Step-by-step explanation:
21 ≤ -3(x − 4) < 30
=> devided by (-3)
-7 ≥ x-4 > -10
=> added by 4
-3 ≥ x > -6
the result : -6 < x ≤ -3 (option C)
Find the 10th term of the geometric sequence 8,-16,32
Answer:
4096
GP = {8 , 16 , 32 , 64 , 128 , 256 , 512 , 1024 , 2048 , 4096...} Therefore , the 10th term of the sequence is 4096.
I hope it help you
The required 10th term of the geometric sequence 8, -16, 32 is -4,096.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
To find the 10th term of the geometric sequence 8, -16, 32, we first need to determine the common ratio (r) between consecutive terms.
r = (second term) / (first term) = (-16) / 8 = -2
So the common ratio is -2.
The nth term of a geometric sequence is given by the formula:
[tex]a_n = a_1 * r^{(n-1)}[/tex]
where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, r is the common ratio, and n is the term number.
To find the 10th term, we plug in a1 = 8, r = -2, and n = 10:
[tex]a_{10} = 8 * (-2)^{(10-1)}a10 = 8 * (-2)^9a_{10} = 8 * (-512)a_{10} = -4,096[/tex]
Therefore, the 10th term of the geometric sequence 8, -16, 32 is -4,096.
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Does anyone know how to calculate 4 to the -3 power?
Answer:
Step-by-step explanation:
4^(-3) = 1/4^3 = 1/(4*4*4) = 1/64
which can also be written as 1/(2^6)
depending on your answer options.
Answer:
0.015625
Step-by-step explanation:
4^-3 = 0.015625
Please help me with this algebra 2 , its the very last question on the picture
Answer:
150
Step-by-step explanation:
t = sqrt((4π^2mr)/F)
Plug in the given values.
12 = sqrt((4(3.14^2)(84.4)(6.5))/F)
Solve for F.
12 = sqrt(21635.90624/F)
144 = 21635.90624/F
F = 150.249
Compute the measures of spread for the data collected for boys and girls. Describe their differences in detail using specific terms of spread.
Answer: HI There I think that I can help You!
Girls:
Range:66
Lower Quartile: 22
Upper Quartile: 56
IQ Range: 34
Mean Absolute Deviation: 19.4
Boys:
Range: 75
Lower Quartile: 12
Upper Quartile: 45
IQ Range: 33
Mean Absolute Deviation: 20.8
Step-by-step explanation:
Answer:
give my guy that brainliest
Step-by-step explanation:
(7x2 + 8x – 4) – (6x2 + 8x – 6)
Answer:
x² + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(7x² + 8x - 4) - (6x² + 8x - 6)
Step 2: Simplify
[Distributive Property] Distribute negative: 7x² + 8x - 4 - 6x² - 8x + 6[Subtraction] Combine like terms (x²): x² + 8x - 4 - 8x + 6[Subtraction] Combine like terms (x): x² - 4 + 6[Addition] Combine like terms: x² + 2Answer:
x ² + 2
Step-by-step explanation:
7 x² + 8 x - 4 - 6 x² + 8 x - 6
combine like terms
7 x² - 6 x² + 8 x - 8 x - 4 + 6
x² - 4 + 6
x ² + 2
please help me with the correct answer
Answer:
1i)-7 ii)15 iii)-17 iv)8 v)5
2i)5 ii)-34 iii)-82 iv)1 v)0
Step-by-step explanation:
The numerator is the number on the top of a fraction
The denominator is the numer on the bottom of the faction.
Answer:
Step-by-step explanation:
1. Numerator
(i) (-7)/5 = -7
(ii) 15/(-4) = 15
(iii) (-17)/(-21) = 17/21 = 17
(iv) 8/9 = 8
(v) 5 = 5/1 = 5
2. Denominator
(I) (-4)/5 = 5
(ii) (11)/(-34) = -34
(iii) (-15)/(-82) = (15/82) = 82
(iv) 15 = 15/ 1 = 1
(v) 0 = 0/1 = 1
[tex]3. \ \frac{(-3) \times 4}{7} \ , \ \frac{(34-23) \times (7-4)}{11}[/tex]
4. Rational numbers as integers
(17)/1 = 17
(-23)/1 = -23
35/1 = 35
(-77)/1 = -77
91/1 = 91
Instructions: find the missing side. Round your answer to the nearest tenth.
Answer:
10.9
Step-by-step explanation:
cos(57)(20)
1⁄2 × 1⁄5 =
help//.....
Answer:
1/10
Step-by-step explanation:
1/2 * 1/5
Multiply the numerators
1*1 = 1
Multiply the denominators
2*5 =10
Numerator over denominator
1/10
Answer:
1/10
Step-by-step explanation:
multiply the numerators and denominators separately
1×1/2×5
any expression multiplied by 1 remains the same
1/2×5
2×5=10
1×1=1
1/10
Jane has a package of 40 cards: 30 of the cards are red, and 10 of the cards are
black. If Jane randomly picks 8 cards, how many cards should she expect to be red.
Consider these statements.
1. AB and AC are two sides of AABC and AB = AC
2. If two sides of a triangle are congruent, then the triangle is an
isosceles triangle.
Which conclusion can be drawn from these statements using
deductive reasoning?
A
m2ABC + m2ACB 90
B
AABC is an isosceles triangle.
с
Points A, B, and C are collinear.
BC = AC
Answer:
B
Step-by-step explanation:
if we match the two informations we can say that the triangle is isosceles
A solid sphere is cut into 4 equal wedges the volume of each wedge is v=1/3r3 solve the volume for r
Answer:
r = (3V/π)^1/3
Step-by-step explanation:
Given that :
Volume of a sphere = V = 4/3πr³
Dividing into 4
4/3 * 1/4 πr³ = 4/12πr³ = 1/3πr³
V = 1/3πr³
Cross multiply
3V = πr³
Divide both sides by π
3V/ π = πr³/ π
3V/ π = r³
Take the cube root of both sides
r = (3V/π)^1/3
If there are 32 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Please i need an answer please!
3.(09.01 MC)
Henry rolls 2 number cubes numbered 1 through 6 while playing his favorite board game. He will get a second turn if he rolls a sum that is an even number less than 10.
What are Henry's chances of getting a second turn when he rolls the number cubes? (2 points)
Answer:
Step-by-step explanation:
The even numbers less than 10 are
2 which can only be done 1 way: when you roll snake eyes.
4 can be done 3 ways (2,2) (3,1) and (1, 3)
6 can be done 5 ways (2,4) (4,2) (5,1) (1,5) and (3,3)
8 can be done 5 ways (4,4) (2,6)(6,2)(5,3) and (3, 5)
There are 36 ways of throwing the number cubes.
We have a total of 5 + 5 + 3 + 1 = 14 ways
The answer you want is
14/36 = 7 / 18 = 0.389
I need help I will give brainliest
Answer:
Step-by-step explanation:
5). Triangle DEF is an equilateral triangle.
Therefore, measure of all sides and the angles of the triangle will be equal.
DE = EF = DF = 5.2 ft
3y + 1 = 5.2
3y = 5.2 - 1
3y = 4.2
y = 1.4
Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]
(5x)° = 60°
x = [tex]\frac{60}{5}[/tex]
x = 12
6). Property to be used in ΔFGH,
"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"
FG = GH
3y = 12.9
y = 4.3
m∠F = m∠H
4x = 44
x = 11
Please help me with this question I don’t need an explanation either I will give brainliest
Answer:
(1) 25
Step-by-step explanation:
a1 => 121 =11²
10
9
a3=>64= 8²
7
6
a5=>25= 5²
Angle relationships with parallel lines
Answer:
85 degree
Step-by-step explanation:
The angle vertically opposite to 85 be y
y = 85 (since V.O.A are equal)
Then x and y are corresponding angles
x = 85 (since corresponding angles are equal)
Hope u understand
Please mark as brainliest
Thnk You
Which type of variation is modeled in the table?
joint
combined
direct
Inverse
Answer: inverse
Step-by-step explanation: inverse is the relationship between the variables in the table a direct variation.
Jin sells concert tickets at the theater box office. The ratio of student tickets to adult tickets sold is 4 : 5. Each student ticket costs $5, and each adult ticket costs $7. Jin sells 189 tickets altogether. Part A: How many student tickets does Jin sell? How many adult tickets? Explain your reasoning. Part B: How much more money does Jin receive from selling adult tickets than from selling student tickets? Explain your reasoning
Answer:
Part A: 84, 105
Part B: $315
Step-by-step explanation:
Part A:
4 student tickets + 5 adult ticekts = 9 tickets
The ratio of student tickets to adult tickets to total tickets is
4 : 5 : 9
He sold x times more tickets than the numbers on the ratio.
He sold 9x tickets.
9x = 189
x = 21
Student tickets:
4x = 4(21) = 84
He sold 84 student tickets.
Adult tickets:
5x = 5(21) = 105
He sold 105 adult tickets.
Part B:
Student tickets:
He sold 84 student tickets at $5 each.
The amount of money from the sale of student tickets is:
84 * $5 = $420
Adult tickets:
He sold 105 adult tickets at $7 each.
The amount of money from the sale of adult tickets is:
105 * $7 = $735
Difference:
$735 - $420 = $315
84 student tickets, 105 adult tickets were sold by Jin and $315 more money does Jin receive from selling adult tickets than from selling student tickets
What is Equation?Two or more expressions with an Equal sign is called as Equation
The ratio of student tickets to adult tickets sold is 4 : 5
4 student tickets + 5 adult ticekts = 189
4x+5x=189
9x = 189
Divide both sides by 9
x = 21
The number of Student tickets:
4x = 4(21) = 84
Jin sold 84 student tickets.
Adult tickets:
5x = 5(21) = 105
Jin sold 105 adult tickets.
Part B:
He sold 84 student tickets at $5 each.
The amount of money from the sale of student tickets is:
84 * $5 = $420
Adult tickets:
He sold 105 adult tickets at $7 each.
The amount of money from the sale of adult tickets is:
105 * $7 = $735
Difference:
$735 - $420 = $315
Hence 84 student tickets, 105 adult tickets were sold by Jin and $315 more money does Jin receive from selling adult tickets than from selling student tickets
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7.
Find the value of x. If necessary, round to the nearest tenth.
A. 8.8 in.
B. 10.4 in.
C. 5.2 in.
D. 7.3 in.
Answer:
C. 5.2
Step-by-step explanation:
5.2
Answer:
C. 5.2
Step-by-step explanation:
On a math test, a group of children scored 25, 17, 21, 25, 23, 21, 27, 21, and 18 out of a total of 30. Find their median.
Answer:
21
Step-by-step explanation:
Place the values in ascending order like this:
17,18,21,21,21,23,25,25,27
Find the middle value:
21
So 21 is the median
HELP!!!! In Ottawa you can ride on a tour bus for a fixed price plus a variable amount that depends on the length of the trip. the variable cost is $2/km and 20km trip cost $55
Determine the equation relating cost, C, in dollars, and distance, d, in kilometers.
Answer:
C = 2d + 15
Step-by-step explanation:
$2 per km, so $40 for 20km.
55-40 is 15 so $15 is a fixed price.
Hence, C = 2d + 15
The instruction booklet for a DVD
player says that the player uses about
0.4 kilowatt of electricity per hour. If
electricity costs $0.20 per kilowatt hour,
how much does it cost to run the player
for an hour?
Answer:
$.08
Step-by-step explanation:
it takes 0.4 per hour and it costs $0.20 per hour so you multiply the two numbers together.
0.4 x 0.20 = $.08
Type the number in scientific notation
97,040,000
PLSSS HELP IM FAILING
Find the slope of the line that passes through the pair of points
(3,-3), (3,-4)
A undefined
B 0
C -7/6
D -6/7
Answer:
undefined
Step-by-step explanation:
To find the slope through 2 points
m = ( y2-y1)/(x2-x1)
= ( -4 - -3)/(3 - 3)
= ( -4+3)/(3-3)
= -1/0
Since it is a number divided by zero, the slope is undefined
I have no idei hellppppp
Answer:
Step-by-step explanation:
(1/2)*x+4=-8
x+4/2=-8
x+4=-8*2
x+4=-16
x=-16-4
x=-20
Answer:
x = -20
Step-by-step explanation:
1/2(x + 4) = -8
1/2x + 2 = -8
1/2x = -10
x = -10(2)
x = -20
Hope this helps!
HELP PLS ITS A TEST
Fill in the chart below to show all possible outcomes for flipping a coin and rolling
a die.
1
2
3
4
5
6
H
т
Answer:
1/12 for each column
Step-by-step explanation:
2 (coin sides) times 6 (die sides) = 12
The scatterplot shows the time it takes for a new hot plate to boil various amounts of water, and one lab group’s attempt at a line of best fit.
A graph shows water (cups) labeled 1 to 9 on the horizontal axis and time (minutes) on the vertical axis. A line increases from 1 to 8.
What feedback should another lab group give during a peer review of the work?
The line of best fit is reasonable because it does not go through any points.
The line of best fit is reasonable because it goes through the largest cluster of points.
The line of best fit is not reasonable because it does not go through any points.
The line of best fit is not reasonable because it has more points below it than above it.
Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
did it on edge
Match the corresponding sides.
Solve for x. Round to the nearest tenth. Please asap.
Answer:
x = 73
Step-by-step explanation:
Δ ABC and Δ DEF are congruent, same 3 angles in the same position in both triangles, so
Corresponding sides will be congruent, that is
x = ED = BA = 73
320, 305, 308, 340, 345,
315, 330, 315, 330, 318, 325 the mode median
Answer:
mode= 315, 330
median=320
Step-by-step explanation: