
Let me know if you have any queries in the comment section !
Solve this equation -2x+9-3x=16
Answers
Answer:
x = -1.4
Step-by-step explanation:
Isolate x on one side of the equation:
-2x - 3x = 16 - 9
-5x = 7
x = -7/5 = -1\(\frac{2}{5}\) = -1.4
in integers 1 is the identity for ____.
Answers
Answer:
In integers 1 is the identity for multiplication
Step-by-step explanation:
:))))))))))))))))
simplify your answer should contain only positive exponents
(3x^2)^4
Answers
Answer:
81x^8
Step-by-step explanation:
i hope this helps :)
A) complementary
B) alternate exterior
C) corresponding
D) linear pair
Answers
Can you solve this problem???????????????????????????????
Answers
Answer:
width = 4.2 units
Step-by-step explanation:
Easy, if the length is 65 units
65 * width = 273
width = 273 / 65
width = 4.2
the answer is 4.2
if you have the lenght and area just divided both in the equation and then you will have the answer
PLEASE HELP with3,4,5,6
DUE IN 20 min
Answers
Answer:
3.
\(volume \ of \ cone = \frac{1}{3}\pi r^2h = \frac{1}{3}*3.14*6*6*15 = 3.14*36*5 = 565.2cm^3\)
4.
\(volume \ of \ cone = \frac{1}{3}\pi r^2 h = \frac{1}{3} *3.14* 12*12*20 = 3.14*12*4*20 = 3014.4cm^3\)
5.
\(volume \ of \ sphere = \frac{4}{3} \pi r^3 = \frac{4}{3}*3.14 * 3*3*3* = 4*3.14*9 = 113.0cm^3\)
6.
\(diameter = 13cm\\\\radius = 6.5cm\\\\volume \ of \ sphere = \frac{4}{3} \pi r^3= \frac{4}{3} *3.14*6.5*6.5*6.5 = 1149.8cm^3\)
Like Term Combine and distributive PropertyA).Find the Like Terms and combine them1) 3x + 3xy + 4 y^2 + 10x +6 + 7xy – 4 y^2 -52) 6 + 8 a^2 + 10a –9b^2 -9a +11a + 8 b^2 - 11a +12 b^2 -4 + 5a^2B). Use Distributive Property to simplify the expressions 1).6(m+2) – 2(m-2)2).2(4x+3) -53).3(y-3)+2y4).7( Z-2) + 6(-Z+1) –10(6Z +8)
Answers
Given the expression
3x + 3xy + 4 y^2 + 10x +6 + 7xy – 4 y^2 -5
Combining the like terms'
(3x+10x)+(3xy+7xy)+(4y^2-4y^2)+(6-5)
Solve the expression in parenthesis
= 13x + 10xy + 0 + 1
= 13x + 10xy + 1
Hence the answer after combining the like terms is 13x + 10xy + 1
convert 3 * 10 raise to power 8 m per second to kilometres per hour
Answers
Answer:
\(\huge\boxed{3\cdot10^8\dfrac{m}{s}=1.08\cdot10^9\dfrac{km}{h}}\)
Step-by-step explanation:
\(3\cdot10^8\dfrac{m}{s}\\\\1km=1,000m\to1m=0.001km\\1h=3,600s\to1s=\dfrac{1}{3600}h\)
therefore
\(3\cdot10^8\dfrac{m}{s}=3\cdot100,000,000\cdot\dfrac{\frac{1}{1000}km}{\frac{1}{3600}s}=300,000,000\cdot\dfrac{1}{1000}\cdot\dfrac{3600}{1}\dfrac{km}{h}\\\\=\dfrac{300,000,000\cdot3,600}{1,000}\dfrac{km}{h}=300,000\cdot3,600\dfrac{km}{h}=1,080,000,000\dfrac{km}{h}\\\\=1.08\cdot10^9\dfrac{km}{h}\)
pls help me asap !!!
Answers
Answer:
11
Step-by-step explanation:
Hopefully you can see that this is an isosceles triangle and remembering the inequality theorem of a triangle (4,4,11 triangle cannot exist). Iso triangle has two side the same length - as well as two angles the same.
POSSIBLE POINTS: 33.33
homeowner collects data about the amount of oil A, in gallons, used to heat the house per month for 5 months and the
verage monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function
(t) = -1.4t + 96 best fits these data.
Answers
=============================================================
Explanation:
Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.
From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.
For example, if we plugged in t = 10, then,
A(t) = -1.4t+96
A(10) = -1.4(10)+96
A(10) = -14 + 96
A(10) = 82
Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.
The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.
Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.
If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.
Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.
For the graph attached statements A, C and E are true.
Function that fits the given data in the graph,
A(t) = -1.4t + 96Here, t = temperature in Fahrenheit
A(t) = Oil used in gallons
By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.
Option A
By substituting t = 10°F,
A(10) = -1.4(10) + 96
= 82 gallons
Therefore, statement is true.
Option B
For t = 15°F,
A(15) = -2.4(15) + 96
= 60 gallons
Statement is False.
Option C
For t = 68.5°F
A(5) = -1.4(68.5) + 96
= 0.1 gallons
≈ 0 gallons
Statement is True.
Option D
For t = 55°F,
A(55) = -1.4(55) + 96
= 19 gallons
Statement is False.
Option E
For t = 0°F
A(0) = -1.4(0) + 96
= 96 gallons
Statement is true.
Therefore, statements given in options A, C and E are True.
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