[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Here we go :} [/tex]
[tex]\qquad \sf \dashrightarrow \:9(2x + 1) = 9x - 18[/tex]
[tex]\qquad \sf \dashrightarrow \:18x + 9 = 9x - 18[/tex]
[tex]\qquad \sf \dashrightarrow \:18x - 9x = - 18 - 9[/tex]
[tex]\qquad \sf \dashrightarrow \:9x = - 27[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 27 \div 9[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 3[/tex]
[tex] \textsf{Hence, value of x is -3} [/tex]
Which is equal to ???
Answer:
[tex]csc54[/tex]°
Step-by-step explanation:
[tex]sec36[/tex]° = [tex]\frac{1}{cos36}[/tex]
and; [tex]\frac{1}{cos36} = \frac{1}{sin 90 -54}[/tex] ... (co-functions)
and [tex]\frac{1}{sin90-54} = csc54[/tex] .... (csc in the reciprocal of sin)
What are the next two terms of the following sequence? -2, 4, -8, 16, ...
Answer:
-32 , 64
Step-by-step explanation:
Geometric sequenceThis is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'
[tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]
[tex]\sf r =\dfrac{4}{(-2)}[/tex]
r = -2
The next two terms ,
Fifth term = 16 *(-2) = -32
Sixth term = (-32) * (-2) = 64
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the next two terms of the following sequence?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
The next two terms are -32 and 64.
[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]
First of all, let's identify what kind of sequence this is.
The two main types of sequences are:
[tex]\textsf{Arithmetic.}[/tex] This is where we add/subtract the same number to get to the following term.[tex]\textsf{Geometric.}[/tex] This is where we multiply/divide by the same number to get to the next term.In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].
In order to get to the next term, we multiply by -2.
So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:
16•(-2)=-32
We've found the 5th term of the geometic sequence.
Now let's find the 6th:
-32•(-2)=64 (the product of a negative and a negative results in a positive)
Summary of Final Answer:-The next two terms in the sequence are -32 and 64.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The graph show the probability distribution of a random variable.
What is the value of P(0 ≤X ≤4)?
0.40
O 0.45
O 0.50
O 0.55
Answer:
O 0.50
Step-by-step explanation:
when x = 0, the probability is 0
when x = 1, the probability is 0.1
when x = 2, the probability is 0.2
when x = 3, the probability is 0.125
when x = 4, the probability is 0.05
The number of nails of a given length is normally distributed with a mean a length of 5 in. and a
standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are between 4.97
in. long and 5.03 in. long?
ut 57 nails
out 60 nails
out 82 nail
Answer:
82 nails
Step-by-step explanation:
4.97 and 5.03 are both one standard deviation from the mean...
z scores . 8413 and .1587
.8413 - .1587 = .6826 or 68.26 % of the nails are in this range
68.26 % * 120 = ~82 nails
2 questions in the pictures, it's grade 9 algebra 1 giving brainliest for first answer 50 points
write the above equation in the form of y = g(x).
⇒ y = (0.5)x + 3 – 4
Now, we convert the equation into y = mx + c form.
⇒ y = (0.5)x - 1
Here, we see that m = slope = 0.5, and c = y-intercept = -1.
Hence, the graph of g(x) = (0.5)x + 3 – 4 is a straight line with slope = 1/2 and y-intercept = -1.
Clare is playing a game with her 4-year-old cousin. There are 100 game tiles in a bag. Each
tile has either a shape or a monkey on it. Clare picks a tile out of the bag, records the result,
and then places it back in the bag. She does this 15 times and gets 1 star, 2 circles, 3
squares, 3 triangles, and 6 monkeys
the answer of the question is :
200 games because the square root of 2 is 4
does someone mind helping me with this problem? Thank you!
Answer:
a = 12
Step-by-step explanation:
Pythagoras’ Theorem
a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
leg a = aleg b = 9hypotenuse c = 15Substituting these values into the formula and solving for b:
⇒ a² + 9² = 15²
⇒ a² + 81 = 225
Subtract 81 from both sides:
⇒ a² + 81 - 81 = 225 - 81
⇒ a² = 144
Square root both sides:
⇒ √(a²) = √(144)
⇒ a = 12
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the value of a using Pythagoras theorem ~
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: a {}^{2} = {15}^{2} - {9}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= \sqrt{225-81} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= \sqrt{144} [/tex]
[tex]\qquad \sf \dashrightarrow \: a= 12\: units[/tex]
What is the slope of the line that
passes through these two points?
(-3, 1)
(3, 3)
slope
=
Remember. given two points.
(x1.yı)
(x2 - y2)
Slope
rise (y2-y1)
run(x2-x1)
Simplify your answer completely.
Answer:
1/3
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
= (3 -1)/ (3 - (-3))
= 2/ 6
= 1/3
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}}[/tex]
What is the slope of the line that
passes through these two points? (-3, 1) ,(3, 3)?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Use the slope formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\bigstar[/tex] Replace the letters with numbers:-
[tex]\sf{\dfrac{3-1}{3-(-3)}}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\sf{\dfrac{2}{3+3}}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\sf{\dfrac{2}{6}}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\boxed{\mathrm{Slope=\frac{1}{3}}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
the ratio 20:40:100 in its simplest form.
Answer:
1 : 2 : 5
Step-by-step explanation:
20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )
= 1 : 2 : 5
helppppppppppppppppp
Answer:
42 cm²
Explanation:
cut into 2 rectangles
area of rectangle: Length * Width
4 * (3+3+3) + 3 * 24 * 9 + 636 + 642 cm²The final scores from the last five games of two basketball teams are given. Jumping Jackrabbits: 70, 65, 72, 80, 73 Leaping Lizards: 61, 47, 70, 63, 54 Determine the MAD of each data set. In your work, show the mean and the absolute deviation of each data value in each set. Compare and interpret the MADs in context of the situation.
PLS PLS HELP ME
The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.For the Jumping Jackrabbits and the Leaping Lizards, the mean and the MAD are given as follows:
M = (70 + 65 + 72 + 80 + 73)/5 = 72
MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.
M = (61 + 47 + 70 + 63 + 54)/5 = 59
MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.
The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.
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evaluate the following
a) 4!=
b) 0!=
c) 2! + 3!=
d) 3! x 4!
e) 10! / 7!
Answer:
See below for answers and explanations
Step-by-step explanation:
4! = 4*3*2*1 = 24
0! = 1
2! + 3! = 2*1 + 3*2*1 = 2 + 6 = 8
3! * 4! = 3*2*1 * 4*3*2*1 = 6 * 24 = 144
10! / 7! = 10*9*8*7*6*5*4*3*2*1 / 7*6*5*4*3*2*1 = 10*9*8 / 1 = 720
Find the value of x
Answer:
x = 45
Step-by-step explanation:
Solve the entire figure first
First right triangle:
A = 36
B = 48
C = _
Using Pythagoras theorem to find the hypotenuse
a² + b² = c²
Plug in:
36² + 48² = 84²
1,296 + 2,304 = 3,600
Find the square root of √3600
⇒ √3600 = √( 2 × 2) × (2 × 2) × (3 × 3) × (5 × 5)
⇒ = 2 × 2 × 3 × 5
⇒ 60
The hypotenuse of the bottom right triangle is 60.
Now that we have the given value of the missing line separating both right triangles.
A = 60
C (hypotenuse) = 75
To find the missing side,
use this formula:
c² - a² = b² ---> hypotenuse minus the given side value
Plug in:
75² - 60² = 2,025
Find the square root:
⇒ √2025 = √ ( 3 × 3 ) × ( 3 × 3 ) × ( 5 × 5 )
⇒ 3 × 3 × 5
⇒ 45
Therefore, the missing x value on the second right triangle is 45.
Divide. Give the quotient and remainder.
437/7
From -6 f to 2 f is that increasing or decreasing?
Answer:
Increasing, because it's going from a negative number to a positive number
Step-by-step explanation:
Heidi likes to mix her own horse feed. She creates a mix that is 10%
molasses-covered oats using 18% molasses-covered oats. How many pounds
of each does she need to create 50 pounds of the mixture
The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?
Pleaseee help)Put the following numbers in order from least to greatest:
-2 7/16, 1/8, -1 1/2, -1 3/4
Answer:
-2 7/6, -1 3/4, -1 1/2, 1/8
Step-by-step explanation:
The "greater" the number is when it's negative, the less value it actually holds. Therefore, -1 3/4 is less than -1 1/2!
Two forces of 494 newtons and 590 newtons act on a point. The resultant force is 1079 newtons. Find the angle between the two forces.
Answer:
Use Law of Cosines
Step-by-step explanation:
1079²= 590² + 494²- (2)(590)(494) cos θ.
Need help 10 points
Answer:
50.24
Step-by-step explanation:
8 is the radius of the circle, so using A=πr^2, the equation would be A=(3.14*8^2)/4
(Dividing by 4 because we are solving for 1/4 of a circle, and substituting pi for 3.14)
(3.14*8^2)=200.96
200.96/4=50.24
Need some help here IMMEDIATELY!! :(
Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Answer: C option
Step-by-step explanation:
Since the drawing is 5x more than real object then we have to divide the numbers
a= 35/5 = 7
b= 30/5 = 6
c= 15/3 = 3
give two coterminal angles (one positive and one negative) and the reference angle. 290
The coterminal angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.
What is coterminal angles?Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have an angle:
290 degree
To find the coterminal angle, add and subtract 360 degree in the angle 290 degree.
Coterminal angle = 290 + 360 = 650 degree
= 290 - 360 = -70 degree
Reference angle = 360 - 290 = 70 degree
Thus, the coterminal angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.
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SOMEONE PLEASE HELPPPP
I need help on 3 and 4
Answer:
Step-by-step explanation:
Parallel lines and transversal:Linear pair: When the uncommon arms of two adjacent angles form a straight line, the adjacent angles are called linear pair and they add upto 180
3) ∠3 + ∠2 = 180
65 + ∠2 = 180
∠2 = 180 - 65
∠2 = 115°When parallel lines are intersected by transversal, alternate exterior angles are congruent.
a // b and d is transversal.
∠5 = ∠11
∠5 = 100°
When parallel lines are intersected by transversal, the alternate interior angles are congruent.
a // b and c is transversal
m∠13 = ∠3
∠13 = 65°
4) ∠3 & ∠14 are co-interior angles. Co-interior angles are supplementary.
∠3 + ∠14 = 180
65 + ∠14 = 180
∠14 = 180 - 65
∠14 = 115°
∠5 + ∠8 = 180 {Linear pair}
100 + ∠8 = 180
∠8 = 180 - 100
∠8= 80
∠9 = ∠11 {vertically opposite angles are congruent}
∠9 = 100
∠ 3 + ∠14 + ∠ 8 + ∠9 = 65 + 115 + 80 + 100
= 360°
Logan has several job offers in different cities. what should he research to determine how much money he will have to spend as he wishes? cost of living in each location schedule he will be required to work number of libraries, parks, museums, and sporting event locations in each city distance each city is from his family and friends
Before Logan accepts any of the job offers in the several cities that he got, he must consider the cost of living in each location.
Factors to consider when moving to a new cityWhen moving to a new city, certain considerations are of utmost importance to the individual irrespective of the kind of job he/she does.
Before Logan accepts any of the job offers in the several cities that he got, he must consider the cost of living in each location.
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Answer:
I believe the answer is A. Cost of living in each location
Step-by-step explanation:
ANSWER ASAP, find the area. Use 3.14 if needed. Round to nearest hundredth
Graph the equation y=-1/8x^2+x-4
Find the mean, variance, and standard deviation for the data set.
6, 16,7 ,3 ,10 ,8 ,12 ,5 ,18 ,5
Mathematics
This question has four parts. Be sure to label each part of your response.
A coach recorded the number of goals scored by a soccer team in each of its last
3, 2, 10, 2, 1, 5, 3, 2, 1,5
A. What are the first quartile, the median, and the third quartile of the data? Be sure to label each one,
B. What is the interquartile range of the data? Show or explain how you got your answer.
C. The value 10 in the data is an outlier. Explain how this outlier affects the distribution of the data,
D. If the value 10 in the data is replaced by the mode, by how much will the mean change? Show or explain how you got your answer.
Answer:
there no data
Step-by-step explanation:
Find the median of the first and third quartiles81, 69 ,90, 79, 59, 125, 95, 116, 183, 97, 92, 50, 122, 55, 9250, 55, 59, 69, 79, 81, 90, 92, 92, 95, 97, 116, 122, 125, 183.The first quartile: 50, 55, 59, 69, 79, 81, 90: median of the first quartile is 69The third quartile: 92, 95, 97, 116, 122, 125, 183: median of the third quartile is 116.The interquartile range is the difference between the median of both the first and third quartile: which is 116 - 69 = 47.There are no outliers in this set of data
pls help me out i cannot solve this, this is khan academy btw
The graphed inequality can be written as:
y < -(4/3)*x + 5
How to find the inequality?
At first, we can notice two things, the shaded region is below the line, and the line is a dashed line, so we know that the inequality will be:
y < linear equation.
The linear equation is something like:
y = a*x + b
By looking at the graph, we can see that the line passes through (0, 5) and (3, 1).
So the y-intercept is 5.
And the slope is:
a = (1 - 5)/(3 - 0) = -4/3
So the linear equation is:
y = -(4/3)*x + 5
And the inequality is:
y < -(4/3)*x + 5
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how many miles per gallon did mr.crosby's car get if he drove 200 miles on 15 gallons of gas
Answer:
13.33 miles
Step-by-step explanation:
let the miles per gallon = X
from the question,
200miles--------------15gallons
X miles-------------------1 gallon
cross multiplying
X×15 = 200×1
dividing bothsides by 15
X= 200/15
X= 13.33 miles.
X+4/x^2+3x-10 - x-1/x^2+2x-8 Simplify
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] can be done in the following manner,
[tex]\dfrac{x+4}{x^2+3x-10} - \dfrac{x-1}{x^2+2x-8}\\\\\\= \dfrac{x+4}{(x-2)(x+5)} - \dfrac{x-1}{(x+4)(x-2)}\\\\\\= \dfrac{(x+4)(x+4)- (x-1)(x+5)}{(x+4)(x-2)(x+5)} \\\\\\= \dfrac{x^2+16+8x-x^2-5x+x+5}{x^3+7x^2+2x-40}\\\\\\=\dfrac{4x+21}{x^3+7x^2+2x-40}[/tex]
Hence, the simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).
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