Answer: your graph should look like the picture down below!!
Step-by-step explanation:
Vetex: (0,80)
Focus: (0, 5119/64)
Axis of symmetry: x=0
The graph for the given exponential function is shown in the figure.
What is a exponential function?An exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent. It is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
For the given situation,
The exponential function is h = -16t^2+80.
Plot this exponential function in the graph.
We can obtain the graph shown below.
From the graph, the vertex is (0,80)
Hence we can conclude that the graph for the given exponential function is shown in the figure.
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What is the residual value when x = 3? –1.8 –0.2 0.2 1.8
Answer:
-1.8
Step-by-step explanation:
The residual value is -1.8 if the line of the best fit is y = 1.6x - 4 and the actual value is -1 option first is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The missing data:
The line of the best fit is:
y = 1.6x - 4
When x = 3
Plug x = 3 in the above line equation:
y = 1.6(3) - 4
y = 4.8 - 4
y = 0.8
Now the residual value = actual value - expected value
= -1 -0.8
= -1.8
Thus, the residual value is -1.8 if the line of the best fit is y = 1.6x - 4 and the actual value is -1
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A bag contains purple marbles and yellow marbles, 52 in total. The number of purple marbles is 4 more than 3 times the number of yellow marbles. How many purple marbles are there?
Answer:
16
Step-by-step explanation:
This question can be modeled using the equation 3x+4=52 (x is the purple marbles). To solve this equation subtract 4 from both sides, making it 3x=48. divide both by three showing x=16. This shows that 16 is the answer.
Answer:
40
Step-by-step explanation:
P= purple marbles
Y= yellow marbles
P+y=52
P=3y+4
Anyways. I got it wrong and the website says 40.
Solving systems of equations algebraically.
y = x + 2
y= 3x -2
And SHOW YOUR WORK!!!!
Answer:
x = 2
y = 4
Step-by-step explanation:
Since it gives you the "value" of y, just plug one of them into an equation:
y = x + 2
3x - 2 = x + 2
Now, subtract x from both sides:
3x - 2 = x + 2
-x - x
__________
2x - 2 = 2
Then, add 2 to both sides:
2x - 2 = 2
+ 2 + 2
________
2x = 4
Finally, divide both sides by 2:
2x = 4
x = 2
Now to get y, just plug in 2 for x in an equation:
y = x + 2
y = 2 + 2
y = 4
A club has 20 girls and 30 boys. If two
names are drawn at random from a
box, what is the probability a boy and
girl are selected if the names are
returned to the box?
Which of the following properties can numbers have?
They can be positive.
They can be zero.
They can be negative.
They can be both positive and negative.
They can be absolute value.
Answer:
They can be positive.
They can be zero.
They can be negative.
They can be absolute value.
Step-by-step explanation:
A number is an abstract entity used to describe quantity.
Zero, one, -1, 2.5, pi are all numbers.
The number is a member of one of the several classes: natural numbers, integers, rational numbers, real numbers, complex numbers, quaternions.
A number can't be both negative and positive.
The options 1, 2, 3, and 5 are correct.
What are numbers?A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.
As per the given data:
We are given some properties of numbers in the options, and we have to find which among the following options are true.
They can be positive.
This is correct, as numbers can be positive
They can be zero.
This is correct, as a number can be zero.
They can be negative.
This is correct, as numbers can be negative.
They can be both positive and negative.
This is incorrect, as numbers can't be both positive and negative.
They can be absolute value.
This is correct, as numbers can have an absolute value.
Hence, the options 1, 2, 3, and 5 are correct.
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Can someone find the volume of this shape and show work please? ASAP
Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.
In parallelogram LMNO, what is the measure of angle M?
20°
60°
80°
100°
Answer:
Answer:
80degrees
Step-by-step explanation:
Find the diagram attached
From the diagram, the opposite angle of the parallelogram are equal hence;
5x= 3x+40
5x - 3x = 40
2x = 40
x = 40/2
x = 20degrees
Also <M + <N = 180
<M + 5x = 180
<M + 5(20) = 180
<M + 100 = 180
<M = 180-100
<M = 80degrees
Hence the measure of angle M is 80degrees
Step-by-step explanation:
For the given parallelogram measure of angle M is 80 degrees.
In the given parallelogram,
Angle N = 5x degree
Angle L = (3x + 40) degree
Now for parallelogramm
angle L = angle N
⇒ (3x + 40) = 5x
⇒ 2x = 40
⇒ x = 20
We know that for a parallelogram sum of two consecutive angles = 180 degrees.
Angle M + angle N = 180 degree
⇒ Angle M + 5(20) = 180 degree
⇒ Angle M = 80 degree
Hence the measure of angle M is 80 degree.
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A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour
Final answer:
The plumber charges $35 per hour, calculated by dividing the change in total cost ($105) by the change in hours (3).
Explanation:
To find the rate of change in dollars per hour for the plumber's charges, we need to use the definition of rate of change, which is the change in cost divided by the change in time.
Here are the steps for calculation:
Determine the change in cost: $235 - $130 = $105.Determine the change in time: 5 hours - 2 hours = 3 hours.Calculate the rate of change: $105 ÷ 3 hours = $35 per hour.This means the plumber charges $35 per hour for their service.
Is (1, 7) a solution to this system of inequalities? y < x + 8 y ≤ 6x + 1
Answer:
-8
Step-by-step explanation:
Final answer:
Upon checking both inequalities, the point (1, 7) satisfies y < x + 8 and y ≤ 6x + 1. Thus, (1, 7) is a solution to the system of inequalities.
Explanation:
To determine if the point (1, 7) is a solution to the given system of inequalities, we need to check if the point satisfies both inequalities. The system is:
y < x + 8
y ≤ 6x + 1
For the first inequality:
y < x + 8
7 < 1 + 8
7 < 9 ⇒ True
For the second inequality:
y ≤ 6x + 1
7 ≤ 6(1) + 1
7 ≤ 7 ⇒ True
Since the point (1, 7) satisfies both inequalities, it is indeed a solution to the system.
Solve the equation using the distributive property and properties of equality.
5(a+ 3) = -55
Answer:
a = -14
Step-by-step explanation:
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, divide 5 from both sides:
(5(a + 3))/5 = = (-55)/5
a + 3 = -55/5
a + 3 = -11
Next, fully isolate a by subtracting 3 from both sides:
a + 3 (-3) = -11 (-3)
a = -11 - 3
a = -14
a = -14 is your answer.
~
Final Answer:
a = -14In-depth explanation:
Hi! The question is asking us to solve the equation, which is:
[tex]\large\textbf{5(a + 3) = -55}[/tex]
Use the distributive property to simplify the left-hand side:
[tex]\large\textbf{5a + 15 = -55}[/tex]
Subtract 15 from each side:
[tex]\large\textbf{5a = -55 - 15}[/tex]
[tex]\large\textbf{5a = -70}[/tex]
Divide each side by 5:
[tex]\large\textbf{a = -14}[/tex]
∴ the answer is a = -14.[tex]\rule{350}{1}[/tex]
the chef is making 10.5 batches of dinner rolls. For each batch, he kneaded dough for 0.7 and let the dough rest for 1.6 hours. Then he baked the dough for 0.4 hours. How long does it take to make each batch of dinner rolls
Answer: 2.7 hours
Step-by-step explanation:
Hi, to answer this question we simply have to calculate the amount of time that takes making one batch of dinner rolls, by adding the individual times of, kneading, resting and baking.
Mathematically speaking
0.7 hours +1.6 hours +0.4 hours = 2.7 hours
It takes 2.7 hours to make each batch of dinner rolls.
Will mark brainliest. Include explanation.
Answer:
D. 4x + 32; E. 4(x + 8)
Step-by-step explanation:
The correct answer is none. This problem is incorrect. The perimeter of a polygon is the sum of the lengths of all the sides. A perimeter is a length, not an area. A perimeter is expressed in feet, not square feet.
Ignoring the "square feet" part, once again, the perimeter is the sum of the lengths of all sides. Since this is a square, all sides have the same length, and there are 4 sides.
perimeter = 4s
perimeter = 4(x + 8) = 4x + 32
Describe the transformation f(x) = √x + 1 − 5 in words. The parent function f(x) = √x has been shifted 1 unit and 5 units.
We conclude that the parent function f(x) = √x has been shifted 1 unit to the left and 5 units downwards.
How was the parent function transformed?
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the translation is upwards.If N is negative, the translation is downwards.For a function f(x), a horizontal translation of N units is written as:
g(x) = f(x) + N
If N is positive, the translation is to the left.If N is negative, the translation is to the right.Here we have f(x) = √x, and g(x) = √(x + 1) - 5
Then:
g(x) = f(x + 1) - 5
From this, we conclude that the parent function f(x) = √x has been shifted 1 unit to the left and 5 units downwards.
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What happens to the value of the expression 4d as d increases?
Answer:
simple its decrease
Step-by-step explanation:
Solve the inequality: −2x > −6 Question 3 options: x < −3 x > 3 x > −3 x < 3
Answer:
divide both sides of the inequality by -2 and flip the inequality sign the you get (x < 3)
To solve the inequality -2x > -6, divide both sides by -2, remembering to reverse the inequality sign, to obtain x < 3 as the solution.
To solve the inequality -2x > -6, we start by isolating the variable x. To do this, we divide both sides of the inequality by -2. It's important to remember that when we divide or multiply both sides of an inequality by a negative number, we must reverse the direction of the inequality sign. Thus, dividing by -2, the inequality becomes x < 6/2. Simplifying further, we find that x < 3.
Others parts of the referenced information discuss concepts like absolute values, z-scores, and transitivity of numbers but are not directly relevant to solving this inequality.
Hence, the correct answer to the inequality is x < 3.
Alex needs to report his bowling average for the school newspaper. Here are his scores from the last 20 games: 132, 141, 110, 96, 154, 135, 111, 139, 102, 135, 133, 127, 99, 124, 129, 201, 131, 128, 134, and 135. Part A: What are the mean and median of this data? Part B: Which one of those two measures of central tendencies should he use for the newspaper and why? Part C: Are there any outliers? Please answer ASAP
Answer:
Part A:
Mean: 129.8
Median: 131.5
Step-by-step explanation:
The mean is the average so we add everything together and then divide it by however many numbers there are. 132 + 141 + 110 + 96 + 154 + 135 + 111 + 139 + 102 + 135 + 133 + 127 + 99 + 124 + 129 + 201 + 131 + 128 + 134 + 135 = 129.8
The median is the number in the middle. That is the number in between the rest from smallest to largest. 96, 99, 102, 110, 111, 124, 127, 128, 129, 131, 132, 133, 134, 135, 135, 135, 139, 141, 154, and 201
The medians are 131 and 132 so we add them together then divide by 2. That gives is 131.5 so that is our answer. I hope this helps and please mark me brainliest!
HELP PLEASE
Which function is equivalent to q(x) = 9x2 – 24x + 16?
F q(x) = (9x - 4)(x – 4)
G q(x) = (3x + 4)
H q(x) = (9x + 4)(x + 4)
J q(x) = (3x – 4)
Answer:
Step-by-step explanation:
Just took it. I selected your answer and got it wrong. Here is my answer.
The correct option is F q(x) = (9x - 4)(x – 4) is equivalent to q(x) = 9x² – 24x + 16.
To find the equivalent function for q(x) = 9x² – 24x + 16. we need to factor the quadratic equation.
We are looking for two binomials that when multiplied together will give us the original quadratic equation.
In this case, a = 9, b = -24, and c = 16.
We need to find two numbers that multiply to give ac (which is 9 * 16 = 144) and add to give b (which is -24).
The two numbers that satisfy these conditions are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.
Now we can rewrite the middle term of the quadratic equation using these two numbers:
q(x) = 9x² – 24x + 16.
Next, we group the terms:
q(x) = (9x² – 12x) - (12x - 16)
Now we factor out the common factors from each group:
q(x) = 3x(3x - 4) - 4(3x - 4)
We can see that (3x - 4) is a common factor
q(x) = (3x - 4)(3x - 4)
However, we need to be careful here because we have a common factor of 3 in both binomials.
We can factor this out to get the correct factored form:
q(x) = (9x - 4)(x - 4)
This matches option F.
This is the original quadratic equation, confirming that option F is indeed the correct answer.
Could somebody help me with this please?
Answer:
Take a look below;
Step-by-step explanation:
See attachment;
BRAINLIEST !!!!!!for whoever gives me explanation and answer
Answer:
100 x 0.85 = 85
100 x 0.85 = 85
85 x 2 = 170
170/85=2 so divide 100 by 2 = 50
50 x 0.85 = 42.5
50 x 0.85 = 42.5
42.5 + 42.5 = 85
Your answer is 500 hope this helps.
Step-by-step explanation:
Find the probability. Enter your answer as a simplified fraction.
Picking a purple marble from a jar with 15 green and 15 purple marbles.
The probability of picking a purple marble is
Answer:[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
Jar contains 15 Green and
15 Purple marbles
Total marble[tex]=15+15=30[/tex]
Probability of Picking a Purple marble is
[tex]P=\frac{\text{No of Purple marble}}{\text{Total no of marble}}[/tex]
[tex]P=\frac{15}{30}[/tex]
[tex]P=\frac{1}{2}=0.5[/tex]
Therefore probability of picking a marble is [tex]0.5[/tex]
HELP!
What is the volume of the prism?
5.6 cm
4 cm
9 cm
7.8 cm
Answer:
Your answer
Step-by-step explanation:
Answer:140.4 is your answer!
Step-by-step explanation:hope this helped you!have an amazing rest of your night,afternoon or day!
The perimeter of a semicircle is 15.42 kilometers. What is the semicircle's radius?
To calculate the radius(r) from the semicircle's perimeter(P), we rearrange the formula P = πr + 2r to r = P / (π + 2). Substituting 15.42 for P, the radius is approximately 3 kilometers.
Explanation:The subject of this question is Mathematics, specifically geometry and the concept of a semicircle's perimeter. To find the radius of a semicircle with given perimeter (P), we need to use the formula for perimeter of a semicircle which is P = πr + 2r, where r is the radius. Here, P = 15.42 kilometers.
First, we will rearrange the formula to isolate r: r = P / (π + 2). Now, substituting into the formula with the given perimeter, we get r = 15.42 / (π + 2) ≈ 15.42 / 5.14 ≈ 3 km (rounded to nearest whole number).
This means the radius of the semicircle is approximately 3 kilometers.
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Write an equation for the line that passes through the two points:
(4,3), (6, -3)
Answer:
y= -3x+15.
Step-by-step explanation:
To solve this equation, we first need to calculate the slope of the equation:
m= [tex]\frac{-3-3}{6-4}[/tex] m= [tex]\frac{-6}{2}[/tex] m= -3.
Now, we can simply plug in our slope value into our line equation (y= mx+b) with one of the point listed to find our b value.
3= -3(4)+b
3= -12+b
15=b
Finally, the equation we get is:
y= -3x+15
Find the slope of the line. ( -4, -4), ( 4, 3)
Answer:
Step-by-step explanation:
Answer:
Slope:-1/8
Step-by-step explanation:
Slope=(y2-y1)/(x2-x1)
(-4,4) (4,3)
x1 y1 x2 y2
(3-4)/(4-(-4))
-1/(4+4)
-1/8
Find the derivative of f(x) = 6x + 7 at x = 9
Answer:
f'(9) = 6
Step-by-step explanation:
f(x) = 6x+7
The derivative is
f'(x) = 6
Evaluated at x=9
f'(9) = 6
Answer:
6
Step-by-step explanation:
f(x) = 6x + 9
f'(x) = 6 at every point
The orange spinner is spun and then the aqua spinner is spun. What is the probability that the numbers will add to 5 or more?
Final answer:
To find the probability that the numbers on the orange and aqua spinners will add to 5 or more, determine the favorable and total outcomes. The probability is 11/36.
Explanation:
To find the probability that the numbers on the orange and aqua spinners will add to 5 or more, we need to determine the favorable outcomes and the total possible outcomes. Let's say the orange spinner has numbers 1 to 6, and the aqua spinner also has numbers 1 to 6. To get a sum of 5 or more, we can have the following outcomes:
Orange spinner: 1, Aqua spinner: 5 or 6
Orange spinner: 2, Aqua spinner: 4, 5, or 6
Orange spinner: 3, Aqua spinner: 3, 4, 5, or 6
Orange spinner: 4, Aqua spinner: 2, 3, 4, 5, or 6
Orange spinner: 5 or 6, Aqua spinner: 1, 2, 3, 4, 5, or 6
These are a total of 11 favorable outcomes. The total possible outcomes are 6 ×6 = 36, since each spinner has 6 numbers. Therefore, the probability of getting a sum of 5 or more is 11/36.
The probability of a chance event is 0.05, it is
to happen
when compared to a chance event with a probability of 0.
Select one:
more likely
both more and less likely
less likely
equally likely
Answer:
less
Step-by-step explanation:
Can you help me with this question?
Answer: the first one
Step-by-step explanation: can i have brainlieist
Write in if/Then form: A shape has 4 congruent sides, if it is a rhombus.
Answer: If a shape has 4 congruent sides, then it is a rhombus.
Step-by-step explanation: I just added the words in the appropriate places.
What is 57,020,000 expressed in scientific notation
Answer:
[tex]57,020,000 = 5.702\cdot10^7[/tex]