Answer:
1915
Step-by-step explanation:
nth term = 15n + 400
term to term = 15
n = position
eg:
n=1
1x15=15 + 400 = 415
n=2
2x15=30 + 400 = 430
n=101
101x15= 1515 + 400 = 1915
Answer:
1915
Step-by-step explanation:
formula for the nth term is
an = d times n + first term - d
an = n*d + a1 - d
find the difference between the numbers
it's 15 which is d
first term is a1 which is 415
a101 = 15 times 101 + (415 minus 15)
a101 = 1515 + 400
a101 = 1915
graph represents a vertical stretch by a factor of 2 followed by a translation 1 unit up of the graph of f(x)=x
Answer: A vertical stretch of f(x)f(x) is of the form g(x)=kf(x)g(x)=kf(x) where k>1k>1. A vertical stretch of 5 then means that g(x)=5f(x)=5(x+2)=5x+10g(x)=5f(x)=5(x+2)=5x+10.
Step-by-step explanation: so i really hope this helps <3 (:
Factorize it please
Answer: -m*(x-3y)*(3x-y)
(*=multiply btw)
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
(m • ((x + y)2)) - 4m • (x - y)2
STEP2:
Equation at the end of step 2
m • (x + y)2 - 4m • (x - y)2
STEP3:
3.1 Evaluate : (x+y)2 = x2+2xy+y2
3.2 Evaluate : (x-y)2 = x2-2xy+y2
STEP4:
Pulling out like terms
4.1 Pull out like factors :
-3mx2 + 10mxy - 3my2 = -m • (3x2 - 10xy + 3y2)
Trying to factor a multi variable polynomial :
4.2 Factoring 3x2 - 10xy + 3y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (x - 3y)•(3x - y)
Hollie earned $1230 a week last year. What was her yearly salary?
Answer: 63,960
Step-by-step explanation:
Answer:
$63960
Step-by-step explanation:
tbh if i made that salary tho
State which metric unit you would probably use to measure each item.
mass of a book
The gram and kilogram are two units used to measure mass in the metric system .
We need to find the metric unit to find mass of a book.
What is Mass?The resistance that a body of matter offers to a change in its speed or position upon the application of a force.
1 kilogram of a substance is equal to 1000 grams and 1 gram is equal to 0.001kg. Therefore, to convert the mass of a book weighing 12,321g into kg, we will multiply it by 0.001kg. The book's mass in kg is 12.321 kg.
Therefore mass is measured by kilogram or grams.
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Find the (a) mean, (b) median, (c) mode.
Listed below are the weights in pounds of 11
players randomly selected from the roster of a
championship sports team. Are the results likely to
be representative of all players in that sport's
league?
235, 216, 290, 273, 287, 217, 206, 284, 287, 285,
285
Answer:
Mean = 260.45
Median = 284
Mode = 287, 285 (there are 2 modes)
Since it is a championship sports team , it is likely that this data is representative of all players in that league
Step-by-step explanation:
Mean = Sum of the weights/11 = 2865/11 = 260.45
Median is the middle of the data set when the data values are arranged in ascending order
In ascending order: 206, 216, 217, 235, 273, 284, 285, 285, 287, 287, 290
Mode is the value that occurs the maximum number of times in a data set
Here there are 2 modes 285 and 287 both of which occur twice
There are 18 cans of peas in a case. each can of peas is 12 ounces. if a case of peas costs $14.22, what is the unit price per can of peas? a. $0.07 b. $0.08 c. $0.79 d. $1.19 please select the best answer from the choices provided a b c d
The correct answer is option c. $0.79
As per the question:
No. of pea cans in a case = 18 cans
Weight of each can of peas = 12 ounces
Price of a case of peas = $14.22
The information regarding the weight of each can is redundant in this question and therefore, is not used for solving the question
Therefore, the formula to be used for solving:
Price per unit can of peas= (Price of a case of peas/No of pea cans in a case)
Price per unit can of peas= ($14.22/18)
The price per unit can of peas= $0.79
Hence, option c is the correct answer
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Find the first term, the common difference, and the sum of the first thirty-three terms of an arithmetic sequence in which t5=8, t10 = 15.5
The first term, the common difference, and the sum of the first thirty-three terms of the arithmetic sequence is 2, 1.5 and 68.5 respectively.
Arithmetic sequencet5 = 8t10 = 15.5First term = aCommon difference = da + 4d = 8
a + 9d = 15.5
Subtract to eliminate a9d - 4d = 15.5 - 8
5d = 7.5
d = 7.5/5
d = 1.5
substitute into
a + 4d = 8
a + 4(1.5) = 8
a + 6 = 8
a = 8 - 6
a = 2
Sum of the first 33 termsS33 = n/2 + {2a (n - 1)d}
= 33/2 + {2×2 + (33 - 1)1.5}
= 16.5 + {4 + (32)1.5}
= 16.5 + (4 + 48)
= 16.5 + 52
= 68.5
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Pick the correct inequality sign to make the statement true.
|-53|∣−53∣_____|53|∣53∣
Pick the correct inequality sign to make the statement true.
|-53|∣−53∣_____|53|∣53∣
<<
>>
==
Considering the absolute value function, the correct statement is given by:
|-53| = |53|.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin. For this problem, we have that:
-53 < 0, hence |-53| = -(-53) = 53.53 > 0, hence |53| = 53.Thus, the correct statement is given by:
|-53| = |53|.
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solve for x please, ty
By using properties of right triangles, we will see that the value of x is 7.72
How to find the length of side x?In the image we have a set of right triangles, and we want to find the value of x.
Let's look at the large triangle in the left, we know that the hypotenuse measures 18 units and one angle measures 64°, with that information we can get the adjacent side (the dashed line, let's call it A) to that angle:
Cos(64°) = A/18
18*cos(64°) = A = 7.05
Now we know one of the cathetus of the smaller right triangle (the one we can see in the right side). Here we know one angle that measures 20° and the opposite to that angle measures 7.05
Then the value of x is given by the equation:
x = 7.05/sin(20°) = 7.72
We conclude that the value of x is 7.72
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7.2×10 to the power of -8 ÷ 3×10 to the power of -2
Answer:
2.4×10−6
Step-by-step explanation:
8
179 180 150 12
10.
30 40 50 60 80
150 140 130 120 110 100-
THEM
-90-
Name 2 Right angles
A
D
100 110 120 130 140 150 1
75 60 50 40 30
80
&
Answer:
Step-by-step explanation:
A
第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows the correct answers to 4 questions and guesses the answers to the other 6 questions. it turns out that the student answered the first question correctly. what are the chances that the student was merely guessing?
The chances that the student was merely guessing is 1/3.
Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.
denoted by
[tex]P(A/B)=\frac{P(A)*P(B/A)}{P(B)}[/tex]
let A be the event that the student knows the answer .
B be the event that the student does not knows the answer .
and
E be the event he gets answer correct .
According to the given question
[tex]P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}[/tex]
Probability that the answer is correct ,given that he knows the answer is
[tex]P(E/A)=1[/tex]
Probability that the answer is correct ,given that he guesses it is
[tex]P(E/B)=\frac{1}{3}[/tex] [as the MCQ has 3 options and only one is correct]
We need to find the probability that he guesses the answer given that it is correct.
Required probability [tex]P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}[/tex]
Substituting the values we get
[tex]P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }[/tex]
[tex]=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}[/tex]
Therefore , the chances that the student was merely guessing is 1/3.
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PLEASE HELP ITS DUE TODAY
Answer: 1/36 ==> c
Step-by-step explanation:
[tex]6 ^{-2}[/tex]=
[tex]6 ^{-1*2}[/tex]=
[tex](6^{-1}) ^{2}[/tex]=
[tex](\frac{1}{6} ) ^{2}[/tex]=
[tex]\frac{1^{2}}{6^2}[/tex]=1/36 ==> c
please help i’ll give brainliest!!
LABD = 99° and ZCBD = 9x - 9
x = [?]
Answer:
x = 12
Step-by-step explanation:
Given congruent triangles ABD and CBD, and expressions for corresponding angles ABD and CBD, you want the value of x in the expression for angle CBD.
CongruenceCorresponding parts of congruent triangles are congruent, so we know ...
∠ABD ≅ ∠CBD
99° = (9x -9)° . . . . use the given expressions
11 = x -1 . . . . . . . . divide by 9°
12 = x . . . . . . . . add 1
The value of x is 12.
Calculate the unknown angle of k
Answer:
60°
Step-by-step explanation:
since it is an equilateral triangle all sides are equal. let's make the other 2 angles k.
k+k+k=180°{sum of angles in a triangle}
3k=180°
k=60°(each of them is 60°)
1-8 closure property fundamentals of algebra
The closure property is defined as the completion of a collection of numbers by using arithmetic operations.
The closure property asserts that when an arithmetic operation such as addition, subtraction, multiplication, or division is done on any two numbers in the set, the response is another number from the same set.The closure property essentially asserts that when we add or multiply any two real numbers, we will obtain just one unique response, which will likewise be a real number. The commutative property asserts that the order of the numbers does not matter when adding or multiplying real numbers.For example, the closure property is true for whole numbers over addition and multiplication.To learn more about closure property, visit :
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You birthday toy box it is 24 inches tall and 36 inches wide and 18 inches deep what is the volume of the toybox
Answer: 15,552 inches cubed
Hope this helps!
27. Solve the equation:
2(9x-6)=6(3x-2)+2
Answer:
2
Step-by-step explanation:
18x -12 = 18x -12 +2
18x -12 = 18x -10
18x cancel each other out
-12 = -10
-12 + 12 = -10 + 12
add 12 to each side
= 2
If a right-angled triangle has two acute angles (each of which measures less than 90), then why is there a value for sin, cos, tan of obtuse angles (which are greater than 90)?
Step-by-step explanation:
Because in this situation you have 2 ways to solve it
Use angel without any change to get sinBut in this case you can't so we have another solution
Subtract angel from 360 it will give you result with negative or different results
If you have angel 100
The sin maybe equal sin100 or sin 360-100
Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 4x 1. use the formula v = l â‹… w â‹… h, where l is length, w is width, and h is height, to find the volume. 5x5 4x4 x3 5x4 4x3 x2 6x5 4x4 x3 6x4 4x3 x2
The volume of a rectangular prism if the length is 10ft is 250ft2.
What is a prism?A transparent optical prism is a device intended to refract light and has flat, polished surfaces. Prisms do not have two parallel surfaces; at least one of their surfaces must be slanted. Since a triangular prism with a triangular base and rectangular sides is the traditional geometrical shape of an optical prism, this type is typically meant when the word "prism" is used in everyday speech. Certain optical prism varieties don't actually have geometric prism shapes. Any material that transmits the wavelengths for which it is intended can be used to create prisms. Glass, acrylic, and fluorite are common building blocks.
From description, l = 2h = 2w
Since it has a square base,w=h
V = lwh = 2w•w•w = 2w3
Surface area, A = 2(wl+hl+hw) = 2(2w2+2w2+w2) = 250
5w2=250/2 = 125
w2= 25
V= 2(5)3 = 2(125)= 250 ft2
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Which expression is equivalent to
X^-5/3
Answer:
[tex]\frac{1}{x^{\frac{5}{3}}}[/tex]
Step-by-step explanation:
[tex]\frac{-5}{3}=-\frac{5}{3}\\x^{-\frac{5}{3}}\\x^{-\frac{5}{3}}=\frac{1}{x^{\frac{5}{3}}}\\\frac{1}{x^{\frac{5}{3}}}[/tex]
➲ Hope this helps.
Solve the equation using square roots. x² + 20 = 4
no real number solutions
√24
+√24
-4
There are no real solutions for the equation x² + 20 = 4.
Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.
Consider the equation,
x² + 20 = 4
Subtracting 20 from each side of the equation.
x² + 20 - 20 = 4 - 20
x² = - 16
√x² = √ - 16
x = ± √-16
x = ± 4√(-1)
x = ± 4i
Since i is the complex number that is equal to √-1. Therefore, there are no real solutions to the equation.
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Answer:no real number solutions
Write an equivalent expression by distributing the "-−" sign outside the parentheses:
-(-9d+4.9)
Step-by-step explanation:
- 1(- 9d + 4.9)
9d -4.9 would be your answer because the negative sign outside the parenthesis equals -1. Hope that helps!!
Answer:
9d - 4.9
Step-by-step explanation:
- ( - 9d + 4.9) ← multiply each term in the parenthesis by - 1
= 9d - 4.9
Which two integers is –135 between?
Answer: -136 and -134
Step-by-step explanation:
Answer: 11 and 12
Step-by-step explanation:
you have to find the square root of 135. The square root of 135 is 11.6189
so the answer is between 11 and 12
Find the distance between the two points rounding to the nearest tenth (if necessary)(9,5)and(4,-7)
Answer:
Step-by-step explanation:
-9x(-9)x(-9) what does it =
Answer:
-729
Step-by-step explanation:
-9 × (-9) × (-9) =
= 81 × (-9)
= -729
during a summer thunderstorm, the temperature drops and then rises again. the rate of change of the temperature during the hour and a half after the storm began is given by t(h) = 9.5h3 − 15.5h2 + 17.4h − 10.12°f per hour
According to the given statement One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.
How is the rate of temperature change determined?Subtract the final temperature from the starting temperature to get the temperature change (T). Multiply the temperature change by the sample's mass. Share the product's energy and heat output.
The equation is C = Q / (T m).
According to the given information:Consider the function t as defined below. t(h)=9.5h – 15.52 +17.4h-10.12
Here,
h is the number of hours after storm began.
The function t represents the rate of change of temperature in °F per hour during the hour and a half after the storm began.
During the storm, the temperatures lowers and then rises.
One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.
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Out of the four measures in the survey, which two variables have the highest correlation?
variables having the highest correlation are -
Wait time acceptable RespectWhat does it mean to have a high correlation?A strong correlation, also known as a high correlation, indicates that two or more variables have a significant link with one another, whereas a weak or low correlation indicates that the variables are rarely associated. The process of examining the strength of such association with the use of available statistical data is known as correlation analysis.
Complete question -Out of the four measures in the survey, which two variables have the highest correlation?
Patient would recommend and Enough informationWait time acceptable and RespectPatient would recommend and RespectPatient would recommend and Wait time acceptableTo learn more about correlation from given link
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The base of Jada's toy box is a rectangle with length 4 feet and width 3 feet. The height of the toy box is 2 feet. What is the volume of the toy box?
The volume of the toy box is 24 cubic feet.
What is the volume of the toy box?
Remember that for a rectangular prism of length L, width W, and height H the volume is given by the formula:
V = L*W*H
In this case, we know that:
L = 4ft
W = 3ft
H = 2ft
Replacing that in the volume formula we get.
V = 4ft*3ft*2ft = 24ft^3
The volume of the toy box is 24 cubic feet.
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Help me!
In below Diagram.
Answer:
23.3cm
Step by step:
Tri;APQ~Tri;ABC(A.A.A)
AP/AB=AQ/AC=PQ/BC
AP/AP+BP=AQ/AQ+QC
3/3+AQ=AQ/AQ+49/3
3AQ+49=3AQ+AQ^2
AQ^2=49
AQ=7
#AC=AQ+QC
=7+(49/3)
=23.333
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