A middle school principal is signing the diplomas of the school's graduating eighth graders. She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per second.
Write an equation that shows how the total number of diplomas signed, y, depends on the number of seconds the principal spends signing them, x.
y=
Answers
An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Related Questions
Write the equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.
y = 2x^2 + 2
Answers
Step-by-step explanation:
y-2=2(x-0)^2
Vertex: (0,2)
Axis of Symmetry is x=0
Opens upward
Hope that helps :)
What is the value of the expression? Do not use a calculator.
tan
Tan2pie/3
Answers
The value of tan 2π/3 without calculator is -√3.
What is the value of tan 2π / 3 without calculator?The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;
the value of π = 180 degrees
So we can replace the value of π in the function with 180 degrees as follows;
tan ( 2π / 3) = tan (2 x 180 / 3)
tan (2 x 180 / 3) = tan (2 x 60)
tan (2 x 60) = tan (120)
tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.
tan (120) = - tan (180 - 120)
= - tan (60)
= -√3
Learn more about trig identities here: https://brainly.com/question/7331447
#SPJ1
Need help!!!!!!!!!!!!!!!!
Answers
Answer:
x=35
y=72.5
Step-by-step explanation:
Answer:
x=35 , y=72.5
Step-by-step explanation:
I'm not amazing at explaining but x is obviously 35 as its across from it and looks like it's the same angle, we'll be able to test this when we figure out y. Both of the y values are the same number so you just need to figure out
2y + 35 = 180
Minus 35 from both sides
2y = 145
Then we can divide 2 from both sides
y = 72.5
Then we test for x
2y + x = 180
Plug in y
145 + x = 180
Minus 145 from both sides
x= 35
There's your answer! I hope I cleared up any confusion
For n = 10 and 1 = 0.59, what is P(X = 8)?
P(X = 8) =
(Round to four decimal places as needed.)
Answers
nCx⋅px⋅(1−p)n−x
llllllllllllllllllllllllllllllllllllll
Find the common denominator 2/7 and 7/10
Answers
Answer:
70
Step-by-step explanation:
Finding the common denominator is really just finding the gcf of 7 and 10. The gcf of 7 and 10 is 70. So the common denominator is 70.
Have to find x and y . Please help!
Answers
Answer:
Step-by-step explanation:
x can be anything so let’s use 0, 1, 2, and 3 for x values
to find the y values, we just plug in the x values into the equation
when x = 0
y = 5/4(0) -2
y = 0 -2
y = -2
(0, -2) (x = 0, y = -2)
when x = 1
y = 5/4(1) -2
y = 5/4 -2
y = 5/4 -8/4
y = -3/4
(1, -3/4) (x = 1, y = -3/4)
when x = 2
y = 5/4(2) -2
y = 10/4 -2
y = 5/2 -4/2
y = 1/2
(2, 1/2) (x = 2, y = 1/2)
when x = 3
y = 5/4(3) -2
y = 15/4 -2
y = 15/4 -8/4
y = 7/4
(3, 7/4) (x = 3, y = 7/4)
Answer:
Table shown below
Step-by-step explanation:
Table of Values
We are given the function:
\(\displaystyle y=\frac{5}{4}x-2\)
And it's required to fill the table of values for x and y with the condition that there are only integers.
Given the expression has a denominator of 4, to ensure there are no decimals in the results, we select values of x that are multiple of 4.
Select the values: {-4,0,4,8}
Now calculate the corresponding values of y.
x=-4
\(\displaystyle y=\frac{5}{4}(-4)-2=-5-2=-7\)
y=-7
x=0
\(\displaystyle y=\frac{5}{4}(0)-2=0-2=-2\)
y=-2
x=4
\(\displaystyle y=\frac{5}{4}(4)-2=5-2=3\)
y=3
x=8
\(\displaystyle y=\frac{5}{4}(8)-2=10-2=6\)
y=8
The filled table is shown in the attached image
Please help asap …Write an equation of the line below
Answers
Answer: y-intercept = y= -1/2x, point-slope = (y-4)=-1/2(x+8)
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!!
Answers
The geometric sequence will be greater than the arithmetic sequence at the 8th term
How to determine when the geometric sequence will be greater than the arithmetic sequence?Geometric sequence
Here, we have
First term, a = 3
Common ratio, r = 3 i.e. 9/3 = 3
So, the n-th term of the geometric sequence is
G(n) = 3 * 3^n-1
Arithmetic sequence
Here, we have
First term, a = 300
Common difference, d = 500 i.e. 800 - 300 = 500
So, the n-th term of the arithmetic sequence is
A(n) = 300 + 500(n - 1)
When G(n) is greater than A(n), we have:
3 * 3^n-1 > 300 + 500(n - 1)
This gives
3^n > 300 + 500(n - 1)
Using a graphing calculator, we have:
n > 7.4
The next integer value of n is
n = 8
Hence, the geometric sequence will be greater than the arithmetic sequence at the 8th term
Read more about sequence at:
https://brainly.com/question/7882626
#SPJ1
The volume of a sphere is 4500cm. What is the surface area of the sphere to the nearest whole number?
Answers
The surface area of the sphere, to the nearest whole number, is 1318 cm².
How to determine the surface area of a sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
The surface area of a sphere is expressed as:
SA = 4πr²
Where r is the radius of the sphere and π is the mathematical constant pi.
Given that the volume V is 4500 cm³.
First, we solve for the radius:
Volume = (4/3)πr³
4500 = (4/3)πr³
4500 × 3 = 4πr³
13500 = 4πr³
r³ = 13500/4π
r = ∛( 13500/4π )
Now that we have the radius, we can calculate the surface area of the sphere using the formula:
SA = 4πr²
Substituting the radius we found:
SA = 4 × π × ∛( 13500/4π )²
SA = 1318 cm²
Therefore, the surface area is approximately 1318 cm².
Learn more about volume of hemisphere here: brainly.com/question/22886594
#SPJ1
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
More can be learned about the Pythagorean Theorem at brainly.com/question/30203256
#SPJ1
Trudie is playing a game with identical-sized colored sticks. She has a container with a total of 10 red, 12 green, 19 blue, and 9 yellow sticks.
If Trudie picks a stick without looking, what is the probability the stick will be green?
A 12%
B 24%
C 76%
D 88%
Answers
Answer:
B. 24%
Step-by-step explanation:
Filling the character requirement lol
Answer:
b
Step-by-step explanation:
it gies in and out the equation
Can someone help with 2x + 2 ≥ 3x - 12
Answers
x < 14
-
the quotient of 8 and the sum of a number w and 10
Answers
Step-by-step explanation:
8 ÷ (w+10)
when you are quotient think divide.
Please help solve
-5<14-4x≤3
Answers
Answer:
Interval notation (-5,3]
Interactive Practice: Understand Statistical Questions and Data Distributions
Each day for three weeks, Isaias records the number of eggs his chickens lay. The frequency table
shows his data.
Which statement describes the data distribution?
The frequency increases as the number
of eggs increases.
The value with the greatest frequency is
6 eggs.
The range is 8 eggs.
The distribution is spread from 2 eggs to
7 eggs.
Number of Eggs
4
5
6
7
8
||||
11
Y
X
Answers
Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.
These questions typically ask about a population or group of individuals and are often related to trends or patterns.
Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.
To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.
This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.
To learn more about : statistics
https://brainly.com/question/15525560
#SPJ11
A coin is tossed and a six-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling anumber greater than 5.The probability of tossing a head and then rolling a number greater than 5 is(Round to three decimal places as needed.)
Answers
A coin is tossed and a six-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a
number greater than 5.
The probability of tossing a head and then rolling a number greater than 5 is
(Round to three decimal places as needed.)
step 1
we have that
the probability of tossing a head is equal to
P=1/2
step 2
The probability of rolling a number greater than 5
we have
total cases=6
possible values greater than 5=1
so
P=1/6
step 3
The probability of tossing a head and then rolling a number greater than 5 is
P=(1/2)*(1/6)
P=1/12
P=0.083Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
From 2014-2015 to 2024-2025, the number of students enrolled in an associate degree program is projected to increase by 21.5%. If the enrollment in associate degree programs in 2014-2015 is 6,500,000 , find the increase and the projected number of students in an associate degree program in 2024-2025.
Answers
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
5(2x1) + 2 = 5(2x + 3) - 18
Answers
Answer:
No solution
Step-by-step explanation:
X= 15/10
Simplified it is 3/2
Hope this helps! :)
Tamika has a spinner with 5 equal sections – red, blue, green, yellow, and purple. She plans to spin it 150 times. Predict how many times she should expect the pointer to land on either green or yellow.
Answers
Probability helps us to know the chances of an event occurring. The number of times Tamika should expect the spinner to land on green or yellow is 60.
What is Probability?
Probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
Total number of sections on the spinner = 5
Number of sections with green or yellow sections = 2
Number of trials = 150
Now, the number of times Tamika should expect the spinner to land on green or yellow is,
Expected Number of lands on green or yellow = 150 × (2/5) = 60
Hence, the number of times Tamika should expect the spinner to land on green or yellow is 60.
Learn more about Probability:
https://brainly.com/question/795909
#SPJ1
Fill the blanks using Product formula.
Answers
Answer: (-4s-1)*(-8) + (-4)*(-8s+7)
You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.
What is -9 as a fraction?
Answers
Answer:
\(-\frac{9}{1}\)
Step-by-step explanation:
Its just the same way as making positive 9
a fraction, but just add the negative sign.
Hope this helps :))
Denominator is 3 more than numerator. If both are increased by 2, the result is 2/3.
Eqn 1:
Eqn 2:
Answers
Answer:
Step-by-step explanation:
let numerator=x
denominator=x+3
again
\(\frac{x+2}{x+3+2} =\frac{2}{3} \\3(x+2)=2(x+5)\\3x+6=2x+10\\3x-2x=10-6\\x=?\)
x=4
number is
\(\frac{4}{4+3} \\=\frac{4}{7}\)
if you guys can make it out can you help me find the length of the small right triangle? sorry its really bad drawn
Answers
Answer:
32.0
Step-by-step explanation:
i really can't explain it but comment if need more help
and can u take better picture
What is the smallest positive integer $n$ such that $\sqrt[4]{56 \cdot n}$ is an integer?
Answers
The smallest positive integer n such that t \($\sqrt[4]{56 \cdot n}$\) is an integer is 686.
We have to find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer
To find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer, we need to determine the factors of 56 and find the smallest value of n that, when multiplied by 56, results in a perfect fourth power.
The prime factorization of 56 is:
56 = 2³ × 7
The prime factors of 56 need to be raised to multiples of 4.
Therefore, we need to determine the smallest value of n that includes additional factors of 2 and 7.
To make the expression a perfect fourth power, we need to raise 2 and 7 to the power of 4, which is 2⁴ × 7⁴
The smallest value of n that satisfies this condition is:
n = 2 × 7³ = 2× 343 = 686
To learn more on Integers click:
https://brainly.com/question/490943
#SPJ1
What’s is the circumference of a circle of 12mm
Answers
Answer:
r ≈ 1.91mm
Step-by-step explanation:
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
Answers
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
for such more question on system of equations
https://brainly.com/question/4262258
#SPJ8
3x + 5 = x - 3
Due today (in 10 minutes)
Answers
Answer:
I hope that helps!
x = -4
I NEED HELP FAST
Hawaiian monk seals dives to a dept of -4.13 meters. By how many meters does it need to change his position to get back to sea level?
Answers
Answer:
45
Step-by-step explanation: