Answer:
a₇ = 2.375
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = [tex]\frac{-76}{152}[/tex] = [tex]\frac{38}{-76}[/tex] = [tex]\frac{-19}{38}[/tex] = - [tex]\frac{1}{2}[/tex]
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 152 and r = - [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 152 [tex](-\frac{1}{2}) ^{n-1}[/tex] , so
a₇ = 152 [tex](-\frac{1}{2}) ^{6}[/tex] = 152 × [tex]\frac{1}{64}[/tex] = 2.375
Answer:
Solution given:
first term [a]=152
second term[b]=-76
common ratio[r]=[tex] \frac{-76}{152}[/tex]=-1/2
now
for nth term ,we have
nth term =a [tex] {r}^{n -1} [/tex]
now
7th term==152[tex] {-1/2}^{7 - 1} [/tex]
=152×1/64=19/8
If you spin the spinner two times, how many possible outcomes are there?
Answer:
1 Answer. The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.
Step-by-step explanation:
WILL MARK BRAINLIEST IF RIGHT !
A car rental company offers two plans for renting a car
Plan A: 30 dollars per day and 12 cents per mile
Plan B: 50 dollars per day with free unlimited mileage
Answer:
Here you go
Step-by-step explanation:
7. Which expression is equivalent to 3-4.3^6?
What’s the answer?!!!!!
Answer:
yes
because it has length, side and base
Answer:
No
Step-by-step explanation:
If it is a right angled triangle, then it will satisfy the pythagoras theorem, which is as follows:
Perpendicular² + Base² = Hypotenuse²
{hypotenuse is the longest side in a right-angled triangle}
LHS : Perpendicular² + Base²
(15)² + (10)² = 225 + 100 = 325
RHS : Hypotenuse²
(17)² = 289
LHS ≠ RHS
Does not satisfy pythagoras theorem
So the triangle is not right angled
4. Two consecutive even numbers are such that the sum of the larger number and three times the smaller number is 42. Find the two numbers.
Answer: The two numbers are 10 and 12.
Step-by-step explanation:
Let the two consecutive numbers are x and x +2.
As per given, we have
[tex](x+2)+3x=42\\\\\Rightarrow\ 4x+2=42\\\\\Rightarrow\ 4x=40\\\\\Rightarrow\ x=10[/tex]
Smaller number = 10
Larger number = 10+2=12
Therefore, The two numbers are 10 and 12.
Find the indicated probability
The probability that Luis will pass his statistics test is 0.4. Find the probability that he will not pass his statistics test
O A. 20.00
OB. 2.50
O C. 0.6
OD. 66.67
Answer:
C. 0.6
Step-by-step explanation:
If the probability of him passing is 0.4 then thats a 40% chance. But they're asking the probability of him failing so 100%-40%= 60%
60% = 0.6 in this scenario.
There is a 0.6 chance he will fail.
2x + 1 = 7 solve the equation
pls help me im stuck on this question
Answer:
x = 3
Step-by-step explanation:
Brainliest Please!
Answer:
[tex]2x + 1 = 7 \\ 2x = 7 - 1 \\ 2x = 6 \\ x = \frac{6}{2} \\ x = 3[/tex]
betty saves 161 a month she saves 141 less than jack how much will jack save in two years
Answer:its 20
Step-by-step explanation:
because it is
Answer:
7248 A year
Step-by-step explanation:
Since the question was poorly described, i can only assume that Jack saves 141 more than betty and since the question didn't have any units i can't safely assume that 161 is (money)
Compare the values of the digit 8 in the number 6,084 and in the number 9,821
Answer:
Step-by-step explanation:
The eight in 6,084 is in the tenths place. Separately, it would be 80. The 8 in 9,821 is in the hundredths place. This one is worth 800. So the 8 in 9,821 is greater than the 8 in 6,084.
PLEASE HELP!! 30 points :)
What's the volume of a cube with a side length of 11 inches
• 33 in
• 121 in
• 726 in
• 1331 in
Answer:
V= 1331in³
Step-by-step explanation:
Answer:
1331 in
Step-by-step explanation:
CAN SOMEBODY PLEASE HELP ME!!! I WILL GIVE BRAINLY
Answer:
the angles are all the same
Step-by-step explanation:
that means they are sim
Answer:
BA is congruent to ZY
BC is congruent to ZX
Step-by-step explanation:
Since they are similar we can see that they have congruent parts due to there similarity
What is the additive inverse of (- 2) ?
Answer:
2 because it holds the same value as -2 and its the additive inverse
Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 1 software package and 1 month of game play. Each software package costs $30. If their total cost is $170, what is the cost of one month of game play?
Answer:
$20
Step-by-step explanation:
Kenny's gameplay: 1 month
Angie's gameplay: 3 months
1+3= 4
Kenny bought 1 software pack
Angie bought 2 software packs
1+2= 3
Each software package= $30
So 30×3= 90
Total cost= $170
170-90= 80
80÷4= $20
There you go :)
Marcus investigates businesses to see how much product they need to sell to make a profit. At a cupcake company, Marcus wants to figure out the minimum number of cupcakes they need to sell each week to make a profit.
It costs 35 cents in supplies to make each cupcake.
His rent, electricity and labor costs for his store each week is $1850.00.
He sells each cupcake for $5.50.
What is the minimum number of cupcakes needed to make a profit?
337
359
360
5286
Answer:
360
Step-by-step explanation:
0.6c+2.5=3.22 solve for c
A line passes through the points (6, 2) and (5, 0). What is its equation in slope-intercept form?
Answer:
y = 2x - 10
Step-by-step explanation:
y2 - y1/ x2 - x1
0 - 2 / 5 - 6
= 2
y = 2x + b
2 = 2(6) +b
2 = 12 + b
-10 = b
The equation is y = 2x - 10
Add the following lengths: 4' 9" + 7" =
Answer:
Your answer to this question is 16
Find the area of the object
Answer:
2π + 24 m² = 30.3 m²(3 s.f.)
Step-by-step explanation:
Area of rectangle: l x w
6 x 4 = 24 m²
Area of semicircle: πr²/2
r = 4/2 = 2
π x 2² / 2
4π / 2
2π
Total area: 2π + 24 m² = 30.3 (3 s.f.)
What is the missing step in this proof
Kedir bout 200 eggs for Birr 50 Birr and sells them for Birr 0.30 each.
Did he get profit? If so find his profit percent. Step
Answer:
Yes, Kedir made profit.
Step-by-step explanation:
0.30 x 200 = 60 Birr
60 Birr is more than 50 Birr
He made profit of 10Birr, which is 20% of 50 Birr
what is the slope of the line?
What is the y-intercept?
Write the equation of the line?
Answer:
The slope is 2
The y-intercept is 3
The equation is y = 2x +3
Step-by-step explanation:
The equation goes up 2 squares and over 1 square. 2/1 = 2
For y-intercept, look at the y-axis
The equation is supposed to be written as y = mx + b
m being the slope and b being the y-intercept.
can you help me with this,please?
Answer:
-5/9
Step-by-step explanation:
-4/9 - 1/9 = -5/9
I need help please. I been here for 15 minutes.
Answer:
22
Step-by-step explanation:
first i would find out the radius and then deviede byt that
i’ll mark branliest plzzz answer
Answer:
AB = 10 m
Step-by-step explanation:
Given that <ACB = <ECD, then triangles ABC and EDC are similar.
Let the height of the solar panel (AB) be represented by x. Thus by comparing the triangles, we have;
[tex]\frac{x}{6}[/tex] = [tex]\frac{45}{75}[/tex]
45x = 6 x 75
45x = 450
x = [tex]\frac{450}{45}[/tex]
x = 10
The height of the solar panel is determined to be 10 m.
Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle
Answer:
Quadrilateral MATH is a rectangle
Step-by-step explanation:
Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle
A rectangle is a quadrilateral whose opposite sides have the same lengths and are parallel.
We solve the above question using the formula below to find the length of its sides
= √(x2 - x1)² + (y2 - y1)² when we are given vertices(x1, y1) and (x2, y2)
For side MA
M (-4,-1) A(-3,2)
√(-3 - (-4))² + (2 - (-1))²
= √1² + 3²
= √1 + 9
= √10 units
For side AT
A(-3,2). T(3, 0)
√(3 - (-3))² + (0 - 2)²
= √6² + -2²
= √36 + 4
= √ 40 units
For side TH
T(3, 0), H(2, -3)
√(2 - 3)² + (-3 - 0)²
√-1² + -3²
= √1 + 9
= √10 units
For side MH
M (-4,-1) H(2, -3)
√(2 - (-4))² + (-3 - (-1))²
= √6² + 2²
= √36 + 4
= √40 units
From the above calculation, we can see that
Side MA = Side TH = √10 units
Side AT = Side MH = √40 units
Opposite sides are parallel to each other, hence quadrilateral MATH is a rectangle
What does 730 dived by 2 over the power of 9 then multiply all by 7, then divided eveything by 36 cubed.? Can anyone help?
Nosse pa jajjsja sajs f pa nel bro
Answer:
[tex]\frac{67073747877258500000000}{3}[/tex] = 2.24 × 10²²
Step-by-step explanation:
[tex]\frac{(\frac{730}{2})^9*7}{36}[/tex] :
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
[tex]\frac{67073747877258500000000}{3}[/tex]
Decimal Form:
2.23579159 × 10²² ≈ 2.24 × 10²²
What is the solution to the equation 4 + 3/2y = 6?
y = 1
y=4
y = 500
y = 2000
Answer:
y=4/3
Step-by-step explanation:
First subtract 4
3/2y=2 then Divide by 3/2(or multiply by 2/3)
2*2/3
Answer: y=4
Step-by-step explanation:
find the radius, diameter, circumference, and area of this circle.
Answer:
Area of circle = 28.28 unit²
Radius of circle from center point = 3 units
Diameter of given circle = 6 units
Circumference of circle = 18.85 unit
Step-by-step explanation:
Given:
Circle in third quadrant
Radius of circle from center point = 3 units
Diameter of a circle = 2 x Radius of circle
Diameter of given circle = 2 x Radius of circle from center point
Diameter of given circle = 2 x 3 units
Diameter of given circle = 6 units
Circumference of circle = 2πr
Circumference of circle = 2(22/7)(3)
Circumference of circle = 18.85 unit
Area of circle = πr²
Area of circle = (22/7)(3)²
Area of circle = 28.28 unit²
PLEASE PLEASE HELP!!
For problems 11 and 12, find the area of the figure. Round your answer to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
11)
A= (B x H)/2
A= (2.9x3.2)/2= 4.64cm²
12)
A= (B+b)H /2
A= (12+10)5.6 /2 = 61.6in
Answer:
I think that the answer might be 9.30 for the first one and the second one I think is 670.
Step-by-step explanation:
To find the area, you have to multiply the height and width for the two figures.
3.2 × 2.9 = 9.28
12 × 10 × 5.6 = 672
I think you round those to the nearest tenth. 9.28 would be 9.30 and 672 would be 670. I hope this answers your question.
Consider the two solids shown.
What is the difference between the number of vertices of the two sides
Answer:
C. six
Step-by-step explanation:
A hexagonal prism has 18 edges and a hexagonal pyramid has 12 edges, therefore the difference between the number of edges of the two solids is six (6) because 18-12 is 6.
The word "difference" infers that we need to subtract numbers in order to find how many are left.