Answer:
x = 51, y = 17
Step-by-step explanation:
Consecutive angles sum to 180° , so
x + 129 = 180 ( subtract 129 from both sides )
x = 51
-------------------------------------
Opposite angles are congruent, so
3y = x = 51 ( divide both sides by 3 )
y = 17
Step-by-step explanation:
x + 129° = 180°
x = 180°- 129°
x = 51°
3y + 129° = 180°
3y = 180° - 129°
3y = 51°
y = 51°/3
y = 17°
15/25 = y/30. Solve for y.
15/25= y/30
y= 3/5×30
y= 3×6
y=18
THE ANSWER IS Y=18
Answer:
y = 6
Step-by-step explanation:
One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5. Then
1 y
---- = -----
5 30
Through cross-multiplication, we get 5y = 30, or y = 6
please help soon, i can't seem to figure this one out!!
Consider the following equation. -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point.
A. x = 3/4
B. x = 13/16
C. x = 7/8
D. x = 15/16
The required solution after three successive iterations is near x = 7/8. Option c is correct.
Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.
The equation is the values of two expressions that are equal.
Here,
[tex]-2x + 6 = -(2/3)^x + 5[/tex]
Arranging the equation
[tex]-2x + 6 +(2/3)^x - 5 = 0\\(2/3)^x-2x+1=0[/tex]
Since the solution of the equation is when f(x) = 0 at near to x = 0.8
[tex]f(x) = (2/3)^x-2x+1\\[/tex]
First iteration at x =0.8
[tex]f(0.8) = (2/3)^x-2x+1\\ = (2/3)^{0.8}-2*0.8+1\\ = 0.123[/tex]
It will go up more to get exact zero, so
Second iteration at x = 0.9
[tex]f(0.9) = (2/3)^{0.9}-2*0.9+1\\f(0.9) = -0.106[/tex]
It seems that zero is near 0.9 so will go down
The third iteration at x = 0.87
[tex]f(0.87) = (2/3)^{0.87}-2*0.87+1\\f(0.87) = -0.037[/tex]
Here , solution is much near to x = 0.87 or x =7/8.
Thus, the required solution after three successive iterations is near x = 7/8.
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Write the equation of the line passing through the points (-4,6) and (-6,4).
Answer:
y=x +10
Step-by-step explanation:
answer is in photo above
Answer:
y = 1x + 10
Step-by-step explanation:
y2 - y1 / x2 - x1
4 - 6 / -6 - (-4)
-2 / -2
= 1
y = 1x + b
4 = 1(-6) + b
4 = -6 + b
10 = b
Which of the following could be the measure of the angle below?
Answer:
There is nothing below.
Step-by-step explanation:
7.
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+36t+9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
A. 1.13 s; 69.75 ft
B. 1.13 s; 29.25 ft
C. 2.25 s; 9 ft
D. 1.13 s; 31.5 ft
Answer:
The answer is 1.13;29.25
Step-by-step explanation:
Answer: The ball reaches its maximum height in 1.13 seconds. b) The ball's maximum height is 30.25 feet.
This sort of problem is solved easily by a graphing calculator.
a) The ball reaches its maximum height in 1.13 seconds.
b) The ball's maximum height is 30.25 feet.
_____
Since you want to know when and where the peak value of the function occurs, it is convenient to put it into vertex form.
h = -16(t² -(9/4)t) + 10
h = -16(t² -(9/4)t +(9/8)²) +10 +16(9/8)²
h = -16(t -9/8)² + 10 + 81/4
h = -16(t -9/8)² + 30 1/4
The vertex of the function is (9/8, 30 1/4) ≈ (1.13, 30.25).
h = -16t^2 + 36t + 9
At maximum height h' = 0,
h' = -32t + 36 = 0
32t = 36
t = 36/32 = 1.13 s.
Maximum height = -16(1.125)^2 + 36(1.125) + 9 = 29.25 ft
Answer is option d (1.13 s, 29.25 ft)
The answer is 1.13;29.25
The Grade 5W students at the Eber Prep School wanted to create a mural on one
side of the walls in their classroom. the area of the wall is 36 square meters or 36
meters square.
Answer:
the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about
Ms. Lesure is going to buy lunch for Mr. Shows Interactions A class. How many whole pizzas would she need to buy (assume each pizza has 8 slices) assuming there are 10 boys and 8 girls and the boys will eat 2 slices each and the girls will eat 1.5 slices each?
Answer:
Ms. Lesure is going to need to buy 4 pizzas for Mr. Shows Interactions A class. The boys would eat 20 slices and the Girls in total will eat 12 slices. In total you'll need about 32 slices and 32 divided by 8 is 4.
Step-by-step explanation:
can you find function asap please
Answer:
i think the function is 7
Step-by-step explanation:
Mike graphed an exponential growth function that has a y-intercept of 5.
Which of the following functions did Mike graph?
a) y = 2^5x
b) y= 5(2^x)
c) y= 2^x +5
d) y= 2^x-5
Given m || n, find the value of x and y
X = 21
Y = 30
X:
(3x - 15) + (6x + 6) = 180 -- combine like terms
9x - 9 = 180 -- add 9 to both sides
9x = 189
x = 21
Y:
Plug x into 3x-15
3(21) - 15 = y + 18
63 - 15 = y + 18
48 = y + 18 -- subtract 18 from both sides
y = 30
Julie is solving the equation x2 + 5x+6= 0 and notices that the discriminant b2- 4ac has a value of 1. This tells her that the equation
has
A) no real roots
B) exactly one real root.
C) exactly two real roots.
D) exactly three real roots.
Answer: C
Step-by-step explanation:
If you use the quadratic equation you will find that there are two possible answers to this problem
The explanation shows that the equation has exactly two real roots. so the correct option is C.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given that Julie is solving the equation x² + 5x+6= 0 and notices that the discriminant b²- 4ac has a value of 1.
x² + 5x+6= 0
The discriminant = b²- 4ac = 1
It will be Real and distinct because the discriminant is positive.
There are two roots of a quadratic equations always if the discriminant is positive. We say that the quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.
Hence, This tells her that the equation has exactly two real roots. so the correct option is C.
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Given a circle with a center at (-3.1) and a radius of 4, is the point (1,-2) inside,
outside or on? Show all work for your proof.
Answer:
Step-by-step explanation:
distance between center and (1,-2) is
[tex]d=\sqrt{(1-(-3))^2+(-2-1)^2} \\=\sqrt{16+9} \\=5>4\\[/tex]
distance of the point from the center>radius of circle.
So it lies outside the circle.
Solve for w.
69=5w – 16
Simplify your answer as much as possible.
Middle School teaches 6th, 7th, and 8th grade classes. The sixth grade has 318 students, the 7th has 286 students, and the 8th has 306 students. If the sixth grade takes a field trip and each student needs $3.50, how much total money is needed by the students? $910 c. $1113 b. $3185 d. $1071
Answer:
$3185
Step-by-step explanation:
Multiply the number of grade 6 students by the money needed ($3.50) and you get 318x3.50=1113
Multiply the number of grade 7 students by the money needed ($3.50) and you get 286x3.50=1001
Multiply the number of grade 8 students by the money needed ($3.50) and you get 306x3.50=1071
Add all the total amounts together and you get $3185
The expression 6 x 2gives the surface area of a cube, and the expression x 3gives the volume of a cube, where x is the length of one side of the cube. Find the surface area and the volume of a cube with a side length of 2 meters
Answer Expert Verified
3.1/5
18
Surface of a cube=S(x)
S(x)=6x²
S(2 m)=6(2 m)²=6(4 m²)=24 m²
The surface of this cube is 24 m².
Volume of a cube=V(x)
V(x)=x³
V(2 m)=(2 m)³=8 m³
Answer:
18
Step-by-step explanation:
HELP PLEASE !!!!!!!!!!!
Answer:
option B
Step-by-step explanation:
[tex]\lim_{x\to \infty} f(x) = \lim_{x \to \infty} (log(x+2)-3 )[/tex]
[tex]= \lim_{x \to \infty} ( log(x+2)) - \lim_{x \to \infty} 3\\\\=\infty - 3\\\\= \infty[/tex]
[tex]\lim_{x \to 2} f(x) = \lim_{x \to 2} ( log(x+2)) - \lim_{x \to2} 3\\\\[/tex]
[tex]= log( 2 + 2 ) - 3\\\\= log 4 - 3\\\\=log(2^2) -3\\\\=2 log 2 -3[/tex]
[tex]\lim_{x \to -2} f(x) = \lim_{x \to -2} ( log(x+2)) - \lim_{x \to -2} 3\\\\[/tex] [tex]\lim_{x \to -2}_+ f(x) = \lim_{x \to -2_+} ( log(x+2)) - \lim_{x \to -2_+} 3 = -\infty\\\\\lim_{x \to -2_-} f(x) = \lim_{x \to -2}_- ( log(x+2)) - \lim_{x \to -2}_- 3 = -\infty\\\\\\\lim_{x \to -2} f(x) = - \infty[/tex]
13 14 14 17 18 20 20 what's the mode?
Answer:
mode is 14,20
if you dont know mode is the frequency of the numbers
Step-by-step explanation:
Answer:
14 & 20
Step-by-step explanation:
the number that appears the most
what is the scale factor from ABC to DEF?
Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{EF}{BC}[/tex] = [tex]\frac{11}{66}[/tex] = [tex]\frac{1}{6}[/tex] → C
Answer pls…………………………..
Answer:
Option 3
Step-by-step explanation:
Brainliest please~
How do the perimeters of the triangles compare? Original: height-18, slant-30, length-24 Scaled: height-6, slant-10, length-8 A) the scaled triangles perimeter is 3x's larger than the original triangles perimeter. B) the scaled triangles perimeter is 6x's smaller than the original triangles perimeter C) the scaled triangles perimeter is 1/9 the size of the original triangles perimeter D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter
Answer:
D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter
Step-by-step explanation:
Given
Original:
[tex]Height = 18, Slant = 30, Length =24[/tex]
Scaled:
[tex]Height =6, Slant=10, Length=8[/tex]
Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:
[tex]Scaled = \frac{1}{3} * Original[/tex]
Hence, the perimeter is:
[tex]Perimeter (Scaled) = \frac{1}{3} * Perimeter (Original)[/tex]
What is the following product?
3/24 • 3/45
Answer:
6(³√5)
Step-by-step explanation:
³√24×45=6(³√5)
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space. He gives the remaning $50,000 to a charity. How much did he win?
Answer:
Step-by-step explanation:
Step 1
Find the fraction of the money he gave the charity
Let the total amount he had = 1
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.
Fraction of money he gave to charity =
1 - (4/5 + 3/4 + 2/3)
He gives the remaning $50,000 to a charity. How much did he win?
What is 300+3x40-25x4=?
Answer:
320
Step-by-step explanation:
300+3x40=120-25x4
300+120-25x4=100
320
Answer:
300+3x40-25x4 = 320
Step-by-step explanation:
300+3x40-25x4
= 300+ 120 - 100
= 420-100
= 320
PLZ HELP ANY GUESS WOULD HELP
Answer:
1st onne I believe I couldd be wrong but thats what I got
Step-by-step explanation:
Simplify the expression. x^5/x^9
Answer:
1/x^4
Step-by-step explanation:
the slope of the line that passes through the points in the table is:
Answer:
-2/7
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
m = (8-0)/(-14-14)
= 8/-28
= -2/7
Describe fully the transformation that maps shape a and b
Answer:
Rotate 90' clockwise Centre (-2, -2)
if you mean A onto B
A store marks up a $550 widescreen television by 30%. During a sale it is discounted by 20%. What is the percentage change in the original price of the television?
Answer:
4%Step-by-step explanation:
Marked Price = 130% of cp
= 1.3 x 550
= 715
Selling price = 80% of mp
= 0.8 x 715
= 572
% change in price =
[tex] \frac{572 - 550}{550} \times 100 = 4[/tex]
4%
(3a+b)³ please help me
Answer:
[tex]27a^{3} +27a^{2}b+9ab+b^{3}[/tex]
Step-by-step explanation:
[tex](3a+b)(3a+b) = 9a^{2}+6ab+b^{2}\\(9a^{2}+6ab+b^{2})(3a+b) = 27a^{3} + 27a^{2}b +9ab^{2} +b^{3}[/tex]
Answer:
Step-by-step explanation:
9a^3+18a^2b+9ab^2+b^2
Someone help me with this……
Answer:
its the second won
Step-by-step explanation: