Answer: \(y=-0.54x+19.8\)
Step-by-step explanation:
Because it is asking for a line, it cannot be the first option (which is a quadratic) or the fourth option (which is an exponential).
This leaves us with the second and third options.
Since the line will have a negative slope (as the data is decreasing), this means that the only viable option is \(y=-0.54x+19.8\).
Draw a model to help solve 5/6 + 1/4. Write your answer as a mixed number. You do not have to simplify.
Answer: 1 1/12
CAN YOU MARK ME BRANLIEST:))
Step-by-step explanation:
Find the LCD of 5/6 and 1/4 and rewrite to solve with the equivalent fractions.
LCD = 12
10/12 +3/12= 13/12
simplify the fraction part 13/12.
13/12= 1 1/12
The value of solution in mixed fraction is, 1 1/12.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The expression is,
⇒ 5/6 + 1/4
Now, Simplify the expression as;
⇒ 5/6 + 1/4
Take LCM of {6, 4} = 12
⇒ 10/12 + 3/12
⇒ (10 + 3) / 12
⇒ 13 / 12
⇒ 1 1/12
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The type of graph used by precision teachers to track rate of learning and ensure the learner is on track for attaining fluency.
A. Line Graph
B. Scatterplot
C. Standard Celeration Chart
Standard Celebration Chart is used by precision teachers to track rate of learning and ensure the learner is on track for attaining fluency.
Since , It is a consistent display of frequency of change over time (celebration) precision teachers use it to track rate of learning and ensure the learner is on track for attaining fluency. The Standard Celebration Chart (initially called the Standard Behavior Chart) is used to observe and improve human learning and interaction. The chart shows the frequency of performance and its celebration, i.e., growth of learning across time.
Frequency, whose formula is
F = Count/Time,
Tells what happened during a specific time.
Celebration, whose formula is
C = Count/Time/Time, or Frequency/Time, tells what happens across the longer period of time – weeks, months, years, or decades.
All Standard Celebration Charts retain and present the original data in the form of frequency and celebration.
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A projectile is launched from the ground with an initial speed of 220 ft/sec at an angle of 60° with the horizontal.
What is the height of the projectile after 4 seconds?
How long is the projectile in the air?
What is the horizontal distance traveled by the projectile?
What is the maximum height of the projectile?
The height of the projectile after 4 seconds is 421.28 ft.
The projectile is in the air for 8.015 seconds.
The horizontal distance traveled by the projectile is 881.77 ft.
The maximum height of the projectile is 464.1 ft.
To solve this problem, we can use the kinematic equations of motion for a projectile.
Let's assume that the initial height of the projectile is zero.
What is the height of the projectile after 4 seconds:
We can use the equation:
\(y = yo + vot + 1/2at^2\)
where
y = height of the projectile
yo = initial height (zero in this case)
vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec
a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)
t = time = 4 sec
Plugging in the values, we get:
\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)
Therefore, the height of the projectile after 4 seconds is 421.28 ft.
Long is the projectile in the air:
The time of flight of a projectile can be calculated using the equation:
t = 2vo sinθ / g
where θ is the launch angle and g is the acceleration due to gravity.
Plugging in the values, we get:
t = 2(220 sin(60°)) / 32.2 = 8.015 sec
Therefore, the projectile is in the air for 8.015 seconds.
Horizontal distance traveled by the projectile:
The horizontal distance traveled by the projectile can be calculated using the equation:
\(x = xo + vot + 1/2at^2\)
where
x = horizontal distance traveled
xo = initial horizontal position (zero in this case)
vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec
a = acceleration due to gravity (zero in the horizontal direction)
t = time = 8.015 sec
Plugging in the values, we get:
\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)
Therefore, the horizontal distance traveled by the projectile is 881.77 ft.
Maximum height of the projectile:
The maximum height of a projectile can be calculated using the equation:
\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)
Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)
Therefore, the maximum height of the projectile is 464.1 ft.
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Given f(x) = x ^ 2 + 3x and g(x) = 2x ^ 2 find (f g) (- 1) .
Type answer only in the box.
Answer:
-4
Step-by-step explanation:
You want the value of (f·g)(-1) when f(x) = x² +3x and g(x) = 2x².
ProductThe product of the functions is the product of their values for each value of x.
(f·g)(-1) = f(-1)·g(-1) = ((-1)² +3(-1)) × (2(-1)²) = (1-3)(2·1) = (-2)(2)
(f·g)(-1) = -4
The
of a plane is 2.
Answer:
The seat no of a plane is 2
in this figure below triangle GHI is similar to Triangle MHL what is the distance between M and H 12 16 24 or 27
I'll mark anyone who answers this question brainliest please help I'm about to fail
The distance between M and H is given as follows:
x = 21.3.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.The proportional relationship between the side lengths is given as follows:
x/18 = 24/16
Applying cross multiplication, the distance between M and H is obtained as follows:
16x = 24(18)
x = 24 x 18/16
x = 27.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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What number do you have when u ou start at 0 and move 5 units to the left?
please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
Solve algebraically:
1. e^-3x=2
2. ln(3x-5)=ln11+ln2
3.logof4(x-1)+logof4(x+2)=1
4.8^x=4^x-3
Answer:
Step-by-step explanation:
1) 2e^3
2) x = 9
3) ln (16f^2o^2)
4) No solution
Is 2/5 closest to 0, 1/2 or 1
Answer:
1/2
Step-by-step explanation:
2/5 = 0.4
1/2 = 0.5
So 2/5 is closer to 1/2 since it is only 0.1 away whilst 1 is 0.6 away and 0 is 0.4 away
Answer:
It is closer to 1/2
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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Imagine math Item 994395
Start with the equation 0.2=0 to explain why -4-2 must equal -8.
Drag descriptions and equations to the table to complete the explanation.
In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.
1. Begin with the equation 0.2 = 0.
2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.
This simplifies to 0 = -0.2.
3. Observe that the right side of the equation, -0.2, is a negative number.
4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.
5. Rewrite the equation as 0 = +0.2.
6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.
7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.
8. Simplify the equation to 0 = +0.2.
9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.
10. As a result, the original equation 0.2 = 0 is invalid.
11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.
12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.
To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.
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how do u graph s ≤ 60 - (3 ÷ 1/15)
Answer:
s≤15
Step-by-step explanation:
since its a ≤ you will need to fill in the circle..
can i have help with this pls, no one will teach me it
Answer:
x = 21
Step-by-step explanation:
As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:
3x + 18 + 4x + 15 = 180 add like terms
7x + 33 = 180 subtract 33 from both sides
7x = 147 divide both sides by 7
x = 21
Find the perimeter for a rectangle that has an area of 2x^2+6x-8 and length of 2x-2. (Hint: First find the length)
Find Linear Functions using Graphs: y = 6x - 4
Answer:
\(x=\frac{y+4}{6}\)
Step-by-step explanation:
y=6x−4
Swap sides so that all variable terms are on the left hand side.
6x−4=y
Add 4 to both sides.
6x=y+4
Divide both sides by 6.
\(\frac{6x}{6}=\frac{y+4}{6}\)
Dividing by 6 undoes the multiplication by 6.
\(x=\frac{y+4}{6}\)
Divide y+4 by 6.
\(x=\frac{y}{6} +\frac{2}{3}\)
ANSWER:
x=1/6y + 2/3
y= 6x - 4
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.PLEASE HELP!! I don't really know how to solve this.
Answer:
x=13
y=14
Step-by-step explanation:
We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.
Knowing this, we can write two equations: \(4x-1=3y+9\) and \((4x-1)+(2x+6y+19)=180\). We can solve for y in the first equation. Subtracting 9 from both sides gives us \(4x-10=3y\). Dividing both sides by 3 gives us \(\frac{4x-10}{3} =y\).
We can plug that in to the second equation to get \((4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180\). Expanding the second parenthesis, we get \(2x+8x-20+19\) which equals \((10x-1)\). We now have \((4x-1)+(10x-1)=180\). Expanding gives us \(14x-2=180\). Adding 2 to both sides gives us \(14x = 182\). Dividing both sides by 14 gives us \(x=13\).
We can now plug 13 into the above equation to solve for y. \(y= \frac{4*13-10}{3}\) Solving that gives you \(y=14\).
I’m so confused! How am I meant to figure this out.
Answer:
The volume of a cone is calculated using the formula below
\(V_{cone}=\frac{1}{3}\pi r^2h\)The height is multiplied by 4, we will have the new height be
\(\begin{gathered} h=4\times h \\ h=4h \end{gathered}\)The radius id multiplied by 4, we will have the new radius be
\(\begin{gathered} r=4\times r \\ r=4r \end{gathered}\)By substituting the new values of the height and radius in the equation od the volume of a cone, we will have
\(\begin{gathered} V_{cone}=\frac{1}{3}\times\pi r^2h \\ V_2=\frac{1}{3}\times\pi\times(4r)^2\times(4h) \\ V_1=\frac{1}{3}\times64\pi r^2h \\ V_1=\frac{64}{3}\pi r^2h \end{gathered}\)By dividing the new volume by the initial volume, we will have
\(\begin{gathered} =\frac{\frac{64}{3}\pi r^2h}{\frac{1}{3}\pi r^2h} \\ =64 \end{gathered}\)Hence,
The final answer is
The volume of the cone is multiplied by 64
6 more than the quotient of 9 and f
Answer:
9/f +6
Write 9/f as a fraction.
100 POINT AND BRAINERLEST PROMISE
A box of energy bars contains 8 bars.
The total weight of the bars is
102 ounces. If each bar has the same
weight, what is the weight of one bar?
Answer:
the weight of one bar is 12.75
Step-by-step explanation:
divide the total weight by the total number of bars
A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?
The exponential growth formula is 3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet is 63.16 years.
What is the exponential growth formula?The exponential growth formula usually has this form:
FV = P (1 + r)^n
FV = Future growth P = Present growth R = rate of growthN = number of years3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years
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Please help me this is due today
Answer:
x=20
Step-by-step explanation:
both of these angles equal each other
3x+50=6x-10
-3x. -3x
50= 3x-10
+10 +10
60=3x
/3. /3
20=x
hopes this helps please mark brainliest
Write 80% as a decimal.
I
help me??
Answer:
0.8
Step-by-step explanation:
A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is 0.012%
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Incidence rate = 0.3%False negative rate = 6%False positive rate = 4%The probability that a person who tests positive actually has the disease is represented as
Probability = Incidence rate * False positive rate
Substitute the known values in the above equation, so, we have the following representation
Probability = 0.3% * 4%
Evaluate the products
Probability = 0.012%
Hence, the probability is 0.012%
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Michael wanted to see what kitchen cleaner worked best for cleaning her counters. He used Lysol, Clorox, Pinesol, and just water. For each cleaner, he put 5 milliliters of grape juice on the counter, sprayed the cleaner, and wiped it with one paper towel.
Answer:
whichever paper towel observer's the most juice is the best brand
find the bearing of a from b
find the bearing of b from a
Answer:
130° and 310°
Step-by-step explanation:
the bearing of A from B is the measure of the clockwise angle from a north line at B to A
the angle at B and A are same- side interior angles and sum to 180°
angle at B = 180° - 50° = 130°
the bearing of A from B is then 130°
the bearing of B from A is the measure of the clockwise angle from the north line at A to B
the complete angle about A = 360° then clockwise angle from north line at A to B is
360° - 50° = 310°
the bearing of B from A is 310°
Find the area of a triangle,where three sides are 5,6,7
The area of the triangle with side lengths 5, 6, and 7 is approximately 14.6969 square units.
To find the area of a triangle when the lengths of its three sides are given (5, 6, and 7), we can use Heron's formula. Heron's formula states that the area of a triangle with side lengths a, b, and c can be calculated as:
Area = √(s(s - a)(s - b)(s - c))
where s is the semi perimeter of the triangle, given by:
s = (a + b + c) / 2
Let's calculate the area step by step:
Determine the lengths of the sides.
a = 5
b = 6
c = 7
Calculate the semi perimeter.
s = (a + b + c) / 2
s = (5 + 6 + 7) / 2
s = 18 / 2
s = 9
Apply Heron's formula to find the area.
Area = √(s(s - a)(s - b)(s - c))
Area = √(9(9 - 5)(9 - 6)(9 - 7))
Area = √(9(4)(3)(2))
Area = √(216)
Area = 14.6969 (rounded to four decimal places)
Therefore, the area of the triangle with side lengths 5, 6, and 7 is approximately 14.6969 square units.
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What is the area (in square feet) of a rectangle that measures 12'-7" by 9'-9"?
Answer:
122.6875 (122 ft 8.25 in)
Step-by-step explanation:
12 ft 7in = 151 in
9 ft 9 in = 117 in
151 x 117 = 17667
17667in = 122 ft and 8.25 in = 122.6875 ft
If my answer is incorrect, pls correct me!
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-Chetan K