Answer:
y=-1/6x-2
Step-by-step explanation:
Write the expression (−7)·(−7)·5·5·5·5 using exponents.
The expression (-7)·(-7)·5·5·5·5 can be written using exponents as: [tex](-7)^2 * 5^4[/tex].This is because (-7)·(-7) is equal to [tex](-7)^2[/tex], and 5·5·5·5 is equal to [tex]5^4[/tex].Writing expressions using exponents is a way to represent repeated multiplication in a more concise form.
Exponents indicate how many times a base number is multiplied by itself. Here's how you can write expressions using exponents:
Base: This is the number that you're going to multiply repeatedly.
Exponent: This is the small number written above and to the right of the base. It represents how many times the base is multiplied by itself.
Some key points to remember:
Multiplication with the same base: When you have the same base number multiplied multiple times, you can use an exponent to represent it more compactly.
Negative Exponents: Negative exponents indicate that the base is in the denominator. For example, x^-3 is equivalent to 1/x^3.
Fractional Exponents: Fractional exponents indicate roots. For example, x^(1/2) is the square root of x.
Operations with Exponents: When you have expressions with exponents and you're performing operations like addition, subtraction, multiplication, or division, you need to follow the rules of exponentiation.
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Can anyone help me ASAP!!!
Answer:
30cm
Step-by-step explanation:
15 x 2 = 30
Since it's half of a circle 15 is half of the full term.
Half and a half equal a whole, to calculate the area of the semi-circle, you would want to multiply by 2.
Find the common difference of the arithmetic sequence –9,–13, -17,...
Answer:
-4
Step-by-step explanation:
t2 - t1
-13 - (-9)
-13 + 9
= -4
Show that a to the 6th an be written as a perfect square and as a perfect cube.
Answer:
Step-by-step explanation:
a^6 = a * a * a * a * a * a You can break this into groups of 2 and groups of three.
Groups of 3
a^6 = a * a * a * a * a * a
what that means is that you have 2 groups of 3 which can be written as (a^3)^2 which means that this number is a perfect square.
Groups of 2
a^6 = a * a * a * a * a * a
What this means is that you have (a^2)^3 which is three groups of 2 members. The answer is that you have a perfect cube each member of which is a^2
Another strategy for graphing a piecewise function is to use a table of values. The table below has a column for the input values x and for each piece of the function. The shaded cells indicate where the pieces do not define the function for those input values and so you do not need to find those values. You will need to decide which piece is used to define the function when x=3
Answer:
Step-by-step explanation:
Q&A. Can more than one formula from a piecewise function be applied to a value in the domain? No. Each value corresponds to one equation in a piecewise formula.
A 14-meter ladder is placed on a 23-meter wall. How far is the foot of the ladder from the base of the wall?
Answer:
9
Step-by-step explanation:
23 - 14 = 9
Chow,...!
HELP ASAP ASAP PLEASE PLEASE you can use a calculator!!!!
Answer:
24: 1/2 of The Coconut
Step-by-step explanation:
3/10's = 3
1/5's = 2
3/10's + 1/5's = 5 * 2 = 10
the product of two factors is 24 .the difference between the 2 factors is 10
Find the x-intercept and y-intercept for the graph of 27x - 18y = 54
A.
x-intercept = 0.5, y-intercept = 0.3
B.
x-intercept = 2, y-intercept = -3
C.
x-intercept = 3, y-intercept = -2
D.
x-intercept = 4, y-intercept = 3
Answer:
x-int=0.5 & y-int=3.4 you option are wrong
Can you please help me
Answer:
the answer is 320
Step-by-step explanation:
144 divided by 0.45 equals 320
and for checking my answer 320 times 0.45 equals 144
so 320 is your answer i hope this helps
Sugar Shack Cookies had 5 types of cookies in its display case. The number of each cookie sold during day one is recorded. Find the percent of chocolate chip and oatmeal raisin cookies sold.
Answer: 40%
Step-by-step explanation:
Chocolate chip and oatmeal cookies: 9+35 = 44
Total cookies = 9+21+15+35+30 = 110
What percent is 44 of 110 (%/100 = is/of)
x/100 = 44/110 (cross multiplication)
4400/110 = 40
The profit that a company earns is shown by the equation graphed below. What is the y-intercept of the profit graph?
(-2, 0)
(0, -2)
(0, 0)
(2, 0)
Use the graph to determine a. The function's domain; b. The functions range; c. The x-intercepts, if any; d. The y-intercept, if any; and e. The missing function values, indicated by question marks, below. F(-2)=? F(2)=?
Answer:
(a) Domain is [tex](-\infty,+\infty)[/tex] (b) Range is [tex](-\infty,+1][/tex] (c) x intercepts -1 and +1 (d) y-intercept is +1
(e)
[tex]F(-2)=-2\\F(2)=-2[/tex]
Step-by-step explanation:
(a) The function's domain:
From the given graph, it is clear that the value of function exist in the interval from [tex](-\infty,+\infty)[/tex].
Therefore, the domain of the function is [tex](-\infty,+\infty)[/tex].
(b) The function's range:
Clearly from the graph that is given in the question, the highest value of y coordinate is +1 and its lowest value is [tex]-\infty[/tex].
Hence, the range of the function is [tex](-\infty,+1][/tex]
(c) The x-intercepts:
The curve intersects the x-axis at -1 and +1, therefore the intercepts of the curve is -1 and +1.
(d) The y-intercept:
The curve intersect the y-axis at y=1, therefore y-intercept is +1.
(e) Missing Values:
Clearly from graph:
[tex]F(-2)=-2\\F(2)=-2[/tex]
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Utilizing the graph, it is found that:
a) The domain of the function is all real values.
b) The range is given by: [tex](-\infty, 1][/tex]
c) The x-intercepts are [tex]x = \pm 1[/tex]
d) The y-intercept is [tex]y = 1[/tex]
e) [tex]F(-2) = F(2) = -3[/tex]
-----------------------
Item a:
The domain of a function is given by all possible values of the input.On the graph, it is the values assumed by the x-axis, the horizontal axis.On the graph, the function is defined for all values on the horizontal axis, thus, the domain is all real values.-----------------------
Item b:
The range of a function is given by all possible values of the output.On the graph, it is the values assumed by the y-axis, the vertical axis.On the graph, the function assumes values less than 1, thus, the range is: [tex](-\infty, 1][/tex]-----------------------
Item c:
A x-intercept is given by the value of x when y = 0.On the graph, it is the values of x when it crosses the horizontal axis.Looking at the graph, it is found that these values are [tex]x = \pm 1[/tex]-----------------------
Item d:
A y-intercept is given by the value of y when x = 0.On the graph, it is the values of y when it crosses the vertical axis.Looking at the graph, it is found that this value is [tex]y = 1[/tex]-----------------------
Item e:
[tex]F(-2) = F(2)[/tex] are given by the values of y when x = -2 and 2, that is, the vertical axis when the horizontal axis is -2 and 2.Looking at the graph, we find that in both cases, y = -3, thus [tex]F(-2) = F(2) = 3[/tex]A similar problem is given at https://brainly.com/question/10891721
I need help with this please. Evaluate 5a+ 4b2 when a = 7 and b = 6
Pls help me in this too
Answer:
18cm
Step-by-step explanation:
[tex]area \: of \: rhombus = \frac{1}{2} \times \: d1 \times d2 \\ 216 = \frac{1}{2} \times 24 \times d2 \\ d2 = \frac{216 \times 2}{24} \\ = 18cm[/tex]
geometry!!
help me!!!
Answer:
1. a=85.8 c=89.2
2. x=29.7 8x=2937. 3
Step-by-step explanation:
2. 8x+x+27°+66°=360°
8x+x=360°-66°-27°
9x=267 >Then divide both sides with 9
x=29,666666...
=8X
=8 (29,66666...)
=237,333...
1. 6X+4X+32°=180°
10X=180°-32
10X=148° >divide both sides with 10
X=14.8
A=6x c=4x+32
=6(14.8) =4(14.8)+32
= 88.8 =91.2
say u have 3 friends coming to a party each get 8 cookies and each box has 4 cookies how man boxes would u have to buy
Answer:
3 * (8/4) = 6
each person needs 8 cookies at 4 per box
you need 8/4 boxes per friend
you have three friends so 3 * (8/4)
Step-by-step explanation:
(8.11×107)–(4.3×107)
Step-by-step explanation:
(8.11×107)–(4.3×107)
According to the concept of BODMAS,
At first we should solve the trems in the bracket,
867.77-460.1
Now, we should subtract them,
407.67
find the endpoint if A (5,-2) and the midpoint is B (3,6), what is C
Answer:
C = (1, 14 )
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.
Find the average of endpoints and equate to coordinates of midpoint
A (5, - 2 ) , let C = (x, y ) , then
[tex]\frac{x+5}{2}[/tex] = 3 ( multiply both sides by 2 )
x + 5 = 6 ( subtract 5 from both sides )
x = 1
and
[tex]\frac{y-2}{2}[/tex] = 6 ( multiply both sides by 2 )
y - 2 = 12 ( add 2 to both sides )
y = 14
Coordinates of C = (1, 14 )
What is the solution to the following system?
X+2y+z=9
X-y+3z=13
2z=10
Answer: x = 0; y = 2; z = 5
Step-by-step explanation:
x+2y+z=9
x-y+3z=13
2z=10
==
Start with the last equation: 2z = 10, therefore z = 5 [easy]
Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:
x-y+3z = 13
x - y +3*5 = 13
x = y-2
Now use the values for x [(y-2)] and y [5] in the first equation:
X+2y+z=9
(y-2) +2y + 5 = 9
3y +3 = 9
3y = 6
y = 2
Now that we have y [2] and z [5], let's use the first equation to solve for x:
x+2y+z=9
x + 4 + 5 = 9
x + 9 = 9
x = 0
====
Try the three values (x=0, y=2, and z=5) in any of the formulas. The result should/will equal the number shown.
Solve for v in terms of s, t, and u.
S = U-t + V
V = what??
Answer:
[tex]v=s-u+t[/tex]
Step-by-step explanation:
Hi there!
[tex]s=u-t+v[/tex]
Our goal is to isolate v on one side of the equal sign.
Subtract u from both sides:
[tex]s-u=u-t+v-u\\s-u=-t+v[/tex]
Add t to both sides to isolate v:
[tex]s-u+t=-t+v+t\\s-u+t=v\\v=s-u+t[/tex]
I hope this helps!
Solve using pemdas 3 plus 7 times 6 divided by 3
Answer:
17
Step-by-step explanation:
3 + 7 * 6 / 3
PEMDAS says we multiply and add before adding and subtracting so we multiply first (going from left to right)
3 + 42 / 3
Then we divide
3 + 14 = 17
what number can go into 2470,121 and 45
Answer:
Step-by-step explanation:
All of these numbers can be divided by 2, 3, 5, 7, 11, 13...
There is no whole number if you want to divide each number.
121 only goes into 1, 11, and 121. No other numbers have 11
45/2 = 22.5
45/3 = 15
45/5 = 9
2470/2 = 1235
2470/3 = 823.33333...
2470/5 = 494
121/2 = 60.5
121/3 = 40.33333...
121/5 = 24.2
2x-7>3
Two step inequalities
A recording of the current traffic conditions lasts
4/5 minute. If the recording plays continuously, how many times could the recording be played in 1 hour?
Answer:75
Step-by-step explanation:
It plays 75
if a + b + c is cast 20 and a + b is equal to 14 , then c is what by process
Answer:
6
Step-by-step explanation:
[tex]a + b + c = 20[/tex]
[tex]a + b = 14(i)[/tex]
Putting value (a + b) in the above equation
[tex]14 + c = 20[/tex]
[tex]c = 20 - 14[/tex]
[tex]c = 6[/tex]
GEOMETRYYYYYYYY!!!!!!!!
Answer:
[tex] \angle FGH = \angle FGI + \angle IGH \\ 82 = (6x + 10) + (5x - 5)[/tex]
collect like terms:
[tex]82 = (6x + 5x) + (10 - 5) \\ 82 = 11x + 5[/tex]
subtract 5 from both sides:
[tex]82 - 5 = (11x + 5) - 5 \\ 77 = 11x[/tex]
divide either sides by 11 [divide rule of equality]:
[tex] \frac{11x}{11} = \frac{77}{11} \\ \\ { \boxed{ \boxed{x = 7}}}[/tex]
Please solve correctly and I will mark brainliest
The angles ABM and MBC sum to the measure of angle ABC. Let's create an equation to model the problem.
ABM + MBC = ABC
Let's plug our values into the variables.
ABM + 150 = 171
Let's solve for ABM. Subtract 150 from both sides.
ABM = 21
Answer:
∠ ABM = 21°
Step-by-step explanation:
∠ ABM + ∠ MBC = ∠ ABC , that is
∠ ABM + 150° = 171° ( subtract 150° from both sides )
∠ ABM = 21°
A submarine is located
at 20 feet below sea
level. It rises 5 feet, but
then descends 18 feet.
What is the depth of
the submarine?
Step-by-step explanation:
Time taken to travel 20 m = 1 min
Time taken to travel 360m = x min
A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour. Write and solve an equation to find the number of hours of labor spent repairing the car
Answer:
( t - p ) / 85x = h
( t - 265.95 ) / 85x = h
648.45 - 265.95 / 85x = 3.32h
h = 3.32
Therefore ( t - p ) / 85x = 3.32
Step-by-step explanation:
648.45 - 265.95
282.50 /85
= 3.32 hrs
Finding equation to find hours can be shown as
( t - p ) / 85x = 3.32
How we found equation to find total
Parts = 19 x 14 - 5/100 = 266- 0.05
648.45 - 265.95 = 282.5
282.5/85 = 3.323 near to 3,233529
Labour = 85x = 17 (5 + x)
Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85
Equation = ( 85x x 3 1/3) + 265 - 19/20 = t
The repair bill is an illustration of a linear equation. The equation that represents the scenario is: [tex]648.45= 265.95+ 85\times x[/tex]
And the solution (i.e. number of hours) is: 4.5 hours
Given that:
[tex]Bill = 648.45[/tex]
[tex]Parts = 265.95[/tex]
[tex]Labour = \$85[/tex] per hour
Let the number of hours spent be x
So, the equation is:
[tex]Bill = Parts + Labour \times x[/tex]
This gives;
[tex]648.45= 265.95+ 85\times x[/tex]
Collect like terms
[tex]648.45-265.95= 85\times x[/tex]
[tex]382.5= 85\times x[/tex]
Divide both sides by 85
[tex]4.5 =x[/tex]
[tex]x = 4.5[/tex]
Hence, the equation is:
[tex]648.45= 265.95+ 85\times x[/tex]
And the solution (i.e. number of hours) is: 4.5 hours
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