457x64-(163+208x45) + ( 2820÷20)-1802
Answer:
18064
Step-by-step explanation:
these equations are always in this order:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".
The slope of the line that passes through the points (0,3) and (5,13) is
Answer: The slope is 2
Step-by-step explanation:
The slope is the Rise (the change in y) over the Run (the change in x).
We can calculate the Rise and Run from the two given points:
(0.3) and (5,13)
Rise = (13 - 3) = 10
Run = (5 - 0) = 5
Rise/Run = 10/5 = 2: the slope is 2.
The equation for this line is y = 2x + b. The y-intercept, b [from the general form y=mx+b (where m is the slope)] is the value of y when x=0. The point (0,3) says y=3 when x=0, so b = 3.
y = 2x + 3.
8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)
Step-by-step explanation:
sorry that's all i know hehe
5у2х 1.5y
If you could do this asap ty
Answer:
[tex]2.5y^{3}x[/tex]
Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.
1. 0.3, 0.9, 1.5, 2.1
2. 1, 8, 27, 64
Step-by-step explanation:
an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.
1. is an arithmetic sequence. the constant is 0.6.
0.3 + 0.6 = 0.9
0.9 + 0.6 = 1.5
1.5 + 0.6 = 2.1
...
so, we have
a1 = 0.3
an = an-1 + 0.6
and
an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6
2. is neither an arithmetic nor a geometric sequence.
it is simply
an = n³
At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.
Step-by-step explanation:
168/3 = 56
so 112 sodas
56 hotdogs
Several world-class swimmers have attempted. to swim the English Channel between France and Great Britain (570 km long). Since even the best swimmers can swim only about eight kilometers per hour, about how many hours would expect it to take an expert swimmers to swim the channel?
Answer:
4hours
um...
57×10-== 4 hours
What is the quotient of 9198 and 14?
Answer:
656.36
Step-by-step explanation:
you just divide then have to round the decimal point to 36
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°
Answer:
115
Step-by-step explanation:
[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]
Stacy and Jessica own a small business. Stacy, working alone can complete a job in 8 hours. Jessica can complete the same job in 9 hours. How long would it take them to complete the job working together?
Answer:
17 hour
Step-by-step explanation:
8+9=17
What is the equation of the line that passes through the point (-6,-2)and has a slope of 1/6
Answer:
y = 1/6x -1
Step-by-step explanation:
Use point-slope form: y - y₁ = m (x - x₁)
y - (-2) = 1/6 (x - (-6))
y + 2 = 1/6x + 1
y = 1/6x - 1
Answer:
[tex]y=\frac{1}{6}x-1[/tex]
Step-by-step explanation:
According to,
y = mx + c
They have already given the slope of the line.
That means they've given value for m
So,
m = [tex]\frac{1}{6}[/tex]
And now we have to find the value of c ( the intercept on the y axis) using (-6,-2)
Here,
( -6 , -2 )
↑ ↑
( x , y )
Let us find the c now.
y = mx + c
[tex]-2 =\frac{1}{6} *-6+c\\-2=\frac{-6}{6} +c\\-2=-1+c\\-2+1=c\\-1=c[/tex]
Now let's write the equation of the line like this
y = mx+ c
[tex]y=\frac{1}{6}x-1[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Which relation is not a function?
A. {(2, 4), (1, 2), (0,0), (-1,2), (-2,4)}
B. {(2,4), (1, 1), (0,0), (-1, 1), (-2,4)}
C. {(2, 2), (1, 1), (0,0), (-1,1), (-2, 2)}
D. {(2, 2), (1, 1), (0,0), (1,-1), (2,-2)}
Answer: Choice D
Explanation:
We have the two points (2,2) and (2,-2) which have a repeated x coordinate. This is not allowed if we wanted a function. A function must have any x input lead to exactly one and only one output (assuming the input is in the domain).
Answer:
the correct is C. because they are lines going to 2.
What are the coordinates of the vertex for the function shown below ?
Answer:
Step-by-step explanation:
We can answer this in two ways: Differentiation and Graphing.
Differentitate:
The first derivative of a function yields a function that provides the slope for any point on the line of the original function. The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.
f(x) = 3(x-1)^2 + 4
f(x) = 3(x-1)(x-1) + 4
f(x) = 3(x^2 - 2x + 1) + 4
f(x) = 3x^2 - 6x + 7
f'(x) = 6x -6
Set this = 0 and find x:
0 = 6x -6
x = 1
The value of y when x=1 in the original equation is:
f(1) = 3(1-1)^2 + 4
y = 4
The vertex is (1,4)
Graph:
You can use DESMOS to plot the function. The result is attached. Look for the vertex and read the coordinates. (1,4) seems to work.
Tute Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $ Submit
Answer:
$68.53. 67%
Step-by-step explanation:
$68. 58 I think I'm not sure
What is 3/4 multiplied by 3
Find the value that makes the equation below true:
6r+7 = 13+7r
help asap please
question is below
Step-by-step explanation:
only the second one fulfills the rule that every value of x must have exactly 1 assigned result value (y).
the first option has two different result values (3 and 5) for x = 1.
the third has 2 different result values (3 and 4) for x = 2.
the fourth has 2 different result values (2 and 4) for x = 2, and also 2 different result values (0 and 2) for x = 0.
The first three terms of an arithmetic sequence are as follows.
52, 44, 36
Find the next two terms of this sequence.
Answer: 8
Step-by-step explanation:
Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}
Answer:
x < -7
Step-by-step explanation:
Subtract 2 on both sides to get x < -7.
Hope this helps :)
b)
Solve the system by substitution.
2x – 6y = –24
x = 5y – 22
Answer:
Solution: 2x-6y divided by -24
2x=-24(-6y)
2x=6y-24
x=(6y-24) divided by 2
x=(6y-24)x 1/2
x=6y x 1/2 -24 x 1/2
x=3y-24x1/2
x=3y-12
HELP ASAP PLS ….. THIS IS SO CONFUSING
Answer:
-1/5
Step-by-step explanation:
-0.2
-2/10
-1/5
So just move -1/5 back from 0 .
answer the question in the picture
Answer:
A and D
Step-by-step explanation:
Rational numbers that can be written as a fraction of two integers (without a denominator of 0).
The other three cannot be written as a fraction or two integers.
I need help with this
What is (2x-7y)^2 simplified
Answer:
4x² - 28xy + 49y²
Step-by-step explanation:
(2x - 7y)²
= (2x - 7yy)(2x - 7y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis
= 4x² - 14xy - 14xy + 49y² ← collect like terms
= 4x² - 28xy + 49y²
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
The parameters are given as:
[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005
[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines
To model a population, we make use of the following exponential function
[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]
Where P is the current population in t years.
So, we have:
[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]
When the population reaches half of the initial population, then P = 5000.
So, we have:
[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]
[tex]\mathbf{0.5 = (0.997)^t}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]
Rewrite the equation as
[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]
Make t the subject
[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]
[tex]\mathbf{t = 231}[/tex]
This means that the population will halve its initial population in 231 years.
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
Read more about population functions at:
https://brainly.com/question/25704773
Write each number without exponent 6.453 x 10^-3
Answer:
.006453
Step-by-step explanation:
6.453 x 10^-3
Move the decimal 3 places to the left since the exponent is negative
006.453
.006453
14a + 2 =
Please help
Answer: ( 2 x 7 ) a + 2
Step-by-step explanation:
4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept
B. y-intercept
C. Slope
Answer:
[tex] \sqrt[6]{729} [/tex]
10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)
Answer:
Angle K = 70degrees
Angle L = 68degrees
Step-by-step explanation:
Angle in a triangle add up to 180degrees
Figure out triangle the small triangle to the left side of the paper.
42+68+x=180
110+x=180
X=70
Angle K = 70degrees
Knowing that figure for angle L
70+42+x=180
112+x=180
X=68
Angle L = 68degrees
Solve for the unknown side of each right triangle
Answer:
x = 4.4 cm
Step-by-step explanation:
Since this is a right triangle, the Pythagorean Theorem applies: a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.
Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:
x^2 = (6.9 m)^2 - (5.3 m)^2, or
x^2 = 47.61 - 28.09 = 19.52
Then the length, x, of the unknown side is x = +√19.52 m, or
x = 4.4 cm