Answer:
12x + 45 < 117
Name the coordinates of the final image of the figure after the given sequence of
transformations.
(x,y)——> (y,-x)——> (-x,y)
9514 1404 393
Answer:
S''(5, -3)T''(1, 0)U''(4, 1)V''(4, 0)Step-by-step explanation:
The end result after the final transformation is ...
(x, y) ⇒ (-x, y)
so, each x-coordinate is negated. The transformed coordinates are ...
S(-5, -3) ⇒ S''(5, -3)
T(-1, 0) ⇒ T''(1, 0)
U(-4, 1) ⇒ U''(4, 1)
V(-4, 0) ⇒ V''(4, 0)
The first three terms of the binomial expansion of (2 – ax)" are 64 – 16bx +100bx?.
Find the value of each of the integers n, a and b.
Ans: n=6, a=5, b=60
Answer:
n = 6, a = 5, b = 60
Step-by-step explanation:
In a binomial function (a + b)ⁿ expression that represents the terms,
(a + b)ⁿ = [tex]\sum_{k=0}^{n}\binom{n}{k}a^{n-k}b^k[/tex]
By this formula,
1st term = [tex]\binom{n}{0}a^{n-0}b^0[/tex] = aⁿ
2nd term = [tex]\binom{n}{1}a^{n-1}b^1[/tex] = [tex]n.a^{n-1}b^1[/tex]
3rd term = [tex]\binom{n}{2}a^{n-2}b^2[/tex] = [tex]\frac{n(n-1)}{2}.a^{n-2}.b^2[/tex]
For the binomial expansion initial 3 terms of (2 - ax)ⁿ = 64 - 16bx + 100bx²
Terms of (2 - ax)ⁿ = [tex]2^n+n(2)^{n-1}(-ax)+\frac{n(n-1)}{2}(2)^{n-2}(-ax)^2[/tex]
= [tex]2^n-n(2)^{n-1}(ax)+n(n-1)(2)^{n-3}(a^2x^2)[/tex]
Comparing the terms of both the expansions,
1st term
2ⁿ = 64
2ⁿ = 2⁶
n = 6
2d term
[tex]n(2)^{n-1}(ax)=16bx[/tex]
[tex]6(2)^{6-1}(a)=16b[/tex]
192a = 16b
b = 12a -----(1)
3rd term
[tex]n(n-1)2^{n-3}(a^2x^2)=100bx^2[/tex]
[tex]6(6-1)2^{(6-3)}(a^2)=100b[/tex]
[tex]30(2)^3(a^2)=100b[/tex]
240a² = 100b
b = 2.4a² -----(2)
From equation (1) and (2),
b = 12a = 2.4a²
a = [tex]\frac{12}{2.4}=5[/tex]
From equation (1)
b = 12a = 60
Therefore, n = 6, a = 5, b = 60
Follow these steps to construct a triangle to represent the given information:
Draw a ray in the direction S 20° E from point P. Create a circle with radius 43.5. (Note that you'll be scaling down all the distances in miles by a factor of 10: 435 ÷ 10 = 43.5.) Label the point where the circle intersects the ray as C (Cali).
Draw a ray in the direction S 81° E from P. Mark an arbitrary point on this ray, and label it S.
Create a line through point S that is parallel to the north-south line through P.
Using the line passing through point S, draw a ray that is S 53° W.
Move point S along line PS until the ray S 53° W from S passes through point C. This position of S locates San Cristobal.
Paste a screenshot of your construction in the space below.
Answer:
i have to write something here so reading this is a waste of time.
A triangle can be constructed by different means such as:
A, B, C - angles or vertices.a, b, c - sides opposite to A,B,C, respectively, or their lengths.ha, hb, hc - altitudes (or sometimes heights) to the sides a,b,c.What is a Triangle?This refers to the plane figure that has three sides and angles.
Hence, we can see that in order to construct a triangle, they can be done by different means and the construction cannot be done for you, but the other means can include:
ma, mb, mc - medians to the sides a,b,c.la, lb, lc - bisectors of the angles A, B, C.Read more about triangles here:
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3g-2+7g+8=
What is this
Answer:
10g+6 is the answer
Step-by-step explanation:
Is 13 a solution to the compound inequality “x > 5 OR x < 10”
Answer:
no
Step-by-step explanation:
x is greater than 5 in this case, but it is not less than 10.
Answer:
13 > 5 is the solution
Step-by-step explanation:
because 13 is greater than 5
and 13 < 10 is not true because
10 is not greater than 13
need rn! worth 30
What is the value of T(−4) when T(x)=−x−2?
Answer:
Step-by-step explanation:
explain how to get the slope equation for (1,2) and (3,8)
Answer:
8-2/3-1
Step-by-step explanation:
slope equation is y2-y1 over x2-x1 so in that case you would put on top the 8-2 and then for the bottom you would put the 3-1
I am having problem in these:-
1)There are two cylinders - cylinder A and cylinder B. Both the cylinders have equal volume,
Cylinder A has a nadius of 3 m and height 7 m. Cylinder B has a height of 21 m. Calculate the radius of Cylinder B, in
om (Take =22/7)
2)A rectangular tank has dimension 12 cm by 18 cm by 20cm. There is a solid cylindrical tube in the tank that has a
volume of 320 cm"3. How much water can the tank hold?
Answer:
1) The cone's volume is 1/3 the volume of the cylinder with the same base.
Step-by-step explanation:
i dont know number 2 even though this is 5th grade math lol
Write 0.00109 ounces in scientific notation
A lines slope is 6 and it's y-intercept is 5 what is the equation in slope-intercept form
Answer:
y=6x+5
Step-by-step explanation:
Write an equation of the line with a slope of 3/4 and a y-intercept of -2.
Answer:
y = 3/4x - 2
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 3/4
y-intercept b = -2
Step 2: Write linear equation
y = 3/4x - 2
A compound inequality is graphed, and its graph consists of all real numbers. Which open sentence could have resulted in this solution set?
Group of answer choices
r > 3 or r > –2
r > 3 or r –2
r < 3 or r < –2
Answer:
r>3 or r >-2
Step-by-step explanation:
10(y-8)=8 what is y please help
Answer:
okay i dont have a answer but use Math-way its awsome! just type the queation it will give u a answer!
Answer:
44/5 or 8.8 or 880%
Can someone Help me plz ASAP
Answer:
Please check the explanation.
Step-by-step explanation:
Given the angles of the trapezoid
x°x°1/2x°1/2x°As the sum of angle measure = 360°
i.e.
[tex]x+x+\frac{1}{2}x+\frac{1}{2}x=360[/tex]
[tex]x+x+2\cdot \frac{1}{2}x=360[/tex]
[tex]2x+2\cdot \frac{1}{2}x=360[/tex]
[tex]2x+x=360[/tex]
[tex]3x=360[/tex]
[tex]\frac{3x}{3}=\frac{360}{3}[/tex]
[tex]x=120[/tex]
The value of x = 120°
Hence, the angle measure will be:
x°=120x°=1201/2x°=1/2(120)=601/2x°=1/2(120)=60Therefore, listing the angle measure in order from least to greatest
60°, 60 , 120 , 120°
Two individuals heterozygous for gene Q produced gametes by meiosis, then mated and fertilized one egg. What is the probability that both the egg and sperm will carry the recessive allele?
Answer:
0.25
Step-by-step explanation:
Following the law of segregation which states that only one of the two gene copies noticeable in an organism is diffused to each gamete (egg or sperm cell) and gene allocation is random.
A heterozygous gene for Q = Qq
If these two individuals mate and produce gametes by meiosis,
The probability that both the egg and sperm will carry the recessive allele is determined as follows:
Qq × Qq
Q q
Q QQ Qq
q Qq qq
The probability that both the egg and sperm will carry the recessive allele qq is 25% or 0.25
A student received a 76% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the
total number of questions? A. 20:15 B. 5:20 C. 15:20 D. 20:5
Answer:
A
Step-by-step explanation:
Write a linear function f with the given values. f(0) = -2,f(4) = -3
А
f(x) = {x+5
B f(x) = x
c f(x) = x-5
D f(x) = 2x - 5
Answer:
f(x) = [tex]-\frac{1}{4}[/tex] x - 2
Step-by-step explanation:
Slope of the line: m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
f(x) = mx + b (b - is y-intercept)
(0, - 2) Coordinates of y-intercept
(4, - 3)
m = [tex]\frac{-3+2}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]
f(x) = [tex]-\frac{1}{4}[/tex] x - 2
Solve for x. It’s in the picture
Answer:
c,x=12
Step-by-step explanation:
5/6x+4=x+2
2=1/6x
x=12
please i need this answer
What is the range of the quadratic function graphed below?
Answer:
x
Step-by-step explanation:
he domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.
Answer:
The range is y [tex]\geq 1[/tex].
Step-by-step explanation:
The graph is shifted up 1 unit, so the range will be everything positive after 1. Anything below 1 would not be in the range.
#teamtrees #WAP (Water And Plant)
help me I don’t wanna fail mann
Answer:
x=6
∠TSU=12x=12(6)=72
Step-by-step explanation:
∠TUS+∠STU+∠TSU=180
∠TUS+12x+81=180
∠TUS=99-12x
∠TUS+∠TUV=180
99-12x+24x+9=180
108+12x=180
12x=72
x=6
∠TSU=12x=12(6)=72
There you go. Try and use these solutions to solve others for yourself. You got it.
Answer:
x = 6°∠TSU = 72°Step-by-step explanation:
Angle TUV is exterior angle to triangle TUS. Exterior angle measure is equal to sum of non-adjacent interior angles:
∠TUV = ∠STU + ∠TSU24x + 9 = 81 + 12xSolving for x
24x - 12x = 81 - 912x = 72x = 72/12x = 6°Finding angle measure of ∠TSU
∠TSU = 12*6° = 72°Which would you simplify in order to evaluate the expression when the value of the variable is 2?
8.9/2
8.9 + 2
8.9(2)
(8.92)
Answer:
C. 8.9(2)Happy to help!
Answer:
C
Step-by-step explanation:
evaluate the expression 2b3 + 5 when b = 3.
Answer:
Its 3
Step-by-step explanation:
Its Really easy ngl. if b = 3 and there is a 2 and u are supposed to replace the b its 3
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of 2b³ + 5 at b = 3 is 59.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2b³ + 5 _____(1)
We will find the value of the expression 2b³ + 5 at b = 3.
Substitute b =3 in (1).
= 2b³ + 5
= 2 x 3³ + 5
= 2 x 3 x 3 x 3 + 5
= 2 x 27 + 5
= 54 + 5
= 59
Thus,
The value of 2b³ + 5 at b = 3 is 59.
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Max is a professional table organizer. For today’s event, he brought square tables. A single square table can seat 4 people, one at each side, as in the first picture below. If Max joins 2 tables along a side, as in the picture, he can seat 6 people. How many people can Max seat with even more tables?
Answer:
The function would be 2(t)+2 where t is the number of tables. So, the answer in a form of a table would look like this:
Tables People
1 4
2 6
3 8
4 10
5 12
Step-by-step explanation:
Khan Academy
The Coney Island Boardwalk is 2.7 miles long. A person jogged at the average speed of 6 mph. How long will it take the person to walk the boardwalk to the end and back?
Answer:0.9
Step-by-step explanation:
The speed of an object is defined as the ratio of distance travelled by it to the time taken. It will take a person 0.9 hours to walk end and back .
What is Speed?Speed is the ratio of distance and time. It is a measure of how fast or slow an object is moving. A high speed object takes less time to travel the same distance as compared to a low speed object.
Given length of island is 2.7 miles.
Speed of the person is 6 mph.
Thus total length for travelling end and back 2.7 + 2.7 =5.4 miles.
Time taken = distance/speed
Therefore, time taken by the person is given as, time is 5.4/6 = 0.9 hours.
Hence, the person will have to take 0.9 hours to walk island end and back.
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You are shopping for your holiday feast. The price for
a turkey at Walmart is $12.62 for 10.7 pounds. The
cost for a turkey at Kroger is 8.45 for 8.5 pounds.
Which store has the best unit price for Turkey?
Answer:
Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99
So, Kroger has the best unit price for Turkey.
Step-by-step explanation:
Price of 10.7 pound Turkey at Walmart = $12.62
Price of 8.5 pound Turkey at Kroger = $8.45
We need to find store that provides best unit price for Turkey.
We need to find price of 1 pound of Turkey for each store
Price of 1 pound of Turkey at Walmart:
Price of 10.7 pound Turkey at Walmart = $12.62
Price of 1 pound Turkey at Walmart = $12.62/10.7
Price of 1 pound Turkey at Walmart = $1.18
Price of 1 pound of Turkey at Kroger
Price of 8.5 pound Turkey at Kroger = $8.45
Price of 1 pound Turkey at Kroger = $8.45/8.5
Price of 1 pound Turkey at Kroger = $0.99
So, Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99
So, Kroger has the best unit price for Turkey.
The zeros of a quadratic function are 1 and 7. To which factored quadratic expression is this function related?
The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).
Calculation of the factored quadratic expression:Since The zeros of a quadratic function are 1 and 7.
So,
if we do
(x - 1) = 0
x = 1
And,
(x- 7) = 0
x = 7
Based on this, we can say that The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).
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send the answer fast plz with process 18 to 23
18. Perimeter of rectangle = 2(l + b)
l = 16m
b = 12m
Perimeter of rectangular park = 2 (12 + 16)
= 24 + 32
= 56m
Perimeter of square park = 56m
(given that, perimeter of rectangular and square park are equal)
Perimeter of square = 4a
4a = 56
a = 56/4
a = 14m
Area of square park = a²
= 14²
= 196m²
What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?
determine triangle type?
Answer:
scalene obtuse
Step-by-step explanation:
all sides are different and it has an angle 90 or greater
Answer:
Scalene obtuse I guess?
Ryan has three consecutive scores for math. The sum of these scores is
264. Find his three math scores.
Answer:
88(%)
Step-by-step explanation:
So! We know Ryan has 3 consecutive scores or 3 of the same scores in a row, so we are going to divide 264 by 3!
264 ÷ 3 = 88
So, Ryan got an 88% 3 times!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO