Answer:
5.25 x 40 = 210
210 + 310.50 = 520.5 \0
his total earning is 520.50
Step-by-step explanation:
question 1 and 2 please :) (exact form)
Answer:
1. x = 6 cm
2. The coordinates of the x-intercept are (-15.798879, 0) and (8.177004, 0)
b) The maximum value of is y is approximately 459.874
The value of 'x' for which the maximum occurs is x is -3.8109375
c) 'k' is approximately -15.63748 or 'k' is approximately 8.0156
Step-by-step explanation:
1. The area of rectangle ABCD - Area of triangle ABP = 114 cm²
Therefore, we have;
The area of rectangle ABCD = (2·x - 3)·(3·x + 1)
∴ The area of rectangle ABCD = 6·x² + 2·x - 9·x - 3 = 6·x² - 7·x - 3
The area of triangle ABP = 1/2 × (3·x + 1)·x = 3·x²/2 + x/2
The area of rectangle ABCD - Area of triangle ABP = 6·x² - 7·x - 3 - 3·x²/2 - x/2
6·x² - 7·x - 3 - 3·x²/2 + x/2 = 9·x²/2 - 13·x/2 - 3 = 114
9·x²/2 - 15·x/2 - 3 = 114
9·x² - 15·x - 6 - 228 = 0
9·x² - 15·x - 234 = 0
x = (15 ± √((-15)² - 4 × 9 × (-234)))/(2 × 9) = (15 ± 93)/18
∴ x = 6 or x = -13/3
Given that x is a natural number, we have that x = 6 cm
2. The given equation is 'y = -3.2·x² - 24.39·x + 413.4'
Therefore, we have;
The x-intercept are the values of 'x', where the value of 'y' is 0
Therefore, we have, at the x-intercept;
y = 0 = -3.2·x² - 24.39·x + 413.4
By the quadratic formula, we have;
x = (24.39 ± (√((-24.39)² - 4×(-3.2)×413.4)))/(2 × (-3.2))
x ≈ -15.798879 or x ≈ 8.177004
The coordinates of the x-intercept are;
(-15.798879, 0) and (8.177004, 0)
b) The maximum is given at dy/dx = 0
Therefore, at the maximum point, we have;
dy/dx = d(-3.2·x² - 24.39·x + 413.4)/dx = -6.4·x - 24.39 = 0
dy/dx = -6.4·x - 24.39 = 0
∴ x = 24.39/(-6.4) = -3.8109375
x = -3.8109375 at the maximum point
At the maximum point, we have;
y = -3.2·x² - 24.39·x + 413.4 = -3.2·(-3.8109375)² - 24.39·(-3.8109375) + 413.4 ≈ 459.874
y ≈ 459.874
Therefore, the maximum value of 'y' is given as follows
[tex]y_{max}[/tex] ≈ 459.874
The value of 'x' for which the maximum occurs is x = -3.8109375
c) The coordinate of the point is (12.3, k), therefore, we have;
y = -3.2·x² - 24.39·x + 413.4
When y = 12.3, therefore, -3.2·x² - 24.39·x + 413.4 = 12.3
-3.2·x² - 24.39·x + 413.4 = 12.3
-3.2·x² - 24.39·x + 413.4 - 12.3 = -3.2·x² - 24.39·x + 401.1 = 0
By the quadratic formula, we have;
x = (24.39 ± √((-24.39)² - 4×(-3.2)×401.1))/(2 × (-3.2))
x ≈ -15.63748 or x ≈ 8.015600
Therefore, k ≈ -15.63748 or k ≈ 8.015600
2.(03.07)
Solve 2x^2 - 8x = -7. (2 points)
Answer:
Step-by-step explanation:
Make a quadratic:
2[tex]x^{2}[/tex]-8x+7=0
Then use quadratic formula to solve.
It would be x= 2 ± [tex]\frac{2}{\sqrt{2} }[/tex]
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Answer:
is not b
Step-by-step explanation:
i got an 80% on my test and i got this answer wrong and i chose b and it was wrong and it doesn't show me the correct answer plz give me at least 3 star rating im not wrong my answer is right just not specific.
Answer:
Answer is A
5x = −10
11x − 9y = −13
Step-by-step explanation:
Got it right on Edge
The two scalene triangles seen below are similar figures. What is the scale factor from the small scalene triangle on the left to
the large scalene triangle on the right? The scalene triangles are not drawn to scale.
Step-by-step explanation:
Scale factor
= Side length of big triangle / Side length of small triangle
= 12/5 = 24/10 = 33.6/14 = 2.4.
Answer: 2.4
Step-by-step explanation:
10 × 2.4 = 24
5 × 2.4 = 12
14 × 2.4 = 33.6
ABE is the image of ACD after a dilation centered at the origin. Which ratio is equal to the scale factor of k of the dilation
1.2/3
2.3/2
3.3/4
4.4/3
Answer:
3
Step-by-step explanation:
What is 9 5/32 as a decimal
Answer:
The correct answer is 9.15625
✧brainliest appreciated✧
Answer:
9.15625
Step-by-step explanation:
step 1- Convert the proper fraction to decimal: Divide the numerator by the denominator: 5 ÷ 32 = 0.15625
step 2- Add this decimal number to the whole number of the mixed fraction: 9+ 0.15625 = 9.15625
Therefore, the mixed number 9 5/32 converted to decimal number is: 9.15625
(can i get brainliest)
can somebody help me ?
Answer:
$3.07
Step-by-step explanation:
36.84/12=3.07
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Apples cost $0.95 per pound and bananas cost $1.10 per pound.
Leah bought a total of 8 pounds of apples and bananas for $8.05.
a+b=8
The system of equations
models this
0.95a + 1.10b = 8.05
situation, where a is the number of pounds of apples and b is
the number of pounds of bananas. How many pounds of each did
Leah buy?
1
Answer:
I think the answer would be 3.92682926829
Step-by-step explanation:
Honestly i dont think i did this right at all. But i hope i did.
Here is what i did:
0.95 + 1.10 = 2.05
8.05 divided by 2.05 = 3.92682926829
Im so sorry if you get this wrong. I honestly am having an off day. Good luck :(
Help ....................
Answer:
(helps)
Step-by-step explanation:
In ABC, AC is extended through point C to point D,
m< BCD = (9x - 1), m
m
Answer:
cx
Step-by-step explanation:
Solve the system of equations - 9x - 2y = -3 and -20 – 3y = 7 by combining the equations.
find the measure of the indicated angle ? no l
The interior angle of any triangle sum to 180° in measure, so that angle ACB has measure
m∠ACB = 180° - 67° - 35° = 78°
Angles ACB and BCD are supplementary because they occur on the same ray AD, which means they also sum to 180° in measure. Then angle BCD has measure
m∠BCD = 180° - 78° = 102°
Answer:
102 degrees
Step-by-step explanation:
for this problem, add the angles given to 180 degrees to find the remaining angle ACB in the triangle. Once you have that angle, you can subtract it from 180 degrees to find BCD, because side ACD is straight. By adding Angle CAB (67 degrees) and Angle ABC (35 degrees), you end up with the missing 98 degrees to reach 180 degrees. thus, when subtracting to find BCD on the straight of ACD, a value of 102 degrees remains for Angle BCD
EASY POINTS!?!?!?!?!?!
Write an equation with a variable for the situation below: Mike's high school played 17 hockey games this year. The team won most of their games. They were defeated during 4 games. How many games did they win?
Elena's distances and times for a training run are given by the equation , where represents distance in miles and represents time in minutes. Who ran faster during the training run?
Answer:
Elena's run for 1.17 miles in ten minutes
Step-by-step explanation:
From the question
y = 8.5 x ; where x is Distance in miles, and y is time in minutes
and y= 10 minutes
thus on substituting the respected values we get
10 = 8.5 x
⇒ x = [tex]\frac{10}{8.5}[/tex] = 1.17 miles
Therefore Elena's run for 1.17 miles in ten minutes
Dylan's mother gets a restaurant bill for $25. She has a coupon for 15% off. After the discount is applied, she adds 20% tip for the server. What is the total that Dylan's mom will pay at the restaurant?
Given:
Amount of bill = $25
Coupon = 15% off
Tip = 20% after discount is applied.
To find:
The total that Dylan's mom will pay at the restaurant.
Solution:
We have,
Amount of bill = $25
Discount = 15%
Amount after discount = 25 - 15% of 25
[tex]=25-\dfrac{15}{100}\times 25[/tex]
[tex]=25-3.75[/tex]
[tex]=21.25[/tex]
So, amount after discount is $21.25.
Tip = 20%
Total Amount = Amount after discount + Tip
[tex]\text{Total Amount}=21.25+\dfrac{20}{100}\times 21.25[/tex]
[tex]\text{Total Amount}=21.25+4.25[/tex]
[tex]\text{Total Amount}=25.5[/tex]
Therefore, Dylan's mom will pay total $25.5 at the restaurant.
A survey was conducted of 880 college students attending the same university. They were offered a list of 10 different internet service providers and were asked to select the one they prefer. Can a service provider receiving only 89 votes come out on top?
Answer: Yes
Step-by-step explanation:
From the question, we are informed that a survey was conducted of 880 college students attending the same university and that they were offered a list of 10 different internet service providers and were asked to select the one they prefer.
Basee on this information, if everyone selected equal numbers, each service provider will get (880 / 10 = 88 students). In this case, if someone has 89 votes, this means that another person will get 87 votes while the remaining 8 service providers gets 88 students each. Therefore, the device provider with 89 votes can come out on top.
Cyanobacteria, also known as blue-green algae, are a kind of bacteria found in many lakes. These organisms make their own food through photosynthesis. Small animals, including mayfly larvae, eat the cyanobacteria. Small fish, such as yellow perch, eat the mayfiy larvae. The small fish provide food for larger fish, such as walleye. Choose the level of the food pyramid that represents the energy role of cyanobacteria in the lake ecosystem.
Level 1
Level 2
Level 3
Level 4
Help, Please and thank you!
Answer:
Last one
Step-by-step explanation:
The slope intercept form is: y=mx +b
m=the slope and b is the y intercept
so it would be the last one
What is the value of the expression below when
x = 3?
7x -4
Answer:
17
Step-by-step explanation:
7(3) - 4
21 - 4
17
Answer:
i dont know
Step-by-step explanation:
i dont know
The number of grams of zero-calorie sodium in a restaurant meal is compared to the total number of calories in the meal. The correlation coefficient relating the two variables is 0.74.
Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal?
It is a weak positive correlation, and it is not likely causal.
It is a weak positive correlation, and it is likely causal.
It is a strong positive correlation,and it is not likely causal.
It is a strong positive correlation, and it is likely causal.
Answer: It is a strong positive correlation,and it is not likely causal.
Step-by-step explanation: Correlation Coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.with negative values depicting a negative relationship and positive values showing positive relationship. Value of 0 implies that, no relationship exists. The closer the correlation Coefficient value is to +1 or - 1, the greater the strength of the relationship between them. Also correlation does not mean causation. Hence, a correlation coefficient of 0.74 depicts a strong positive relationship. However it doesn't imply causation.
The given correlation is strong positive correlation,and it is not likely causal.
We have given that,
The correlation coefficient relating the two variables is 0.74.
What is the correlation coefficient?Correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.
The correlation coefficient value is used to determine the strength of linear relationship between two variables. The value ranges from - 1 to +1.
with negative values depicting a negative relationship and positive values showing positive relationship.
The value of 0 implies that, no relationship exists.
The closer the correlation coefficient value is to +1 or - 1, the greater the strength of the relationship between them.
Also correlation does not mean causation.
Hence, a correlation coefficient of 0.74 depicts a strong positive relationship.
However it doesn't imply causation.
We have the given correlation coefficient relating the two variables is 0.74 and it is near +1
Therefore,the given correlation is strong positive correlation,and it is not likely causal.
To learn more about the correlation coefficient visit:
https://brainly.com/question/4219149
This is GCF so ..
-3x^4+12x^3-21x^2
Answer:
The greatest common factor in that expression is 3x², giving you the expression:
3x²(-x² + 4x -7)
Step-by-step explanation:
All three terms are divisible by three:
3(-x⁴ + 4x³ - 7x²)
Each term is also divisible by x²:
3x²(-x² + 4x -7)
So the greatest common factor is 3x²
A baker buys a 5 lb bag of sugar. She uses 1 2/3 lb to make some muffins and 2 3/4 lb to make a cake. How much sugar does she have left?
do step by step
Answer:
7/12 lb of sugar.
Step-by-step explanation:
first we add 1 2/3 and 2 3/4, which will give you 4 5/12 then subtract 5 lb by 4 5/12 and your answer will be 7/12
Which of the following is NOT a proportion? *
3/9 = 12/36
5.2 / 4 = 3.9 / 3
8 / 16 = 16 / 24
12 / 2 = 7.2 / 1.2
Answer:
8/16=16/24
Step-by-step explanation:
The sum of three consecutive odd integers is 765. What are the three
integers?
Answer: 254, 255, 256
Step-by-step explanation:
Divide the total by 3 to get the integer in the middle. 255.
Subtract 1 to get the first integer, 254.
Add 255 + 1 to get the third integer, 256.
Write an equation that models the bee population (b), (w) weeks after it is first measured. You'll use the variable b for the bee population and the variable w for the weeks after it is first measured.
The required equation that models the bee population (b) is y = 2000x + 500
Equation of a line
The equation of a line in slope-intercept form is expressed as y = mx + b
where;
m is the slope of the line graphb is the y-interceptUsing the coordinate points on the graph (2, 2000) and (3, 4000)
Get the slope of the line
[tex]m=\frac{4000-2000}{3-2}\\m=\frac{2000}{1}\\m=2000[/tex]
Since one of the coordinate points lies on the y-axis at (0, 500), hence the y-intercept is 500.
The required equation that models the bee population (b) is y = 2000x + 500
Learn more on equation of a line here: https://brainly.com/question/13763238
Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the ground, 6 meters away from the launching point. If Madelyn and Eddie are 9 meters apart, how high up is Madelyn? If necessary, round to the nearest tenth.
Ill be marking brainliest
Answer:
8.9 meters
Step-by-step explanation:
this seems like a problem where you can use the pythagorean theorem:
you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg
a^2 + 6^2 = 9^2
a^2 + 36 = 81
a^2 = 45
a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters
write as single power of 7?
(7^2)^-2
Answer:
[tex]7^{-4}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](7^2)^{-2}[/tex]
= [tex]7^{2(-2))}[/tex]
= [tex]7^{-4}[/tex]
Select the correct statement about the function represented by the table.
Plz help!
Answer:
I believe that it is B
7. Alex makes $30,000 a year at his job
and gets $2,500 a year raise every year.
Sydney makes $40,000 a year and gets a
$2,000 raise every year. How many years
will it take for them to make the same
salary?
Answer:
It will take them 20 years to make the same salary
Step-by-step explanation:
Let us solve the question
Assume that they will have the same salary after x years
∵ Alex makes $30,000 a year at his job
∵ He gets a $2,500 a year raise every year
∵ He will work x years
→ That means his salary is the sum of a fixed amount and the raise times x
∴ His salary = 30000 + 2500(x) ⇒ (1)
∵ Sydney makes $40,000 a year
∵ He gets a $2,000 raise every year
∵ He will work x years
→ That means his salary is the sum of a fixed amount and the raise times x
∴ His salary = 40000 + 2000(x) ⇒ (2)
∵ They will make the same salary after x years
→ Equate (1) and (2)
∴ 30000 + 2500x = 40000 + 2000 x
→ Subtract 30000 from both sides
∴ 2500x = 2000x + 10000
→ Subtract 2000x from both sides
∴ 500x = 10000
→ Divide both sides by 500
∴ x = 20
∴ It will take them 20 years to make the same salary
Cornell is going to purchase a flat-screen TV for $367. The store charges 8% sales tax. What will the total price be for Cornell's purchase?
The answer options are in the photo.
(I accidentally clicked the A so that is why it’s like that)
Is it a 3 or 4 choice question?