Answer:
44
Step-by-step explanation:
f(x) = 6x-4
Let x=8
f(8) = 6*8 -4
= 48 -4
=44
Answer:
44
Step-by-step explanation:
f(x) = 6x – 4
f(8) = 6(8) – 4
= 48 - 4
= 44
I don’t know this one
Answer:
3077.2
Step-by-step explanation:
A circle's mass is found by
Pie times R^2
7^2 is 49, times 3.14 is 153.86
then you Multiply 153.86 by 20 which gives you 3077.2
Draw a Tree Diagram to determine the number of outcomes for a lunch plate given that you have the choice of one item from each group.
Sandwich -- chicken salad, turkey, or grilled cheese
Side -- chips, french fries, or fruit cup
Drink -- soda or water
A) 8
B) 9
C) 12
D) 18
Answer:
A
Step-by-step explanation:
Answer:
D) 18
Step-by-step explanation:
Using 3.14 for pi, what is the volume, to the nearest tenth, of a cone that has a height of 16 feet and a base with radius
Answer:
what is the radius given?
Step-by-step explanation:
With a height of 16 feet and a base radius of 5 feet, the volume of the cone is approximately 418.67 cubic feet, rounded to the nearest tenth.
To find the volume V of a cone, we use the formula:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
Where:
[tex]- \( \pi \)[/tex] is approximately 3.14
- r is the radius of the base of the cone
- h is the height of the cone
Given that the height h is 16 feet and the radius r is 5 feet, we substitute these values into the formula:
[tex]\[ V = \frac{1}{3} \times 3.14 \times (5)^2 \times 16 \]\[ V = \frac{1}{3} \times 3.14 \times 25 \times 16 \]\[ V = \frac{1}{3} \times 3.14 \times 400 \]\[ V = \frac{1256}{3} \]\[ V \approx 418.67 \][/tex]
So, the volume of the cone is approximately 418.67 cubic feet.
Complete question : Using 3.14 for pi, what is the volume, to the nearest tenth, of a cone that has a height of 16 feet and a base with radius of 5 feet.
A bag of marble comes with three blue A bag of marble comes with three blue marbles, two red marbles, and five yellow marbles what is the ratio of red to yellow
Fine the measure of a.
A.37
B.39
C.60
D.62
Step-by-step explanation:
Step 1: Find the angle a
All triangles add up to 180 degrees
81 + 62 + a = 180
143 + a = 180
a = 180 - 143
a = 37
Answer: Option A, 37
Solve for b.
12 =
18 + 6b
Step-by-step explanation:
Step 1: Subtract 18 from both sides
[tex]12 = 18 + 6b[/tex]
[tex]12 - 18 = 18 - 18 + 6b[/tex]
[tex]-6 = 6b[/tex]
Step 2: Divide both sides by 6
[tex]-6 / 6 = 6b / 6[/tex]
[tex]-1 = b[/tex]
Answer: [tex]b = -1[/tex]
Find the area of the shape shown below.
3
3
7
And it’s not 63
Answer:
Area = 31.5 (I think)
Step-by-step explanation:
Split into 3 parts:
Rectangle: 7 · 3 = 21
Triangle 1: 3 · 3.5= 10.5
10.5 ÷ 2 = 5.25
Triangles(they are the same): 5.25 · 2 = 10.5
Area: 10.5 + 21 = 31.5
Area = 31.5
6−by=19 what does y equal
The solution of given equation 6−by=19 is [tex]y = \frac{-13}{b}[/tex].
To find the value of y in the equation 6−by=19, subtract 6 from both sides, then divide by -b to isolate y as -13/b.
The variable y in the equation 6−by=19 can be solved for as follows:
6 -by = 19
Subtract 6 from both sides:
-by = 19 - 6
-by = 13
Divide by -b to isolate y is
[tex]y = \frac{13}{-b} = -\frac{13}{b}[/tex]
Therefore, y equals -13 divided by b.
Find the value of x in the attached diagram
Answer:
74
Step-by-step explanation:
74
The box plots show the weights, in pounds, of the dogs in two different animal shelters. Weights of Dogs in Shelter A 2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18. Weights of Dogs in Shelter B Which is true of the data in the box plots? Select three choices. The median weight for shelter A is greater than that for shelter B. The median weight for shelter B is greater than that for shelter A. The data for shelter A are a symmetric data set. The data for shelter B are a symmetric data set. The interquartile range of shelter A is greater than the interquartile range of shelter B.
Answer:
A: The median weight for shelter A is greater than that for shelter B.
D: The data for shelter B are a symmetric data set.
E: The interquartile range of shelter A is greater than the interquartile range of shelter B.
Step-by-step explanation:
edg2020
From the box plots, we can conclude three things: (1) the median weight for Shelter A is greater than that for Shelter B, (2) neither Shelter A's nor Shelter B's data is symmetric, and (3) Shelter A has a greater interquartile range than Shelter B.
Explanation:The box plots given provide valuable information about the weights of the dogs in two shelters. The line dividing the box represents the median weight of the dogs. For Shelter A, the median weight is 21 and for Shelter B, the median weight is 18. Therefore, the statement that the median weight for Shelter A is greater than that for Shelter B is correct.
Next, it's crucial to understand the concept of symmetry in the data set. If a data set is symmetric, the whiskers (that represent the variation or spread of the data) of the box plots would be roughly of equal lengths, indicating uniform spread around the median. Given the information, neither Shelter A nor Shelter B display symmetric whisker lengths, so the data for neither shelter A nor B is a symmetric data set.
Finally, the Interquartile Range (IQR) represents the range within which the central half of the weights lies — it is the difference between the third quartile (the right end of the box) and the first quartile (the left end of the box). For Shelter A, the IQR is 28 - 17 = 11, and for Shelter B, the IQR is 20 - 16 = 4. Therefore, the interquartile range of shelter A is indeed greater than the interquartile range of shelter B.
Learn more about Box Plots here:https://brainly.com/question/12591498
#SPJ11
A group of 32 students have raised money to help pay for a field trip to the Outer Banks Research Park. The trip will cost $3,200 and they have raised $2,156. The students have to pay for the remaining cost of the trip. How much will each student have to pay?
Answer:
$ 32.63
Step-by-step explanation:
$3200 -$ 2156 = $ 1044
Therefore $ 1044 divided by 32 equal $ 32.625.Round it to the nearest hundreth and you get $ 32.63.
Each student have to pay $32.625.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A group of 32 students have raised money to help pay for a field trip to the Outer Banks Research Park.
The trip will cost $3,200 and they have raised $2,156.
Now,
Since, The trip will cost $3,200 and they have raised $2,156.
Hence, The remaining cost to pay by students = $3,200 - $2,156
= $1,044
So, The cost pay by each students = $1,044/32
= $32.625
Learn more about the divide visit:
https://brainly.com/question/844312
#SPJ5
A town has two trucks to collect garbage. When both truck are in use, they take 6 hours to collect all the garbage. When only the small truck is in use it takes 24 hours to collect the garbage how long would it take to collect the garbage if only the large truck is in service?
Answer:
8 hours
Step-by-step explanation:
In this case, the speed would be given by the garbage collection / hour, therefore the two together, that is to say from the sum of both, would be 1/6 the speed and for the small truck it would be 1/24
So to calculate the speed of the big truck it would be:
1/24 + 1 / x = 1/6
1 / x = 1/6 - 1/24
1 / x = 0.125
x = 1 / 0.125
x = 8
Which means that only the big truck would take only 8 hours
The large garbage truck, when working alone, can collect all the garbage in 8 hours. This is found by setting up equations for the combined rate of work of both trucks and the rate of work of the small truck alone, then solving for the large truck's rate of work.
The problem describes a work rate scenario where two garbage trucks work together and individually to complete a task. To solve for the amount of time the large truck would take to collect all the garbage by itself, we can use the rate of work formula which is Work = Rate * Time. When both trucks work together, their combined rate multiplied by 6 hours results in the work being completed. When the small truck works alone, its rate times 24 hours completes the work. We can set up equations to represent these scenarios.
Let, 1 represent the total work (collecting all the garbage), S be the small truck's rate of work, and L be the large truck's rate of work.
From the provided information, we have:
For both trucks: S + L = 1/6 (since together they take 6 hours)For the small truck: S = 1/24Substituting S from the second equation into the first equation, we get:
L + 1/24 = 1/6
Therefore, L = 1/6 - 1/24
After finding a common denominator and subtracting, we find:
L = 4/24 - 1/24
L = 3/24
L = 1/8
So, the large truck's rate of work is 1/8, meaning the large truck can collect all the garbage in 8 hours working alone.
What is the angle QRP in the given figure?
Answer:
Since AB || QR and PR is a transversal.
∠QRP=∠ABP=100 o
[Corresponding angles]
Step-by-step explanation:
A box falls off a warehouse shelf from a height of 16 feet. The function h=−16x2+16 gives the height h (in feet) of the box after x seconds. When does it hit the floor?
The box hits the floor after 1 second.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The function h = -16x²+ 16 gives the height h (in feet) of the box after x seconds. To find when the box hits the floor, we need to find the value of x when h = 0 (since the height of the box will be zero when it hits the floor).
So we can set the function equal to zero and solve for x:
-16x² + 16 = 0
Dividing both sides by -16, we get:
x² - 1 = 0
Factoring the left side, we get:
(x - 1)(x + 1) = 0
So the solutions are x = 1 and x = -1. However, we are only interested in the positive value of x since time cannot be negative.
Therefore, the box hits the floor after 1 second.
To know more about an expression follow
https://brainly.com/question/28293687
#SPJ2
Final answer:
The function h=[tex]-16x^2+16[/tex] represents the height of a falling box. To find when it hits the floor, substitute h=0 into the function and solve for x.
The box hits the floor after 1 second.
Explanation:
The box falls from a height of 16 feet, and the function h=[tex]-16x^2+16[/tex]represents the height of the box after x seconds.
Substitute h=0 into the function to find when the box hits the floor:
0 =[tex]-16x^2 + 16[/tex]
Solve for x to find the time it hits the floor.
[tex]x^{2} =\frac{16}{16}[/tex]
[tex]x=1[/tex]
The box hits the floor after 1 second.
The answer to this question
Edwin Chargaff determined that the amount of adenine (A) is equal to the amount of thymine (T ) in a DNA sample. He also determined that the amount of cytosine (C) is equal to the amount of guanine (G). Thus, A always pairs with T and and C always pairs with G in the complementary DNA strand. Knowing this information, what would be the complementary strand of DNA for ATCGGC?
Answer:
This should be a biology question. But the answer is: Complemetary strand will be TAGCCG
Step-by-step explanation:
what would be the complementary strand of DNA for ATCGGC?
A always pairs with T and and C always pairs with G in the complementary DNA strand.
DNA sequence is ATCGGC
Complemetary strand will be TAGCCG
Given:
- KLMN is a trapezoid
- KL = MN
- LN = √(89)
- LH: altitude
- LM = 3
- KN = 13
Find: m∠LKN
See attached image.
Answer:
45 degrees
Step-by-step explanation:
If KL = MN, and LM =3 and KN = 13, then HN = 13 - (13-3)/2 = 8
LN = sqrt(HN^2 + LH^2) -->
LN = sqrt89 sqrt(8^2 + LH^2) -->
89 = 64 + LH ^2 -->
25 = LH^2 -->
LH = 5
Because HN = 8, HK = 13 - 8 = 5
That makes both legs equal, which makes m∠LKN = 45 degrees
The angle m∠LKN is equal to 45 degrees.
To understand more, check below explanation.
Trapezoid :It is given that,
KL = MN, LM =3 , KN = 13 and LN [tex]=\sqrt{89}[/tex]
So that, HN = 13 - (13-3)/2 = 13 - 5 = 8
[tex]LN = \sqrt{(HN)^{2}+(LH)^{2} }\\\\\sqrt{89} = \sqrt{(8)^{2}+(LH)^{2} }\\\\89=64+(LH)^{2} \\\\LH=\sqrt{25}=5[/tex]
Since, HN = 8. So that, HK = 13 - 8 = 5
In a triangle, if two sides are equal. Then, opposite angle of both sides are also equal.
In triangle LKH, LH = HK = 5 and [tex]\angle H=90[/tex]
So that, m∠LKN = 90/2 = 45 degree.
Hence, the angle m∠LKN is equal to 45 degrees.
Learn more about the trapezoid here:
https://brainly.com/question/1463152
North Carolina has 12 less electoral votes than Florida. Write & solve a subtraction equation to find the number of electoral votes for Florida. North corolina 15
Answer: There are 27 votes for Florida.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The number of votes of North Carolina (15) must be equal to the number of votes of Florida (x) minus 12.
Mathematically speaking:
15 = x -12
Solving for x:
15+12 = x
27 = x
There are 27 votes for Florida.
Feel free to ask for more if needed or if you did not understand something.
At $15.75 per hour, how much did she make per day?
118.00
118.13
119.15
125.00
Answer:
The answer is option 2.
Step-by-step explanation:
It is given that she work for 7.5 hours at a rate of $15.75 per hours. In order to calculate how much she earned, you have to multiply it :
$15.75 = 1 hour
$ x = 7.5 hours
x = 7.5×$15.75
x = $118.13 (2d.p)
Find the surface area of the square pyramid. *
Find the surface area of the rectangular prism. *
Find the total surface area of the composite figure. *
Answer:
45
Step-by-step explanation:
The surface area of the square pyramid, square prism, and total surface area will be 103 square mm, 429 square mm, and 532 square mm, respectively.
What is the area?The area of a two-dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The surface area of the square pyramid is calculated as,
SA of pyramid = 4 x 1/2 x 5 x 10.3
SA of pyramid = 103 square mm
The surface area of the rectangular prism is calculated as,
SA of prism = 4(13 x 5) + 13 x 13
SA of prism = 429 square mm
The total surface area of the composite figure is calculated as,
TSA = 103 + 429
TSA = 532 square mm
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ2
Can someone please help me with this ASAP‼️ Thank You
Let x = cost of the dishwasher.
The amounts the children are paying are:
Mark =20% = 1/5, so 1/5x
Sorin = 75
Raymond = 1/4x
Stephanie = 75
Kristin = 1/3x
Add them together:
x = 1/5x + 1/4x + 1/3x + 75 + 75
x - ( 1/5x + 1/4x + 1/3x ) = 150
Rewrite fractions with common denominator:
x - ( 12/60x + 15/60x + 20/60x ) = 150
60/60x - 47/60x = 150
13/60x = 150
x = 150/1 • 60/13
x = 9000/13
x = 692.31
The total cost of the dishwasher is $692.31
Now calculate the amount each child pays:
Mark = 1/5 x = 692.31/ 5 = $138.46
Sorin = $75.00
Raymond = 1/4 x = 692.31 / 4 = $173.08
Stephanie = $75.00
Kristin = 1/3 x = 692.31 / 3 = $230.77
How to find the surface area of the regular pyramid .Write your answer as a decimal. The problem is 9 cm, 7 cm. But the area of the base is 84.3 cm2. Give me the rest of answer.
To calculate the surface area of a regular pyramid, add the area of the base to the combined area of the triangular faces. The base area is known, but without the base perimeter or side lengths, the total surface area cannot be determined.
Explanation:To find the surface area of a regular pyramid, we need to first know the surface area of the base, which is given as 84.3 cm². Then, we must calculate the surface area of the triangular faces. The student has provided the slant height (9 cm) and the base of the pyramid, but the length of the base side is not clear from the question. Typically, the formula for the surface area (SA) of a regular pyramid is SA = base area + 1/2 × perimeter of base × slant height. Since the area of the base is known, we only need the perimeter of the base to continue. If that perimeter or the number of sides and the length of each side were provided, we could use it to find the area of each triangle using the formula for the area of a triangle, which is 1/2 × base × height, and then multiply it by the number of triangles (sides) the pyramid has to get the total area of the triangular faces. This sum, along with the base area, would give us the total surface area of the pyramid. Without the individual side lengths or the perimeter, an exact surface area cannot be calculated.
I need help with 16,17,and 18! I WILL MARK YOU BRAINLIEST!!!
Answer:
sin 56 = 0.8290
cos 23 =0.9205
Step-by-step explanation:
you can literally find this by typing: sin 56 deg in google.
or use a calculator.
Find the square root.
V121 =
Answer:
11
Step-by-step explanation:
[tex] \sqrt{121} = \sqrt{11 \times 11} = 11 \\ [/tex]
Evaluate the expression.
Answer:
-2
Step-by-step explanation:
[tex]2 (\sqrt{\frac{80}{5} }-5)[/tex]
[tex]2(\sqrt{16}-5)[/tex]
[tex]2(4 - 5)[/tex]
[tex]2(-1)[/tex]
[tex]-2[/tex]
The value of a computer is $1200. It loses 20% of its value every year. Write a function the represents the value y (in dollars) of the computer after t years. The find the value of the computer after 5 years.
y = 1200(.80)^t Plug in 5 for t (time).
y = 1200(.80)^5
.80^5= 0.33
0.33 x 1200 = 395
Therefore, the value of the computer after 5 years has deteriorated to $396.
The function represents the value of the computer will be y = $1200 × (0.80)ˣ. Then the value of the computer after 5 years will be $393.22.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a (1 - r)ˣ
The value of a computer is $1200. It loses 20% of its value every year. Then the equation is given as,
y = $1200 × (1 - 0.20)ˣ
y = $1200 × (0.80)ˣ
Where 'x' is the number of years and 'y' is the amount. Then the value of the computer after 5 years will be given as,
y = $1200 × (0.80)⁵
y = $1200 × 0.32768
y = $393.22
The function represents the value of the computer will be y = $1200 × (0.80)ˣ. Then the value of the computer after 5 years will be $393.22.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
Can someone help me out with this one?
Answer:
[tex]F(x)=\left \{ {{-\frac{1}{2}+1, x<0 } \atop {2x-2, x\geq0}} \right.[/tex]
Step-by-step explanation:
There are 2 linear equations, one with an open circle and one with a closed one. Depending on where the circle is, that will tell you your start. Both circles start at 0 on the graph. The open circle means that the first equation will be x < 0. The second equation has a closed circle so it will be [tex]x\geq 0[/tex] because the linear equation is increasing positively.
Now you need to the start point of both equations.
[tex]x<0[/tex] start point is 1 on the y-axis
[tex]x\geq 0[/tex] start point is 2 on the y-axis
Now you have to find the slope for the two equations
[tex]x<0[/tex] the equation goes up 1 and and over 2
[tex]x\geq 0[/tex] the equation goes up 2 and over 1
Now put together the equations
[tex]x<0[/tex] [tex]\frac{-1}{2} + 1[/tex]
[tex]x\geq 0[/tex] [tex]2x - 2[/tex]
Find the perimeter of a train of 100 equilateral triangles if the triangles are joined side to side. Each side is one inch long. Write an equation to determine the perimeter of the triangle train.
Answer:
102
Step-by-step explanation:
Each triangle will have a perimeter of 3. When joined, the outside triangles will have 2 sides showing, or 2 inches. The middle 98 will only have one free side, or one inch. This means that 98*1 + 2*2 = 102
To calculate the perimeter of 100 equilateral triangles joined side to side, each with a side of one inch, use the formula P = 2s + (n - 1)s. With s = 1 inch and n = 100, the perimeter is 101 inches.
Explanation:To find the perimeter of a train of 100 equilateral triangles, we start by acknowledging that each triangle contributes two sides to the perimeter since they are joined side to side. An individual equilateral triangle has three sides of equal length; however, when joined in a train, the shared side does not contribute to the perimeter. Therefore, the equation to determine the perimeter (P) of the triangle train with 100 triangles, each with a side length (s) of one inch, would be:
P = 2s + (n - 1)s
Where n is the number of triangles in the train. Plugging in the values, we get:
P = 2(1 inch) + (100 - 1)(1 inch) = 2 inches + 99 inches = 101 inches.
This calculation shows that the perimeter of a train of 100 equilateral triangles, each with sides of one inch, is 101 inches.
The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24
meters.
What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.
5 meters
8 meters
10 meters
12 meters
Answer: The answer is 5 meters
Step-by-step explanation: Plss trust me i actualy thought about it.. XD
Use the image shown and a scale factor of 1/2 to find
the pre-image. Which is the pre-image of A'?
• (-1, -1)
• (-2,-2)
•(-4,-2)
•(-4,-4)
THE ANSWER IS D
The pre-image of A' is (-4,-4), and the correct option is D.
What is the scale factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
The image is shown and a scale factor of 1/2 to find the pre-image.
[tex]\rm Scale\ factor = \dfrac{Dimension\ of\ New \ Shape}{Dimension\ of \ Original \ Shape}\\\\Dimension\ of\ New \ Shape= Scale\ factor \times Dimension\ of \ Original \ Shape\\\\A' =\dfrac{1}{2}(-8, \ -8)\\\\A' =(-4,-4)[/tex]
Hence, the pre-image of A' is (-4,-4), and the correct option is D.
Learn more about scale factors here;
https://brainly.com/question/10534046
#SPJ2