Answer:
12
Step-by-step explanation:
Adding a to both sides of the second equation we get b = a+1
Substituting this in we get
10a + 10 - 9a=6
a +10 =6
a=-4
Putting this back in to the second one we get b+4=1
B=-3
-4*-3=12
The value of ab = 36.
We have the following equations -
10b - 9a = 6
b - a = 1
We have to determine the value of ab.
If [tex]a^{2} -b^{2} = \pi[/tex] and [tex]a + b = 4\pi[/tex] then the value of (a - b) will be ?We have - [tex]a^{2} -b^{2} = \pi[/tex]
(a + b) (a - b) = [tex]\pi[/tex]
a - b = [tex]$\frac{\pi }{4\pi }[/tex] = 1/4
According to question, we have -
10b - 9a = 6
b - a = 1
Now -
b - a = 1
a = b
Therefore -
10b - 9a = 6
10b - 9b = 6
b = 6 = a
ab = 6 x 6 = 36
Hence, the value of ab = 36.
To solve more questions on finding unknowns, visit the link below -
https://brainly.com/question/14728313
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PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.
Enter your answer into the blank equation box.
Answer:
equation in standard form is -3x + 5y = -26
Step-by-step explanation:
standard form of equation of line is
Ax + By = C
where A,B and C are integers.
such line has slope -A/B
Another form of line equation is slope intercept form, which can be written as
y = mx+ c
since in problem m = 3/5
thus, equation is
y = 3/5 x + c
Given that (2,-4) passes through this line, this point will satisfy the above equation
-4 = 3/5 *2 + c
=> - 4 = 6/5 + c
=> c = -4 -6/5 = (-4*5 - 6)/5
=> c = (-20 - 6)/5 = -26/5
Thus, equation in slope intercept form is
y = 3/5 x -26/5
lets rewrite this equation in Ax + By = C
Multiplying LHS and RHS by 5 we have
5y =( 3/5 x)* 5 - (26/5 * 5)
=> 5y = 3x - 26
we have to bring 3x on LHS for that
we subtract 3x from both side
5y -3x = 3x - 26 -3x
=> 5y -3x = - 26
rearranging the equation
-3x + 5y = -26
Thus, equation in standard form is -3x + 5y = -26
Please help! Correct answer only!
You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 20. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is even, you win $34. If the number the ball lands on is odd, you win nothing. If you play the game, what is the expected payoff?
Answer:
" Expected Payoff " - 17 Dollars ; Type in 17
Step-by-step explanation:
Consider the probability of landing in an odd section;
[tex]Sections of the Wheel - 20 Sections,\\Numbers Numbered On the Wheel - 1 To 20,\\\\Odd Numbers = Even Numbers,\\Odd Numbers = 20 / 2 = 10,\\Even Numbers = Odd Numbers = 10,\\\\Probability of Spinning Even - 10 / 20 = ( Simplified ) 1 / 2,\\Money Won = 34 Dollars,\\\\Proportionality - 1 / 2 = x / 34, Where, x = " Expected Payoff "\\1 / 2 = x / 34,\\2x = 34,\\x = 17 Dollars,\\\\Conclusion ; " Expected Payoff " = 17 Dollars[/tex]
Solution ; Provided Directly Above
7x + 14 - 17-3x = 6x - 4z + 2 - 5 find the value of x
3 5 3
Answer:
when z=3 or 5 , values of x is ; 6 or 10.
I think that there is a lack of information or misspelling in the question.
Step-by-step explanation:
4x-3=6x-4z-3
4z=2x
2z=x
z=3 => x=6
z=5 => x=10
Which bar diagram represents the equation 5x + 7.5 = 15?
5X
7.5
15
7.5
5X
15
15
5x
7.5
LO
7.5x
15
Mark this and return
Save and Exit
Next
Answer:
it would be C i took the test
Step-by-step explanation:
Answer:
The answer would be C because i just took the test and got it right hope this helps.
Step-by-step explanation:
Given that Triangle ABC such that
a=8cm, b=7cm and c=9cm
tem and c= 9cm find Cos B
Answer:
We use cosine rule also called cosine law which states
c^2=a^2+b^2-2abcosC
given
a=8cm, b=7cm, c=9cm cos C?
9^2=8^+7^2-2*8*7 cos C
expand
81=64+49-112 cos C
like terms together
81-113=-112 cos C
-32=-112cos C
multiply both sides by -1
32=112cos C
divide both sides by 112
32/112=cos C
cosC=0.2857
find cos inverse of 0.2857
angle C= 73.40
Express 0.96 as an percent
Answer:
96%
Step-by-step explanation:
0.96 × 100/100
(0.96 × 100)× 1/100 = 96/100
percentage = 96%
Answer:
96%
Step-by-step explanation:
Pls pls help me with this
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is not white? Give your answer as a fraction in lowest terms.
Please help!!!
Answer:
2/3
Step-by-step explanation:
The first person to make me become Brainliest wins the official contest!!! Hurry!
Answer:
I'm not sure but it might be 2/3????? That's just from looking at Spatrickfarley's answer. He deserves Brainliest!
Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total
Answer:
23 lapices
Step-by-step explanation:
Él tiene 3 cajas.
Cada caja contiene 3 botones.
Cada botón contiene 3 lápices.
La cantidad de lápices que tendrá en total es:
[tex]N = 3 * 3 * 3 = 3^3 = 27[/tex]
Tendrá 23 lápices
In which number is the value of the 6 ten times the value of the 6 in the number
6,000?
Answer:
600
Step-by-step explanation:
the value of 6 in 6000 is thousands
600x10=6000
Answer:
Step-by-step explanation:
the weights of cars passing over a Bridge have a mean of 3550 lb and a standard deviation of 870 lb. Assume that the weights of the cars passing over the bridge, Lee distributed. Use the empirical rule to estimate the percentage of the cars going over the bridge whose weights are more than 4420 lbs.
Answer:
a. 16%
Step-by-step explanation:
The difference from the mean is ...
(x - µ) = 4420 lb -3550 lb = 870 lb
Then the minimum Z-score of the traffic of interest is ...
(x - µ)/σ = (870 lb)/(870 lb) = 1
__
The "empirical rule" tells you that 68% of a normal distribution is within 1 σ (Z = ±1) of the mean. If 68% is inside that range, then the remaining 32% is outside that range. The normal distribution is symmetrical about the mean, so half that quantity is below Z = -1, and the other half, 16%, is above Z=1.
About 16% of the cars have weights more than 4420 pounds.
in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine, the rate of flu infection was just 3.5%. What conclusion should you draw?
Answer:
[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define significance level
In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:
Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]
=> [tex]z[/tex] = [tex]-1.645[/tex]
Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])
[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083
[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083
Step 3: Apply the formula to check test statistic:
[tex]K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}[/tex]
with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.
The null hypothesis will be rejected if [tex]K < z[/tex]
Step 4: Calculate the value of K and compare with [tex]z[/tex]
[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]
We have [tex]-2.46 < -1.645[/tex]
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As [tex]H_{1}[/tex] states)
Hope this helps!
:)
Here is a circle touching a square. The area of the square is 36cm squared. Work out the area of the circle. Give your answer in terms of (Pi)
Answer:
see below
Step-by-step explanation:
Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.
The total time that Ken and Bob worked in a week was 63 hours. Ken worked 36 hours. What is the ratio of Bob's working hours to Ken and Bob's total working hours?
Answer:
33
Step-by-step explanation:
beacause you have to minus to find th aspect ratio I beleive.
The bar graph shows the results of rolling a number cube (die) 50times. What is the experimental probability of rolling each of the number on the number cube?
Column A Column B
1. a. 18%
2. b. 8%
3. c. 22%
4. d. 16%
5. e. 20%
6.
c. 22%
Step-by-step explanation:
sorry for no explanation
Please help with this question
answer:
is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!
Answer:
a) 1/(7x-14)
b) 2 (36-y^2)
Step-by-step explanation:
Please let me know if you need explanation
the blueprints at addison circle is a sculpture that took 18,000 worker-hours to construct using over 410,000 pounds of steel. The piece of art is placed within a traffic circle with a diameter of 133 feet. find the area of the circle. Round to the nearest tenth of a square foot.
Answer:
Area = 13,898.5 ft^2
Step-by-step explanation:
Here, we are tasked with calculating the area of the circle given the value of the diameter.
Mathematically, the area of a circle is;
A = pi * d^2/4
Where d here is 133 feet
A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
y = 9x
Step-by-step explanation:
The y intercept is zero since it goes through the point (0,0)
We need to find the slope
m = (y2-y1)/(x2-x1)
= (9-0)/(1-0)
= 9/1
Putting this into slope intercept form y = mx+b
y = 9x +0
y = 9x
(PLS HELP WILL MARK BRAINLIEST) Which of these is an approximation of 7/9
to the nearest hundredth?
A) 0.078
B, 0.78
C) 1.29
D) 7.8
Answer:
B
Step-by-step explanation:
7/9 = 0.777777...
This rounds to 0.78
please could you help me with these questions! they would be quick
Answer:
Where are the questions....?
Answer:
Hey!
Well there aren't any question up here!!
Step-by-step explanation:
Maybe put another one!
Hope this helps!
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie's explanation? Kylie is correct. Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly. Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly. Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
Answer:
Given:
Step-by-step explanation:
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
This is because the product will be a trinomial and the polynomial will not result in a difference of squares. A difference of squares is when the factor are inverse to each other.
C- Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
A farmer harvested 21 1/4 fewer bushels of sweet corn this year than the previous year. If the farmer's sweet corn crop is planted across 3 acres, what is the average loss per acre?
Answer: 85/12 fewer bushels per acre
Step-by-step explanation:
Hi, to answer this question we have to write an expression with the information given and solve it:
We simply have to divide the total loss (21 1/4) by the number of acres (3):
Mathematically speaking:
21 1/4 ÷3 = (21(4) +1)/4 ÷3 = 85/4 ÷ 3= 85/12 fewer bushels per acre
Feel free to ask for more if needed or if you did not understand something
The average loss per acre is [tex]7\frac{1}{12}[/tex]
The average loss per acre = difference in bushels harvested last year and this year ÷ total number of acres
[tex]21\frac{1}{4}[/tex] ÷ 3
In order to solve this question, the mixed number has to be changed to an improper fraction.
Steps to take :
1. Multiply the whole number by the denominator ( 4 x 21 = 84)
2. Add the numerator to the answer gotten in the previous step (84 + 1 = 85)
3. divide the number gotten in the previous step by the denominator (85/4)
[tex]\frac{85}{4}[/tex] ÷ 3
= [tex]\frac{85}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{85}{12}[/tex] = [tex]7\frac{1}{12}[/tex]
A similar question has been solved here: https://brainly.com/question/580268?referrer=searchResults
The product of Chau's height and 5 is 70.
Answer: 14
Step-by-step explanation: chau's height = x
x * 5 =70
5x = 70
x = 70/5
x = 14
Shawna says her mug holds 100 milliliters. She’ll says that the mug holds 1 liter. Is Shelly correct?
Answer:
In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no.
Answer:
no shes wrong it does not hold a liter
Step-by-step explanation:
Record 3 2/25 as a decimal. Please help!!!!!
Answer:
1.28 is the decimal form
Step-by-step explanation:
and 128/100 or 128% is the percentage for 32/25.
// have a great day //
Given the following functions, find each: f(x)=x2+5x−14 g(x)=x−2 (f+g)(x)= (f−g)(x)=
Answer:
(f+g)(x) = x²+5x-14 + (x-2)
= x²+5x-14+x-2 = x²+6x-16
(f-g)(x) = x²+5x-14 - (x-2)
= x²+5x-14 - x+2
= x²+5x-14-x+2 = x²+4x-12
Please explain and show work. In the function f(x)=cosx, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is added to the function. Explain the effects this has on the graph of the function (i.e. horizontally, vertically, compressed, stretched, etc.).
Your graph will actually look like an oscillation (wave), it will be more compressed horizontally. As the value of x increases withe very whole number, your graph will compress horizontally. More like in the image below.
please help!!!!!!! just click on picture to see question
Answer:
g(n) = - 19 + (n - 1)*6
Step-by-step explanation:
The way to do this is to try a couple and then see if you can make some sort of equation that follows the rule.
g(1) = - 19
=============
g(2) = g(2 - 1) + 6
g(2) = g(1) + 6
g(2) = -19 + 6
g(2) = -13
=============
g(3) = g(2) + 6
g(3) = -13 + 6
g(3) = - 7
==========
g(4) = g(3) + 6
g(4) = - 7 + 6
g(4) = - 1
==========
g(5) = 5
g(6) =11
===========
Now the hard part. You have to start with - 19
The nth term is g(n) = - 19 + (n - 1)*6
Now see if it works.
g(7) = - 19 + (7 - 1)*6
g(7) = - 19 + 6 * 6
g(7) = -19 + 36
g(7) = 17
Is that correct?
g(7) = g(n - 1) + 6
g(7) = g(6) + 6
g(7) = 11 + 6
g(7) = 17 Seems to be the same as the explicit formula gives.
1. Identify the domain of the following function:{(8,7),(4,9),(0,0),(1,17)} *
A. {0,7,9,17}
B. {0,1,4,8}
2.Identify the range of the following function:{(8,7),(4,9),(0,0),(1,17)} *
A.{0,7,9,17}
B.{0,1,4,8}
Answer:A
Step-by-step explanation: The range are all othe y values (the outputs) in chronological order
When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain the reasons why a graph would, or would not, represent a function.
Answer:
The vertical line test is a way for you to see if a graph represents a function. It allows you to identify if any x values have more than one y value.
A graph would be a function if every input (x) has exactly one output (y). A graph would not be a function if an input (x) has more than one output (y).
Step-by-step explanation:
In a function, every input within the domain of the function must have exactly one output. If the graph has an input that has more than one output, then it is not a function. The vertical line test is what allows you to see if a graph is a function or not.
Answer:
When given a graph, the vertical line test can be used to determine functionality. The vertical line test would represent a function if no more than one point of the graph of a relation, this shows that only one output value for each input value. If this doesn't apply or more than one point is on the line then it would not represent a function.
Step-by-step explanation:
Draw vertical lines to intersect on a graph.
The relation is a function if there’s only one point of intersection on a graph.
The relation is not a function if there’s more than one point of intersection on a graph.
The vertical line test is used to determine if each input has exactly one output.
