The simplified form of the expression is -46p - 72.
What is the simplified expression?In mathematics, we have to note that if we have an expression, then the expression can be written in the simplest way that is possible and this is called the simplified form of the expression.
We have that if we put the sentences into words;
(-6 1/2p) + (3/4p - 9)
(-13/2p) + (3p - 36/4)
8(-13/2p) + 8 (3p - 36/4)
-52p + 2(3p - 36)
-52p + 6p - 72
-46p - 72
Hence the expression can be said to have been simplified.
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Find the value of a in each parallelogram.
The value of 'a' in each parallelogram are,
1) a = 38
2) a = 15
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We know that;
In a parallelogram; the opposite angles are equal to each other.
So, By first figure;
We get;
⇒ 3a° = 114°
⇒ a = 114 / 3
⇒ a = 38
And, For second figure;
We get;
⇒ 40° = (3a - 5)°
Solve for a;
⇒ 40 = 3a - 5
⇒ 40 + 5 = 3a
⇒ 45 = 3a
⇒ 3a = 45
⇒ a = 45/3
⇒ a = 15
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-21≤7x-144
(Number line)
The end with [tex]17\frac{4}{7}[/tex] will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.
What is number line ?A number line is a depiction of a graded straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't contain equal to (> or ).
The inequality is
-21 ≤ 7x - 144
⇒ 7x≥ 144 - 21
⇒ x ≥ 123/7
⇒ x ≥ [tex]17\frac{4}{7}[/tex]
The plot on number line will be that the number will start start at x = [tex]17\frac{4}{7}[/tex] and continue on the positive side.
The end with [tex]17\frac{4}{7}[/tex] will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.
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An eighth-grade class has 40 students, 19 of which are girls. The class teacher selects 6 girls and 7 boys for an AP math class. If a student is chosen at
random from the class, what is the probability of choosing a boy or a student selected for the AP math class?
The probability of choosing a boy from the eighth-grade class is 19/40 (19 boys out of 40 students).
What is probability?Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. Probability theory is used to study random phenomena, such as the outcome of a coin toss or the results of an election. It is also used to make predictions about the future, such as whether it will rain tomorrow.
The probability of choosing a student selected for the AP math class is 13/40 (6 girls and 7 boys selected for the AP math class).
Therefore, the probability of choosing a boy or a student selected for the AP math class is 32/40 (19 boys plus 13 students selected for the AP math class out of 40 students).
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What is the answer ?
10x3^2 -3x3-6
Answer: If the X is a multiplication symbol then it would be 75
Step-by-step explanation:
10(3^2)−(3)(3)−6
=(10)(9)−(3)(3)−6
=90−(3)(3)−6
=90−9−6
=81−6
=75
Answer:
100x2/3-3x/3-6
Step-by-step explanation:
How do you look for a correlation using data points?
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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I’ll give brainiest
Use the given information to find m∠A.
m∠D=118°
m∠A=(2x)°
m∠B=(x+29.5)°
Answer: The measure of A is 59
Solve. Show work.
log7 (3x + 1) = 2
Answer:
X = 16
Step-by-step explanation:
Hi again.
To solve this equation, use the logarithm property of equality to rewrite log7 (3x + 1) = 2 as 3x + 1 = 7^2.
We can then solve for x by subtracting 1 from both sides, giving us 3x = 7^2 - 1, then dividing both sides by 3 to get x = (7^2 - 1)/3.
Therefore, the solution is x = (7^2 - 1)/3.
So now, x will be 16.
Hope that can help :)
i need help please!!
A Function in Reverse.In this case, we can state that the function f is the inverse of g and g is the inverse of f. = x for every x in the domain of f.
How do you find the inverse of a composite function?A Function in Reverse.In this case, we can state that the function f is the inverse of g and g is the inverse of f. = x for every x in the domain of f.
When determining the inverse of a function, we write down the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y.(f∘f−1)(x)=(f−1∘f)(x)=x.
The function and its inverse are composed of x as well, but only on an interval, if the domain or range of f(x) is constrained.
If f(x) and g(x) are two functions which are Inverses of each other then either of two will be true.
→fog(x)=x
= 1/ (5 + 1/x)
1/1/x
=x
→ gof (x)=x
⇒fog(x)
=f[g(x)]
→ gof (x)
=g[f(x)]
g (1/x - 5)
= 5 + x -5
= x
Which shows that f(x) and g(x) are inverses of each other.
→Domain of f(x)= All Real numbers excluding 5=R-{5}
→Domain of g(x)=All Real numbers excluding 0=R-{0}
→Domain of fog(x)=All Real numbers
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find the perimeter of abcd
The quadrilateral ABCD's sides add up to (AB + BC + CD + DA), which is its total. The perimeter is (8 + 5 + 13 + 10) cm, which we obtain because we have all the values for the sides.
What is ABCD in geometry?Latin words "quadri," which means four, and "latus," which indicates side, are the roots of the English word "quadrilateral." A quadrilateral is shown in the figure above. quadrilateral components. The quadrilateral ABCD's four angles are A, B, C, and D.Adding the areas of the two triangles will give us the quadrilateral's area. By adding together each side's length (AB + BC + CD + DA), we may eventually determine the provided quadrilateral's perimeter.A two-dimensional shape's perimeter is its distance from its edge. Additionally, it is described as the total length of an object's sides. The perimeter is calculated by adding the lengths of each side.To learn more about quadrilateral refer to:
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Find the next sequence.
1/5,1/12,1/19,1/26,1/33
Answer:
1/40
Step-by-step explanation:
the difference between each denominator is 7 so continue this
12-5=7
19-12=7
26-19=7
33-26=7
x-33=7
x=33+7=40
Answer:
1/40, 33+7=40
1/47, 40+7=47
1/54,
1/61,
1/68
because each denominator is incresing by 7 so you have to add 7 to.the denominator keeping the nominator
Question Forest Fires and Acres Burned Numbers ( in thousands ) of forest fires over the year and the number ( in hundred thousands ) of acres burned for 7 recent years are shown . Number of fires x 62 72 69 58 47 84 Number of acres burned y 51 15 62 42 26 15. find the equation of the regression line. y'=a+bx a=__ b=__ find y' when x is 65
The equation of the regression line is y = -0.43x + 63.27
How to find the equation of the regression line.To determine the equation of the regression line, we make use of a graphing calculator with the following summary:
Sum of X = 392Sum of Y = 211Mean X = 65.3333Mean Y = 35.1667Sum of squares (SSX) = 807.3333Sum of products (SP) = -347.3333The regression equation is represented as
ŷ = bX + a
So, we have
b = SP/SSX = -347.33/807.33 = -0.43022
a = MY - bMX = 35.17 - (-0.43*65.33) = 63.27457
This gives
ŷ = -0.43022X + 63.27457
Approximate
y = -0.43x + 63.27
When x = 65, we have
y = -0.43 * 65 + 63.27 = 35.32
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(5+6) + 7 =
28+ (9 + 3) =
3(10+ 2) + 5 =
Answer:
18
40
41
do the operations in parentheses first according to pemdas.
find the value h(-6), where h is defined below.
h(t)=6t-6
h(-6)= ??
Answer:
Step-by-step explanation:
h(-6) is the same as saying when t=-6
so for this question, every time you see t you plug in -6 instead
so h(t)=6t-6
h(-6)=6(-6)-6
=-36-6=-42
Therefore, h(-6)=-42
Asnwer both questions please
We can conclude that -
the net change in the value is : Δf(t) = 5{h² + 4h}.the average rate of change is : {r} = 5(h + 4)What is a function?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given are two functions as given in question.
[ 1 ] -
We can write the net change in the value as -
Δf(t) = {f(2 + h) - f(2)}
Δf(t) = {5(2 + h)² - 5(2)²}
Δf(t) = 5(4 + h² + 4h) - 5(4)
Δf(t) = 5{h² + 4h}
[ 2 ] -
f(t) = 5t²
t = (2) to t = (2 + h)
Now, for the given intervals, we can write the average rate of change
as -
{r} = Δf(t)/Δt
{r} = {f(2 + h) - f(2)}/{2 + h - 2}
{r} = {5(2 + h)² - 5(2)²}/{h}
{r} = {5(4 + h² + 4h) - 5(4)}/{h}
{r} = 5{(4 + h² + 4h) - 4}/{h}
{r} = 5{h² + 4h}/{h}
{r} = 5h(h + 4)/h
{r} = 5(h + 4)
Therefore, we can conclude that -
the net change in the value is : Δf(t) = 5{h² + 4h}.the average rate of change is : {r} = 5(h + 4)To solve more questions on functions, visit the link below -
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paper depot is delivering 774 cases of toilet paper. Each truck will be loaded with 18 cases. how many trucks will be created?
The number of trucks that will be created by the paper depot to deliver 774 cases of toilet paper if each truck loads 18 cases is 43 trucks.
How many trucks will be created?Number of toilet paper a paper depot is delivering = 774 cases
Number of cases a truck will load = 18 cases
Number of trucks that will be created = Number of toilet paper a paper depot is delivering ÷ Number of cases a truck will load
= 774 cases / 18 cases
= 43 trucks
Therefore, 43 trucks are needed by the paper depot to deliver 774 cases of toilet paper at 18 cases per truck.
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1.70x+41.70>153.90 please and thank you!!
This is an inequality in the standard form of "ax + b > c" where a, b, and c are constants. In this case, a = 1.70, b = 41.70, and c = 153.90.
To solve this inequality, we need to get x alone on one side of the inequality. We can do this by subtracting 41.70 from both sides, which gives us:
1.70x > 112.20
Then we can divide both sides by 1.70, to get:
x > 66.12
So the solution set to this inequality is all the values of x that are greater than 66.12. This can be written as x > 66.12.
It's important to note that this inequality means that x can be any number greater than 66.12 (66.12 is not included in the solution set)
I hope this helps :)
HELPPPPPPP
Which point is a solution to the system of linear equations?
y = −x + 6
x − 3y = 18?
(9, −3)
(6, 1)
(1, 3)
(−1, 6)
Answer:
Lets plug them in!
9, -3
9 is x
-3 is y
-3 = -9 + 6
-9 + 6 = -3
-3 = -3 okay so far this is looking good! Its a solution to the first one
9 - 3(-3) = 18
9 + 9 = 18
18 = 18
Its this one :)
Step-by-step explanation:
The only point that is a solution to the system of linear equations is; (1, 3).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Starting with the first point (9, -3),
y = -x + 6
y = -x + 6
The answer (9, -3) cannot be used.
The point (6,1) now:
y = -x + 6
1 = -6 + 6
Since this is untrue, the answer (6, 1) cannot be used.
The points (1,3) now:
y = -x + 6
3 = -1 + 6
Now we have
6x - 3y = 18
6(1) - 3(3) = 0
Since this is untrue, the (1, 3) cannot be used.
The point (-1, 6) last.
y = -x + 6
6 = 1 + 6
Now we have
6x - 3y = 18
6(-1) - 3(6) = -30
As a result, there is only one point that can be used to solve the system of linear equations: (1, 3).
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Cameron can read 22 pages in 14 minutes if he can read at the same rate how many pages can he jog in 42 minutes
Answer:
Step-by-step explanation:
if Cameron can read 22 pages in 14 min then take 42 min divided by 14 min and get 3 then take 3 times the number of pages 22 so you will get 22x3 equals 66 pages
The area of a rectangular outdoor stage has been extended on one side. The entire new area in square meters can be written
as 216+ 12x. Factor the expression to find the dimensions of the extended stage.
The factored expression is (blank)
(Factor completely.)
Dimension of the extended stage is; length = 6 m and width = 2x m
What is Area of the rectangular outdoor?By dividing the rectangle's length by its breadth, we may determine the area of a rectangle. Once a rectangle's length and breadth are known, its area may be computed. The rectangle's area can be measured in square units by multiplying the length and width. A shape's area is determined by dividing its length by its breadth. In this instance, by calculating 5cm x 5cm = 25cm2, we could determine the area of this rectangle even if it weren't on squared paper (the shape is not drawn to scale).Area of the rectangular outdoor = length x width
New area = area of the outdoor + area of the extended stage
= 216 + 12x
= 6(36 + 2x)
New area = 6 (36 + 2x)
So that;
The dimension of the rectangular outdoor = 36 x 6
i.e length = 36 m and width = 6 m
So that the dimension of the extended stage = length x width
= (6 x 2x) m
i.e length = 6 m and width = 2x m
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What is the value of A
Answer:
a=60
Step-by-step explanation:
add 2a+3a+a
6a
set that equal to 360
divide both sides by 6
Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?
Answer: 2.5 meters
Step-by-step explanation:
If Earl runs 75 meters in 30 seconds
75 meters ÷ 30 seconds = 2.5 meters per second
Help asap pls (20 point cuz I need asap) (brainliest)
The data below lists the number of pages Tamara read and the time it took her to read them.
Tamara read 30 pages in 45 minutes.
Tamara read 45 pages in 67.5 minutes.
Tamara read 50 pages in 75 minutes.
Determine which table below represents a two-column table for the given data.
Pages Time
30 45
45 67.5
75 50
Pages Time
30 45
45 67.5
50 75
Pages Time
30 45
67.5 45
50 75
Pages Time
45 30
67.5 45
75 50
2nd one
it should first show the pages she read then the time it took to read.
NEED HELP ASAP!!!
2.) Which functions are not periodic?
select each correct answer.
3.) What is the period of the function?
period=
The function that is periodic is function with option C: correct option is C.
How to determine the function?A function is called periodic function if it repeats the values in regular intervals or periods.
From the given graph it is clear that the function is not repainting its values from -6 to 6. It means the function is not periodic.
From the given graph it is also noticed that the amplitudes of the functions are not same, therefore the function is not periodic.
Therefore correct option is C.
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A stack of 6 books weighs 9.6 pounds. If each book weighs the same amount, how much does each book weigh?
Each book weighs 1.6 pounds, if a stack of 6 books weighs 9.6 pounds and all books weight is equal.
What is weight?The force exerted on an object by gravity is referred to as the weight of an object in science and engineering.
Some common textbooks define weight as a vector quantity, or the gravitational force acting on the object. Others refer to weight as a scalar quantity, or the strength of the gravitational pull. Others define it as the strength of the force applied to a body by mechanisms that counteract the effects of gravity: the weight is the unit of measurement.
So, the weight would be 0 when in free fall. Terrestrial objects are capable of having no weight in this sense. For example, by ignoring air resistance, the famous apple that fell from the tree and collided with the ground near Isaac Newton would have no weight.
If all book weighs equally then each book weighs
9.6/6
= 1.6 pounds
Thus, each book weighs 1.6 pounds, if a stack of 6 books weighs 9.6 pounds and all books weighs equal.
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helppppppppppp please I’m begging help meee
Answer: C
Step-by-step explanation: The arrow points back to the 6 therefore 6 - 6
In a math class with 28 students, a test was given the same day that an assignment was due. There were 20 students who passed the test and 19 students who completed the assignment. There were 16 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework?
Answer:
The probability that a student passed the test given that they completed the homework is, 16/19
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
Given that,
Math class of 28 students
Students who passed the test(P) = 20
Students who completed the assignment(Q) = 19
Students who passed the test and also completed the assignment (P∩Q)= 16
Probability = (P∩Q)/Q
= 16/19
Hence, the probability is 16/19
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Use the distance formula to find the distance of the line sments that are graphed.
The distance formula is a mathematical equation used to calculate the distance between two points.
What is distance?Distance is the measure of length between two points. It is the length of the path between the two points, usually measured in meters, kilometers, miles, or the like. Distance can be measured in time, such as in walking or running, or in terms of space, such as in astronomy or geography. Distance is often used to measure the difference between two places, objects, or people. Distance can also be used to measure changes in position, direction, and speed.
It is a simple equation that takes the coordinates of two points and finds the straight line distance between them. To find the distance between two points on a graph, simply use the distance formula.
Let's say that the two points are (x1, y1) and (x2, y2). The distance formula is:
Distance = √[(x2 - x1)2 + (y2 - y1)2]
For example, let's say point one is (3, 4) and point two is (6, 8). Using the distance formula, we can find the distance between the two points by plugging in the values:
Distance = √[(6 - 3)2 + (8 - 4)2]
Distance = √[32 + 42]
Distance = √[25 + 16]
Distance = √41
Distance = 6.4
So the distance between the two points is 6.4 units. This is the length of the line segment that connects the two points.
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Find the missing sides
UV = 8 and WX = 5
The length of TU is 8, WU is 10, TX is √39 and TV is 2√39. The solution is obtained using the properties of rhombus.
What is a rhombus?
A parallelogram has a unique variation known as a rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal.
The given figure TUVW is a rhombus.
We know that the diagonals of a rhombus always bisect each other perpendicularly which means at an angle of 90°.
Since, the diagonals bisect each other, therefore
WX=XU
We are given WX = 5 so, XU = 5
Thus, WU = WX + XU
WU = 5 + 5
WU = 10
In a rhombus, all the sides are equal, therefore,
UV = VX = WT = TU = 8
Since, the diagonals bisect each other perpendicularly, therefore, we have four right angled triangles.
Using pythagoras theorem in triangle UXV, we get
⇒UX^2 + XV^2 = UV^2
⇒5^2 + XV^2 = 8^2
⇒XV^2 = 8^2 - 5^2
⇒XV^2 = 64 - 25
⇒XV^2 = 39
⇒XV = √39
So, TX = √39
TV = TX + XV = √39 + √39 = 2√39
Hence, the length of TU is 8, WU is 10, TX is √39 and TV is 2√39.
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The sum of four consecutive integers is -22. Find the integers.
Answer:
-7, -6, -5, -4
Step-by-step explanation:
-7 + (- 6) = -13
-5 + (- 4) = -9
-13 + (- 9) = -22
Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you. Don’t understand how to work it out.
The areas of the composite figures are 36 square units, 27 square units, 66 square units, 32+2π square units and 68 square units respectively.
What are composite figures?
A composite figure is a shape that is produced from two or more fundamental shapes. Composite figures are also referred to as compound and complex shapes frequently.
Figure 1
This figure can be broken into two rectangles.
First rectangle with length 5 and width 4.
Second rectangle with length 8 and width 2 (as 6-4 is 2).
Area of rectangle= length*width
So, area of first rectangle= 5*4= 20 square units
Area of second rectangle= 8*2= 16 square units
Thus,
Area of figure= 20+16= 36 square units
Figure 2
This figure can be broken into two rectangles.
First rectangle with length 7 and width 3(as 6-3 is 3).
Second rectangle with length 2 and width 3.
Area of rectangle= length*width
So, area of first rectangle= 7*3= 21 square units
Area of second rectangle= 2*3= 6 square units
Thus,
Area of figure= 21+6= 27 square units
Figure 3
This figure can be broken into two rectangles.
First rectangle with length 12 and width 5.
Second rectangle with length 3 and width 2(as 12-(6+4) is 2).
Area of rectangle= length*width
So, area of first rectangle= 12*5= 60 square units
Area of second rectangle= 3*2= 6 square units
Thus,
Area of figure= 60+6= 66 square units
Figure 4
This figure can be broken into a rectangle and a semicircle.
Rectangle with length 8 and width 4.
Semi-circle with radius 2 ( as diameter is 4).
Area of rectangle= length*width
So, area of rectangle= 8*4= 32 square units
Area of semi-circle= 1/2πr^2
So, area of semi-circle= 1/2π(2)^2= 2π square units
Thus,
Area of figure= 32+2π square units
Figure 5
This figure can be broken into a rectangle and two squares.
Rectangle with length 10 and width 6(as 8-2 is 6).
Both squares with side 2.
Area of rectangle= length*width
So, area of rectangle= 10*6= 60 square units
Area of square= side^2
So, area of first square= 2^2= 4 square units
area of second square= 2^2= 4 square units
Thus,
Area of figure= 60+4+4= 68 square units
Hence, the areas of the composite figures are 36 square units, 27 square units, 66 square units, 32+2π square units and 68 square units respectively.
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