Answer:
3.49 ft
Step-by-step explanation:
y = 0.125x
y = –16x^2 + 56x
Set the equations equal since the height of the hill
and the height of the ball must be the same
–16x^2 + 56x = 0.125x
Subtract 0.125x from both sides
–16x^2 + 55.875x = 0
Factor out x
x(–16x + 55.875) = 0
From the zero product rule
x = 0
and
–16x + 55.875 = 0
–16x = –55.875
Divide both sides by –16
x = 3.4921875
Diiference in height
3.4921875 - 0 = 3.4921875
3.49 ft
How much flour and vanilla would you need for 5 batches of cookies
Answer: 25 cups of flour & 10 teaspoons of vanilla
Step-by-step explanation: A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.
5 x 5 is 25 cups of flour
2 x 5 is 10 teaspoons of vanilla
number of heads: 0,1,2,3 Frequency: 16,38,34,12 Find the median
Answer:
the median of 0 1 2 3 16 38 34 12 is 9.5
Identify which graph below contains the coordinate points (–3, 4),(–2, 0), and (0, –8). Select all that apply.
Answer:
A, C, D
Step-by-step explanation:
All of the plot curves contain (0, -8) and (-2, 0)
B doe NOT contain (-3, 4), though the plot lines seem kind of fuzzy and other curves may miss, but not by much.
Answer:
Graph A , B, and D
Step by-step explanation:
All the points are one these three graphs.
I need some help please?!?
Answer:
A
Step-by-step explanation:
x = √a/√b
x² = √a²/√b²
x² = a/b
Answer:
Hi there
it should be A.
good
Giving brainliest!
Starting at sea level, a submarine descended at a constant rate to a depth of −3/4 mile relative to sea level in 5/8 minutes.
The submarine continues to descend at the same rate. What is the submarine's depth relative to sea level after the first minute?
Answer:
Step-by-step explanation:
Let r be the rate of descent in miles per minute
-3/4 miles / 5/8 minutes
-3/4 • 8/5 = -24 / 20 = -1.2 mi/min
so in one minute
-1.2 mi/min (1 min) = -1.2 miles
Please help. 7th grade homework. All of these has to be turned in by tomorrow morning.
1/4% of what is 7? what is the answer please
Answer:
7/4
Step-by-step explanation:
Answer:
1/4% of 1 3/4 = 7 or you could say 1/4% of 1.75 = 7
Justin has $500 in a savings account at the beginning of the summer. He wants to have at least $300 in the account by the end of the summer. Justin withdraws $20 each week for food, clothes, and movie tickets. How many weeks (w) can Justin withdraw money from his account?
Answer:
10 weeks
Step-by-step explanation:
1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)
3. Mr. Morris orders a bottle of lotion that contains (15)liters. He use 2/6 of a liter of
lotion a day. How many days can he use the bottle of lotion until it is empty?
Pls help and show me how to do it
Answer:
45
Step-by-step explanation:
If he uses 2/6 of a liter thats 3 days for 1 liter.
3 x 15 is 45. so 45 days
PLSSSS GUYS NOW FAST, This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Adrian pays his niece $30 to babysit for 5 hours.
Which expression models the change in the amount of Adrian's cash each hour that his niece babysits?
Multiple choice question.
A)
30−5
B)
–30·5
C)
−30÷5
D)
–5÷30
Part B
What was the change in Adrian's cash each hour?
Multiple choice question.
A)
–$150
B)
–$6
C)
–$3
D)
$25
Answer:
Part A would be C because divided 30 by 5 to get the unit rate.
Part B would be B
Answer:
C). −30÷5
B). –$6
Step-by-step explanation:
keenan has $3.15. at a cany store,sour fruit chews are $0.07 each. how many sour fruits chews could he buy?
Answer:
45
Step-by-step explanation:
divide 3.15 by 0.07 to get 45
Answer:45
Step-by-step explanation:
divide 3.15 by 0.07 answer 45
Find the equation of the line given the following
Answer:
1. y = -10x + 6
2. y = -x - 6
3. y = 13x + 110
4. y = -5x + 47
5. y = 7/4 x -7
Step-by-step explanation:
2. m = - 1 and Y-intercept: -20 - (- 1)(14) = -6
3. m = 13 and Y-intercept: -7 - (13)(- 9) = 110
4. (10,-3) and (7,12)
Slope = (12 - - 3)(7- 10) = 15/-3 = -5
y- intercept = 12 - (-5)(7) = 47
5. (4,0) and (0, -7)
Slope: (-7-0)/(0-4) = -7/-4 = 7/4
y-intercept: -7 - 7/4)(0) = -7
what is the sum of 6/12 and 1/2
Answer:
1
Step-by-step explanation:
Simplify 6/12 down to 1/2
1/2 + 1/2 = 1
Write an equation of the line that is parallel to the y-axis and passes through the point (−3,1). Then determine whether the slope of the line is positive, negative, zero, or undefined.
An equation is
.
Question 2
The slope is positive.
The slope is positive.
The slope is negative.
The slope is negative.
The slope is zero.
The slope is zero.
The slope is undefined.
Answer:
The slope is undefined
Step-by-step explanation:
A vertical line has points that have the same x-coordinate.
The equation is x = -3
The slope of a vertical line is undefined.
Answer:
The slope is undefined
The quadratic function f(x)=ax^2+4x+c has a maximum at the point (1, 9) . What are the values of a and c?
Answer: a = -2 and c = 7
Step-by-step explanation:
(this answer uses some basic calculus)
We know that [tex]f'(x) = 2ax + 4[/tex], and since [tex](1,9)[/tex] is a maximum of [tex]f[/tex], then [tex]f'(1) = 0[/tex]. That means [tex]2a + 4 = 0[/tex], so [tex]\boxed{a = -2}[/tex]. Then since [tex]f(1) = 9[/tex], we have [tex]-2(1)^2 + 4(1) + c = 9[/tex], so [tex]\boxed{c = 7}[/tex].
Answer:
a = -2
c = 7
Step-by-step explanation:
Given the quadratic function, f(x) = ax² + 4x + c, for which its vertex is the maximum point occurring at (1, 9), and b = 4.
Solve for the value of a:Since the x-coordinate of the vertex, x = 1, can be calculated using the formula, [tex]x = \frac{-b}{2a}[/tex]:
We can substitute the value of the x-coordinate and b = 4 into the formula, and solve for the value of a:
[tex]x = \frac{-b}{2a}[/tex]
[tex]1 = \frac{-4}{2a}[/tex]
Multiply both sides by 2a:
(2a) 1 = [tex]\frac{-4}{2a} (2a)[/tex]
2a = -4
Divide both sides by 2 to solve for a:
[tex]\frac{2a}{2} = \frac{-4}{2}[/tex]
a = -2
Therefore, the value of a = -2.
Solve for the value of c:Next, to solve for c, substitute the coordinate values of the vertex, (1, 9) into the given quadratic function:
f(x) = ax² + 4x + c
9 = -2(1)² + 4(1) + c
9 = -2 + 4 + c
9 = 2 + c
Subtract 2 from both sides to isolate c:
9 - 2 = 2 - 2 + c
7 = c
Double-check:In order to double-check the validity of our values for a and c, substitute a = -2, and c = 7 into the function, along with the coordinates of the vertex, (1, 9):
f(x) = -2x² + 4x + 7
9 = -2(1)² + 4(1) + 7
9 = -2 + 4 + 7
9 = 9 (True statement).
Therefore, the correct answers are: a = -2, and c = 7.
write the following numbers as the product of a natural number with a power of 10
a) 2450
b) 35000
c)4000400
d) 10101010
[tex]\\ \sf\longmapsto 2450=2\times 35\times 35\times 1^{10}[/tex]
#2
[tex]\\ \sf\longmapsto 35000=35\times 10(10)(10)\times 1^{10}[/tex]
#3
[tex]\\ \sf\longmapsto 4000400=2\times 2\times 1001\times 100\times 1^{10}[/tex]
#4
[tex]\\ \sf\longmapsto 10101010=1010101\times 10\times 1^{10}[/tex]
Step-by-step explanation:
The numbers are given in the form of N*10ⁿ, where N is a natural number
a) 2450 = 245*10 b) 35000 = 35*10³ c)4000400 = 40004*10² d) 10101010 = 1010101*10It is 30 miles into the town. Use the formula to work out how many km this is
Answer:
30*1.609=48.27
Hope This Helps!!!
Please please help !
Answer:
Unsure but it might be -8/3
Step-by-step explanation:
For any nonnegative real number a, (a)2 =
=
O A. a2
O B. va
Ос. а
O D. 1
SUBMIT
Answer:
C
Step-by-step explanation:
For example, if a is equal to 2.
[tex] \sqrt{2} {}^{2} = 2[/tex]
The answer is still the given number a.
The solution of the expression √a² is,
⇒ a
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ √a²
Where, 'a' is nonnegative real number.
Now, We can simplify as;
⇒ √a²
⇒ √ a × a
⇒ a
Thus, The solution of the expression √a² is,
⇒ a
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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What is the scale factor of the dilation?
Step-by-step explanation:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)
The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the _____.
Answer:
can you add a pic
Step-by-step explanation:
A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.
Answer:
Step-by-step explanation:
X = 1(1 - 0.02)ⁿ
X = 1(0.98)²⁰
X = 0.6676
67%
Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.
A decaying exponential function has the following format:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(t) is the initial value.r is the decay rate, as a decimal.In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:
[tex]A(t) = A(0)(1 - 0.02)^t[/tex]
[tex]A(t) = A(0)(0.98)^t[/tex]
The fraction after 20 years is A(20), hence:
[tex]A(20) = A(0)(0.98)^{20}[/tex]
[tex]A(20) = 0.6676[/tex]
66.76% of the current amount will be present in 20 years.
A similar problem is given at https://brainly.com/question/14773454
simplify 5 − 2(2.5 − 6.7)^2
Answer:
-30.28
Step-by-step explanation:
1. What is the x-intercept for the equation -2x+5y =-10?
Answer:
2x-5y=10 in slope intercept form is y=2/5x-2. The x intercept would be 5 and the y intercept would be -2. The slope is 2/5.
Step-by-step explanation:
Think about the axis for a moment. You have the y-axis and the x-axis. The y-axis crosses the x-axis at y=0. Consequently the graph must also cross the x-axis when its equation has its y-value set to 0.
Likewise the graph will cross the y-axis when x=0
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solving your question
To find the x-intercept set y=0 giving
[tex] - 2x + 5(0) = - 10 \\ - 2x = - 1 |?| [/tex]
Multiply both sides by ( -1) giving
[tex]2x = 10[/tex]
Divide both sides by 2 giving
[tex] \frac{2}{2} \times x = \frac{10}{2} \\ [/tex]
But [tex] \frac{2}{2} = 1 \: \\ [/tex] giving
[tex]x = \frac{10}{2} \\ [/tex]- BRAINLIEST answerer
In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
If the spectator has an angle of 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?
hole?
25.6°
39.4°
64.3°
65.0°
Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.
What is the law of sines?Suppose we have a triangle in which:
The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.The lenghts and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
Hence, in this problem, we have that:
[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]
[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]
[tex]x = \arcsin{0.6344}[/tex]
x = 39.4º.
Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:
A = 180 - (115 + 39.4) = 25.6º.
More can be learned about the law of sines at https://brainly.com/question/27174058
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Answer:
25.6
Step-by-step explanation:
I got it right
Mrs. Sparks is a 9th-grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores. PLZ HELP 100 POINTS
Answer:
ninth grade teacher is going skipping 30 to each class
Step-by-step explanation:
hi can you please answer this question 20 points if u do
Answer:
Step-by-step explanation
just multiply
like 1x2=2
so 60x2=120
2x5=10
120x5=600
and on and on
These points are linear.
Find the slope.
m = [?]
The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?
Can someone explain how to do this.
How do the slopes of A B ↔ and the parallel line through point C compare?
Answer:
The slopes of AB↔ and the parallel line through point C are equal.
Step-by-step explanation:
Edmentum
Answer:
The slopes of the parallel AB lines through point C are equal.
Step-by-step explanation: