Answer:
See below
Step-by-step explanation:
Start by subtracting 5.2 from both sides of the equation
so "subtraction property of equality " I suppose ......
then the next step would be divide both sides by 2.5
which would be division property of equality
Answer: Subtraction Property of Equality
Step-by-step explanation:
- the subtraction property of equality is the rule that when you subtract the same number to or from both sides of an equation and get an equivalent equation
__________________________________________________________
- for this equation you would subtract 5.2 from the left-side of the equation and subtract it from 35.2 on the right side of the equation
- this is to isolate n
- basically 2.5n = 30 since n is a variable and that number multiplied by 2.5 will equal 30
- so the new equation would be 2.5n = 30
- so then: \(\frac{n}{2.5}\) = \(\frac{30}{2.5}\) so n = 12
hope this helps :)
A specimen of connective tissue (collagen) can be obtained from a beef steak. The temperature at which the collagen shrinks can be determined. A tender piece of meat tends to have a low collagen shrinkage temperature. So, the lower shrinkage temperature, the more tender the meat. It is believed that electrical stimulation of a beef carcass could improve the tenderness of the meat. In one study of this effect, beef carcasses were split in half; one side (half) was subjected to a brief electrical current and the other side was an untreated control. For each side, a steak was cut and tested in various ways for tenderness. In one test, the experimenter obtained a specimen of the connective collagen tissue from the steak and determined the temperature at which the tissue would shrink. The experimenter wishes to prove that electrical stimulation tends to improve the tenderness of the meat. The raw data are found in the table below. Let = 0.02.
To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples
In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.
The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.
I, it suggests that electrical stimulation does improve meat tenderness.
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A = ?
when r = 10 in.
(A = area of a circle)
(r = radius)
The graph of (c•d)(x) is shown.
Plot a point at the ordered pair that represents (c•d)(4) on the graph of the combined function.
The ordered pair that represents (c•d)(4) on the graph of the combined function is (4, -12)
How to determine the graph of the ordered pair?From the question, we have the following parameters that can be used in our computation:
The graph
The function of the graph is a combined function (c . d)(x)
To calculate (c . d)(4), we trace the point x = 4 to the curve
So, we have
(c . d)(4) = -12
See attachment for the graph
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Basil took part in a 100m race but he only ran 75m. What is the percentage of distance?
Answer:
75 %
Step-by-step explanation:
100 = 100 so,
100% - 75 = 25%
Answer:
75/100 = 3/4
Step-by-step explanation:
75/100=0.75 0.75 is basically 3 quarters so 75 cents over a dollar
Twelve cards are numbered from 1 to 12 and placed in a box. One card is selected at random and not replaced. Another is randomly selected. What is the probability of selecting two even numbers?
In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:
In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).
The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22
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Aramaic sequence how do you find the term
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a
transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve fork in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to
transform f(x) to g(x).
The two transformations that can be applied are a horizontal translation of 2 units to the left or a vertical translation of 10 units up.
Which two types of transformations can be used?A general linear equation is written as:
f(x) = a*x + b
Here we can see that the two lines are parallel, so the transformations that can be applied are a vertical or an horizontal translation of N units.
The vertical translation is written as:
g(x) = f(x) + N
The horizontal one is:
g(x) = f(x + N).
B) now we need to solve this for both both of the transformations.
i) We can see that f(0) = -2 and g(0) = 8
For the first transformation we have:
g(0) =f(0) + N = 8
= -2 + N = 8
N = 8 +2 = 10
For the second transformation:
g(0) = f(0 + N) = 8
We can see that f(x) = 8 for x = 2, then in this case N = 2.
Then we can have a translation of 2 units to the left or 10 units up.
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Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
In the following image, segment BD bisects segment AC, and three triangles are similar: AABC~ AADB~ ABDC. Complete the two-column
proof of the Pythagorean theorem.
3: A. (AC)DC) + (AC)(CD) = (AC)AC) + (BC)BC)
B. (AC)(CD) + (AC)(AD) = (BC)BC) + (AB)AB)
C. (AB)(CB) + (AD)CD) = (AC)AC) + (BC)BC)
D. (AC)BC) = (AC)(AC) + (BC)BC)
5: A.angle bisector postulate
B. triangles
C. common line segment
D. segment addition postulate
1. The Fill ups are as follow:
AB² + BC² = AC. AD + AC. CD
2. Segment addition postulate
What is Pythagorean theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
BC/ AC = CD/ BC and AB/ AC = AD/ AB
Now, BC² = AC. CD and AB² = AC. AD
Using, Addition Property of Equality
AB² + BC² = AC. AD + AC. CD
and, AB² + BC² = AC (AD + CD) [factor]
AD + CD = AD (segment addition postulate)
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PLATO
i got it correct :)
Find (fog)(x) and (gof)(x) and the domain of each. f(x)= x+8, g(x)= x-8
(fog)(x)=
Simplify your answer.
Answer:
(fog)(x) --- > f(x-8)=x
(gof)(x) ----> g(x+8)=x
brainliest please
The price of a laptop changed from $350.00 to $550.00. What is the percent change in the cost of the laptop?
F.200% increase
G.200% decrease
H.57.14% increase
J.57.14% decrease
Answer:
h
Step-by-step explanation:
Hope This helps you. good luck
Please answer .....
there are 5 blue, 4 red, 1 yellow and 2 green bead in a bag.
A) Find the probability that a bead chosen at random from the bag is blue?
B) Find the probability that a bead chosen at random from the bag is red or yellow?
C) Find the probability that a bead chosen at random from the bag is white?
D) Find the probability that a bead chosen at random from the bag is NOT yellow?
Q4) A fruit bowl contains 4 apples, 3 oranges, and 8 bananas, find the probability of
a) Randomly selected orange
b) Randomly selected apples
c) Randomly selected apple or banana
d) Randomly selected orange ,replace it then select banana
Q5) a number cube labeled by the numbers (3,3,3,3,5,5),what is the probability of
a) The number cube shows a 5
b) The number cube shows a 3
c) Having 5 and then 5 when the number cube rolled twice
d) Having 5 and then 3 when the number cube rolled twice
Answer:
A) 5/12
B) 5/12
C) 0/12
D) 11/12
-------------
Q4.
A) 3/15
B) 4/15
C) 12/15
D) 8/15
-----------------
Q5.
A) 2/6 or 1/3
B) 4/6 or 2/3
C)
D)
Step-by-step explanation:
A particle moves along the x
−
axis in such a way that its acceleration at time
t
for
t
>
0
is given
a
(
t
)
=
3
t
2
. When
t
=
1
, the position of the particle is
6
and the velocity is
2.
(a) Write an equation for the velocity,
ν
(
t
)
, of the particle for all
t
>
0
.
(b) Write an equation for the position,
x
(
t
)
, of the particle for all
t
>
0
.
(c) Find the position of the particle when
t
=
e
. Give an exact answer.
It looks like the particle's acceleration is
a(t) = 3t²
and we're given the initial velocity and position to be v(1) = 2 and x(1) = 6.
(a) By the fundamental theorem of calculus, the velocity at time t is
v(t) = v(1) + ∫₁ᵗ a(u) du
v(t) = 2 + ∫₁ᵗ 3u² du
v(t) = 2 + u³ |₁ᵗ
v(t) = 2 + (t³ - 1³)
v(t) = t³ + 1
(b) Use the theorem again to get the position at time t,
x(t) = x(1) + ∫₁ᵗ v(u) du
x(t) = 6 + ∫₁ᵗ (u³ + 1) du
x(t) = 6 + (1/4 u⁴ + u) |₁ᵗ
x(t) = 6 + (1/4 t⁴ + t - 1/4 • 1⁴ - 1)
x(t) = 1/4 t⁴ + t + 19/4
(c) The position of the particle at t = e is
x(e) = 1/4 e⁴ + e + 19/4
Q1: What is the inverse of the statement?
If you have read many books, then you have learned many words.
A) If you have learned many words, then you have read many books.
B) If you have read many books, then you have learned many words.
C) If you haven't learned many words, then you haven't read many books.
D) If you haven't read many books, then you haven't learned many words.
Q2: The given figure is a rectangular prism.
Which edges are parallel to QP¯¯¯¯¯ ?
Select all answers that are correct.
A) TR¯¯¯¯¯ (Maybe this?)
segment T R
B) PH¯¯¯¯¯¯
segment P H
C) QT¯¯¯¯¯
segment Q T
D) JA¯¯¯¯¯ (And this?)
segment J A
Answer: The answer for #2 is JA and TR I took the test:)
Step-by-step explanation:
Q1 option D is the correct answer: The inverse of the statement, If you have read many books, then you have learned many words, is If you haven't read many books, then you haven't learned many words.
Q2 Edges parallel to QP are
option Aoption DWhat is inverse of a statement?The inverse of a statement refers to a statement that has opposite to the original statement to which the inverse is required. For example:
the statement: John is coming
inverse of the statement: John is not coming
How to get parallel edgesThe edge refers to a side of the prism while parallel refers to a property of line that implies that the edges are equally spaced apart and will never intersect.
The diagram for Q2 is attached
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Si 3 alumnos inasistentes de un curso corresponde al 10%. ¿Cuántos alumnos tiene el curso?
a)13 b) 27 c) 30 d) 110
i need help can someone please help me
The measure of the angle m∠ZYX of the trapezoid is equal to 139°
What is a trapezoid?A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.
3x + 19 + x + 1 = 180°
4x + 20 = 180°
4x = 180 - 20 {collect like terms}
4x = 160
x = 160/4 {divide through by 4}
x = 40
m∠ZYX = 3(40) + 19 = 139°.
WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.
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Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
The average rate of change of f(x) = 4x2 - 3 from 3 to 9 is
(Simplify your answer.)
Answer:
44
Step-by-step explanation:
Given:
\( f(x) = 4x^2 - 3 \)
Required:
Average range of change from 3 to 9
SOLUTION:
Step 1:
Find f(3) and f(9):
To find f(3), replace x with 3 in the given function
\( f(3) = 4(3)^2 - 3 \)
\( f(3) = 4(9) - 3 \)
\( f(3) = 36 - 3 \)
\( f(3) = 33 \)
To find f(9), replace x with 9 in the given function
\( f(9) = 4(9)^2 - 3 \)
\( f(9) = 4(81) - 3 \)
\( f(9) = 324 - 3 \)
\( f(9) = 321 \)
Average rate of change = \( \frac{f(b) - f(a)}{b - a} \)
Where,
\( a = 3, f(a) = 33 \)
\( b = 9, f(b) = 321 \)
Plug in the values into the formula for average rate of change.
\( = \frac{321 - 33}{9 - 3} \)
\( = \frac{288}{6} \)
\( = 44 \)
Average rate of change = 44
The triangles on the grid below represent a translation.
4
3
0
2
1
b
8
54-32-14
1 2
3
b
8
To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
Mark this and return
Save and Exit
Next
Answer:
Five units right and three units up.
If you notice there's a ' on the green triangle (a',b',c')
That means that the blue triangle was translated to get to the green triangle
What is the cos A?Will give 15 points.
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
Overbooking flights is a common practice of most airlines. A particular airline, believing that 5% of passengers fail to show for flights, overbooks (sells more tickets than there are seats). Suppose that for a particular flight involving a jumbo-jet with 265 seats, the airline sells 278 tickets. Question 1. What is the expected number of ticket holders that will fail to show for the flight
Answer:
The expected number of ticket holders that will fail to show for the flight is 13.9.
Step-by-step explanation:
For each ticket holder, there are only two possible outcomes. Either they fail to show up for the flight, or they do not. Ticket holders are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
\(E(X) = np\)
5% of passengers fail to show for flights
This means that \(p = 0.05\)
278 tickets sold
This means that \(n = 278\)
What is the expected number of ticket holders that will fail to show for the flight?
\(E(X) = np = 278*0.05 = 13.9\)
The expected number of ticket holders that will fail to show for the flight is 13.9.
A cell phone plan charges $15 a month plus $0.10 per minute for phonecalls. Gertrude paid $32.50 last month forminutes of phonecalls
This celphone plan has a fixed cost of $15, this means that regarding if you use it or not, you'll pay at least $15.
Also, added to those fixed costs, you pay $0.10 per minute for phone calls.
Acording to the text, the bill for last month was $32.50, first step is to remove the fixed charges to know how much was spent on phone calls:
$32.50-$15= $17.5
Now using cross multiplication you can calculate how many minutes she talked to spend $17.5:
$0.10____1min
$17.50___xmin
\(x=\frac{17.50\cdot1\min }{0.10}=175\min \)She talked 175 minutes over the phone
Data will be collected on the following variables. Which variable can be considered discrete? A. The height of a person B . The weight of a person C. The length of a person’s arm span D The time it takes for a person to solve a puzzle E The number of books a person finished reading last month
Answer: E: The number of books a person finished reading last month
Step-by-step explanation:
First, a discrete variable is a variable that only can take some given values in a set, the discrete variables are usually not dense, and a continuous variable is a variable that can take any value in a range (where the accepted values are dense).
So, for example, the set of the natural numbers is discrete, and the set of the real numbers can represent a continuous variable.
Here the only option that is really discrete will be the number of books that a person finished reading last month because here only positive whole numbers are accepted (you can not finish a 0.454 of a book)
The other options are continuous because all are classical measures.
For example, the weight of a person can jump between:
75.6kg and 75.7kg.
So you could think that this is discrete because the values between 75.6kg and 75.7g are not shown with our measuring device, but those will be added in the error of the measure because the weights between 75.6kg and 75.7kg are actually possible, so they must be accepted.
Option E is right.
A. The height of a person. Height is a continuous variable.
B . The weight of a person. Weight is a continuous variable.
C. The length of a person’s arm span. Length is a continuous variable.
D. The time it takes for a person to solve a puzzle. Time is a continuous variable.
E. The number of books a person finished reading last month. The number of books is discrete variable.
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The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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Choose the best selection for the
quadrilateral with vertices at the
following points:
(-3,0), (-3,-3), (0,-3), (0,0)
Hint: Start by graphing the points.
Distance Formula: d = √(x2-x₁)² + (Y2 − ₁)²
A. Trapezoid
C. Rectangle
B. Rhombus
D. Square
Answer:
D. Square
Step-by-step explanation:
You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).
GraphA graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.
The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.
The figure is all of a rectangle, rhombus, and square.
The most specific name for the figure is Square.
__
Additional comment
A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.
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Natasha is wrapping gifts for the holidays to donate to a local community center. Natasha has 240 square feet of wrapping paper. If Natasha can wrap 8 gifts with 15 sq feet of paper; how many gifts can she wrap in total?
Answer:
Natasha can wrap 128 gifts in total
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Natasha has 240 square feet of wrapping paper
∵ Natasha can wrap 8 gifts with 15 square feet
→ By using the ratio method
→ Gift : square feet
→ 8 : 15
→ x : 240
→ By using cross multiplication
∵ x × 15 = 8 × 240
∴ 15x = 1920
→ Divide both sides by 15
∵ x = 128
∵ x represents the number of gifts
∴ Natasha can wrap 128 gifts in total
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
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whats the surface area of this shape?
Answer:
168 square units
Step-by-step explanation:
From left to right, top to bottom
1. 5 x 10 = 50
2. 5 x 8 = 40
3. 5 x 6 = 30
For the triangles since there is 2 of them and there the same we play it like there is 1 square
4 & 5. 8 x 6 = 48
Now add all them
50 + 40 + 30 + 48
50 + 40 = 90
30 + 48 = 78
90 + 78 = 168
Answer:
168 square units
Step-by-step explanation:
5*10 = 50 (left rectangle)
8*6 = 48 (top and bottom triangles, not dividing by 2 as there is two of that exact shape)
5*8 = 40 (middle rectangle)
6*5 = 30 (right rectangle)
Add them all up
50+48+40+30 = 168.