Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
A pipe is leaking in the school bathroom . it leaked 3 gallons of water in 6 hours.
Find the constant of proportionality
Answer:
0.5 gallons per hour
Step-by-step explanation:
3. Given the equation determine:
f(x)= x² - 4
f(-3)
Answer:5
Step-by-step explanation: F(-3)=(-3)^2 -4
(-3)^2=9
F(-3)=9-4
F(-3)=5
Answer:
5
Step-by-step explanation:
Esther had five times as many cards as Richard. Esther gave 1/4 of her cards to Richard. Then, Richard gave 1/6 of his cards to Esther in return. In the end, Esther had 90 more than Richard. How many cards did Esther have at first?
Answer:
Esther has 200, Richard has 40
Esther gives Richard 50 cards. Now they have
Esther: 150, Richard: 90
Richard gives Esther 15, so they now have
Esther: 165, Richard 75
Step-by-step explanation:
Answer:
Esther had 200 cards at first
Step-by-step explanation:
Variables:
Esther: 5r
Richard: r
Equalities:
e = 5r
e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90
Solve:
Replace e with 5r and solve for r:
e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90
5r - 5r/4 + 1/6 (r + 5r/4) = 5/6 (r + 5r/4) + 90
5r - 5r/4 + 1/6 (2.25r) = 5/6 (2.25r) + 90
5r - 1.25r + 0.375r = 1.875r + 90
5r - 1.25r + 0.375r - 1.875r = 90
2.25r = 90
r = 40
Esther: 5r = 5(40) = 200
Richard: r = 40
Need help asap in a hurry, please. Doing a budget The gross income is $54,000.
Can anybody help meeeeeeeeeeee
Answer:
yeah I Wii help you to your problem
Answer:
ok ques
Step-by-step explanation:
Write the linear equation in slope-intercept form, 5x − 2y = 10
Answer:
y=5x-2
Step-by-step explanation:
Question 4
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.
Answer:
$288
Step-by-step explanation:
12% monthly
144% yearly.
100*1.44*2 = all
all = 288
Hope this helps plz hit the crown :D
1. A certain manufacturing process to build phone batteries results in the production of defective batteries at a rate of 5% (0.05). Suppose that 10 batteries are produced. a. Find the expected number of defective batteries. b. Find the variance and standard deviation in the number of defective batteries. c. Find the probability that at least 1 battery is defective.
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
Solve for n in the following equation. A=P(1+n) show all work
Answer:
n = A/P - 1
Step-by-step explanation:
1st step: subtract P from each side to get A/P = 1+n
2nd step: subtract 1 from each side to get the answer above
Tina's plans to make wooden fences To put heard to triangle art pieces In
How much wood would she need for triangle DFG
Answer:
54 feet.
Step-by-step explanation:
Consider AB and DF. FD is 3 times the size of AB
So if AC = 7 then DG = 3* 7 = 21
The total Perimeter = 15 + 18 + 21 = 54 feet
Answer:
well if the triangle are both equal comparisons just ones a different size then the unknown hunches of the bigger side would probably be 21 so if u add the 15 + 18 + 21 = 54 I think sorry if I'm wrong tho
HELP ME FIND THE Y-INTERCEPT
Answer:
0
Step-by-step explanation:
Please help ASAP!!!!
Answer:
See attached pdf for answer
Step-by-step explanation:
Half a bottle of lemonade is shared between 3 friends . What fraction will each child get ?
Answer:
1/3
Step-by-step explanation:
i hope this helped !!!!!!!!!
1/6 fraction of bottle of lemonade will each friend gets.
What is Fraction?A fraction represents a part of a whole.
Given,
Half a bottle of lemonade is shared between 3 friends .
Half means 1/2.
One divided by two is half.
This half is shared between three friends.
So we need to divide half by three of friends.
1/2/(3/1)
When a fraction is divided by another fraction, the denominator is multiplied as reciprocal to numerator.
1/2×1/3
1/6
Hence, 1/6 fraction of bottle of lemonade will each friend gets.
To learn more on Fractions click:
https://brainly.com/question/10354322
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Evaluate the expression 2l + 2w for l = 5.7 and w = 6.2.
Answer:
so 5.7 square root is 2.45 so minus that by 2K and you get 3.4
Step-by-step explanation:
An infeasible problem is one for which ________________________ Group of answer choices the objective is maximized or minimized by more than one combination of decision variables. there is no solution that simultaneously satisfies all the constraints. the Allowable Increase or Allowable Decrease values for changing cells are zero. there is exactly one solution that will results in the maximum or minimum objective.
Answer:
there is no solution that simultaneously satisfies all the constraints.
Step-by-step explanation:
An infeasible problem is one for which there is no solution that simultaneously satisfies all the constraints.
In linear programming, when a linear problem or program has no solution that simultaneously satisfies all the constraints i.e no feasible solution can be generated or gotten, then, the problem is said to be an infeasible problem. This ultimately implies that, an infeasible problem is one that does not have an optimal solution for all of its constraints (linear and non-linear constraints).
For example, when the demand requirement in a manufacturing plant or industry is much greater than its available capacity this will result into an infeasible problem. Also, when various functional managers in different departments in an organization have varying degree of requirements because there won't be an optimal solution.
The governor of state A earns $48,980 more than the governor of state B. If the total of their salaries is $289,660, find the salaries of each
Answer:
Governor of State B: $120,340; Governor of State A: $169,320
Step-by-step explanation:
For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.
Governor B salary + Governor A salary = $48980
x+x+48980=289660
2x+48980=289660
2x=240680
x=120340
120340+48980=169320
Multiply both sides by what?
-6y( )=3( )
Answer:
By -2 (two) I believe, but plz correct me if I’m wrong!
Step-by-step explanation:
Please help and explain how you got the answer. Im giving out brainliest. || Q3
Answer:6:8
Step-by-step explanation:
Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
Answer:
75.23=10.27x
Step-by-step explanation:
Around 7 months
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
P(-11 , 14)
Step-by-step explanation:
Explanation:-
Given points A(-6, 9), B(2, 1); Ratio 5 : 3
The Point P divides the directed line segment from A to B in the given ratio Externally
5 : 3
A( -6,9) B(2,1)
we will use formula
= [tex](\frac{5(1)-3(9) }{5-3} ,\frac{5(2) -3(-6)}{5-3})[/tex]
= [tex](\frac{5-27}{2} , \frac{10+18}{2} ) = (-11 , 14)[/tex]
The point P( -11 ,14) divides the directed line segment from A to B in the given ratio Externally
Find the slope of the line represented by the table
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.
Answer:
210 cm²
Step-by-step explanation:
The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.
Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles
✔️Area of the 2 trapezoid bases:
Area = 2(½(a + b)×h)
Where,
a = 7 cm
b = 11 cm
h = 3 cm
Plug in the values
Area = 2(½(7 + 11)×3)
= (18 × 3)
Area of the 2 trapezoid bases = 54 cm²
✔️Area of Rectangle 1:
Length = 6 cm
Width = 3 cm
Area = 6 × 3 = 18 cm²
✔️Area of Rectangle 2:
Length = 7 cm
Width = 6 cm
Area = 7 × 6 = 42 cm²
✔️Area of Rectangle 3:
Length = 6 cm
Width = 5 cm
Area = 6 × 5 = 30 cm²
✔️Area of Rectangle 4:
Length = 11 cm
Width = 6 cm
Area = 11 × 6 = 66 cm²
✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²
In the parallelogram below,
z = [ ? ]°
what does hypothesis mean?
Answer:
a guess or prediction on how an experiment is going to turn out.
Step-by-step explanation:
Scientists use it a lot
Answer:
Hypothesis means a reasonable guess in science.
Step-by-step explanation:
Scientists first make a hypothesis in order to predict the solution to their experiment. And when they're hypothesis is wrong, they make another hypothesis. So basically, a hypothesis is a "reasonable guess"
Hope this answers your question!
Suppose that the odds against a particular team winning the Super Bowl are 11 to 1. What is the probability of that team not winning the Super Bowl?
A) 10/11
B) 11/12
C) 1/11
D) 1/12
Answer:
A) 10/11
Step-by-step explanation:
Because the odds of the team winning are 1/11, the odds of not winning have to be 10/11 in order for it to add to 11/11.
What is the product of 10 and 3/4
what number represents 125.638 rounded to the nearest hundreth
Answer:
The answer is [tex]125.64[/tex]
Step-by-step explanation:
hope this helps :)
what is -5 - 1/2 equal?
Answer:-5.5
Step-by-step explanation:1/2 is basically .50 so -5 - .50 gives you -5.5
Answer:
-5.5
Step-by-step explanation:
When you do -5 - 1/2, you get -5.5!
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $14 per linear foot to install and the farmer is not willing to spend more than $7000, find the dimensions for the plot that would enclose the most area. (Enter the dimensions as a comma separated list.)
Answer:
Width = 166.7 ft
Length = 250 ft.
Step-by-step explanation:
From the diagram at the ATTACHMENT
Let us denote the the length of the rectangular area as "x" and
the width of the rectangular area as "y"
Since, cost of the fence on the western side is shared with a neighbor, we can say it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.
From the question, we know that the cost is not to exceed $7000, therefore we can expressed it as
7y + 14x + 14y = 7000
14x + 21y = 7000
Divide through by 14, we have
(x + 1.5) = 500 ------------- eqn (*)
But the area of the fenced
= A = (x×y) -------------- eqn (**)
Substitute (*) into (**) we have
A = (500 - 1.5y)*y
= 500y - 1.5y²
In other to maximize the Area, we can find the differential of A
A'(y) = 500 - 3y
At A'(y) = 0.
500-3y= 0
3y=500
y= 166.67 ft
From eqn(*)
(x+ 1.5) = 500
x = 500 - 1.5y
500-1.5(166.67)
= 250ft
Therefore, the dimensions for the plot that would enclose the most area are
Width of 166.67 ft and Length = 250 ft.
Help thank you to who ever does I will mark brainliest.
Answer:
V = 200.96 units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 4 and the height is 12
V = 1/3 ( 3.14 ) ( 4)^2 * 12
V = 200.96 units ^3
ANSWER: 200.96 units