Answer: 320x + 256
Step-by-step explanation:
what is the missing measurement (w) for the poster of spongebob.
To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)
This is:
[tex]\frac{12\operatorname{cm}}{20\operatorname{cm}}=\frac{w}{36\operatorname{cm}}[/tex]Chad doesnt have any money, but he owes his sister $15, owes his brother $9 and owes his friend $24. What integer could be used to represent the amount of money chad has?
Answer:
- 48.00
Step-by-step explanation:
Add all the debt up.
Answer: -48
Step-by-Step Explanation:
Money that Chad owes his Sister = $15
Money that Chad owes his Brother = $9
Money that Chad owes his Friend = $24
Total Money he owes = 15 + 9 + 24 = $48
Hence, Total Money he has = -48 (since he doesn't have any money)
Find the value of x.
(8x - 11)
5x°
(2x+6)°
Answer: x=37/3
Step-by-step explanation:
8x-11+5x+2x+6=180 ==> three angles of a triangle add up to 180 degrees
8x+5x+2x-11+6=180
13x+2x-5=180
15x-5=180
15x=185
x=185/15
x=37/3
I have a graph with the question. If the parent function is y= 2 to the power of x plus 2, which is the function of the graph
The parent function of the graph is
[tex]y=2^x[/tex]The function of the grapg will be
[tex]y=2^{x\text{ + a}}\text{ + b}[/tex]at x equals infinity y equals 1
Therefore
[tex]\begin{gathered} \text{x =}\infty\text{ then y = 1} \\ \text{this implies} \\ b\text{ = 1} \end{gathered}[/tex]Therefore the function will now be
[tex]y=2^{x\text{ + a}}\text{ + 1}[/tex]from the graph
x = 2 when y = 2
Therefore,
[tex]\begin{gathered} 2=2^{2\text{ + a}}\text{ + 1} \\ 2-1=2^{2\text{ + a}} \\ 1=2^{2\text{ + a}} \\ \text{recall 1 = 2}^0 \\ 2^0=2^{2\text{ + a}} \\ 2\text{ + a = 0} \\ a\text{ = - 2} \end{gathered}[/tex]Therefore, the function is
[tex]y=2^{x\text{ - 2}}\text{ + 1}[/tex]Find the slope of the line that passes through (4,2) and (2,1)
Given
Points (4,2) and (2,1)
Find
Slope of the line
Explanation
Slope of line is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]so ,
[tex]\begin{gathered} m=\frac{1-2}{2-4} \\ \\ m=-\frac{1}{-2} \\ \\ m=\frac{1}{2} \end{gathered}[/tex]Final Answer
Hence , the slope of line is m = 1/2
find the volume of the rectangular prism. need an integer or decimal.
We will have the following:
[tex]V=(\frac{9ft\ast9ft}{2})(12ft)\Rightarrow V=486ft^3[/tex]So, the volume is 486 ft^3.
Sandra purchased $1,200 worth of electronic equipment on her new credit card, with an annual interest rate of 14.99%. If she has no other charges on the card and does not pay off the balance at the end of the month, how much money will she owe the credit card company after 1 month? Estimate the interest using the monthly periodic rate.
Given data:
The given amount of equipment purchased by the Sandra is A=$1,200.
Which equation could represent the relationship shown in the scatterplot?
Scatter plot with x axis labeled variable x and y axis labeled variable y. Points go from lower left to upper right.
What is the image point of (-7,3) after the transformation rx-axis o R180º?
In a composite transformation as given you make first the transformation in the right and then the transformation in the left.
For the given point: (-7, 3)
1. Rotation 180°
[tex]\begin{gathered} P(x,y)\rightarrow P^{\prime}(-x,-y) \\ \\ P(-7,3)\rightarrow P^{\prime}(7,-3) \end{gathered}[/tex]2. Reflection over x-axis:
[tex]\begin{gathered} P^{\prime}(x,y)\rightarrow P^{\prime}^{\prime}(x,-y) \\ \\ P^{\prime}(7,-3)\rightarrow P^{\doubleprime}(7,3) \end{gathered}[/tex]Then, the image of given point after the composite transformation is (7,3)Each person gets 3 scoops of ice cream. Is this relationship between the number of people and the number of scoops proportional?
Yes, the number of scoops proportional.
Define Proportional
A linear relationship between two amounts or variables is indicated by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
Hence, It is proportional. This is because as the number of people increases, the number of scoops also increase.
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What is the slope of the line x=4?
O A. 0
O B. Undefined
O C. 4
• D.1
Answer:
B. Undefined
Step-by-step explanation:
x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.
PLEASE ANSWER QUICK IT IS THE LAST PROBLEM ON HERE AND IT IS DUE TODAY!!!
Answer should be inequality!
Ray had scores of 75, 82, 94, and 77 on his first four algebra tests. What must he score on the next test to have an average of at least 85?
Please show work as well if possible.
Answer:
x ≥ 97
Step-by-step explanation:
Average = Sum of values divided by the amount of numbers in a data set
Data Set: {75, 82, 94, 77, ?}
75 + 82 + 94 + 77 + ? = ? ÷ 5 = 85
85 x 5 = 425
75 + 82 + 94 + 77 + ? = 425 ÷ 5 = 85
75 + 82 + 94 + 77 = 328
425 - 328 = 97
Ray must score greater than or equal to 97, or x ≥ 97 in order to have an average of at least 85.
vAt her Fourth of July party, Sally serves her famous grilled chicken. Her secret is to use 6 fluid ounces of lemon-garlic marinade for every pound of chicken. Sally plans to grill 4 pounds of chicken. How many cups of marinade should she use
In linear equation, 3 number of cups will be needed to marinade 4 pounds of chicken for grill.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. A linear equation in one variable would be 9x + 78 = 18, for instance.Here we have the data from the question:-
Marcy will use 6 fluid ounces of lemon-garlic marinade for every pound of chicken.
Marcy plans to grill 4 pounds of chicken.
So total marinade required will be:-
Total marinade =6x4=24 ounces
Now we know that the conversion:-
1 fluid Ounce = 0.125 Cup
24 fluid ounce =0.125 Cup
Hence 3 number of cups will be needed to marinade 4 pounds of chicken for grill.
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Write an exponential expression equivalent to 8^3 that has a base of 2.
The exponential expression equivalent to 8^3 that has a base of 2 is 2^9.
What is exponential expression?
Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.
Applying the laws of indices,
The expression 8^3 can be written as,
8 x 8 x 8 = (2^3) x (2^3) x (2^3)
= 2^(3+3+3) ...{If a^m x a^n then a^(m+n) }
8 x 8 x 8 = 2^9
Therefore, the exponential expression equivalent to 8^3 that has a base of 2 is 2^9.
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Please helppp as fast as possible 20 points ***
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|
Please helppp as fast as possible
Answer:
Domain: (−∞,∞),{x | x ∈ R}
Range: [0,∞),{y|y≥0}
Step-by-step explanation:
Find the midpoint of the segment below and enter its coordinates as anordered pair. If necessary, express coordinates as fractions, using the slashmark (/) for the fraction bar.
Each midpoint's coordinate is given by the mean of the respective coordinates of the two endpoints of the segment. Then, if we say M is the midpoint of that segment, we have:
Mx = (-4 + 4)/2 = 0/2 = 0
My = [6 + (-2)]/2 = (6 - 2)/2 = 4/2 = 2
Therefore, writing those coordinates as an ordered pair, we have:
M = (0, 2)
can you explain each step please for i can write it on a paper along with you
The two groups are given one is those who are studied and other is those who are not studied.
Studied - 88,100,94,79,92,100,95,83,89,99,100,91,89,95,100,93,96,84.
Arrange in order.
79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100
The mean of this group is
[tex]\frac{88+100+94+79+92+100+95+83+89+99+100+91+89+95+100+93+96+84}{18}[/tex][tex]\frac{1667}{18}=92.6[/tex]The mean is 92.6.
The median of this group is
Use the median formula for even
[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}^{}}{2}[/tex]Substitute the value of n =18
[tex]m=\frac{(\frac{18}{2})^{th}+(\frac{18}{2}+1)^{th}^{}}{2}=\frac{9^{th}+10^{th}^{}}{2}[/tex][tex]m=\frac{93+94}{2}=93.5[/tex]The median is 93.5.
The mode of this group is 100 as it is appears 3 times .
The another group is not studied group.
Not studied - 82,72,45,91,58,83,65,87,90,77,73,89.
Arrange in order-
45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91
The mean is determined as
[tex]\frac{82+72+45+91+58+83+65+87+90+77+73+89}{12}=\frac{912}{12}=76[/tex]The median is determined as
[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}[/tex]Substitute n=12.
[tex]m=\frac{(\frac{12}{2})^{th}+(\frac{12}{2}+1)^{th}^{}}{2}=\frac{6^{th}+7^{th}}{2}=\frac{77+82}{2}=79.5[/tex]There is no mode.
So, from the all the data given.
The mean of the group that studied is over 15 percent points higher than the mean of the group that did not studied.
[tex]92.61-76=16.61[/tex]The median of the group that did not studied is less than 80.
In general , those students that studied scored much higher than those students that did not study.
The correct options are a , c and e.
Add −1 3/10+2/5 using the number line.
Select the location on the number line to plot the sum.
The location on the number line to plot the sum of the given number is shown in the image attached below.
What is a number line?In Mathematics, a number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.
Note: Each interval on this number line represents 1/10.
Next, we would add the given numbers together as follows:
Number = −1 3/10 + 2/5
Number = −13/10 + 2/5
Number = (-13 + 4)/10
Number = -9/10 or -0.9.
Therefore, the sum would be located between -4/5 and -1.
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The larger of two numbers is five times the difference of the small number and one. If sum of the two numbers is 50 what are the two numbers?
Answer:
Step-by-step explanation:
40.833 recurring and 9.166 recurring
or 40 5/6 and 9 1/6
Call the small number 's'
Call the big number 'b'
The word problem says:
B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B
So, 5S-5=B=50-S
Therefore 6S=55 and the rest history!
Answer:
Step-by-step explanation:
Write down the integer values satisfied by this diagram. O -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 n
Reason:
The diagram describes values between -1 and 3. We exclude -1 because of the open hole. We include 3 because of the closed endpoint.
The equation for line s can be written as x - y = -2. Line t is perpendicular to lines and passes through (-4, 1). What is the equation of line t?
=========================================================
Explanation:
Anything perpendicular to Ax+By = C is of the form Bx-Ay = D
The given equation is x-y = -2 showing that A = 1, B = -1 and C = -2.
So Bx-Ay = D will update to -x-y = D
Plug in the coordinates of (-4,1) to find D.
-x-y = D
D = -x-y
D = -(-4)-1
D = 4-1
D = 3
We go from -x-y = D to -x - y = 3
Then multiply both sides by -1 to end up with x + y = -3
Solve the inequality and graph the solution on the line provided.
3x+17_< 41
A and B are complementary angles. If mA = (2x +27)° and mB =
(2x-21), then find the measure of A.
Answer:
mA = 69 degrees
Step-by-step explanation:
A complementary angle has a measure of 90 degrees.
(2x + 27) + (2x - 21) = 90
Simplify
4x + 6 = 90
-6
4x = 84
/4
x = 21
mA: 2(21) + 27 = 69
Answer:
A = 69°
Step-by-step explanation:
Complementary angles sum 90°
A + B = 90°
(2x + 27) + (2x-21) = 90°
4x + 27 - 21 = 90°
4x + 6 = 90°
4x = 90 - 6
4x = 84°
x = 84°/4
x = 21
Then A:
A = 2x + 27
A = 2*21 + 27
A = 42 + 27
A = 69°
B = 2x - 21
B = 2(21) + 27
B = 42 - 21
B = 21°
Check:
69 + 21 = 90
Choose a relationship model that will reach $0 in the same number of days as this scenario: mika has $12 and spends $2 each day. y = â€""2x â€"" 12 y = â€""3x 18 y = â€""4x 12 y = â€""12x 2
The equation that represent the relationship model that will reach $0 in the same number of days as the scenario gave is: y = -2x + 12
To solve this problem, we have to state the equation using the information of the problem.
Information about the problem:
Mika has = $12Mika spend = $2 per dayDay = xy = $0Writing the equation according to the information gave, we have:
y = -2x + 12
Where:
y = 0$x = daysSo that (y) equals zero, the number of days (x) should be = 6
y = -2x + 12
0 = -2*6 + 12
0 = -12 + 12
0 = 0
The "y" variable is the dependent variable, because it will change according to the number of days passed (x).
The "x" variable is the independent variable, because it doesn't depend on any other value, just the number of days passed.
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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a potter forms a piece of clay into a right circular cylinder. as she rolls it, the height of the cylinder increases and the radius decreases. assume that no clay is lost in the process. suppose the height of the cylinder is increasing by centimeters per second. what is the rate at which the radius is changing when the radius is centimeters and the height is centimeters?
The radius of the cylinder is decreasing at the rate of 0.22 cm per second.
One of the most important and fundamental curvilinear of a geometric shapes, a right circular cylinder has historically been a three-dimensional solid.
It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.The radius of the cylinder is the length of the line joining the circumference and the center of the circle.The derivative of the logarithm, dx /dt, is also the growth rate. The fractional change, must be used to represent a minor change in the logarithm. if the variable grows at the constant fixed rate g.Volume of a right circular cylinder = π r² h
Now we differentiate w.r.t to get :
[tex]\frac{dV}{dT} =2 \pi r h\frac{dr}{dt} + \pi r^2\frac{dh}{dt}[/tex]
Taking the values we get :
[tex]-34.3 = 154 \frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = -0.22[/tex]
Hence the radius is decreasing at the rate of -0.22 cm per second.
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I need help with this math question all parts please
we have the function
[tex]P(t)=\frac{60(1+0.4t)}{0.01t+3}[/tex]Part A
For t=0
substitute
[tex]\begin{gathered} P(t)=\frac{60(1+0.4(0))}{0.01(0)+3} \\ \\ P(t)=\frac{60(1)}{3} \\ \\ P(t)=20 \end{gathered}[/tex]The initial population was 20 insectsPart B
For t=5 years -------> Convert to months
t=60 months
substitute
[tex]\begin{gathered} P(t)=\frac{60(1+0.4(60))}{0.01(60)+3} \\ \\ P(t)=\frac{60(1+24)}{0.6+3} \\ \\ P(t)=\frac{1500}{3.6} \\ \\ P(t)=416.67 \end{gathered}[/tex]The answer is 417 insectsPart C
Determine horizontal asymptote
[tex]\begin{gathered} P(t)=\frac{60\left(1+0.4t\right)}{0.01t+3} \\ \\ rewrite \\ P(t)=\frac{60+24t}{0.01t+3} \end{gathered}[/tex]The horizontal asymptote is given by the ratio of
[tex]\frac{24}{0.01}=2,400[/tex]P(t)=2,400 ---------> horizontal asymptote
that means
as the value of time t increases ------> the value of the population tends to 2,400 insects
the population cannot be greater than 2400 insects
The range for the function P(t) is the interval [20, 2400)
All real numbers greater than or equal to 20 insects and less than 2400 insects
Part D
Using a graphing tool
Question 1 - Write an equation in Standard Form of a line that passes through (-3,-7) and has a slope of 4.
Question 2 - Write an equation in Standard Form of a line that passes through (10,-2) and has a slope of -1/2
Question 3 - Write an equation in Point Slope Form of a line that passes through (-1,8) and has a slope of -3/4
Question 4 - Write an equation in Slope Intercept Form that passes through (-3,11) and (6,-7).
The equation is, 4x - y = -5
The equation is, x + 2y = 6
The equation is, [tex][tex]y = -\frac{3}{4}x + \frac{29}{4}[/tex][/tex]
The equation is, y = -2x + 5
What is standard form of equation of line?
When A and B are not both zero, a line has the usual form Ax + By = C. The standard form of equation with slope and the point is,[tex][tex]y - y_{1} = m(x - x_1)[/tex][/tex] ...(1)
1. Given:[tex][tex]x_1 = -3, y_1 = -7, m = 4[/tex][/tex]
Plug these values in the above equation,
[tex][tex]y - (-7) = 4(x - (-3)\\ y + 7 = 4(x + 3)\\\\y + 7 = 4x + 12\\y = 4x + 5\\\\4x - y = -5[/tex][/tex]
This is the equation in standard form of line.
2. Given:
[tex][tex]x_1 = 10, y_1 = -2, m = -\frac{1}{2}[/tex][/tex]
Plug these values in the equation (1),
[tex][tex]y - (-2) = -\frac{1}{2} (x - 10)\\y + 2 = -\frac{1}{2} x + 5\\[/tex][/tex]
Multiply both sides by 2.2y + 4 = -x + 10x + 2y = 6
This is the equation in standard form of line.
3. Given:
[tex][tex]x_1 = -1, y_1 = 8, m = -\frac{3}{4}[/tex][/tex]
Plug these values in the equation (1),[tex][tex]y - 8 = -\frac{3}{4}(x - (-1))\\ y -8 = -\frac{3}{4}(x + 1)\\ y - 8 = -\frac{3}{4}x - \frac{3}{4}[/tex][tex]y = -\frac{3}{4}x -\frac{3}{4} + 8\\ y = -\frac{3}{4}x + \frac{29}{4} \\[/tex][/tex]
This is the equation in point slope form.
4. Given:[tex][tex](x_1, y_1) = (-3, 11), (x_2, y_2) = (6, -7)[/tex][/tex]
First to find the slope from the given two points.
[tex][tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{-7-11}{6-(-3)}\\ m = \frac{-18}{9\\}\\ m = -2[/tex][/tex]
Now plug m = -2 and one of the given point in the equation (1), we ge[tex]t[tex]y - 11 = -2(x - (-3))\\y - 11 = -2(x + 3)\\y - 11 = -2x - 6\\y = -2x + 5[/tex][/tex]
This is the equation in slope intercept form.
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Please assist Math with 50 points!
Answer:
A. (1/2) bucket
Step-by-step explanation:
6 11
4 ------ - 3 ------- = ?
14 12
14 × 4 = 56
56 + 6 = 62
12 × -3 = -36
-36 - 11 = -47
62 47
------- - -------
14 12
62(12) 47(14)
------- - -------
14(12) 12(14)
744 658 86
------- - ------- = --------
168 168 168
86 ÷ 2
-------
168 ÷ 2
43
----- = 0.511
84
0.511 ≈ (1/2)
I hope this helps!
Answer:
1/2 bucket
Step-by-step explanation:
Given g(x)=−23(x−4)2+3, g ( x ) = − 2 3 ( x − 4 ) 2 + 3 , what is the value of g(–5)? *Type in your answer. g(–5) =
The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.
What is the output value of g(-5) in the given function?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the data in the question;
g( x ) = −23( x - 4 )2 + 3g( -5 ) = ?To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.
g( x ) = −23( x - 4 )2 + 3
g( -5 ) = −23( -5 - 4 )2 + 3
g( -5 ) = −23( -9 )2 + 3
g( -5 ) = −23( -9 × 2) + 3
g( -5 ) = −23( -18) + 3
g( -5 ) = ( -23 × -18) + 3
g( -5 ) = ( 414 ) + 3
g( -5 ) = 414 + 3
g( -5 ) = 417
Therefore, the output value of g( -5 ) is 417.
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Hello can you help me on my 7th grade math worksheet show all work
ANSWER:
78.5 ft
STEP-BY-STEP EXPLANATION:
One trip equals the circumference of the circle.
The circumference of a circle is calculated by means of the following formula:
[tex]\begin{gathered} c=\pi\cdot d \\ \\ d=\text{ diameter = 25 ft} \end{gathered}[/tex]Therefore, we substitute and calculate the distance the pony would walk for a trip:
[tex]\begin{gathered} c=(3.14)(25) \\ \\ c=78.5\text{ ft} \end{gathered}[/tex]That is, the number of feet the pony walks is 78.5
