Answer:
Step-by-step explanation:
300+50+4+200+70+1
=500+120+5
=625
The height (in inches) of a plant after 't' days is (1/2t + 6). After how many days is the plant 21 inches tall? *
Height = 1/2t + 6
To find after how many days the plant is 21 inches tall, replace height by 21:
21 = 1/2t + 6
Solve for t (days)
21-6 = 1/2t
15 = 1/2t
Multiply both sides of the equation by 2:
15(2) = 1/2t (2)
30 =t
After 30 days
Please help me. Thank you. I’m supposed to move the coordinates on the plane.
The rectangle has upper-left coordinates (3,-3), upper-right coordinates (7,-3) and area 16 square units.
By these coordinates, we know that it's base length is 7 - 3 = 4 units.
And, since the area of a rectangle is given by it's base length times its height h, which is: 4*h = 16, which implies h = 4 units.
Therefore, the botton coordinates will be (3,-3-4) = (3,-7) and (7,-3-4) = (7,-7)
Factor the polynomial completely.
x3 + 6x + x2 + 6
Group of answer choices
(x2 + 1)(x + 6)
(6x + 1)(x + 1)
(x2 + 6)(x + 1)
Answer:
(x² + 6)(x + 1)
Step-by-step explanation:
x³ + 6x + x² + 6
x³ + x² + 6x + 6
(x³ + x²) + (6x + 6)
x²(x + 1) + 6(x + 1)
(x² + 6)(x + 1)
I hope this helps!
Parallel lines with a transversal
Answer:
Same Side Interior Angles
? = 64
Step-by-step explanation:
180-116=?
64=?
the circumference of a circle is 22cm. what is the area of 1/10 of the circular region? use π= 22/7
Answer
(1/10) of Area = 3.85 cm²
Explanation
Circumference of a circle = 2πr
where
π = pi = (22/7)
r = radius of the circle = ?
Circumference = 22 cm
Circumference = 2πr
22 = 2 × (22/7) × r
22 = (44r/7)
(44r/7) = 22
44r = (22)(7)
r = [(22)(7)/44]
r = 3.5 cm
Area of a circle = πr²
We are then asked to find (1/10) of the area of this circle
(1/10) of Area = (1/10) × (22/7) × 3.5²
(1/10) of Area = 3.85 cm²
Hope this Helps!!!
1. What is the greatest commonfactor (GCF) for the following function. 2x +4 = 0? #2 Factor out the GCF and what is leftgoesinside the parenthesis.
We have the expression:
2x+4
Analyzing each term separately we have
2x=2*x
4=2*2
We can see there is one factor that both expressions have: the number 2
1. The GCF is 2
2.
The GCF is 2, and if we want to factor it out, we must divide both terms by 2:
2x+4=2(x+2)
Note the term 2x was divided by 2 to get x, and 4 by 2 is 2
The factored function is
2x+4=2(x+2)
part b)what is the slope of the line the rest of the question is provided in the picture
We want to find the slope of the graph. The formula for calculating slope is expressed as
slope = (y2 - y1)/(x2 - x1)
where
y1 and y2 are the y coordinates of initial and final points on the line.
x1 and x2 are the x coordinates of initial and final points on the line.
Locating initial and final points on the line, we have
when x1 = 1, y1 = 2000
when x2 = 2, y2 = 3500
By substituting these values into the formula, we have
slope = (3500 - 2000)/(2 - 1) = 1500/1
Slope = 1500
The cost increases by $1500 for each ton of sugar being transported
the current in a stream flows at a rate of 4 mph. A boat travels 9 miles upstream and 9 miles downstream in a total time of 3 hours. What is the speed of the boat in still water?
The boat is moving at a speed of 8 miles per hours in still water.
How to find the speed of the boat in still water?
In this problem we find that the absolute speed of a boat (v''), in miles per hour, is the combination of the speed of the boat in still water (v) and the stream speed (v'), in miles per hour. If we assume that the boat travels at constant speed, then we have the following two equations:
Upstream
v - v' = x / t
v - 4 = 9 / t (1)
Downstream
v + v' = x / (3 - t)
v + 4 = 9 / (3 - t) (2)
By (1) and (2):
4 + 9 / t = 9 / (3 - t) - 4
9 / t - 9 / (3 - t) = - 8
9 / (3 - t) - 9 / t = 8
9 · t - 9 · (3 - t) = 8 · t · (3 - t)
9 · t - 27 + 9 · t = 24 · t - 8 · t²
18 · t - 27 = 24 · t - 8 · t²
8 · t² - 6 · t - 27 = 0
By quadratic formula we find that t₁ = 9 / 4 h and t₂ = - 3 / 2 h. Only the first root is physically reasonable. Finally, we find the speed of the boat in still water:
v - 4 = 9 / t
v = 4 + 9 / t
v = 4 + 9 / (9 / 4)
v = 8 mi / h
The speed of the boat in still water is equal to 8 miles per hour.
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se debe de pintar de azuluna barda en forma de romboide la cual mide 4.5metros de base por 2.3 metros de altura si se han pintado 4.50 metros cuadrados cuantos metros cuadrados faltan por terminar
Sabemos que
El área del romboide se obtiene multiplicando la base por altura .
A = b · h
en este problema tenemos que
b=4.5 m
h=2.3 m
A=4.5*2.3=10.35 m^2
Sustrae 4.50 de 10.35
10.35-4.50=5.85 m^2
La respuesta es
Faltan por terminar 5 .85 metros cuadrados
May u please help me with the 2 last Questions.
omeWe are asked to find the length of the diagonal of a square with side = 7 ft
So, we can use the Pythagoras Theorem to find its length, since we are dealing with a right anhle triangle that the diagonal determines, being the 7 ft sides the "legs" of the triangle, and the diagonal of the square being the hypotenuse:
[tex]\text{hyp}=\sqrt[]{7^2+7^2}=\sqrt[]{49+49}=\sqrt[]{98}\approx9.899[/tex]which can be rounded to about 9.9 feet for this diagonal.
In the second problem, we are given the value of the diagonal, and we are asked to find the value of the square's sides, so we use Pythagoras again:
[tex]\begin{gathered} 12^2=x^2+x^2=2x^2 \\ 144=2x^2 \\ \frac{144}{2}=x^2 \\ 72=x^2 \end{gathered}[/tex]where we have named "x" the length of the unknown sides of the square, and used that 12 is the length of the diagonal.
We solved for x^2, but now to find "x" (the length of the side) we use the square root property:
[tex]\begin{gathered} x^2=72 \\ x=\sqrt[\square]{72} \\ x\approx8.485 \end{gathered}[/tex]Then the sides of the square must be approximately 8.5 ft if we round the answer to one decimal.
Solve the system.
x - 5y = 4
3x - 4y = 12
x=4+5y is the third equation. Note I will solve this by substitution.
⇒In the place of x in the equation 3x-4y=12 plug in 4+5y
[tex]3(4+5y)-4y=12\\12+15y-4y=12\\12-11y=12\\-11y=12-12\\-11y=0\\\frac{-11y}{-11}=\frac{0}{-11} \\ y=0[/tex]
x=4+5y
x=4+5(0)
x=4
Attached is the solution.
Goodluck
the number of seeds found in a sample of 7 different oranges were: 3 3 4 5 7 8 and 12 what range of the number of seeds in the sample of oranges?
SOLUTION
The range = Largest number - smallest number
The largest number is 12 and the smallest is 3.
Therefore, the range = 12 - 3 = 9.
The correct answer is option D. 9
If K is the midpoint of HJ, HK= x + 6, and HJ = 4x - 6, then KJ equals
Consider the figure,
We have,
[tex]\begin{gathered} HK=x+6 \\ \text{HJ}=4x-6 \end{gathered}[/tex]As we can understand from the figure that,
HJ=HK+KJ and HK=KJ
[tex]\begin{gathered} HJ=HK+KJ \\ 4x-6=x+6+KJ \\ 4x-6-x-6=KJ \\ 3x-12=KJ \\ 3x-12=x+6 \\ x=9 \\ \therefore KJ=3\times9-12=15 \end{gathered}[/tex],
-16t^2+10t+6= 0.75please help asap !!!!!!
The problem is asking you to find tha height of the ball after 0.75 seconds, and they give you the formula for the height:
[tex]h(t)=-16t^2+10\text{ t + 6}[/tex]So since this a function in terms of the time "t", all you need to do is to replace t with "0.75" in the equation, and thus obtain the height of the object at that moment in time:
[tex]h(0.75)=-16(0.75)^2\text{+10 (0.75)+6=}4.5[/tex]The answer comes in feet, and it is: 4.5 ft
HELP PLEASEEEEEEEEEEE!! ILL MARK BRAINLIEST
Plot (−134,412) on the coordinate plane.
Consider the coordinate (-1 3/4, 4 1/2).
Therefore, the x coordinate and y coordinate are - 1 3/4 and 4 1/2 respectively.
First, we must move back and forth between -1 and -2 by one and three.
In order to acquire 4 1/2, we must first get 4 above the y-axis, followed by half between 4 and 5.
The location at which the horizontal line at 4 1/2 and the vertical line at -1 3/4 would connect would be marked with a coordinate.
Or,
x = - 1 ( 3/4 ) = - 7/4 = - 1.75 and;
y = 4 1/2 = 9/2 = 4.5
Hence, ( -1 3/4, 4 1/2 ) = ( - 1.75, 4.5 ).
The shown red point on the graph is the coordinate (-1 3/4, 4 1/2).
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Assume that the function
f
is a one-to-one function.
(a) If
f
(
6
)
=
2
, find
f
−
1
(
2
)
.
Your answer is
(b) If
f
−
1
(
−
8
)
=
−
6
, find
f
(
−
6
)
.
Your answer is
Someone please help me answer this and i need the correct answer
Answer: D
Step-by-step explanation:
PLEASE HELP DUE IN 23 and I’ll be giving 25 points to whoever helps me.Thank you
Answer:
X is 44 - X = 44
Step-by-step explanation:
Please help me with mine.
what is the answer is it 56, 76, 128, or 100
The sum of the interior angles of any quadrilateral is 360°.
Therefore, we have,
[tex]4n+5n+6+9n+2+8n-12=360[/tex]SOlving for n, we get,
[tex]\begin{gathered} 26n-4=360 \\ 26n=364 \\ n=14 \end{gathered}[/tex]Therefore, the angle m[tex]4n=4\times14=56[/tex]The answer is 56.
1. Green Forest Day Camp has 43 fewer girl campers than boy campers. There are 278 boy campers. Use rounding to estimate the total number of campers. 2. Green Forest Day Camp has 43 fewer girl campers than boy campers. There are 278 boy Campers. How many actual total campers does Green Forest Day Camp have?
Answer: 513 campers
Explanation
The total number of boys in the camp is 278
There are 43 fewer girl campers than boy
Let the total number of campers be x
Let the total number of girl campers be y
Since, there are 43 fewer girl campers than boy
Hence, the total number of girl campers is
y = Boy campers - 43
Boy campers = 278
y = 278 - 43
y = 235
Since, y is the total number of girl campers, hence, the total number of girl campers is 235
The total number of campers = number of boy campers + number of girl campers
The total number of campers = 278 + 235
The total number of campers = 513 campers
The answer is 513 camperst
There is a rectangular lot in the garden, with 10 ft in length and 4 ft in width. You plan to expand the lot by an equal length around its
four sides, and make the area of the expanded rectangle 72 ft². How long should you expand the original lot in four directions?
You should expand the original lot by blank in four directions. Please type ft to represent feet.
Answer:
You should expand the four sides of the original lot by 2 ft.
Step-by-step explanation:
10 x 4 = 40
72 - 40 = 32
32/4 = 8
10 - 8 = 2
10 + 2 = 12
4 + 2 =6
12 x 6 = 72
What is the total number of lines of symmetry for this figure?
A. 0
B. 1
C. 2
D. 4
Answer: C. 2
Step-by-step explanation:
Lines of symmetry are where the shape could be folded over and be a perfect match from one side to the other. This shape can be folded horizontally and vertically from the center.
(36yx-16y2²-315x)+(-4y³x³)
Answer:
36yx-64y-315x-4y^3x^3
Step-by-step explanation:
Expand and simplify (36yx-16y2²-315x)+(-4y³x³)
to get 36yx-16y x 2^2-315x-4y^3x^3
Simplifying further to get
36yx-64y-315x-4y^3x^3
Solve the equation.
-x+8+ 3x = x-6
Answer:
x= -14
Step-by-step explanation:
-x + 8 + 3x = x -6
combine -x and 3x to get
8 + 2x = x -6
subtract x from both sides to get
8 + x = -6
subtract 8 from both sides to get
x= -14
please help me with this this math question thank you!
(5x +
6)(-10x² + 9x - 4)
-110x^3 + 99x^2 - 44x
graph: q(x)=-2/x+3)+1 Make sure that you are labeling every single part. Take your time. This is the reason why I am assigning one problem as a homework.
Here, we want to plot the graph of the given absolute value equation
As we shall be considering the positive and negative values of the expression inside the lines (x+3), this plot will usually take a v shape, coming out from a certain point
The plot is shown below;
As we can see from the plot, we have two x-intercepts (the points at which the plot touches the x-axis), 1 tip (vertex) and 1 y-intercept (the point at which the graph touches the y-axis)
The labelings are as follows;
x-intercept 1; (-3.5,0)
x-intercept 2; (-2.5,0)
y-intercept; (0,-5)
Vertex; (-3,1)
Graph the point (5, 0) on the coordinate plane.
The point (5, 0) on the coordinate plane is inserted in the graph.
The intersection of "x" and "y" axis forming a two dimensional plane is called coordinate plane.The horizontal axis is called as "x" axis and the vertical axis is called "y" axis . The Cartesian plane is also called as x- y plane .Cartesian plane consists of four coordinates. It is also called co- ordinate plane .
According to the graph attached below the point on "x" axis denotes 5 units and since y axis is 0 i.e. the point is 0 at y axis.
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A table is 2 feet wide and 6 times long as it is wide
Answer:
The table is 12 feet long
Step-by-step explanation:
If the table is 2 feet wide and the length is 6 times the width
we do 6(2) you get 12 which is the length