Answers
Answer:
-2 and -1
Step-by-step explanation:
The range would be inside the red half circle and since it is below the horizontal middle line, it is negative. Both -1 and -2 are in the range of the red half circle, both of them are the answer
Related Questions
How many variables for these charts below
Answers
Answer:
2
Step-by-step explanation:
PLEASE HELP MEEEEEEEEE
Answers
Answer:
Step-by-step explanation:
I will mark you brainiest!
What is the measure of angle R?
A) 17 degrees
B) 25 degrees
C) 34 degrees
D) 65 degrees
Answers
The measure of angle R is approximately 91.8 degrees.
How to find the value angle R?We can use the law of cosines to solve for angle R in triangle PQR, since we know the lengths of two sides and the included angle:
\(c^2 = a^2 + b^2 - 2ab cos(C)\)
where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
In this case, we want to solve for angle R, so we'll use c = PR = 36, a = PQ = 20, and b = QR. We can find QR using the Pythagorean theorem, since triangle PQR is a right triangle with right angle at Q:
\(QR^2 = PR^2 - PQ^2\)
\(QR^2 = 36^2 - 20^2\)
\(QR^2 = 776\)
\(QR = \sqrt(776) = 28\sqrt(2)\)
Now we can use the law of cosines to solve for angle R:
\(c^2 = a^2 + b^2 - 2ab cos(C)\)
\(36^2 = 20^2 + (28sqrt(2))^2 - 2(20)(28sqrt(2)) cos(R)\)
\(1296 = 400 + 784 - 1120\sqrt(2) cos(R)\)
\(cos(R) = (400 + 784 - 1296)/(1120\sqrt(2))\)
cos(R) = -0.0271
R = arccos(-0.0271)
R = 91.8 degrees (rounded to one decimal place)
Therefore, the measure of angle R is approximately 91.8 degrees.
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1. ALUMMUNI PLC. Produces three models of tractors: Metakeb, Mewesson, Metekem Each unit of Metakeb, Mewesson and Metekem requires the following amounts of time in minumtes in each of the indicated departments.
Machining dep't
Inspection dep't
(in minutes)
(in minutes)
(in minutes)
Metakeb
1200
2400
600
Mewesson
1800
1200
3000
Metekem
3000
Assembly dep't
2400
1200
Suppose the total time available per month in machining, assembly and inspection departments are 1050, 1160 and 830 hours respectively.
Required:
Determine the number of units of each product to be produced in a month to use up all the available resources (use Gaussaian method)
Answers
The company should produce 5 units of Metakeb tractors, 8 units of Mewesson tractors, and 16 units of Metekem tractors in a month to use up all the available resources.
What is equations ?
An equation is a mathematical statement that shows that two expressions are equal. It consists of two expressions separated by an equals sign. For example, 3x + 5 = 14 is an equation that states that the sum of 3 times x and 5 is equal to 14.
Let x, y, and z be the number of units of Metakeb, Mewesson, and Metekem tractors produced, respectively.
Then we have the following system of equations based on the time required in each department:
\(1200x + 1800y + 3000z &\leq 63000 \\&&\text{(machining department)}\2400x + 1200y + 1200z &\leq 69600 \\&&\text{(assembly department)}\600x + 3000y &\leq 49800 \\&&\text{(inspection department)}\)
Converting the hours to minutes, we get:
Machining department: 1050 hours = 63,000 minutes
Assembly department: 1160 hours = 69,600 minutes
Inspection department: 830 hours = 49,800 minutes
We can rewrite the system of equations as follows:
\(20x + 30y + 50z &\leq 1050 &&\text{(machining department)}\\ \\10x + 5y + 5z &\leq 580 &&\text{(assembly department)}\\ \\x + 5y &\leq 83 &&\text{(inspection department)}\\ \\\)
To use Gaussian elimination to solve the system of equations, we first write the augmented matrix:
\(\begin{bmatrix}20 & 30 & 50 & | & 1050 \\10 & 5 & 5 & | & 580 \\1 & 5 & 0 & | & 83\end{bmatrix}\)
Performing row operations to obtain row echelon form:
\(\begin{bmatrix}20 & 30 & 50 & | & 1050 \\0 & -55 & -95 & | & -790 \\0 & 1 & -5/4 & | & -1.35\end{bmatrix}\)
Next, perform additional row operations to get the matrix in reduced row echelon form:
\(\begin{bmatrix}20 & 30 & 50 & | & 1050 \\0 & 1 & 19/55 & | & -14.36 \\0 & 0 & 367/55 & | & 105.36\end{bmatrix}\)
Finally, solve for the variables:
\(z &= \frac{105.36}{367/55} = 16 \\ \\y + \frac{19}{55}z &= 14.36 \\ \\y + \frac{19}{55}(16) &= 14.36 \\ \\y &= 8 \\ \\20x + 30y + 50z &= 1050 \\ \\20x + 30(8) + 50(16) &= 1050 \\ \\20x &= 90 \\ \\x &= 4.5\)
Therefore, the company should produce 4.5 units of Metakeb tractors, 8 units of Mewesson tractors, and 16 units of Metekem tractors in a month to use up all the available resources. Since we cannot produce fractional units, we can round up the values of x and y to obtain a feasible production plan of 5 units of Metakeb tractors and 8 units of Mewesson tractors.
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5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.
Answers
Answer:
\(\text{27}\)
Step-by-step explanation:
Given that :
\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)
\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)
Number of poster signs that can be cut :
\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)
\(\text{Area of poster board} = 1 \ \text{yard}^2\)
Number of poster signs that can be cut :
\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)
\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)
\(1 \div \dfrac{1}{27}\)
\(1 \times \dfrac{27}{1}\)
\(\bold{= 27 \ poster \ signs}\)
Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}
Answers
Answer:
Step-by-step explanation:
U={x|x∈N and x<10}
or U={1,2,3,4,5,6,7,8,9}
B={x|x∈N and x is even and x<10}
or
B={2,4,6,8}
C={x|x∈N and x<10}
or
C={1,2,3,4,5,6,7,8,9}
(B∩C)={2,4,6,8}
(B∩C)'={1,3,5,7,9}
12 is 58% of what number?
Also can you explain how to solve these problems?
Answers
Answer:
20.68976
Step-by-step explanation:
Convert the percentage into decimal :
58% = 0.58
0.58 × x = 12
Divide both sides by 0.58 :
x = 12÷0.58
x = 20.689655...
x = 20.68976
So the method to these types of question is to make the question into an equation by converting the percentage into a decimal, rearrange to make the unknown number the subject and solve .
Hope you understood and have a good day
Find the measure of
Answers
The measure of ∠A is 123 degrees.
How to find the measure of angles?The angle made between the radius and the tangent at the point of contact on a circle is 90°.
Therefore,
∠D = 90 degrees
∠E = 90 degrees
The diagram ACDE forms a quadrilateral. The sum of angles in a quadrilateral is 360 degrees. Therefore, we have to equate the sum of the quadrilateral angles to 360 degrees.
Hence,
90 + 90 + 2x + 7 + 5x - 2 = 360
180 + 7x + 5 = 360
7x = 360 - 180 - 5
7x = 180 - 5
7x = 175
x = 175 / 7
x = 25
Therefore,
∠A = 5(25) - 2 = 125 - 2 = 123 degrees.
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cual es la rai cuadrada de 999 y de 666
Answers
Answer:
666: La Segunda Raíz o Raíz Cuadrada del número 666 es 25.8069758011
Esto se comprueba multiplicando 25.8069758011 por si mismo, debe arrojar como resultado 666
999:La Segunda Raíz o Raíz Cuadrada del número 999 es 31.6069612586
Esto se comprueba multiplicando 31.6069612586 por si mismo, debe arrojar como resultado 999
Por, Daruing ;) aka hernadar004
What is the percent of 1 - 3√(5/35) ?
Answers
Answer:
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%
Step-by-step explanation:
To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.
1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
To convert this decimal to a percentage, we simply multiply by 100:
0.0755 * 100 = 7.55%
Graph the line that passes through the point (0,-7) and (-3,-9) and determine the equation of the line
Answers
Answer:
The equation is y=2/3x-7
Step-by-step explanation:
-9-(-7) /-3-0
-2/-3
that's your answer
consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where the function is concave up. (Enter your answer in interval notation,do not round). (b) Find the interval(s) where the function is concave down. (Enter your answer in intervalnotation, do not round).
Answers
Answer:
a)\(X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)\)
b)\(Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )\)
Step-by-step explanation:
From the question we are told that
The Function
\(f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}\)
Generally the differentiation of function f(x) is mathematically solved as
\(f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}\)
\(f(x)=\frac{x^3+x^2+5x+1}{x^2}\)
Therefore
\(f'(x)=\frac{x^2+10x+3}{x^4}\)
Generally critical point is given as
\(f'(x)=0\)
\(\frac{x^2+10x+3}{x^4}=0\)
\(x=-5 \pm\sqrt{22}\)
Generally the maximum and minimum x value for critical point is mathematically solved as
\(f'(-5 \pm\sqrt{22})\)
Where
Maximum value of x
\(f'(-5 +\sqrt{22})<0\)
Minimum value of x
\(f'(-5 +\sqrt{22})<0\)
Therefore interval of increase is mathematically given by
\(f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})\)
\(f(x)<0,-\infty<x<(f'(-5 -\sqrt{22})) ,(f'(-5 +\sqrt{22}))<x<0,0<x< \infty\)
Therefore interval of decrease is mathematically given by
\((-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)\)
Generally the second differentiation of function f(x) is mathematically solved as
\(f''(x)=\frac{2(x^2+15x+6)}{x^5}\)
Generally the point of inflection is mathematically solved as
\(f''(x)=0\)
\(x^2+15x+6=0\)
Therefore inflection points is given as
\(x=\frac{1}{2} (-15 \pm \sqrt{201}\)
\(f''(x)>0,\frac{1}{2}(-15-\sqrt{201}) <x<\frac{1}{2}(-15-\sqrt{201}) <x<0\)
a)Generally the concave upward interval X is mathematically given as
\(X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)\)
\(f''(x)<0,-\infty<x<\frac{1}{2}(-15-\sqrt{201}) , \frac{1}{2}(-15-\sqrt{201}) <x<0\)
b)Generally the concave downward interval Y is mathematically given as
\(Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )\)
a recipe for cooking turkey says to allow 15 minute cooking for each pound of turkey and to add 5 minutes additional cooking time per pound if the turkey is stuffed. this turkey weighs 15 pounds and will be stuffed. after cooking, the turkey will need 1/2 hour wait time for cooling and carving. what is the independent and dependent
Answers
The doctor had the opinion about the boy that it world
hare been better is he had velict
what is (1/2 + isqrt3/2)^5?
Answers
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
find the total composite area
Answers
Answer:
Times, and conquer.
Step-by-step explanation:
First half the picture, for the circle and square. so we know the base is 28m, and the length including the circle is 24. So now times the two numbers and bam your answer.
What is the surface area of the image below I’ll give b brainliest
Answers
Answer:
50(5π + 6) cm²
Step-by-step explanation:
TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle
= 1/2 of 2πr(h+r) + 20*15
= πr(h+r) + 300
= 10π(15+10) + 300
= 250π + 300 cm²
or 50(5π + 6) cm²
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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is it true or false that the highest common factor of 36 and 60 is 4
Answers
\( \: \)
fill in the box in the column of the expression that is equivalent to each expression on the side of the chart
Answers
The equivalent of the expressions are solved to given the following
2(4x + 3y) - 2x - 2y = 2(3x + 2y)2(4x + 3y) + 2(x + y) = 2(5x + 4y)2(4x + 4y) - 2x + y = 3(2x + 3y)How to find the equivalent expressionsThe distributive property of multiplication is applied to find the equations as follows
2(4x + 3y) - 2x - 2y
= 2(4x + 3y - x - y)
= 2(3x + 2y)
hence the given equation can be rewritten as 2(3x + 2y)
2(4x + 3y) + 2(x + y)
= 2(4x + 3y) + 2x + 2y)
= 2(4x + 3y + x + y)
= 2(5x + 4y)
hence the given equation can be rewritten as 2(5x + 4y)
2(4x + 4y) - 2x + y
= 8x + 8y - 2x + y
= 6x + 9y
= 3(2x + 3y)
hence the equivalence of the given equation is 3(2x + 3y)
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Albert starts with $25 on his movie rental card. Each day for 4 days he rents a movie and $5 is deducted from the card.
Answers
Answer:What answer do you want, how much money is left? Because I'm confused, that is what I will answer. 4 times 5 is 20, and 25-20 is 5$ left.
Answer: There are 5 dollars left, and 20 dollars deducted.
Step-by-step explanation:
4 x 5 = 20
20 - 25 = 5
You must multiply 5 by the number of days there are. Then subtract that number from the total.
An aquarium has 5 gallons of water in it and is being filled up at a rate of g gallons every m minute. The amount of water w in the tank can be represented by the equation
w = 5 + g - m. Write an equation that can be used to find the number of minutes m the tank has been filled if we know w and g.
Write an equation that can be used to find the number of minutes g the tank has been filled if we know w and a.
Answers
Answer:
m=5+g-w
Step-by-step explanation:
This should be the answer based on the equation given.
Answer:
See belowStep-by-step explanation:
The equation for the amount of water is:
w = 5 + gmSolve for m:
gm = w - 5m = (w - 5)/gNow solve for g:
gm = w - 5g = (w - 5)/m3
1
Jill walked on Tuesday 3-miles. On Wednesday, she walked 1
less than on Tuesday. Which equati
5
4
total number of miles Jill walked, w, on Tuesday and Wednesday?
0 = 3/3² + 1² = w
Answers
The equation that shows the total number of miles Jill walked, w, on Tuesday and Wednesday is w = 3 + 2
Calculating the equation shows the total number of milesFrom the question, we have the following parameters that can be used in our computation:
Tuesday = 3 miles
Wednesday = 1 less than Tuesday
This means that
Wednesday = 3 miles - 1 mile
Evaluating the like terms, we have
Wednesday = 2 miles
The equation shows the total number of miles Jill walked, w, on Tuesday and Wednesday is represented as
w = Tuesday + Wednesday
Substitute the known values in the above equation, so, we have the following representation
w = 3 + 2
Evaluate
w = 5
Hence, the equation is w = 3 + 2 and the number of miles s 5
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Find the sample standard deviation. 7,17,16,10,9,8,15,13,11
Answers
SD would be = 3.6324 look at the picture
Find each value given the following function:
Answers
Answer:
Step-by-step explanation:
1) f(-4) --> if x < or equal to 3
2) 1/(-4)-4
3) The answer is - 1/8
Draw a quadrilateral that does not belong. Then explain why.
Answers
Answer:
hfstjstjsjtkkktssssss*
Step-by-step explanation:
eee,eo,e,oe,,e,oosttsyydddoydo,dyysuyy,,dddyst
round 12.083 to the neatest tenth
Answers
Answer: 12.1
Step-by-step explanation: rounding 12.083 to the nearest tenth will leave you with- 12.1
hope this helps!
Sal's pizzeria charges $414 for 23 pizzas what does the pizzeria charge for one pizza
Answers
Answer: $18
Step-by-step explanation:
414 divided by 23 = 18
So, 18 is your answer
Answer:
Cost of 1 pizza = $18
Step-by-step explanation:
Given information,
→ 23 pizzas = $414
Now we have to,
→ Find the required cost of 1 pizza.
Let us assume that,
→ 1 pizza's cost = p
Forming the equation,
→ 23 pizzas × p = $414
Then the value of p will be,
→ 23 × p = 414
→ p = 414 ÷ 23
→ [ p = $18 ]
Hence, the value of p is 18.
A university has raised $6,000 for a new scholarship fund. A university trustee offers to match the donation up to 30% if the university can raise $5,000 more for the fund. If the university is able to raise the extra amount, how much money will be in the fund after the trustee's donation?
Answers
Answer:
$14300
Step-by-step explanation:
30% is the same as .3
They are raising 5k more to the 6k so 5000+6000= 11000
.3*11000= 3300...so the trustee is adding 3300 to the fund, making the total fund 3300+11000= $14300
The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism. When the large prism was reduced, the surface area changed by a factor of . . . .
Answers
Answer:
16/25 (B)
The complete question related to thus found on brainly (ID: 10153234) is stated below:
The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.
When the large prism was reduced, the surface area changed by a factor of
A. 64/125
B. 16/25
C. 4/5
D. 10/8
Find attached the diagram
Step-by-step explanation:
In dilation, two figures have same shape but different size.
The triangular prism was dilated to create a new prism.
The larger triangular prism is the original shape
The smaller triangular prism is the new shape
Let the scale factor = p
For larger prism: the length = breadth = height = 10unit
For smaller prism: the length = breadth = height = 8unit
Surface area of smaller triangular prism = p × surface area of larger triangular prism
p = (Surface area of smaller triangular prism)/(surface area of larger triangular prism)
In similar shapes, the ratio of their areas = square of the ratio of their corresponding sides.
Let's take the height of each shape
Ratio of their corresponding sides (height) = 8/10
p = ratio of areas = (8/10)²
p = 64/100
p = 16/25
Answer:
16/25
Step-by-step explanation:
edge 2021
please help with linear function equations
Answers
Answer:
f(x) = 0.5x
Step-by-step explanation:
For this problem, we simply have to find the constant of proportionality between x and f(x). In other words, what x is multiplied by to get f(x).
Since this proportion is constant (meaning it doesn't change), all we have to do is divide an f(x) value in the table by its corresponding x value.
p = f(x) / x
p = -2 / -4
p = 1/2 = 0.5
We can show the relationship of x to f(x) with the equation f(x) = px, which can be simplified using the constant of proportionality that we just solved for.
f(x) = 0.5x