26 potters will be required to make 169 pots in 4 days.
Given: 11 potters can make 143 pots in 8 days.
Step 1:
1 potter makes 143 pots in 8 × 11 days.
1 potter can make 1 pot in
(8 × 11)/143 days.
Step 2:
Let the number of potters required be x, then
x potters can make 1 pot in (8 × 11)/( 143 × x) days
x potters can make 169 pots in (8 × 11 × 169)/(143 × x ) days
Step 3:
The number of days given is 4. Hence equating the above equation to 4.
(8 × 11 × 169)/(143 × x ) = 4
Step 4:
Solve for x
14872/(143x) = 4
572x = 14872
x = 14872/572
x = 26
Thus, 26 potters will be required to make 169 pots in 4 days.
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In January, Emma was 62.25 in tall. In December, she was 65.5 inches tall. How much did Emma grow between January and December?
A. 2 inches
B. 3.25 inches
C. 5.5 inches
D. 4 inches
Answer: B. 3.25 inches
Step-by-step explanation:
two months right next to each other
65.5 = final
62.25 = start
65.5 - 62.25 = 3.25 inches
Answer:
3.25
Step-by-step explanation:
65.5 - 62.25
Question 13 (4 points) (05.03) Which of the following statements best describes the graph of -5x + 2y = 1? (4 points)
A) It is a curve joining the points (-5, 2), (2, 3), and (4, 1).
B)It is a curve joining the points (-1, -3), (-1, -3), and (1, 5).
C)It is a straight line joining the points (1, 3), (3, 8), and (-3, -7).
D)It is a straight line joining the points (4, -3), (-1, 2), and (-4, 5).
Answer:
C) straight line through (1, 3) ... (-3, -7)
Step-by-step explanation:
The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.
__
interceptsThe x-intercept is the value of x that satisfies the equation when y=0.
-5x +2·0 = 1
x = -1/5 . . . . . . divide by the coefficient of x
The y-intercept is the value of y that satisfies the equation when x=0.
-5·0 +2y = 1
y = 1/2 . . . . . . divide by the coefficient of y
nature of the graphThe intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.
Of the offered answer choices, A and B are eliminated because the graph is not a curve. D is eliminated because the suggested points have coordinates with opposite signs. The correct choice is C:
It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)
In a group of 42 students, 9 study both Art and Biology.
10 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
help asap
I keep getting this question wrong
A Triangle
36 cm
perimeter
square
=40cm
perimeter
put them both together
find the
perimeter?
Answer:
58 cm
Step-by-step explanation:
if both shapes are squares, then the perimeter must be divide by all 4 equal sides
36 / 4 = 9, so each side of the first shape is 9 cm
40 / 4 =10 , so each side of the second shape is 10 cm
by putting the shapes together two of the side seal 1 side of each shape but 10-9 is 1 so add all three sides of the rest of the shape,
so 9+ 9+ 9= 27, then the three side of the second shape,
so 10+ 10+ 10= 30, then that extra 1 cm of difference from the size difference when put together,
so 27+ 30+ 1= 58 cm
abc buys widgets for $5 cash and sells them on account for $8. what is the benefit value of a widget on the books of abc?
The benefit value of the widget on the books of abc is $8
How to determine the benefit value?The given parameters are:
Cost price = $5 cash
Selling price = $8 account
The benefit value of the widget is the same as their selling price on account
Hence, the benefit value of the widget is $8
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Which of the following is a ballistic stretching exercise?
A.
calf stretch
B.
arm circles
C.
yoga plow
D.
hurdle stretch
Answer:
B. Arm circles
Hope you have a great day :)
I need these answers ASAP would be very grateful for these if you would like to help me out I would appreciate it and give a good amount of points!
Answer:
5. c = 8pi cm
6. c = 18pi ft
7. c = 8.6pi in
8. c = 11/2pi m
Step-by-step explanation:
The circumference of a circle can be easily found using the formula: c = [tex]\pi[/tex]d, where the diameter is d.
Now you just plug your numbers into the formula!
5. c = pi x d
c = 8pi cm
6. This one gives you the radius instead of the diameter. All you need to do now is to double the radius to find the diameter.
9 ft x 2 = 18 ft
Now, it follows the formula.
c = pi x d
c = 18pi ft
7. c = pi x d
c = 8.6pi in
8. c = pi x d
c = pi x 2(2 3/4m) - Note that this is a mixed fraction. To be able to multiply it, you need to convert it to an improper fraction.
c = pi x 2(11/4)
c = pi x 11/2
c = 11/2pi m
:)
What is the inverse of this function?
f(x) = -√x +3₁ x ≥ −3
f-¹(x) =
2-
-
for x ≤
Answer:
f(x)^-1=x^2-3
Step-by-step explanation:
So I'm assuming you meant to include the 3 in the radical as well which would make sense given the domain restriction. To find the inverse you simply swap the x and y since the inverse function is when the domain and range are swapped.
[tex]y=-\sqrt{x+3}\\x=-\sqrt{y+3}\\-x=\sqrt{y+3}\\(-x)^2=y+3\\x^2-3=y\\f(x)^{-1}=x^2-3[/tex]
Chords AC and BD intersect in circle O as shown in the diagram. Two of the angle measurements are marked. What is mL CED?
Answer:
By using the formulas of circle and geometry, we find that ∠CED = 65°.
Step-by-step explanation:
We know that the measure of the interior angle is the half sum of the arcs comprising it and its opposite, so
∠CED = 0.5 × (arc AB + arc CD)
See the attached figure with letters to better understand the problem
arc AB = 82° (by central angle)
arc CD = 48° (by central angle)
Substitute the values in the formula above
∠CED = 0.5 × (82° + 48°)
∠CED = 0.5 × 130°
∠CED = 65°
Therefore the answer is ∠CED = 65°
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What should you do before creating a research question for a presentation? Check all that apply. create an outline to organize my ideas pick the right font for any text that is included review the topic and what the prompt asks for think of an argument or an opinion if necessary consider what I know and what I need to know choose visuals to include with the presentation
The things that are to be done before creating a research question for a presentation are: option C, D, and E.
What is a research question?A research question can be defined as an issue, event or subject of inquiry that a researcher is keenly and deeply interested to provide a response or an answer to, when conducting a research.
Basically, the things that are to be done before creating a research question for a presentation are:
Review the research topic and what the prompt asks for.Think of an argument or an opinion if necessary.Consider what I know and what I need to know.Learn more about research question here: brainly.com/question/10129052
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Answer:
C, D, E
Step-by-step explanation:
Do this for me x+y=6
Answer:
A = 8 ; B = 6 and C = 4
Step-by-step explanation:
(-2) + A = 6
A = 6 + 2
A = 8
0 + B = 6
B = 6
2 + C = 6
C = 6-2
C = 4
IMPORTANT, PLEASE HELP QUICKLY! 15 POINTS
Explain how to factor the expression q(x)=9x2−24x+16 to the expression q(x)=(3x−4)2 . You may show your work. Be sure to include a detailed explanation of your steps.
Answer:
Given function:
[tex]q(x)=9x^2-24x+16[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:
[tex]ac=9 \cdot 16=144[/tex]
Two numbers that multiply to 144 and sum to -24 are: -12 and -12
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies q(x)=9x^2-12x-12x+16[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies q(x)=3x(3x-4)-4(3x-4)[/tex]
Factor out the common term [tex](3x-4)[/tex]:
[tex]\implies q(x)=(3x-4)(3x-4)[/tex]
Therefore:
[tex]\implies q(x)=(3x-4)^2[/tex]
A survey participant is randomly selected. Let F be the
event that the participant's first motor vehicle had four
cylinders and let C be the event that the participant's
first motor vehicle was a car. What is the value of PIF
The probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is:
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table(please refer to the attached picture)
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59B) 0.68C) 0.71D) 0.80We have to find the value of P(F or C):
[tex]\rm P( F \ or \ C) = \dfrac{118+6+18+16+2}{118+6+18+16+12+20+2+6+2}[/tex]
[tex]\rm P( F \ or \ C) = \dfrac{160}{200}[/tex]
P(F or C) = 0.80
Thus, the probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.
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what can this be classified as?
Answer: None of the above
Step-by-step explanation:
Complementary Angles add up to 90
Supplementary Angles add up to 180
Parallel Angles are Supp., Comp., or Congruent
PLS HELP IF POSSIBLE ASAP
The value of y if x is equal to 5 is 75 and the value of y when x = 7 is 8/7
Direct and inverse variationVariations shows the relationship between variables.
4) If y varies directly as x², hence;
y = kx²
27 = 9k
k = 3
In order to determine y if x = 5
y = 3(5*5)
Y = 75
Hence the value of y if x is equal to 5 is 75
5) If y varies inversely as x, hence;
y = k/x
k = xy
k = 16(1/2)
k = 8
If x = 7, the value of y will be;
y = 8/7
Hence the value of y when x = 7 is 8/7
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The graph shows two lines, A and B:
Based on the graph, which statement is correct about the solution to the tC system of equations for lines A and B?
O (3, 4) is the solution to both lines A and B.
© (3, 4) is the solution to line A but not to line B.
O (0, 2) is the solution to both lines A and B.
O (0, 2) is the solution to line A but not to line B.
Answer:
the answer is (3,4) is the solution to line A but to not line B
The __________ and the _________ are two of the most popular and useful methods of standardizing for size and comparing distributions.
The proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
Methods of standardizationProportion is the fraction of favorable cases from the total number of cases. It is defined for both population and sample.
Median is defined as the numeric value separating the higher half of a sample, a population, or a probability distribution, from the lower half of it.
Therefore, the proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
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Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
On a coordinate plane, a parabola has a vertex at (0, 1).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
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Answer:
A
Step-by-step explanation:
I took it
How tall is the tree?
5ft
35°
-20ft-
[? ]ft
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
Nearest foot is 19
Which length is equivalent to 12 yards?
Answer:
36 feet
Step-by-step explanation:
1 yard 3 feet
6 numbers that have a median of 8 a mean of 9 and a range of 13?
Answer:
5,6,8,8,9,18
Step-by-step explanation:
...................
Six less than the product of
twice a number and ten is
twenty.
[tex]\text{First I'd recommend replacing the number with just n.}\\\text{Now, multiply this number by 2:: 2n}\\\text{Multiply 10 by it:: 2n*10}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{6 is subtracted from (2n*10):: (2n*10)-6}[/tex]
[tex]\text{This gives a total of 20}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{(2n*10)-6=20}[/tex]
What is the value of x in the triangle?
Answer:
45 degree=√2/2
√2/2=12√2
we use criss-cross method
√2x/√ 2=12√2/√ 2
×=24
Step-by-step explanation:
if it confused you this is (/)is dividing
hope I helped
please mark me as brainlyst
PLEASE HELP FAST!!!
The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
Angle of elevation and depressionFrom the question given, we have the following parameters
Base of the building = 7feet
Height of the building = 18 feet
Required
angle of elevation
Using the SOH CAH TOA identity
tanФ = opp/adj
tanФ = 18/7
Ф = 68.73 degrees
Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
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Question:
A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.
If f(x) = 2x - 6 and g(x) = x - 2x², find the value of f(2) + g(-3)
Answer:
-23
Step-by-step explanation:
f(2)= 2*2-6 = -2
g(-3)= -3-2*9 = -21
---> f(2)+G(-3)= -2-21 = -23
Answer: -23
Step-by-step explanation:
f(2) + g(-3) means that we will substitute 2 as x into the function f, and add that to -3 substituted as x into function g.
First, we will find the substituted and simplified values of these functions.
f(x) = 2x - 6
f(2) = 2(2) - 6
f(2) = -2
[tex]-----[/tex]
g(x) = x - 2x²
g(-3) = (-3) - 2(-3)²
g(-3) = -21
Lastly, we can add them.
f(2) + g(-3)
-2 + -21
-23
What are the solutions of 3x² + 14x + 16 = 0?
0 x=-₁-2
0 x = -2₁-²2/
0x = ²,2
0x=-₁2
X
Answer:
x = -2, -2
Step-by-step explanation:
3x² + 14x + 16 = 0
(3x+8) (x+2)
x = -8/3
x = -2
The solutions of the quadratic equation 3x² + 14x + 16 = 0 are x = -2 and x = -8/3.
To find the solutions of the quadratic equation 3x² + 14x + 16 = 0, we can use the quadratic formula.
The quadratic formula states that for an equation of the form ax² + bx + c = 0
The solutions for x can be found using the formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation 3x² + 14x + 16 = 0,
a = 3, b = 14, and c = 16.
Substituting these values into the quadratic formula, we get:
x = (-14 ± √(14² - 4.3.16)) / (2 × 3)
x = (-14 ± √(196 - 192)) / 6
x = (-14 ± √4) / 6
Now we have two possibilities for x:
x₁ = (-14 + √4) / 6
x₂ = (-14 - √4) / 6
Simplifying each expression:
x₁ = (-14 + 2) / 6
x₁ = -12 / 6
x₁ = -2
x₂ = (-14 - 2) / 6
x₂ = -16 / 6
x₂ = -8 / 3
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how many nonisomorphic spanning trees does each of these simple graphs have
The characteristics of a nonisomorphic spanning tree are:
One would have 3 vertices of degree 2 and 2 of degree 1, Another spanning tree would have one vertex of degree three, The third spanning tree would have one vertex of degree four.4What is Nonisomorphic?This refers to the quality of a group of things not having the same form and is popularly used in mathematics to show and make identifications of maths objects that are structurally well-defined.
Hence, we can see that your question is incomplete so I gave you a general overview of the topic for better understanding.
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Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth.
Answer: The perimeter of this triangle is 13.47.
Step-by-step explanation:
First you should choose your first two points on the triangle that are on the same line. In this case I'll start with C = (3,3) and B = (8,6)[tex]d = \sqrt{(3 - 8)^2 + (3-6)^2}[/tex]
*Note: Keep X and Y consistent in the distance equation.
The distance for CB = 5.831
After finding this distance continue onto a new set of points to find a new length of the triangle, my second set of points will be A = (5,7) and B = (8,6) to find the length of AB.
[tex]d = \sqrt{(5 - 8)^2 + (7-6)^2}[/tex]
The distance for AB = 3.162
Now you're going to need to use your final to points, in this case for me A and C, and find the length of your final segment. So, I'll use point A = (5,7) and point C = (3,3).
[tex]d = \sqrt{(5 - 3)^2 + (7-3)^2}[/tex]
The distance for AC =4.472
Then find the perimeter by adding up the three side lengths.
AB + CB + AC = P
[tex]5.831 +3.162+4.472=13.465[/tex]
Finally, round 13.465 to the nearest hundredth, 13.47.
*Note: Make sure not to round your answer until the end of the problem to avoid less accurate or even wrong answers.
Write x^2+5x-7 in the form (x+a)^2+b.
Answer: −x2+
5
x
=
7
Move
7
to the left side of the equation by subtracting it from both sides.
−
x
2
+
5
x
−
7
=
0
Once the quadratic is in standard form, the values of
a
,
b
, and
c
can be found.
a
x
2
+
b
x
+
c
Use the standard form of the equation to find
a
,
b
, and
c
for this quadratic.
a
=
−
1
,
b
=
5
,
c
=
−
7
Step-by-step explanation:
