Ok, so
We want to find the area of the following triangle:
Remember that the area of a trangle is given by the following equation:
[tex]A=\frac{bh}{2}[/tex]Where b is the base of the triangle and h is its height.
If we replace our values:
[tex]A=\frac{(11)(2)}{2}=11[/tex]Therefore, the area is equal to 11 square units.
(Please help, will be marked brainliest) What is the evaluated version of x^2-xy-5x-4?
The evaluated version of ((x²-xy)-5x)-(4(2xy+2x²) is:
-x • (7x + 9y + 5)
Given, the expression is ((x²-xy)-5x)-(4(2xy+2x²)
open the brackets.
x²-xy-5x-8xy-8x²
pull out the like terms.
-7x²-9xy-5x
= -x • (7x + 9y + 5)
Hence after evaluating ((x²-xy)-5x)-(4(2xy+2x²), we get -x • (7x + 9y + 5)
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PLEASE I REALLY NEED HELP! Which statement is false about the graph of the exponential function f(x)? A) The X-intercept is 1. B) The range is all real numbers.C) As X decreases without bound, f(x) increases without . D) As x increases without bound, f(x) approaches, but never reaches -1 . E) The f(x)-intercept is 3.F) The domain is all real numbers.
From the graph, we can see that
A) True
B) False. The range goes from -1 to +infinity.
C) True
D) True
E) False, the f(x) -intercept is 1.
F) True.
The y-intercept and x-intercepts are:
The ratio of pencils to pens in the drawer is 5:15. If there are
actually twice that many pencils, how many pencils and pens are
there in the drawer?
A. 5 pens, 15 pencils
B. 5 pencils, 15 pens
C. 10 pencils, 30 pens
D. 10 pens, 30 pencils
Answer:
D
Step-by-step explanation:
It says twice as many so just multiply the ratio by two. That means its 10 pens and 30 pencils.
Priya has completed 9 exam questions. This is 60% of the questions on the exam. Use x as your variable. Write an equation representing this situation. ____ What does your variable mean in terms of this situation in the equation you wrote? ____ How many questions are on the exam? _____
Let x be the total number of questions.
Since we know that 60% is equal to 9 questions of the exam we have the equation:
[tex]0.6x=9[/tex]where, as we stated above, x represents the total number of questions.
Solving for x we have:
[tex]\begin{gathered} \text{0}.6x=9 \\ x=\frac{9}{0.6} \\ x=15 \end{gathered}[/tex]therefore the exam has 15 questions.
Evaluate the indefinite integral. ft-53 at 1250 + c 5 - + 2 - 125t + c 312 - 30t + 75 + 6 O r4 - 15+ 7512 - 125t + c
Given:
[tex]∫(t-5)^3\text{ dt}[/tex]Let's evaluate the integral:
[tex]\begin{gathered} ∫(t-5)^3\text{ dt} \\ \\ =\frac{1}{4}(t-5)^4+c \\ \\ ^{} \end{gathered}[/tex]Thus, we have:
[tex]\frac{1}{4}(t^4-20t^3+150t^2-500t+625)+C[/tex]Expand using distributive property:
[tex]\begin{gathered} (\frac{t^4}{4}-\frac{20t^3}{4}+\frac{150t^2}{4}-\frac{500t}{4}+\frac{625}{4})+C \\ \\ \\ =\frac{t^4}{4}-5t^3+\frac{75t^2}{2}-125t+C \end{gathered}[/tex]ANSWER:
[tex]=\frac{t^4}{4}-5t^3+\frac{75}{2}t^2-125t+C[/tex]A hemisphere has a radius of 8 cm. Find the volume of the hemisphere
Given:
A hemisphere has a radius of 8 cm.
Required:
To find the volume of the hemisphere.
Explanation:
The formula for volume of the hemisphere is,
[tex]V=\frac{2}{3}\pi r^3[/tex][tex]\begin{gathered} V=\frac{2}{3}\times3.14\times8^3 \\ \\ =\frac{2}{3}\times3.14\times512 \\ \\ =1071.786cm^3 \end{gathered}[/tex]Final Answer:
[tex]\begin{gathered} V=1071.86cm^3 \\ \approx1071.9cm^3 \end{gathered}[/tex]5 5/6 or 5.6 which is greater
The mixed fraction form
[tex]5\frac{5}{6}[/tex]is equivalent to
[tex]5+\frac{5}{6}[/tex]since 5/6 is equal to 0.8333, then
[tex]5\frac{5}{6}=5.83333[/tex]Therefore, since 5.83333 is greater than 5.6, then 5 5/6 is greater than 5.6
About how many 6 foot boards can be cut from a 32 3/4foot board?
a. 5 boards
b. 10 boards
c. 4 boards
d. 8 boards
Please help!!! Will give brainlest
....................................................//////.
Answer:
o////////////o
Answer:
yES uwuuuuuuuuu
Step-by-step explanation:
Ashley has sold 70% of the candy bars she’s supposed to sell for her softball team . How many candy bars does she have left to sell
Answer:
70%of 20 is 14 so it is 6
Step-by-step explanation:
20-14=6
Construct two different trinomials that have a greatest common factor of 5x²y³ ?
The two different trinomials that have a greatest common factor of [tex]5x^{2} y^{3}[/tex] are:
a) [tex]35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}[/tex]
b) [tex]25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\[/tex]
Let us verify,
a) Consider the trinomial [tex]35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}[/tex],
The Greatest Common Factor of 35, 5, 15 is 5
The Greatest Common Factor of [tex]x^{2} ,x^{4} ,x^{3} =x^{2}[/tex]
The Greatest Common Factor of [tex]y^{5} ,y^{9} ,y^{3} = y^{3}[/tex]
There is no G.C.F for z because it is missing in the 3rd term.
So, the G.C.F of the trinomial [tex]35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}[/tex] = [tex]5x^{2} y^{3}[/tex]
b) Consider the trinomial [tex]25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\[/tex],
The Greatest Common Factor of 25, 5, 10 is 5
The Greatest Common Factor of [tex]x^{4} ,x^{7} ,x^{2} =x^{2}[/tex]
The Greatest Common Factor of [tex]y^{3} ,y^{8} ,y^{4} = y^{3}[/tex]
There is no G.C.F for z because it is missing in the 2nd term.
So, the G.C.F of the trinomial [tex]25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z = 5x^{2} y^{3}[/tex]
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Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4
sodas for $8.50. How much would an order of slice of cheese pizza and 3 sodas cost? 3
O $3.25
• $5.25
• $7.75
• $17.25
Cost of 1 slice of pizza and 3 sodas = $5.25
What is Linear Programming?When the requirements of a mathematical model are represented by linear relationships, the best result can be obtained using a technique known as linear programming (LP), also known as linear optimization. A particular type of mathematical programming is linear programming. Formally speaking, linear programming is a method for optimising a linear objective function under the constraints of linear equality as well as linear inequality. Convex polytopes, a set defined as that of the intersection of a finite number of half spaces, which are defined by a linear inequality, make up its feasible region. A real-valued affine (linear) function defined on the this polyhedron serves as its objective function. If there is a point in the polytope in which this function does have the smallest (or largest) value, a linear programming algorithm locates it.
Let the cost of 1 slice of pizza be x and cost of 1 soda be y.
Now,
Richard bought 3 slices of pizza and 2 sodas for $8.75
Therefore, [tex]3x+2y=8.75[/tex]
Jordan bought 2 slices of pizza and 4 sodas for $8.50
Therefore, [tex]2x+4y=8.50[/tex]
Solving above equations, we get [tex]x=2.25[/tex] and [tex]y= 1[/tex].
Cost of 1 slice of pizza and 3 sodas = 2.25 + 3*1
= 2.25 + 3
= 5.25
Hence, Cost of 1 slice of pizza and 3 sodas = $5.25
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8) Evaluate the algebraic expression for the value given: 4 - 2x;when x=6 2pointsO 12O 16-8This is a required question
We are given the following expression:
[tex]4-2x[/tex]We are asked to find the value of the expression when x = 6. To do that, we replace the value of "x" in the expression:
[tex]4-2(6)[/tex]Solving the operations we get:
[tex]4-12=-8[/tex]I will show you a pic
first we can separate the values with exponents that having the same base can be reduced
so
[tex]\begin{gathered} \frac{4.8\times2.2}{1.2}\times\frac{10^8\times10^{-6}}{10^4} \\ \\ \frac{4.8\times2.2}{1.2}\times10^{8-6-4} \\ \\ \frac{4.8\times2.2}{1.2}\times10^{-2} \end{gathered}[/tex]now do the multiplication between 4.8 and 2.2 and reduce the fraction
[tex]\begin{gathered} \frac{10.56}{1.2}\times10^{-2} \\ \\ 8.8\times10^{-2} \\ =0.088 \end{gathered}[/tex]so, the right option is B
Before attending a business meeting, Mr. Campbell is not shure whether he would sign a big contract being proposed by the other company. The opportunity is attractive but the risk is high, too. Still doubtful at the last moment, he resorts to his way of flipping a coin to decide. Mr. Campbell will flip a fair coin 4 times. If the heads never comes up 2 times in a row, he will quit. What is the probability that Mr. Campbell will decline signing the business contract? A. 1/2 B. 1/4 C. 3/8 D. 7/16
Given:
Mr. Campbell will flip a fair coin 4 times.
So, the total results = 2⁴ = 16
We will find the probability of heads coming up 2 times in a row:
We will use the tree method to find the number of heads coming up 2 times in a row, Let head (H) and tail (T)
So, the tree figure will be as shown in the following figure:
As we can see the red ellipses is the number of time comes 2 heads in a row
The number = 7
so, the probability that Mr. Campbell will decline signing the business contract = 7/16
The answer will be option D. 7/16
f(x) = -3x²
Find f(10)
Answer:
f(10) = -300
Step-by-step explanation:
f(x) = -3x^2
f(10) = -3(10)^2
f(10) = -3(100)
f(10) = -300
Kelly pumped 54 gallons of gas in 12 minutes. How many gallons of gas is pumped per minute?
Answer: 4.5 gallons
Step-by-step explanation: because i used calculator.. :)
Find the slope of the line containing the pair points. (1,0) and (5,-1)
To find the slope we can use the formula so:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]now we can replace the coordinates so:
[tex]m=\frac{-1-0}{-1-5}=\frac{-1}{-6}=\frac{1}{6}[/tex]82, 964 to the neatest ten thousand
Answer:
im pretty sure its 90000
Step-by-step explanation:
please help for 50 points (geometry)
Answer:
A
Step-by-step explanation:
Answer:
h = 2
k = 5
Step-by-step explanation:
Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
Given:
B = Midpoint = (6, 0)A = (x₁, y₁) = (3h+4, 1-2h)C = (x₂, y₂) = (k-3, k-2)Substitute the given values into the formula:
[tex]\implies (6, 0)=\left(\dfrac{k-3+3h+4}{2},\dfrac{k-2+1-2h}{2}\right)[/tex]
[tex]\implies (6, 0)=\left(\dfrac{k+3h+1}{2},\dfrac{k-2h-1}{2}\right)[/tex]
Equating the x-values to create an expression for k:
[tex]\implies \dfrac{k+3h+1}{2}=6[/tex]
[tex]\implies k+3h+1=12[/tex]
[tex]\implies k+3h=11[/tex]
[tex]\implies k=11-3h[/tex]
Equating the y-values to create an expression for k:
[tex]\implies \dfrac{k-2h-1}{2}=0[/tex]
[tex]\implies k-2h-1=0[/tex]
[tex]\implies k-2h=1[/tex]
[tex]\implies k=2h+1[/tex]
Equate the expressions for k and solve for h:
[tex]\implies 2h+1=11-3h[/tex]
[tex]\implies 5h=10[/tex]
[tex]\implies h=2[/tex]
Substitute the found value of h into one of the equations for k and solve for k:
[tex]\implies k=2(2)+1[/tex]
[tex]\implies k=4+1[/tex]
[tex]\implies k=5[/tex]
Sarah draws figure EFGH in the coordinate plane. She rotates figure EFGH 90" clockwise around vertex E to form image EF'G'H.Draw the image EFG'Hon the coordinate plane.
To first start our problem, we will draw some coordinate axis at point E, since we are rotating the figure around this vertex. We get something like this
We are going to fix the point E. But we are going to rotate the figure in the direction in which the arrow shows. Since it is a 90° rotation, our goal is to align the blue vertical line, with the red horizontal line, following the direction of the black arrow. The picture would look like this
Note that the lengths of the new figure should remaing the same. That is, the side H' E should have a length of 3 squares and the length of H' G' should be 2 squares.
Anya says that with 24 counters she can make only 6 possible arrays. Todd says he can make 8 arrays. Who is correct? Explain.
Both Anya and Todd are correct that with 24 counters both 6 arrays and 8 arrays are possible.
Whats is an array?
An array is a set of items, images, or numbers arranged in rows and columns. Arrays are practical illustrations of multiplication theories (among other ideas in mathematics).
Here 24 can also be expressed as 6x4 and 8x3 therefore both ways are possible.
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Please help
20 POINTS!
What function translates the function f(x)= |x| to the right 2 units and up 10 units?
Answer:
f(x) = |x-2| + 10
Step-by-step explanation:
A cylindrical is made of a rectangular sheet whose length and breadth are 44 cm and 18 cm respectively by Rolling it along its length find the volume of the cylinder.
Cyinder volume = π r^2 * h
r= radius
h = heigth
π= 3.1416
___________________________
Can you see the updates?
______________________________
Rectangular sheet whose length and breadth are 44 cm and 18 cm
h = 18 cm
Circle perimeter = circunference = 2 π r = 44 cm
What size apartment should she expect And what is the monthly rent for 1,500 sq ft
5.
The given linear regression is
[tex]y=0.775x+950.25[/tex]Where x represents the square footage of the apartment and y represents the monthly rental price
Grace can afford $1500 per month rent
This implies
y = $1500
Substitute y = $1500 into the linear regression
This gives
[tex]1500=0.775x+950.25[/tex]Solve the equation for x
[tex]\begin{gathered} 1500-950.25=0.775x \\ 549.75=0.775x \\ x=\frac{549.75}{0.775} \\ x=709.25 \end{gathered}[/tex]Therefore,
The size of the apartment is 709.25 square footage
12.y- 7=4(x +4)15.y +5 =-5(x-3)18.y + 11=1/3(X+3)
the equation in the standard form is Ax + By = C
12.
[tex]\begin{gathered} y-7=4\mleft(x+4\mright) \\ y-7=4x+16 \\ y-7+7=4x+16+7 \\ y=4x+23 \\ y-4x=4x-4x+23 \\ -4x+y=23 \end{gathered}[/tex]15.
[tex]\begin{gathered} y+5=-5(x-3) \\ y+5=-5x+15 \\ y+5-5=-5x+15-5 \\ y=-5x+10 \\ 5x+y=10 \end{gathered}[/tex]18.
[tex]\begin{gathered} y+11=\frac{1}{3}(x+3) \\ y+11=\frac{1}{3}x+1 \\ y+11-11=\frac{1}{3}x+1-11 \\ y=\frac{1}{3}x-10 \\ -\frac{1}{3}x+y=-10 \end{gathered}[/tex]in a park, the ratio of adults to children is 9 to 3. If there are 216 people in the park, how many children are there?
Answer:
if the question specifically says people then the amount of children are 54.
if the question specifically says the amount of adults in the park compared to the children when there are 216 adults, then the answer is 72.
Step-by-step explanation:
children and adults
so we know that this is a scale factor question because there is a ratio involved . the ratio is 9 to 3 . so the next ratio answer is 216 to what ?
how do you get from 9 to 216 ? the answer is that you multiply by 216 / 9 . this is a form of math short hand if you did not know already . to get from y to x, you multiply y by x/y.
so basically that means that you multiply 9 by 216 / 9 to get to 216 . that means that the scale factor is 216 / 9 . so you will want to multiply three by 216 / 9 because 216 / 9 is the scale factor .
216 / 9 is equal to 24 . now multiplying the scale factor by 3 is equal to 72 . therefore there are 72 children compared to 216 adults.
_____
children and people
if the question is asking specifically people not adults then instead you will want to add nine with three to get the total amount of people . 9 + 3 = 12 so the new ratio will be 12 people to three children . so with the same idea in mind 12 to 3 and 216 to what? to get from 12 to 216 you need to multiply by 216 / 12 thus 216 / 12 is the scale factor in this situation. 216 / 12 = 18 so the scale factor here is 18 so you need to multiply 18 by 3 to get the total amount of children there compared to the total amount of people . the total amount of children there are 54 .
-3n = 6n = ???I need help
What is the solution for x in the given equation?
Answer:
42/11 or 4.454545..
Step-by-step explanation:
square both sides
(SQRT(9x+7) + SQRT(2x))^2 = 7^2
9x+7 + 2x = 49
11x = 42
x = 42/11 or 4.4545...
in the figure, M angle 7 =100, find the measure of angle 6?how would I solve this?
The angle 6 has its measure to be 80 degrees
How to determine the measure of angle 6?The figure represents the given parameter
Also from the question, we have the following parameters that can be used in our computation:
m∠angle 7 = 100 degrees
The angles 7 and 6 are angles on the same straight line
As a general rule of angles, angles on the same straight line add up to 180 degrees
This means that
m∠angle 7 + m∠angle 6 = 180
Substitute the known values in the above equation
So, we have the following equation
100 + m∠angle 6 = 180
Subtract 100 from both sides
So, we have the following equation
- 100 + 100 + m∠angle 6 = 180 - 100
Evaluate the like terms in the above equation
m∠angle 6 = 180 - 100
Evaluate the like terms in the above equation
m∠angle 6 = 80
Hence, the measure of angle 6 is 80 degrees
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