z varies jointly with x and y. when x=2 and y=3, z=60. what is the value of z when x=4 and y=9?
A. 360
B. 60
C. 90
D. 40,
The histogram shows the number of hours volunteers worked one week.
What percent of the volunteers worked 8 to 11 hours or 16 to 19 hours?
Enter your answer in the box.
%
Answer: 45%
Step-by-step explanation:
From the given histogram, The number of volunteers worked 8 to 11 hours = 5
The number of volunteers worked 16 to 19 hours = 4
The number of volunteers worked 8 to 11 hours or 16 to 19 hours =5+4=9
Total number of volunteers = 4+2+5+4+4+1=20
The percent of volunteers worked 8 to 11 hours or 16 to 19 hours is given by :-
[tex]\frac{9}{20}\times100=45\%[/tex]
Hence, the percent of the volunteers worked 8 to 11 hours or 16 to 19 hours =45%
True or False. (0,0) is a solution to problem #1. This means that (0,0) is in the solution region.
Question 2(Multiple Choice Worth 2 points)
(10.06 MC)
Compare the functions shown below:
f(x) = 4 sin (2x − π) − 1
g(x)
x y
−1 6
0 1
1 −2
2 −3
3 −2
4 1
5 6
h(x) = (x − 2)2 + 4
Which function has the smallest minimum y-value?
f(x)
g(x)
h(x)
Both f(x) and g(x) have the same minimum y-value.
Answer:
1. f(x)=4 sin (2 x-π)-1
=4 sin [-(π-2 x)] -1
= -4 sin 2 x -1
-1 ≤ sin 2 x ≤1
f(x) is minimum, when, sin 2 x=1
= -4 × 1 -1
= -5→Minimum value of f(x).
2. Minimum y value of g(x) by looking at the table is ,
g(x)=-3→Minimum
3. h(x)=(x-2)²+4
As, (x-2)², will yield always a positive value.
So, minimum of h(x), will be at , x=2
h(2)=(2-2)²+4=4→Minimum
Among the three function given, f(x) has minimum y -value,equal to -5.
Option A: f(x)
A plane begins to descend from a height of 202 meters. The plane decreases in altitude at an average rate of 1.8 meters per second. Which function can be used to find the altitude of the plane in meters x seconds since it started. Show work please!
Multiple choice :
F. t(x) = 202- 1.8x
G. t(x) -1.8 (x + 202)
H. t(x) = 202 + 1.8x
I. t(x) = 1.8 ( x + 202)u
The table shows the height of an object, h(t), in meters after t seconds. Use your calculator to find the quadratic function. Find the approximate time, to the nearest hundredth of a second, after which the object will reach its maximum height.
Given f(x)=x2+14x+40 .
Enter the quadratic function in vertex form in the box.
f(x)=
Answer: f(x) = (x+7)^2 -9
Step-by-step explanation:
I know that this is late but hopefully it will help someone else.
quick computing company produces calculators they have found that the cost c(x),of making calculators is a quadratic function in terms of x the company also discovers that it costs $45 to produce 2 calculators, $143 to produce 4 calculators, and 869 to produce 10 calculators FIND THE TOTAL COST OF PRODUCING 1 CALCULATOR
Answer:
$23
Step-by-step explanation:
We will use a quadratic regression to solve this.
Using a graphing calculator, put the number of calculators into the first list (x) and the cost to produce into the second list (y).
Next we run the quadratic (x^2) regression. Doing this gives us an equation in the form
y = ax²+bx+c. The values we are given for a, b and c are
a = 8.9999999999; b = -4.999999999999; c = 18.999999999
These can be rounded to a = 9, b = -5 and c = 19. This gives us the equation
y = 9x²-5x+19
Substituting 1 in place of x, we have
y = 9(1²)-5(1)+19 = 9(1)-5+19 = 9-5+19 = 4+19 = 23
Bailey writes 5 + 8 on the left-hand side of a paper and then writes 4 + 9 to the right of it. Which symbol should Bailey write between the two sets of numbers to show they have the same sum
a. +
b. –
c. ≠
d. =
Kana earns a $25,000 salary in the first year of her career. Each year, she gets a 4% raise. How much does Kana earn in the first 10 year of her career? (Round the final answer to the nearest dollar)
Someone help with math?
Polynomials are closed under the operation of subtraction.
Which statement best explains the meaning of closure of polynomials under the operation of subtraction?
A. When any two polynomials are subtracted, the coefficients of like terms are always subtracted.
B. When any two polynomials are subtracted, the result is always a polynomial with negative coefficients.
C. When any two polynomials are subtracted, the result is always a polynomial.
D. When any two polynomials are subtracted, the result is always a monomial or a binomial.
A polynomial is an expression consisting of variables and coefficients, that involves the operations of addition, subtraction, multiplication .
polynomials are closed under the operations of addition, subtraction, and multiplication.
Polynomials will be closed under an operation if the operation produces another polynomial.
The statement that best explains the meaning of closure of polynomials under the operation of subtraction is
option C. When any two polynomials are subtracted, the result is always a polynomial.
15p for an answer please
Determine if x + 3 is a factor of -3x^3+6x^2+6x+9, and how do you know?
The diagram shows a line with intercepts 3 and 9 and one of many rectangles which can be inscribed under this line and within the first quadrant.
a. Write an equation for the line.
b. Determine if the rectangle can have x = 4 and y = 2 as its dimensions.
c. Find x and y if the rectangle is a square.
d. Write an expression for A, the area of the rectangle, using x as the only variable.
e. Find x if the area of the rectangle is 6.
f. Which x gives the rectangle its largest area?
Each chef at "sushi emperor" prepares 151515 regular rolls and 202020 vegetarian rolls daily. on tuesday, each customer ate 222 regular rolls and 333 vegetarian rolls. by the end of the day, 444 regular rolls and 111 vegetarian roll remained uneaten. how many chefs and how many customers were in "sushi emperor" on tuesday?
Answer:
There were 2 chefs and 13 customers.
Step-by-step explanation:
The angle of depression from D to F measures 10°. If DE = 300 m, find DF. Round your answer to the nearest tenth.
304.6 m
1,910.2 m
1,727.6 m
1,701.4 m
Answer:
Option C) 1727.6 m
Step-by-step explanation:
Given that the angle of depression from D to F measures 10°.
Also given that DE =300 m.
Since 10 is angle of depression, we can visualize a right triangle with hypotenuse DF=300 m and EF, DE two legs.
In the right triangle DEF, the angle opposite 10 is the side DE[tex]\frac{DF}{DE} =\frac{hypotenuse}{opposite side}= cosec 10\\\\DF =300 cosec 10 = 1727.6 m[/tex]
by Using trignometric ratios
3x - 5y = 17 y = -7 Solve by substitution.
How many 12 inch sections can you get out of 9 foot calculator?
Twice the sum of two consecutive integers equals 42
Find the length of the hypotenuse of a right triangle with legs of lengths 9 and 12 If necessary round your answer to two decimal places
A rectangular box contains 336 cubic inches. If it is 12 inches long and 7 inches wide, how deep is it?
A spinner with
9
equally sized slices is shown below. The dial is spun and stops on a slice at random. What are the odds in favor of landing on a white slice?
note their are 7 white and 2 black
Please help !!! Need fast
Dan measures an object to the nearest fourth inch. He records the length as 4 1/4 inches. Geri measures the same object the nearest half inch. Could Dan and Geri get the same measurement? Explain.
If someone can answer this, you are BEYOND SMARTT!!! But tell me how to do it too!!!!
Elliot and Katy both bought the same lunchbox for $6. Elliot lives in Oklahoma and pays 4.5% in sales tax, while Katy lives in South Carolina and pays 6% in sales tax. How much more did Katy pay in sales tax than Elliot? A.$0.09 B.$0.27 C.$0.63 D.$0.36
This is when one word has more than one definition and its 15 letters
How do I solve this?
The relationship between the monthly fee that the cable company charges for internet service and the fee for downloading over 32KB of information is modeled by the linear function f (x) = 1.25x + 45, where x is the number of KB over 32. If the total bill for a month is $170, how many KB was in excess of 32 KB that month?