Answer:
see below
Step-by-step explanation:
3, 12, 48, 192
We are multiplying by 4 each time (12/3 =4)
The 5th term
192 *4 =768
The 6th term
768 *4 =3072
The th term
3072 *4 =12288
To find the common ratio, take the second term and divide by the first
2/4 = 1/2
The common ratio is 1/2
Problem 1
Answer: 12288---------------------------
Explanation:
The first term is a = 3 and the common ratio or multiplier is r = 4. We start with 3 and multiply each term by 4 to get the next one. The nth term of this geometric sequence is
a(n) = a*(r)^(n-1)
a(n) = 3*(4)^(n-1)
Plug in n = 7 to get the seventh term
a(7) = 3*(4)^(7-1)
a(7) = 3*(4)^6
a(7) = 3*4096
a(7) = 12288
====================================================
Problem 2
Answer: 1/2 or 0.5----------------------
Explanation:
To find the common ratio, we pick any term but the first one and divide it over its previous term
r = common ratio
r = (second term)/(first term) = 2/4 = 1/2 = 0.5
r = (third term)/(second term) = 1/2 = 0.5
r = (fourth term)/(third term) = 0.5/1 = 0.5
Each term is cut in half to get the next one.
Which expression has the same value as 4x – 3y?
O 3y - 4x
0 -3y - 40
Submit Answer
4x + 3y)
0-4x + (-3y)
POP Teleco
o
Answer:
4x+(-3y)
Step-by-step explanation:
[tex]\\ \rm\longmapsto 4x+(-3y)[/tex]
(-)(-)=(+)(+)(-)=(-)(-)(+)=(-)(+)(+)=(+)[tex]\\ \rm\longmapsto 4x-3y[/tex]
For how many positive integer values of N is the expression 36/N + 2 an integer?
Answer:
Step-by-step explanation:
36=2×2×3×3
factors of 36 are 2,3,4,6,9,12,18,36
when N+2=2,N=0 (0 is neither positive nor negative.)
N+2=3,N=3-2=1
N+2=4,N=4-2=2
N+2=6,N+6-2=4
N+2=9,N=9-2=7
N+2=12
N=12-2=10
N+2=18,N=18-2=16
N+2=36,N=36-2=34
so for 7 positive integer values of N,36/(N+2)is a positive integer.
Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer
The total number of positive integers needed will be equivalent to all the factors of 36 as shown;The factors of 36 are 1, 2, 3, 6, 9, 12, 18, 36. Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integerLearn more on factors here: https://brainly.com/question/25829061
I REALLY NEED HELP ASAP WITH THESE 2 QUESTIONS!!!!!!!!!
Answer:
4. Meena- 3
Jerry- 6
5a. 5
5b. 6
Step-by-step explanation:
We can use the distance formula to solve all of these.
[tex]\sqrt{(x_{2} } -x_{1} )^2+(y_{2} -y_{1} )^2[/tex]
Plug the numbers in and make sure you understand how i got these answers :) Let me know if you see anything wrong about it, and i will try and fix it.
what is x+2/-1 = 3? i need to know
Answer:
x=-5
Step-by-step explanation:
-5+2=(-3)
-3*(-1)= 3
Answer:
x=-5
Step-by-step explanation:
(x+2)/-1 = 3
Multiply each side by -1
(x+2)/-1 * -1 = 3*-1
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
a cake recipe calls for 4 1/2 cups of sugar. a caterer has 50 1/2 cups of sugar on hand. how many cakes can he make?
Answer:
11 cakes. he can make 11 cakes
Answer:
11
Step-by-step explanation:
You have to do 4 x the amount you know you can such as 10.
Then you have to multiply the 1/2 by that same number
So we'd get 4x10=40 and 1/2x10=5 to get 45
Then we add 45+4 1/2 = 49 1/2
They can make 11 cakes
FOR EASY BRAINLIEST ANSWER THESE QUESTIONS:
1.
2.
3.
4.
5.
Step-by-step explanation:
all answers and steps are in picture
Which statement illustrates the distributive property?
Answer:
If this is a numerical equation that you need, than here is an example: 2(6x+5)
or, if you ae not using variables, 2(6+5)
Step-by-step explanation:
In both cases the 2 is the number being distributed. This means that 2 is being multiplied by both 6x and 5 (or 6 and 5).
7a - 3 = 3 - 2a What does a equal?
Answer:
2/3
Step-by-step explanation:
1) Move the 7a to the other side
2) Move the 3
3) Combine like terms
4) Divide by 9
5) Answer is 2/3
Answer:
a=2/3
Step-by-step explanation:
All this problem needs is some knowledge of how an = sign and basic equations work
7a-3=3-2a
7a+2a=3+3 (Sign becomes opposite on the other side of the equation)
9a=6
a=2/3
Thank you for your time!
By which angle must turn about point A in the clockwise direction so that it coincides with ?
https://cdn.ple.platoweb.com/EdAssets/6168ddce5d8545b692cd00c2eaaf2f05?ts=635385675311870000
A. 90°
B. 180°
C. 270°
D. 360°
When a line is rotated, it is rotated about a fixed point to its new position. Line AB must turn 180 degrees about point A to coincide with line AE.
The complete question is that we determine the angle which AB will turn to, about point A to align with AE (see attachment for the figure)
Line AB and AE form a straight line. This means that the angle between these two lines on either side of point A is [tex]180^o[/tex]
So for line AB to coincides with line AE, the line AB must turn 180 degrees about point A.
Hence, option (B) is correct.
Read more about rotation of points at:
https://brainly.com/question/22363471
The cosst of 4 1 /4 kg of sugar is £68 .find the coast o 1 kg
Step-by-step explanation:
Hi, there!!
Here according to the question we must find the cost of 1 kg sugar.
Given that:
17/4 kg of sugar cost £68.
then 1 kg sugar costs,
=[tex] \frac{68}{ \frac{17}{4} } [/tex]
after reciprocal we get,
= £68×4/17
=£16
The answer would come £16.
Therefore, The cost of 1 kg sugar is £. 16.
Hope it helps....
Answer:
£ 16
Step-by-step explanation:
Cost of 4 1/4 kg sugar = £ 68
4 1/4 = 17/4
Cost of 17/4 kg of sugar = 68
Cost of 1 kg of sugar =68 ÷ (17/4)
[tex]= 68* \frac{4}{17}\\\\=4*4\\[/tex]
= £ 16
I need help on this question pls
56/64 = 7/8
7/8 x 120
105.
Maddy is carrying a 555 liter jug of sports drink that weighs 7.5\text{ kg}7.5 kg7, point, 5, start text, space, k, g, end text. She wants to know how many kilograms a 222 liter jug of sports drink would weigh (w)left parenthesis, w, right parenthesis. She assumes the relationship between volume and weight is proportional. What is the weight of the 2 liter jug?
Answer:
w/2 = 7.5/5
3kg
Step-by-step explanation:
Remaining question below:
Which proportion could Maddy use to model this situation?
a. w/2 = 7.5/5
b. w/7.5 = 5/2
Solve the proportion to determine the weight of a 2 liter jug.
_____kg
5 liters jug of sport drink weighs 7.5kg
2 liters jug of sport drink will weigh x kg
Find w
Ratio of weight to volume
7.5kg : 5liters=7.5/5
wkg : 2 liters=w/2
Equates the ratio
7.5 / 5 = w / 2
Cross product
7.5*2=5*w
15=5w
Divide both sides by 5
3=w
w=3kg
Therefore, weight of the 2liters jug of sport drink is 3kg
Answer:
The answer is 3kg!
Step-by-step explanation:
find the vertex of this parabola y=-2x ^2-4x-5
Answer:
(1, -13)
Brainliest, please!
Step-by-step explanation:
To find the x coordinate of the vertex, we use the formula, -b / 2a. In this problem, a = 2, and b = -4. c is -5, but we don't need to know it.
- -4 / 2(2) = 4 / 4 = 1
Vertex = (1, y)
Next, we plug 1 back into the parabola equation for x to solve for y.
y = -2(1)^2 - 4(1) -5
y = -2^2 - 4 - 5
y = -4 - 4 - 5
y = -8 - 5
y = - 13
Vertex = (1, -13)
Just need help
the equations are above
Answer:
6×4p=24p
15a÷3=5a
3t×8y=24ty
24ef÷12e=2f
-4fx-5px-3 =-x(4f+5p)-3
-9abc÷3a=-3bc
Evaluate the expression 5^-2
Answer:
[tex]\boxed{\frac{1}{25} \text { OR } 0.04}}[/tex]
Step-by-step explanation:
[tex]5^{-2}\\\\\text {Apply Negative Exponent Rule: } a^{-b}=\frac{1}{a^b}\\\\5^{-2}=\frac{1}{5^2}=\boxed{{\frac{1}{25}} \text { OR } 0.04}[/tex]
ASAP!!!!!!!!!!
What is the line of symmetry for the graph of y = -3x^2 + 12x - 11?
wrong= reported
ty<3
Answer:
line of symmetry is : x=2
Step-by-step explanation:
Answer:
Thus, the required line of symmetry is x = 2.
Step-by-step explanation:
LENGTH OF ARCS. URGENT.
Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.
Plz help with this question! What is 1/3 * 3/5 * 5/7 ... * 97/99
Answer:
Step-by-step explanation:
(1/3)*(3/5)*(5/7)*.......*(93/95) * (95/97) * (97/99)
The denominator of each fraction will cancel out the numerator of the next fraction.
Take a close look
Therefore the result is 1/99
HOPE IT HELPS!!
The product of the geometric series is 1/99.
The product is a geometric series with first term 1/3 and common ratio 2/3. The number of terms is 49. The sum of the series is 1/99.
Here's the explanation:
A geometric series is a series where each term is multiplied by a constant value to get the next term. The constant value is called the common ratio.
In this case, the first term is 1/3 and the common ratio is 2/3. This means that each term is multiplied by 2/3 to get the next term.
The number of terms in the series is 49. This means that there are 49 terms in the series, starting with 1/3 and ending with 97/99.
The sum of the series is 1/99. This can be found using the formula for the sum of a geometric series:
S = a × (1 - [tex]r^{n}[/tex]) / 1 - r
where a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = 1/3, r = 2/3, and n = 49. Substituting these values into the formula, we get:
S = (1/3) × (1 - (2/3)49) / 1 - (2/3) = 1/99
Therefore, the product is 1/99.
Learn more about geometric series here: brainly.com/question/30264021
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If the lateral surface area of a cube is 100 square inches, what is the length of an edge?
Answer:
Length of an edge=4.0825 inches
Approximately 4.1 inches
Step-by-step explanation:
Lateral surface area of a cube=100 square inches
There are 6 square surfaces on a cube.
6a^2=surface area of a cube
6a^2=100
Divide both sides by 6
a^2=100/6
a^2=16.6667
Find the square root of both sides
√a^2=√16.6667
a=√16.6667
x=4.0825 inches
Length of an edge=4.0825 inches
Answer:
2√5
Step-by-step explanation:
I got it correct on founders edtell
Evaluate the expression 5^-2
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{1}{25}}[/tex]
When evaluating an expression with a negative exponent, the reciprocal will need to be taken. Therefore:
[tex]5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}[/tex]
Find the perimeter.
8.2 in.
2.8 in.
3.4 in.
4.5 in.
7.1 in.
10.8 in.
Enter
Answer:
36.8
Step-by-step explanation:
Perimeter is the addition of each side.
8.2 + 4.5 + 7.1 + 10.8 + 3.4 + 2.8
^ ^
12.7 + 7.1
19.8 + 10.8
30.6 + 3.4
34 + 2.8
36.8
Hope this helped.
Answer:
36.8 in
Step-by-step explanation:
Perimeter is the sum of length of all sides of the figure
Perimeter=8.2+10.8+4.5+7.1+2.8+3.4=36.8
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hour is desired. Past studies suggest that a population standard deviation of hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.
Complete question:
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hours is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.
Answer:
111 students
Step-by-step explanation:
Given the following :
Margin of Error (E) = 0.28
Population standard deviation (sd) = 1.5
Recall:
Margin of Error(E) = Z * (sd/√n)
Taking a confidence interval of 95%
The Z value at a 95% confidence interval is 1.96
Plugging our values, we have :
Margin of Error(E) = Z * (sd/√n)
0.28 = 1.96 * (1.5/√n)
0.28 = 2.94 / √n
√n × 0.28 = 2.94
√n = 2.94 / 0.28
√n = 10.5
Square both sides to obtain n
n = 10.5^2
n = 110.25
solve this it attached
[tex]\\ \sf\longmapsto \dfrac{15}{k}[/tex]
k=3Put the value
[tex]\\ \sf\longmapsto \dfrac{15}{3}[/tex]
[tex]\\ \sf\longmapsto 5[/tex]
[tex]\large\bf{\orange{ \implies}} \tt \: \frac{15}{k} \\ [/tex]
Value of k is 3
[tex]\large\bf{\purple{ \implies}} \tt \: \cancel\frac{15}{3} \: = \: 5 \: \\ [/tex]
5-5√3/2-√11 rationalize
Step-by-step explanation:
[tex] \frac{5 - 5 \sqrt{3} }{2 - \sqrt{11} } [/tex]
To rationalize the surd multiply both the numerator and the denominator by
2 + √11
That's
[tex] \frac{5 - 5 \sqrt{3} }{2 - \sqrt{11} } \times \frac{2 + \sqrt{11} }{2 + \sqrt{11} } [/tex]
Multiply the numerators and the denominator separately
That's
[tex] \frac{(5 - 5 \sqrt{3} )(2 + \sqrt{11} )}{(2 - \sqrt{11})(2 + \sqrt{11} ) } [/tex]
Simplify
[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5\sqrt{33} }{?} [/tex]
[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33} }{4 - 2 \sqrt{11} + 2 \sqrt{11} - 11} [/tex]
[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{4 - 11} [/tex]
[tex] \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{ - 7} [/tex]
We have the final answer as
[tex] - \frac{10 + 5 \sqrt{11} - 10 \sqrt{3} - 5 \sqrt{33}}{7} [/tex]
Hope this helps you
PLEASE HELP 46 POINTS!!!
Answer:
Step-by-step explanation:
a) Input = -9 ⇒ x = -9
y = x² + 3
Plugin x = (-9),
y = (-9)² + 3
= 81 + 3 {(-9)² = -9 * (-9) = 81}
y = 84 ---> Output
y = √x - 2
= √-9 - 2 { i² = -1}
[tex]= \sqrt{3*3 * i^{2}}-2\\\\=3i -2[/tex]
y = 3i - 2 ------> Output
b) Output = 0
y = x² + 3
x² + 3 = 0
x² = -3
[tex]x = \sqrt{-3}=\sqrt{3i^{2}}\\\\x = i \sqrt{3}[/tex]
y = √x -2
0 = √x - 2
√x = 2
Take square,
[tex](\sqrt{x})^{2}=2^{2}\\\x = 4[/tex]
Helena builds a shed in her backyard. There is a larger section for large tools, like her lawn mower, and a smaller section for small tools. What is the length of the entire shed? What type of number is the length? List as many types of numbers for the length as you can.
Answer:
4+5[tex]\sqrt{2}[/tex] ft
Step-by-step explanation:
The type o the length of the shed will be a real number and a rational number. Then the correct option is B and E.
What is a number system?The continuous portrayal of numerals using digits and perhaps other marks is known as a number system.
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number.
Helena builds a shed in her backyard.
There is a larger section for large tools, like her lawn mower, and a smaller section for small tools.
The type o the length of the shed will be a real number and a rational number.
Then the correct option is B and E.
The complete question is attached below.
More about the number system link is given below.
https://brainly.com/question/22046046
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Anyone the answers? Please help
Answer:
1.) 3 shovels/7 buckets
2.)7 buckets/3shovels
1. What property could you use to show that triangles ACT and ODG are congruent?
Answer:
SSS
Step-by-step explanation:
We do not know any of the angles, and we also do not know if the triangles are right triangles. Thus, SSS is the only option left. We know that all three sides are congruent anyway.
Answer:
SSS
Step-by-step explanation:
AC = OD
AT = OG
CT = DG
You have three congruent sides making ΔACT & ΔODG congruent by SSS.
A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $27.00 per square meter. How much will the chalkboard cost?
Answer:
The chalkboard costs $54.00
Step-by-step explanation:
A chalkboard is in a shape of a rectangle. The chalkboard mentioned measures 1 meter by 2 meters.
The area of a rectangle is given by the formula:
A = lw
Use formula:
A = (2)(1) = 2 m^2
The chalkboard costs $27.00 per square meter so:
2 x 27 = 54
The chalkboard costs $54.00
You are selling lemonade for $1.50, a bag of kettle corn for $3, and a hot dog for $2.50 at a fair. Write and simplify an expression for the amount of money you receive when p people buy one of each item
Answer:
1.5p + 3p + 2.5p
Step-by-step explanation:
This expression, 1.5p + 3p + 2.5p, will represent the amount of money received when p people buy one of each food item.
Since the price of each is the coefficient for p, this will represent how much money will be gained from each food item. All 3 terms will be added together to represent the total amount of money gained from selling all 3 items.