Answer:
The common ratio of a geometric series is \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170
The first term is 128
Step-by-step explanation:
The common ratio of the geometric series is given as:
[tex]r = \frac{1}{4}[/tex]
The sum of the first 4 term is 170.
The sum of first n terms of a geometric sequence is given b;
[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]
common ratio, n=4 and equate to 170.
[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]
[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4} \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2} \\\\\frac{1}{256} a_1 = \frac{1}{2} \\\\ a_1 = \frac{1}{2} \times 256\\\\a_1 = \frac{1}{2} \times 256 \\\\= 128[/tex]
Answer:
The first term is 128
Find the surface area of the cylinder. Round to the nearest hundredth.
Answer:
The surface area of the cylinder is 276.32m²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 2m
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (2m)²
a = 3.14 * 4m²
a = 12.56m²
The area of the circle is 12.56m²
To calculate the lateral area of the cylinder we use the following formula
a = area =
h = heighti = 20m
r = radius = 2m
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 2m * 20m
a = 6.28 * 40m²
a = 251.2m²
The lateral area of the cylinder is 251.2m²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
251.2m² + (2 * 12.56m²) = 276.32m²
The surface area of the cylinder is 276.32m²
3 2/5 + 4 2/5 = Answer : __________________________
Answer:
7 and 4/5
Step-by-step explanation:
Description:
The correct answer for this question is 7.8 because since this is just a plus question just add the numbers together.
1: 32/5
2: + 42/5
3: = 7.8
Answer: 7.8
Please mark brainliest
Hope this helps.
Does anyone know this ??
Answer:
A
Step-by-step explanation:
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{\sqrt{34} }[/tex]
Rationalise the denominator by multiplying numerator/ denominator by [tex]\sqrt{34}[/tex]
sin x = [tex]\frac{3}{\sqrt{34} }[/tex] × [tex]\frac{\sqrt{34} }{\sqrt{34} }[/tex] = [tex]\frac{3\sqrt{34} }{34}[/tex] → A
A square tile measures 20cm by 20cm. A rectangular tile is 3cm long and 2cm narrower than the square tile what is the difference in area between the two tiles
Answer:
346 cm²
Step-by-step explanation:
Area of square:
Area = [tex]Length*Length[/tex]
A = 20*20
A = 400 cm²
Area of rectangle:
Length = 3 cm
Width = 20-2 = 18 cm
Now, The Area:
Area = [tex]Length * Width[/tex]
Area = 3 * 18
Area = 54 cm²
Now, The difference in their areas:
=> 400-54
=> 346 cm²
Answer:
hiya 13 more points
Step-by-step explanation:
which function is graphed?
Answer:
A I did the same quiz it’s A
Step-by-step explanation:
The correct option is "option A".
A function is graphed in the given figure.
We have to tell that which option is correct related to the graph.
What is a function ?
The function is the description of how the inputs relate to the output. Each input has only one output.
According to the figure / graph ;
When x < 3
Then , y = [tex]x^{2}[/tex] + 6
Also , at , x = 3
We get an open interval.
So, we can say that ;
y = [tex]x^{2}[/tex] + 6 is valid for x < 3 not at x =3
Also , y = -x + 6 is valid for x ≥ 3 , here we get a close interval.
Thus , the correct option will be "option A" i.e.,
y = { x² + 6 , x < 3
and
y = { -x + 6 , x ≥ 3
To learn more about functions click here ;
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What is the area of this figure? Use 3.14 for pi.
A. 4.5 mm2
B. 9 mm2
C. 11.56 mm2
D. 18.61 mm2
Answer:
Step-by-step explanation:
area of triangle = 1/2 * base * height = 1/2 * 9 = 9/2
area of semicircle = 22/7 * {3 root 2 / 2}^2 = 22/7 *18 / 4 = 22/7 *9/2 = 198/14=99/7
area of figure = 99/7 + 9 /2 =18.6mm2
mark me as the brainliest
Answer:
area of figure= area of semi circle + area of triangle
area of semi circle= 1/2πr²
1/2×3.14×2.12×2.12
1/2×14.11
= 7.06
area of triangle = 1/2×base×height
but I am going to use the Pythagoras theorem to find the its height
= hypotenus² = base²+height²
3²=2.12²+h²
9=4.5+h²
9-4.5=h²
√4.5=√h²
h= 2.12
so area of triangle= 1/2×4.24×2.12
=4.5
area of figure = 70.6+4.5
= 75.1mm²
hope it helps even if its not correct just wanted to try
Simplify, using the distributive property and then combining like terms.
5(3a+b)−2(3a+b)
The answer is 9a+3b
please see the attached picture for full solution
Hope it helps...
Good luck on your assignment...
Answer:
3(3a+b)
Step-by-step explanation:
use the distributive property:
15a+5b-6a-2b
combine like terms:
9a+3b:
if you need you can factor:
3(3a+b)
Please answer CORRECTLY !!!!!!!! Will mark BRAINLIEST !!!!!!!!!
Answer:
-24
Step-by-step explanation:
First find f(3), which is the value of the blue line when x =3
f(3) = -2
Then find g(-1) which is the value of the red line when x= -1
g(-1) = 6
-6 f(3) - 6*g(-1)
-6*-2 - 6(6)
12 - 36
-24
O proprietário de uma lanchonete descobriu que na produção do hambúrguer comum gasta R$ 1,25 de material em cada unidade, além disso, tem um gasto fixo de R$ 97,00 por conta de gás e outros materiais. Qual a função que representa o custo (C) total na produção dos hambúrgueres em função da quantidade produzida (x)
Answer:
C(x) = 97 + 1,25x
Step-by-step explanation:
A função (C) que representa o custo total em função do número de hambúrgueres produzidos (x) contém duas partes: uma constante referente ao custo fixo de R$ 97,00, e uma variável referente ao custo de R$ 1,25 por hambúrguer para "x" hambúrgueres. A função C(x) é:
[tex]C(x) = 97 + 1,25x[/tex]
What is the slope of the line that passes through (2, 1), (0, 0)?
The answer is 1/2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Mr. Andrews must spend less than $75 on lunches during the pay period. He has already spent $30 on lunches. Each meal at the work cafeteria costs $9. How many additional meals can Mr. Andrews buy at the work cafeteria this pay period? Select the inequality that includes the maximum number of additional meals Mr. Andrews can buy at the work cafeteria this pay period while still staying within his budget. A. x < 9 B. x < 45 C. x < 30 D. x < 5 Reset Next Question
Answer:
x<5
Step-by-step explanation:
because he already spend 30$ so the remain will be 45$
by dividing it to 9$ he will buy another 5 meal
Please tell me the answer for
Factorise 15p square - 7q square
Answer:
I do not think you can simplify it any further
Step-by-step explanation:
If you mean 15p squared - 7 q squared
Because they have different variables; p and q cannot be combined unless it is multiplication or division.
Someone help me please.
Answer:
No solution.
Step-by-step explanation:
Two same things can't equal different things.
A school chair has 36 members. This year, there are three times as many returning members as new members. How many
new members are in the choit this year?
12 new members
24 new members
27 new members
Will make as the brainliest
you are using a taxi cab company that charges a flat fee of $5.00 and an additional $0.50 per mile. Let x represent the number of miles you drive in the taxi and y represent the amount you paid for the ride. Write an equation that can be used to find the amount of money you pay for the taxi ride.
a- standard form
b-slope intercept form
Answer:
In standard form: x - 2y = -10
In slope intercept form: y = (1/2)x + 5
Step-by-step explanation:
y = total cost
y = flat cost + mileage cost
The flat cost is $5, so you get
y = 5 + mileage cost
The mileage cost depends on the number of miles, x.
1 mile costs $0.50
2 miles cost $0.50 * 2
3 miles cost $0.50 * 3
x miles cost $0.50 * x, or simply 0.5x
Now we add the mileage cost to our expression.
y = 5 + 0.5x
y = 0.5x + 5
In standard form:
0.5x - y = -5
x - 2y = -10
In slope intercept form:
y = (1/2)x + 5
pls help it’s due at 9am and i need the work too
Answer for 1. 72
Answer for 2.536
Answer for 3.195
99 pencils cost \$7.74$7.74dollar sign, 7, point, 74. Which equation would help determine the cost of 666 pencils? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{6}{x} = \dfrac{9}{\$7.74} x 6 = $7.74 9 start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction (Choice B) B \dfrac{x}{6} = \dfrac{9}{\$7.74} 6 x = $7.74 9 start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction (Choice C, Checked) C \dfrac{9}{6} = \dfrac{x}{\$7.74} 6 9 = $7.74 x start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction (Choice D) D \dfrac{6}{x} = \dfrac{\$7.74}{9} x 6 = 9 $7.74 start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction (Choice E) E None of the above
Answer:
[tex]\large \boxed{\text{A) } \dfrac{6}{x} = \dfrac{9}{\$7.74}}[/tex]
Step-by-step explanation:
9 pencils cost $7.74
6 pencils cost x
The ratios are
[tex]\dfrac{9}{6} = \dfrac{\$7.74}{x}[/tex]
According to the alternendo property,
[tex]\dfrac{9}{6} = \dfrac{\$7.74}{x} \Rightarrow \dfrac{9}{\$7.74} = \dfrac{6}{x}\\\\\text{The correct answer is $\large \boxed{\mathbf{ \dfrac{6}{x} = \dfrac{9}{\$7.74}}}$}[/tex]
Answer:
correct
Step-by-step explanation:
In a survey, 125 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 2.
The experimental probability is [tex]\frac{10}{15+10+40+20+40}=8\%,[/tex] while the theoretical probability, assuming random selection, is [tex]\frac{1}{5}=20\%,[/tex] so the theoretical probability is greater than the experimental probability.
Which statements are true of functions? Check all that apply.
All functions have a dependent variable.
All functions have an independent variable.
The range of a function includes its domain.
A vertical line is an example of a functional relationship.
A horizontal line is an example of a functional relationship.
Each output value of a function can correspond to only one input value.
Intro
Answer and Step-by-step explanation:
To get this answer you need to understand what a function is, a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. If this is false, this is NOT a function. So, knowing that, the correct answers are, All functions have a dependent variable, All functions have an independent variable, and A horizontal line is an example of a functional relationship. So this 1st, 2nd, and 5th options.
Hope this helped you out! Have a wonderful day!
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster average rate?
If g(x) = 2(x − 4), find the value of x if g(x) = 20. (2 points) a 32 b 12 c 14 d 10
Answer:
14
Step-by-step explanation:
Make the two function equal to eachother and then, bring -8 to the right which will be added with 20 to get 28. Now you left with 2x on the left side, divide both sides by 2 to solve for (x). Thus x= 14.
Answer:
c. 14
Step-by-step explanation:
In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.
Answer:
Step-by-step explanation:
An isosceles triangle has two equal sides and two equal base angles.
Given that : AK = KC and MN∥ AC
ΔMNB is similar to ΔACB (congruence property)
ΔANB = ΔANC (SAS congruence property)
ΔCMB = ΔCMA (SAS congruence property)
[tex]\frac{AB}{BN}[/tex] = [tex]\frac{AC}{CN}[/tex] (Angle bisector theorem)
So that:
<BAC = <ACB (base angle property of an isosceles triangle)
/AB/ = /BC/ (side property of an isosceles triangle)
Therefore, ΔABC is an isosceles triangle.
H. 539.28 - 6.42
Help pls
Answer:
532.86
Step-by-step explanation:
just subtract starting with the numbers after the decimal place
A jewelry store received 16 inches long, 10 inches wide, 12 inches high. The package contains 1-inch cube that each hold one ring. How many rings did the jewelry store receive? Explain how you found your answer.
Answer:
1920 rings
Step-by-step explanation:
We need to simply find the volume of the package and the volume of the cube and then divide the volume of the package by the volume of the cube.
The package is a rectangular prism. The volume of a rectangular prism is:
V = L * W * H
where L = length
W = width
H = height
The volume of the package is:
16 * 10 * 12 = 1920 [tex]in^3[/tex]
The volume of a cube is:
V = L^3
where L = length of side
The volume of the cube is:
V= 1^3 = 1 [tex]in^3[/tex]
The number of rings the jewelry store received is:
1920 / 1 = 1920 rings
Algebra help please!
Answer:
Yes
Step-by-step explanation:
10(49-49)
---------------
2(7)(7^2-16)(7+3)
0
---------
4620
answer is 0
What’s 6 times 6 divided by 2 plus 2
Answer: 20
Step-by-step explanation:
I can’t get this one
Answer:
36/40
Step-by-step explanation:
Hope you understand this
HAVE A GOOD DAY!
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6,10)
Answer:
Option (1). (6, 0)
Step-by-step explanation:
The given question is incomplete; here is the complete question.
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?
(6, 0)
(0, 6)
(−5, 0)
(0, −5)
Line in orange color is passing through two points (-8, 6) and (4, -4)
Slope of this line = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{6+4}{-8-4}[/tex]
= [tex]-\frac{10}{12}[/tex]
= [tex]-\frac{5}{6}[/tex]
Other line parallel to this line will have the same slope 'm' = [tex]-\frac{5}{6}[/tex]
Parallel line passes through a point (-6, 10).
Let the other point through which the parallel line passes is (a, b)
Now, [tex]-\frac{5}{6}[/tex] = [tex]\frac{10-b}{-6-a}[/tex]
-5(-a - 6) = 6(10 - b)
5a + 30 = 60 - 6b
5a = -6b + 60 - 30
5a = -6b + 30
a = [tex]-\frac{6}{5}b+6[/tex]
By satisfying with all the options we find only (6, 0) satisfy this equation.
6 = [tex]-\frac{6}{5}(0)+6[/tex]
6 = 6
Therefore, (6, 0) is the other point lying on the parallel line.
Option (1) will be the answer.
Answer:
Step-by-step explanation:
The answer was (6,0) I just got it right on my assignment
Not really sure how to do this
Answer:
Step-by-step explanation:
[tex]\begin{bmatrix}6x=3y-7\\ 9y-18x-9=0\end{bmatrix}\\\mathrm{Isolate}\:x\:\mathrm{for}\:6x=3y-7:\quad x=\frac{3y-7}{6}\\6x=3y-7\\\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{3y}{6}-\frac{7}{6}\\Simplify\\x=\frac{3y-7}{6}\\\mathrm{Subsititute\:}x=\frac{3y-7}{6}\\\begin{bmatrix}9y-18\cdot \frac{3y-7}{6}-9=0\end{bmatrix}\\\mathrm{Refine\:}9y-18\frac{3y-7}{6}-9=0\\12=0\\12=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\\No\:Solution[/tex]
I hope this is what you wanted
Mrs. Sara has $18 deducted yearly from her checking account for her gym membership. What integer represents the change in her account for a year of gym membership?
1.$18
2.$36
3.$180
4.$216
Answer:
The correct amount is $18
Step-by-step explanation:
The change in her checking account here refers to a reduction in balance due to a deduction made for a gym membership of $18 per year.
Integer, as we know, is a whole number, not a fraction.
In all fairness, the integer will indicate the change in her checking account due to her gym membership payment is $18, the first option out of the multiple choices provided
