Answer:
Option 3.
Step-by-step explanation:
Angle E and angle A are corresponding angles, therefore they are congruent angles. Corresponding angles have the same angle.
How much x% sugar syrup can you make if you have 100 grams of sugar?
Answer:
100/x/100
Step-by-step explanation:
Step-by-step explanation:
In a 10% sale a jumper costs £36. How much does it usually cost?
A. 40
B. 39.60
C. 32.40
D. 360
Answer:
A. 40
Step-by-step explanation:
CP= x, SP= £36, sale= 10%
SP= CP- 10%= CP*0.9
x*0.9= £36
x= £36/0.9= £40
determine which function has the greatest rate of change as x approaches infinity f(x)=4x+50, g(x)=3^x-4, h(x)=2x^2+9x-4, there is not enough information to determine the answer
Answer:
g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.
Step-by-step explanation:
for the following geometric sequence find the recursive formula. {1, -3, 9, ...}
Answer:
[tex]g_{n}=g_{n-1} *-3[/tex]
Step-by-step explanation:
A recursive formula is [tex]g_{n}=g_{n-1} *r[/tex]. N is the number of terms and r is the rate of change. R here equals -3 because you are multiplying by -3 eachtime. Therefore, the recursive formula is [tex]g_{n}=g_{n-1} *-3[/tex]
Write an explicit formula for An, the nth term of the sequence 20, 30, 40, ....
Answer: 50 60 70
Step-by-step explanation:
Find the 14th term of geometric sequence 5,-10,20,...
Answer:
-40960
Step-by-step explanation:
5,-10,20,..
first term= 5 and common ratio= -2
aₙ= a₁*rⁿ⁻¹
a₁₄= 5*(-2)¹³= -40960
(2x + 4)(3x + 8 ) neeedd help
Answer: 6x^2 +28x + 32
Step-by-step explanation: FOIL
First: 2x × 3x = 6x^2
Outside:2x × 8 = 16x, and Inside: 3x × 4 = 12x Combine those to get +28x
Last: 4 × 8 = 32
Put them together in order 6x² + 28x + 32
helppppppp pls I don't get itttt
Answer:
c: 5 x 3/5
Step-by-step explanation:
so the is 15 blocks shaded on the 25 grid
so i would work out each fraction answer and find which one makes 15/25
5 x 5/3 = 25/25
3/5 + 3/5 + 3/5 + 3/5 + 3/5 + 3/5 = 21/5
5 x 3/5 = 15/25
hope this helps :)
if the answer is wrong plz comment and i will fix thanks :)
Answer:
c) 5x3/5
Step-by-step explanation:
Look at one of the bars only. We see that 3 blocks out of 5 are colored in.
So that means the fraction is 3/5. But since there are 5 bars, we must multiply the fraction by 5.
Therefore, the answer is c) 5x3/5
hope this helped:)
P.S. If you like the answer, could you mark as brainliest plz?
La distancia de la tierra a Plutón es aproximadamente 5, 751, 800, 000 km. ¿Cuánto tarda en llegar una nave que viaja a 35,000 km/h?
Answer:
The time it takes for the ship to travel from Earth to Pluto is 164,337 hours.
Step-by-step explanation:
The question is:
The distance from Earth to Pluto is approximately 5,751,800,000 km. How long does it take for a ship traveling at 35,000 km / h?
Solution:
The formula to compute the time (t) it takes to travel a certain distance (d) at a certain speed (s) is:
[tex]t=\frac{d}{s}[/tex]
It is provided that:
d = 5,751,800,000 km
s = 35,000 km / h
Compute the time it takes for the ship to travel from Earth to Pluto as follows:
[tex]t=\frac{d}{s}[/tex]
[tex]=\frac{5751800000}{35000}\\\\=164337.14286\\\\\approx 164337[/tex]
Thus, the time it takes for the ship to travel from Earth to Pluto is 164337 hours.
A blue sqaure is placed inside a large yellow square The centres of the squares are aligned one over the other one side of the square is (3x + 2)cm and the other side is (8 - x)cm the area of the blue square is 36% the area of the yellow square. Find the dstance between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner
Answer:
the distance y between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner is 1.3cm
Step-by-step explanation:
From the information given;
A blue square is placed inside a large yellow square and the centres of the squares are aligned one over the other
So ; if one side of the square is (3x + 2)cm (i.e the blue side)
the other side is (8 - x)cm (i.e the yellow sides)
since the two shapes given are squares ; we can say that:
(3x+2)= (8 - x)
3x +x = 8 -2
4x = 6
x = 6/4
x = 1.5
Let replace x = 1.5 for the sides of the square and find the actual length of the square sides.
So, for the yellow side; we have:
= (8 - x)cm
= (8 - 1.5 ) cm
= 6.5 cm
We all know that the area of the square = l²
then the area of the yellow side = (6.5 cm )²
the area of the yellow side = 42.25 cm²
Let y be the distance between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner
Since the blue region is inside the yellow region; to calculate for the side of the blue region ; we have:
(6.5y -y+y) cm
(6.5 - 2y )cm
The area of the blue side =( (6.5 - 2y )cm)²
The area of the blue side = (6.5 - 2y )² cm²
However; we are also given that :
the area of the blue square is 36% the area of the yellow square.
Thus;
(6.5 - 2y )² = 36/100 × 42.25
(6.5 - 2y )² = 0.36 × 42.25
(6.5 - 2y )² = 15.21
(6.5 - 2y ) = [tex]\sqrt{15.21}[/tex]
(6.5 - 2y ) = 3.9
6.5 - 2y = 3.9
6.5 - 3.9 = 2y
2.6 = 2y
y = 2.6/2
y = 1.3 cm
Therefore , the distance y between the bottom right corner of the blue square and the right side of the yellow square directly next to the corner is 1.3cm
La suma de las edades de tres personas es 127años. La mayor tiene 30 años mas que la menor y la del intermedio 26 menos que la menor.¿ calcula la edad de la persona mayor'
Answer:
La mayor tiene 61 años.
Step-by-step explanation:
Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.
Tenemos las siguientes ecuaciones:
[tex]x+y+z=127[/tex] (la suma de las edades es 127)
[tex]x = z+30[/tex] (la mayor tiene 30 años más que la menor)
La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"
[tex]x-26 = y[/tex] (la del intermedio tiene 26 menos que la mayor).
La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos
[tex]x+(x-26)+(x-30) = 127[/tex]
Obtenemos la ecuación
[tex]3x-56 = 127[/tex]
Sumando 56 a ambos lados y dividiendo por 3, obtenemos
[tex] x = \frac{127+56}{3} = 61[/tex]
Es decir la mayor tiene 61 años.
11(4x+13)+12x-17 PLZ HELP WILL HAVE MORE QUESTIONS. ANSWER ASAP
Answer:
56x + 126
Step-by-step explanation:
Step 1: Distribute
44x + 143 + 12x - 18
Step 2: Combine like terms
56x + 126
[tex]\text{Simplify the expression}\\\\11(4x+13)+12x-17\\\\\text{Use the distributive property}\\\\44x+143+12x-17\\\\\text{Combine like terms}\\\\\boxed{56x+126}[/tex]
Part of the graph of the function f(x) = (x + 4)(x - 6) is
shown below.
Which statements about the function are true? Select two
options.
Ту
The vertex of the function is at (1,-25).
6
The vertex of the function is at (1,-24).
4
The graph is increasing only on the interval -4< x <6.
2
The graph is positive only on one interval, where x<-4.
The graph is negative on the entire interval
-4 < X < 6.
Answer:
Step-by-step explanation:
#1: True
#2: False
#3: False
#4: False
#5: True
I hope I've helped you.
The range of y=x2 is
What are the intercepts of the function?
The x-intercepts are
Consider the function f(x) = x2 + 12x + 11.
x-intercepts:
0= x2 + 12x + 11
0 = (x + 1)(x+ 11)
The y-intercept is
y-intercept
f(0) = (0)2 + 12(0) + 11
) Intro
Done
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² + 12x + 11 = 0 ← in standard form
(x + 1)(x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 11 = 0 ⇒ x = - 11
The x- intercepts are x = - 11 and x = - 1
To find the y- intercept let x = 0, that is
f(0) = 0² + 12(0) + 11 = 0 + 0 + 11 = 11
The y- intercept is 11
Evaluate piecewise functions
Answer:
The answer is 150.
Step-by-step explanation:
Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.
Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? ^ means squared A.) Perimeter = 46 cm, area = 131.25 cm^2 B.) Perimeter = 126 cm, area = 972 cm^2 C.) Perimeter = 46 cm, area = 972 cm^2 D.) Perimeter = 126 cm, area = 131.25 cm^2
Answer:
B.) Perimeter = 126 cm, area = 972 cm²
Step-by-step explanation:
==>Given:
Rectangle with the following dimensions:
L = 8 cm
W = 6 cm
==>Required:
Perimeter and area of the rectangle if enlarged using a scale factor of 4.5.
==>Solution:
The dimensions of the rectangle when enlarged by a scale factor of 4.5 would be:
L = 8 × 4.5 = 36cm
W = 6 × 4.5 = 27cm
=>Area = L × B
= 36 × 27
Area = 972 cm²
=>Perimeter = 2(L + W)
= 2(36 + 27)
= 2(63)
Perimeter = 126 cm
How many roots do u thinn
Answer:
2 roots1 rootStep-by-step explanation:
Each equation is in vertex form, so you can easily determine the number of real roots. The leading coefficient tells you whether the parabola opens upward (positive) or downward (negative).
y = a(x -h)^2 +k
has leading coefficient "a" and vertex (h, k).
__
f(x) = 1/3(x +5)^2 +7
vertex: (-5, 7), opens downward
The vertex is above the x-axis, so there are two real roots.
__
f(x) = -5(x -3)^2
vertex: (3, 0), opens downward
The vertex is on the x-axis, so there is one real root.
3/7 of which is 2 1/14
Step-by-step explanation:
the answer is 14
3/7 • 2 1/14
=14
Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Answer:
1,500,000
Step-by-step explanation:
Helpppp pleaseee
What is the solution to -2(8x – 4)< 2x + 5?
Ox>
Ox<
O x > 6
O x<6
Answer:
x> 1/6
Step-by-step explanation:
-2(8x – 4)< 2x + 5
Distribute
-16x +8 < 2x+5
Add 16x to each side
-16x +8+16x < 2x+16x+5
8 < 18x+5
Subtract 5 from each side
8-5 < 18x
3 < 18x
Divide each side by 18
3/18 < 18x/18
1/6 < x
Answer:
[tex]x > \frac{1}{6} [/tex]
First answer is correct.
Step-by-step explanation:
[tex] - 2(8 x - 4) < 2x + 5 \\ - 16x + 8 < 2x + 5 \\ - 16x - 2x < - 8 + 5 \\ - 18x < - 3 \\ \frac{ - 18x}{ - 18} < \frac{ - 3}{ - 18} \\ x > \frac{1}{6} [/tex]
please help thank you
Answer:
y=5x+15
Step-by-step explanation:
We get y=5x+15 since she charges a one time fee of $15 and $5 every hour.
Answer:
Answer D
Step-by-step explanation:
heklp me again please if you dont mind
Step-by-step explanation:
This is the answer of this question.
There is a jar of green and red marbles. If there are 21 marbles total and the ratio of green to red is 3:4, how many red marbles are there?
Answer:
12 red marbles
Step-by-step explanation:
You make an equation: 3x+4x=21
Then, you get 7x=21.
By using algebra, you get x=3.
Then you muliply 3 by 4 since the ratio of red marbles is 4.
So you get 12.
Answer:
There are 12 red marbles
Step-by-step explanation:
green : red : total
3 4 3+4=7
We want a total of 21
21 /7 =3
Multiply by 3
green : red : total
3*3 4*3 7*3
9 12 21
250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours
Answer:
h = 2.5
Step-by-step explanation:
250 + 200h = 300 + 180h
subtract 180 from both sides250 + 200h - 180 = 300 + 180h - 180
250 + 20h = 300
subtract 205 from both sides250 - 250 + 20h = 300 - 250
20h = 50
divide both sides by 2020h ÷ 20 = 50 ÷ 20
h = 2.5
A tent in the shape of a triangle prism is made using the following piece of fabric.
Find the surface area of the fabric. Explain your reasoning
Answer:
85.84 ft²
Step-by-step explanation:
The surface area of the fabric would be the total net area of the shape of the tent covered.
Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces
From the diagram given, the 3 rectangular faces have the same dimensions as follows:
L = 6ft
W = 4ft
Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²
The 2 triangular faces have the same dimensions as follows:
B = 4f
H = 3.46ft
Area of the 2 triangular faces = 2(½*B*H)
= 2(½*4*3.46)
= 2(2*3.46)
= 2(6.92)
= 13.84 ft²
Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²
Answer:
85.84
Step-by-step explanation:
Please help 100 points. i need to finish this like in 20 min Assignment: The Law of Large Numbers Investigation Mrs. Hudson has made another assignment that Karen and Dakota are excited to try. To conduct your own experiment, you will need dice and a place to record your results. In this assignment, you will first calculate the theoretical probability for rolling a sum of 7. Then, you will roll the dice and add the numbers shown, recording your results as you go. Calculate the experimental probability for rolling a 7 after the 1st, 10th, and 100th rolls. Compare these results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? 1. List out the sample space for the experiment and then calculate the theoretical probability. _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ 2. Roll the dice. Record your results in the table. Calculate the experimental probability for rolling a sum of 7 after the 1st, 10th, and 100th rolls. Experimental Probability after Roll #1: ___________________________ How does the experimental probability compare to the theoretical probability after 1 roll? _________________________________________________________ _________________________________________________________ Experimental Probability after Roll #10: __________________________ How does the experimental probability compare to the theoretical probability after 10 rolls? _________________________________________________________ _________________________________________________________ Experimental Probability after Roll #100: _________________________ How does the experimental probability compare to the theoretical probability after 100 rolls? _________________________________________________________ _________________________________________________________ Tally your results in the table. Sum Results 2 3 4 5 6 7 8 9 10 11 12 Analyze your findings. 3. Compare the results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? Use four of your vocabulary words in your explanation. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________
The experimental probability is what you actually rolled
24/60 = 2/5 = 40%
The theoretical probability is what we expect to happen
=number of even numbers / total number of numbers
3/6 = 1/2 = 50%
The cost of endless chicken wings and sauce at resturant X is $10. The cost of chicken wings at Resturant Z is $0.50 per wings plus a one-time $1.50 charge for sauce. The total cost, c, of n chicken wings can be represented by a system of equations.
Answer:
10=.50n+1.50
Step-by-step explanation:
The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50
c = total cost
n = number of chicken wings
Therefore,
The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.
The system of equation that represent the system is as follows:
c = 0.50n + 1.50
The one time fee for sauce is just like a constant in the equation.
learn more here: https://brainly.com/question/19316321?referrer=searchResults
WILL GIVE BRAINLIEST Which pairs of rectangles are similar polygons? Select each correct answer. 1)two rectangles. larger rectangle has left side labeled 1225 m and bottom labeled 144 m. the smaller rectangle has left side labeled 3.5 m and bottom side labeled 1.2 m. 2)two rectangles. larger rectangle has left side labeled 13 m and bottom labeled 5 m. the smaller rectangle has left side labeled 5.2 m and bottom side labeled 2.5 m. 3)two rectangles. larger rectangle has left side labeled 18 m and bottom labeled 6 m. the smaller rectangle has left side labeled 4.5 m and bottom side labeled 1.5 m. 4)two rectangles. larger rectangle has left side labeled 40 m and bottom labeled 15 m. the smaller rectangle has left side labeled 8 m and bottom side labeled 3 m.
Answer: Look at the picture :)
The pairs of rectangles that are similar polygons are those in;
1 and 4
For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.
In question 1;
Ratio of corresponding left sides = 1225/3.5 = 350
Ratio of corresponding bottom sides = 144/1.2 = 120
Ratios do not correspond and as such they are not similar polygons.
In question 2;
Ratio of corresponding left sides = 13/5.2 = 2.5
Ratio of corresponding bottom sides = 5/2.5 = 2
Ratios do not correspond and as such they are not similar polygons.
In question 3;
Ratio of corresponding left sides = 18/4.5 = 4
Ratio of corresponding bottom sides = 6/1.5 = 2l4
Ratios correspond and as such they are similar polygons.
In question 4;
Ratio of corresponding left sides = 40/8 = 5
Ratio of corresponding bottom sides = 15/3 = 5
Ratios correspond and as such they are similar polygons.
Read more at;https://brainly.com/question/20590854
a rectangle has an area of 40 sq units , then length is 6 units greater than the width
Answer:
A=L*W
Let w be width
L=(w+6)
40=(w+6)*w
40= w^{2} +6w
w^{2} +6w-40=0
w^{2}+10w-4w-40=0
w(w+10)-4(w+10)=0
(w-4)(w+10)=0
w=4
Length= 10 units
Width=4 units
Step-by-step explanation: