Answer:
100-500
Step-by-step explanation:
Both sides of a triangle cannot be shorter than the remaining side. Thus, the side must be less than 500 units. With the same rule, the side must be greater or equal to 100 units, as if it was less, then 200 + 99 < 300.
The compound inequality for the range of the possible lengths for the third side will be 100- 500.
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.
p ≠ q means that p is not equal to qp < q means that p is less than qp > q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to qGiven:
side lengths of 200 units and 300 units.
The largest value of the third side will be
200+300=500
and, the smallest value will be
300-200=100
Hence, 100<X<500
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answer me step by step
if don't I will report you
Help urgently please❤️ I’m waiting urgently
Answer:
1. 3511
2 B= 0.25
Step-by-step explanation:
1. The number of single scoop cone is represented as s while the number of double scoop cone is represented as d. The total number of scoop cone the coach bought is 15 and the total sum is 57 dollars .
Therefore, multiply the number of single scoop cone(s) by each price and also find the product of the number of double cone(d) and the price of each . Then add the result to get 57 dollars. Therefore, A = 3 dollars and B = 5 dollars. The sum of s and d will give 15 . Therefore, C and E is equals to 1.
2. s is the number of small candies while l is the number of big candies. The individual cost of the small candies and the large candies are in cents so we have to convert them to dollars.
Cost of each small candies = 10/100 = 0.1 dollars
Cost of each large candies = 25/100 = 0.25 dollars.
Therefore, using the same principle as number 1
A = 0.1 dollars
B = 0.25 dollars
The value of E = 52
the picture is the qestion
Answer:
The answer is option D.
Step-by-step explanation:
Because -3/-5 = 3/5 since the negative sign cancel each other.
Hope this helps you
Answer:
The fourth option
Step-by-step explanation:
-3/5 is the same as - 3/5 or 3/-5 (it doesn't matter where the negative sign goes-on the side, numerator, or denominator)
-(-3/-5) is basically negative of -3/-5
-3/-5 is the not the same as -3/5
PLEASE HELP ASAP THIS IS TIMED. If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)? On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0). On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2) On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5). On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Answer:
4th Graph
Step-by-step explanation:
Step 1: Find (f + g)(x)
-x² + 3x + 5 + x² + 2x
3x + 5 + 2x
5x + 5
Step 2: Graph
Answer:
option d on edge trash
Step-by-step explanation:
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. There were no gaps or overlapping paper. How many square inches of wrapping paper were left over? Choose an answer
Answer:
380 square inches
Step-by-step explanation:
We are given the measurements of the Rectangular Prism as
8 inches by 9 inches by 10 inches
Where based on the order of arrangement:
8 inches = Length
9 inches= Width
10 inches = Height
Step 1
Find the amount of wrapping paper needed
Perimeter = 2L + 2W
= 2 × 8 + 2 ×9
= 16 + 18
= 34 inches
Base = L × W
= 8 × 9
= 72 inches
Surface Area of the Rectangular Prism =PH + 2B
Where P = Perimeter
H = Height
B = Base
= 34 × 10 + 2× 72
= 340 + 144
= 484 square inches
The area of the Rectangular prism = 484 square inches
Step 2
So we were told that she used wrapping paper the measured 2 feet by 3 feet.
We would convert the values in feet to inches
1 ft = 12 inches
Length = 2 ft = 2 × 12 = 24 inches
Width = 3 ft = 3 × 12 = 36 inches
We find the area of the wrapping paper
Length × Width = 24inches × 36 inches = 864 square inches.
Step 3
The amount of square inches of wrapping paper left over is calculated as:
Area of the wrapping paper used - Area of the Rectangular prism
= 864 square inches - 484 square inches
= 380 square inches.
Therefore, the amount of square inches of wrapping paper left over is 380 square inches.
Which composition of transformations will create a pair of similar, not congruent triangles?
a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation
Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.
What is a congruent triangle?A congruent triangle simply means when two triangles have exactly the same side and angles.
Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.
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A jar containing 17 coins (pennies, dimes and quarters) has a total value of $2.06. If you remove 5 pennies, 5 dimes and 5 quarters from the jar, which coins will remain in the jar?
Figure ABCD is a rectangle find the value of x
Answer:
8
Step-by-step explanation:
BD is 32 units.
BE is half of BD
3x - 8 = 32/2
3x - 8 = 16
3x = 16 + 8
3x = 24
3/3x = 24/3
x = 8
Answer:
8Solution,
Diagonals of rectangle bisects each other.so,
2 BE = BD
2( 3x - 8 ) = 32
6x - 16 = 32
Add 16 on both sides
6x - 16 + 16 = 32 + 16
Simplify
6x = 48
divide both sides of equation by 6
6x/6 = 48/6
calculate
X = 8
Hope this helps...
Good luck on your assignment..
Use the function below to find (-2).
f(x) = 3x
O A.
O B. -9
O c.
O D. -6
answer
f(x)= 3x
= 3×-2 = -6
D. -6
can someone help me with the question, please.
Answer:
x = arcsin 0.591 = 0.632 radian or 36.21 degrees
Step-by-step explanation:
Angle x and the sides 13 and 22 cm are related through the sine function as follows:
opposite side 13 cm
sin x = ---------------------- = ------------- = 0.591
hypotenuse 22 cm
Now find x using the inverse sine function:
x = arcsin 0.591 = 0.632 radian or 36.21 degrees
Answer:
36.22°Solution,
Perpendicular = AB
hypotenuse = AC
we know that,
[tex]sin \: theta = \frac{perpendicular}{hypotenuse} [/tex]
[tex]sin \: x \: = \frac{ab}{ac} [/tex]
[tex]x = {sin}^{ - 1} \frac{13}{22} [/tex]
[tex]x = 36.22[/tex]
Hope this helps...
Help please ?
Solve 2x - 5 = 7
Answer:
x = 6
Step-by-step explanation:
2x - 5 = 7
Add 5 on both sides.
2x - 5 + 5 = 7 + 5
2x = 12
Divide both sides by 2.
2x/2 = 12/2
x = 6
Factor the polynomial completely using the X method. x2 + 13x – 48 An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + 13 x minus 48. What is the four-term polynomial and factored form of the polynomial? x2 + 7x + 6x – 48 = (x + 7)(x + 6) x2 – 12x + 4x – 48 = (x – 12)(x + 4) x2 + 16x – 3x – 48 = (x + 16)(x – 3) x2 – 16x + 3x – 48 = (x – 16)(x + 3)
Answer:
Step-by-step explanation:
The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).
Note how 16 - 3 = 13, which is the coefficient of the middle term. Thus, the factors are
(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.
The factored form of the given polynomial is (x - 3)(x + 6)
Calculation of the factor:Since the equation is [tex]x^2 + 13x - 48[/tex]
Now
The four-term polynomial is
[tex]x^2 + 16x - 3x - 48[/tex]
x(x + 16) - 3(x + 16)
(x - 3)(x + 6)
Here polynomial represents the expression that includes the additions, subtraction, etc
Therefore, The factored form of the given polynomial is (x - 3)(x + 6)
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A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of the bus?.
Answer:
Step-by-step explanation:
Let s represent the speed of the bus.
From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as
Speed, s = distance covered by the bus/ time taken to cover the distance
Therefore,
Speed, s = 240/5 = 48 km/hr
A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be
s ≥ 48
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
What is the greatest number of bricks Lynn can make?
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
Answer:
Greatest number of bricks = 70
Washed out mixture = 4 pounds
Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.
Step-by-step explanation:
She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket.
Amount of mixture = 39 pounds of water + 48 pounds of brick dust
Amount of mixture = 87 pounds
She spills 13 pounds of the mixture while stirring the contents.
Amount of mixture left = 87 pounds - 13 pounds
Amount of mixture left = 74 pounds
Each brick requires 7 pounds of mixture
What is the greatest number of bricks Lynn can make?
Greatest number of bricks = 7×10
Greatest number of bricks = 70
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
Washed out mixture = 74 pounds - 70 pounds
Washed out mixture = 4 pounds
Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.
The money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £120 a week and pays £41 in tax.
Answer: The answer is given below
Step-by-step explanation:
From the question, we are informed that the money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Therefore, the formula for the money he can spend will be:
m = w - t
The amount of money that he has to spend if he earns £120 a week and pays £41 in tax will be:
m = w - t
m = £120 - £41
m = £79
Which set of points does NOT represent a function?
OA) (-4,-2), (-1,3), (0, 3), (5, -6)
OB) (1 -1), (3, -1), (5, -1), (-1, -1)
OC) (-2, 6), (5, 6), (-2,-6), (4,5)
OD) (7,4), (-4, 7), (-7,-4), (4, -7)
Answer:
OC is not a function
Step-by-step explanation:
It's not a function because the x cannot repeat.
Solve the system of equations:
y = x-2
y= x2 – 3x+ 2
Answer:
(2, 0)
Step-by-step explanation:
y = x - 2
y = x² - 3x + 2
Since both equations equal y, you can set the equations equal to each other.
x - 2 = x² - 3x + 2
x = x² - 3x + 4
0 = x² - 4x + 4
0 = (x - 2)(x - 2)
x - 2 = 0
x = 2
Now that you have an x-value, solve for y.
y = x - 2
y = 2 - 2
y = 0
The solution is (2, 0).
What is the volume of the sphere shown below with a radius of 3?
17.3-
A. 125 cu. units
B. 72s cu units
C. 365 cu. units
D. 108 cu. units
Answer:
volume of the sphere
=4/3π × r³
=4/3π × 3 × 3 × 3
=4/3π × 27
=36π ( c )
The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, We know that;
volume of the sphere is,
V = 4/3π × r³
Here, We have;
r = 3
Hence, We get;
V = 4/3π × 3 × 3 × 3
= 4/3π × 27
=36π
Thus, The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
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1. Garbage Production. Based on a sample of 62 households, the mean weight of discarded plastic is 1.93 pounds and the standard deviation is 1.08 pounds (data from the Garbage Project at the University of Arizona). Use a single value to estimate the mean weight of discarded plastic for all households. Also, find the 90% confidence interval.
Answer:
The answer is below
Step-by-step explanation:
Given that:
Mean (μ) = 1.93, standard deviation (σ) = 1.08 pounds, sample (n) = 62.
the mean weight of discarded plastic for all household is given by:
[tex]\mu_x=\mu = 1.93\ pounds[/tex]
The standard deviation of discarded plastic for all household is given by:
[tex]\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{1.08}{\sqrt{62} }=0.137\ pounds[/tex]
The confidence (c) = 90% = 0.9
α = 1 - c = 1 - 0.9 = 0.1
α/2= 0.1/2 = 0.05
The z score of 0.05 corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645. i.e. [tex]z_\frac{\alpha}{2}=z_{0.05}=1.645[/tex]
The margin of error (E) = [tex]z_{0.05}\frac{\sigma}{\sqrt{n} }=1.645*\frac{1.03}{\sqrt{62} }= 0.2256[/tex]
The confidence interval = [tex]\mu \pm E=1.93 \pm 0.2256=(1.7044,2.1556)[/tex]
We are 90% confidence that the value is between 1,7044 and 2.1556
Which ordered pair is in the solution of the system of inequalities shown in the accompanying graph
Answer:
(3, 2).
Step-by-step explanation:
It must be in the area containing the squares
ASAP MATH HELP WITH THIS QUESTIONS
Answer:
y = - x + 3
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (4, - 1)
m = [tex]\frac{-1-5}{4+2}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1, thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, - 1 ), then
- 1 = - 4 + c ⇒ c = - 1 + 4 = 3
y = - x + 3 ← equation of line
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 266(1.05) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2010?
Answer:
The yearly growth percentage is 5%
The worth of the company in 2010 is 433 million of dollars approximately
Step-by-step explanation:
The annual growth percentage;
We can write the equation of w as follows;
W = 266 (1 + 0.05)^t
Compare this with ;
W = I(1 + r)^t
Where W is the worth at a particular year
I is the initial worth at year 2000
r is the rate of increase per year
and t is the time since 2010
where it is the 0.05 that represents the yearly growth percentage (r)
0.05 as a percentage is 5/100 which is 5%
Now, we want to calculate the worth of the company in the year 2010
The first thing to do here is to calculate the value of t.
The value of t is the difference between the years 2000 and 2010 and that is 2010-2000 = 10 years
Now to find the worth at 2010, simply substitute that value of t = 10 in the equation
Thus;
W = 266(1.05)^10
W = 433.2859707228
Which is approximately 433
What is the sum of the first 18 terms in the arithmetic sequence 3+7+11+...?
What are the coordinates of the point where the line y = -\frac{4}{5}x + 80 intersects the x -axis?
Answer:
71
Step-by-step explanation:
I am only able to really help with the first part of this question. I am very sorry about that!
Lets take a look at the sequence!
It starts with 3 and then goes to 7. Which means it is adding 4 each time it continues. To confirm this, lets look at 11. 7 goes to 11, which again means it is adding 4! So we understand and now the pattern!
Rather than doing a buttload of work, lets do it an easier way. Lets plug 18 into a calculator!
If you have one, all you need to do is add 3 plus 4. Then plus for again. That should start a ripple effect if you press enter. On the 18 term it would be 71!
Hope that helped.
Complete the table of values for y=x^2-2x+5 (see table in comments)
Step-by-step explanation:
Plug in each value of x into the equation and find y:
[tex]\left[\begin{array}{cc}x&y\\-2&(-2)^{2}-2(-2)+5=13\\-1&(-1)^{2}-2(-1)+5=8\\0&(0)^{2}-2(0)+5=5\\1&(1)^{2}-2(1)+5=4\\2&(2)^{2}-2(2)+5=5\\3&(3)^{2}-2(3)+5=8\end{array}\right][/tex]
which point is a solution to the inequality shown in this graph? A. (0,-5) B. (-3,0) C. (0,0) D. (5,-5)
Point (-3, 0) is required solution to the inequality. Hence option B. is correct.
What is inequality?Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
As from graph,
The inequality can be define as -[tex]y > \frac{4}{3}x+4[/tex]
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.
Thus, point (-3, 0) is required solution to the inequality.
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Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Answer:
it is A or the first one
Step-by-step explanation:
The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.
Two equation of lines is given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.
A line can be defined by a shortest distance between two points is called as a line.
Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).
Thus, The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.
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Determine the slope of the line that contains the points of (-9,5) and (6,-5)
Answer:
[tex]\bold{m=-\dfrac23}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]
lyle has 1/6 of a pound of sunflower seeds. he wants to divide them evenly into 5 snack containers. how many pounds of sunflower seeds will be in each container
Answer:
0.03333333333333
Step-by-step explanation:
1/6 = 0.1666666666666
0.16666666666666 / 5 = 0.03333333333
I need help on this please
Answer:
[tex]y=\frac{5}{6}x+5[/tex]
Step-by-step explanation:
Well this is actually really simple we just have to look at the line and see what attributes it has so we can make an equation.
So slope intercept form is [tex]y=mx+b[/tex].
Like to find the y intercept we know it is the point that the line touches the y axis which is 5.
Now for the slope, the slope is how far each points are from each other on a line so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].
So to do this we need two points that are on the line we can use (-6,0) and (6,10).
So y2 is 10 and y1 is 0 so 10-0 is 10 and 6 - -6 is 12 so the slope is 10/12 and we have to simplify it to 5/6 so the slope is 5/6 and now we have to put it in slope intercept -> [tex]y=\frac{5}{6}x+5[/tex]
Use the graph of the polynomial function to find the factored form of the related
polynomial. Assume it has no constant factor.
A. (x + 2)(x+2)
B. x(x-2)
C. x(x + 2)
D. (x-2)(x + 2)
Answer:
d
Step-by-step explanation:
the answer would be (x-2)(x+2)