Answer: [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation is in the slope-intercept format of y=mx+b
In this format the slope is m
In this case m is [tex]\frac{3}{4}[/tex]
A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in the simplest form.
For what value of c does the following system not have a solution.
1/2x+1/5y=2
5x+2y=c
Answer:
The answer is 3. 1. There is '0' point of intersection, that means they do not intersect. This only possible when the lined are parallel to each other.
'c' can be any real number except 4 for which the considered system would have no solution.
When does a system of linear equation have no solution?When both the lines(represented by both the equations) are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.
If they are coincident (lying over each other), then there will have infinite solution since in that case, they will have infinite points in common.
Thus, if two lines are not in any of above case, they intersect at single point and in that case, the considered system of equation has unique single solution.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
[tex]y = mx +c[/tex]
Parallel lines(non-coincident) have same slope but different y-intercept.
Converting these equations to slope-intercept form, we get:
For first line:
[tex]\dfrac{1}{2}x + \dfrac{1}{5}y = 2\\\\ \dfrac{1}{5}y = 2 - \dfrac{1}{2}x\\\\y = 10 - \dfrac{5}{2}x\\\\y = -\dfrac{5}{2}x + 2[/tex]
and
For second line:
[tex]5x + 2y = c\\\\y = \dfrac{1}{2}c - \dfrac{5}{2}x\\\\y = -\dfrac{5}{2}x + \dfrac{c}{2}[/tex]
For no-solution, we need both lines to stay parallel but not coincident so that there is no common point (solution of this system) between those two lines.
Thus, we get:
[tex]2 \neq \dfrac{c}{2}\\\\\text{Multiplying 2 on both the sides}\\\\c \neq 4[/tex]
Since 'y' assumes real numbers assumingly, so 'c' can be any real number except 4 for which the considered system would have no solution.
Below is image attached of those parallel lines when c = 10.
Thus, 'c' can be any real number except 4 for which the considered system would have no solution.
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Consider the function f(x) = x2 + 8x +1. Which equation shows function f written in vertex form?
f() = (x + 8)2 +1
f(x) = (x – 4)²+1
f(x) = (x – 8)² – 17
f()= (x +4)2 - 15
Answer:
4th option
Step-by-step explanation:
f(x) = x² + 8x + 1
using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 1
= (x + 4)² - 15 ← in vertex form
Pls pls pls help ill give you whatever :(
Answer:
4
Step-by-step explanation:
[tex] \sqrt[5]{32^2} = (\sqrt[5]{32})^2 = 2^2 = 4 [/tex]
5/6-1/8 Solve by finding a common denominator
A)30/48
B)34/48
C)38/48
D)42/48
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
__
The difference is ...
[tex]\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}[/tex]
__
Additional comment
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
__
Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.
List the integers that satisfy both these inequalities.
2x + 9 < 0
x > -12
Answer:
-5, -6, -7 ,-8, -9, -10, -11
Step-by-step explanation:
what is circles and conditional probability
Answer:
what you mean about circles but i do know probability
Step-by-step explanation:
conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
Julian is a manager at a clothing store for teens. he is analyzing the order for next season. data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5. however, julian thinks the average may have changed due to a recession. he finds that the last three seasons of data show that teens spent an average of $68 on a pair of jeans. therefore, he performed a hypothesis test to see if the recent average is the same. julian used a significance level of 5% to perform the test. which of the following statements is valid based on the results? julian’s data shows that the recent seasons’ average jean price is not $75. julian’s data shows that he should order fewer jeans than before. julian’s data shows that the recent seasons’ average jean price is still $75. julian’s data is inconclusive, so he should order the same number of jeans.
Julian’s data shows that the recent seasons’s average jeans price is not $75.
Julian is a manager at a clothing store for teens.
He is analyzing the order for next season.
What is the average price?
The average price is the mean price of an asset or security observed over some period of time
data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5.
however, Julian thinks the average may have changed due to a recession.
The answer is A).
Julian’s data shows that the recent seasons’s average jeans price is not $75.
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Answer:
Julian’s data shows that the recent seasons’ average jeans price is not $75.
Step-by-step explanation:
edge 2022
The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x = 42 x2 2x = 42 x2 x 42 = 0 x2 2x 42 = 0
The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
The sum of a number and its square is 42.
Let x be the number. Then the square of that number will be x².
Then we have
x + x² = 42
More about the Algebra link is given below.
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Answer:
a
Step-by-step explanation:
ONLY ANSWER IF YOU KNOW THE ANSWER (15 POINTS HELP PLEASE)
CORRECT ANSWER WILL GET BRAINLEST AND LINKS WILL BE REPORTED
THANKS.
A number cube with six sides numbered 1 through 6 is rolled. The probability of rolling a 5 is 1/6.
What is the probability of not rolling a 5?
Enter your answer as a fraction, in simplest form, in the box.
Answer:
The probability of all events occurring is 1
(1/6)+p=1
p=1-1/6
p=5/6
The probability of not rolling 5 is 5/6
Or you could have just said there are five numbers other than 5 out of the six so:
5/6
Point JJ is located at (-4,5) on the coordinate plane. Point J is reflected over the x-axis to create point J′. What ordered pair describes the location of J'?
Answer: (-4, -5) in 3rd Quadrant
Step-by-step explanation: Reflection across x axis only flips the sign of y coordinate
Hello, i am currently having a hard time in school for a while if anybody can help me out it would be greatly appreciated
Answer:
36 m
Step-by-step explanation:
PT = x
This is True because of similar sides [tex]\frac{8}{x} = \frac{7}{14}[/tex]
solve for x to get PT and you get 16
Then to find the perimeter you would do P = PR + PR + PT = 6m + 14m + 16m = 36m
Answer:
36 m
Step-by-step explanation:
Line QS = (1/2) Line PT
8 m = (1/2) Line PT
Line PT = 16 m
Perimeter = 3 + 3 + 7 + 7 + 16
P = 36 m
I hope this helps!
This list gives the height of different plants in inches.
10.25, 11.25, 11.00, 10.50, 10.50, 11.00, 10.75, 10.25, 11.00, 10.25, 10.50, 10.75, 10.25, 10.25, 10.50, 11.25, 11.00, 10.75
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
answer
their are 4 10.25 and 4 10.50 and 4 11.00 and 2 11.25 and
Step-by-step explanation:
ok so you just need to put those on the line plot
Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's base. Using surveyor's tools, Nick measured the angle between the ground and the highest point reached by the top blade and found it was 38.8°. He measured the angle between the ground and the lowest point of the top blade and found it was 30°. Determine and state a blade's length, x, to the nearest foot.
Using the slope concept, it is found that rhe blade's length is of 90 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the horizontal change is of 440 feet.
At the highest point, the angle is of 38º, hence:
[tex]\tan{38^\circ} = \frac{h_1}{440}[/tex]
[tex]h_1 = 440\tan{38^\circ}[/tex]
[tex]h_1 = 344[/tex]
At the lowetst point, the angle is of 30, hence:
[tex]\tan{30^\circ} = \frac{h_2}{440}[/tex]
[tex]h_2 = 440\tan{30^\circ}[/tex]
[tex]h_2 = 254[/tex]
Hence, the difference is:
[tex]h_2 - h_1 = 344 - 254 = 90[/tex]
The blade's length is of 90 feet.
More can be learned about the slope concept at https://brainly.com/question/18090623
Which expressions are equivalent to ? Choose all the correct answers. Show your work.
Answer:
C, D, F
Step-by-step explanation:
Exponent rules:
[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]a^{-n}=\dfrac{1}{a^n}[/tex]
[tex]\dfrac{1}{a^{-n}}=a^n[/tex]
[tex]a^n \cdot b^n=(ab)^n[/tex]
[tex]a^0=1[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]\textsf{A}\quad\dfrac{24^{-3}}{24^{-4}}=24^{-3-(-4)}=24^1=24[/tex]
[tex]\textsf{B}\quad3^{-2} \cdot 8^{-5}=\dfrac{1}{3^2} \cdot \dfrac{1}{8^5}=\dfrac{1}{9} \cdot \dfrac{1}{32768}=\dfrac{1}{294912}[/tex]
[tex]\textsf{C}\quad\left(\dfrac{1}{24^{-7}}\right)^{-1}=\left(24^7\right)^{-1}=24^{-7}[/tex]
[tex]\textsf{D}\quad\dfrac{8^{-7}}{3^7}=\dfrac{1}{8^7 \cdot 3^7}=\dfrac{1}{(8 \cdot 3)^7}=\dfrac{1}{24^7}=24^{-7}[/tex]
[tex]\textsf{E}\quad24^7 \cdot 24^0=24^7 \cdot 1=24^7[/tex]
[tex]\textsf{F}\quad(24^3 \cdot 24^4)^{-1}=\left(24^{3+4}\right)^{-1}=(24^7)^{-1}=24^{-7}[/tex]
HELP! WILL GIVE BRAINLEST! Which statement is accurate for the right triangle shown below?
csc(α) = 0.94
cot(α) = 0.36
sec(α) = 1.06
sec(α) = 0.94
Answer:
3rd choice: sec(a) = 1.06
Step-by-step explanation:
sec(a) = (hypotenuse)/(adjacent leg)
The statement that is accurate for the right triangle shown below is C. sec(a) = 1.06
What is the accurate statement?The accurate statement is the one that can help us arrive at the correct angle in the diagram. That is sec(a) = 1.06. The formula is given as follows:
(hypotenuse)/(adjacent)
In the question we have, the hypotenuse is 50 while the adjacent is 47. Note that the hypotenuse is the longest side of the triangle, and the adjacent is often represented by the base.
So, we have;
50/47 = 1.06
Thus to find the angle for alpha in the triangle shown, the right statement would be; sec(a) = 1.06.
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Convert 4 3/5 cups to pints.
Answer:
2.3 pints
Step-by-step explanation:
4.6 cups = 2.3 pints
Which statistical measure is not strongly affected by a few outliers in the data?.
Answer: Median
The median is not affected by large or small outliers.
The mean on the other hand is affected by outliers. The more distant the outlier, the more skewed the mean will be.
For example, home prices will have a larger than normal mean because of very rich mansions which are far above the average group. This is why the median home price is a more useful measure of center.
Enter an expression that shows the sum of exactly two terms that is equivalent to 6m + 3n + 8m + 5n
Answer: 14m+8n
Step-by-step explanation:
Simplify the expression
6m+3n+8m+5n
6m+8m+3n+5n
14m+8n
It is the same expression except that it is simplified and contains only 2 terms
It costs a zoo $3 to feed the kookaburras for 4 hours. Write an equation relating the total cost y to the number of hours x.
Answer:
y=0.75x
Step-by-step explanation:
$3 for every 4 hours
$0.75 for every hour
y=0.75x
The equation relating the total cost (y) to the number of hours (x) is y = 0.75x.
The equation that relates the total cost (y) to the number of hours (x) can be derived from the given information. We know that the cost is $3 for 4 hours of feeding kookaburras.
The cost is proportional to the number of hours, and we can represent this relationship using a linear equation:
Cost = Rate × Hours
In this case, the rate is the cost per hour, which is $3 / 4 hours = $0.75 per hour.
Therefore, the equation relating the total cost (y) to the number of hours (x) is:
y = 0.75x
Here, "y" represents the total cost, and "x" represents the number of hours. This equation reflects the linear relationship between the total cost and the number of hours of feeding kookaburras in the zoo.
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If a person with an hourly pay of $9.50 per hour gets a 20% raise, what is the new hourly pay?
The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º
A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
What is heptagon?A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
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Answer:
C. 124
Step-by-step explanation:
E2020
Jesse planted several marigold seeds in his garden and, several weeks later, measured and recorded the height (in centimeters) of each plant. The data is organized in the frequency table shown. Of those planted, how many marigolds are less than 4 cm or more than 10 cm long?
A.) 1
B.) 5
C.) 2
D.) 3
Answer:
D. 3
Step-by-step explanation:
Look at how many are less than 4cm (1) and how many are more than 10 (2) and add them together (1+2=3)
Find measure of 2!!!!
Please write the answer quickly- and in degrees!!!!
What is the completely factored form of x4 8x2 – 9? (x 1)(x – 1)(x 3)(x 3) (x 1) (x minus 1) (x squared 9) (x2 – 1)(x 3)(x – 3) (x 1)(x 1)(x 3)(x 3)
The complete factor of the polynomial expression is (x² + 9)(x – 1)(x + 1), then the correct option is B.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is given as
x⁴ + 8x² – 9
Then by the factorization, we have
x⁴ + 8x² – 9
x⁴ + 9x² – x² – 9
x²(x² + 9) – 1(x² + 9)
(x² + 9)(x² – 1)
(x² + 9)(x – 1)(x + 1)
More about the factorization link is given below.
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Answer:b
Step-by-step explanation:
on edg 2022
PLEASE HELP I WILL GIVE YOU BRAINLEY CROWN
The volume of a rectangular prism is 162 cm
If the height is doubled, what is the new volume?
Answer:
1296 cm³
Step-by-step explanation:
Given
Volume of original rectangular, V = 162 cm³V = lwhSolving
Here it is mentioned the height is doubledTherefore, h is now 2hSubstitute in the volume formulaV = lw(2h)³V = 8 x lwhV = 8 x 162V = 1296 cm³Answer:
1296 cm³
Original Rectangle:
height : H
volume : 162 cm³
New Rectangle:
height : 2H
volume : x (let it be x)
Solve:
[tex]\rightarrow \sf (\dfrac{H}{2H})^3 = \dfrac{162}{x}[/tex]
[tex]\rightarrow \sf (\dfrac{1}{2})^3 = \dfrac{162}{x}[/tex]
[tex]\rightarrow \sf x = 1296[/tex]
I NEED HELP ASAP
if p=(-4 7) find ry-axis (p)
Answer:
4 , 7
Step-by-step explanation:
It worked in my app so... :)
4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction
Answer:
35
Step-by-step explanation:
4+1/3 ÷5=1/6
4+5/3=1/6
Multiply each side by the L.C.M which is 6
24+10+1
35
A right rectangular prism has a length of 6 centimeters a width of 2 centimeters and a height of 5 centimeters what is the surface area of the prism
it is 2 centimeters I hope that helps and I hope I'm not late
Instructions: Find the missing side. Round your answer to the nearest tenth
Answer: x ≈ 8.9 units
Step-by-step explanation:
We can use trigonometric functions to help us solve this question.
[tex]\displaystyle sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle sin(43)=\frac{x}{13}[/tex]
[tex]\displaystyle 13(sin(43))=x[/tex]
[tex]\displaystyle x= 13(sin(43))[/tex]
[tex]\displaystyle x= 8.86597868[/tex]
[tex]\displaystyle x \approx 8.9[/tex]