Answer:
210.
Step-by-step explanation:
10.5 x 20 = 210
i hope that helps!!!
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
Mary is planning to survey a sample of women to find out how much money the average woman spent on lipstick last year. What sample size will she need, if she wants to be 95% confident that her sample mean is no more than $4 away from the population mean, and assuming a standard deviation of $20? A. 100
Answer: The required sample size = 97
Step-by-step explanation:
If prior population standard deviation is known, then the minimum sample size can be computed as:
[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex]
,where z* = critical z-value
[tex]\sigma[/tex] = population standard deviation
E = Margin of error
As per given,
[tex]\sigma=20,\ E= 4[/tex]
Critical value for 95% confidence = 1.96
[tex]n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97[/tex]
Hence, the required sample size = 97
x^2-16=0 solve for all real values of x
Hi there! Use the difference of two squares formula below:
[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]
You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².
Then,
[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]
[tex] \large{(x + 4)(x - 4) = 0}[/tex]
Solve the equation for all real values of x.
[tex] \large{x = 4, - 4}[/tex]
If you don't like using a formula. You can do this:
[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]
If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.
For the square both sides method above (second method), we can define that:
[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]
Answer
x = 4,- 4 (You can answer x = ±4The living room in a new house has the dimensions shown. What is the volume of the room?
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
I need the answer HELP HELP HELP HELP
Answer:
A; TDC Inc., has 40 salespeople
B; Exactly half of the salespeople took fewer than 6 flights last year
F; Exactly half of the salespeople took at least 7 flights last year
The area of the base of a portable speaker, shaped like a hexagonal prism, is 36 square inches. The height of the speaker is 8 inches. (The long side which it sits on in the image below is the height.) Find the volume of the speaker.
Answer:
92 dB
Step-by-step explanation:
Fsf
Answer:
[tex]volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches[/tex]
You start at (2, -1). You move down 3 units and left 3 units. Where do you end? graph
Answer:
Hi there, mizuki here to answer
The correct answer should be:(-1, -4)
I also put a image of the graph, anyways hope this helped(red dot is the final area, blue dot is the starting point[2,-1])
Step-by-step explanation:
Convert 4 5/6 to a fraction greater than one
Answer:
29/6
Step-by-step explanation:
I need some help on this please Simplify 2c-5c+c
lots of points for a easy question the unit of measure of the____ of the conversion factor should be the unit of measure____ which you want to convert
A numerator from
b denominator from
c denominator to
d none of the above
Answer:
the unit of measure of the conversion factor should be the unit of measure__
A numerator from __ which you want to convert
9:25 p.m. in 24 hour time is written a
Answer:
21:25
Step-by-step explanation:
9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answer:
si se tirs undado you need to
4 more than a number is 12
Answer:
555
Step-by-step explanation:
Answer:
4 + x = 12
x = 8
Step-by-step explanation:
4 more than a number is 12
I will represent the mystery number as "x"4 + x = 12
x = 8
i need help please and thank you
Answer:
82.5inches.
Step-by-step explanation:
A=1/2bh
=1/2×15×11
=82.5
Answer:
82.5 in.²
Step-by-step explanation:
[tex]A=\frac{1}{2} bh[/tex]
[tex]A=\frac{1}{2}(15)(11)[/tex]
[tex]A=\frac{1}{2}(165)[/tex]
[tex]A=82.5 in.^{2}[/tex]
Write the log equation as an exponential equation. You do not need to solve for x.
log, (2) = 2x - 1
Answer:
2 = 10^(2x-1)
Step-by-step explanation:
Imma assume the "," is 10,
So basically, it's just 2 = 10^(2x-1) I think, sorry if I'm wrong tho
Sally has 2/3 pink marbles and 0.6 red marbles. Witch is greater. answer fast
Answer:
2/3
Step-by-step explanation: 2/3 is just 0.66666 repeating which is greater than 0.6
Answer:
2/3
Step-by-step explanation:
2/3 and 3/5
10/15 and 9/15
Hence, 2/3 is greater
Feel free to mark this as brainliest :D
how do u get the mean of something
Answer:
to find the mean you add up all the values to get the sum, count the number of values you have in your data set, then divide the sum by the count
Step-by-step explanation:
What is greater 4.58 or 4.563
Answer:
4.58 is greater then 4.563
Answer:
4.58
Step-by-step explanation:
think of it like this: 58 hundredths is larger than 56 hundredths
In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?
Answer:
80/39
Step-by-step explanation:
Please help me. Max and bella are two thirsty dogs after playing fetch they drank water . Rebbi drank 1/3 of a gallon of water babe drank 2/3 of the same gallon of water. How much of the gallon did the dogs drink?
Answer:
the whole gallon
1/3 + 2/3 = 3/3
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
2
35
6
Step-by-step explanation:
14/7=2
5*7=35
42/7=6
Hi! Kan someone fill in the blanks with either addition, subtraction, multiplication, or division?
I had some trouble finding the answer :/
what’s the height of the second cylinder? (the larger one)
!!!PLEASE HELP QUICK
ILL GIVE BRAINLIEST!!!!
Given:
The radius of smaller cylinder is 2 m.
The radius of larger cylinder is 8 m.
The height of smaller cylinder is 14 m.
Both cylinders are similar.
To find:
The height of larger cylinder.
Solution:
It is given that the both cylinders are similar to each other.
We know that the corresponding sides of similar figure are proportional.
Let height of the larger cylinder is [tex]h_2[/tex].
[tex]\dfrac{r_1}{r_2}=\dfrac{h_1}{h_2}[/tex]
[tex]\dfrac{2}{8}=\dfrac{14}{h_2}[/tex]
[tex]\dfrac{1}{4}=\dfrac{14}{h_2}[/tex]
On cross multiplication, we get
[tex]1\times h_2=14\times 4[/tex]
[tex]h_2=56[/tex]
Therefore, the height of the larger cylinder is 56 m.
if two rectangles have the same area what do u know abt the measures of their sides
How many 3/4 cup servings are in 12 cups of cherries?
Answer:
Exactly 16
Step-by-step explanation:
3/4 is .75
12/.75 would be 16
Find the area of the shaded region.
Answer:
60.5
Step-by-step explanation:
HELP!!!
What is the Area!
Answer:
0.375
Step-by-step explanation:
1*3/4*1/2=0.375
Please help I need the answer by today
Use the graph shown to the right to find each of the following.
(a) The x-intercept(s) is/are 1
(Type an ordered pair. Use a comma to separate answers as needed.)
(a) the x-intercept(s), and (b) the zero(s) of the function,
-2
Answer:
the x intercepts of the parabola are -2.
Parvati bought 8 gallons of paint tol a project. The KIMU UI panlil bie WuUym 13 pccu wym
Which person bought the same kind of paint as Parvati?
O A
Brandon bought 5 gallons of paint for $90.
B
Trevor bought 6 gallons of paint for $114.
с
Natasha bought 7 gallons of paint for $143.
D
Danaia bought 9 gallons of paint for $152.
Answer:
(a) Brandon bought 5 gallons of paint for $90.
Step-by-step explanation:
Given
Parvati:
[tex]8\ gallon \to \$144[/tex]
Required
Person with the same paint
First, calculate the unit cost of Parvati's paint
[tex]Unit = \frac{\$144}{8\ gallon}[/tex]
[tex]Unit = \$18/gallon[/tex]
To get the person with the same kind of paint, we simply calculate the unit price.
Whoever has the same unit price as [tex]Unit = \$18/gallon[/tex] have the same kind of paint
Brandon
[tex]Amount = \$90[/tex]
[tex]Size= 5\ gallons[/tex]
So:
[tex]Unit = \frac{Amount}{Size}[/tex]
[tex]Unit = \frac{\$90}{5\ gallons}[/tex]
[tex]Unit = \$18/gallons[/tex]
Brandon has the same paint as Parvati because the unit prices are the same.
What is the vertex of the given quadratic function?
g(x)=3(x – 4)² + 7
============================================================
Explanation:
Compare the given equation to the vertex form y = a(x-h)^2 + k
You'll see that a = 3, h = 4 and k = 7
The vertex is (h,k) = (4,7)
The value of 'a' determines if the parabola opens upward or downward. Since a > 0, it opens upward. This furthermore leads to the vertex being the lowest point on the parabola.
The value of 'a' also determines how vertically stretched or compressed the parabola is.
Answer:
1. The vertex of the graph of the function is (-4, 7)
2. The vertex represents a minimum value
3. The equation represented by the new graph is g(x) = (x + 4)² + 1
Step-by-step explanation:
The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;
g(x) = (x + 4)² + 7
1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;
a = 1, h = -4, and k = 7
The vertex of the graph of the function, (h, k) = (-4, 7)
2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value
3. Shifting the graph 6 units down from where it is now will give;
The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)
h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c
c = k + a·h²
Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23
After the shifting the graph 6 units down, c = 23 - 6 = 17
∴ k = 1 = -a·(-4)² + 17
∴ -16/16 = -1 = -a
a = 1
Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.