The resultant quadrilateral is a kite, with opposing angles that are supplementary and two adjacent congruent acute angles (angles AEB and DEC) (angles BED and AEC).
what is quadrilateral?In terms of geometry, a quad is a four-sided rectangle with four edges and four states. Its origins are in the Latin terms quadri and latus (meaning "side"). A rectangle is an a double shape with four sides, four edges, and four corners.
Jason can use the following procedures to draw the quadrilateral according to the requirements:
Mark A, B, C, and D as the four points on a section of a straight line.
Create two line segments, one from A to C and the other from B to D, with the intersection of the two segments at point E in the centre.
Due to the fact that angles BED and AEC are created by crossing two parallel lines with a transversal, they are opposing and supplementary (segments BD and AC).
The resultant quadrilateral is a kite, with opposing angles that are supplementary and two adjacent congruent acute angles (angles AEB and DEC) (angles BED and AEC).
To know more about quadrilateral visit:
https://brainly.com/question/29934291
#SPJ1
simplify:
tan² θ cos² - sin² θ
can anyone write the steps? many thanks!
Answer:
The given expression simplifies to zero.
Step-by-step explanation:
Tangent Trigonometric Identity:
[tex]\boxed{\tan \theta=\dfrac{\sin \theta}{\cos \theta}}[/tex]
Given expression:
[tex]\tan^2 \theta \cos^2 \theta - \sin^2 \theta[/tex]
To simplify the given expression, rewrite tan²θ using the tan trigonometric identity:
[tex]\implies \dfrac{\sin^2 \theta}{\cos^2 \theta} \cdot \cos^2 \theta - \sin^2 \theta[/tex]
[tex]\implies \dfrac{\sin^2 \theta \cos^2 \theta}{\cos^2 \theta} - \sin^2 \theta[/tex]
Cancel the common factor cos²θ:
[tex]\implies \sin^2 \theta - \sin^2 \theta[/tex]
Add similar elements:
[tex]\implies \sin^2 \theta - \sin^2 \theta=0[/tex]
Therefore, the given expression simplifies to zero.
A rectangle is placed around a semicircle as shown below. The width of the rectangle is 4
The area of the shaded region is the sum of the area of the semicircle and the area of the rectangle, giving us an answer of 32.13m².
What is a semicircle?A semicircle is considered as a two-dimensional shape that is half of a circle. It is formed by drawing a line from the center point of a circle to one of its edges. The line becomes the diameter of the semicircle, and the two sides of the semicircle form an arc.
The shaded area in the diagram is the region which is bounded by the semicircle and the rectangle.
To find the area of this shaded region, we first need to find the area of the semicircle and the area of the rectangle. The area of the semicircle is derived from the formula A = (πr²)/2, where r is the radius of the semicircle. The radius of the semicircle can be found by dividing the length of the rectangle by 2, as the semicircle is half of the rectangle, giving us a radius of 3m.
Therefore, the area of the semicircle is 14.13 m². The area of the rectangle is the length of the rectangle multiplied by its width, which is 6m×3m = 18m².
Finally, the area of the shaded region is the sum of the area of the semicircle and the area of the rectangle, giving us an answer of 32.13m².
For more questions related to area,
https://brainly.com/question/11952845
#SPJ1
Question; A rectangle is placed around a semicircle as shown below. The length of the rectangle is 6m. Find the area of the shaded region.
What is the domain of the funcition y=3Inx graphed below. Xgreater than 0.
X less than 0.
X less than 3.
X greater than 3
The domain of the function y = 3Inx graphed below is: A. x greater than 0.
What is a domain?A domain refers to the set of all real numbers (x-values) for which a particular function is defined.
How to identify the domain any graph?In Mathematics, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain:
Domain = {1, ∞} or x > 0.
In conclusion, ln(0) is undefined and there is no negative natural logarithm, ln.
Read more on domain here: brainly.com/question/9765637
#SPJ1
Which situation could be modeled by the function y = 400(1 – 0.17)x?
The expοnential decay with a cοnstant percentage rate cοuld be mοdeled by this functiοn.
What is expοnential decay?Expοnential decay is a mathematical prοcess that describes the decrease οf a quantity οver time, where the rate οf decrease is prοpοrtiοnal tο the current value οf the quantity. Expοnential decay οccurs when a quantity decreases by a cοnstant percentage rate οver time.
The fοrmula fοr expοnential decay is given by:
[tex]y = a(1 - r)^t[/tex]
where:
y is the final amοunt οr value
a is the initial amοunt οr value
r is the decay rate, which is the fractiοn by which the quantity decreases per unit time
t is the time in sοme unit οf measurement
The functiοn [tex]y = a(1 - r)^t[/tex] represents an expοnential decay curve, which is a curve that starts high and apprοaches zerο but never reaches it. The rate οf decay is highest at the beginning and decreases as the quantity gets smaller.
Expοnential decay is cοmmοnly seen in many natural and scientific phenοmena, including radiοactive decay, the decay οf a pοpulatiοn οf bacteria, and the depreciatiοn οf the value οf an asset οver time. Expοnential decay is alsο used in finance, engineering, and οther fields tο mοdel variοus prοcesses that invοlve the lοss οf value οr the dissipatiοn οf energy οver time.
The given functiοn y = 400(1 – 0.17)x represents expοnential decay where y is the final amοunt, x is the time in sοme unit, and 0.17 is the decay rate per unit time.
In particular, this functiοn mοdels a situatiοn where a quantity is decreasing οver time at a cοnstant percentage rate οf 17% per unit time. The initial quantity, οr y-intercept, is 400.
Sοme examples οf situatiοns that cοuld be mοdeled by this functiοn are:
The value οf a car that is depreciating at a cοnstant rate οf 17% per year.
The amοunt οf a radiοactive substance that is decaying at a cοnstant rate οf 17% per hοur.
The number οf bacteria in a pοpulatiοn that is dying οff at a cοnstant rate οf 17% per day due tο a lack οf resοurces.
In general, any situatiοn that invοlves expοnential decay with a cοnstant percentage rate cοuld be mοdeled by this functiοn.
To know more about exponential decay visit:
brainly.com/question/27822382
#SPJ1
A right circular cylinder has the dimensions shown below.
r= 17.2 cm
h = 35.3 cm
What is the volume of the cylinder? Use 3.14 for T.
Round to the nearest tenth and include correct units.
Show all your work.
Answer:
Step-by-step explanation:
the volume of a cylinder is found with the formula V=[tex]\pi r^{2} h[/tex] where r is the radius and h is the height of the cylinder
plugging the numbers given into the formula results in 32791.5 [tex]cm^{3}[/tex]
or mutually exclusive events R1, R2, and R3, we have P(R1)=0.05, P(R2)=0.3, and P(R3)=0.65. Also, PQ | R1=0.5, PQ | R2=0.6, and PQ | R3=0.2. Find PR3 | Q.
The answer of the given question based on the mutually exclusive event is the probability of event R3 given event Q is 0.37.
What is Probability?Probability is branch of mathematics that deals with study of random events or phenomena. It is concerned with quantifying the likelihood of an event or a set of events occurring. Probability is often expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
Using Bayes' theorem, we can find the probability of event R3 given event Q as follows:
P(R3|Q) = P(Q|R3)*P(R3)/P(Q)
so, by using the law of total probability:
P(Q) = P(Q | R1) * P(R1) + P(Q | R2) * P(R2) + P(Q | R3) * P(R3)
Substituting the given values, we get:
P(Q) = (0.5 * 0.05) + (0.6 * 0.3) + (0.2 * 0.65)
= 0.0425 + 0.18 + 0.13
= 0.3525
Now, substituting the given values for P(Q | R3) and P(R3), we get:
P(R3 | Q) = (0.2 * 0.65) / 0.3525
= 0.37
Therefore, the probability of event R3 given event Q is 0.37.
To know more about Bayes' theorem visit:
https://brainly.com/question/29598596
#SPJ1
calculus coterminal question
how do you get these answers and why??
Answer:
Below
Step-by-step explanation:
If you have an angle and add or subtract multiples of 360 ( a full circle around) ....you get the same angle ...
31.) 591 - 360 = 231 same angles
231 -360 = - 129 same angle
51 does not fit
32.) reference is 36 so
in Q II this would be 180 -36 = 144 degrees
adding or subtracting 360° from 144 would be the same angle
144 - 360 = - 216 ° ( same angle as 144)
5(-x² - 4x)
needs help fast!
Answer:
-5x^2-20x
Step-by-step explanation:
Is this a function? Why or why not? Explain your reasoning for each part.
Yes, the set of coordinate points (5, 31), (6, 28), (7, 25), (8, 22), and (9, 19) forms a function.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To determine whether the set of coordinate points (5, 31), (6, 28), (7, 25), (8, 22), and (9, 19) forms a function, we need to check whether each x-value is paired with a unique y-value.
We can see that for each x-value in the set, there is only one corresponding y-value.
Therefore, the set of coordinate points does form a function.
We can also verify this by using the vertical line test.
If we draw a vertical line anywhere on the graph of this set of points, the line will intersect the graph at most once, indicating that each x-value is paired with a unique y-value.
Therefore, the coordinate points does form a function.
To learn more about function from the given link
https://brainly.com/question/2284360
#SPJ1
A pet store donated a percent of every sale to hospitals. The total sales were $7,900 so the store donated $395. What percent of $7,900 was donated to hospitals?
The pet store donated 5 percent of $7,900 to hospitals.
How to find the percentage of a number?
To find the percentage of a number, we can use the formula:
(percent) = (part / whole) x 100
Where "part" is the portion we want to find the percentage of, and "whole" is the total amount. The result gives us the percentage of the part relative to the whole.
Calculation of the percentage donated to hospitals -
In this problem, we are given that a pet store donated a percentage of every sale to hospitals, and we need to find out what percentage of $7,900 was donated. We are also given that the total donation amount was $395.
To solve this problem, we can use the percentage formula, with the part being the donation amount ($395) and the whole being the total sales ($7,900).
Substituting these values into the formula, we get:
(percent donated) = (395 / 7,900) x 100
Simplifying the fraction, we get:
(percent donated) = 0.05 x 100
Multiplying 0.05 by 100 gives us 5
Therefore, the pet store donated 5% of $7,900 to hospitals.
To know more about percent visit :
brainly.com/question/28670903
#SPJ9
Simplify...........................................
On simplifying the given expression, we get 16/81.
What is simplification in mathematics?In mathematics, simplification is reducing the expression/fraction/problem in a simpler form.
Given is to simplify the expression as -
(4/9)²
We can simplify the expression as -
(4/9)²
(4 x 4)/(9 x 9)
16/81
Therefore, on simplifying the given expression, we get 16/81.
To solve more questions on simplification, visit the link-
https://brainly.com/question/30955874?referrer=searchResults
#SPJ1
{Complete question -
Simplify....
(4/9)²}
I NEED HELP!!!!!!! ASAP!!!
5.An inequality is shown below.
x < 20
Which equation has a solution that satisfies the inequality?
A. ³/4x=12
B. x = 37
C. 21.2=x-12/1/2
D. x = 2.2 6+2³
Answer:
the answer is d because 2.2 6+2 with a exponent of 3 = 14 and 14 is less than 20
Step-by-step explanation:
Austin pays $2 per day for high speed internet. The equation y = 2x relates his internet charges (y) to the number of days (x) he has internet. Identify the unit rate in the equation.
Answer:
The unit rate in the equation y = 2x is 2.
This means that the cost per day for Austin's high-speed internet is $2.
Use the given probability value to determine whether the sample results could easily occur by chance, then form a conclusion.
A study on the enhancing effect of coffee on long-term memory found that 35 participants given 200 mg of caffeine performed better on a memory test 24 hours later compared to the placebo group that received no caffeine.
a. There was a probability of 0.049 that the difference between the coffee group and the placebo group was due to chance. What do you conclude?
b. A group given a higher dose of 300 mg performed better than the 200 mg group, with a probability of 0.75 that this difference is due to chance. What do you conclude?
Question content area bottom
Part 1
a. The probability shows that the sample results
▼
could not
could
have easily occurred by chance. It appears that there
▼
is
is not
sufficient evidence to conclude that 200 mg of caffeine does have an effect on memory.
Where the above probability condition exists,
a. The probability value of 0.049 indicates that the sample results could not have easily occurred by chance. Therefore, we can conclude that there is sufficient evidence to suggest that 200 mg of caffeine has an enhancing effect on long-term memory.
b. The probability value of 0.75 indicates that the difference in performance between the two groups could easily be due to chance. Therefore, we cannot conclude that there is a significant difference in performance between the 200 mg and 300 mg groups based on this probability value. However, further research may be needed to investigate this question more thoroughly.
What is the rationale for the above response?The study found that participants who were given 200mg of caffeine performed better on a memory test 24 hours later compared to the placebo group. With a probability of 0.049, it can be concluded that the difference between the two groups was not due to chance.
Therefore, there is sufficient evidence to suggest that caffeine has an enhancing effect on long-term memory. On the other hand, the group given 300mg of caffeine did not show a significant difference compared to the 200mg group, with a probability of 0.75 that the difference was due to chance.
Learn more about probability at:
https://brainly.com/question/11234923
#SPJ1
Two friends each attempt to measure an exact distance of 120 feet using a tape measure. One friend's measurement is 121 feet, and the other friend's measurement is 119 feet.
What is the percent error for the 121-foot measurement, to the nearest hundredth?
What is the percent error for the 119-foot measurement, to the nearest hundredth?
How are your answers to Parts A and B related? Explain.
The percent error for the 121-foot measurement is approximately 0.83%.
What distinguishes percent difference from percent error?In the event of contrasting a measured or trial value with a known or accepted value, percent error is employed, whereas percent difference is used to compare two values. The percentage difference is determined by dividing the absolute variance of two numbers by their average, then multiplying the result by 100%.
For the 121-foot measurement:
Absolute error = |121 - 120| = 1
Percent error = (absolute error / actual value) x 100%
Percent error = (1 / 120) x 100%
Percent error ≈ 0.83%
Therefore, the percent error for the 121-foot measurement is approximately 0.83%.
Learn more about percent error here:
https://brainly.com/question/3105259
#SPJ1
50 Points, Answer for brainlist and show work.
Use substitution to determine which ordered pairs lie on the graph of the exponential function.
f(x) = 3(4)^2x
(0, 3)
(1, 48)
(1/2, 12)
(.25, 8)
Substituting the values shows that the point that lies on the exponential function are
(0, 3)(1, 48)(1/2, 12)How to determine which ordered pairs lie on the graphWe can use substitution to determine which ordered pairs lie on the graph of the exponential function f(x) = 3(4)^2x.
For the first ordered pair (0, 3),
f(0) = 3(4)^2(0) = 3(1) = 3
(0, 3) lies on the graph of the exponential function.
For the second ordered pair (1, 48)
f(1) = 3(4)^2(1) = 3(16) = 48
(1, 48) lies on the graph of the exponential function.
For the third ordered pair (1/2, 12),
f(1/2) = 3(4)^2(1/2) = 3(4) = 12
(1/2, 12) lies on the graph of the exponential function.
For the fourth ordered pair (.25, 8), :
f(0.25) = 3(4)^2(0.25) = 6
say that (0.25, 8) does not lie on the graph of the exponential function.
Learn more about exponential function at:
https://brainly.com/question/2456547
#SPJ1
Find the area of the following triangle, please help
Answer:
Below
Step-by-step explanation:
Area of any triangle = 1/2 base * height
base = 16 height = 9
1/2 * 16 * 9 = 72 units^2
Whats the answer i dont know it
Answer:wth
uhhhhh 5 -7 -8 5
Step-by-step explanation:
Three rectangular fields having area 60m², 84m² and 108m² are to be divided into identical rectangular flower beds, each having length 6m. Find the breadth of each flower bed
Therefore, it is not possible to divide the fields into identical rectangular flower beds of length 6m.
What is area?Area is a mathematical concept that refers to the measure of a surface enclosed by a boundary. It is typically expressed in square units such as square meters, square feet, or square centimeters. The area of a flat or 2-dimensional shape can be calculated by multiplying its length by its width, while the area of a 3-dimensional shape such as a cube or a sphere can be calculated using more complex formulas. Area is an important concept in geometry, physics, engineering, and many other fields.
Here,
Let the breadth of each flower bed be b.
For the first field with area 60m², the length of the field is 60/b, so the number of flower beds that can be made in this field is (60/b)/(6) = 10/b.
For the second field with area 84m², the length of the field is 84/b, so the number of flower beds that can be made in this field is (84/b)/(6) = 14/b
For the third field with area 108m², the length of the field is 108/b, so the number of flower beds that can be made in this field is (108/b)/(6) = 18/b.
Since all the fields are to be divided into identical rectangular flower beds, the number of flower beds in each field must be the same. So we have:
10/b = 14/b = 18/b
Multiplying both sides by b, we get:
10 = 14 = 18
This is not possible, so there is no common value of b that satisfies the given conditions.
To know more about area,
https://brainly.com/question/13194650
#SPJ9
What is the cost of one crate of egg at 80 pesewas each
The cost of one crate of eggs is given by A = 2400 pesewas
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the total cost of one crate of eggs be represented as A
Now , the value of A is
Let the number of eggs in one crate be = 30 eggs
The cost of one egg = 80 pesewas
Now , total cost of one crate of eggs A = number of eggs in one crate x cost of one egg
On simplifying the equation , we get
The total cost of one crate of eggs A = 30 x 80
The total cost of one crate of eggs A = 2400 pesewas
Hence , the equation is A = 2400 pesewas
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ9
The complete question is :
What is the cost of one crate of egg at 80 pesewas each where the number of eggs in one crate is 30 eggs.
a) 1200 pesewas
b) 2400 pesewas
c) 600 pesewas
d) 3000 pesewas
Consider the following equation 4x + 7y = 4y - 7 find the equation of the line which passes through the point (-5,8) and is perpendicular
Answer:
y = (3/4)x + 29/4
this is the final answer in slope intercept form
Step-by-step explanation:
Using the graph of the function f, find the following
Here is the other questions that get cut off by the picture
On which intervals is the graph decreasing? A) The graph is decreasing on _ (type ur anseer in interval notation using pi as needed B) There is no interval on which the graph is decreasing
On which intervals is the graph constant? A) the graph is constant on _ (type your answer in interval notation, type an exact answer using pi as needed)
B) There is no interval on which the graph is constant
The function is: A)odd B) even
C) neither even nor odd
The key features of the graph are
Local maximum at x = 1 and y = 1The decreasing intervals are (-∝, -1] u [1, ∝)It is an odd functionHow to determine the key features of the graphIf the graph has a local maximum
From the given graph, we can see that:
The graph has a maximum (momentarily) at x = 1
This means that "yes", the function has a local maximum at x = 1
The local maximum
In (a), we have
x = 1
The y coordinates at this point is
y = 1
So, the local maximum is y = 1
The decreasing interval
From the graph, we can see that the y values decrease from -∝ till x = -1 and also decrease from x = 1 till ∝
The function type
Based on the appearance of the graph, the function is an odd function
Read more about functions at
https://brainly.com/question/4138300
#SPJ1
A car is purchased for $27,500. After each year, the resale value decreases by 30%. What will the resale value be after 5 years?
The car's market value will therefore be $4,621.92 after five years.
By value, what do you mean?Value is a good, service, or asset's estimated, monetary, or material worth. The term "value" can refer to a number of concepts, including shareholder value, company value, fair value, or market value.
After each year, the car's resale value will drop by 30%. Consequently, following a year, the value will be:
$27,500 × (1-0.3) = $19,250
The value after two years will be:
$19,250 × (1-0.3) = $13,475
The value after three years will be:
$13,475 × (1-0.3) = $9,432.50
The value after four years will be:
$9,432.50 × (1-0.3) = $6,602.75
The value will finally be after five years.
$6,602.75 × (1-0.3) = $4,621.92
To know more about market value visit:
https://brainly.com/question/30527446
#SPJ1
Help please! Explain
The value of length of AG is,
⇒ AG = 8
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔABC,
G is centroid and GE = 4
Hence, We get;
⇒ AG : GE = 2 : 1
Hence, The length of AG is,
AG = 2 × 4
AG = 8
Thus, The value of length of AG is,
⇒ AG = 8
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ1
Help pls… I can’t again… btw there is 2 pages
The divisions of the polynomials are listed below:
- m² · n + m - 1 - x² · y² - 3 · x · y + 9 a³ · b · c - 3 · a · b³ · c³ - 6 · b⁵ 5 · p - 7 · q / r + 4 · r 9 · m³ · n² + 2 · m² · n - 8 · m - 6 · x - 1 + 1 / (x · y) (1 / 3) · (x / z) + (1 / 3) · (y / z) - 1 / z 4 · p² · q + 1 + 3 · p · q² - b + 2 · a · b⁴ - 15 · a² · b² - y² + y + z - z²How to divide a polynomial by a monomial
In this problem we can determine the division of a polynomial by a monomial through the use of distributive property, whose definition is shown below:
a · (b + c) = a · b + a · c
Now we proceed to show the solution to each case without prejudice to other algebra properties:
Case 1:
m³ · n² - m² · n + m · n
- m · n · (- m² · n) - m · n · m - m · n · (- 1)
- m · n · (- m² · n + m - 1)
Result: - m² · n + m - 1
Case 2:
3 · x³ · y³ + 9 · x² · y² - 27 · x · y
- 3 · x · y · (- x² · y² - 3 · x · y + 9)
Result: - x² · y² - 3 · x · y + 9
Case 3:
18 · a⁵ · b⁴ · c² - 54 · a³ · b⁶ · c⁴ - 108 · a² · b⁸ · c
18 · a² · b³ · c · (a³ · b · c - 3 · a · b³ · c³ - 6 · b⁵)
Result: a³ · b · c - 3 · a · b³ · c³ - 6 · b⁵
Case 4:
5 · p² · q · r - 7 · q² · r + 4 · p · q · r²
p · q · r · (5 · p - 7 · q / r + 4 · r)
Result: 5 · p - 7 · q / r + 4 · r
Case 5:
81 · m⁵ · n³ + 18 · m⁴ · n² - 72 · m³ · n
9 · m² · n · (9 · m³ · n² + 2 · m² · n - 8 · m)
Result: 9 · m³ · n² + 2 · m² · n - 8 · m
Case 6:
6 · x³ · y² + x² · y² + 35 · x · y
- x² · y² · [- 6 · x - 1 + 1 / (x · y)]
Result: - 6 · x - 1 + 1 / (x · y)
Case 7:
x² · y · z + x · y² · z - 3 · x · y · z
3 · x · y · z² · [(1 / 3) · (x / z) + (1 / 3) · (y / z) - 1 / z]
Result: (1 / 3) · (x / z) + (1 / 3) · (y / z) - 1 / z
Case 8:
12 · p⁵ · q² + 3 · p³ · q + 9 · p⁴ · q³
3 · p³ · q · (4 · p² · q + 1 + 3 · p · q²)
Result: 4 · p² · q + 1 + 3 · p · q²
Case 9:
5 · a² · b² · c² - 10 · a³ · b⁵ · c² + 75 · a⁴ · b³ · c²
- 5 · a² · b · c² · (- b + 2 · a · b⁴ - 15 · a² · b²)
Result: - b + 2 · a · b⁴ - 15 · a² · b²
Case 10:
y³ · z - y² · z - y · z² + y · z³
- y · z · (- y² + y + z - z²)
Result: - y² + y + z - z²
To learn more on division of polynomials: https://brainly.com/question/29631184
#SPJ1
100 POINTS HELPPPPPPPPPPPPPPPPPPPPP
Answer:
b or a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Solve : select all answer that apply
|-4+5x|=16
x= -11
x = -12/5
x= 4/5
x= 4
x = 3/4
By solving the equation we know that the correct value of (D) x is 4.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The four mathematical operations of addition, subtraction, multiplication, and division are also used in simple equations, either singly or in combination.
A formula would be 3x - 5 = 16, for instance.
When this equation is solved, we discover that the value of the variable x is 7.
So, solve for the given equation:
|-4+5x|=16
5x - 4 = 16
Now, by looking at the equation we can tell that the value of x needs to be 4 as follows:
5x - 4 = 16
5(4) - 4 = 16
20 - 4 = 16
16 = 16
Therefore, by solving the equation we know that the correct value of (D) x is 4.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ1
Complete question:
Solve : select all answers that applies
|-4+5x|=16
A. x= -11
B. x = -12/5
C. x= 4/5
D. x= 4
E. x = 3/4
Simplify the following expression.
Answer:
x^2+8x+8/2x+4
Step-by-step explanation:
Please help me with my question that I posted. I really need help.
Answer:
Step-by-step explanation:
For a charity fundraiser,
Juli sold 16 candles.
She
also collected $12 in
donations. She gave 2
charities each $100. How
much did she earn per
candle?
Juli earned $13.25 per candle sold.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
For a charity fundraiser, Juli sold 16 candles.
Juli earned a total of $212 ($12 in donations + $100 to Charity A + $100 to Charity B).
To find out how much she earned per candle, we need to divide the total amount earned by the number of candles sold:
$212 ÷ 16 candles = $13.25 per candle
Therefore, per candle, the earning amount is $13.25.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ1