Answer:
1
or,x+60°=180°(Being the sum of supplementry angle is equal to 180°)
or,x=180°-60°
:x=120°
2
or,y=120°(Being corresponding angle)
Y is between X and Z. T is
between Y and Z. If XZ = 90, YT = 22, and XY = TZ, what is XT?
(step-by-step pls)
g(b)=5b-9
h(b)=(b-1)^2
(h*g)(-6) = ???
[tex](h \times \: g)(b) = (b - 1)^{2} (5b - 9) \\ = ( {b}^{2} - 2b + 1)(5b - 9) \\ = 5 {b}^{3} - 19 {b}^{2} + 23b - 9[/tex]
[tex](h \times \: g)( - 6) = 5( - 6) ^{3} - 19( { - 6}^{2}) + 23( - 6) - 9 \\ = 5( - 216) - 19(36) - 138 - 9 \\ = - 1080 - 684 - 138 - 9 \\ = - 1911[/tex]
I hope I helped you^_^
The value of function (h·g)(b) for x=-6 is -867.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are g(b)=5b-9 and h(b)=(b-1)².
Now, (h·g)(b)=h(b)×g(b)
= (b-1)²×5b-9
= (b²-2b+1)×(5b-9)
= b²(5b-9)-2b(5b-9)+1(5b-9)
= 5b³-9b²-10b²+18b+5b-9
= 5b³-10b²+23b-9
Now, (h·g)(-6)
= 5(-6)³-10(-6)²+23(-6)-9
= -1080+360-138-9
= -867
Therefore, the value of function (h·g)(b) for x=-6 is -867.
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calculate the mean of the set of boys and girls below:
boys 21, 18, 20, 16, 16, 22, 28, 24, 26
girls 13, 16, 15, 14, 15, 19, 22, 26, 12
A-boys: 21.22 girls: 16.89
b-boys, 21 girls, 15
c-boys 18.5 girls 17
d-boys 18.5 girls 15
Answer:
Boys: 21.22 Girls: 16.89
Answer: A
Step-by-step explanation:
Add all the data points and divide it by the number of the data points.
17. In a speech class, students must give a final speech for their exam. The speech can be 15 minutes, or within that time by 4 minutes. Write an absolute value equation that represents the minimum and maximum lengths of the final speech
Answer:
| t − 15 | = 4
Step-by-step explanation:
absolute value is weird and i see no use for it
In a single throw of two coins,find the probability of getting each of the following:-)
i.)Tails on both
ii)Tails at least on one
iii)Tails on one
iv)No tails
Should be answered by:-)
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other best users
Step-by-step explanation:
1.) two tails :
total no. of outcomes possible is TT,TH,HT,HH
no. of outcomes with TT is 1
p( tails on both) = 1/4
2.) tails at least one:
no. of outcomes with one tails atleast is 3 (TT,th,ht,)
p( atelast one tails) = 3/4
3.) tails on one
no. of outcomes with one tails at most is 2 (th,ht)
p( atmost one tails) is 2/4= 1/2
4. no tails
no. of outcomes with no tails is 1(HH)
p( no tails) = 1/4
hope it's understandable.
Answer:
1.) two tails :
total no. of outcomes possible is TT,TH,HT,HH
no. of outcomes with TT is 1
p(tails on both) = 1/4
2.) tails at least one:
no. of outcomes with one tails atleast
is 3 (TT,th,ht,)
p(atelast one tails) = 3/4
3.) tails on one
no. of outcomes with one tails at most is 2 (th,ht)
p(atmost one tails) is 2/4= 1/2
4. no tails
no. of outcomes with no tails is 1(HH)
p(no tails) = 1/4
Solve the inequality for v. 40 ≤ 4v
please will mark brainiest.
Hi ;-)
[tex]40\leq4v\\\\4v\geq40 \ \ /:4\\\\v\geq10\\\\\huge\boxed{v\in\langle10;+\infty)}[/tex]
Answer:
[tex]v\geq 10\\[/tex]
Step-by-step explanation:
Divide both sides by 4.
Flip
Typical grade distribution for a geometry course with 35 Students
Answer:
if this is a legitimate math homework question and
not just a question about you personal math class...The answer expected would be calculated using the empirical normal distribution rule (68-9599.7):
1 - F
5 - D's
23 C's
5 - B's
1 - A
Step-by-step explanation:
The quotient of a number and three tenths decreased by 2 is 6
I believe the answer you are looking for is 2.4.
Solution:
n over 3/10-2=6
n over 3/10=8
Multiply 3/10 and 8
You will get 2.4.
Is the following irrational or rational?
ILL GIVE BRAINLIEST
6.4
2.178046372849
-2
What is the factored form of this expression x^3+3x^2-6x-18
Answer:
(x + 3) (x^2 - 6)
Step-by-step explanation:
Factor the following:
x^3 + 3 x^2 - 6 x - 18
Factor terms by grouping. x^3 + 3 x^2 - 6 x - 18 = (x^3 + 3 x^2) + (-6 x - 18) = x^2 (x + 3) - 6 (x + 3):
x^2 (x + 3) - 6 (x + 3)
Factor x + 3 from x^2 (x + 3) - 6 (x + 3):
Answer: (x + 3) (x^2 - 6)
The pages in a book are numbered starting with one. The book has 250 pages. How many digits did the printer use in numbering the pages of the book? A. 640 B. 642 C. 320 D. 321
Answer:
B)642
Step-by-step explanation:
Between 1 and 9 , it will use 9 letters
Between 10 and 99, there are 90 different numbers and every number have 2 digits so it will use 180 letters
Between 100 and 250 , there are 151 different numbers and every number have 3 digits so it will use 453 letters
Totally it used 9+180+453=642
Hurry I'm timed please
5 x (-4)-((-6)-7)
(The X means to multiply)
Answer:
[tex] - 62[/tex]
Step-by-step explanation:
[tex]5 \times ( - 4) - (( - 6) - 7) \\ = - 20 - 42 \\ = - 62[/tex]
Hope it is helpful.....Brier has 2 hours to finish a slide presentation. It takes him 1/6 hours to create each slide. How many slides can he creat in 2 hours?
Answer:
12 slides
Step-by-step explanation:
If he can make 6 slides in each hour, and he has 2 hours, take 6x2=12 because there are 2 hours.
is 5/3 an integer?
Answer:
No!
Step-by-step explanation:
An integer is a a whole negetive number. A few examples are 4, -4, or even 4/4.
Yolanda has 3/4 of a cup of sugar. This is 3/5 of what she needs. How much sugar does Yolanda need?
Show your reasoning.
Answer:
[tex]1\frac{1}{4}[/tex] cups
Step-by-step explanation:
1. Info we have3/4=3/5
2. Solving3/4*1/3=3/5*1/3
1/4 = 1/5
1/4*5=1/5*5
5/4=5/5
5/4= 1 and 1/4 cups
Hope this helped! Please mark brainliest :)
~~ SUMMER ~~
The length and breadth of a retanlge are (2x+y) cm (x+2y)cm respectively. Find its area.
Answer:
2x^2+5xy+2y^2
Step-by-step explanation:
Area = l*b
Area = (2x+y)*(x+2y)
Area = 2x^2+5xy+2y^2
Help! write the set of numbers in set-builder notation: the set of all real numbers except 100
Answer:
Step-by-step explanation:
The set of all real numbers except for 100 in set builder notation (assuming the variable is x) is:
The very first x represents the variable.
The second with the R represents the number. Here, we want all real numbers.
And the third is the constraint. We want all real numbers except for 100.
Answer:
{ x | x ∈ R, x ≠ 100 }
Step-by-step explanation:
Real numbers (R) include all rational and irrational numbers.
Hence, If we need to write it in set-builder notation, we will write as:
{ x | x ∈ R, x ≠ 100 }
In words : "x such that x belongs to R, x is not equal to 100"
This shows that x is any real number except for 100.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Sarah counted the number of tiles at each step and made a table. She explained that the
number of tiles in each figure was always 3 times the step number minus 2.
Create an equation that fits Sarah's way of seeing the relationship.
PLS HELP DUE IN 10 min!!
Answer:
n(number of tiles) x 3 - 2
Step-by-step explanation:
times mean multiplication and minus mean subtraction, I hope this helps.
An equation is formed of two equal expressions. An equation that fits Sarah's way of seeing the relationship is y = 3x - 2.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
As stated by Sarah that "the number of tiles in each figure was always 3 times the step number minus 2", this can be written in the form of an equation as shown below.
Number of tiles = [3 × (Number of steps)] - 2
Assume that the number of tiles is represented by y, while the number of steps can be written as x. Therefore, we can write the equation as,
y = 3x - 2
Now, let's check the equation,
When the number of steps is 3, the number of tiles is 7.
y = 3(3) - 2
y = 9 - 2
y = 7
Since the number of tiles is the same, therefore, the equation is correct.
Hence, an equation that fits Sarah's way of seeing the relationship is y = 3x - 2.
Learn more about Equation here:
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ABC is an isosceles triangle: AC = 13cm. What is the length of AB?
AC=13cm
[tex]\\ \sf\longmapsto AB[/tex]
[tex]\\ \sf\longmapsto AC[/tex]
[tex]\\ \sf\longmapsto 13cm[/tex]
1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the water. Find the length of the pole .
Answer:
75m
Step-by-step explanation:
let X be the length of the pole1/5 of the pole is in water so =1/5X2/3 of the pole is in mud= 2/3X10m is above the polelength of the pole (X)= length of pole in mud+length of pole in water+length of pole in airX(m)=1/5X+ 2/3X+10X- 13/15X=102X= 10x15X=75mconvert 550 minutes into weeks
Answer:
0.0545635
Step-by-step explanation:
divide the time value by 10080
Can someone help me out?
Answer:
I think it's D.................
This three pleaseee
Answer:
Hi. 6.2 is rational
Step-by-step explanation:
Irrational numbers never end. They go on forever.
x^3*x^8=x^11 (When you multiply, add the powers)
graph of f(x)= -3x*2+12and g(x)=mx+6
Answer:
see the picture
Step-by-step explanation:
hope it helps you
please follow me please
Determine whether each pair of segments is congruent.
Plz can someone help me
Answer:
23. Congruent
24. Not congruent
Step-by-step explanation:
23. KJ and HL:
Since the side lengths are both 4 in, these segments are congruent.
24. EH and FG:
Since the side lengths are different numbers (0.45 cm and 0.5 cm), these segments are not congruent.
In the figure, ABFG and CDEF are two
10
parallelograms such that the sum of their areas is
702 cm². If AB = CD = EF = FG =
BC , find the
area of the shaded region.
G
F
E
+
Answer:
[tex]A_{BCF}[/tex] = 351 cm²
Step-by-step explanation:
i really need this answer
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
Answer: -1, 13
Step-by-step explanation:
mark me brainliest if you want plz
Midpoint formula: (x2 + x1)/2, (y2 + y1)/2
(-6 + 4) / 2, (14 + 12) / 2
(-2) / 2, 26 / 2
(-1, 13)
5x+2
2x
Perimeter:
PLEASE HELP
Answer:
14x + 4
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides. The rectangle have two sides with length 5x + 2, so:
(5x + 2)×2 = 10x + 4
And it also have two sides with length 2x, so:
(2x)×2 = 4x
And now just add it:
10x + 4 + 4x = 14x + 4
Answer: Perimeter = 14x + 4
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Given information
l = 5x + 2
w = 2x
Given expression
Perimeter = 2 (l + w)
Substitute values into the expression
Perimeter = 2 (5x + 2 + 2x)
Combine like terms
Perimeter = 2 (7x + 2)
Expand parentheses and apply the distributive property
Perimeter = 2 · 7x + 2 · 2
Perimeter = 14x + 4
Hope this helps!! :)
Please let me know if you have any questions