Answer:
0.64 seconds.
Step-by-step explanation:
When it hits the ground h(t) = 0.
0 = -16t^2 + 4t + 4
-4(4t^2 - t -1) = 0
t = [-(-1) +/- sqrt (1 - 4*4*-1)] / 8)
t = 0.64, -0.39
answer is 0.64 seconds.
it will take the baseball 0.64 seconds to hit the ground.
The equation representing the height is:
h = -16t² + 4t + 4
When the baseball hits the ground, the height will be 0. That is,h =0
Substitute h =0 into the equation above
0 = -16t² + 4t + 4
Rearrange the given equation to be:
16t² - 4t - 4 = 0
Solving the quadratic equation above:
t = -0.39 and 0.64
Since time cannot be negative, it will take the baseball 0.64 seconds to hit the ground.
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2 = 6m what does m equal?
Answer:
m = 1/3
Step-by-step explanation:
When you multiply by a fraction it's actually dividing.
:)
The variable m equals 1/3 for the equation 2 = 6m obtained by dividing both sides by 6.
The given equation is 2=6m.
m is the variable in the equation.
To determine the value of m in the equation 2 = 6m, we need to isolate the variable m.
Divide both sides of the equation by 6:
2/6 = (6m)/6
1/3 = m
Therefore, m equals 1/3.
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Which ordered pair could be removed so that the set of
ordered pairs is a function?
(4, -2)
(-3,2)
(3, 4)
(1,1)
The answer is (-3,2) because when it’s present in the graph the graph would not pass the vertical line test.
Another way to think about it is that -3 (input) has more than one output.
Answer:
The answer is (-3, 2)
Step-by-step explanation:
Let's define the two sets
A = {4, -3, 3, 1} and B = {-2, 2, 4, 1 -3}, so that the set of ordered pairs is a function , we should have that to every element from the first set (in this case A) corresponds (or is associate to) an element (and only one element) from the second set (in this case B). But we have that the element -3 in the set A (the domain) is related to the elements 2 and -3 which belong to the set B (the codomain), this in not allowed by the definition of function. So in order to the set of ordered pairs is a function we should remove the pair (-3, 2).
7. Two angles are vertical in relation. One angle is 2y and the other angle is y +130. Find each
angle measure. Is your answer reasonable? Explain how you know.
TV BOF
To solve for the vertical angles, we set up the equation 2y = y + 130. Solving for y gives us 130, and substituting back, we get each angle measures 260 degrees, which is reasonable since vertical angles are equal.
Explanation:Two angles are vertical angles, which means they are opposite each other when two lines intersect and they are equal in measure. The problem states that one angle is 2y and the other is y + 130. Since vertical angles are equal, we can set up the equation 2y = y + 130.
Now, we solve for y:
To check if the answer is reasonable, we can note that vertical angles must be equal, and both our calculated angles are 260 degrees, confirming they are equal and thus reasonable.
which equation includes the minimum or maximum of f as a number that appears in the equation?
Answer:
Option A
Step-by-step explanation:
The parent function [tex]y=x^2[/tex] has a minimum [tex](0,0)[/tex].
If we map [tex]x\mapsto x-1[/tex] we get [tex]y=(x-1)^2[/tex]. This is a horizontally translated copy of the parent function, so the minimum is still 0.
Then if we map [tex]f(x)\mapsto f(x)-4[/tex] we have [tex]y=(x-1)^2-4[/tex]
This is a vertical translation 4 units down, so now the minimum is -4, which appears in the equation.
The required equation which includes the minimum or maximum of f is given as f(x) = (x - 1)² - 4. Option A is correct.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
First of all, all the function mentioned does not have a maximum, but have the same minimum, at (1, -4).
But, as of the appearance equation f(x) = (x - 1)² - 4 includes the minimum. because when terminating x it gives minimum y and when terminating it gives x minimum.
Thus, The required equation which includes the minimum or maximum of f is given as f(x) = (x - 1)² - 4. Option A is correct.
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Find the value of x if y = 1/4x and 5x-8y=33.
Answer:
x = 11
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{1}{4}[/tex] x → (1)
5x - 8y = 33 → (2)
Substitute y = [tex]\frac{1}{4}[/tex] x into (2)
5x - 8( [tex]\frac{1}{4}[/tex]x ) = 33
5x - 2x = 33
3x = 33 ( divide both sides by 3 )
x = 11
Answer:
11
Step-by-step explanation:
Given that ,
⇒ y = 1/4x and
⇒ 5x - 8y = 33
We can write 1st equation as ,
⇒ 4y = x
Put x = 4y in 2nd Equation ,
⇒ 5*4y - 8y = 33
⇒ 20y - 8y = 33
⇒ 12y = 33
⇒ y = 33/12
Put this in 1st ,
⇒ 33/12 = 1/4 x
⇒ x = 33/12 × 4
⇒ x = 33/3
⇒ x = 11 .
What is 70 times five
Answer:
350
Step-by-step explanation:
Answer:
350
Step-by-step explanation:
First, do 7 x 5
7 x 5 is 35
Now just add a zero to the end to get 350
I hope this helps! :)
Which equation represents y = −x^2 −2x + 3 in vertex form
Final answer:
The equation y = -x² - 2x + 3 can be expressed in vertex form as y = -(x + 1)² + 4.
Explanation:
The equation y = -x² - 2x + 3 can be expressed in vertex form as:
y = -(x + 1)² + 4
To convert the equation to vertex form, we need to complete the square. Here are the steps:
Factor out a common negative from the first two terms: y = -1(x² + 2x) + 3
Take half the coefficient of x (-2/2 = -1) and square it: (-1)² = 1
Add the squared value inside the parentheses and subtract it outside: y = -(x² + 2x + 1) + 3 - 1
Simplify: y = -(x + 1)² + 2
The vertex form of the equation is y = -(x + 1)² + 4.
What is the sum of the geometric series 243-162+108.....+64/3
Answer:
[tex]\frac{463}{3}[/tex]
Step-by-step explanation:
The given geometric series is:
243-162+108.....+64/3
The first term is [tex]a=243[/tex].
The common ratio is:
[tex]r=\frac{-162}{243}=-\frac{2}{3}[/tex]
The sequence is finite, so we can generate all the terms by repeatedly multiplying by the common ratio until we get to the last term.
The complete series is
243-162+108-72+48-32+64/3
The sum is:
[tex]243+108+48+64/3-162-72-32=\frac{463}{3}[/tex]
Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance
Answer:
(2,-2)
(10,-10)
(2,-9)
(7,-10)
Step-by-step explanation:
The given point is (2,-10)
This point is in the fourth quadrant.
To be able to use the number line to find the distance between this point , (2,-10) and another point in the fourth quadrant, the second point must have the same x-coordinate with this point or the same y-coordinate with this point.
Answer:
A
B
D
E
Step-by-step explanation:
simple stuff i know
Find the radius of the circle whose equation is x^2 + y^2 = 4.
Answer:
Radius = 2.
Step-by-step explanation:
We have been given equation of the circle which is [tex]x^2 + y^2 = 4[/tex].
Now we need to find the radius of the given circle [tex]x^2 + y^2 = 4[/tex].
To find that let's compare with the formula of the circle with standard equation of the circle [tex]x^2 + y^2 = r^2[/tex], where r is the radius.
We get [tex]r^2 = 4[/tex]
take square root of both sides.
[tex]r=2[/tex]
Hence radius of the given circle is r = 2.
NEED HELP FAST!!!!!!!!!
h= k/j
Multiply by j for the left and right hand side
(h)(j)= k/j(j)
Cross out j and j for the right hand side.
hj= k
answer is : k= hj
I think this is the answer
ANSWER
[tex]k = hj[/tex]
EXPLANATION
The given formula is:
[tex]h = \frac{k}{j} [/tex]
We want to solve this formula for k.
Let us multiply both sides by j.
[tex]h \times j = \frac{k}{j} \times j[/tex]
Cancel the common factors.
[tex]hj = k[/tex]
Or we rewrite to obtain,
[tex]k = hj[/tex]
k is now isolated on one side of the equation.
Help me with my math don't get it! ;(
Answer:
B
Step-by-step explanation:
So, we know that this inequality has an "at most" in its phrase, therefore signifying the sign x ≤ 5. Since the x is in the left side without any negatives, so the arrow goes left, and the circle is filled. So, B.
which graph represents the function?
[tex]f(x) = \sqrt[3]{x + 2} [/tex]
Answer:
The top-right graph.
Step-by-step explanation:
Because f(-2) = 0.
The graph which represents the non-linear function with power 1/3 is similar graph in right side of upper option. Thus, the option B is correct.
What is non-linear graph?When the graph of the function represents the straight line, then it is called the linear function.
The graph of a function in which the power of variable is more than one is called the non-linear graph.
The function given in the problem is,
f(x)=∛(x+2)
It is a non-linear function. This function can be written as,
[tex]f(x)=(x+2)^\dfrac{1}{3}[/tex]
The graph of this function is attached below. This graph passes from the point (-2,0) and (0,1.26) and looks similar to the option B (right side of upper option).
Hence, the graph which represents the non-linear function with power 1/3 is similar graph in right side of upper option. Thus, the option B is correct.
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This question is confusing the bejubes out of me =(
Answer:
Final answer is [tex]c=12t[/tex].
Step-by-step explanation:
Given that the amount c of energy you burn and the time t you spend exercising, if you burn calories at a rate of 12 Cal/min.
Now we need to write a function rule for the relationship between c and t.
given that cal/min=12
or [tex]cal/min=12/1[/tex]
or [tex]c/t=12[/tex]
or [tex]c=12t[/tex]
Hence final answer is [tex]c=12t[/tex].
what is the range of 4,5,10,10,16
Range is the biggest number minus the smallest from the list.
R = 16 - 4
R = 12
The range is 12.
Select the number property that will justify the step in the following expression. 6 + (14 + 70) = (6 + 14) + 70 = 20 + 70 = 90
Answer: Associative property of addition.
Step-by-step explanation:
The rule for the Associative property of addition is:
[tex]a + (b + c) = (a + b) + c[/tex]
Therefore, this property establishes that it does not matter how you group the numbers, the sum will not change.
You can observe that, in this case, the numbers of the given addition can be grouped as [tex]6 + (14 + 70)[/tex] or [tex](6 + 14) + 70[/tex], and the sum will be the same.
Then, you get:
[tex]6 + (14 + 70) = (6 + 14) + 70 = 20 + 70 = 90[/tex]
The length And width of a rectangle each less than 1 unit long. Which statement is true about the area of the rectangle?
Area is calculated by multiplication of dimensions:
length×width= Area
both are lesser than 1, let's say 0.5 and 0.9 as examples.
0.5×0.5=0.25
0.9×0.9=0.81
you see the area is less than one and area can never be negative so first answer is the right answer.
The correct statement is option a. The area is between 0 square units and 1 square units
What is a rectangle?Any 2-diamensional figure bounded by 4 sides in which opposite sides are equal and parallel and all the 4 angles are right angled.
How to find which statement is true about the area of the rectangle?The area of rectangle can be calculated by the formula = Length x breadth( or width)Here the length and width of a rectangle each less than 1 unit long.Now, 0 unit<length<1 unit
0 unit<width<1 unit
∴ Area of the rectangle = (length x width)
We know that if any quantity whose value lies between 0 and 1 is multiplied to another quantity whose value also lies between 0 and 1 ,then the answer will also lie between 0 and 1.If the values of both the quantities are 1, then the product will be 1⇒ 0 square units <Area of the rectangle <1 square units
∴ The area of the rectangle is between 0 square units and 1 square units
The first option matches with the answer.
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Nate is wrapping a present the gift is a right rectangular prism with the base measuring 15“ x 12“ and a height of 8 inches what is the surface area?
Write an equation of the line that is perpendicular to the line y = 2x + 8, and which passes through the point (6,-2).
A) y = 2x + 4
B) y = -2x + 1
C) y = -
1
2
x - 4
D) y = -
1
2
x + 1
Answer:
y = -1/2 x + 1
Step-by-step explanation:
Lines that are perpendicular to each other have slopes that are negative reciprocals. You get the negative reciprocal of a number by flipping the fraction for the slope, then changing the positive/negative.
The lines are written in slope-intercept form, y = mx + b.
"x" and "y" are points on the line.
"m" is the slope.
"b" is the y-intercept.
In y = 2x + 8, the slope is 2. Find its negative reciprocal.
Write the slope as a fraction.
[tex]m=2=\frac{2}{1}[/tex]
Flip the fraction.
[tex]m=\frac{1}{2}[/tex]
Change the negative/positive.
[tex]m=-\frac{1}{2}[/tex] This is the slope of the perpendicular line.
Now we need to find the y-intercept, "b", for our line. We know m = -1/2, and we know a random point (6, -2). Points are written (x, y), which mean x = 6 and y = -2. Substitute the values of the point and the slope into y = mx + b.
[tex]y = mx + b[/tex]
[tex]-2 = -\frac{1}{2}*6 + b[/tex] Multiply (-1/2)(6) by combining into the numerator
[tex]-2 = -\frac{6*1}{2} + b[/tex] Simplify numerator
[tex]-2 = -\frac{6}{2} + b[/tex] Reduce fraction
[tex]-2 = -3 + b[/tex] Isolate "b" now
[tex]-2 + 3 = -3 + b + 3[/tex] Add 3 to both sides
[tex]1 = b[/tex] Solved for "b"
[tex]b=1[/tex] Write the variable on the left side for standard formatting
b = 1 and m = -1/2
Substitute them into slope-intercept form for the final answer.
y = -1/2 x + 1
To find the equation of a line perpendicular to a given line and passing through a specific point, use the negative reciprocal of the original line's slope. Applying this to the point-slope form of the line equation gives y = -(1/2)x + 1, which is the correct answer as per the given options.
Explanation:The subject of the question is about writing the equation of a line that is perpendicular to another line, specifically y = 2x + 8, and passes through a specific point (6, -2). The concept involved here is the slope of the lines. The slope of a line perpendicular to another is the negative reciprocal of the original line's slope. Since the slope of our given line is 2, the slope of the line that is perpendicular to this would be -1/2.
Using the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the point through which the line passes, we can substitute m = -1/2 and (x1, y1) = (6, -2). Therefore, the equation of the line is y = -(1/2)x + 1.
The correct answer from the given options is (D) y = -(1/2)x + 1.
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what is the sum of -5/7 + 4/7?
Answer:
1/7
Step-by-step explanation:
Answer: -1/7
Step-by-step explanation: Since the fractions have the same denominator you can add them together without trying to have to change it
30 points answer asap!!!!!!!!!!!!!!!!!!!!Which expression represents the lateral surface area of the cone?
Answer:
it would be b
PLEEEAAAASE HELLP!!!Tina is making a cylindrical sandbox that has a radius of 2 feet. She bought 18.84 cubic feet of sand for the sandbox. Which height does she need to make the sandbox to fit all the sand?0.5 ft, 0.75 ft, 1 ft, 1.5 ft.
Answer:
Step-by-step explanation:
The answer is 1.5 ft i just took the test
Answer:
The correct option is 4.
Step-by-step explanation:
The volume of a cylinder is
[tex]V=\pi r^2h[/tex]
where, r is radius of the base and h is height of the cylinder.
It is given that the radius of the cylindrical sandbox is 2 ft and the volume of cylindrical sandbox is 18.84.
[tex]18.84=(3.14)\times (2)^2\times h[/tex] [tex][\because \pi=3.14][/tex]
[tex]18.84=(3.14)\times 4\times h[/tex]
[tex]18.84=12.56\times h[/tex]
[tex]\frac{18.84}{12.56}=h[/tex]
[tex]1.5=h[/tex]
The height of the sandbox is 1.5 ft. Therefore the correct option is 4.
PLEASE ANSWER ASAP! THANK YOU! SUPER EASY! Mrs. Davis is planning to put a circular rug in her living room. The circumference of the rug is 31.4 ft. Use this information to answer the following questions. Use 3.14 for π. C=πD. A = π r^2.
Answer:
Part A) The diameter of the rug is [tex]10\ ft[/tex]
Part B) The radius of the rug is [tex]r=5\ ft[/tex]
Part C) The area of the rug is [tex]78.5\ ft^{2}[/tex]
Step-by-step explanation:
Part A) Find the diameter of the rug
we know that
The circumference of a circle (circular rug) is equal to
[tex]C=\pi D[/tex]
where
D is the diameter
we have
[tex]C=31.4\ ft[/tex]
[tex]\pi=3.14[/tex]
substitute the values and solve for D
[tex]31.4=(3.14)D[/tex]
[tex]D=31.4/(3.14)=10\ ft[/tex]
Part B) Find the radius of the rug
we know that
The radius of a circle (circular rug) is half the diameter
we have
[tex]D=10\ ft[/tex]
[tex]r=D/2[/tex]
substitute
[tex]r=10/2=5\ ft[/tex]
part C) What is the area the rug is covering?
The area of the circle (circular rug) is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=5\ ft[/tex]
[tex]\pi=3.14[/tex]
substitute
[tex]A=(3.14)(5)^{2}[/tex]
[tex]A=78.5\ ft^{2}[/tex]
In the 30-60-90 triangle below, side s has a length of _
length of
_and side q has a?
(e) is the homogeneous mixture
Answer:
it is E
Step-by-step explanation:
Just finished the test
What is the measure of bac
50
80
100
130
Answer:
80
Step-by-step explanation:
The measure of a triangle is 180.
Answer: The answer to your question is 80
Step-by-step explanation: The first thing you do is set up your problem to find the side measure of bac, which is an angle they are looking for. The problem would look like this:
180-50+50
180-100
=80 degrees
You are able to bike 20 miles in the same time that your friend ran 3 miles. If your speed was 5 miles per hour faster on average than your friend's speed, what was the average speed of your friend?
Answer:
Step-by-step explanation:
Givens
d = 20 for the bike
d1 = 3 for the person
rate of person = r
rate of bike = r + 5
Formula
d = r*t; t = d/r
Solution
t is the same for both
20/(r + 5) = 3/r Cross multiply
20*r = 3*(r + 5) Remove the brackets.
20*r = 3r + 15 Subtract 3r from both sides.
20r - 3r = 3r - 3r + 15 Combine
17r = 15 Divide by 17
r = 15/17
r = 0.8824 miles per hour running
according to the graph what is the value of the constant in the equation below
Answer: D or 36 just answered on apex
Step-by-step explanation:
To find the constant in an equation with a graph, examine the graph's features such as slope, intercept, or specific data points and compare them with theoretical constants provided, like k1, k2, k3, k4, and K3.
Explanation:The value of the constant in the equation being discussed is related to graphing functions and the characteristics of lines and curves on a graph. In general, when determining a constant from a graph in mathematics, it is essential to look at certain features such as the slope, the intercept, or specific data points depending on the context of the problem. For instance, if we are trying to find a constant of proportionality (k), we might use a linear fit of data points to determine the slope, which then gives us the value of k. Similarly, other constants may be deduced by comparing the theoretical values with the actual data points on the graph.
To determine the value of a constant such as k in a force (F) versus displacement (x) graph, one would label the transition region of the graph and use the given constants (e.g., k1, k2, k3, k4, K3) to measure the force. The slope (m) of the line on the graph is representative of how the value changes along the graph and is calculated using the change in y over the change in x. In situations where the graph does not display a constant force, the value may be represented by the area under the force versus distance graph.
40 POINTS NEED HELP FAST(sqrt is a radical)
1.)simplify:
sqrt425
sqrt628
sqrt128
2.)add:
-2sqrt7+3sqrt7
3.)subtract:
-3sqrt12-3sqrt3-3sqrt20
4.)multiply:
3sqrt3(3sqrt8)
3sqrt3(4-3sqrt5)
1)5sqrt17,2sqrt157,8sqrt2
2)sqrt7
3)-3(3sqrt3+2sqrt5)
4)18sqrt6,12sqrt3-9sqrt15
Plz help me with this
Answer: A) y = -4
Step-by-step explanation:
The midline is usually at y = 0. In the given equation, the graph is shifted down 4 units so the new midline is at -4.
The dot plot shows how many games of chess 8 different members of the chess club played in one month. If Jackson is a new member of the chess club, how many games of chess is he likely to play in one month?
Answer:
9
Step-by-step explanation: