Answer:
See below;
Step-by-step explanation:
21 . Consider an exponential function;
\(Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by\)
Solution; Provided Directly Above
I don’t have a question but both of the answers are wrong i just did it right now and i got it wrong but it said the answer is 6
Answer:
ok
Step-by-step explanation:
a mathematical statement that two or more expressions are equal.
Domenica is creating a banner to hang outside her business. Her design is shown below. It is composed of a square and two equal right triangles, one on either side of he square.
Take into account that the figure at the center is a square. Its area is given by:
A1 = (8 ft)² = 64 ft²
To the area of the other two triangles, first determine the length of the below side of the triangle, as follow:
20 ft - 8 ft = 12 ft
12 ft is the length of the two sides. Due to both triangles are equal, the length of their sides is:
12 ft/2 = 6 ft
Then, the area of the triangles is:
A2 = (6 ft)(8 ft)/2 = 48 ft/2 = 24 ft
Hence, the total area of the figure is:
AT = A1 + A2 + A2
AT = 64 ft² + 24 ft² + 24 ft² = 112 ft²
The toal area of the figure is 112 ft²
If a figure is a square, its diagonals divide it into isosceles triangles.
p: A figure is a square.
q: A figure's diagonals divide into isosceles triangles.
Which represents the converse of this statement? Is the converse true?
The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:
"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."
The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.
Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.
In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.
for similar questions on triangles.
https://brainly.com/question/1058720
#SPJ8
Compare 6.23 * 10^14 and 8.912 * 10^12
Answer:
623,000,000,000,000 > 8,912,000,000,000
Step-by-step explanation:
8.912·10^12
The exponent is 12, making it 10 to the power of 12. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 12 time(s):
8.912 -> 8,912,000,000,000
6.23·10^14
The exponent is 14, making it 10 to the power of 14. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 14 time(s):
6.23 -> 623,000,000,000,000
how many triangles with positive area are there whose vertices are points in the $x,y$-plane whose coordinates are integers $(x,y)$ satisfying $1\le x\le 4$ and $1\le y\le 4$?
We can solve this problem by using casework on the number of collinear points in each triangle.
If all three points are collinear, the triangle has zero area, so we want to count triangles with no more than two collinear points.
Case 1: Three points in a row (horizontal)
There are $4$ rows of points, and each row has $\binom{3}{1} = 3$ ways to choose a set of $3$ points. Therefore, there are $4 \cdot 3 = 12$ triangles with three points in a row.
Case 2: Three points in a column (vertical)
This case is the same as Case 1, so there are also $12$ triangles with three points in a column.
Case 3: Two points in a row, one point in a different row
There are $4$ rows of points, and each row has $\binom{3}{2} = 3$ ways to choose a set of $2$ points. For each choice of two points, there are two other rows that contain the third point of the triangle. Therefore, there are $4 \cdot 3 \cdot 2 = 24$ triangles in this case.
Case 4: Two points in a column, one point in a different column
This case is the same as Case 3, so there are also $24$ triangles with two points in a column.
Case 5: Two points in a diagonal, one point not on the diagonal
There are two diagonals that contain $4$ points each. Each diagonal has $\binom{4}{2} = 6$ ways to choose a set of $2$ points. For each choice of two points, there are $2$ other points that can be paired with it to form a triangle. Therefore, there are $2 \cdot 6 \cdot 2 = 24$ triangles in this case.
Case 6: All other triangles
All other triangles have one point in each of three different rows, or one point in each of three different columns. There are $\binom{4}{3} = 4$ ways to choose $3$ rows, and each row has $4$ points, so there are $4^3 = 64$ triangles with one point in each of three different rows. The same is true for triangles with one point in each of three different columns. Therefore, there are $2 \cdot 64 = 128$ triangles in this case.
Putting it all together, the total number of triangles with positive area is $12+12+24+24+128=\boxed{200}$.
Learn more about positive area triangles :
https://brainly.com/question/30181905
#SPJ4
50 POINTS TO WHOEVER ANSWERS THIS NOW!!!! IM TIMED HELP.
One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.
The prism said to have an equilateral triangle base has the measurements shown.
Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answer:
A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²
169 = 144 + 25
169 = 169
D:4*sqrt(2)
E: LSA of a cube = 100 in²
Step-by-step explanation:
Hope this helps
Solve the inequality.
-x - 14 > 6x + 8 + 4x
Answer:
x<-2
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−x−14>10x+8
Step 2: Subtract 10x from both sides.
−x−14−10x>10x+8−10x
−11x−14>8
Step 3: Add 14 to both sides.
−11x−14+14>8+14
−11x>22
Step 4: Divide both sides by -11.
−11x
−11
>
22
−11
x<−2
The dimensions of the computer screen are modeled by the equation x2 + (x – 4)2 = 202. What is the value of x, the length of the screen?
Answer:
x = 11.85
Step-by-step explanation:
x^2+(x-4)^2=202
x^2+(x-4)(x-4)=202
x^2 + x^2 - 4x - 4x + 16 = 202
2x^2 - 8x + 16 = 202
2x^2 - 8x - 186 = 0
Apply the quadratic equation and you'll get x as:
x=11.85 or x=-7.85
x cannot be negative
therefore x = 11.85
0.0154 as a percentage
Answer:
Step-by-step explanation:
0.0154 as a percentage is 1.54%
:)
The circumference of the earth is given.
Circumference of earth: 24,901 miles
What is the diameter of earth? Round your answer to the nearest tenth. Use 3.14 for π.
Answer:
7930.3 miles = d
Step-by-step explanation:
The circumference equals
C = pi *d
24901 = 3.14 d
Divide each side by 3.14
24901 / 3.14 = d
7930.254777 = d
Rounding to the nearest tenth
7930.3 =d
on exploration 4.3.3, what is a vertical asymptote for question 2?
A vertical asymptote is a line on the x-axis where the graph of a function approaches infinitely close but does not actually reach. In this case, the vertical asymptote is x = 4.
In exploration 4.3.3, the vertical asymptote for question 2 is at x = -2. Let's see what is meant by a vertical asymptote.What is a vertical asymptote?A vertical asymptote is a line that a function approaches but never touches.
The curve gets arbitrarily close to the vertical line but never touches it. When the function approaches a vertical asymptote, the function approaches infinity or negative infinity.For instance, consider the function f(x) = 1/x. It has a vertical asymptote at x = 0. This is because the function's value becomes increasingly larger as x approaches 0 from the positive side, and the value of the function becomes increasingly smaller as x approaches 0 from the negative side.Therefore, if a curve goes on increasing or decreasing on both sides of a vertical line (called a vertical asymptote), the curve approaches that line but never touches it. This is the basic idea of a vertical asymptote.What is the vertical asymptote for question 2?The rational function f(x) = (x + 2) / [(x + 2)^2 - 4] is being studied in question 2 of exploration 4.3.3. It can be seen that (x + 2)^2 - 4 = (x + 2 - 2)(x + 2 + 2) = (x)(x + 4).Therefore, the denominator (x + 2)^2 - 4 can be written as (x)(x + 4).The vertical asymptotes of a rational function occur where the denominator equals zero. Since the denominator is (x)(x + 4), the vertical asymptotes occur where x = 0 or x = -4.However, x = 0 is not a vertical asymptote because there is a hole in the graph. So, the only vertical asymptote is at x = -2. This means that the curve approaches x = -2 but never touches it. Therefore, the vertical asymptote for question 2 in exploration 4.3.3 is x = -2.
For more such asymptote related questions
https://brainly.com/question/28003042
#SPJ11
In ΔSTU, m∠S=(11x+3)∘,∠T=(2x+16)∘, and m∠U=(x+7)∘. Find .
Answer:
x = 11
Step-by-step explanation:
In ΔSTU ,
m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°
According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.
So,
\(11x + 3 + 2x + 16 + x + 7 = 180\)
\( = > 14x + 26 = 180\)
\( = > 14x = 180 - 26 = 154\)
\( = > x = \frac{154}{14} = 11\)
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
$219.325
Step-by-step explanation:
28.30*7.75=$219.325
AND THATS NOT INCLUDING TAXES WHICH WILL BE TAKEN OUT OF UR PAY CHECK
Answer:$64.75
Step-by-step explanation:
28.5+28.5=57
57+7.75=$64.75
Which problem can be solved using the equation below?
36 : 4=
Answer:
9 : 1
Step-by-step explanation:
divide 36 to 4 and divide 4 to 4
The problem that can be solved using 36:4 is 9:1.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
36 : 4
This can be written as,
= 36/4
= (4 x 9) / 4
= 9/1
Thus,
The ratio of 9:1 can be solved.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
List the side lengths in order from shorted to longest.
Answer:
z y x
Step-by-step explanation:
i dk
Answer:
X, Z, Y
Step-by-step explanation:
We can use the theorem that "opposite to the smallest angle lies the shortest side."
\(180 - 47 - 35 = 98\)
Against the angle with 98 degrees, the biggest angle, lies the longest side, y.
Against the angle with 35 degrees, the smallest angle, lies the shortest side, x.
So, we have the order:
x, z, y
N. 1 and 7/10 gallons of gasoline were used to drive 25 and 1/2 miles. How many
miles per gallon did the car get?
miles per gallon
Answer:
Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)
Step-by-step explanation:
Hope it helps :)
Use the interactive tool to find the difference:
1- 3/10. Write the answer as a fraction.
Answer:
7/10
Step-by-step explanation:
right on edg
Answer:7/10
Step-by-step explanation: And I am telling the truth
will name brainliest
Answer:
The second one is the answer
Step-by-step explanation:
Ur just dividing everything except the exponents. the exponents you subtract
Answer:
B. 3m^6 - 3m^3 - 2m^2
Step-by-step explanation:
Step 1: (6m^8 - 6m^5 - 4m^4)/2m^2
Step 2: (6m^8/2m^2) + (-6m^5/2m^2) + (-4m^4/2m^2)
Step 3: 3m^6 - 3m^3 - 2m^2
1) Given equation
2) You can imagine this fraction as (6m^8 - 6m^5 - 4m^4) multiplied by 1/(2m^2), so you can think of it like multiplying a monomial by a trinomial where you multiply the monomial by each term. In this step you multiply 1/(2m^2) by each of the terms in the trinomial.
3) In this step, you divide the terms in the parenthesis. You first divide the constants (ex: 6÷2=3 in (6m^8/2m^2)), and then you divide the variable exponents (ex: m^8÷m^2=m^6 in (6m^8/2m^2)).
are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
What is Adjacent angles?The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.
When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.
Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
To know more about adjacent angles refer to:
brainly.com/question/28394984
#SPJ4
Observe as frações e escreva-as na forma de números decimal 3/10. 2/100. 8/1000. 27/10. 1465/100. 301/1000
Answer:
a) 0.3
b) 0.02
c) 0.008
d) 0.3704
e) 14.65
f) 0.301
Step-by-step explanation:
a) 3/10 = 0.3
b) 2/100 = 0.02
c) 8/1000 = 0.008
d) 10/27 = 0.3704
e) 1465/100 = 14.65
f) 301/1000 = 0.301
What are 10 examples of irrational numbers?
Step-by-step explanation:
numbers that can not be written as a fraction
Dolly earns $6.40 per hour. She worked 28.25 hours last week. How much did Dolly earn last week?
Answer:
180.8
Step-by-step explanation:
multiply 6.40 with the hour 28.25
Hope this helps!
(50 x 40 / 4 + 20) + (50 / 2 + 25) =
Answer:
= 570
Step-by-step explanation:
Priority in order:
BracketX and /+ and -(50 x 40 / 4 + 20) + (50 / 2 + 25)
= (2000 / 4 + 20) + ( 25 + 25)
= ( 500 + 20) + ( 50 )
= ( 520 ) + 50
= 520 + 50
= 570
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
Which of the following statements must be true about a parallelogram?
Answer:C
Step-by-step explanation:
Ryan is building a treehouse it will take 13 1/4 hours to complete he can work on the treehouse 1 1/2 hours each day how many days will it take Complete up with the treehouse complete plzz help like now
Answer:
9 days
Step-by-step explanation:
13 1/4 / 1 1/2 = 8 5/6 so 9 days
Statistics expert daniel yankelovich believes that ________ give americans a certain amount of self-esteem and a fairly clear idea of who they are.
Statistics expert daniel yankelovich believes that middle-class values give Americans a certain amount of self-esteem and a fairly clear idea of who they are.
Who is a statistician?This is the title that is used to refer to the people that have being trained in such a way that they are able to apply statistical approaches and methods to the real life problems that exists in the environment.
They are known to be able to get the solutions to problems by the use of models of statistics and analyzing them as well.
Hence we can say that Statistics expert daniel yankelovich believes that middle-class values give Americans a certain amount of self-esteem and a fairly clear idea of who they are
Read more on hexadecimal here: https://brainly.com/question/15525560
#SPJ4
can someone write down the steps how you go from f(x) to g(x)
Answer:
this is an example of your question
I hope it helps
A trapezoid has bases of lengths 14 and 21. Find the trapezoid's height if it's area is 245
Answer: 8575/2
Step-by-step explanation: