Answer:
8 th term
Step-by-step explanation:
Continuing the sequence from the last term given (term 4 )
a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25
a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125
a₇ = 0.5 × 4.125 - 2 = 2.125
a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative
The first term to be negative is term 8
PLEASEEEEE ANSWER Gale wants to compare the cost of the events. Aquarium: $14.50 each ticket Carnival: c = 15.5 + 12f Wave pool: $16.75 each, but $12.25 each for groups larger than 4 Which of the claims Gale makes is true? The table represents all possibilities. The carnival always costs the least. The Aquarium always costs the most. (7, 101.5) is an ordered pair used to represent the aquarium cost.
Answer:
The fourth statement is true
Step-by-step explanation:
the table does not represent all possibilities, because the function is limited to zero tickets
Thus, this statement is false
the carnival never costs least, because the aquarium costs less, and the pool may cost even less if there is a group of 4
Thus, this statement is false
the aquarium not always costs the most, since it cost 14.50$ each ticket, while the wave pool may have tickets 16.75 each
Thus, this statement is false
the aquarium cost may be represented by the equation:
y=14.50x
now, we put in the ordered pair coordinates:
101.5=14.50*7
101.5=101.5
Thus, this statement is true
Answer:
correct 4 edge 2020
(7, 101.5) is an ordered pair used to represent the aquarium cost.
Step-by-step explanation:
Gale wants to compare the cost of the events.
Aquarium: $14.50 each ticket
Carnival: c = 15.5 + 12f
Wave pool: $16.75 each, but $12.25 each for groups larger than 4
Which of the claims Gale makes is true?
The table represents all possibilities.
The carnival always costs the least.
The Aquarium always costs the most.
(7, 101.5) is an ordered pair used to represent the aquarium cost.
What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to –2 all real numbers greater than or equal to –3
Explanation:
The left-most point is at (-3,-2). The x coordinate is all we're concerned with here. The x coordinate for this point is x = -3. This is the smallest x value possible as an input. We cannot have x = -4 as that is nowhere on the blue curve.
So the domain is the set of real numbers x such that x is -4 or larger
In set builder notation, that would look like [tex]\{x|x\in\mathbb{R}, \ x \ge -3\}[/tex]
In interval notation, we would say [tex][-3, \infty)[/tex] to indicate to the reader "have an interval from -3 to positive infinity; include the endpoint -3"
Answer:
the answer will be
all real numbers greater than or equal to -3
which is d
Step-by-step explanation:
plz give me a Brainliest
thank you
hope it helped:)
Solve for x? and the lengths missing side
Answer:
X = 15, the missing length (c) is 10
Step-by-step explanation:
Using Pythagorean’s Theorem we know that a^2 + b^2 = c^2
We have side a and b, represent a as 6 and b as 8.
We have 6^2 + 8^2 = c^2
Which equals 100 = c^2
10 = c
Side C is 10, and (x - 5) = 10
X = 15
Please mark BRAINLIEST!
Answer: x ≅ 15.95
Step-by-step explanation:
Use the pythagorean theorem for right triangles x^2 + y^2 = s^2
6^2 = 36
8^2 = 64
(x - 5)^2 requires FOIL. Unfortunately Im going to do this on paper. Its essentially First Outside Inside Last. i got x^2 - 10x + 25
Lets now add 36 and 84 and make it equal to the trinomial we just got.
[tex]120=x^2-10x+25[/tex]
Now lets subtract 120 from both sides to get:
[tex]0=x^2-10x-95[/tex]
You could complete the square, I think. But im going to use the quadratic formula. [tex]\frac{-b +/- \sqrt{b^2-4ac} }{2a}[/tex]Im going to calculate this on paper for simplicity's sake. Im getting an answer of about [tex]\frac{10(+/-)21.909}{2}[/tex]
Solve by adding and then solve by subtracting to get x ≅ 15.95 and x = -5.95. We cant have a negative side length so we can disregard that negative answer.
Rachel, Mario and Sanjit share some money in the ratios 4 : 3 : 9 Mario receives £96. Work out the difference between the amount received by Rachel and the amount received by Sanjit.
Answer:
Step-by-step explanation:
If Marios share is 3 parts and is £96, then
Find one part = 96/3 = 32
So,
Rachel receives = 32 x 4 = £128
Sanjay receives = 32 x 9 = £288
Hope this helps
What is the range of f(x)?
-3, -2, -1, 0,1
-2.-1.0.1
all real numbers such that -3
all real numbers such that -2
The range of f(x) would be -2, -1, .0, 1.
What is the range of the function?The range of the function is depicted by the points that the blue lines make on the graph. Thus we have the first blue line on point, -2. This gradually progresses to -1 and then 0 and 1 on the y-axis.
The range of a function refers to the values that are covered by the expression and the values, -2, -1, .0, and 1 represent the function. Option B is right.
Learn more about the range of a function here:
https://brainly.com/question/7954282
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there are only blue cubes, yellow cubes and green cubes in a bag there are 3 times as many blue cubes as yellow cubes and five times as many green cubes as blue cubes Sarah takes a random cube from the bag. what is the probability she takes a yellow cube give your answer in its simplest form.
Answer:1/11
Step-by-step explanation:
Let the yellow cubes be x
yellow = x
blue = 2x // Blue cubes is twice of yellow
Green = 8x // Green is four times of blue
Ratio:
Yellow : Blue : Green
1 : 2 : 8
P(Yellow) = 1/11
what is the point slope form of a line with slope -4 that contains the point (-2,3)
Answer:
y -3 = -4(x+2)
Step-by-step explanation:
The point slope form of a line is
(y-y1) = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -3 = -4(x- -2)
y -3 = -4(x+2)
Which of the following is the rule for the geometric
sequence 1, 3. 9. 27, ...?
an = 3.39-1
an = 3.31
an = 1.32
an = 1.39-1
Answer:
[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]
Step-by-step explanation:
The n th term rule for a geometric sequence is
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , thus
[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]
How many sides does a pentagon have? A pentagon has number sides.
Answer:
5
Step-by-step explanation:
A pentagon is a polygon that has 5 sides.
Answer:
A pentagon has 5 sides
Step-by-step explanation:
penta, often means 5.
I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps, what is the value of my stamp collection in terms of b ?
Answer:
Value of stamp collection = (45b + 43) cents
Step-by-step explanation:
What we have here is as follows;
if there are x 3-cent stamps, then there are 4x 10-cent stamps
So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps
Number of 2 cents stamps = b
This means that x-1 = b
Thus, x = b + 1
So the value of the stamp collection is as follows;
x 3 cents stamps = 3(b+ 1) = 3b + 3 cents
4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
value of the 2 cents stamp = 2b cents
Total value is thus;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
Answer:
45b + 43 cents
Step-by-step explanation:
45b + 43 cents
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
A t-shirt increased in price by 14. After the increase it was priced at £30. What was the original price of the t-shirt?
Answer:
Either £16 or £26.32 depending on what you meant in the question
Step-by-step explanation:
I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%
If its £14, then the original price is 30-14 = £16
If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.
This means that
£30 = 114%
To make it easier, reduce the 114% to 1 %
1% = 30/114
1% = £0.26316
100% = £26.32 (rounded to 2 decimal places)
Therefore the original price was £26.32
A cone shaped container can hold 340.2 in cubed. If the radius of the opening is 5in what is the height of the cone? Round to the nearest in.
Answer:
about 128 inches
Step-by-step explanation:
Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
Plug in the given values into the formula and solve for h:
[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]
[tex]340.2=\pi (25)\frac{h}{3}[/tex]
[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]
[tex]42.75=\frac{h}{3}[/tex]
[tex]42.75(3)=\frac{h}{3} (3)[/tex]
[tex]128=h[/tex]
Work out the range of these numbers : -8, 6, -5, 2.5 thanks!
Answer:
14
Step-by-step explanation:
The range of a given set of values is the lowest value deducted from the highest value.
Lowest value is -8 and highest value is 6.
Therefore,
[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]
Hope it helps!
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
Triangle ABC is dilated about the origin by a factor of 2, reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ. Which statement is true? a. The two triangles are congruent because the each transformation is a rigid motion. b. The two triangles are not congruent because the orientation is changed. c. The two triangles are congruent because the orientation did not change. d. The two triangles are not congruent because dilation is not a rigid motion.
Answer:
d. The two triangles are not congruent because dilation is not a rigid motion.
Step-by-step explanation:
Triangle ABC is dilated about the origin b a factor of 2. It is then reflected and translated to form Triangle XYZ.
The new triangle formed is not congruent to ABC because the image is not the same size as the pre-image. It is only rigid transformations that preserve length, however dilation is not a rigid transformation.
Use the multiplier method to increase £88 by 14%
Answer:
£100.32
Step-by-step explanation:
£88 + 14% × £88 = £88
= 1.14×£88
= £100.32
Answer:
£100.32Step-by-step explanation:
[tex]88 \times \frac{14}{100} = 12.32[/tex]
so,
[tex]88 + 12.32 = 100.32[/tex]
hope this helps you
find hcf using division algorithm 867and 255
Answer :
By using EDL
a=bq+r
where a is > b
so a =867 and b=255
867=255×3+102
here r≠0 so a=255 and b=102
255=102×2+51
here r≠0 so a=102 and b=51
102=51×2+0
here r=0
so, Hcf of (867,255) is =51
Step-by-step explanation:
Hope it works out!!
Answer:
[tex]51[/tex]
Step-by-step explanation:
[tex]a=bq+r[/tex]
Where [tex]a > b[/tex]
[tex]867=255 \times 3+102[/tex]
[tex]255=102 \times 2+51[/tex]
[tex]102=51 \times 2+0[/tex]
Hcf of 867,255 is 51
Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, the angle B measures
Answer:
Answer is 25°
Step-by-step explanation:
let me know if you got it correct
In the figure below, find the values of the angles given in the first column
Answer:
Angle 1 = 110 degrees
Angle 2 = 70 degrees
Angle 3 = 100 degrees
Angle 4 = 80 degrees
Step-by-step explanation:
We will first of all search for the pieces of information given in the question that can help us to solve the problem.
From the diagram, we can see that angle 3 and angle 4 are already given as
Angle 3 = 100 degrees
Angle 4 = 80 degrees
The value of angle 1 has already been supplied as 110 degrees. This leaves us with angle 2 to find.
Recall that the angles in a straight line all sum up to 180 degrees. angle 1 and 2 are on the same straight line, hence angle 2 can be found by solving 180 - 110 = 70 degrees
Angle 2 = 70 degrees
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730 cm
Step-by-step explanation:
To solve this question we just need to use the law of sines:
The ratio between a side in the triangle and its opposite angle is always the same.
So we have that:
[tex]a / sin(A) = c / sin(C)[/tex]
[tex]714 / sin(78) = c / sin(90)[/tex]
sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:
[tex]714 / 0.9781 = c / 1[/tex]
[tex]c = 714 / 0.9781 = 730\ cm[/tex]
another question I need help ! answer ASAP please .
Answer:
35
Step-by-step explanation:
Since we know the amounts of each vitamin per serving all we have to do is find the difference.
We do this by subtracting 90 from 125.
125 - 90 = 35
The square root of 52 is between which two consecutive Integers?
26 and 27
25 and 26
07 and 8
8 and 9
Jamal traveled 80 miles in 1 1/4 hours. Which expression gives Jamal's speed in miles per hour?
Answer:
64 mph
Step-by-step explanation:
80 divided by 1.25 equals 64
1.25 is the decimal version of 1 and 1/4
Answer:
80/ 1 1/4
Step-by-step explanation:
Also CALM DOWN JAMAL DONT PULL OUT THE 9
Evaluate: (-2/3*3/4) -1
Answer:
[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]
[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]
[tex] = \frac{ + 2}{4} [/tex]
[tex] = + \frac{1}{2} [/tex]
Here's your answer girlfriend
Please follow me
If the temperature is 3 °C and it drops by 12 °C. What is the new temperature?
Answer:
-9 degrees
Step-by-step explanation:
According to integer rules, the question involving subtraction. We form the statement: 3 - 12
Here, to make it simply, we do normal subtraction (12 - 3) and we add a negative sign.
Hope it helps and please mark as the brainliest
10. The diagram on the right shows the growth of a type of cell. nx4
It is given that on the first day, there are four cells. On the
second day, each cell produces three cells. On the following n
day, each new cell produces another three new cells. The
process of producing new cells repeats at the same rate.
(b)calculate the total number of cells on the fifth day
i would answer you're question. i'm trying to work it out but i'm not really understanding it. :(
Please help me with this maths homework
Answer:
The transformation is
reflection in the x axis
That's ( x , - y)
Hope this helps.
Convert 100 days to weeks and days
Answer:
14 weeks and 2 days.
Step-by-step explanation:
Divide 100 days by 7, because there are 7 days in 1 week.
100/7 = 14.2857
0.285714 = 2/7
The answer is 14 weeks and 2 days.
Answer:
there are 100 days
there are 7 days in a week so we divide the days by 7
100days/7days
14.2weeks≈14 weeks are there in 100days
Step-by-step explanation:
i hope this will help you :)
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
What is an equivalent equation solved for y2?
Answer:
y2 = m(x2-x1)+y1
Step-by-step explanation:
Given the formula for finding the slope of a linear equation to be;
m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)
To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:
m = y2-y1/x2-x1
Cross multiplying
m(x2-x1) = y2-y1
mx2-mx1 = y2-y1
Adding y1 to both sides of the equation we have;
mx2-mx1 + y1= y2-y1+y1
y2 = mx2-mx1 + y1
y2 = m(x2-x1)+y1
This gives the resulting equation to solve for y2
Answer:
c
Step-by-step explanation:
edg