Answer:
[tex]\bold{\frac{3}{16} }[/tex]
Explanation:
1 / 16 (3)
= (1 / 16) (3 / 1)
= (1)(3) / (16)(1)
= 3 / 16
Find the sum: 34∑n=1(-17+8k)
Solve the simultaneous equations
7x + 2y = 22
3x + 4y = 11
I used Elimination method
x =3
y = 1/10
Hope it helps
What is the solution to the inequality 30 < 2x + 16
Step-by-step explanation:
30 < 2x + 16
30 - 16 < 2x
14 < 2x
14/2 < x
7 < x
or
x > 7
#CMIIW
Answer: x > 7
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 2x by subtracting 16 from both sides.
That leaves you with 14 < 2x.
To get x by itself, divide both sides by 2 and 7 < x.
I like to put my variable on the left side but if we do that,
we must switch the direction of the inequality sign.
So 7 < x is the same as x > 7.
However, 7 < x is still the right answer, just a matter of preference.
simplify (3 to the 6th power) to the 18th power??
Answer:
[tex]3^{108}[/tex]
Step-by-step explanation:
[tex](3^6)^{18}\\\text {Apply "Power of a Power" Rule: } (a^x)^y = a^{x*y}\\6*18 =108\\\text {Therefore:}\\\boxed {(3^6)^{18} = 3^{108}}[/tex]
Answer:
3 to the 6th power is 729.
3 to the 18th power is 387420489
Step-by-step explanation:
You just multiply. Sorry I don't know how to explain I just know how to do it.
Small box: 162 inches. Large box 1: 10476 inches. Large box 2: 9102 inches Your friend uses division to determine that Large Box 1 can hold 64 small boxes and Large Box 2 can hold 56 small boxes. Explain the error in your friend's reasoning. How many small boxes can each large box hold?
Answer: Large box 1 can hold 64.67 inches; Large box 2 can hold 56.19 inches.
Step-by-step explanation:
Small box: 162 inches.
Large box 1: 10476 inches.
Large box 2: 9102 inches
Number of small box that can be contained in large box 1= 10476/162 = 64.67
Number of small box that can be contained in large box 2 = 9102/162 = 56.19
If my friend uses division to determine and said Large Box 1 can hold 64 small boxes and Large box 2 can hold 56 small boxes. The error in his reasoning was that he didn't approximated to whole number. He should have written the figure completely or to 2 or 3 decimal places.
if you score 30 points for five games then how many points do you ern per game
Answer:
6 because 30 / 5 is 6
Step-by-step explanation:
Which of the following is equal to tan(A)?
Answer: cot B
Step-by-step explanation: if i am right mark me as brainliest
whats the distance between the following points? -9,8 -3,2
So the right answer is √314 units.
Look at the attached picture
Hope it will help you
Good luck on your assignment
I searched it up but didn’t get the right help so now I’m asking
It should be A: 1 ounce of hamburger patty has approximately 3/17 grams of protein and 1 ounce of fish has 3/16 grams of protein.
According to the key of a particular park map, every 8 inches on the map represents 3 miles of trails in the park. How many inches on the map represents 9 miles on the park trails
Answer:
24 inches represents 9 miles in the map
Step-by-step explanation:
To solve this problem you take into account that 8 inches represents 3 miles and that x represent the number of inches for 9 miles. That is:
8 ------- 3
x ------- 9
This is simply a rule of three, then you calculate:
[tex]x=\frac{8\ x\ 9}{3}=\frac{72}{3}=24[/tex]
Hence, 24 inches represents 9 miles in the map
Combine like terms to create an equivalent expression. -1/2(-3y+10)
Answer:
3/2y -5
Step-by-step explanation:
-1/2 (-3y+10)
Distribute
-1/2* -3y + -1/2*10
3/2y -5
Answer:
3/2y - 5
Step-by-step explanation:
To do this question, we will need to use the distributive property. Multiplying the number outside of the terms in the parenthesis gives us:
-1/2(-3y+10) --> 3/2y - 5
Please help will mark brainliest
Answer:
a) 3
b) -3
Step-by-step explanation:
Absolute value makes sure that whatever is in the lines will equal a positive.
Answer:
[tex]\left|4-7\right|\\\mathrm{Subtract\:the\:numbers:}\:4-7=-3\\=\left|-3\right|\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\=3[/tex]
[tex]\left|4\right|-7\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\left|4\right|=4\\=4-7\\Simplify\\=-3[/tex]
Step-by-step explanation:
numbers that have |x| around the numbers means its an absolute number, making it positive
Vivian red 14 fewer pages than she was assigned to read she read 60 Pages write and solve an equation to find how many pages P Vivian was assigned to read
Answer:
P = 74
Step-by-step explanation:
14 + 60 = 74
Which is more, 37 quarts or 10 gallons?
Answer:
10 gallons is more
Step-by-step explanation:
There are 4 quarts in a gallon, so divide your number of quarts by 4 to determine the number of gallons:
37/4 = 9.25 gallons
10 gallons = 10 gallons
The equation below model the numbers of two portable music players (y) and days after both players were introduced (x).
Music player A: y=191x-32 and music player B: y=-x^2+200x+20
1.on what day(s) did the company sell the same number of each player ?
2.how many players were sold on THAT day (use your answer from #1)
Answer:
a. On the 13th day
b. 2,451 players we’re sold on that day
Step-by-step explanation:
a. The day in which the company sold the same number of players can be calculated by equating the values of y that we have ;
y = 191x-32 and y = -x^2 + 200x + 20
Equating both, we have;
191x-32 = -x^2 + 200x + 20
x^2 -200x + 191x-20-32 = 0
x^2-9x-52 = 0
x^2-13x + 4x -52 = 0
x(x-13)+4(x-13) = 0
(x-13)(x+4) = 0
x = 13 or -4
as days cannot be negative we choose only x = 13
This means the company sold equal numbers of players on the 13th day
b. To get the number of players sold on that day, we choose any of the y equation and substitute x = 13
Thus, we have for y = 191x -32; 191(13) - 32 = 2,451 players
A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3 child tickets for a total of $83. What was the price of each kind of ticket?
Answer:
work is shown and pictured
Create a number pattern involving two operations. Explain your pattern.
PLEASE HELP THE ASSIGNMENT IS DUE IN AN HOUR
Answer:
sorry if this is too late
1 x 2 + 1 = 3
3 x 2 + 1 = 7
7 x 2 + 1 = 15
15 x 2 + 1 = 31
31 x 2 + 1 = 63
Step-by-step explanation:
12. A reindeer runs 20 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
Use the drop-down menu to complete the answer.
The reindeer runs
miles in one hour.
1)3 1/4
2)6 3/4
3)12 1/4
4)60 3/4
Answer:
6.6 repeating or 6 and 2/3
Step-by-step explanation:
you would have to do 20 divided by 3 to find the unit rate.
20 / 3 = 6.6 repeating or 6 and 2/3
PLease help me!
Jacob has $7,777 in a savings account. The interest rate is 14%, compounded annually.
To the nearest cent, how much will he have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
Total = Principal * (1 + rate )^ years
Total = 7,777 * 1.14^2
Total = 7,777 * 1.2996
Total = 10,106.99
Step-by-step explanation:
What is the exponential function for the graph above . Form is p(t)=a•b^t
Answer:
5(2^x)
Step-by-step explanation:
Write an equation of the line that passes through (2,−3) and is perpendicular to the line y=−2x−3.
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 3 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = 1 + c ⇒ c = - 3 - 1 = - 4
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
An equation of the line that passes through points (2,−3) and is perpendicular to the line is equal to [tex]y=\frac{1}{2} x-4[/tex]
Given the following equation:
[tex]y=-2x-3[/tex]Points (x, y) = (2, -3)First of all, we would determine the slope of the given equation:
Slope, [tex]m_1[/tex] = -2
In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).
Mathematically, this is given by;
[tex]m_1 \times m_2 = -1[/tex]
Substituting the value of [tex]m_1[/tex], we have:
[tex]m_1 \times m_2 = -1\\\\-2 \times m_2 = -1\\\\m_2 = \frac{1}{2}[/tex]
The standard form of an equation of line is given by the formula;
[tex]y -y_1 =m(x-x_1)[/tex]
Where:
x and y are the points.m is the slope.Substituting the points into the formula, we have;
[tex]y-y_1 =m(x-x_1)\\\\y-[-3] =\frac{1}{2} (x-2)\\\\y+3=\frac{1}{2} x -1\\\\y=\frac{1}{2} x-1 -3\\\\y=\frac{1}{2} x-4[/tex]
Read more: https://brainly.com/question/14096662
The roots of a quadratic equation are (1,0) and (-5,0). What is the axis of symmetry?
Answer:
Step-by-step explanation:
The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.
The axis of symmetry is x = -2.
The 'halfway' value is also the 'average' of 1 and -5: -4/2, or -2.
The axis of symmetry is x = -2.
Um criador de peixes decidiu construir um tanque para criar uma nova espécie de peixe, porém essa precisa de um tanque muito maior do que ele costuma trabalhar e seu formato precisa ser de um paralelepípedo. Sabendo disso, pediu a um engenheiro que construísse um tanque com 50 m³ de volume, (x + 3) metros de comprimento, a largura x metros e a altura de 5 metros. Qual o comprimento e a largura desse tanque, respectivamente?
Answer:
length = 5 meters
width = 2 meters
Step-by-step explanation:
The volume of parallelepiped is given by:
Volume = length * width * height.
If the volume is 50 m3, the length is x + 3, the width is x and the height is 5 m, we can use the volume equation to find the value of x:
50 = (x+3) * x * 5
10 = (x+3) * x
x^2 + 3x - 10 = 0
Using Bhaskara's formula, we have:
Delta = 3^2 + 4*10 = 49
sqrt(Delta) = 7
x1 = (-3 + 7)/2 = 2
x2 = (-3 - 7)/2 = -5 (This value would cause negative measurements, so it is not a valid answer)
So with the value of x = 2, we can find the length and the width of the tank:
length = x + 3 = 2 + 3 = 5 meters
width = x = 2 meters
can i not have the interactive ads
can someone help me?, I had the notes in my notebook but the notebook got full, so I threw it away not thinking I was gonna need these notes again ;(
Step-by-step explanation:
hope this helps you
..................
Can someone please tell me What’s 2=m/2 -7 ?
Answer:
Step-by-step explanation:
2 = m / 2 - 7
2 + 7 = m / 2
9 = m / 2
cross multiply
m = 9 * 2
Therefore m = 18
Hope u understood and it helped.
A curve is described by the following parametric equations:
x = 4-t
y = t^2 -2
Answer:
Step-by-step explanation:
Given
[tex]x=4-t[/tex]
and [tex]y=t^2-2\quad \ldots(i)[/tex]
So, [tex]t=4-x[/tex]
Substitute the value of [tex]t[/tex] in [tex](i)[/tex]
[tex]y=(4-x)^2-2[/tex]
[tex]y+2=(4-x)^2[/tex]
So it represent a parabola shown in the figure
Find m∠C to the nearest degree for triangle ABC shown below.
A. 23
B. 47
C. 67
D. 76
Answer:
sinC = 12/13
C = [tex]sin^{-1}[/tex]12/13
C = 67⁰
Consider the first five terms of the sequence 3, 15, 75, 375, 1875, … If the sequence defines a function, what is a reasonable domain and range of the function?
Answer:
A reasonable domain is all natural numbers.Step-by-step explanation:
Notice that the sequence begins with 3, and it's an infinite sequence, that's the meaning of the three points at the end.
So, a reasonable domain to this sequence, as function, it's all real numbers which follows the rule [tex]f(x)=3(5)^{x-1}[/tex]. In other words, the given sequence represents the range of the function, and the domain is defined by the number of terms, where the first term is 3, the second term is 15, and so on.
Therefore, a reasonable domain is all natural numbers.
Each year, a school committee sells donated cakes to raise money for a trip. The table shows the number of cakes sold each year for 5 years
Which measure of center best summarizes the number of cakes sold each year, and what is the value of the chosen measure?
Move a word and a value to the lines to complete the sentences.
The best measure of center for this data is the ____.
which has a value of ______.
mean
median
mode
21
22
23
Answer:
The best measure of center for this data is the Mode
______
which has a value of 21
____
Step-by-step explanation:
The best measure of center for this data is 21 that is mode or median and this can be determined by checking the deviation from the lowest number and the highest number.
Given :
Table-
Year 2011 2012 2013 2014 2015
Number of Cakes Sold 21 28 19 26 21
First determine the mean, mode, and median of the given data.
[tex]\rm Mean = \dfrac{Sum\; of \;the \;terms}{Number\;of \; terms}[/tex]
[tex]\rm Mean = \dfrac{21+28+19+26+21}{5}[/tex]
[tex]\rm Mean = \dfrac{115}{5}[/tex]
Mean = 23
The median of the given data is 21.
The mode of the given data is 21.
Now, check the deviation from the lowest number and the highest number. The best measure of center for this data is 21.
For more information, refer to the link given below:
https://brainly.com/question/1957976