Answer:
the 6th term is = -0.16384
Step-by-step explanation:
Notice this is a geometric sequence with first term 16, and common ratio (-0.4)
Therefore the first 6 terms of the sequence are:
a1 = 16
a2 = 16 * (-0.4) = -6.4
a3 = -6.4 * (-0.4) = 2.56
a4 = 2.56 * (-0.4) = -1.024
a5 = -1.024 * (-0,4) = 0.4096
a6 = 0.4096 * (-0.4) = -0.16384
The the 6th term is = -0.16384
1. Aubrey is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 6 hours? How much gas would be left after tt hours?
2. Find the sum of -8x^2+3 and -9x^2+3x-3−
3.Simplify the expression to a polynomial in standard form:
(-3x-5)(-x^2+x-5)
Answer:
See solutions below
Step-by-step explanation:
1) Total amount of gallons = 14 gallons
If she uses up 0.75 gallons of gas each hour then;
1 hour = 0.75gallons
after driving 6 hours, amount of gallons used will be;
6 hours = x
Divide both expressions
1/6 = 0.75/x
x = 6 * 0.75
x = 4.5gallons
Amount of gas left = 14 - 4.5 = 9.5 gallons of gas
Hence 9.5 gallons of gas will be left after 6 hrs
Similarly;
1 hour = 0.75gallons
after driving t hours, amount of gallons used will be;
t hours = x
x = 0.75t
Amount of gas left after t hours = (14 - 0.75t) gallons of gas
2) We are to find the sum of -8x^2+3 and -9x^2+3x-3
-8x^2+3 + (-9x^2+3x-3)
= 8x^2+3 -9x^2+3x-3
Collect like terms
= 8x^2 -9x^2+3x + 3-3
= -x^2 + 3x
Hence the sum is -x²+3x
3) Expressing in standard form;
(-3x-5)(-x^2+x-5)
Expand
= 3x³-3x²+15x+5x²-5x+25
Collect like terms
= 3x³-3x²+5x²+15x-5x+25
= 3x³+2x² + 10x + 25
Hence the product in polynomial form is 3x³+2x² + 10x + 25
A company prints contest codes on its fun-size bags of
candy. Each 6-character code consists of the letter A
followed by the letter H followed by 4 of the digits 0
through 9. The digits may repeat. Which of the
following expressions gives the number of different
6-character codes that are possible?
F. 1(1)(10)(10)(10) (10)
G. 2(1)(10)(9)(8)(7)
H. 2(1)(10)(10)(10)(10)
J. 2(2)(10)(9)(8)(7)
K. 2(2)(10)(10)(10)(10)
Using the Fundamental Counting Theorem, it is found that the expression that gives the number of different 6 -character codes that are possible is:
F. 1(1)(10)(10)(10) (10)
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the first two digits, there is only one outcome, A and H, respectively, hence [tex]n_1 = n_2 = 1[/tex].For the next four digits, as the digits may repeat, there are ten possible outcomes for each, hence [tex]n_3 = n_4 = n_5 = n_6[/tex].Hence:
[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]
And option F is correct.
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please solve pic attached below. I will make brainless
Answer:
hgfc
Step-by-step explanation:
nbc
38 is what percent of 84 (to the nearest percent)?
Answer:
45.24
Step-by-step explanation:
Percentage Calculator: 38 is what percent of 84? = 45.24.
Answer:
45%
Step-by-step explanation:
84÷100=0.84
38÷0.84=45.24 rounded that is 45%
If LMN ~ YXZ and the perimeter of YXZ is 144 , Find XZ
Answer:
XZ=51
Step-by-step explanation:
In∆ LMN,
Perimeter = 72+52+68
=192
And using similar triangles, XY is similar to MN
MN/Perimeter of LMN= XY/Perimeter of XYZ
68/192=XZ/144
XZ=[144×68]/192
XZ=51
The length of XZ is 51 units.
What is similarity?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
Perimeter of YXZ is 144
So, In∆ LMN,
Perimeter = 72+52+68
=192
We know that both triangles are similar.
So, , XY is similar to MN
MN/Perimeter of LMN= XY/Perimeter of XYZ
68/192=XZ/144
XZ=[144×68]/192
XZ=51 unit
Hence, the length of XZ is 51 units.
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#SPJ2
Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto
Answer: x boletos de adulto
2x boletos de estudiante
x+2x=288
3x=288
x=288/3
x=96
adulto =96
estudiante 2*96=192
96+192=288
Step-by-step explanation: 96 y 192
How much more than 1/4 cup is 3/4 cup?
Answer:
half a cup
Step-by-step explanation:
75% minus 25% is 50% aka 1 half
Xavier opened a savings account with a deposit of $12,000.
The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?
0.9%
1.8%
2.7%
3.6%
Answer:
the answer is 236.25
Step-by-step explanation:
The interest rate on annual basis on the given account should be considered as 0.9%.
Calculation of the annual interest rate:
Here the interest amount be
= Future value - principal
= $12,324 - $12,000
= $324
Now the interest rate be like
Interest = Principal * rate * time period
$324 = $12,000 * rate * 3/ 100
So, the rate be 0.9%.
Hence, The interest rate on annual basis on the given account should be considered as 0.9%.
Learn more about interest rate here: https://brainly.com/question/14191952
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant
Answer:
Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below
answer :
y-intercept = 25.9047
slope = 2.8420
Step-by-step explanation:
Determine the slope for the regression equation and y intercept
The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )
y = 25.9047 + 2.8420x
from the equation gotten above
y-intercept = 25.9047
slope = 2.8420
Find the area of the following shape:
Answer:
63 in^2
Step-by-step explanation:
Area = base x height
Base: 7
Height: 9
9 x 7 = 63
Answer:
63 inches squared or [tex]63in^{2}[/tex]
Step-by-step explanation:
The answer is 63 inches squared.
The area of a parallelogram is always base times height.
In this case, the base is seven and the height is nine.
To find the area, we must multiply nine by seven
We get 63
But, we are multiplying inches and inches together
When we multiply something by itself, it becomes squared
Since we are multiplying inches by inches, it becomes inches squared
Therefore, the area of the shape is 63 inches squared, or
[tex]63in^2[/tex]
Which expression is equivalent to 4x - (3x2 + x) + 5 - (2x2 + 1)?
Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in
Answer21.98
Step-by-step explanation:
A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55
Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60
Answer:
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of multiple-choice questions
y is the number of short-answer questions.
Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.
This means that:
[tex]2x + 5y = 60[/tex]
The test has 15 questions.
This means that:
[tex]x + y = 15[/tex].
Which means that option C is the correct answer.
Answer:
C. The number of multiple-choice questions plus the number of short-answer questions is 15.
Step-by-step explanation:
x + y = 15
9x^2+25 Can someone doble this
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3x and b=5.
(3x+5)(3x−5)
Step-by-step explanation:
Katia has 7 chairs she wants to paint. If it takes 2/3 can of spray
paint to paint a chair, how many cans of spray paint does Katia
need?
Answer:
4 2/3
Step-by-step explanation: You would do 7 × 2/3, but you cannot do that so you have to make the 7, 7/1 and than it is 7/1 × 2/37/1 × 2/3 =First step: Multiply the top: 7 × 2 = 14Second step: Multiply bottom: 1 × 3 = 3Answer: 14/3 and than you simplify to 4 2/3Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +
Answer:
h² - 10h + 25
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G
Answer:
M₁=Fr²/GM₂
Step-by-step explanation:
The original formula is
F = GM₁M₂/r²
Rearrange it so M₁ is isolated:
Fr²=GM₁M₂
M₁=Fr²/GM₂
Give three examples of equations where there would be no solution
Answer:
1) 2x+1 = 2x-4
2) 6x+2=3(2x+1)
3) -4x -5=-2(2x)+2
Step-by-step explanation:
We need to give three examples of equations where there would be no solution.
First we will define equation with no solution.
If solving an equation you get the result as 3=5 but 3 is not equal to 5, so the equation has no solution.
Examples of equations where there would be no solution
1) 2x+1 = 2x-4
2x-2x=-4-1
0=-1 ( false)
So, the equation has no solution.
2) 6x+2=3(2x+1)
6x+2=6x+1
6x-6x=1-2
0=-2 (false)
So, the equation has no solution.
3) -4x -5=-2(2x)+2
-4x-5=-4x+2
-4x+4x=2+5
0=7 (false)
So, the equation has no solution.
order these number (smallest to largest)
35.6 0.356 35.63 3.65 356.06 356.6
Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6
Step-by-step explanation:
HELPPPPP GUYS I NEED IT AND IM NOT GOOD AT MATH!!
Answer:
-21
Step-by-step explanation:
Answer:
Option b-21
As coefficient is the number before variables
and here the number before is -21
70%of it is 14 min find the valy ofx
Note:
Your questions sound a little unclear.
But, I am assuming your questions as:
''70% of x is 14 min. Find the value of x''.
So, I will solve assuming this statement which anyways would clear your concept.
Answer:
The value of x = 20.
Step-by-step explanation:
Given
''70% of x is 14 min. Find the value of x''.
Thus,
70% of x = 14
70/100 × x = 14
0.7x = 14
divide both sides by 0.7
0.7x/0.7 = 14/0.7
x = 20
Therefore, we conclude that the value of x = 20.
Solve the inequality
Answer: Hi there, the answer should be the third option v < -8.
A magazine publisher is informed that 72% of subscribers last year did not renew their subscriptions. This publisher wants to randomly survey 8% of these past subscribers asking the reason why they did not renew their subscriptions. All of last year's subscribers who did not renew their subscriptions are known collectively as what
Answer:
Sampling frame
Explanation:
A sampling frame is the source where the researcher draws his samples from. In other words, a sampling frame is like the population where the researcher gets samples for his investigation. In the above example, we are told the researcher wants to know why the 72% that subscribed last year didn't subscribe this year. He draws a sample of 8% from the 72% that he is trying to study, therefore the 72% are the sampling frame from where he gets his sample.
>:)))))))))
i use u guys to get though exam
Answer:
B) 3/8
Step-by-step explanation:
Proportion/ Ratio:
3 pounds to 8 flower beds
3 : 8
3 / 8
Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy
Answer:
The large sample n = 117.07
Step-by-step explanation:
Step(i):-
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
Step(ii):-
The Marginal error is determined by
M.E = [tex]\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }[/tex]
√n = [tex]\frac{2 X0.4330}{0.08} = 10.825[/tex]
squaring on both sides , we get
n = 117.07
Final answer:-
The large sample n = 117.07
please help meeeeeeeeeeesssssssssssss
Answer:
384 cm^3
Step-by-step explanation:
(16 times 4) times 6 = 384 :D
4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event
Answer:
Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability
Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability
Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability
Step-by-step explanation:
The probability of the given events is:
[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]According to the question,
Number of outcomes = 8
Event A:
Having the alternative even and odd numbers.
→ [tex](EOE, OEO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event B:
No even number and last two rolls.
→ [tex](EOO,OOO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event C:
Exactly on odd number:
→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]
Thus the above approach is correct.
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Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
Answer:
6:4:9 Yw❤️
Step-by-step explanation:
