Answers
Answer: the area of the triangle is 5.
Step-by-step explanation:
[tex]A(0;0) \ \ \ \ B(1;3) \ \ \ \ C(4;2) \ \ \ \ S_{ABC}=?\\Use \ the\ formula:\\\displaystyle\\\boxed{S=\frac{1}{2}*|[(x_A-x_C)*(y_B-y_C)-(x_B-x_C)*(y_A-y_c)] |}\\x_A=0\ \ \ \ x_B=1\ \ \ \ x_C=4\ \ \ \ y_A=0\ \ \ \ \ y_B=3\ \ \ \ \ y_C=2.\\S=\frac{1}{2}*|[(0-4)*(3-2)-(1-4)*(0-2)]|\\S=\frac{1}{2}*| [(-4)*1-(-3)*(-2)]|=\\ S=\frac{1}{2}*| (-4-6)|\\S=\frac{1}{2}*|(-10)|\\S= \frac{1}{2} *10\\S=5.[/tex]
Related Questions
Jonathan uploaded some original songs and also some pictures. alissa uploaded four times as many songs, but only uploaded twice as many pictures. jonathan uploaded 11 items while alissa uploaded 24. how many songs did jonathan upload? (1 point) 1 4 6 10
Answers
X is the number of songs and Y the number of pics
our 2 equations will be - X+y=11 & 4x+2y=24
consider x=11-y
Lets replace x in 2:
=4(11-y) +2y=24
=44-4y+2y=24
=44-24= 4y-2y
=20= 2y
=Y=20/2
=Y=10
Lets replace y in 1
=X+10=11
=X=11-10
=X=1
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complete the remainder of the table for the given function rule.
Answers
Answer:
following the (x,y) coordinate system,
(0,4) ; (1,1) ; (2,-2)
Step-by-step explanation:
youre given the value of the x variable in the table, so all you need to do is substitute x and follow pedmas!! hope this helps<3
Determine the simplified expression for the area of the shaded region below
Answers
Answer:
shaded area = 9x² +10x +4
Step-by-step explanation:
The area of the shaded region is the difference between the areas of the overall rectangle and the unshaded one it contains. Each area is the product of length and width.
Rectangle areasOverall rectangle
A = LW
A = (5x)(3x) = 15x² . . . . . using given dimensions
Unshaded interior rectangle
A = (3x +1)(2x -4) = 3x(2x -4) +1(2x -4) . . . . . using given dimensions
A = 6x² -12x +2x -4 = 6x² -10x -4
Difference of areasThe shaded area is the difference between the area of the overall rectangle and the area of the unshaded included rectangle.
shaded area = (15x²) -(6x² -10x -4)
shaded area = 9x² +10x +4
Leo is 23 years old and works for a company that matches his 401(k) contribution up to 4.6%. the interest rate for his 401(k) is 5.32%. if he puts away 8% of his $65,000 salary every year, how much would he have saved in 10 years? round your answer to the nearest cent. a. $7110,127.51 b. $104,564.67 c. $65,582.40 d. $62,269.66
Answers
The amount saved in 10 years is = $1,04,461.13
The correct option is B.
Future:An annuity is a series of payments that are distributed evenly over time.
One way to express the future value of an annuity of payment P for n years is,
Total salary is $65000
The interest rate is 5.32%
Trent save 8% of his salary every year.
Company puts 4.6% of salary every year.
[tex]\text { Future Value }=\mathrm{P} \times \frac{\left(1+\frac{i}{n}\right)^{n t}}{\frac{i}{n}}[/tex]
Given:
Total salary is $65000
The interest rate is 5.32%
Trent save 8% of his salary every year.
Company puts 4.6%of salary every year.
The 8% of salary is calculated as:
[tex]\text { Amount } &=\frac{8}{100} \times 65000\\[/tex]
[tex]&=\$ 5200[/tex]
The following information is available on the company's put:
[tex]\text { Amount } &=\frac{4.6}{100} \times 65000\\[/tex]
[tex]&=\$ 2990[/tex]
Total amount as follows:
[tex]\begin{aligned}\text { Amount } &=5200+2990 \\&=\$ 8190\end{aligned}[/tex]
The future value can be obtained as follows
[tex]\begin{aligned}\mathrm{FV} &=8190 \times \frac{(1+0.053)^{10}-1}{0.053} \\&=8190 \times 12.75 \\&=1,04,461.13\ \\\end{aligned}[/tex]
Hence, the amount saved in 10 years is = $1,04,461.13
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The line represented by 2y = x + 8 is dilated by a scale factor of k centered at the origin, such that the image of the line has an equation of y-1/2x=2. What is the scale factor?
Answers
The scale factor of the given dilation transformation is calculated as; 1/2
How to use the scale of dilation?We know that from transformation that a dilation is a non - rigid transformation that produces similar figures.
If two lines are similar, then the lines are parallel and parallel lines always have the same slope.
Thus;
Line A has the formula; 2y = x + 8
Writing it in slope intercept form gives us;
y = 0.5x + 4 ------(1)
Thus;
slope of the line A is m = 0.5
y-intercept of the line A is b = 4
Line B has the equation;
y - ¹/₂x = 2
Rearranging in Slope Intercept form gives us;
y = ¹/₂x + 2
Thus;
slope of the line B is m = 0.5
y-intercept of the line B is b = 2
Now, it should be noted that the y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B. Thus;
4k = 2
k = 2/4
k = ¹/₂
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Which intervals show f(x) decreasing? Check all that apply.
Answers
The intervals which represents those in which case the function, f(x) is reducing are as follows; [–2.5, –2], [–2, –1.5], [1.5, 2], [2, 2.5].
Which intervals naming the answer choices show the function f(x) decreasing?It follows from the complete task content that the x-intervals between which the function value of f(x) is reducing are to be identified from the graph as attached.
On this note, by observation on the graph, it follows that from between the interval; [–2.5, –2], the function f(x) is decreasing.
Also, between the interval; [–2, –1.5], the function f(x) is decreasing.
Also, between the interval; [1.5, 2], the function f(x) is decreasing.
Also, between the interval; [2, 2.5], the function f(x) is decreasing.
Remark: The answer choices are as follows; [–2.5, –2] [–2, –1.5] [–1, 1] [1.5, 2] [2, 2.5) [2.5, 3]
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-10(1 - 9x) + 6(x - 10)
Pics pls
Answers
Answer:
[tex]\boxed{\sf{96x-70}}}[/tex]Step-by-step explanation:
Use the distributive property.
What is a distributive property?Distributive property is a serving to distribute or allot or disperse.
Distributive property:
A(B+C)=AB+AC
A(B-C)=AB-AC
-10(1-9x)+6(x-10)
Expand.
-10(1-9x)
-10*1=-10
-10*9x=90x
[tex]\longrightarrow \sf{=-10+90x+6\left(x-10\right)}}[/tex]
6(x-10)
6*x=6x
6*10=60
6x-60
Rewrite the problem down.
= -10+90x+6x-60
Combine like terms.
90x+6x-10-60
Add the numbers from left to right.
90x+6x=96x
96x-10-60
Finally, subtract the numbers from left to right.
-10-60=-70
[tex]\Longrightarrow \boxed{\sf{96x-70}}[/tex]
Therefore, the final answer is 96x-70.
I hope this helps, let me know if you have any questions.
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Distributive Property :
[tex]-10(1-9x)+6(x - 10)[/tex]
[tex]-10(-9x+1)+6(x - 10)[/tex]
[tex]90x-10+6x-60[/tex]
[tex]90x-70+6x[/tex]
[tex]96x-70[/tex]
[tex]answer : \boxed{\pink\star\tt{96x-70}}[/tex]
━━━━━━━━━━━━━━━━━━━━━━━━
Common factor :
[tex]- 10(1 - 9x) + 6(x - 10)[/tex]
[tex]96x - 70[/tex]
[tex]2(48x - 35)[/tex]
[tex] answer : \boxed{ \pink \star\tt{2(48x - 35)}}[/tex]
(0,2)(3,686) exponential function
Answers
The exponential function represented by the points (0, 2) and (3, 686) is y = 2(7)ˣ
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
The standard form of an exponential funtion is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
At point (0, 2)
2 = ab⁰
a = 2
At point (3, 686)
686 = 2b³
b = 7
The exponential function represented by the points (0, 2) and (3, 686) is y = 2(7)ˣ
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A pizza has a radius of 10 inches. A slice is removed. The length of the crust of the missing slice is 3 inches. What is the area of the missing slice?
Answers
The area of the missing slice is 15 inches ²
How to determine the area
From the information given, we can see that the pizza takes the form of a circle;
Area of the missing slice takes the shape of a triangle
Area of a triangle = 1/ 2 base × height
base = 10 inches
height = 3 inches
Area of missing slice = 1/ 2 × 10 × 3
Area = 1/ 2 × 30
Area = 15 inches ²
Thus, the area of the missing slice is 15 inches ²
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Which of the graphs below would result if you made the leading term of the following function negative?
F(x) = 5x³ + x-8
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer: D
Step-by-step explanation:
If the leading coefficient is negative, then as [tex]x \to \infty[/tex], [tex]f(x) \to -\infty[/tex].
Eliminate A and B.If the leading coefficient is negative, then as [tex]x \to -\infty[/tex], [tex]f(x) \to \infty[/tex].
Eliminate C.This leaves D as the correct answer.
HELP ASAP!!! 40 POINTS
Identify each x-value at which the slope of the tangent line to the function f(x) = 0.2x2 + 5x − 12 belongs to the interval (-1, 1).
Answers
Using derivatives, it is found that the x-values in which the slope belong to the interval (-1,1) are in the following interval:
(-15,-10).
What is the slope of the tangent line to a function f(x) at point x = x0?It is given by the derivative at x = x0, that is:
[tex]m = f^{\prime}(x_0)[/tex].
In this problem, the function is:
[tex]f(x) = 0.2x^2 + 5x - 12[/tex]
Hence the derivative is:
[tex]f^{\prime}(x) = 0.4x + 5[/tex]
For a slope of -1, we have that:
0.4x + 5 = -1
0.4x = -6
x = -15.
For a slope of 1, we have that:
0.4x + 5 = 1.
0.4x = -4
x = -10
Hence the interval is:
(-15,-10).
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Potenciación audita amigos
Answers
Answer: 4096.
Step-by-step explanation:
[tex](8^3)^8\div(8^4)^5=\\8^{3*8}\div8^{4*5}=\\8^{24}\div8^{20}=\\8^{24-20}=\\8^4=\\4096.[/tex]
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answers
Answer:
A [tex] \dfrac{2x^3}{3yw} [/tex]
Step-by-step explanation:
[tex] \dfrac{xy(24x^2y^3w)}{36y^5w^2} = [/tex]
[tex] = \dfrac{2 \times 12 x^3y^4w}{3 \times 12y^5w^2} [/tex]
[tex] = \dfrac{2x^3}{3yw} [/tex]
Solve the given initial-value problem. d2x dt2 2x = f0 sin t, x(0) = 0, x '(0) = 0
Answers
The initial-value is x(t)=F0/2w^2 (sin wt-wt cos wt)
An initial-value hassle is a differential equation wherein is an open set of, together with a point within the domain called the initial situation. A technique to an initial cost hassle is a function that is a technique to the differential equation and satisfies.
Inside the discipline of differential equations, preliminary cost trouble (additionally called Cauchy trouble by using a few authors) is a normal differential equation collectively with a detailed fee, called the preliminary situation, of the unknown function at a given factor in the domain of the solution.
In multivariable calculus, an initial-value hassle is a normal differential equation collectively with a preliminary circumstance that specifies the fee of the unknown characteristic at a given factor in the area. Modeling a system in physics or different sciences often amounts to fixing an initial cost problem.
Consider a differential equation x+x=F, sin wt, x(0) = 0,X(0) = 0
Apply Laplace transformation on both sides, and we get
(s²L{x(t)}-sy(0)-y'(0)) + w²L {x(t)} =·
Fow
Fow
(s² + w² ) { x(t)} = 3 + w²
L{x(t)}=
Fow
(5²+w²)²
x(t)=FwL
[(s² + w²)²]
Fow
x(t)=(sin wt-wt coswt)
2w
x(t)=
Fo
wtcos
2w (sin wt-wt cos wt),
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Find the total surface area of the square pyramid in the figure.
each base side is 8 yds, vertex to centr of base is 3 yds, vertex to center of one side of base is 5 yds. 9Cannot send picture, only link)
Answers
The total surface area of the square pyramid (SA) = 144 yd².
What is a Square Pyramid?A square pyramid is a solid shape that has a square base and four rectangular lateral faces.
How to Find the Total Surface Area of a Square Pyramid?The total surface area of a square pyramid is the sum of the area of its square base and four rectangular lateral faces. To find the total surface area, the following formula is used:
Total surface area of a square pyramid (SA) = A + 1/2(Pl), where:
Area of base = APerimeter of base = PSlant height of pyramid = lGiven the following:
Area of base (A) = 8² = 64 yd²
Perimeter of base (P) = 4(8) = 32 yds
Slant height of pyramid (l) = 5 yds
Plug in the values
Total surface area of a square pyramid (SA) = 64 + 1/2(32)(5)
Total surface area of a square pyramid (SA) = 64 + 80
Total surface area of a square pyramid (SA) = 144 yd².
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Troy travels 100 miles in 2 hours. Find the unit rate of speed by filling in the missing number.
100 miles/ 2hours = ? miles/ 1 hour = ? miles/hour
Answers
Answer:
50 miles/1 hour = 50 miles/hour
Step-by-step explanation:
The fraction is reduced by dividing numerator and denominator by their common factor of 2.
100 miles / (2 hours) = 50 miles/ (1 hour) = 50 miles/hour
Poisson distribution
Given that Y ~ Po(4.5)
Find y such that P(Y=y) is the greatest, for y = 0,1,2....
Ans is 4 but i dont know the steps
Answers
- What is the area of the figure below? Use 3.14
for T.
7 cm
22 cm
18 cm
Answers
Answer: [tex]\Large\boxed{Total~area=586.17~cm^2}[/tex]
Step-by-step explanation:
PART I: Find the area of the triangleGiven information
[tex]Height=7~cm[/tex]
[tex]Base=18~cm[/tex]
Given formula
[tex]A=b\times h\times\dfrac{1}{2}[/tex]
[tex]A=Area\\b=base\\h=height\\[/tex]
Substitute values into the formula
[tex]A=(7)\times (18)\times\dfrac{1}{2}[/tex]
Simplify by multiplication
[tex]A=(7)\times 9[/tex]
[tex]A=63~cm^2[/tex]
PART II: Find the area of the rectangleGiven information
[tex]Height = 18~cm[/tex]
[tex]Base=22~cm[/tex]
Given formula
[tex]A=b\times h[/tex]
[tex]A=Area\\b=base\\h=height\\[/tex]
Substitute values into the formula
[tex]A=(22)\times (18)[/tex]
Simplify by multiplication
[tex]A=396~cm^2[/tex]
PART III: Find the area of the half-circleGiven information
Diameter = 18 cm
Given formula
[tex]A=(\dfrac{d}{2} )^2\times \pi \div2[/tex]
[tex]A=Area\\d=diameter[/tex]
Substitute values into the formula
[tex]A=(\dfrac{18}{2} )^2\times (3.14) \div2[/tex]
Simplify the fraction
[tex]A=(9 )^2\times (3.14) \div2[/tex]
Simplify the exponents
[tex]A=81\times (3.14) \div2[/tex]
Simplify by multiplication
[tex]A=254.34\div2[/tex]
Simplify by division
[tex]A=127.17~cm^2[/tex]
PART IV: Find the total areaGiven formula
[tex]Total~area=Triangle+Rectangle+circle~(half)[/tex]
Substitute values into the formula
[tex]Total~area=(63)+(396)+(127.17)[/tex]
Simplify by addition
[tex]Total~area=459+(127.17)[/tex]
[tex]\Large\boxed{Total~area=586.17~cm^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Elsa went to Malacca with three friends. The total amount spent by them is RMx. If Elsa spent RM 145, and the amount spent by each of her three friends did not exceed RM 110 per person, which of the following cannot be the value of x.
Answers
The total amount spent by Elsa and her friends must not exceed RM 475; 475 ≤ x
InequalityTotal amount spent = RMxAmount spent by Elsa = RM 145Amount spent by each of her three friends = RM 110Elsa + 3(her friends) ≤ Total
145 + 3(110) ≤ x
145 + 330 < x
475 ≤ x
Therefore, the total amount spent by Elsa and her friends must not exceed RM 475; 475 ≤ x
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Does this graph represent a function? Why or why not?
• A. No, because it is not a straight line.
• B. No. because it fails the vertical line test.
C. Yes, because it passes the horizontal line test.
• D. Yes, because it passes the vertical line test.
Answers
Answer:
D
Step-by-step explanation:
This function passes the vertical line test.
The vertical line test test is done by drawing a vertical line anywhere on the graph. If the line goes through two points or more then it isn't a function.
Compare -2 and 5. Which of the following is true?
1-21 > 151 and -2>5
1-21=151 and -2<5
1-21<151 and -2<5
1-21 > 151 and -2<5
Answers
Answer:
1-21>151 and -2>5
I think so.
For a population with = 100 and = 20, what is the x value corresponding to z = 1. 50?
Answers
The x value or observed value corresponding to z-score, z = 1.50 is 130.
According to the question.
For a population with µ = 100 and σ = 20.
Since, we know that
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
And it is given by
z = (x - μ) / σ
Where,
x is the observed value.
μ is the mean.
and, σ is the standard deviation.
Therefore, the x value or observed value corresponding to z = 1.50 is given by
[tex]1.50 = \frac{x -100}{20}[/tex]
⇒ 1.50 × 20 = x - 100
⇒ 30 = x - 100
⇒ x = 30 + 100
⇒ x = 130
Hence, the x value or observed value corresponding to z-score, z = 1.50 is 130.
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graph the equation by translating y=|x-1|
i need help like super fast-
Answers
Answer:
Graph b
Step-by-step explanation:
y = |x| is a "v"at x = 0
y = |x-1| is a "v" shifted to the right by 1 unit
help if u can! don't answer if u don't know please
Answers
By using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
The types of function.In Mathematics, there are different types of functions and these include the following;
Periodic functionInverse functionModulus functionSignum functionPiece-wise defined function.Logarithm functionWhat is a logarithm function?A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
y = log₁₀10
y = log₁₀10 = 1.
Therefore, if log₁₀x < 1, then, x < 10. Also, if log₁₀x > 1, then, x > 10.
For this exercise, you should take note of this deductive points:
The upper left number can't be smaller than 1 but its log must be the smallest. Thus, if the exponent equals 0, the red box can assume any number.The fractions in the lower left and upper right should be as large as possible with their denominators being small while their numerators are large.In conclusion, by using the digits 0 to 9, the boxes are filled with their respective numerical values to make the chart accurate as shown in the image attached below.
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Please ASAP I WILL GIVE 30 POINTS IF THE CORRECT ANSWER, ALSO BRAINLEST AND 5 STARS ON YOUR ANSWER, PLEASE AND THANK YOU ASAP
Answers
Formula for the circumference of a circle is
[tex]c = \pi \: d[/tex]
where c is the circumference, and d is the diameter.
When diameter is 27-in, then
[tex]c1 = \pi \times 27[/tex]
When diameter is 25-in, then
[tex]c2 = \pi \times 25[/tex]
.: 27π-in – 25π-in is the farther distance.
Finding the difference, we have:
2π ≈ 6.28
.: 6.28-in is our final answer.
I hope this helpsWhat is the slope of the line represented by the equation y = x-3?
O-3
های د
Answers
Answer:
1
Step-by-step explanation:
The slope of a function is equal to the coefficient of x when the equation is in standard form (y=mx+c)
In this case the equation is already in standard form and thusly we can see that the coefficient of x is 1 (the constant has no effect on the slope)
Which of the following is an example of the associative property of multiplication?
07-(3+5)=21+35
7-(3-5)=(7-3)-5
7-(3-5)=7-(5-3)
Answers
Answer:
think its number 2 7-(3-5)=(7-3)-5
Step-by-step explanation:
What is the next term in the geometric sequence below?
3, -6, 12, -24, __, ...
A. 36
B. -48
C. -36
D. 48
Answers
Answer:
48
Step-by-step explanation:
48 because you are multiplying it by -2 each time. -24 x -2 = 48
4. In a scale-drawing blueprint of a house, 1/4of an inch represents 1 foot. If a room in the house has
dimensions of 16.5 feet by 14 feet, what are that room's dimensions on the blueprint?
5. Henrietta and Dolores take a road trip to the beach. Henrietta drives from their hometown to the
beach, a distance of 252 miles, in 9 hours. Dolores drives the same distance on the trip back, but her
speed is 2 miles per hour faster than Henrietta's speed was. How long does it take Dolores to drive
back home?
Answers
Answer:
4. 4.125 inches by 3.5 inches.
5. 8.4 hours.
Step-by-step explanation:
4. multiply 16.5 and 14 by .25 because each foot in the house is .25 of an inch on the paper.
5. 252 miles / 9 hours = 28 mph. Add 2 so you get 30 mph. 252 miles / 30 mph = 8.4 hours.
Determine the sum of the first 40 terms in the geometric series: 1, 1.5, 2.25, 3.375, …
Answers
The sum of the first 40 terms of the geometric sequence is:
22,114,662.64
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms of a sequence is:
[tex]S_n = \frac{a_1(1 - q^n)}{1 - q}[/tex]
For this problem, the parameters are:
a1 = 1, q = 1.5, n = 40.
Hence the sum is:
[tex]S_{40} = \frac{1 - 1.5^{40}}{1 - 1.5} = 22,114,662.64[/tex]
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