Answer:
(0,-2), (-2,-10), (4,14), (-3,-14)
Step-by-step explanation:
y(0)=-2, y(-2)=-10, y(x) = 14 so x=16/4=4, y(x) = - 14, x=-12/4=-3.
A 7ft board is to be cut into three pieces, two equal length ones and the third 6 inches shorter than each of the other two. If the cutting does not result in any length being lost, how long are the pieces?
Answer:
The two boards of equal length are 30 inches long, and the third board is 24 inches long
Step-by-step explanation:
First, convert the length of the board to inches. There are 12 inches in a foot, so multiply 7 by 12:
7(12)
= 84
Let x represent the length of the two boards of equal length. The length of the third board can be represented by x - 6, since it is 6 inches shorter than the other two.
Create an equation to represent this and solve for x:
(x) + (x) + (x - 6) = 84
3x - 6 = 84
3x = 90
x = 30
So, the two boards of equal length are 30 inches long.
Subtract 6 from this to find the length of the third board:
30 - 6
= 24
The two boards of equal length are 30 inches long, and the third board is 24 inches long.
Stephan has 10 sticks that are 50 cm long. He wants to cut them so he has 50 sticks that are 10 cm long. how many cuts will he need to make?
Answer:
40
Step-by-step explanation:
1 stick (50cm) -> 5 stick (10cm)
Which needs 4 cuts.
Therefore each 50cm sticks need 4 cuts to make it 10 cm so 10 sticks × 4 cuts = 40 cuts
9. Write a polynomial function in factored form with zeros at -2, 5, and 6.
F(x) = (x + 2)(x - 5)(x - 6)
+
F(x) = x3 - 9x2 + 8x + 60
O
f(x) = (x - 2)(x + 5)(x + 6)
Flx) = x3 + 9x2 + 8x - 60
Answer:
f(x) = ( x+2)(x-5)(x-6)
Step-by-step explanation:
We can write the equation with zeros at b1,b2,b3
f(x) =a( x-b1)(x-b2)(x-b3) where a is a constant and b1 b2 b3 are the zeros
f(x) = a( x- -2)(x-5)(x-6)
f(x) = a( x+2)(x-5)(x-6)
We can choose a since we are not given any more information about the function. Let a = 1
f(x) = 1( x+2)(x-5)(x-6)
f(x) = ( x+2)(x-5)(x-6)
. A customer surveys the stock of gluten-free
breads sold in three different grocery stores.
At each grocery store, the customer counts
the number of different gluten-free breads
and compares it to the number of breads
that are not gluten-free. The table below
shows the results of this survey.
This is a relative frequency question. Applying the concept, we get that the relative frequency of gluten free breads sold at store A compared to those sold at all stores combined is 0.1667.
Relative frequency:
The relative frequency of a to b is given by a divided by b.
In this question:
a: Gluten free breads sold at store A
b: Gluten free breads sold at all stores combined.
2 + 7 + 3 = 12 gluten free breads sold.
2 sold at store A, so:
[tex]\frac{2}{12} = \frac{1}{6} = 0.1667[/tex]
Thus, the relative frequency of gluten free breads sold at store A compared to those sold at all stores combined is 0.1667.
Another example of a problem involving relative frequency you can check at https://brainly.com/question/20630951
Relative Frequency:
The relative frequency of gluten-free breads sold at Store A compared to those sold at all the stores combined is:
= 0.167
Data and Calculations:
Gluten-Free Breads at Different Stores
Gluten-Free Not Gluten-
Breads Free Breads
Store A 2 4
Store B 7 10
Store C 3 12
Since we are only considering Gluten-Free Breads at the three stores, we take the relevant data to calculate and compare their frequencies as follows:
Gluten-Free Relative
Breads Frequency
Store A 2 0.167 (2/12) = 17%
Store B 7 0.583 (7/12) = 58%
Store C 3 0.250 (3/12) = 25%
Total Gluten-free 12 1 = 100%
Thus, the relative frequency of gluten-free breads sold at Store A compared to those sold at all the stores combined is 0.167.
Write the standard form of the equation of the circle with radius 6 and center (−3,3)
Answer:
(x+3)^2+(y-3)^2=36
Step-by-step explanation:
Standard equation of circle is (x-a)^2+(y-b)^2=r^2
14 80 tiles of side 30cm were used to cover a counter top. Calculate the area of the counter top in square metres.
Answer:
Step-by-step explanation:
1,480 is a lot of tiles. Did you mean 80 tiles?
30 cm = 0.3 m
Area of one tile = 0.3² m² = 0.09 m²
Multiply the number of tiles by 0.09 m².
8. Add.
445,976 + 37,415 =
Find a9 for the geometric sequence 5, –20, 80, ...
Answer:
327680
Step-by-step explanation:
The general formula of the formula for the sequence is 5*(-4)^(n-1). The 9th term will be 5*(-4)^8=327680
Se o preço de 8 potes de nutella é 288 reais, qual e o preço se 5 potes de Nutella
Scientists have increased their ability to make observations beyond their own senses through the invention of specialized equipment such as Xray telescopes.
Which best explains how such technology has affected society?
Technology has replaced humans' need for independent observation and thought.
Technology has replaced humans' need for independent observation and thought.
Technology has replaced the need for the experimentation in the scientific process.
Technology has replaced the need for the experimentation in the scientific process.
Human knowledge of the universe is limited by ineffective technology.
Human knowledge of the universe is limited by ineffective technology.
Human knowledge of the universe beyond Earth has increased.
Answer:
D
Step-by-step explanation:
A is rather a strange choice. The tools are used as extensions of our senses. That's all that technology has done. We still need to observe things for ourselves if we are to learn. I actually really do not know what this statement means. My answer reflects what I think is true. Our need to observe and think is not hindered.
B is never going to be true. We still have to test things out, even with the best tools that we have.
C: The exact opposite is true. Our knowledge of the universe has expanded beyond our belief with the better tools of technology that we have.
D: This is the opposite of C and is the answer.
(4m-n-3). 12n13
8m 20
Answer:
24n^7/m^16
Step-by-step explanation:
Just simplify and rewrite what ever you get simplify again 2 times and now make the calculation as you see every big number is a whole number and is a pair.
What is the area of the right triangle with sides 10,26 and 24
Answer:
[tex]\boxed {\boxed {\sf 120 \ units^2}}[/tex]
Step-by-step explanation:
We are asked to find the area of a triangle. The formula for calculating this is:
[tex]a= \frac{1}{2} bh[/tex]
This is a right triangle, so the base and height are the legs of the triangle. The 2 smallest sides are the legs because the longest side is the hypotenuse. Since the side lengths are 10, 26, and 24, the base and height must be 10 units and 24 units.
b= 10 unitsh= 24 unitsSubstitute these values into the formula.
[tex]a= \frac{ 1}{2} ( 10 \ units)(24 \ units)[/tex]
Multiply the numbers in parentheses.
[tex]a= \frac{1}{2}(240 \ units^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]a= 120 \ units^2[/tex]
The area of the triangle is 120 units squared.
A wall that is 10 feet high and 16 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 4 feet by 7 feet, determine the area of the space to be painted.
Answer:
104 square feet
Step-by-step explanation:
Total area of the wall: 10 x 16 = 160 square feet
Area of each window: 4 x 7 = 28
Since there are 2 windows, the total area that should not be painted is 28 x 2 = 56 square feet
160 - 56 = 104 square feet
To determine the area of the space to be painted on a wall with two rectangular windows, we need to calculate the total area of the wall and subtract the area of the windows.
First, let's calculate the area of the wall. The wall is 10 feet high and 16 feet wide, so the total area of the wall is: Area of wall = height × width = 10 feet × 16 feet = 160 square feet Next, let's calculate the area of each window. Each window is 4 feet high and 7 feet wide, so the area of each window is: Area of window [tex]= height × width = 4 feet × 7 feet = 28[/tex] square feet Since there are two windows, the total area covered by the windows is 2 times the area of one window,
Which is: Total area of windows [tex]= 2 × 28[/tex] square feet = 56 square feet Finally, we can calculate the area of the space to be painted by subtracting the total area covered by the windows from the total area of the wall: Area to be painted = Area of wall - Total area of windows = 160 square feet - 56 square feet = 104 square feet Therefore, the area of the space to be painted on the wall is 104 square feet.
To know more about square feet visit:
https://brainly.com/question/11426645
#SPJ2
9/10 - 4/10 = _
PLEASE ANSWER!! :)
Answer:
5/10
Step-by-step explanation:
Answer:0.5
Step-by-step explanatiolos divides ambos y después restarlos 0
Find the equation of a line perpendicular to 5x-4y=-3 that contains the point (5,3)
Step-by-step explanation:
Equation of given line:
5x-4y=-3
4y=5x+3
y=5/4 x+3
given slope=5/4
Lines are perpendicular so :
required slope=-4/5
By using point slope form:
y-3=-4/5(x-5)
5y-15=-4x+20
5y=-4x+20+15
5y= -4x+35
y=-4/5x+7
Note:if you need to ask any question please let me know.one-sixteenths are there in 3 wholeshow many 1/16 are in 3 wholes
Answer:
48
Step-by-step explanation:
3 divided by 1/16 = 48/16 divided by 1/16
= 48 1/16 in 3 wholes
A electrical goods retail warehouse concludes from a customer survey that 40% of customers who seek advice from the sales staff buy an appliance and that 20% of those entering the warehouse who do not seek such advice buy an appliance. If 30% of all customers entering the warehouse seek advice, what is the probability that a customer entering the warehouse buys an appliance.?
Let [tex]c[/tex] denote the number of customers.
The number of customers that seek advice is [tex]0.3c[/tex].
The number of customers that do not seek advice is thusly [tex](1-0.3)c=0.7c[/tex]
40% of the customers that do seek advice buy a device, denoted with [tex]0.4\cdot0.3c=0.12c[/tex] that is 12% of the total customers here buy a device.
20% of the customers that do not seek advice buy a device, denoted with [tex]0.2\cdot0.7c=0.14c[/tex] so 14% of the total customers here buy a device.
Together, the percentage of customers that will buy an applicance on the end of the day is [tex]12\%+14\%=26\%[/tex].
So the probability from that follows that when a customer enters the shop there exists a 26% probability that the customer will end up buying a device.
Hope this helps :)
IS THSI RIGHTTTTTTTT??????????????
Answer:
No. It is EF and GH
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
The answer will be EF and GH, both are 7 units long.
WORTH 30 POINTS PLEASE HELP!!!!! WILL GIVE POINTS
Answer:
2/3 and 4/6
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line show negative (3, 2) and (0, -2)
Answer:
My answer is 3 over 2 and O over - 2
Step-by-step explanation:
This is my explanation but I'm not sure if I'm right
The length of a rectangle is twice its width. If the area of the rectangle is 72in², find its perimeter
Let breadth be x
Length=2x[tex]\\ \sf\longmapsto Area=Length\times Breadth[/tex]
[tex]\\ \sf\longmapsto 72=2x(x)[/tex]
[tex]\\ \sf\longmapsto 2x^2=72[/tex]
[tex]\\ \sf\longmapsto x^2=\dfrac{72}{2}[/tex]
[tex]\\ \sf\longmapsto x^2=36[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{36}[/tex]
[tex]\\ \sf\longmapsto x=6[/tex]
Length=6×2=12inBreadth=6in[tex]\\ \sf\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \sf\longmapsto Perimeter=2(12+6)[/tex]
[tex]\\ \sf\longmapsto Perimeter=2(18)[/tex]
[tex]\\ \sf\longmapsto Perimeter=36in[/tex]
Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum
Answer:
Hello,
Step-by-step explanation:
We divide the interval [a b] in n equal parts.
[tex]\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\[/tex]
[tex]\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\ (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\[/tex]
[tex]=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3} \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\[/tex]
find lub and glb of the following set E={0.2, 0.23, 0.234, 0.2343, 0.23434, 0.234343,.....}
The lub is 0.23[tex]\mathbf{\overline{43}}[/tex], while the glb is 0.2
The given set is presented as follows;
E = {0.2, 0.23, 0.234, 0.2343, 0.23434, 0.234343,...}
The least upper bound, lub, of a set, E, is known as the supremum of the set which is the number B such that all x ∈ E are of the value x ≤ B, while there all y ∈ E has a x ∈ E such that t < x
Therefore;
The supremum, lub of the given set is 0.23[tex]\overline{43}[/tex]
The greatest lower bound, glb, b, also known as the infimum, is defined as follows;
b is the greatest lower bound if for all x ∈ E then x ≥ b
Given that b < t, then where x ∈ E, there exist a x < t
The glb of the given set is 0.2
Learn more about lub, supremum, glb, infimum, here;
https://brainly.in/question/23591741
6. How many rational number are there Between ⅕and⁹/⁵
9514 1404 393
Answer:
an infinite number
Step-by-step explanation:
Between any pair of numbers, there are ...
an infinite number of rational numbers, and
an infinite number of irrational numbers
What is the value of 2 in 9,274
Answer:
200
Step-by-step explanation:
4 is in the ones place so 4 just 4
7 is in the tens place so it is 70
2 is the hundreds place so 200
9 is in the thousands place so 9.000
Two cars started from the same place at the same time but travelled in opposite directions. After 9 hours they were 910 kilometers apart. If the speed of one car is 10 kilometers per hour slower than the other what were their speeds per hour
Answer:
55.55 and 45.55
Step-by-step explanation:
Let the car 1 speed be x km/hr and car 2 speed be x-10 km/hr.
Their relative velocity is 2x-10.
Distance covered in 9 hrs=9(2x-10).
18x-90=910, x=55.55 km/hr, x-10=45.55km/hr
Find the area of the shape shown below.
Answer:
28 units²
Step-by-step explanation:
Area of trapezoid =
2(8 + 4)/2 = 12
Area of rectangle =
2 x 8 = 16
16 + 12 = 28
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A cylinder has a radius of 6 inches and is 15 inches tall what is the volume of the cylinder round to the nearest whole square inch
Answer:
V=TT r²h
Step-by-step explanation:
TT=3.14
r=6
h=15
V=TTr²h
V=3.14×6²×15
V=3.14×36×15
V=1695.6inch³
Rs 600 will gave Rs 90 simple interest at 5 % per annum.
Step-by-step explanation:
interest=90
principal=600
rate=5%
time = I × 100/p×r
= 90×100/600×5
= 3 years.
a) An orange weighs 155 grams.
What's the weight of the orange in kilograms?
Answer: 0.155 kilogram
===================================================
Work Shown:
To convert from grams to kilograms, you divide by 1000
155 grams = 155/1000 = 0.155 kilogram
