Answer:
k = 31/9 b = 12Step-by-step explanation:
k - 4 = 3
9
k/9 = 3(9) + 4
k = 31/9
----------------------------
8 + b = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
k = 31/9
b = 12
proofing my answer is correct
k - 4 = 3
9
k/9 = 3(9) + 4
k = 31/9
----------------------------
8 + b = -5
-4
8 + b = -5 (-4)
8 + b = 20
b = 20 - 8
b = 12
Find k when f(x) = 3x2 + kx – 1 and
f(1) = 9
Please help will give brainliest!!
Answer:
k = 7
Step-by-step explanation:
Because f(1)=9
=> f(1) = (3 x 1^2) + (k x 1) - 1 = 3 + k - 1 = 9
=> k = 7
Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
3. Create a Venn diagram or Table with numbers for:
A group of 80 students were asked if they were taking science or art.
10 were taking neither, 50 were taking science, 30 were taking art.
Answer:
10 students were taking science and art at the same time.
Step-by-step explanation:
Given that a group of 80 students were asked if they were taking science or art, of which 10 were taking neither, 50 were taking science, and 30 were taking art, to determine how many students take both science and art, the following calculation must be done:
80 - 10 = 70
50 - 30 - 70 = X
80 - 70 = X
10 = X
Therefore, 10 students were taking science and art at the same time.
what 10 plus 19 pul80 plu s 40
Answer:
149
Step-by-step explanation:
I hope this helps......m
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
To know more about Income.
https://brainly.com/question/30467914
#SPJ8
How do you solve this equation 4(x+3)= -8
Answer:
x= -5
Step-by-step explanation:
4(x + 3) = -8
4x + 12 = -8
4x = -20
x = -5
Please help it’s due today!!!!
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
Read more on isosceles triangle here: brainly.com/question/19238666
#SPJ1
You measure a foam roller in the shape of a cylinder. The foam roller has a diameter of 5.9375 inches and a height of 53.5 inches. About how many cubic inches of foam were used to make the roller?
Answer:
Volume V ≈ 1481.3269 cubic inches
Step-by-step explanation:
Volume V of a cylinder is given by the formula
V = πr²h where r = radius of the base of the cylinder and h the height
Here we are given the diameter, d = 5.9375 inches
Radius r = d/2 = 5.9375/2 = 2.96875 in
Height h = 53.5 in
V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches
Answer V ≈ 1481.3269 cubic inches
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
PLEASE HELP WILL MARK BRAINLIEST
Answer: \(\cos P=r/q\)
Step-by-step explanation:
Cosine is defined as adjacent/hypotenuse.
In relation to \(\angle P\), the adjacent side is \(r\) and the hypotenuse is \(q\).
So, \(\cos P=r/q\).
....................help
Answer:
A
Step-by-step explanation:
With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.
Which of the following is an extraneous solution of
√-3x-2=x+2
The option that is extraneous solution of
√-3x-2=x+2 is A. -6.
How to illustrate the information?From the information given, taking square both sides
-3x - 2 = (x + 3)²
On applying identity = a² + b² + 2ab
Then ,
-3x -2 = x² + 2² + 2 * 2 *x
-3x -2 = x² + 4 + 4x.
On adding both sides by 3x
-2 = x² + 4 + 4x + 3x
-2 = x² + 4 + 7x
On adding both sides by 2
0 = x² + 4 + 7x + 2
On switching sides
x² +7x + 6 = 0
On Factoring
x² +6x + x + 6 = 0
x ( x+ 6 ) +1 (x +6 ) = 0
On grouping
( x +1) ( x +6) = 0
x = -1, -6.
An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.
Learn more about extraneous solution on:
https://brainly.com/question/2959656
#SPJ1
Complete question
Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6
Can a triangle be formed with side lengths 3, 9, 17? Explain. No, because 3 + 9 < 17 Yes, because 3 + 9 > 17 No, because 17 − 3 < 9 Yes, because 17 − 9 < 3
A triangle cannot be formed with side lengths 3, 9, 17 because A. No, because 3 + 9 < 17
How to illustrate the triangle?In geometry, a triangle is a polygon with three sides, three edges, and three vertices. The main characteristic of a triangle is that the sum of its internal angles is 180 degrees.
This is referred to as the triangle's angle sum property. It should be noted that any two sides of a triangle must have a sum of lengths greater than the third side.
In this instance, the result of multiplying 3 by 9 equals 12, which is less than 17. Therefore, choice A is the right one.
Learn more about triangles on:
https://brainly.com/question/17335144
#SPJ1
Aisha had 2 gallons of paint. She used 4 /5 of the first gallon and 1/4 of the second gallon.
How many gallons were left over?
A: 15 gallon
B: 34 gallon
C: 1920 gallon
D: 1120 gallons
Answer:
19/20
Step-by-step explanation:
you spelled them wrong A is 1/5 B is 3/4 C is 19/20 D is 11/20 but C is the right answer
The leftover gallon of paint she has now is C: 19/20 gallon
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Aisha had 2 gallons of paint.
She used 4 /5 of the first gallon and 1/4 of the second gallon.
∴ The amount of leftover paint is 2 - (4/5 + 1/4).
= 2 - (16 + 5)/20.
= 2 - 21/20.
= (40 - 21)/20.
= 19/20.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
A manufacturing manager reports to the CEO that 5% of products that come off the assembly line are defective. A study is performed to investigate this claim. In a random sample of 250 products that come off the assembly line, 14 are found to be defective. The CEO wants to know if the data provide convincing evidence that the true proportion of defective products differs from 0.05. Are the conditions for inference met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the Large Counts Condition is not met.
No, the randomness condition is not met.
Answer:Yes, the conditions for inference are met
Step-by-step explanation:
I took the test edge 2020
Answer:Yes, the conditions for inference are met.
Step-by-step explanation:
Sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60:36 by one-sixth. Is Sophia correct?
Answer:
Sophia is not correct
Step-by-step explanation:
The given situation represent the problem of a ratio and it is predicted to do the simplify the ratio by determining the smallest possible values
Here it can be presented 60:36 as a fraction i.e. \(\frac{60}{36}\)
Now the fraction should be fall by dividing both the numerator and denominator by a common factor i.e. 6
Now after dividing it, the fraction would be \(\frac{10}{6}\)
Now it can be further reduced by a common factor i.e. 2
So now the fraction is \(\frac{5}{2}\)
Thus, the ratio is 5:2
Hence, she is not correct
Answer all three you get 100 points plus Brain-List
1. A 21,000-gallon swimming pool contains 9000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1500 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
2. Sherry needs to sell T-shirts as a fundraiser for a charity. She starts with 40 T-shirts and begins selling at a constant rate of 5 T-shirts each day.
Use the Segment tool to plot a graph representing the number of T-shirts Sherry has left to sell from the time she begins selling until the T-shirts are gone.
3. For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds.
Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand.
Answer:
Can u put a picture of the thing
Step-by-step explanation
Is (4,9) a solution to the equation 3(x+2) = y ?
Answer:
No
Step-by-step explanation:
3(x+2) = y
3(4+2) = 9
3(6) = 9
18 does NOT equal 9
A firm has ordered a batch of identical electronic device from 4 different suppliers with the following distribution: 30% supplier 1, 20% supplier 2, 35% supplier 3, and 15% supplier 4. The historical data shows that 8% of supplier 1 items, 6% of supplier 2 items, 4% of supplier 3 items, and 10% of supplier 4 items are defective. 1- What is the probability that a randomly selected device is coming from supplier 3 and is defective? 2- If an item is selected randomly from the batch, what is the probability that the selected item is defective? 3- If an item is selected at random and it is defective, what is the probability that it is coming from supplier 3?
P(From supplier 3 or supplier 2) = 0.35 + 0.2 = 0.55, P(Supplier 3 and defective) = 0.014, P(Defective) = 0.065, and P(From supplier 3 | defective): = 0.014/0.065 = 0.2154.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
From the given information we have:
Supplier 1
8% of 0.3 = 0.024
0.3 – 0.024 = 0.276
0.3
Supplier 2
6% of 0.2 = 0.012
0.2 – 0.012 = 0.188
0.2
Supplier 3
4% of 0.35 = 0.014
0.35 – 0.014 = 0.336
0.35
Supplier 4
10% of 0.15 = 0.015
0.15 – 0.015 = 0.135
0.15
(1) P(From supplier 3 or supplier 2) = 0.35 + 0.2 = 0.55
(2) P(Supplier 3 and defective) = 0.014
(3) P(Defective) = 0.065
(d) P(From supplier 3 | defective):
= 0.014/0.065 = 0.2154
Hence, P(From supplier 3 or supplier 2) = 0.35 + 0.2 = 0.55, P(Supplier 3 and defective) = 0.014, P(Defective) = 0.065, and P(From supplier 3 | defective): = 0.014/0.065 = 0.2154.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
Derivative Function.. Could you solve this, please?
Hello, please consider the following.
f is differentiable so g is differentiable and we we can compute the derivative of g.
\(\text{derivative of } u^2\text{ is } 2uu'\\\\\text{derivative of } f(f(x^3)+x)\text{ is } (3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{So, }\\\\g'(x)=2f(f(x^3)+x)(3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{ We replace x par 1}\\\\g'(1)=2f(f(1)+1)(3f'(1)+1)f'(f(1)+1)\\\\g'(1)=2f(2)(3f'(1)+1)f'(2)\\\\\text{ We can put f'(2) in one part of the equation}\\\\f'(2)=\dfrac{2f(2)(3f'(1)+1)}{g'(1)}=\dfrac{2*5*(3*(-3)+1)}{2}\\\\=5*(-9+1)\\\\=5*(-8)\\\\=\boxed{-40}\)
Thank you.
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.
Answer:
you can eat candy for 25 days
Step-by-step explanation:
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
For more such questions on carbohydrate, click on:
https://brainly.com/question/29917711
#SPJ8
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
Read more on perimeter of a shape;
https://brainly.com/question/303508
#SPJ1
I need help solving this
1. The value of 312.6525° in 39°39'9" degrees-minutes-seconds is
2. The value
114°9'56" to degree 114.1656°
How do we convert degrees to degrees-minutes-seconds ?Degree is a unit of measurement for angles. and we can convert degrees to minutes and seconds
1° = 60'
1' = 60''
Therefore
1° = 3600"
1. Converting 312.6525° to degrees-minutes-seconds
= 312°
0.6525° = 0.6525 × 60 = 39.15'
0.15' = 0.15 × 60 = 9''
Therefore ;
312.6525° = 39°39'9"
2. converting
114°9'56" to degree
= 114° + (9/60)°+ 56/3600
= 114 + 0.15 + 0.0156
= 114.1656°
learn more about degrees-minutes-seconds from
https://brainly.com/question/32718824
#SPJ1
Carla loves her coffee...she visits the Kind Bean every weekday morning and
about three days per week she stops in for an afternoon pick-me-up. With
tax and tip, she usually spends about $5 per visit. Brianna figures this is just
a little indulgence. Is she right?
Find out how much she spends per year on coffee.
Answer:
$2080
Step-by-step explanation:
You want to know the annual cost of coffee purchased 5 mornings and 3 afternoons per week when each purchase amounts to $5.
Weekly costFive morning visits and three afternoon visits to the coffee shop will be a total of 8 visits per week. At $5 each, the cost per week is ...
8 × $5 = $40
Annual costThe cost for a year will be the cost for 52 weeks:
52 × $40 = $2080
Carla spends $2080 per year on coffee.
Whether this is a "little indulgence" or not will depend on Carla's budget.
36x + 12y = -12
-9x – 3y = 3
solve this by elimination
Answer:
all real numbers
Step-by-step explanation:
when you multiply the bottom equation by 4, you can see the equations cancel out
Mrs. lopez left for work at 6:35am. she arrived at work 40 minutes later. what time did she arrive at work?
Answer:
the answer will be 7:15 AM.
hope this helps!
Answer: She arrived at 7:15 am.
Step-by-step explanation:
please help me please help me
Answer:
9999*999
Step-by-step explanation:
it 6 in the morning
Slope = -3; y-intercept = 2
Slope = -1; y intercept = 8
Slope = 1/4; y-intercept= 0
Slope= -5/2; y-intercept=-3
Please give me the equations for these problems
Answer:
Given Below
Step-by-step explanation:
using the formula :
y = mx + c ....where m is the slope and c is the y intercept
(a) if Slope = -3; y-intercept = 2
y = -3x + 2
(b) if Slope = -1; y intercept = 8
y = -1x + 8
y = -x + 8
(c) if Slope = 1/4; y-intercept= 0
y = x/4 + 0
y = x/4
4y = x
(d) if Slope= -5/2; y-intercept= -3
y = -5x/2 - 3
y = (-5x - 6 )/3
2y = -5x - 6
\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)
Let's solve ~
The equation of line in slope - intercept form is :
\(\qquad \sf \dashrightarrow \: y = mx + c\)
where,
m is slopec is y - interceptNow, use these values in the equation to find their respective equations ~
Question 1Slope = -3 and y-intercept = 2
\(\qquad \sf \dashrightarrow \: y = - 3x + 2\)
Question 2Slope = -1 and y intercept = 8
\(\qquad \sf \dashrightarrow \: y = - x +8 \)
Question 3Slope = 1/4 and y-intercept = 0
\(\qquad \sf \dashrightarrow \: y = \dfrac{x}{4} \)
Question 4Slope= -5/2 and y-intercept = -3
\(\qquad \sf \dashrightarrow \: y = - \dfrac{ 5}{2} x - 3\)
I am a two digit number less than 50. If you put me in groups of 5, then there are 2 left over. The
sum of my digits is 9. Who am I?
Answer:
27
Step-by-step explanation:
25 ÷ 5 is equal to 5and 2 are left over
Therefore your answer is 27