Answer:
15 gallons
Step-by-step explanation:
Given that:
Pumping rate is modeled by the equation :
Q(t)=45-t gallons per minute ; where t is in minutes
Number of gallons in tank after 30 minutes ;
Q(t)=45-t
Q(30) = 45 - 30
Q(30) = 15
Hence, Number of gallons in tank after 30 minutes is 15 gallons
Rita sprinted 77 feet in 10 seconds. How many miles per hour is this?
Answer:
5.25 miles per hour
Answer:
5.25 mph
Step-by-step explanation:
Find the formula, in standard form y = ax2 + bx + c, for a quadratic that has roots at x = -2 and x = 7,
and has leading coefficient of 1.
y =
Answer:
[tex]y = x^2 - 5x - 14[/tex]
Step-by-step explanation:
Given
[tex]x = -2[/tex] and [tex]x = 7[/tex]
Required
Determine the quadratic equation with a leading coefficient of 1
First, we equate both expression to 0
[tex]x = -2[/tex] and [tex]x = 7[/tex] becomes
[tex]x + 2 = 0[/tex] and [tex]x - 7 = 0[/tex]
Multiply both expressions:
[tex](x + 2) * (x - 7) = 0 * 0[/tex]
[tex](x + 2) (x - 7) = 0 * 0[/tex]
Open Brackets
[tex]x^2 - 7x + 2x - 14 = 0[/tex]
[tex]x^2 - 5x - 14 = 0[/tex]
Hence, the quadratic equation is:
[tex]x^2 - 5x - 14 = 0[/tex]
or
[tex]y = x^2 - 5x - 14[/tex]
The formula, in standard form y = ax^2 + bx + c, for a quadratic that has roots at x = -2 and x = 7 is y = x² - 5x + 14
Given the standard form of quadratic equation expressed as [tex]ax^2 + bx+c =0[/tex]
If a quadratic that has roots at x = -2 and x = 7, then their factors will be x+ 2 and x - 7.
Taking the product of the factors will give:
f(x) = (x+2)(x-7)
f(x) = x² - 7x + 2x - 14
f(x) = x² - 5x + 14
Hence the formula, in standard form y = ax^2 + bx + c, for a quadratic that has roots at x = -2 and x = 7 is y = x² - 5x + 14
Learn more here: https://brainly.com/question/16821812
FOR 10 POINTS
Find the distance between A and B
Answer:
3cm i think
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of parallel sides.
A quadrilateral is a parallelogram _[blank]_.
Which answer correctly fills in the blank in the previous sentence?
A) because it has only four sides and two of them are parallel
B) if it has two pairs of parallel sides and is a polygon
C) if it has only two pairs of parallel sides
D) if and only if it has two pairs of parallel sides
Answer:
C
Step-by-step explanation:
The quadrilateral is a parallelogram if and only if it has two pairs of parallel sides option (D) is correct.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
It is given that:
A parallelogram is a quadrilateral with two pairs of parallel sides.
As we know,
The quadrilateral can be defined as the four-sided polygon in geometry having four edges and four corners.
The quadrilateral, has:
Two pairs of congruent sides.
It has one pair of opposite congruent angles.
The diagonals of a kite are perpendicular.
One diagonal is bisected.
The top and bottom angles are bisected but does not have congruent diagonals.
A quadrilateral is a parallelogram if and only if it has two pairs of parallel sides.
Thus, the quadrilateral is a parallelogram if and only if it has two pairs of parallel sides option (D) is correct.
Learn more about the parallelogram here:
brainly.com/question/1563728
#SPJ2
A baseball player successfully hits the ball 30% of the time. If he gets 450 chances to hit the ball in a season, what is the total number of times he will successfully hit the ball?
Answer:
135
Step-by-step explanation:
450 *.3
Which equation represents a line which is parallel to the line 3x +y = 1?
Answer:
An equation with a slope of -3
Step-by-step explanation:
Parallel lines have their slopes equal
This means the line you should pick should have a slope of -3
In this case;
3x + y = 1 ----write it in slope-intercept form as;
y = -3x + 1 ------m , slope = -3
The equation to pick should have a slope of -3
Solve the equation below.
f(x)=2-x
Answer:
Either 1 or 0
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
The graph of y=f(x) is shown below. Which point could be used to find f(-2)
Answer:
Point B
Step-by-step explanation:
In the graph of y = f(x),
For every x-value (input value), value of the function is the y-value (output value).
For the input value x = -2,
Output value of the function will be,
y = 2
f(-2) = 2
Therefore, point B will represent the input-output values of the function.
(a)
126 = 2 x 32 xk
Find the value of k.
Answer:
k=1.96875
Step-by-step explanation:
126=2x32xk
126=64xk
126/64=k
1.96875=k
A printer takes 2 and a half seconds to print a flyer.It took 75 secons to print a batch of flyers with out stopeding. How many flayers are in a batch
Answer:
30 flyers
Step-by-step explanation:
A printer prints:
1 flyer = 2 1/2 seconds = 2.5 seconds
1 batch of flyers = 75 seconds
The number of flyers in a batch is:
2.5 seconds = 1 flyer
75 seconds = x
Cross Multiply
2.5 × x = 75 × 1
x = 75/2.5
x = 30 flyers.
Therefore, the number of flyers in a batch is 30 flyers
What work am I supposed to do I have to do the work or I will get it wrong !
pls help me !!! asap
Answer:
Point Q
Step-by-step explanation:
Answer:
It’s point P
Step-by-step explanation:
The square root of 92 is in a point between the square root of 81 which is 9 and the square root of 100 which is 10 you it is best to estimate that the square root of 92 is aprox 9.6 which is point P
How much will a sub and a soda cost when you have a coupon for 30 cents off the total price? (Hint - Write 30 cents as a decimal.)
Answer:
0.3 cents
Step-by-step explanation:
move the decimal over two places
42 + (23+ ((-1)-(9+(-5))))
Help me how do u solve this?
Answer:
60
Step-by-step explanation:
Answer:
68? i might be wrong, I did it all in my head sooo sorry if it's wrong-
Need help!!! Plzzz Help mee
i need help with these
Answer:
7+4=11
Step-by-step explanation:
12/3 equalls 4 because the 12÷3=4.
Is 22 miles per hour a rate or a unit rate?
Answer: yes it is
Step-by-step explanation:
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. X=2y-7 and 4x+y=71
Answer:
(15, 11).
Step-by-step explanation:
Given the system of equation;
X=2y-7 ..... 1
4x+y=71 ....2
Substitute 1 into2;
4(2y-7) + y = 71
8y - 28 + y = 71
9y - 28 = 71
9y = 71 + 28
9y = 99
y = 11
Substitute y = 11 into 1;
x = 2y - 7
x = 2(11)-7
x = 22-7
x = 15
hence the solution to the equation is (15, 11).
(6d+5) – (2 – 3d) =
Answer:
9d + 7
Step-by-step explanation:
(6d + 5) - (2 - 3d)
= (6d - (-3 d))+ (5 - 2)
= (6d + 3d) + 3
= 9d + 3
what are the possible values of x in 2x^2-8=10
Answer:
3, -3
Step-by-step explanation:
hellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllpppppppppppppppppppppppppppppp
Answer:
f(x) = |x| + 8
Step-by-step explanation:
Gotta love that ixl right! hahaha #hateit4u
I had to use it in 8th grade, IT SUCKED!!!
A parabola with its vertex at (24,10) and its axis of symmetry parallel to the y-axis passes through point (4,290). Write an equation of the
parabola. Then find the value of y when x = 34.
Answer:
Not executable
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (24, 10) is :
f(x) = a(x - 24)² + 10
the parabola's axis of symmetry parallel to the y-axis and passing through point (4,290) means: h = 4
4 ≠ 24That means you write something wrong in your question.
Identify the function shown in this graph.
5
3
2
1
-544 -3 -2 -1
1
2
3
4 5
-2
-3
-5
A. y = -x-4
B. y = x - 4
c. y = x+ 4
O D. y = -x + 4
SUBMIT
What is the rectangular form of r=8sin(0)
Step-by-step explanation:
the regular form of r=8
Help ME plaese :D ::D TOOOOT TOOOT
Answer:
52
you have to find the area i hope i helped
pz answer me n-i-g-g-a
Answer:
There is no question can u edit
Step-by-step explanation:
Triangle GHJ with vertices G(-1, 3), H(4, -12), and J(3, -1) is dilated by a factor of 1/3 centered at the origin. What are the coordinates of G' after the dilation?
Answer:
The coordinates of Good after dilation will be (-1/3,1)
Step-by-step explanation:
Here, we want to get the coordinates of the point G after dilation
Mathematically, that would be having 1/3 multiply the coordinates of G
G’ = 1/3 (-1,3)
G’ = (-1/3 , 1)
find the value of "x" so that h(x)=-4x+3 has a value of 11
Answer:
x=-2
Step-by-step explanation:
11=-4x+3
8=-4x
8/-4=-4x/-4
-2=x
What is the quotient of the polynomial
85-68x
-------------
4x-5 ?
The question is in the image! Please help if u can its due really soon
Answer:
88°
Step-by-step explanation:
m∠AOB = m∠DOE = 88°