Answer:
$4.32
Step-by-step explanation:
If you are splitting it evenly, just divide 12.96 by 3
12.96 / 3 = $4.32
1. Solve the equation using the zero-product property.
-x(5x – 4) = 0
Answer:
x = 0, 4/5
Step-by-step explanation:
The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero
Here our a term is -x and our b term is (5x - 4)Setting each term equal to zero and solving for x we get-x = 0 → x = 05x - 4 = 0 → 5x = 4 → x = 4/5Royce kept track of the inches of snowfall in his town over a 15-day period. Royce’s data is given below. 1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3 Which box plot shows this data set?
Answer:
The correct option - Figure A
Step-by-step explanation:
The exact question is as follows :
Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
To find - Which box plot shows this data set?
Solution -
Given the data is -
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
Firstly,
Arrange the data from smallest to largest
0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7
Now,
Find the median
Median is the middle value - i.e. (15 + 1)/2 = 8th value
So, we get Median = 2
Now,
Find the Quartile -
The first quartile is the median of the data points to the left of the median.
i.e. Median of 0, 0, 0, 0, 0, 1, 1
so, we get
Q1 = 0
The third quartile is the median of the data points to the right of the median.
i.e. Median of 2, 2, 2, 3, 3, 5, 7
so, we get
Q3 = 3
Now,
Compute the min and the max
Minimum value = 0
Maximum value - 7
So,
five number summary is -
0, 0, 2, 3, 7
And we draw the box as follows -
So,
The correct option - Figure A
Adam is a team leader for a packing and moving company. Today, his team packed 72 boxes in 4 hours. What was his team's packing rate, in boxes per hour?
A.
20 boxes per hour
B.
18 boxes per hour
C.
21 boxes per hour
D.
17 boxes per hour
Answer: 18 boxes per hour
Step-by-step explanation:
72 divided by 4 is 18
A tree that is 12 feet tall casts a shadow that is 6 feet long. What is the distance from the top of the tree to the tip of the shadow? Round to the nearest tenth.
Answer:
13.4 ft
Step-by-step explanation:
[Note: See attached image to go along with explanation]
To solve this problem, we will use the Law of Cosines.
\(c^{2}=a^{2}+b^{2}-2ab(cosC)\)
\(C^{2}=12^{2}+6^{2}-2(12)(6)(cos90)\\C^{2}=144+36-144(0)\\C^{2}=180\\C=\sqrt{180} \\C=13.41640786\)
So, the distance from the top of the tree to the tip of the shadow is 13.4 ft long.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
The sample space for rolling a fair seven-sided die is the one on the first option.
S= {1, 2, 3, 4, 5, 6, 7}
What is the sample space?
For any experiments with some given outputs, the sample space is the set of the possible outputs.
For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}
Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:
S= {1, 2, 3, 4, 5, 6, 7}
So the correct optionis the first one.
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Answer:
The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
that's it simple
The midpoint of UV is point W. What are the
coordinates of point V?
10
8
O (8,9)
0 (-6, -14)
O (2, -23)
6
4
2
0 (s. ]
ㅇ [1]
2
4
6
8
10
X
-10 8 6 4 22
4 6
.
6
W 3.-7) 8
- 10
Answer:
(2,-23)
Step-by-step explanation:
It was just luck I'm starting Geometry this year.
The midpoint of line segment UV is given by M ( -11/2 , 1 )
What is the midpoint of two points?The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Measure the distance between the two end points, and divide by 2.
Let A ( x₁ , y₁ ) be the first point
Let B ( x₂ , y₂ ) be the second point
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
Given data ,
Let the first point be U ( -8 , 9 )
Let the second point be V ( -3 , -7 )
Now , midpoint between U and V is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
On simplifying , we get
a = ( -8 + -3 ) / 2
b = ( 9 - 7 ) / 2
On further simplification , we get
a = -11/2
b = 1
Hence , the midpoint is M ( -11/2 , 1 )
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Which graph represents the function p(x) = |x – 1|?
On a coordinate plane, an absolute value graph has a vertex at (0, 1).
On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).
On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).
The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).
The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).
Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.
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pls help i really need it
Answer:
D
Step-by-step explanation:
Since a fraction is a division problem, you can do every answer and compare them until you get them in order, which D is the most reliable.
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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danny bought a shirt that was first put on sale for 30% off that went on clearance for an additional 40% off. what is the markdown if the original price was $94.99
Answer:
The total is $28.50
Step-by-step explanation:
The angles in a triangle are such that one angle is 30 degrees more than the smallest angle while the third angle is four times as large as the smallest angle find the measure are of all three angles
Answer:
25, 55, 100
Step-by-step explanation:
Let's call the smallest angle x, therefore the other two angles would be x + 30 and 4x. Since the sum of angles in a triangle is 180° we can write:
x + x + 30 + 4x = 180
6x + 30 = 180
6x = 150
x = 25°
x + 30 = 25 + 30 = 55°
4x = 25 * 4 = 100°
The sum of angles is 180.
\( \alpha + \beta + \gamma = 180 \)
\( \alpha + ( \alpha + 30) + (4 \alpha ) = 180\)
\(6 \alpha = 150\)
\( \alpha = 25 \\ \beta= 25+30=55 \\ \gamma= 4.25 =100\)
Find the values of the trigonometric functions of from the information given.
tan() = −5, sin() > 0
sin =
cos() =
csc() =
sec() =
cot() =
Why are you cheating... I will report this to your teacher
Simplify to make an equivalent expression.
-y - 3(-3y+5)
Answer:
8y - 15
Step-by-step explanation
You times the -3y and 5 by the -3.
That leaves -y + 9y - 5
Subtract -y from 9y which is 8y
Since you cant subtract 15 from 8y, you leave it.
Find the square root of
441
Answer:
21
Step-by-step explanation:
√441
Take factors of 441
-> 1,3,7,9,21,49,63,147,441
If you know all of them like this and it’s an odd number, find the middle value that doesn’t have a pair and it’s 21.
If you don’t just take a different value that has a square root. Let’s do 9.
Separate the root into √9*49
Woah, both of those are squares!!
Take the square root of both of those numbers
√9*√49
3*7=21, voila.
It is very easy, we just have to take the square root as it tells us in the problem:
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \red{ \sqrt{441 }} = \orange{21}\)
You may ask ¿why 21?
\(\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \red{21 \times 21} = \orange{441} \)
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf So , \: the \: result \: is \\ \sf \: \: \: \: \longmapsto \orange{21} \)
Apply the distributive property to factor out the greatest common factor of 9+12n
Answer:
Step-by-step explanation:
9 = 3 × 3
12n = 2 × 2 ×3 × n
Greatest common factor = 3
9+12n = 3×3 +3×4n = 3(3+4n)
please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
Jane buys p packets of plain crisps and c packets
of cheese and onion crisps. Write down an
expression for the total number of packets of
crisps Jane buys.
The expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
How to obtain the total number of packets?The amounts of packets of crisps purchased are given as follows:
p packets of plain crisps.c packets of cheese and onion crisps.The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.
Hence the expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
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Someone help me with this!!!!.... Given f(x)=x^2−3x−4
and g(x)=|x+3|−2, which value is a solution to the equation f(x)=g(x) ?
A
−4
B
−3
C
−1
D
4
Answer:
C -1
Step-by-step explanation:
in such a case the simplest way is to simply try the 4 numbers and see :
x² - 3x - 4 = |x + 3| - 2
x² - 3x - 2 = |x + 3|
A x = -4
(-4)² - 3×-4 - 2 = |-4 + 3|
16 + 12 - 2 = 1
26 = 1
wrong.
B x = -3
(-3)² - 3×-3 - 2 = |-3 + 3|
9 + 9 - 2 = 0
16 = 0
wrong.
C x = -1
(-1)² - 3×-1 - 2 = |-1 + 3|
1 + 3 - 2 = 2
2 = 2
correct.
D x = 4
4² - 3×4 - 2 = |4 + 3|
16 - 12 - 2 = 7
2 = 7
wrong.
The upper half of the ellipse centered at the origin Set up the integral that gives the area of the ellipse_ with axes of length 2a and 2b is described by y=bJa2-X as shown in the figure. Find the area dx of the ellipse in terms of a and b
The area of the ellipse in terms of a and b is given by the integral \(\int\limits^a_b {ba2-x2dx.} \,\)
The upper half of the ellipse centered at the origin with axes of length 2a and 2b is described by, ba2-x2dx. as shown in the figure. To find the area of the ellipse in terms of a and b, an integral can be set up. The integral is given by\(\int\limits^a_b {ba2-x2dx.} \, dx\) This integral can be evaluated to determine the area of the ellipse in terms of a and b.
The integral is given by:
\(\int\limits^a_b {ba2-x2dx.} \, dx\)
This can be evaluated using a substitution of u = a2 - x2. The derivative of u is du = -2x dx. After making the substitution, the integral becomes:
-∫bu du
The integral can be evaluated to obtain the answer:
-bu2/2 + C
The area of the ellipse can then be determined by evaluating the integral from x = 0 to x = a. This gives the area of the ellipse in terms of a and b:
\(Area = ab\pi /2\)
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If 2* = a, determine the following in terms of a: 1.3.1 8* 1.3.2 2x+3 1.3.3 5.2-*
The terms for the expressions are 8a, gives us 5.2-a.
Expression calculation.To decide the expressions in terms of "a," we ought to substitute the esteem of "a" into the given expressions. Given that 2* = a, let's evaluate the taking after expressions:
3.1: Since there's no variable or operation including "2*" in this expression, ready to basically take off it as is. In this manner, 3.1 remains unaltered.8*: We substitute "a" for "2*" within the expression. So, 8* gets to be 8a.1.3.2: So also, we substitute "a" for "2*" in this expression. Subsequently, 1.3.2 gets to be 1.3.2.2x+3: Here, there's a variable "x" display within the expression. Since we do not have particular data almost the esteem of "x" in terms of "a," we can't streamline it encourage without extra setting.5.2-: Once more, substituting "a" for "2" in this expression gives us 5.2-a.To summarize:
3.1 remains unaltered.
8* gets to be 8a.
1.3.2 remains unaltered.
2x+3 cannot be disentangled assist without extra data almost the esteem of "x" in terms of "a."
5.2-* gets to be 5.2-a.
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Show your solution ( 3. ) C + 18 = 29
Answer:
Show your solution ( 3. ) C + 18 = 29
Step-by-step explanation:
To solve the equation C + 18 = 29, we want to isolate the variable C on one side of the equation.
We can start by subtracting 18 from both sides of the equation:
C + 18 - 18 = 29 - 18
Simplifying the left side of the equation:
C = 29 - 18
C = 11
Therefore, the solution to the equation C + 18 = 29 is C = 11.
A cylinder has a base diameter of 14m and a height of 15m. What is its volume in
cubic m, to the nearest tenths place?
Answer:
2310m^3
Step-by-step explanation:
base area which is the circle = πr^2
But diameter, d = 14, r = 14/2 = 7
area = π × (7)^2 = 22/7 × 49 = 22 × 7 = 154
Volume = base area × height
= 154 × 15 = 2310
Answer:
2309.1
Step-by-step explanation:
Deltamath
Which ach represents the inequality < -1 + 2x?
Answer:
3rd one
Step-by-step explanation:
A test was given to a group of students. The grades and gender are summarized below
A B C Total
Male 3 10 12 25
Female 14 2 13 29
Total 17 12 25 54
If one student is chosen at random from those who took the test,
Find the probability that the student got a 'A' GIVEN they are male.
The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.
To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:
P(A | Male) = P(Male | A) × P(A) / P(Male)
We can find the values of the terms in the formula using the information given in the table:
P(Male) = (25/54) = 0.46 (the proportion of all students who are male)
P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')
P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')
Therefore, plugging these values into the formula:
P(A | Male) = 0.18 × 0.31 / 0.46
P(A | Male) ≈ 0.12
So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.
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Write an expression using the distributed property to dind the product of 7x63
The product of the expression 7 x 63 is 441.
We have,
To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:
7 x 63 = 7 x (60 + 3)
Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:
7 x (60 + 3) = 7 x 60 + 7 x 3
Simplifying further:
7 x 60 + 7 x 3 = 420 + 21
Therefore,
The product of 7 x 63 is 441.
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Evan and two friends go to a farm to pick strawberries. Evan records the number of baskets of strawberries that each person picks in a table.
Evan forgot to record how many strawberries he picked, but he knows that it was the same amount as Jerry and Ann combined.
hi they but you didn't put the number in for jerry and ann
Step-by-step explanation:
add ann and jerry E= 15 + 12 = 27 so that means that Evan is picked 27 strawberries
Which of the following options is the most likely reason for a relationship having a strong correlation, but without any causation? Presence of lurking or confounding variables Presence of a strong Absence of an experiment None of the above
Option (A) presence of lurking or confounding variables is the most likely reason for a relationship having a strong correlation, but without any causation.
Correlation only shows the strength and direction of a linear relationship between two variables and does not necessarily indicate causation. Lurking variables are those that are not included in the analysis but still affect the relationship between the two variables being analyzed. Confounding variables are those that are related to both the independent and dependent variables, which can lead to a spurious correlation.
Therefore, the presence of lurking or confounding variables can create a strong correlation between two variables without there being a causal relationship between them. Options (B) and (C) can lead to strong correlations, but they do not explain the absence of causation.
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The correct answer is :
Which of the following options is the most likely reason for a relationship having a strong correlation, but without any causation?
(A)Presence of lurking or confounding variables
(B)Presence of a strong r
(C)Absence of an experiment
(D)None of the above
Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm.
Answer: See image
Step-by-step explanation:
The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.
What did you include in your response? Check all that apply. The rounded conversion will not give an accurate answer based on the limitations of the problem. Using the more accurate conversion factor will give an answer that can then be rounded to 2 decimal places.
Answer:
The International System of Units, or Le Système International d'Unités (SI), was established in 1960. The SI system of units is essentially a modernized metric system. SI is the official system of units for science and has been adopted for commerce and technology in Canada and most other nations. The seven units upon which the SI system is based are listed in the table that follows.
Step-by-step explanation:
 Mr. Rodriguez’s holiday greeting cards in his gift shop before the holiday he sells the cards at a 150% markup on the price he paid to his supplier after the holiday to discuss the car 30% what is the Post holiday price of two cars he originally bought for me supply of supplier for $1.50 and $2.00, respectively