What is the 12th term of the geometric sequence if a1= 30 and r=4.
Answer:
a₁₂ = 30·4¹¹ = 15·2²³Step-by-step explanation:
[tex]a_n=a_1\cdot r^{n-1}\\\\a_{12}=30\cdot 4^{12-1}\\\\a_{12}=30\cdot 4^{11}=15\cdot2\cdot2^{22}=15\cdot2^{23}[/tex]
Fern has 2 1/4 gallons of paint. Each gallon of paint will cover 375.5 ft2. How many square feet will fern be able to cover if she uses all the paint?
What is the rang of the relation?
A: {-3, 3}
B: {-3, -2, 0, 3}
C: {-4, -3, -2, 0, 2, 3}
D: {-4, -2, 2, 3}
Answer:
B.
Step-by-step explanation:
{-3, -2, 0, 3} - the set of y-values.
What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
y= -2/3x - 2
v= 2/3x - 2
Answer:
A. 2x + 3y = -6
Step-by-step explanation:
[tex](-3,0) (0,-2)[/tex]
[tex]slope:\frac{-2-0}{0+3} =\frac{-2}{3}[/tex]
[tex]y-0=\frac{-2}{3} (x+3)[/tex]
[tex]3y=-2x-6[/tex]
[tex]3y+2x+6=0[/tex]
[tex]2x+3y=-6[/tex]
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hope it helps...
have a great day!!
A photo of an ant in a science book is increased to 655% as large as the actual size. If the ant is 14 millimeters, what is the size of the ant in the photo?
Answer: [tex]91.7\ mm[/tex]
Step-by-step explanation:
Given
The size of the ant is enlarged by [tex]655\%[/tex]
The actual size of the ant is [tex]14\ mm[/tex]
Enlarged size is
[tex]\Rightarrow 14\times \dfrac{655}{100}\\\\\Rightarrow 91.7\ mm[/tex]
Help me pleasee I’m not sure I’m doing theses correctly ?
9514 1404 393
Answer:
(d) ∠AIS
Step-by-step explanation:
The tangent SF intersects the circle at one point, point I. Any angle it forms with a chord must be a chord that terminates at point I. There are two of them: AI and CI.
The angles these chords make with tangent SF are ...
∠AIS∠AIF∠CIS∠CIFOf these, only the first (∠AIS) is listed among the answer choices.
What is the rectangular form of r = −2 sin(θ)?
Answer:
D.) x2 + (y + 1)2 = 1
Step-by-step explanation:
No explanation needed just need to say something here.
Answer:
x2 + (y + 1)2 = 1
Step-by-step explanation:
hi someone help with these two questions. Thanks
Answer:
1). Option (d)
2). Options (a), (b) and (d)
Step-by-step explanation:
Question 1
a). [tex]3x^5-6x^3+9x-12x^{-1}[/tex]
Any expression with negative exponent is not a polynomial.
b). [tex]4\sqrt{x}+5[/tex]
Any expression having variable with square root is not a polynomial.
c). [tex]\frac{4x+5}{3x-1}[/tex]
Any expression having variables in the form of a fraction is not a polynomial.
d). [tex]-\frac{3}{2}x^{12}-7x^5+\frac{2}{3}x-10[/tex]
It's a polynomial.
e). [tex]-5x^{\frac{3}{2}}-7x^2+6[/tex]
Expressions having variables with square root are not the polynomial.
Therefore, Option (d) is a polynomial.
Question 2.
P(x) = (2x + 1)(5x³ - 8x + 4)
= 2x(5x³ - 8x + 4) + 1(5x³ - 8x + 4)
= 10x⁴ - 16x² + 8x + 5x³ - 8x + 4
= 10x⁴ - 5x³ - 16x²+ 4
a). Degree of polynomial = 4
True
b). P(0) = 10(0) - 5(0) - 16(0) + 4
= 4
True
c). P(-1) = 10(-1)⁴ - 5(-1)³ - 16(-1)² + 4
= 10 + 5 - 16 + 4
= 3
False
d). Coefficient of x₂ is -16.
True
e). Coefficient of x is -16
False
Therefore, Options (a), (b) and (d) are correct.
What are the coordinates of the point (-8,5) if it is reflected across the x-axis?
a. (8,5)
b. (8, -5)
c. (-8,5)
D. (-8,-5)
I’ll mark branliest
Answer:
D:(-8,-5)
Step-by-step explanation:
It is already negative and if plotted the coordinates then reflected, it will give this answer
hiroshi earns $6.50 an hour. He wants to buy a cd player that costs $117. Write an equation and find how many hours hiroshi will have to work to buy the cd player.
Algebra 2 will give points and brainly
Answer:
Step-by-step explanation:
In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.
PLEASE HELP ITS A FINALE IF YOUR WRITE I GIVE YOU BRAINLIEST
Answer:
Answer is B.
Step-by-step explanation:
-2x (4x+5)
-8x^2 - 10x
Hippoty Hoppity, distributive property.
Multiply -2x by 4x, both have X's, so you combine them to get x^2 (X squared).
Hope this helped. Good luck on your finals.
Which quadrilateral makes this statement true?
Quadrilateral ABCD
В
46
26
26
A (98
98)
118
11.7 11.7
D
Quadrilateral ABCD
Answer:i have no idea
Step-by-step explanation:
Does n e one get t?
What is the median. Also i have two more questions that have median.
Answer: 61
Step-by-step explanation:
Answer:
61
Step-by-step explanation:
Work your way from the outside and you'll get 61
Negative ten is no less than two times a number plus fourteen.
Answer:
i this like true or false,if so its true
:)
Step-by-step explanation:
I need help,
If u know, help me please!!
Answer:
360ft³
Step-by-step explanation:
To get the volume for a pyramid just multiply length, width, and height then divide by three.
Answer:
[tex] 360 \: {ft}^{3} [/tex]
Step-by-step explanation:
[tex]V_{pyramid} = \frac{lwh}{3} \\ \\ = \frac{12 \times 6 \times 15}{3} \\ \\ = 360 \: {ft}^{3} [/tex]
What is the value of x?
Answer:
The answer is 25.1 or just 25 which ever way they are asking for it
Step-by-step explanation:
Hope that helps
FYI you just need to use the Pythagorean theorem to solve this
A^2 + B^2 = C^2
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.
Edit: Nvm I got it:)
Answer:
Step-by-step explanation:
Question
Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.
perimeter of a triangle = AB+AC+BC
Using the distance formula
AB = sqrt(-2-5)²+(2-2)²
AB = sqrt(-7)²
AB =sqrt(49)
AB =7
BC = sqrt(-2+2)²+(2-5)²
BC = sqrt(0+3²)
BC =sqrt(9)
BC =3
AC= sqrt(-2-5)²+(2-5)²
AC= sqrt(-7)²+3²
AC =sqrt(49+9)
AC =sqrt58
Perimeter = 10+sqrt58
Rose is 5 years older than Milton. Rose's age is 10 years less than four times Milton's age. The system below models the relationship between Rose's age (r) and Milton's age (m):
r = m + 5
r = 4m – 10
Which is the correct method to find Rose's and Milton's ages?
Part A: The average rate of change between the 2nd and 3rd point is Select a Value Part A: The average rate of change between the 3rd and 4th point is Select a Value Part B: The average rate of change between the 2nd and 3rd point is Select a Value Part B: The average rate of change between the 4th and 5th point is Select a Value
Answer:
[tex]Rate = 6[/tex]
[tex]Rate = 10[/tex]
[tex]Rate = 18[/tex]
[tex]Rate = 162[/tex]
Step-by-step explanation:
Given
See attachment for table
Solving (a): Rate of change between 2nd and 3rd point on A
The rate of change is calculated as:
[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In table A, the 2nd and 3rd point is:
[tex](x_1,y_1) =(1,7)[/tex]
[tex](x_2,y_2) =(2,13)[/tex]
So, the average rate of change is:
[tex]Rate = \frac{13 - 7}{2 - 1}[/tex]
[tex]Rate = \frac{6}{1}[/tex]
[tex]Rate = 6[/tex]
Solving (b): Rate of change between 3rd and 4th point on A
In table A, the 3rd and 4th point is:
[tex](x_1,y_1) =(2,13)[/tex]
[tex](x_2,y_2) =(3,23)[/tex]
So, the average rate of change is:
[tex]Rate = \frac{23 - 13}{3 - 2}[/tex]
[tex]Rate = \frac{10}{1}[/tex]
[tex]Rate = 10[/tex]
Solving (c): Rate of change between 2nd and 3rd point on B
In table B, the 2nd and 3rd point is:
[tex](x_1,y_1) =(2,11)[/tex]
[tex](x_2,y_2) =(3,29)[/tex]
So, the average rate of change is:
[tex]Rate = \frac{29 - 11}{3 - 2}[/tex]
[tex]Rate = \frac{18}{1}[/tex]
[tex]Rate = 18[/tex]
Solving (d): Rate of change between 4th and 5th point on B
In table B, the 4th and 5th point is:
[tex](x_1,y_1) =(4,83)[/tex]
[tex](x_2,y_2) =(5,245)[/tex]
So, the average rate of change is:
[tex]Rate = \frac{245 - 83}{5 - 4}[/tex]
[tex]Rate = \frac{162}{1}[/tex]
[tex]Rate = 162[/tex]
The Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 4 miles east and 5 miles north of the city's center. Truth Park is 4 miles west and 2 miles south of the city's center. How far is it from Truth Park to the mall to the nearest tenth of a mile? A-10.6 B-4.5 C-3 D-6.4
Answer:
10.9 miles
Step-by-step explanation:
distance of the park to the mall = distance of the mall from the city centre + distance of the park from the city centre
this question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypothenuse
distance of the mall from the city centre = 5² + 4²
25 + 16 = 41
√41 = 6.403124 miles
distance of the park from the city centre = 4² + 2²
16 + 4 = 20
√20 = 4.472136 miles
Total distance = 6.403124 miles + 4.472136 miles = 10.875260
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth is 7. it is greater than 5. So, 1 is added to the tenth term. this gives 10.9 miles
Please check the attached images for a better understanding of how the question was solved.
ayo help pls can u help me:)
Answer:
A: 0.103
Step-by-step explanation:
Answer:
0.103 liters of juice
Step-by-step explanation:
Subtraction
1.09-0.987=
0.103
What is the percent of change from 56 t0 22
idea 34 I did 56-22 0.0
Answer:
I think it is -60.71428571 percent.
1. Whats the exact value of Y?
2. Whats the exact value of X?
Answer:
Hello! The answer is in this link.
Step-by-step explanation:
8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!
6. Select the expression that is equivalent to 24 + 64x
. A 8(3 + 8x)
B (8.3) + (8.x)
C 4(6 + 8x)
D 4(6 + x)
Answer:
A
Step-by-step explanation:
A. 8(3+8x)
8 times 3 is 24. 8 times 8 is 64 making it 24+64x
Paula is planning a dinner dance. She wants to keep the ticket price as low as possible.
Band A: charges $600 to play for the evening
Band B: Charges $350 plus $1.25 per student
After how many students would it be better to hire Band A?
Answer:
After 200 students, it would better to hire Band A
Step-by-step explanation:
350+ 1.25x = 600
1.25x = 250
x = 200
at 200 students the cost is the same for Band A and Band B
at 201 students Band A will be cheaper then Band B
first part to last question
Answer:
For question 4 you would have 1560000. For question 5 you would have 660000
Step-by-step explanation:
Please help me!
10.6 cm
13.5cm
Area=?
2xyz - 3xy2z - 5x3z
help me please
Answer:
2xyz - 3x[tex]y^{2}[/tex]z-5[tex]x^{3}[/tex]z
Step-by-step explanation:
pls solve this fast pls help me fast