Answer:
[tex]a_{n}[/tex] = 64 [tex](\frac{1}{2}) ^{n-1}[/tex]
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{32}{64}[/tex] = [tex]\frac{1}{2}[/tex] , then explicit formula is
[tex]a_{n}[/tex] = 64 [tex](\frac{1}{2}) ^{n-1}[/tex]
Mrs. Peabodys classroom was collecting
canned goods for a food drive. Her class set
a goal of collecting 300 cans. At the end of
the food drive, they collected 270 cans. What
percentage of their goal did they meet?
Answer:
570
Step-by-step explanation:
yan sagot ko ehh balakajan
I need help with Geometry
Answer: C) Segment PR
====================================================
Explanation:
Let's find the missing angle R. We'll use the idea that all three angles of any triangle always add to 180
P+Q+R = 180
48+83+R = 180
131+R = 180
R = 180-131
R = 49
Here are the three angles of triangle PQR
P = 48Q = 83R = 49The largest angle is Q = 83, so the opposite side PR is the longest side. The longest side of a triangle is always opposite the largest angle.
PLS HELP
(the second page has the options)
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
7 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet
Answer:
6 feet by 5 feet by 4 feet
7 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
Step-by-step explanation:
E D G E N U I T Y
Hope this helped!!! :)
Stay safe and have a wonderful day/afternoon/night!!!!!
Brainliest?!?!
5.
The cross-section of a triangular prism is a right-angled isosceles triangle with one of the
equal side 6cm.If the length of the prism is 82 cm, calculate the total surface area and
volume of the prism.
which is wailable from your science practical
ria
Answer:
Part A
The total surface area of the triangular prism is approximately 1715.793 cm³
Part B
The volume of the triangular prism is 1,476 cm³
Step-by-step explanation:
Part A
The given parameters are;
The shape of the cross-section of triangular prism = Right-angled isosceles triangle
The length of one the of the equal side = 6 cm
The length of the prism = 82 cm
Therefore, the height of the triangular cross section of the prism = 6 × sin(45°) = 3·√2 cm
The base length of the cross section, l = √(6² + 6²) = √72 = 6·√2 cm
The area of the triangular cross section of the triangular prism = 1/2 × Base × Height
∴ The area of the triangular cross section of the triangular prism = 1/2 × 6·√2 cm × 3·√2 cm = 18 cm²
The total surface area of the triangular prism = 6 × 82 × 2 + 82 × 6×√2 + 2 × 18 ≈ 1715.793 cm³
The total surface area of the triangular prism ≈ 1715.793 cm³
Part B
The volume of the triangular prism = The area of the triangular cross section × The length of the triangular prism
∴ The volume of the triangular prism = 18 cm² × 82 cm = 1,476 cm³.
which statement about pentagon's and hexagons are true
Answer:
b
Step-by-step explanation:
Answer:
B and A
is the correct answer
find the value of x that makes the equation true 12/x = 8/6
Answer:
x=9
Step-by-step explanation:
1. [tex]\frac{12}{x}[/tex]=[tex]\frac{4}{3}[/tex]
2. 12=[tex]\frac{4}{3}x[/tex]
3. 12=[tex]\frac{4x}{3}[/tex]
4. 12x3=4x
5. 36=4x
6. [tex]\frac{36}{4} =x[/tex]
7. 9=x
8. x=9
The value of x that makes the equation true 12/x = 8/6 is 9
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find the value of x that makes the equation true 12/x = 8/6
The given equation is 12/x=8/6
Twelve divided by x equal to eight by six
Apply cross multiplication
12(6)=8x
72=8x
Divide both sides by 8
x=9
Hence, the value of x that makes the equation true 12/x = 8/6 is 9
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Help! What is the equation of this line?
Step-by-step explanation:
The line is the y-axis, where x = 0.
Equation of the line: x = 0.
-2(x + 6) = 5x - 10
The Answer: x = -2/7
Answer: x = 2/7 or 0.29
Step-by-step explanation:
- 2x - 12 = 5x - 10
- 2x - 5x = 12 - 10
- 7x = 2
x = 2/7 or x = 0.29
The decimal place is rounded up.
Find the length of the side that is marked by x
HURRY PLEASEEEE
Answer:
x = 6.7128 m
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
Angle θ = 40°
Opposite Leg = x
Adjacent Leg = 8
Step 2: Solve for x
Substitute [Tangent]: tan40° = x/8Isolate x: 8tan40° = xRewrite: x = 8tan40°Evaluate: x = 6.7128in the recent year, 51.9 billion cans were recycled. About how many cans per this week
A shop sells shakes for $2 and doublescoop cones for $3. One day they sold 8 more shakes than scoops, and made $156. How many shakes and scoops did they sell?
Answer:
x = 36 and y = 28
Step-by-step explanation:
Let she sells x shakes and y doublescoop cones
One day they sold 8 more shakes than scoops, and made $156.
ATQ,
2x+3y = 156 ..(1)
Also,
x = y+8 ..(2)
Put the value of x from (1) to equation (2)
2(y+8)+3y = 156
2y+16+3y = 156
5y = 156 - 16
5y = 140
y = 28
Put the value of y in equation (2)
x = 28+8
x = 36
Hence, they will sell 36 shakes and 28 doublescoop cones.
Which of the following is same as 1500*15*5?
a) 1500*10*55
b) 1000+(500*75)
c) (1000*75)+(500*75)
d) (1500*15)+(1500*5)
Answer:
(c) bro for sure i have done this calculation bro
8x+10=12x-18 answer plz and mesure ment of angles
Answer: x=7
Step-by-step explanation:
Let's solve your equation step-by-step.
8x+10=12x−18
Step 1: Subtract 12x from both sides.
8x+10−12x=12x−18−12x
−4x+10=−18
Step 2: Subtract 10 from both sides.
−4x+10−10=−18−10
−4x=−28
Step 3: Divide both sides by -4.
-4x/-4 = -28/-4
answer: x=7
Answer:
X= 7
Step-by-step explanation:
8x+10 = 12x-18
10= 4x-18
28 = 4x
7 = x
Will mark as brainiest
By rounding each number to 1 significant figure, estimate the answer to 39x52/ 3.8x4.9
Answer:
100
Step-by-step explanation:
Round off each number to 1 significant figure first.
(39×52)/(3.8×4.9) = (40×50)/(4×5)
Evaluate numbers in brackets.
(40×50)/(4×5) = 2000/20
Evaluate.
2000/20 = 100
The value of the expression will be equal to 100.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Round off each number to 1 significant figure first.
(39×52)/(3.8×4.9) = (40×50)/(4×5)
Evaluate numbers in brackets.
(40×50)/(4×5) = 2000/20
(40×50)/(4×5) = 2000/20 = 100
Therefore, the value of the expression will be equal to 100.
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Assuming that any skirt can be paired with any blouse, in how
many ways can Anna select her outfit? List the possibilities.
Flvs Algebra 2: Module 4 exam part 1.
Answer:hi:)
Step-by-step explanation:
The equation y = (x + 2)² + 3 represents the shown parabolic graph. The correct answer is option B.
The vertex of the parabola occurs at the point (-2, 3), which is the point where the parabola reaches its minimum value.
The term (x + 2)² indicates that the parabola is translated horizontally by 2 units to the left from the standard vertex form of a parabola.
The "+3" term indicates that the parabola is translated vertically by 3 units upward.
Hence, the equation y = (x + 2)² + 3 represents the shown parabolic graph.
Thus, the correct answer is option B.
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In ΔCAB, if the measure of segment AB is 8 units and the measure of segment segment AC is 5 units, which of the following could be the measure of segment segment CB?
triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED
a-12 units
b-13 units
c-14 units
d-15 units
Answer:
a-12 unitsStep-by-step explanation:
Answering the first part of the question. It seems the second paragraph is of different question.Use the triangle inequality theorem which states that any side of the triangle must be shorter than the sum of the other sides.
We have sum of given sides:
8 + 5 = 13 unitsThe remaining side must be less than 13 units, which is a- 12 units, all the other options are greater than 13 units
Answer:
Its not 14 its 12
Step-by-step explanation:
I got it right on the test
Write the fraction 4/7 as an equivalent fraction with the given denominator 28 .
Answer:
16/28
Step-by-step explanation:
Multiply both the denomator and numerator by 4
helpigiverialiestifyouhelpmeok
A nest of ants has been growing exponentially in such a way that its population, P, as a function of w weeks is given by P(w)=24, 000(1.063)^w
Matthew claims that the population of ants is growing at a rate of 0.9% per day. Explain why Matthew’s claim is too high of a rate.
Answer:
0.9%
Step-by-step explanation:
Given that:
A nest of ant is represented by the exponential growth function :
P(w)=24,000(1.063)^w
Where w = number of weeks
Recall :
Growth function is generally represented as :
P(t) = A(1 + r)^t
Where ; A is the initial population figure; r = growth rate and t = time
Hence, the growth rate per week of the function given is :
(1 + r) = 1.063
r = 1.063 - 1
r = 0.063
Number of days in a week = 7
Hence, growth rate per day = r /7
0.063 / 7
= 0.009
(0.009 * 100%) = 0.9%
Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function of x?
There are x-values which are paired with multiple y-values.
I need it step by step please
Answer:
1/2x-3
Step-by-step explanation:
First, make the equation 2y+4x=12 into a linear equation(y=mx+b)
2y=-4x+12
y=-2x+6
From this, you know the slope is -2.
The perpendicular of any slope is going to be the negative inverse.
negative inverse: a/b-->-b/a
so basically flip it and make it negative(make it positive if the original is negative).
So, for -2 it would be 1/2
Now right the equation for the perpendicular line.
y=1/2x+b
b is the y intercept, and since you want to make the line go through (8,1) you have to change the 6 in the original equation.
To do this replace x and y with 8 and 1
1=1/2(8)+b
1=4+b
b=-3
So you plug that into the equation
y=1/2x-3
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 5\le x \le 75≤x≤7.
Answer:
[tex]Average\ Rate = 48[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the average rate of change over [tex]5\le x \le 7[/tex]
Average rate of change is calculated using:
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a \le x\le b[/tex]
In this case:
[tex]a = 5;\ \ \ b = 7[/tex]
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(5)}{7 - 5}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(5)}{2}[/tex]
From the table:
[tex]f(7) = 108[/tex]
[tex]f(5) = 12[/tex]
The expression becomes
[tex]Average\ Rate = \frac{108 - 12}{2}[/tex]
[tex]Average\ Rate = \frac{96}{2}[/tex]
[tex]Average\ Rate = 48[/tex]
The cost of a pair of shoes was reduced from $60 to $45 by what percent did the cost of Pair of Shoes decrease
How many groups of 12 day are in 1 week? Draw a tape diagram to show the relationship
between the quantities and to answer the question.
Will give brainiest! Please look at pic and answer.
Answer:
i do think its 15
Step-bep explanation:
put the 25 in halph and that how its 15
A patient requires an IV of D5W, a 5% solution of dextrose (sugar) in water. To the nearest milliliter, how much D20W, a 20% solution of dextrose in water, must be added to 100 milliliters of distilled water to produce a D5W solution? Please show all work.
Answer:
[tex]A=300ml[/tex]
Step-by-step explanation:
From the question we are told that
5% solution of dextrose sugar in water
20% solution of dextrose in
100 milliliters of distilled water water
Generally in mathematically solving we call A the amount of D20W added
Since 20% of dextrose is needed
[tex]20 \%*100=20milliter[/tex]
Total quantity after addition (100+x)
for DW5% total solution is
[tex]5\% (100+A)= \frac{5}{100}(100+A)[/tex]
[tex]5\% (100+A) =5+0.05A[/tex]
Mathematically
[tex]5+0.05A =20[/tex]
[tex]5+0.05A =20-5[/tex]
[tex]A=\frac{15}{0.05}[/tex]
[tex]A=300ml[/tex]
Therefore the required quantity [tex]A=300ml[/tex]
Han wants to buy a pair of $150 headphones. He has a 10% off coupon. Han thinks he will save $10 using this coupon. Is he correct?
Answer:
no 10% of 150 is $15
Step-by-step explanation:
100% of 150 is 150
10% is 15
Please help due in 10 minutes
Answer:
it is 8x+36 mgmgkgkgkgkfkf sorry about that lol it needs to be 20 words long but yea
Step-by-step explanation:
yeah the answer is c 8x+36