Answer & Step-by-step explanation:
In the problem, we are given an equation. h(t) = -20 + 11t
In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.
t = 11
h(11) = -20 + 11(11)
h(11) = -20 + 121
h(11) = 101
So, h(11) is equal to 101
Answer:
101
Step-by-step explanation:
h(t)= -20+11t
h(11)= -20+11(11)
h(11)= -20+121
h(11) = 101
find the sum. 4 (4k 3) k = 1
To begin with, let's first understand what a series is. In mathematics, a series is a sum of numbers that follow a certain pattern. In this case, we have been given a series that follows the pattern of 4(4k + 3), where k is the variable that takes on different values.
Now, to find the sum of the series when k = 1, we need to plug in this value of k into the expression 4(4k + 3) and evaluate the result. So, when k = 1, we have:
4(4(1) + 3) = 4(4 + 3) = 4(7) = 28
This gives us the result of the expression when k = 1, which is 28. Therefore, the sum of the series 4(4k + 3) when k = 1 is 28.
But how do we know that this is the correct answer? To verify this, we can calculate the sum of the series manually by adding up the terms of the series for different values of k.
The given series is 4(4k + 3), so the first few terms of the series for k = 1, 2, 3, and 4 are:
k = 1: 4(4(1) + 3) = 28
k = 2: 4(4(2) + 3) = 44
k = 3: 4(4(3) + 3) = 60
k = 4: 4(4(4) + 3) = 76
If we add up these terms, we get:
28 + 44 + 60 + 76 = 208
This gives us the sum of the series for the first four terms. However, we only need to find the sum of the series when k = 1, which we already calculated to be 28.
Therefore, we can conclude that the answer we found earlier, 28, is indeed the correct sum of the series 4(4k + 3) when k = 1.
Learn more about the sum of the series :
https://brainly.com/question/4617980
#SPJ11
1. A service station charges anons
aqsinstallation fee of $84 and a set price
for each new tire. They charge a
total of $791 for four new tires and
installation.
Part A
Let t represent the price of one tire.
Write an equation that represents the
situation.
Part B
What is the price, in dollars, of one
tire?
Part A:
Let's start by setting up the equation. We know that the service station charges an installation fee of $84 and a set price for each new tire. If t represents the price of one tire, then the total cost of four tires and installation can be expressed as:
4t + 84 = 791
Part B:
Now we can solve for t to find the price of one tire:
4t + 84 = 791
4t = 707
t = 176.75
Therefore, the price of one tire is $176.75.
Solve |3x + 1| + 6 < 2.
Answer:
|3x + 1| + 6 < 2
|3x+1| < -4
Absolute value cannot be less than 0
No Solution for x in real numbers
Step-by-step explanation:
1. If R = 32 - 11 (OC+2y). then find R when: x=2 and y=4
The correct equation says to find R = 32 - 11 (X+2y). This gives us the value of -78.
How to solve for the equation belowWe have this
R = 32 - 11 (X+2y)
we have the following values for x and y as 2 and 4 respectively.
What we have to do would be to find the value of R after we have put in these values in the equation.
To do this, we would then have:
R = 32 - 11(2 + 2*4)
R = 32 -11(2+8)
R = 32 - 11 * 10
R = 32 - 110
This would give us the value that says
R = -78
Hence the value of R is given as -78
Read more on equations below:
https://brainly.com/question/2972832
#SPJ1
Determine if Line AB and Line CD ac parallel, perpendicular or
neither.
A(9,-3), B(9, 4), C(-2, 10), D(-2, 6)
Line AB and Line CD are neither parallel nor perpendicular, but are parallel to the y-axis
To determine if two lines are parallel, perpendicular, or neither, we need to find the slopes of both lines.
The formula for finding the slope of a line is (y2 - y1) / (x2 - x1). If the slopes of the two lines are equal, then they are parallel. If the slopes are negative reciprocals of each other, then they are perpendicular.
If neither of these conditions are met, then the lines are neither parallel nor perpendicular.
For Line AB:
Slope = (4 - (-3)) / (9 - 9)
Slope = undefined
Since the denominator is zero, the slope is undefined for Line AB. This means that Line AB is a vertical line.
For Line CD:
Slope = (6 - 10) / (-2 - (-2))
Slope = -4 / 0
Slope = undefined
Similarly, the slope for Line CD is undefined, meaning that it is also a vertical line.
Since both lines are vertical, they are neither parallel nor perpendicular.
However, we can also notice that the x-coordinates for both points A and B are the same, and the x-coordinates for both points C and D are the same. This means that Line AB and Line CD are parallel to the y-axis.
Therefore, the summary is that Line AB and Line CD are neither parallel nor perpendicular, but are parallel to the y-axis.
Learn more about slopes click here:
https://brainly.com/question/16949303
#SPJ11
How many department stores have fewer than 60 pairs of boots?
Answer:
The answer is below
Step-by-step explanation:
The question is not correct, the correct question is:
The regional manager of a chain of department stores created the following stem-and-leaf plot showing the number of pairs of boots at each of the stores:
I 0 I
I 1 I 7 8
I 2 I 0 5 8
I 3 I 4 4 7 8
I 4 I 0
I 5 I
I 6 I
How many department stores have more than 60 pairs of boots
Answer:
The stem and leaf plot is a table which is used to represent a value with the first and other digit as the stem while the last digit is the leaf.
From the table attached, the first column is the stem and the remaining column are the leafs. Therefore from the table, below are the pairs of boots in different stores:
17, 18, 20, 25, 28, 34, 34, 37, 38 and 40.
All the store have fewer than 60 boots. This means that the number of stores with more than 60 pairs of boots is 0
I NEED HELP ASAP!!!!! :0 Graph the solution set for the inequality
y > 2x-5 by following these steps:
Step 1: Identify the slope and y-intercept.
slope = y-intercept =
-2 2
2 -5
5 5
Answer:
2 -5
Step-by-step explanation:
The slope and y-intercept are 2 and -5 after comparing them with the standard equation.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The inequality is y > 2x-5
The above inequality represents the linear graph
After drawing on the graph:
On comparing:
y = mx + c
The slope m = 2
The y-intercept c = -5
Thus, the slope and y-intercept are 2 and -5 after comparing them with the standard equation.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
HELP IM BEING TIEMEEEEEEEEEEEEEEEEED
Answer:
-2
Step-by-step explanation:
The cost of tea varies directly with the
mass. Liz bought 4.5 kg of tea for $10.35.
What is the constant of variation?
Answer: $27.6 is the constant of variation.
I hope this helped!
soy ell idredle a admana gua uag uga jjejeje
I'm doing my missing assignments, help me solve this please, and don't report me because it's not a test
Answer:
14.4 solved by doing 24(3/5)
Step-by-step explanation:
a ratio can be seen as division
3:5 = 3/5
Answer:
14.4
Step-by-step explanation:
As mentioned in the comments (24/5)*3 =
4.8 * 3 = 12 + 2.4 = 14.4
Another way:
24/5 = x/3
72 = 5x
x = 14 2/5 = 14.4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
5×65= 9 is this correct
For this problem we have the following expression given:
\(5\cdot65=9\)And we can conclude that it's incorrect since:
\(5\cdot65=325\)And 325 is not equal to 9
Question 1: Peter has 32 marbles in a bag. 15 of them are white. What is the probability Peter will pick a white marble from the bag without looking?
Question 2: A coin was flipped 100 times with 53 tails recorded. What is the experimental probability of flipping tails with this coin? Give your answer in fully simplified form.
Question 3: Charlie watched cars drive past his house over five minutes. In this time 14 cars went by, and 7 of those cars were white. What is the experimental probability of a car being colored white?
Answer:
1. 15/32 2. 53/100. 3. 7/14 or 1/2
6. The following data set gives the amount of time,
in minutes, it took five people to cook a recipe.
What is the mean absolute deviation for the data?
33, 38, 31, 36, 37
Answer:
Step-by-step explanation:
To find the mean absolute deviation for a data set, we first need to find the mean (average) of the data set.
Mean = (33 + 38 + 31 + 36 + 37) / 5 = 35
Next, we find the absolute deviation for each data point by subtracting the mean from the value and taking the absolute value:
|33 - 35| = 2
|38 - 35| = 3
|31 - 35| = 4
|36 - 35| = 1
|37 - 35| = 2
Then we find the mean of these absolute deviations:
(2 + 3 + 4 + 1 + 2) / 5 = 12 / 5 = 2.4
Therefore, the mean absolute deviation for the data set is 2.4 minutes.
know more about absolute deviation: brainly.com/question/32035745
#SPJ11
three circles are drawn, so that each circle is externally tangent to the other two circles. each circle has a radius of a triangle is then constructed such that each side of the triangle is tangent to two circles, as shown below. find the perimeter of the triangle.
To find the perimeter of triangle formed by the tangents to the circles, find radii of circles and side lengths of triangle. The perimeter of triangle formed by the tangents to the circles is 12 times the radius of each circle.
Let's denote the radius of each circle as r. Since the circles are externally tangent to each other, the distance between their centers is equal to the sum of their radii, which is 2r.
When a triangle is formed by connecting the points of tangency on each circle, it creates three isosceles triangles. Each of these isosceles triangles has two congruent sides, which are the radii of the circles.By drawing the triangle, we can observe that the base of each isosceles triangle is equal to 2r, which corresponds to the diameter of one of the circles. The height of each isosceles triangle is equal to r, which is the radius of the circle.
Therefore, each side of the triangle formed by the tangents has a length of 4r.Since the triangle has three equal sides, its perimeter is given by 3 times the length of one side, which is 3 * 4r = 12r.The perimeter of the triangle formed by the tangents to the circles is 12 times the radius of each circle.
To learn more about tangents click here : brainly.com/question/10053881
#SPJ11
Clark Kent is paid $0.45 for each person he helps. What is his pay for a day in which he saved 134
people?
Answer:
$60.30
Step-by-step explanation:
0.45 x 134 = $60.30
A flower-delivery service charges $39.95 per flower arrangement and $2.99 for delivery. The total cost y is represented by the function y=39.95x+2.99 , where x is the number of flower arrangements.
Which of the following sets of numbers would be appropriate input values for the given situation? Select all that apply.
A) Integer
B) Only Zero
C) Whole Number
D) Rational Number
E) Positive Integer
F) Negative Number
la suma de los primeros n enteros positivos es un numero de tres digitos iguales. cual es la suma de los digitos de n?
The sum of n natural numbers is three digits number and all digits are the same. The same digits is 6 and the sum is 666.
A three-digit number with the same digits is the sum of n natural numbers.
Let's say the sum of n natural numbers is bbb.
Then,
n( n + 1) / 2 = bbb
n( n + 1) / 2 = b( 111 )
n( n + 1) / 2 = b ( 3 × 37 )
n( n + 1) = 6b × 37
Now, the left-hand side of the equation is the product of two consecutive natural numbers.
Therefore, the right-hand side of the equation is also the product of two consecutive natural numbers.
Hence, 6b = 36
b = 36/ 6
b = 6 and n = 36
As a result, 36 numbers have been added together, and their total is 666.
Learn more about natural numbers here:
https://brainly.com/question/2228445
i have to submit this in an hour plz do this asap,the document is attached plz download it and answer it
Answer:
1. a. Q° = 95°
b. a = 20.3; b = 19.3
2. p = 36; q = 14.4
Step-by-step explanation:
Question 1:
Recall: The Exterior Angle Theorem of a Triangle states that the size of the exterior angle of a triangle equals the sum of the two sizes of the two opposite angles of the triangle.
a. Based on the theorem,
Q° = 41° + 54° = 95°
b.
✔️122° = 4a + 2a (exterior angle theorem)
122 = 6a
Divide both sides by 6
122/6 = a
a = 20.3
✔️122° + 3b = 180° (angles on a straight line)
3b = 180 - 122
3b = 58
b = 58/3
b = 19.3
Question 2:
Recall: Opposite angles of a parallelogram are equal while adjacent/consecutive angles are supplementary.
✔️2p + 3p = 180° (adjacent angles)
5p = 180
p = 180/5
p = 36
✔️2p = 5q (opposite angles)
Plug in the value of p
2(36) = 5q
72 = 5q
72/5 = q
q = 14.4
in a class of 39 student , 25 offer Fante and 19 offer Twi. five student do not offer any of the two languages.
(I) illustrate the above information on the Venn diagram
(ii) how many students offer only Twi
The Venn diagram is given below. Then the number of students who offer only Twi will be 9.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
In a class of 39 students, 25 offer Fante and 19 offer Twi.
Five students do not offer any of the two languages.
The Venn diagram is given below.
The number of students who offer both Fante and Twi will be
⇒ 25 + 19 - (39 - 5)
⇒ 44 - 34
⇒ 10
Then the number of students who offer only Twi will be
⇒ 19 - 10
⇒ 9
More about the sets link is given below.
https://brainly.com/question/8053622
#SPJ1
Can you combine 14x and 14? Why or why not?
The expressions 14x and 14 are not unlike terms. Then the expressions 14x and 14 can not be combined.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expressions are given below.
14x and 14
The expressions can not be combined because the like term is added but the unlink term can not be added.
The expressions 14x and 14 are not unlike terms. Then the expressions 14x and 14 can not be combined.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Help^^^^^^^^^^^^^^************
Answer and Step-by-step explanation:
The answer you chose is correct:
D. 2(5w + 5)
This is equivalent to 10w + 10.
This is because the 2 is a factor of 10, so when distributed out of the 10's, we get 5.
#teamtrees #PAW (Plant And Water)
What is the length of PR?
Can somebody solve this please?
Serial box manufacturer change the size of a box to increase the amount of cereal contains the expressions 10+6.3 n and 7 +6.5n where nis the number of smaller boxes are both representative of the amount of cereal that the new larger box contains how many more boxes equal the same amount of cereal in a larger box
To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.
To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.
Setting the expressions equal to each other:
10 + 6.3n = 7 + 6.5n
Simplifying the equation:
6.3n - 6.5n = 7 - 10
-0.2n = -3
Dividing both sides by -0.2:
n = -3 / -0.2
n = 15
Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.
The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.
To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.
By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.
This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.
Learn more about expressions here:
brainly.com/question/28170201
#SPJ11
You deposit $300 into a savings account that earns interest annually. The function g(x) = 300(1.04)x can be used to find the amount of money in the savings account, g(x), after x years. What is the range of the function in the context of the problem?
ℝ
[0, ∞)
[300, ∞)
[0, 300]
The range of the function g(x) is [300, ∞)
In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.
The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.
We need to find the range of the function.
Since a savings account earns interest annually, x can have take values from 0 to infinity.
For x = 0 year,
g(0) = 300(1.04)^0
g = 300 * 1
g = 300
For x tends to ∞, the value of function would be ∞
Therefore, the range of the function g(x) is [300, ∞)
Learn more about the range here:
https://brainly.com/question/27032480
#SPJ1
Most of the terrain geometry of the classic game Assassin's Creed is composed of what are fundamentally basic geometric shapes with elaborate decoration. True/False
False. Most of the terrain geometry in the classic game Assassin's Creed is not composed of fundamentally basic geometric shapes with elaborate decoration
In the classic game Assassin's Creed, the terrain geometry is typically not composed of basic geometric shapes with elaborate decoration. Instead, it involves complex and detailed 3D models and environments.
The game's environments are known for their rich and immersive world-building, featuring intricate cityscapes, historical landmarks, and varied landscapes.
Assassin's Creed games are renowned for their attention to detail and realistic depiction of historical settings. The geometry is designed to replicate real-world locations, such as cities, villages, forests, and mountains, with accuracy and authenticity.
This involves creating intricate architectural structures, intricate natural landscapes, and diverse terrain features.
Learn more about Assassin's Creed: brainly.com/question/20437525
#SPJ11
notación científica 9.7 x 10⁷ 4.73 x 10⁴7.4 x 10⁴3.18 x 10-¹⁰2 x 10-³5 x 10⁶
Net income was 89400; accounts receivable decreased by 24000; inventory increased by 14400; proceeds from the issuance of long-term debt were 30000
Answer:
Net cash provided by operating activities = $135,800
Step-by-step explanation:
Given:
Net income = 89400
Accounts receivable decreased = 24000
Inventory increased = 14400
Issuance of long-term debt = 30000
Missing data;
Accounts payable decreased = $8,200
Equipment purchases = 100,000
Depreciation and amortization expense = $45,000
Find:
Net cash provided by operating activities
Computation:
Particular Amount
Net Income 89400
Add Amortization 45000
Net income before non cash expenses 134400
Add Decrease in AR 24000
Less Increase in inventory 14400
Less Decrease in AP 8200
Net cash provided by operating activities $135,800
what is a scale factor?
please explainn
Answer:
The number used to multiply the lengths of a figure to make it smaller or larger.
Step-by-step explanation:
You're welcome.
The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. The distance between the Elm and Symphony Stations is how many miles?
Answer:
Distance between 2 stations= 8.94 miles
Step-by-step explanation:
The coordinates of Symphony Station is given by:
Symphony Station: (x₁ , y₁) : (1,2)
The coordinates of Elm station is given by:
Elm Station: (x₂ ,y₂) : (-3,-6)
We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as
d= √((x₂ - x₁)² + (y₂ - y₁) ²)
Substitute values
d= √((-3 - 1)² + (-6 - 2) ²)
d= √((-4)²+(-8)²)
d= √(16+64)
d=√80
d= 8.94 miles
Help Fast. Choose the system of inequalities that best matches the graph below.
Answer:
D
Step-by-step explanation:
Solve through logic and brain rather than lengthy calculations
Trick to be used
See
the red line is solid and that denotes to the fact that the symbol must be ≤ or ≥ .It is parallel to x axis at y=4Rest values of y are less than 4 So y≤4Only option D contains y≤4
Option D is correct