Answer:
Option CStep-by-step explanation:
Pattern P, the nth term formula:
Pₙ = 40 - 2nPattern Q, the nth term formula:
Qₙ = 40 - 8nThe difference is:
Pₙ - Qₙ = 40 - 2n - 40 + 8n ⇒ Pₙ - Qₙ = 6nIt shows the difference increase by 6 as the number of terms increase.
According the the difference of nth terms, the correct statement is:
Excluding the first term, a term in Pattern P is always 6 greater than its corresponding term in Pattern Q.Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.
Answer:
X = 29
Y = 8
Step-by-step explanation:
X - y = 21
X = 2y + 5
Substitute:
2y+5-y= 21
2y = 16
Y = 8
X-8 = 21
X = 29
What is the average weight of the kittens in the shelter?worth?10points
Answer:
I believe it’s 3/8 since it’s the highest and that’s the weight most kittens are in the graph.
Step-by-step explanation:
If you want you could wait for somebody else to respond since I could be wrong, but I still hope I was able to help :)
find the slope of a line parallel to given line.
Answer:
-3
Step-by-step explanation:
If lines are parallel to each other, they will never touch so the slope will be the same.
So if the first line is already given in slope intercept form, that means the -3 is the slope.
So a line parallel to this would have the slope -3 and start at a different place on the y axis.
Hi, it would be a load of help if someone could explain the working for this question.
Three bricklayers Maric, Hugh and Ethan are cladding a new home. If Maric were to work alone, the job would take him 8 days to complete. If Hugh were to work alone, the job would take him 6 days to complete, and if Ethan were to work by himself, the job would take him 12 days to complete.a If the three men work together, how long will it take them to complete the job
Step-by-step explanation:
the work will be finished in 26 daysplease mark the answer as the brainliest
✨PLEASE HELP ASAP!!!✨
What is the solution to the system of equations?
Answer:
x=4, y=-2
Step-by-step explanation:
Answer:
x = 4
y = - 2
Step-by-step explanation:
3x + 8y = - 4
2x - 4y = 16 Multiply the second equation by 2 and add it to the 1st
3x + 8y = - 4
4x - 8y = 32 Add
7x = 28 Divide by 7
7x/7 = 28/7
x = 4
2x - 4y = 16 Substitute 4 for x
2*4 - 4y = 16 Combine
8 - 4y = 16 Subtract 8 from both sides
-4y = 16 - 8
-4y = 8 Divide by -4
y = 8/-4
y = - 2
Given right triangle ABC, what is the value of tan(A)?
The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.
The value of angle tanA will be calculated as:-
tanA = P / B
tanA = 24 / 10
tanA = 12 / 5
Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.
To know more about Trigonometry follow
https://brainly.com/question/24349828
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Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians
Answer:
Answer is b
Step-by-step explanation:
just did it
There are 12 inches in 1 foot. This is equivalent to 60 inches in 5 feet. Which proportions can be used to represent this? Check all that apply.
Answer:
Step-by-step explanation:
12 inches 60 inches
---------------- is equivalent to ------------------
1 foot 5 feet
This can be seen if we multiply both numerator and denominator of the first ratio by 5 (each).
120 inches
------------------ is another equivalent fraction (or ratio).
10 feet
Answer:B and C
Step-by-step explanation:
12/1 = 60/5
1/12 = 5/60
The area of the base is 15cm. The height is 6 cm. What is the volume of the rectangular prism?
Answer:
you don't put the L value
What is the midpoint of the line segment graphed below?
A. (4,7/2)
B. (8,7/2)
c. (4,3/2)
D (8, 3/2)
Answer:
a) (4,7/2)
Step-by-step explanation:
Midpoint Formula:
[(-1+9)/2], [(2+5)/2]
(8/2, 7/2) = (4, 7/2)
What is the congruence correspondence, if any, that will prove the given triangles congruent?
Answer:
Step-by-step explanation:
In ΔFYG & ΔBUH
∠F = ∠B
FY = BU
YG = UH
ΔFYG ≅ ΔBUH { Angle Side Side congruent}
Rewrite y +2> +(6x –9) to isolate the y-term.
Rewrite y +2>2(6x-
Helppppp
Given:
The inequality is:
[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]
To find:
The inequality after isolating the y-term.
Solution:
We have,
[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]
On simplification, we get
[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]
[tex]y+2>2x+3[/tex]
Subtracting 2 from both sides of the above inequality, we get
[tex]y+2-2>2x+3-2[/tex]
[tex]y>2x+1[/tex]
Therefore, the required inequality is [tex]y>2x+1[/tex].
Find the measure of x and y
Answer:
y - 41°
x - ?
Step-by-step explanation:
use method of Z equation
Z 41° so y is 41° too
make sense
what's the answer for this question please thank you :)
Answer:
Arc AB = 110
Step-by-step explanation:
<C = 55 degrees. That's the way the triangle is marked. AB = BC.
The central angle is twice the angle made by the end points of line AB
The central angle = 2*55 = 110
The measure of arc AB equals the central angle which makes arc AB = 110
Find an equation of the circle whose diameter has endpoints (6,4) and (2,-6)
Answer:
[tex](x-4)^2+(y+1)^2=29[/tex]
Step-by-step explanation:
We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).
Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:
[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]
So, the center of our circle is (4, -1).
Next, to find the radius, we can find the length of the diameter and divide it by half.
Using the distance formula, find the length of the diameter:
[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]
So, the radius will be:
[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]
The equation for a circle is given by:
[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]
Substitute:
[tex](x-4)^2+(y+1)^2=29[/tex]
Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5%, and he left a 20% tip. If Mr. Rankin puts $120 on the table, how much change did he recieve?
Answer:
8.82
Step-by-step explanation:
subtotal- 88.24
total- 92.65
total with tip-111.18
change- 8.82
Of the 2 226 people on the ship, 703 survived and
1523 died.
What percentage of the passengers survived?
Answer:
32%
Step-by-step explanation:
703/2226=32%
A quarter back completes 23% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. What is the probability that the quarterback throws exactly 6 incomplete passes before he has a completion
Answer:
[tex]Pr = 0.0479[/tex]
Step-by-step explanation:
Given
[tex]p =23\%[/tex] --- proportion of completed passes
Required
The probability that he has 6 incomplete before he has 1 completion
Let:
[tex]q \to[/tex] proportion of back passes not completed
Using complement rule:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 23\%[/tex]
[tex]q = 1 - 0.23[/tex]
[tex]q = 0.77[/tex]
The event that he has 6 incomplete passes before he completed one is:
q q q q q q p
And the probability is:
[tex]Pr = q * q * q * q * q * q * p[/tex]
[tex]Pr = q^6* p[/tex]
[tex]Pr = 0.77^6* 0.23[/tex]
[tex]Pr = 0.0479[/tex]
What type of line is PQ? Please help!!
PQ is an angle bisector since it is splitting the angle RPS in half to RPQ and SPQ
PLZZ THIS IS DUE
Module 8: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Explain what a chord is and determine if a diameter is or is not a chord?
If X and Y varies inversely, what would the value of X be? (-9,4) (x,-12)
Answer:
Use papa math
Step-by-step explanation:
Use papa math
Use the Pythagorean theorem to classify the triangle
formed by the three fences. Which is true about the
numbers 5, 12, and 13?
Answer:
they are equal
Step-by-step explanation:
The triangle with sides 5, 12, 13 is a right triangle because
a^2+b^2 = c^2
5^2+12^2 = 13^2
25+144 = 169
169 = 169
I'm using the pythagorean theorem converse.
is my dad abusive? today he grabbed my ears so hard and they turned so red and he put his arms around my face. then he kicked me really hard to the point where I peed, he also pushed me a lot and started slapping me. he did more which I can't remember but he also smashed my phone :) this all happened within 20 minutes and I could barely breathe after that lol. this may not seem so much but it is. this is too personal ig lol and I started self-harming again bc of him yay.
Answer:
Step-by-step explanation:
OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!
Read what Sasha says. I am y years old. My mother's age is 3 times my age. My brother is 2 years younger than me. My father's age is 4 times my brother's age. The total of our four ages is 116 years.
a) Write an equation to show this.
b) Solve the equation.
c) How old is Sasha's father?
Answer:
please look at the picture l. it is solved there. hope this helps.. do mark me as brainliest
Answer:
a) y + 3y + (y - 2) + 4(y - 2) = 116
b) y = 14
c) 48
Step-by-step explanation:
Sasha says. I am y years old. y
mother's age is 3 times my age 3y
brother is 2 years younger than me y - 2
father's age is 4 times my brother's age 4(y - 2)
-------------------------------
total of our four ages is 116 years.
a) Write an equation to show this.
y + 3y + (y - 2) + 4(y - 2) = 116
b) Solve the equation.
distribute
y + 3y + y - 2 + 4y - 8 = 116
combine like terms
9y - 10 = 116
add 10 to both sides
9y = 126
Divide both sides by 9
y = 14
c) How old is Sasha's father?
4(y - 2)
4(14 - 2)
4(12)
48
I need to know the area in square centimeters of sector ABC?
Answer:
75π / 2
Step-by-step explanation:
a = (∅ / 2π) * πr²
a = (3π/4 / 2π) * π(100)
a = (3/8) * 100π
a = 300/8 * π
a = 75/2 * π
a = 75π / 2
A city has a population of 340,000 people. Suppose that each year the population grows by 5.25%. What will the population be after 15 years?
Answer:
Future population = 720800
Step-by-step explanation:
Below is the calculation of population after 15 years.
Given the present population = 340000
Growth in population = 5.25%
Use below formula to find the values:
Future population = Present population ( 1 + r)^n
Future population = 340000 ( 1 + 5.25%)^15
Future population = 340000 (2.15)
Future population = 720800
pls help me solve this please show how you got the answer
Answer:
19 Black Buttons
Step-by-step explanation:
1/4 of 40= 10
1/5 of 40= 8
10+8=18
18+4=21
So there are 21 white grey and orange.
The rest are black so 40-21=19
So 19 black buttons
Hope this helps
Step-by-step explanation:
40 button
1/4×40=10 white
1/5×40=8 grey
4 orange
Total=22
Then,subtract
40-22
=18 black buttons
in ΔABC, ∠ABC is a right angle, AB = 3 units, and BC = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the center of dilation, resulting in the image ΔA′B′C′. Which statement about A′B′ is true?
Answer:
the first one i think
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
The drama club is selling tickets to their annual talent show. They sold adult tickets (a) for $12.50 each and student tickets (s) for $6. They sold a total of 30 tickets and made $264.50.
Which system of equations best represents the situation above?
Answer:
12.5a + 6s = 264.5 and a + s = 30
Step-by-step explanation:
They also intersect at (17, 13)
(17 student tickets, 13 adult tickets)
Good Luck!
Geometry geometry help
Answer:
b = 7.14cm
Step-by-step explanation:
For this question, we need to use the pythagorean theorem, since it is a right triangle, and we know two sides. The formula for the Pythagorean theorem is c^2 = a^2 + b^2.
1. a = 5.8cm so a^2 will be 5.8 x 5.8 which is 33.64
2. c = 9.2cm so c^2 will be 9.2 x 9.2 which is 84.64
3. If we add these to our Pythagorean equation, it will be 84.64 = 33.64 + b^2. --> 51 = b^2 --> b = 7.141428....
4. Since we need to round it to two decimal places, b will be 7.14.
