Answer:
1) 5
Step-by-step explanation:
(working on the others rq)
A Rover driving on the moon’s surface travels at a speed of 60 ft/min. How far will it travel in 90 min?
Answer:
d =5400 ft
Step-by-step explanation:
d = rt
where d is distance r is rate and t is time
d = 60 ft/ min * 90 min
d =5400 ft
Answer:
5400ft
Step-by-step explanation:
If you are travelling 60ft/min or 60 feet in one minute, you can multiply by 90 minutes to find the number of feet you will travel in that time.
60ft/min * 90min = 5400ft
If they want an approximate mileage, it is just above 1 mile. (1.022727miles)
A number plus 16 times its reciprocal equals 4. Find all possible values for the number.
All the possible values for the number are \(x=2+2i\sqrt{3}\) and \(x=2-2i\sqrt{3}\).
Given that, a number plus 16 times its reciprocal equals 4.
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Let the unknown number be x.
Now, the equation is \(x+\frac{16}{x}=4\)
\(\frac{x^2+6}{x}=4\)
\(x^2+16=4x\)
\(x^2-4x+16=0\)
By comparing \(x^2-4x+16=0\) with \(ax^2+bx+c=0\), we get a=1, b=-4 and c=16.
Substitute these values in quadratic formula \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\), we get
\(x=\frac{4\pm\sqrt{(-4)^2-4\times1\times16} }{2\times1}\)
\(x=\frac{4\pm\sqrt{-48} }{2}\)
\(x=\frac{4\pm4i\sqrt{3} }{2}\)
\(x=2+2i\sqrt{3}\) and \(x=2-2i\sqrt{3}\)
Therefore, all the possible values for the number are \(x=2+2i\sqrt{3}\) and \(x=2-2i\sqrt{3}\).
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i need help with this question please help me
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
20 pts:
Here are points A-E.
a. Which point is the image of B using A as the center of dilation and with a scale factor of 2? Select Choice:
b. Which point is the image of A using B as the center of dilation and with a scale factor of 2? Select Choice:
c. Which point is the image of B using A as the center of dilation and with a scale factor of 1/2? Select Choice:
d. Which point is the image of A using B as the center of dilation and with a scale factor of 1/2? Select Choice:
Answer:
a's answer = E
b's answer = C
c 's answer= D
d 's answer= A
Aiden bought 15 chicken wings for $10. What was the cost of the wings in wings per dollar?
Answer: $1.50
Step-by-step explanation:
15/10=1.5
Please help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1) 512 in.
2) 384 in.
Step-by-step explanation:
\(volume = {a}^{3} = 8 \times 8 \times 8 =512\)
\(surface \: area \: = 6 {a}^{2} = 6 \times 8 \times8 = 384\)
HELPPPPP!!!!!!! I need to know how to do this step by step, I don’t know how to solve these equation problems. I don’t understand how you add or subtract, etc. from both sides. This is so difficult I’d rather learn a new language.
I need help on these 5 questions:
Step-by-step explanation:
(2x-3)² - (4x+1)(x − 4)
4x² - 12x + 9 - 4x² - 16x + x - 4
group like terms
4x² - 4x² - 12x+x+9-4
-11x + 5
Answer this please. x3+y3+z3=k
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Find the total surface area of this cylinder
Answer:
the answer is 432
if you multiply 18×24= 432
Answer:
1582.5
Step-by-step explanation:
area formula of a cylinder is
A=2π r^2+h(2π r)
so 2(3.14)(144)+18(37.68)=1582.56
SHOW 2 DIFFERENT WAYS TO FACTOR
\(-\frac{11}{2}x\) + \(\frac{1}{2} - \frac{7}{2} y\)
BTW!! \(-\frac{11}{2}x\) is NEGATIVE
Answer:
the fraction is 3(x + 4)
Step-by-step explanation:
Help me please il give 20 points!
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
Responses
A x − 7 = −11
B x − 7 = 11
C x + 7 = 11
D x + 7 = −11
Can you pls answer these questions?
I'm giving brainliest
Write the coordinate for the location of the star.
Can someone help me I hate to do school so late!
1Jenny wants to rent a truck for one day. She contacted two companies. Laguna’s Truck Rentals charges $20 plus $2 per mile. Salvatori’s Truck Rentals charges $3 per mile. After how many miles will the total cost for both companies be the same?
Answer: 20 miles
Step-by-step explanation:
Let x be the miles which for both companies to be the same.
2 per mile so 2x. 3 per mile so 3x
Laguna's truck rentals = 20+2x per mile
Salvatori's truck rentals = 3x per mile
20+2x=3x
x=20
One stack has 6 cups, and its height is 15 cm. The other one has 12 cups, and its height is 23 cm. How many cups are needed for a stack with a height of 50 cm?
Answer:
Given
Number of stacks = 2
Stack 1 = 6 cups; h1 = 15cm
Stack 2 = 12 cups; h2 = 23cm
Let's first find the average:
With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:
50 / (4/3)
= 50 * 3/4
= 150/4
= 37.5
From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.
Step-by-step explanation:
Im doing a small project in math, and this is what the main things to know are:
Kerri has saved all of her money in one large piggy bank. One day Kerri decides to start spending her money and she begins taking out the same amount of money every day.
Kerri knows that 17 days after she started spending her money she had $325.50 left in her piggy bank. She also knows that 37 days after she started spending her money she had $150.50 left.
For one of the questions, I have to find the constant rate of change for this. Does anyone know how to solve this? any help would be very appreciated! thank you!
Simplify the following expression. -3 + 9
Answer:
6
Step-by-step explanation:
it is the same thing as 9-3, which is 6.
[PICTURE ATTACHED] HEELPP!
Answer:
saving money
Step-by-step explanation:
it wouldn't be none with repaid yet!
Answer:
SAVEING MONEY CAN HELP PAY FOR COLLEGE
Write an equation that represents the line. Use exact numbers.
y = 6/5x -5
6/5 is your slope. Slope is always rise over run or y over x. -5 is the y- intercept. What is y when x is zero.
.......................................
PLZ HELP SOON
Bill and Xiadan each flip a fair coin three times. What is the probability that they will flip the same number of heads?
HELP ASAP WHICH ONE? I WILL GIVE BRAINLIEST
Answer:
The correct answer is A :)
I need the answers to the problems IN ALL 4 PICTURES, if you only do one, I will be sad. 50 POINTS+ BRAINLIEST if you answer THEM ALL
Answer:
1- -0.7353
hope this helped for the slope
Answer:
(20-10) is where the 4 is and for ( -14 15) it is 4 also.
Step-by-step explanation:
A circle has diameter of 9cm
A square has side of 5cm
Use Pythagoras Theorem to show that the square can fit into the circle without touching the edge of the circle.
Answer:
Step-by-step explanation:
diameter of the circle = 9 cm
side of square = 5 cm
As we know that the diagonal is maximum dimension in case of square, so if the length of diagonal is less than the diameter of the circle, then the square can fit into the circle else not.
First we need to find the length of the diagonal.
Let the length of diagonal is D.
By use of Pythagoras theorem
D = 7.07 cm
As the length of the diagonal is less than the diameter of the circle, so the square can fit into the circle.
Two pounds of grades cost $6.00
Complete the table showing the price of different amounts of grapes at this rate.
Answer:i think it would be 1/3 a pound is 1 dollar and its 3 dollars for 1 pound
if thats wrong im so sorry
Step-by-step explanation:
50 POINTS PLS SOLVE HELP PLS
Answer:
2;5, 8;20, 24;60
Step-by-step explanation:
Answer:
Sorry I tied to help you
Step-by-step explanation:
You have a stack of sticky notes in six different colors. There are 600 sticky notes in the stack(100 of each color). The height is 6 cm, and the width and length are both 7.62 cm. The six colors are stacked on top of each other with the height(so each colored stack is 1cm).
1. What is the volume of each section? Describe two methods to find the volume of one of the sections.
2. What is the height of one sticky note? Describe two methods to find the height of one sticky note.
---------------------------------------------------------------------------------------------------------------------
3. A stack of circular sticky notes has 400 sticky notes in total. The cylinder has a diameter of 3 in. and a height of 0.8 in. Find the surface area of one sticky note. Use 3.14 for pi. Show your steps.
Thank you so much for helping!!
Answer:
1. 58.0644
2. 0.01
3. 14.16
Step-by-step explanation:
1. V = l*w*h
v = 7.62*7.62*1
v = 58.0644
or
v = 7.62*7.62*6
v = 348.3864
v = 348.3864/6
v = 58.0644
2. 1cm/ 100 sticky notes = 0.01
6cm/ 600 sticky notes = 0.01
3. A=2πrh+2πr2
=2·π·1.5·2×0.002+2·π·1.52
=14.15602
The volume of each section will be 58.09364\(cm^3\). The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
1)The volume of one sticky note can be calculated using the formula for the volume of a rectangular prism :\(V = l \times w \times h\), where l is the length, w is the width, and h is the height.
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height (h) = 1 cm (for each colored stack)
Substituting the values into the formula:
V = \(7.62 cm \times 7.62 cm \times 1 cm\)
V = 58.09364\(cm^3\).
Since there are 100 sticky notes of each color, the volume of each section can be found by multiplying the volume of one sticky note by 100:
Volume of each section =\(58.09364 cm^3 \times 100\)
Volume of each section = 5809.364 cm³
Method 2: Using the total volume of the stack and proportions
The total volume of the stack can be calculated by multiplying the area of the base (length × width) by the total height of the stack.
Given:
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height of stack = 6 cm
Volume of stack = l × w × height of stack
Volume of stack =\(7.62 cm \times 7.62 cm \times 6 cm\)
Volume of stack = 349.52544\(cm^3\) (rounded to five decimal places)
Since the stack contains 600 sticky notes in total and each section represents one-sixth of the stack, we can calculate the volume of each section by dividing the total volume by 6:
Volume of each section = Volume of stack divided by 6
Volume of each section =\(\dfrac{349.52544 }{6} cm^3\)
Volume of each section = 58.25424 cm³ (rounded to five decimal places)
The height of one sticky note, we can divide the total height of the stack by the number of sticky notes of each color.
Method 1: Direct division
The height of one sticky note can be found by dividing the total height of the stack by the number of sticky notes in each colored section.
Height of stack = 6 cm
Number of sticky notes per color = 100
Height of one sticky note = \(\dfrac{Height of stack } {Number\ of \ sticky \ notes \ per \ color}\)
Height of one sticky note =\(\dfrac{6}{100}cm\)
Height of one sticky note = 0.06 cm
By Using proportions, method 2 can be solved
Since each colored section represents one-sixth of the stack, the height of one sticky note can be found by multiplying the height of the stack by \(\dfrac{1}{6}\).
Height of stack = 6 cm
Height of one sticky note =\(Height of stack \times\dfrac{1}{6}\)
Height of one sticky note =\(6\times \dfrac{1}{6}\)
Height of one sticky note = 1 cm
To find the surface area of one sticky note in the circular stack, we need to calculate the surface area of the cylinder and then divide it by the number of sticky notes.
Total number of sticky notes = 400
Diameter of cylinder = 3 in
Height of cylinder = 0.8 in
\(\pi\) = 3.14
Calculate the surface area of the cylinder using the formula for the lateral surface area of a cylinder:\(A = 2\pi rh\), where r is the radius and h is the height.
Radius (r) = \(\dfrac{3}{2}\) = 1.5 in
Lateral Surface Area (A) = \(2\pi rh\)
A = \(2 \times 3.14 \times 1.5 \times 0.8\) in
A = 9.504 sq inch (rounded to three decimal places)
Since there are 400 sticky notes, we can calculate the surface area of one sticky note by dividing the total surface area by 400:
Surface area of one sticky note = \(\dfrac{A}{Total\ number of \ sticky \ notes}\)
Surface area of one sticky note = \(\dfrac{9.504 }{400}sq \ inch\)
Surface area of one sticky note ≈ 0.02376 sq inch.
The volume of each section will be 58.09364\(cm^3\). The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
Learn more about cylinder here:
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