Answer:
a(7) = -0.4
Step-by-step explanation:
The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio. In this problem, a(1) = -6250. To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.
Then the formula for THIS geometric progression is
a(n) = -6250*(-0.2)^(n - 1).
Thus, the 7th term of THIS progression is
a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4
Answer:
a₇ = - [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The nth term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]
Rob's family consumed two gallons of orange juice each week? How many quarts of juice does Rob's family consume?
Answer:
8 quarts for one week. NOW if we're talking about for like four weeks its 36 quarts
Step-by-step explanation:
If it's for more weeks just multiply by how much weeks it is Hope that helped
A polynomial function has zeros -1, 2, and 7 (all multiplicity 1). Write a function in standard form that could represent this function.
Answer:
x^3-8x^2+5x+14
Step-by-step explanation:
(x+1)(x-2)(x-7)
x^3-8x^2+5x+14
Draw the following triangle after a 90° clockwise rotation about the origin.
Answer:
Its gonna be in the same spot but just on the left
Step-by-step explanation:
The graph is attached with the solution
What is rotation?Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.
The coordinates of the vertices of the given triangle are (3,-2), (1,-5), and (5,-4).
The coordinate rule for 90° clockwise rotation about the origin is:
(x,y)→(y,-x)
Therefore, the vertices of the triangle are transformed as follows:
(3,-2) → (-2, -3)
(1,-5) → (-5,-1)
(5,-4) → (-4,-5)
Now, plot the image points (-2,-3), (-5,-1), and (-4,-5) and connect them to draw the required triangle.
The graph is attached with the solution.
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Joey had 26 game cards. His friend Richard gave him some more, and now Joey has 100 cards. How many cards did Richard give to Joey?
Given:
Joey had 26 game cards.
His friend Richard gave him some more, and now Joey has 100 cards.
To find:
How many cards did Richard give to Joey?
Solution:
Let x be the number of cards that Richard give to Joey.
Joey had 26 game cards.
Now, the total cards joey has [tex]=26+x[/tex]
Joey has total 100 cards.
[tex]26+x=100[/tex]
[tex]x=100-26[/tex]
[tex]x=74[/tex]
Therefore, Richard gave him 74 cards.
I need a little help here please
Answer:
ughhh i think c im not so sure though
Step-by-step explanation:
Evaluate 2^x - 2 for (a) x = -2 and (b) x = 3
Step-by-step explanation:
[tex] {2}^{x - 2} = \\ {2}^{0 } = 1[/tex]
[tex] {2}^{x - 2} = {2}^{1} = 2[/tex]
2. A kitten is gaining 0.6 pounds per week. The kitten is currently seven pounds. After how many weeks will the kitten be at least 10 pounds?
Answer:
Here is the answer
Step-by-step explanation:
The kitten weighs_____pounds every week -0.6 pounds
Weight of the kitten at current time -7 pounds
Weeks it will take for the kitten to reach 10 pounds -0.6+7=7.6
now round it off and you will get 7
∴the kitten will take 7 more weeks for getting to 10 pounds
The kitten will be at least 10 pounds after 5 weeks. Let's set up an equation to solve for the number of weeks needed for the kitten to reach at least 10 pounds.
Let "w" represent the number of weeks.
The weight of the kitten after "w" weeks can be calculated as:
Weight = Initial weight + (Weight gained per week * Number of weeks)
Weight = 7 + (0.6 * w)
We want to find the number of weeks when the weight is at least 10 pounds:Weight ≥ 10
Substituting the equation for weight:
7 + (0.6 * w) ≥ 10
Subtracting 7 from both sides:
0.6 * w ≥ 3
Dividing both sides by 0.6:
w ≥ 3 / 0.6
w ≥ 5
Therefore, the kitten will be at least 10 pounds after 5 weeks.
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PLZ HELP!! NO SNEAKY LINK OR NON- ANSWERES!!!! IM TIMED HELP ME GUYS!!!!!
Answer:
top right :3
Step-by-step explanation:
Marcus had to get dressed quickly for school. He had two pairs of pants, two shirts, two ties, and two jackets to choose from. If he randomly chose one of each type of clothing item how many different outcomes were possible. a.4 b.16 c.32
please help having a bad day:/
plss help me in this
Answer: Hello, my name is woods 245. And I'm here to answer your question.
So what do you need with and I will help you with it.
Step-by-step explanation:
Answer:
[tex]3+\sqrt{3}[/tex] , [tex]5\sqrt{5}[/tex], [tex]2\sqrt{2}[/tex], and [tex]18 -2\sqrt{2}[/tex]
Step-by-Step Explanation:
1)
[tex]\sqrt{3}(\sqrt{3}+1)[/tex]
Distribute the square root:
[tex]\sqrt{9}+\sqrt{3}[/tex]
[tex]3+\sqrt{3}[/tex]
2)
[tex](\sqrt{5} )(\sqrt{5} )(\sqrt{5} )[/tex]
[tex]\sqrt{(5)(5)(5)}[/tex]
[tex]\sqrt{(25)(5)}[/tex]
[tex](\sqrt{25}) (\sqrt{5)}[/tex]
[tex]5\sqrt{5}[/tex]
3)
[tex](\sqrt{2} )(\sqrt{2} )(\sqrt{2} )[/tex]
[tex]\sqrt{(2)(2)(2)}[/tex]
[tex]\sqrt{(4)(2)}[/tex]
[tex](\sqrt{4}) (\sqrt{2)}[/tex]
[tex]2\sqrt{2}[/tex]
4)
[tex](3\sqrt{2})^{2} -2\sqrt{2}[/tex]
[tex](9)(2) -2\sqrt{2}[/tex]
[tex]18 -2\sqrt{2}[/tex]
If you need it factored:
[tex]2(9-\sqrt{2})[/tex]
Keep in mind that square roots can be positive or negative.
If the probability that the Islanders will beat the Rangers in a game is 49%, what is the probability that the Islanders will win at most one out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.
ANSWER IS 0.069
What is the slope of the line shown on the grid?
Find the measure of arc DB in circle P
Answer:
your answer will be 90°
Step-by-step explanation:
hope it helps
have a great day!!!
Consider the following pair of equations:
-X - y = -5
y = x + 1
If the two equations are graphed, at what point do the
lines representing the two equations intersect? (4 points)
O (-2,3)
O (3,-2)
O (3, 2)
(23)
HELP ASAP
Answer:
Yeah i don't get it i have the same problem
Answer:
It is not (−2,3).
Step-by-step explanation:
i’m confused with this
Answer:
volume = 157 units³
Step-by-step explanation:
volume = 1/3πr²h
volume = 1/3(3.14)(5²)(6) = 157 units³
A group of four friends has a bake sale to earn money.
They sell 8 bags of cookies for $5 each.
Let n represent the amount of money each friend earned.
Which equation could be used to find the amount of money each friend earned
A.n = 4 × 8 × 4
B.n = 8 × 5 ÷ 4
C.n = 8 × 5 × 4
D.n = 4 × 8 ÷ 5
Answer:
It would be B
Step-by-step explanation:
8 x 5 = 40
40/4 = 10
Hope that helps!
2 1/4 feet =______ inches
Answer:
27 in
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Points g and h are located at (15,7) and (-9,7) on the coordinate plane. What is the distance between the 2 -oints
Answer:
24 unit
Step-by-step explanation:
From the question,
The 2 points is given as g (15,7) and h (-9,7)
The distance between two point is given as
d = √[(x₂-x₁)²+(y₂-y₁)²]...........................
Given: x₂ = -9, x₁ = 15, y₂ = 7, y₁ = 7
Substitute these values into equation 1
d = √[(-9-15)²+(7-7)²]
d = √[(-24)²+(0)²]
d = √576
d = 24 unit.
Diana is recording what kind of shoes people are wearing at the mall. Out of the 12 people she has seen, 2 are wearing high heels. What is the experimental probability that the next person Diana sees will be wearing high heels?
Write your answer as a fraction or whole number.
Answer:
8/12
Step-by-step explanation:
A rectangular prism has the dimensions 5 cm by 12 cm by 13 cm.
What is the length of diagonal PQ? Round to the nearest hundredth.
GUYS I NEED THIS FAST PLS
Answer:
13.93 cm
Step-by-step explanation:
Given data
We have the
length = 5cm
Width = 12cm
Height= 13cm
The diagonal can be gotten by applying the Pythagoras Theorem using the Length and the Height
D^2= 5^2+13^2
D^2= 25+169
D^2= 169
D= √194
D= 13.928 cm
Hence the diagonal is 13.93 cm
help please!!!!!!!!!!!!
Answer:22.5
Step-by-step explanation:
Please help me quickly with this guys it’s 2:43pm and it’s due at 3pm
Answer:
The slope is -1 and the y-intercept is 2.
Step-by-step explanation:
Since it is -x, the only way is if -1 and x were multiplied together. The Slope-Intercept Form is y = mx + b
Analyze this equation.
3 (x + 2) = 5x + 8
What is the value of x ?
A. -3
B. -1
C. 1
D. 3
Answer:
=−1
Step-by-step explanation:
1. Distribute
2.Subtract 6 from both sides of the equation
3.Simplify
4.Subtract 5x from both sides of the equation
5.Simplify
6.Divide both sides of the equation by the same term
7.Simplify
so the answer is =−1
Which equation best represents the axis of symmetry?
A y = 6
B X = 2
C y = 4
D x = 0
Find x. Help.............
Answer:
X =33
Step-by-step explanation:
6x-18=180
6x = 198
X = 33
1)
3 m
+
The net for a cube is shown. Find the surface area of the cube.
18 m2
B)
36 m2
09
54 m2
D)
81 m2
Answer:
Step-by-step explanation:
Area of one face = 3×3 = 9 m²
A cube had six faces, so surface area of cube = 6×9 = 54 m²
HELP DUE IN 15 MINS! Pythagorean Theorem, Leave answers as simplified radicals, integers, or simplified fractions. No decimals.
- If you need to put a square root in your answer, then type the letters sqrt.
x=??
Answer:
x² + 8² = 14²x² + 64 = 196x² = 196 - 64x² = 132x = √132or
x = 2√33You can add whichever is accepted by the program
Step-by-step explanation:
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
14²=8²+x²
x²=14²-8²
x=√132=2√33 unit is your answer
Use synthetic division and the given factor to completely factor the polynomial function.
(x^3+x^2-10x+8)/(x-1)
Step-by-step explanation:
at first we do synthetic division then we do middle term factorisation
11.) For a baseball player, a 0.700 batting average means the
player gets a hit 7 times out of every 10 times at bat. Which
stimulations would appropriately generate outcomes to stimulate
a batting average of 0.700 Select all that apply.
a.) Put 3 blue marbles and 7 red marbles in a bag.
Select one at random. Selecting red represents a hit.
b.) Roll a standard 10-sided die Rolling a 1, 2, or 3
represents a hit.
c) Use a deck of cards with all 4 suits: hearts
diamond, spades, and clubs. Each suit has 13 cards
Select one card at random. Selecting a heart,
diamond, or spade represents a hit.
d.) Flipping a coin 10 times. The coin landing heads up
represents a hit.
Answer:
b is the answer
Step-by-step explanation:
you know this because you a ratio 10:7 also equal to .700 is what it is looking for now a 10 side has 10 side 10-3 is 7 so the ratio would be 10:7 .700
hope this helped if it did please crown me
A) 7 red out of 10 total would be 7 out of 10 = 7/10 = 0.7.
This would be the same as the baseball player.
B. 3 numbers out of 10 would be 0.3 this is not the same.
C. 1 suit out of 4 would be 0.25, this is not the same.
D. A coin has a 0.5 chance of landing in beads. This would not the the same.
The only true answer is A.
Quadrilateral ABCD is inscribed In a circle.
What is the measure of angle A?
Answer:
[tex] m\angle A = 133\degree [/tex]
Step-by-step explanation:
Quadrilateral ABCD is inscribed In a circle.
So, ABCD is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
(4x + 5)° + (x + 15)° = 180°
(4x + 5 + x + 15)° = 180°
(5x + 20)° = 180°
5x + 20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32
[tex] m\angle A = (4x + 5)\degree [/tex]
[tex] m\angle A = (4\times 32+ 5)\degree [/tex]
[tex] m\angle A = (128+ 5)\degree [/tex]
[tex] m\angle A = 133\degree [/tex]