Answers
Answer:
48cm^2
Step-by-step explanation:
We are given some of the measurements of the piece of cardboard.
First, let's find the lengths of all the sides of the cardboard, as it will be easier to then find the area.
Going in clockwise order, from top to bottom, the dimensions are:
4cm, 7cm, 6cm, 2cm, 10cm, 9cm.
Now, we can easily find the area by using the formula BH=Area. Let's split the cardboard into sections that will be easier to find the area of. Say we split it in two, rather like a sneaker with the person wearing a sock showing at the ankle (I have strange explanations, I know).
To find the top part (the sock part) we can multiply 4 by 7 to get 28.
To find the shoe part, we can multiply 10 by 2 to get 20.
Finally, add these areas together to get the total area.
20 + 28 = 48
Another way to do this (if my sock and sneaker explanation was too chaotic for you) would be to imagine that the cardboard piece were an entire rectangle (ignore that chunk that has been cut out).
The area of that would be 90, from 9 by 10 as the side lengths. Then, from earlier, we know that the width and length of the chunk that has been cut out is 6 and 7, so the area that will be cut out is 42.
Subtract 42 from 90 to get 48.
Related Questions
All of the following are equivalent to 3:8 = x : 32 except
8 : 3 = 32 : x
3 : x = 8 : 32
x : 8 = 3 : 32
8 : 32 = 3 : x
Answers
Answer:
8:3=32:x
Hope thos helps you
what is (3²-2³)⁶⁶ total
Answers
Answer:
1
Step-by-step explanation:
(3²-2³)⁶⁶ = (9 - 8)⁶⁶ = (1)⁶⁶ = 1
(3²-2³)⁶⁶ total is 1
To evaluate (3²-2³)⁶⁶, we will first simplify the expression we have in the bracket before carrying out the power operation
From (3²-2³)⁶⁶
(3²-2³) can be simplified as shown below
3² = 3 × 3 = 9
and
2³ = 2 × 2 × 2 = 8
∴ (3²-2³) = (9 - 8) = (1)
∴ (3²-2³)⁶⁶ becomes (1)⁶⁶
(1)⁶⁶ = 1
(NOTE: 1 raised to any power is 1)
Hence, (3²-2³)⁶⁶ total is 1
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A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?
Let h represent the hours traveled.
Let m represent the miles traveled.
m = 45h
h = 45m
m = 45 + h
h = 45 – m
Answers
The answer would be A. m = 45h
Hope this helps
Answer:
m=45h
Step-by-step explanation:
The independent variable here is h, the number of hours it traveled, and this determines m.
The domain of f(x) is the set os all real numbers greater than or equal to 0 and less than or equal to 2. True of false
Answers
Answer:
True
Step-by-step explanation:
In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
Diagram of how a function relates two relations.
Figure 2
We can visualize the domain as a “holding area” that contains “raw materials” for a “function machine” and the range as another “holding area” for the machine’s products.
We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. For example, if a person has $100 to spend, he or she would need to express the interval that is more than 0 and less than or equal to 100 and write
(
0
,
1
0
0
]
(0, 100]. We will discuss interval notation in greater detail later.
Let’s turn our attention to finding the domain of a function whose equation is provided. Oftentimes, finding the domain of such functions involves remembering three different forms. First, if the function has no denominator or an even root, consider whether the domain could be all real numbers. Second, if there is a denominator in the function’s equation, exclude values in the domain that force the denominator to be zero. Third, if there is an even root, consider excluding values that would make the radicand negative.
Before we begin, let us review the conventions of interval notation:
The smallest term from the interval is written first.
The largest term in the interval is written second, following a comma.
Parentheses, ( or ), are used to signify that an endpoint is not included, called exclusive.
Brackets, [ or ], are used to indicate that an endpoint is included, called inclusive.
The table below gives a summary of interval notation.
Summary of interval notation. Row 1, Inequality: x is greater than a. Interval notation: open parenthesis, a, infinity, close parenthesis. Row 2, Inequality: x is less than a. Interval notation: open parenthesis, negative infinity, a, close parenthesis. Row 3, Inequality x is greater than or equal to a. Interval notation: open bracket, a, infinity, close parenthesis. Row 4, Inequality: x less than or equal to a. Interval notation: open parenthesis, negative infinity, a, close bracket. Row 5, Inequality: a is less than x is less than b. Interval notation: open parenthesis, a, b, close parenthesis. Row 6, Inequality: a is less than or equal to x is less than b. Interval notation: Open bracket, a, b, close parenthesis. Row 7, Inequality: a is less than x is less than or equal to b. Interval notation: Open parenthesis, a, b, close bracket. Row 8, Inequality: a, less than or equal to x is less than or equal to b. Interval notation: open bracket, a, b, close bracket.
A company is designing a new cylindrical water bottle. The volume of the bottle will be 149 cmcubed. The height of the water bottle is 8.7 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answers
Answer:
2.33
Step-by-step explanation:
If you put the numbers into the radius formula you should end up with this number hope this helps:)
A deck of cards contains RED cards numbered 1,2,3,4,5, BLUE cards numbered 1,2,3, and GREEN cards numbered 1,2,3,4,5,6. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number? Provide the final answer as a fraction.
Answers
Answer:
8/15
Step-by-step explanation:
15 options and 8 odd numbers
Answer: 9/14
Step-by-step explanation:
There are 3 blue cards, 3 odd numbered red cards, and 3 odd numbered green cards. 3 + 3 + 3 = 9
Red - R1, R2, R3, R4, R5
Blue - B1, B2, B3
Green - G1, G2, G3, G4, G5, G6
= A total of 14 cards
Answer = 9/14
(This answer is verified and was the correct answer in the program)
HURRY, I'M BEING TIMED ON STUDY ISLAND! On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 3 p.m., they had sold 110 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
Answers
Answer:
I say the inequality with the greater than or equal
Step-by-step explanation:
They want to reach there goal so it’s more or equal to
The vertex form of a quadratic function is f(x) = a(x - h)2 + k. What is the vertex of each function? Match the function rule with the coordinates of its vertex.
Answers
Answer:
For [tex]f(x)=6(x-5)^2-9[/tex] the vertex is: (5, -9)
For [tex]f(x)=9(x+5)^2-6[/tex] the vertex is: (-5, -6)
For [tex]f(x)=5(x-6)^2+9[/tex] the vertex is: (6, 9)
For [tex]f(x)=6(x+9)^2-5[/tex] the vertex is: (-9, -5)
For [tex]f(x)=9(x-5)^2+6[/tex] the vertex is: (5, 6)
Step-by-step explanation:
Let's identify the vertex pair [tex](x_v,y_v)[/tex] from each equation:
A) [tex]f(x)=6(x-5)^2-9[/tex] corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=-9[/tex] , that is: (5, -9)
B) [tex]f(x)=9(x+5)^2-6[/tex] corresponds to [tex]x_v=-5\,\,\,and\,\,\,y_v=-6[/tex] , that is: (-5, -6)
C) [tex]f(x)=5(x-6)^2+9[/tex] corresponds to [tex]x_v=6\,\,\,and\,\,\,y_v=9[/tex] , that is: (6, 9)
D) [tex]f(x)=6(x+9)^2-5[/tex] corresponds to [tex]x_v=-9\,\,\,and\,\,\,y_v=-5[/tex] , that is: (-9, -5)
E) [tex]f(x)=9(x-5)^2+6[/tex] corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=6[/tex] , that is: (5, 6)
Brody and his brother Kael enter a race with a total of 30 runners. There will be prizes for the first three runners who cross the finish line. a) What is the probability that Brody finishes the race in the first place? Are your brother's chances of finishing the race in the first place better than Brody's? Justify your answer. b) What is the probability that Brody or Kael finish the race in the first place? c) How many ways can these 30 runners get in first, second, and third place? (NOTE: only part C asks for a permutation)
Answers
Answer:
hmm i think its answer B hope i helped :)
Step-by-step explanation:
Which expression is equivalent to
Answers
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
PLEASE HELP 1) A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter
months. When spring arrives, the warm air gradually melts the ice, causing its thickness to
decrease at a constant rate modeled by h(t) = 2 - 0.25t, where h(t) represents the thickness of
the sheet of ice and t represents the time in weeks.
a. What is the initial value of this function?
b. What is the rate at which the ice sheet is melting?
c. How thick will the ice sheet be after 3 weeks?
Answers
Answer:
a). 2 meters
b). 0.25 meters per week
c). 1.25 meters
Step-by-step explanation:
Thickness of the ice sheet on the lake = 2 meters
Thickness decreases with a constant rate and thickness is modeled by the function,
h(t) = 2 - 0.25t [t = time or duration in weeks]
a). Initial value of this function will be it's y-intercept,
h(t) = 2 meters
b). Rate of the melting of this sheet (slope of the line) = 0.25 meter per week
c). After 3 weeks or t = 3 weeks,
h(3) = 2 - 0.25 × (3)
= 2 - 0.75
= 1.25 meters
Carlo changed 800 euros into dollars for his holiday when the exchange rate was €1=$1.50. his holiday was cancelled he changed all his dollar back into euros and he received €750. find the new exchange rate
Answers
Answer:
€800 = $1200
New exchange rate =
750/1200 = 1.6
Which expression is equivalent to 4(n + 5)?
Answers
Answer:
4n+20
Step-by-step explanation:
A house is purchased at a selling price of $285,000. The bank requires a 15% down payment. The current mortgage rate is 3.5%. Determine the amount to be financed.
Answers
Answer:
[tex]\large \boxed{\$242250}}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcr}\text{Selling price} & = & \$285000 \\-\text{Down payment} & = &-0.15 \times \$285000 =\qquad -42750\\\text{To be financed}& = & \mathbf{\$242250}\\\end{array}\\\text{The amount to be financed is $\large \boxed{\mathbf{\$242250}}$}[/tex]
Look at the picture below. Urgent help please!!!!
Answers
Look at the image and I’ll be glad to explain more.
Answer:
x≅11.49 or x=2√33
Step-by-step explanation:
8^2+x^2=14^2
64+x^2=196
(subtract 64 from both sides)
x^2=132
(square root both sides)
x≅11.49
Mrs. Le has 40 markers for her art class. 20% of the markers are red. How many markers are red?
Answers
20%=0.2
40x0.2=8
Sorry wrong question delete this awnser
2. (08.01) Two lines, R and M, are represented by the following equations: Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true about the solution to the set of equations? (4 points) It is (18, 9). It is (9, 18). There are infinitely many solutions. There is no solution.
WILL GIVE BRAINLIEST
Answers
Answer:
infinitely many solutions
Step-by-step explanation:
Given the 2 equations
2x + 2y = 18 → (1)
x + y = 9 → (2)
Equation (1) is twice (2)
Thus the equations are equal and will have infinite solutions
All identities are equations, and all equations are identities.
A. True
B. False
Answers
this is false not all equations and all equations are identities are same
The letters of the word S U M M E R were placed in a bag. What is the probability of choosing an R?
3:6
5/6
33.3%
0.16
I'm asking it again cause I got an answer that had nothing in it!
Answers
Answer:
The answer is 3:6 for above probability
In order to solve 439-165 would I need to regroup to solve? If yes in what place? Why?
Yes, you need to regroup in the ________place because
______________________.
Answers
Answer:
Yes you would need to regroup in the tens place because 3 is less than 6.
Answer:
Yes you would need to regroup in the tens place because 3 is less than 6.
Have a great day
Please help me I need this answer very bad (Picture Attached)
Answers
Answer:
median 2nd was the answer
Step-by-step explanation:
a metal pole was placed in the ground and stands 30 feet high. two strands of lights were strung down from the top of the pole, forming a 46 degree angle to the ground. which theorem would be used to prove that the two strands of lights are equal in length?
SSS
AAS
ASA
SAS
Answers
Answer:
AAS
Step-by-step explanation:
angle 46 degree rt.angle made by pole to the ground common side formed by the pole
Hope this helps!
If 1/5^-(2x-1)=3125 find x
Answers
Answer:
x =-2
Step-by-step explanation:
1/5^(2x - 1) =3125
5^-2x +1 =5^5
1-2x =5
-2x =5-1
-2x =4
X =4/-2
x =-2
Answer:
1/5^-(2x-1) = 3125
Write them in positive exponent form
We get
5^(2x-1) = 3125
5^(2x -1) = 5^5
2x - 1 = 5
2x = 5+1
2x = 6
x = 3
Hope this helps.
When the determinant of the coefficient matrix of a system of equations does not equal zero, the system has _________ solution(s)?
Answers
Answer:
one solution
Step-by-step explanation:
it means when the denominator does not equal zero
help someone please
Answers
Answer:
C) [tex]1\frac{6}{100}[/tex]
Step-by-step explanation:
Hope this helps!
Which calculator correctly shows the quotient 6.47x10^-15/3.36x10^-29
Answers
1.92559524e+14
Step-by-step explanation:
6.47 x 10^-15 and 3.36 x 10^-29 are written in scientific notation. In this way, we have a quotient of two numbers written in scientific notation. To solve this problem, we have:
6.47/3.36 x 10^{[-15-(-29)]}=1.92559524 x 10^{(-15+29)}
Therefore 1.92559524 x 10^{14} or 1.92559524e+14
1.92559254e+ 14 is the correct value of the given expression.
What are mathematical operations?
The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
given a number 6.47x10^-15/3.36x10^-29
Solving this given number using PEMDAS
=> 6.47x10^-15/3.36x10^-29
=> (6.47 * 10⁻¹⁵) / (3.36 * 10⁻²⁹)
=> (6.47 / 3.36) * 10⁻¹⁵ ⁺ ²⁹
=> 1.92559254 * 10¹⁴
in Scientific notation:
=> 1.92559254e+ 14
therefore, the correct value of the given expression is 1.92559254e+ 14.
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Determine the root of the equation
f(x) = e2x- x-6 closet to the point 0.95
Leave
your answer to five decimal places
Answers
Answer:
0.97087
Step-by-step explanation:
Given the function:
[tex]f(x) = e^{2x} - x - 6[/tex]
Its first derivative is:
[tex]f'(x) = 2e^{2x} - 1[/tex]
Using Newton's method:
[tex]x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}[/tex]
and starting with the point:
[tex]x_1 = 0.95[/tex]
we get:
[tex]f(x_1) = e^{2(0.95)} - 0.95 - 6 = -0.26410[/tex]
[tex]f'(x_1) = 2e^{2(0.95)} - 1 = 12.37178[/tex]
[tex]x_2 = x_1 - \frac{f(x_1)}{f'(x_1} = 0.95 - \frac{-0.26410}{12.37178} = 0.97134[/tex]
[tex]f(x_2) = e^{2(0.97134)}- 0.97134 - 6 = 0.00608[/tex]
[tex]f'(x_2) = 2e^{2(0.97134)} - 1 = 12.95485[/tex]
[tex]x_3 = 0.97134 - \frac{0.00608}{12.95485} = 0.97087[/tex]
[tex]f(x_3) = e^{2(0.97087)} - 0.97087 - 6 = -2.6240413 \cdot 10^{-7}[/tex]
In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°
Answers
Answer:
99 degrees
Step-by-step explanation:
measure angle RST= measure angle RSU+ measure angle UST
measure angle RST=81+18
measure angle RST=99 degrees
The measure angle RST is 99 degrees.
To find measure angle RST.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given that:
SU is angle bisector of <RST. So it can divide into 2 parts.
Measure angle RST= measure angle RSU+ measure angle UST
Measure angle RST=81+18
Measure angle RST=99 degrees
So, the measure angle RST is 99 degrees.
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Wich is the result of 23*1/5?
Answers
Answer:
The answer is [tex]\frac{23}{5}[/tex] or [tex]4.6[/tex] .
Step-by-step explanation:
Solve the following equation:
[tex]23 \times \frac{1}{5}[/tex]
-Multiply [tex]23[/tex] and [tex]\frac{1}{5}[/tex] to get
[tex]23 \times \frac{1}{5} = \frac{23}{5} = 4.6[/tex]
So, now you have found the answer.
Answer:
23/5 as an improper fraction or 4 3/5 as a mixed number
or 4.6 as a decimal or 460% as a percent
Step-by-step explanation:
What I did: 23/1 * 1/5
For this, you just multiply numerators and denominators, getting 23/5 as your answer.
Then I simplified that fraction to get 4 and 3/5 as a mixed number. There's a number of ways you can do this, but I just knew 23 goes into 5, 4 times and added the remaining into the fraction.
For the decimal I knew 4 is just 4 as a whole number and i calculated 3/5 as .6 or 60 percent.
For the percent I just removed the decimal, or in other words, shifted the decimal 2 times to the right.
Which of the following are mathematical sentences? Check all that apply.
A. 5- V
B. 2 <3
c. 4 + 3 = 7
D. G
E. 7
F. 5-d = 9
Need help
Answers
C and F
....................
Answer:
B. 2 <3 and C. 4 + 3 = 7 and F. 5-d = 9