9514 1404 393
Answer:
1856
Step-by-step explanation:
The numbers given do not have a common difference, but they do have a common ratio:
58/29 = 116/58 = 2
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1×r^(n-1)
For this sequence, a1=29 and r=2, so the general term is ...
an = 29×2^(n-1)
Then the 7th term is ...
a7 = 29×2^(7-1) = 29×64 = 1856
The 7th term is 1856.
_____
If you prefer, you can double each term until you have 7 of them.
29, 58, 116, 232, 464, 928, 1856, ...
Three girls share R12000 in the ratio 2:3:7 calculate how much each girl will get show calculations
According to the ratio , the three girls shares are R2000,R3000 and R7000.
What is ratio?
When two numbers are compared, the ratio between them shows how often the first number contains the second. As an illustration, the ratio of oranges to lemons in a dish of fruit is 8:6 if there are 8 oranges and 6 lemons present.
Here the given total share amount is R12000.
Now the ratio for three girls is 2:3:7.
Total = 2+3+7=12
Now the share amounts are,
=> \(\frac{2}{12}\times 12000\) = \(2\times1000=R2000.\\\)
=> \(\frac{3}{12}\times=3\times1000=R3000\)
=> \(\frac{7}{12}\times12000=7\times1000=R7000\)
Hence the three girls shares are R2000,R3000 and R7000.
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Which equation represents the following graph y=3x+2
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
select all of the numerical expressions that simplify to 4
Answer:
1st, 2nd and 5th
Step-by-step explanation:
Use a calculator to add the expressions together.
The map shows an obstacle course at a school fair. The units are given in yards.
What is the total distance of
the obstacle course?
? yards
Start
(-40, -10)
Tire
Race
(-40, -30)
Finish
(10, 20)
Monkey
Bars
(40,20)
Rope
Climb
(40,-30)
The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Using this formula, we can calculate the distances between each pair of consecutive points as follows:
Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards
Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards
Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards
Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards
Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.
Zahara constructs 5 mirror frames in 30 minutes. At that rate, how many mirror frames can Zahara make in 9 hours
Please help!!
Answer:
90
Step-by-step explanation:
I believe it is 90 because when you take 30 minutes plus 30 minutes that makes 1 hour, and when you take 5 plus 5 equals 10. So, that means 10 every hour. So 10 times 9 is 90. Which gives you the answer of 90 mirror frames.
One month Sam rented 3 movies and 5 video games for a total of $32. The next month, he rented 12 movies and 2 video games for a total of $29. Find the rental cost for a movie and a video game.
Using a system of equations, the rental cost for a movie and a video game is as follows:
Movie = $1.50Video game = $5.50.What is a system of equations?A system of equations is two or more equations solved concurrently or at the same time.
A system of equations is also described as simultaneous equations.
Movies Video Total
Games Cost
First month rental 3 5 $32
Second month rental 12 2 $29
Let the rental cost per movie = x
Let the rental cost per video game = y
Equations:
3x + 5y = 32 ... Equation 1
12x + 2y = 29 ... Equation 2
Multiply Equation 1 by 4:
12x + 20y = 128 ... Equation 3
Subtract Equation 2 from Equation 3:
12x + 20y = 128
-
12x + 2y = 29
18y = 99
y = 5.5
Substitute y = 5.5 in Equation 1 or 2:
12x + 2y = 29
12x + 2(5.5) = 29
12x + 11 = 29
12x = 18
x = 1.5
Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.
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Giana has started collecting sea shells. Every month she adds 66 new shells to her collection. After 66 months of collecting, she has 3838 shells in her collection. Using this information, create an equation written in point-slope form that models the amount of shells y in Giana’s collection after x months
She has 3838 shells in her collection after 66 months of gathering. The equation using this data is 33x+33y=1919.
Given that,
Giana has begun to gather seashells. She grows her collection by 66 new shells each month. She has 3838 shells in her collection after 66 months of gathering.
We have to create an equation using this data that models the number of shells y Giana's collection will include after x months in point-slope form.
We can write as
The total number of shells she collected =(The amount of shells she collect each month)×y+(The month of collecting the shells)×x
3838=66y+66x
66x+66y=3838
33x+33y=1919
Therefore, the equation using this data that models the number of shells Giana's collection will include after x months in point-slope form is 33x+33y=1919.
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Answer: give correct answers only or people on here will do the same thing u did to them bozo
Step-by-step explanation:EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
the cost for a loaf of bread is $1.90. what will be the cost for 1 1/2 dozens loaves of bread
Answer:
$34.20
Step-by-step explanation:
\(1\frac{1}{2}\) loaves of bread is 18 loaves if bread. Multiply 18 by 1.90 you get 34.20.
please help me with math i’ll give you brainlist
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Rick Rich owns a Mercedes dealership. Mercedes has 5 models, 4 standard options packages, and 5 colors. If Rick wants to immediately be able to deliver any car (model, option package, color), how many cars must Rick have on hand?
Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).
To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.
With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.
Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.
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a. The graph of f(x)=1/x^2
is reflected over the x-axis and horizontally compressed by a factor of 1/6
g(x)= ?
Answer:
Reflection over the y-axis = change
Compress by a factor of k = multiply by k
So, in your case, we first change the sign of the argument. Note that this has no effect, because f(x) is symmetric with respect to the y-axis:
Then, we compress the function, multiplying it by the scaling factor:
Step-by-step explanation:
Evaluate the expression when y = 4 y/2-8
Answer:
-6
Step-by-step explanation:
Using PEMDAS , division comes first.
4 ÷ 2 - 8
= 2 - 8
= -6
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?
please help thank you..
What is the distance from C to B
please help me
AP STATISTICS MATH
(Image above) PLEASE HELP THANK YOU (brainlist answer)
The probabilities are given as follows:
3. P(rides bus|owns a car) = 1/3.
4. P(red|organic) = 3/5.
How to calculate a probability?The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
For item 3, the outcomes are given as follows:
Desired outcomes: rides bus and owns a car -> 8 people.Total outcomes: owns a car -> 24 people.Hence the probability is:
P(rides bus|owns a car) = 8/24 = 1/3.
For item 4, the outcomes are given as follows:
Desired outcomes: red and organic -> 18%Total outcomes: organic -> 30%.The error was in identifying the total outcomes, and the probability is:
P(red|organic) = 18/30 = 3/5.
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Which statement shows 2, –4, –1, and 0 in order from least to greatest?
A. 2 < –4 < –1 < 0
B. –4 < 2 < 1 < 0
C. –4 < –1 < 0 < 2
D. 2 < 0 < –1 < –4
Answer:
The answer: C. -4 is the lowest and 2 is the greatest :)
Answer:
C
Step-by-step explanation:
c because -4 is less then -1 and -1 is less then 0 and o is less then 2
expressions or equations.
Select all the ways to name 14.09.
a. 1,409 hundredths
b. 1 ten + 409 hundredths
c. 1 ten + 4 ones + 9 tenths
d. 140 tenths +9 hundredths
e. 1,409 tenths
i need the answer to this question
Answer:
Area of annulus is 40.85cm² to 2d.p
Step-by-step explanation:
Area of shaded part=Area of bigger circle -Area of smaler circle
Area of annulus= πR²- πr²= π(R²-r²)
A=3.142(7²-6²)
A=3.142(49-36)
A=3.142×13
A=40.846cm²
A=40.85cm² to 2d.p
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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Greatest common factor of three univariate monomials
Find the greatest common factor of these three expressions.
Answer:
3
Step-by-step explanation:
The GCF is the largest number that is a factor of the numbers listed. In this case, since one of the numbers is a constant the GCF will not have a variable. However, all of the numbers can be divided by 3. This is because 3 is the GCF.
Answer:
i because all of these answers are useless
Can you help on this math problem
Answer:
k = 11.7
Step-by-step explanation:
Constant of Proportionality
When two quantities y and x are proportional to each other, they are related by the proportionality equation
y = kx
where k is known as the constant of proportionality
The y axis is Money earned in $
x axis is time worked in hours
The relationship is y = kx and we are asked to find k
The constant of proportionality for this graph is nothing but the slope of the graph.
Slope can be found by taking any two points on the graph, determining the difference in y values and dividing by the difference in corresponding x values;
Two points have been chosen for us:
(3, 35.1) and (7, 81.9)
Difference in y values = 81.9 - 35.1 = 46.8 (also known as rise)
Difference in x values = 7 - 3 = 4 (also known as run)
Slope = k = rise/run = 46.8/4 = 11.7
Therefore k = 11.7
Answer: k = 11.7
Step-by-step explanation: hope this helps0^0
[-12] + [4] find the absolute value of each integer then add them
Hello there!
Answer:
16
Step-by-step explanation:
\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)
-12 < 0 so |-12| = -(-12) = 12
4 > 0 so |4| = 4
|-12| + |4| = 12 + 4 = 16
Answer:
16
Step-by-step explanation:
Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].
This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.
The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.
Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation
12+4=16
Thus, the answer is 16.
Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!
Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)
By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 5 2 -2
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 5)/(0 - 3)
Slope (m) = -9/3
Slope (m) = -3
At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = 3(x - 3)
y + 5 = -3(x - 3)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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9. Find the volume of a cone with a radius of 10 mm and a height of 6 mm.
O 628 mm³
O 600 mm³
O 1,884 mm 3
O 1,254 mm
Answer:
Step-by-step explanation:
The formula for the volume of a cone is:
V = (1/3)πr^2h
where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.
Substituting the given values, we have:
V = (1/3)π(10 mm)^2(6 mm)
V = (1/3)π(100 mm^2)(6 mm)
V = (1/3)π(600 mm^3)
V = 200π mm^3
Using a calculator to approximate π to 3.14, we get:
V ≈ 628.32 mm^3
Therefore, the answer is O 628 mm³.
SENORMATHWIZ AM I CORRECT HURRY I HAVE 5 MIN!!!!
Answer:
its actually c
Step-by-step explanation:
6*10=60+40=100
100\(\geq\)100
Answer:
C
Step-by-step explanation:
In order to graph we must first simplify the inequality
40 + 10x ≥ 100
step 1 subtract 40 from each side
40 - 40 cancels out
100 - 40 = 60
we now have 10x ≥ 60
step 2 divide each side by 10
10x/10 = x
60 / 10 = 6
we're left with x ≥ 6
Now to graph
We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right
Thus, the answer is C
Which graph represents x > 23
A. 23 To the right
B. 23 to the left
In a number line?
Answer:
eStep-by-step explanation: