Answer:
x = 2 mL
Step-by-step explanation:
(12)(250) = 1500x
3000 = 1500x
x = 2
9514 1404 393
Answer:
x = 72
Step-by-step explanation:
Multiply by 1500 mL.
[tex]\displaystyle\frac{12\text{ mL}}{250\text{ mL}}=\frac{x\text{ mL}}{1500\text{ mL}}\\\\\frac{12\text{ mL}}{250\text{ mL}}\cdot1500\text{ mL}=\frac{x\text{ mL}}{1500\text{ mL}}\cdot1500\text{ mL}\\\\12\text{ mL}\cdot\frac{1500}{250}=x\text{ mL}\\\\72\text{ mL}=x\text{ mL}\quad\Rightarrow\quad\boxed{x=72}[/tex]
What is the explicit formula of the geometric sequence? 5,-15,45,-135
Answer:
Tn=a(-3)^(n-1)
where a is first term and n is number of terms
Step-by-step explanation:
r=-3
A triangular prism has a base length of 1.5 centimeters, a base height of 3 centimeters, and a height of 12 centimeters.
Question 1
Part A
Find the volume of the prism.
Enter the correct answer in the box.
Answer:
V=[tex]27 cm^{3} \\[/tex]
Step-by-step explanation:
[tex]Area -of-triangle=\frac{1}{2} \times base\times height=0.5\times1.5\times 3=2.25cm^{2} \\Vol=Area\times height= 2.25\times 12=27 cm^{3} \\[/tex]
Answer:
Part A: 108
Part B: 24.
Step-by-step explanation:
Explanation: The formula for volume of a prism is V=Bh. (B is base area and H is height). The information doesn't provide base area so you need to find base area. The formula for base area is 1/2 x base side x height, so 1/2 x 1.5 x 12 = 9. (This is the formula for triangular prism.) Now do the volume formula; 9 x 12 = 108. Now for part B: Divide the volume by the base area. 108 / 4 1/2 = 24. So the answer for A is 108 and for B it's 24. Check your answer: 4 1/2 x 24 = 108.
Sorry if it's wrong. Have a good day!
Cho phương trình: x1 + x2 + x3 + x4 + x5 = 30 (*)
a. Tìm số nghiệm nguyên không âm của phương trình (*)
b. Tìm số nghiệm nguyên không âm của phương trình (*) thỏa: x2 ≤7 và x3 ≤12
Giúp mình với hihi
Answer:
Step-by-step explanation:
ngu dot
please help. is due today. Thank you
Answer:
Step-by-step explanation:
take 22 degree as reference angle
using cos rule
cos 22=adjacent/hypotenuse
0.92=56/x
x=56/0.92
x=60.86
x=60.9
A tourist shop earns a 20% profit on all sale of flip-flops. If the total in flip-flop sales was $1,280. What is the profit?
Answer:
profit is 256 dollars
Step-by-step explanation:
20% of 1,280 is 256 dollars
An airplane ticket has an area of 119 square centimeters. Its perimeter is 48 centimeters. What are the dimensions of the ticket?
Answer:
17cm ×7cm
Step-by-step explanation:
Assuming that the airplane ticket is a rectangle,
let the length and the breadth of the ticket be L cm and B cm respectively.
LB= 119 -----(1)
2(L +B)= 48
L +B= 48 ÷2
L +B= 24 -----(2)
From (2):
L= 24 -B -----(3)
Substitute (3) into (1):
B(24 -B)= 119
24B -B²= 119 (expand)
B² -24B +119= 0
(B -17)(B -7)= 0 (factorise)
B -17= 0 or B -7= 0
B= 17 or B= 7
Substitute the values of B into (3):
L= 24 -17 or L= 24 -7
L= 7 or L= 17
∴ The dimensions of the airplane ticket is 17cm ×7cm.
Jessica bought a ticket to a football game for 17.50. The tax on the ticket was 1.44. She paid with a $50 bill. How much change did Jessica receive?
Answer:
31.06
Step-by-step explanation:
Ticket costs: 17.50+1.44=18.94
Change received: 50-18.94=31.06
someone help me please
Answer:
C
Step-by-step explanation:
Hi there!
We're given a rectangle with one side marked as 16 and another marked as 12
We need to find the length of the diagonal
Rectangles have a property that makes the opposite sides congruent. Therefore, the side opposite to the side marked as 16 is also 16 and the side opposite to the side marked as 12 is also 12 because of that property.
Now let's look at the shapes cut by the diagonal; they are right triangles.
We only need to look at one of the triangles for this problem
The measures of 12 and 16 in the triangle are the legs (sides that make up the right angle) and the diagonal is the hypotenuse (the side that is opposite to the right angle).
You can absolutely solve for the diagonal/hypotenuse by doing Pythagorean theorem, but there's a shortcut:
3, 4, 5 is a common Pythagorean triple
(3²+4²=5²)
(9+16=25)
(25=25)
You may notice that dividing 12 and 16 by 4 are equal to 3 and 4 respectively
that means it's a 3, 4, 5 triangle, just by multiplied 4
So that means the hypotenuse has to be 5 * 4, which is equal to 20 inches
Therefore the answer is C
Hope this helps!
Help! Please answer this! Giving all my points away! NO LINKS! Thank you!
Answer:
13
Step-by-step explanation:
200-187=13
help me I got 25 missing assignments
[tex]\sf\purple{10}[/tex] ✅
Step-by-step explanation:
[tex]35 \times \frac{2}{7} \\ = \frac{35 \times 2}{7} \\ = \frac{70}{7} \\ = 10[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Answer:
10
Step-by-step explanation:
see the image below:)
You randomly select two poker chips from a bag containing 7 poker chips: 4 red, 1 blue, 1 green, and 1 white. Consider the following events:
Event A: You select a green poker chip
Event B: You select a white poker chip.
Determine whether the following statement is True or False: Events A and B are statistically independent.
Answer:
P[You select a green poker chip] = 1/7
P[You select a white poker chip] = 1/7
Step-by-step explanation:
Given:
Number of chips beg contain = 7 chips
Number of red chips = 4 chips
Number of blue chips = 1 chips
Number of green chips = 1 chips
Number of white chips = 1 chips
Find:
Event A: You select a green poker chip
Event B: You select a white poker chip
Computation:
P[You select a green poker chip] = Number of green chips / Number of chips beg contain
P[You select a green poker chip] = 1/7
P[You select a white poker chip] = Number of white chips / Number of chips beg contain
P[You select a white poker chip] = 1/7
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A company manufactures CD drives that have a 1.6% chance of experiencing disc-read errors. If a CD drive is tested for 250 read operations, the number of times it may fail is
Answer:
The answer is 4.
Step-by-step explanation:
Multiply 250 with 1.6%. 1.6% is also written as 0.016.
So pretty much you multiply 250 with 0.016 and you get 4.
A company is considering to choose between two investment projects with the
following details.
Project A : Costs RM7 million in upfront costs and will generate RM3 million in
annual income for five years starting three years from now.
Project B : Costs RM2.5 million upfront and RM2 million in each of the next
three years. This project generates no annual income but will be sold
six years from now for a sales price of RM16 million.
By using Net Present Value approach, with a discount rate of 8%, determine
which project should be choosen by the company.
Answer: Project A should be chosen as it has the highest NPV.
Step-by-step explanation:
Project A
Present value of inflows:
First find the present value of inflows 3 years from today. Bear in mind that the inflow is constant so this is an annuity:
= 3 million * Present value interest factor of annuity, 8%, 5 years
= 3 million * 3.9927
= RM11,978,100
Discount this value to the present:
= 11,978,100 / (1 + 8%)³
= RM9,508,602
Net Present value = Present value of inflows - Investment
= 9,508,601 - 7,000,000
= RM2,508,601
Project B:
Find present value of costs:
= 2,500,000 + (2 million * Present value interest factor of annuity, 3 years, 8%)
= 2,500,000 + (2,000,000 * 2.5771)
= 2,500,000 + 5,154,200
= RM7,654,200
Net present value = (16,000,000 / (1 + 8%)⁶) - 7,654,200
= RM2,428,514
Project A should be chosen as it has the highest NPV.
click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Multiply or divide as indicated.
p³ • p ² • p
Given:
The expression is:
[tex]p^3\cdot p^2\cdot p[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]p^3\cdot p^2\cdot p[/tex]
According to the product property of exponents,
[tex]a^m\cdot a^n=a^{m+n}[/tex]
Using the product property of exponents, we get
[tex]p^3\cdot p^2\cdot p=p^{3+2+1}[/tex]
[tex]p^3\cdot p^2\cdot p=p^{6}[/tex]
Therefore, the value of given expression is [tex]p^6[/tex].
please help!!!!!!!!!!
Answer:
y - 2 = 0
Step-by-step explanation:
find slope first:
(2-2)/(5+1) = 0/6 or 0
now use 'y=mx+b' to find the y-intercept (the 'b'):
2 = 0(5) + b
2 = b
so, in slope-intercept form, the equation is:
y = 2
but, in standard form, the equation is:
y - 2 = 0
Find the solutions to the following equation by using the quadratic formula .
2x^2+14x+20=216
Answer:
x = 7 , − 14
Step-by-step explanation:
I believe this is correct.
Keenan is playing darts. So far, he has hit the bullseye 2 times and missed the bullseye 8 times. Considering this data, how many bullseyes would you expect Keenan to get during his next 20 tosses?
Answer:
4 times
Step-by-step explanation:
First you take the number of times and divide them by the number of times he attempted it. (2)/(8+2) or 1/5. Then you set up an inequality which would look like this. x/20=1/5 then you will cross multiply them to get this equation 5x=20. then you solve for x and you would get x=4. So you can expect him to hit four bullseyes in the next 20 attempts.
Which function, g or h, is the inverse function for function f?
Answer:
first option
imagine the line y = x as a mirror
Answer:
The answer is A. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"
Use a matrix to solve the system:
3x + 2y – z = 17
x - 2y - 4z = 5
2x + y + 2z = 5
Hello
Answer un excel file
[tex]\left[\begin{array}{ccc}3&2&-1\\1&-2&-4\\2&1&2\end{array}\right] *\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}17\\5\\5\\\end{array}\right][/tex]
Gaussian 's method
x=3
y=3
z=-2
Solve for x (hint - use the quadratic formula):
Step-by-step explanation:
find the value of sec X/3
Answer:
here is the answer to this question
The point P lies on the unit circle, making an angle of measure theta with the positive x-axis.
Use the cosine and sine functions to express the exact coordinates of P in terms of angle theta
Answer:
[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]
Step-by-step explanation:
[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]
The x-coordinate will be cosθ and the y-coordinate will be sinθ.
What are polar coordinates?Polar coordinates are a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point called the pole and an angle from a fixed direction called the polar axis.
The distance from the pole is called the radial coordinate or radius, denoted by "r", and the angle is called the angular coordinate or polar angle, denoted by "θ".
Polar coordinates are often used in situations where the Cartesian coordinates (x, y) are not convenient, such as in polar graphs, 3D coordinate systems, and certain physics and engineering applications.
For the point P, the coordinates will be,
x-coordinate: cosθ
y-coordinate: sinθ
To know more about polar coordinates follow
https://brainly.com/question/22810698
#SPJ2
a Cylindial water tank carries a volume of 150 lwhen it's tell full.The water tank has a base surface with a diameter of 140 cm. what is the height of the water tank.
Answer:
9.744180189 cm
Step-by-step explanation:
1 liter = 1 dm³ (cube with 10cm side lengths) =
= 10×10×10 cm³ = 1000 cm³
the volume of a cylinder is
base area × height
and the base area is a circle
area = pi×r²
r (radius) is half the diameter.
so, we know
volume = 150000 cm³
r = diameter/2 = 70 cm
so, we have
150000 = pi×r² × height = pi×70² × height =
= pi×4900 × height
1500 = pi×49 × height
height = 1500 / (pi×49) = 9.744180189... cm
Which of the following shows an element of the sample space for first
tossing a coin and then rolling a number cube?
Find the perimeter of the figure.
Answer:
=76.5 cm
Step-by-step explanation:
Add up the lengths of the outsides
P= 15.6+ 13.6+13.6+17.6+16.1
P =76.5 cm
why 13/3hr and 4hr are equal?
Answer:
13/3 = 4 1/3 which when rounded is 4hrs
As 4.3/4 = 1.075 = 1 unit and not 2
Step-by-step explanation:
13/3 = 4.33333333 and rounded down = 4 hrs
A 32 inch computer monitor is shown what is the height of the screen in inches?
Answer:
16 inches
Step-by-step explanation:
32 divided by 2
The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.
Answer:
46.75 cm²
Step-by-step explanation:
The figure can be decomposed into 3 rectangles.
Area of the figure = area of rectangle A + area of rectangle B + area of rectangle C
✔️Area of rectangle A = L*W
L = 4 cm
W = 5½ cm = 5.5 cm
Area = 4*5.5 = 22 cm²
✔️Area of rectangle B = L*W
L = 8½ - (4 + 3) = 8½ - 7 = 1.5 cm
W = 5½ - 2 = 3.5 cm
Area = 1.5*3.5 = 5.25 cm²
✔️Area of rectangle C = L*W
L = 3 cm
W = 6½ cm = 6.5 cm
Area = 3*6.5 = 19.5 cm²
✔️Area of the figure = 22 + 5.25 + 19.5 = 46.75 cm²
arithmetic progression
Answer: ar·ith·met·ic pro·gres·sion
/ˌeriTHˌmedik prəˈɡreSH(ə)n/
noun
a sequence of numbers in which each differs from the preceding by a constant quantity (e.g., 3, 6, 9, 12, etc.; 9, 7, 5, 3, etc.).
the relationship between numbers in an arithmetic progression.
"the numbers are in arithmetic progression"
Step-by-step explanation:
Please help and Solve for x.
Answer:
[tex]tan70 = \frac{opp}{adj} \\ \: \: = \frac{15}{x } \\ \\ x = \frac{15 }{tan70 } \\ \\ = \frac{15}{2.747} \\ \\ = 5.46[/tex]
since 5.46 is equal to 5.5...
I think the answer is the first one
FIND THE AREA I WILL MARK BRAINLIEST
Answer:
Hello! answer: 104
Step-by-step explanation:
(base × height)
13 × 8 = 104 therefore the area is 104 hope that helps!
Answer:
104
Step-by-step explanation:
8*13