Answer:
72.3
Step-by-step explanation:
Given that:
The arithmetic sequence:
[tex]\sum \limits ^{14}_{k=0} (3 + 0.26k)[/tex]
The first term of the sequence [tex]a_0[/tex] = 3 since k = 0
i.e (3 + 0.26(0)) = 3
The last term of the sequence [tex]a_{14}[/tex] = 6.64
i.e (3+ 0.26(14)
= (3 + 3.64)
= 6.64
Total no of terms = 15 i.e from 0 to 14
∴
The partial sum of the arithmetic sequence = [tex]\dfrac{Total \ no \ of \ terms }{2} \times (a_o+a_{15})}[/tex]
[tex]=\dfrac{15 }{2} \times (3+6.64)}[/tex]
= 72.3
Which relation is a function? A. (8, –4), (8, 4), (6, –3), (6, 3), (0, 0) B. (4, 7), (8, 5), (6, 4), (5, 3), (4, 2) C. (0, 0), (1, 1), (2, 2), (3, 3), (4, 7) D. (0, 0), (1, 0), (1, 1), (2, 1), (1, 2)
Answer:
its C because in C none of the x's repeat
Step-by-step explanation:
A rectangle has the length 8 times the width the area of the park is 392 square unites how much is the width of the park
Answer:
7
Step-by-step explanation:
A rectangle has a length that is 8 times the width
The area of the park is 392 square units
Let y represent the width of the park
Since the length is 8 times the width then, l= 8x
Therefore the width of the park can be calculated as follows
8x × x= 392
8x^2= 392
x^2= 392/8
x^2= 49
x= 7
Hence the width of the park is 7
A 2010 study asserts that the number of hours that the average college student studies each week has been steadily dropping (The Boston Globe, July 4, 2010). In fact, the researchers state that, in the U.S., today’s undergraduates study an average of 14 hours per week. Suppose an administrator at a local university wants to show that the average study time of students at his university differs from the national average. He takes a random sample of 35 students at is university and finds that the average number of hours spent studying per week is 16.7. Assume that the population standard deviation is 7.2 hours. At 0.05 level of significance, what is the test statistics for testing the hypotheses H0: µ = 14 versus H1: µ ≠ 14?
Answer:
Test statistic |Z| = |-2.21|
calculated value Z = 2.21 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
The researchers state that, in the U.S., today’s undergraduates not study an average of 14 hours per week
Step-by-step explanation:
Step(i):-
Given Mean of the Population' μ' = 14 hours per week
Given random sample size 'n'= 35
Mean of the sample (x⁻) = 16.7 hours per week
standard deviation of the Population (σ) = 7.2 hours per week
Level of significance = 0.05
Step(ii):-
Null hypotheses :H₁: µ = 14
Alternative Hypothesis : H₂: µ ≠ 14
Test statistic
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{14-16.7}{\frac{7.2}{\sqrt{35} } }[/tex]
Z = -2.21
|Z| = |-2.21|
The tabulated value
Z₀.₀₅ = 1.96
calculated value Z = 2.21 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
The researchers state that, in the U.S., today’s undergraduates not study an average of 14 hours per week
Your friend says that the solutions to the inequality 8x - 15x s 14 are xs - 2. Solve the inequality correctly. What error did your
friend make?
1 point
What type of number is -0.36? Check ALL that apply.
whole number
irrational
integer
rational
Answer:
Its an integer and rational number
187/100 in simplest form. (ex 10/5 = 1 1/5)
Answer:
It stays the same
PLSSSS HELPP ASSPPPP!!!!
Kanji buys 3 yards of fabric for $7.47. Then he realizes that he needs 2 more yards Of the Same fabric. How much will the extra fabric cost?
Suppose tan(x) = Two-thirds, and the terminal side of x is located in quadrant I. What is sin(x)?
Answer:
sin(x) = 2/√13
Step-by-step explanation:
In the first quadrant , all the trig identity (sin, cos and tan) are all positive.
Given tan(x) = 2/3
According to TOA, tan(x) = opposite/adjacent = 2/3
opposite = 2
adjacent = 3
Using pythagoras theorem to get the hypotenuse;
Hyp² = opp²+adj²
Hyp² = 2²+3²
Hyp² = 4+9
Hyp² = 13
Hyp = √13
According to SOH, sin(x) = opp/hyp
sin(x) = 2/√13
Complete a table with at least 5 points then graph the following quadratic on the coordinate plane. Identify all zeros.y = -2x2 + 5x + 8
Answer:
See attached
Step-by-step explanation:
Given function:
y = -2x² + 5x + 8Table and graph are attached
Zeros are included in the graph
Zero's are obtained:
x = 0 ⇒ y = 8
y = 0 ⇒ Solving quadratic equation
-2x² + 5x + 8 = 0x = (-5 ± √(25 + 2*4*8))/-4x = 3.608x = -1.108So zeros are (0, 8), (3.608, 0) and (-1.108, 0)
#3. Which related conditional statements have the same truth value as
the contrapositive? *
O Conditional Statement
Biconditional
Converse
Inverse
Answer:
Conditional Statement
Step-by-step explanation:
Here in this question, we are interested in selecting which of the options given has the same truth value as the contrapositive. The correct answer here is the conditional statement.
Logically, a contrapositive statement has the same truth value as a conditional statement. What this means is that they are logically equivalent.
A conditional statement is however not logically equivalent to its converse and inverse.
What do you call moving digits around to a different place when you count up or down past 9?
regrouping.
borrowing.
trading.
all of the above.
Moving digits around to a different place when counting up or down past 9 is called regrouping, borrowing, or trading.
There are several terms for moving digits around, some of them are:
RegroupingCarryingBorrowingTradingAll the above mean the same thing, and they perform the same purpose.
For instance:
Counting from 19 to 20 involves borrowing/carrying/trading/regrouping of 1
Hence, the correct option is (d) all of the above
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GPA
1.73
3.08
3.39
3.7
3.52
3.28
2.87
1.86
2.73
1.93
2.15
1.55
2.24
1.63
3.26
Answer:
about 3.52..........
Alden has a gift card for a local garden store. She uses the gift card to rent a tiller for 5 days. It cost $59 per day to rent the tiller. She also buys a rake for $3 l. By how much did her gift card decrease by
Answer:
90 the answer is 90
Answer:
$250
Step-by-step explanation:
We can make a pretty simple equation to help us solve this. If the tiller costs $59 for each day and she uses it for 5 days, the first step of our equation would be (59 x 5). Then she buys a rake for 3 dollars, that is adding to the equation
(59 x 5) + 3
Fist solve what is inside the parentheses. 59 x 5 = 250
250 + 3 = 250
About 4/5 of all the orange juice in the world is produced in Brazil. About what percent of all the orange juice in the world is produced in Brazil?
Answer:
80%
Step-by-step explanation:
We first have to make this fraction into a percent
4/5 is equal to 80/100
80/100 is the same as 80% out of 100 so...
the answer is 80%
Which expression is equivalent to (3x-1) (-5x+6)?
Answer:
−15x2+23x−6
Step-by-step explanation:
(3x−1)(−5x+6)
=(3x+−1)(−5x+6)
=(3x)(−5x)+(3x)(6)+(−1)(−5x)+(−1)(6)
=−15x2+18x+5x−6
=−15x2+23x−6
Part D: Write an equation that would represent the
number of seconds it took the skydiver to reach a
height of 400 meters and use the equation to solve for
that time.
Part E: What is an appropriate domain for the
situation
A 0
B. 0
C. Sy s 44.7
DO Sy 5 760
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the complete question is:
A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.
a) A function gives a relationship between two variables (an independent and dependent variable). The dependent variable is dependent on other variables (output) while the independent variable is not dependent on other variables (input).
Let x be the number of seconds after the parachute is opened and y be the height of the parachute above the ground. Hence the equation that models the situation is:
y = 760 - 17x
At a height of 400 m, the number of seconds is:
y = 760 - 17x
400 = 760 - 17x
17x = 760 - 400
17x = 360
x = 21.2
x ≅ 21 seconds
It takes 21 seconds to reach a height of 400 m
b) Domain is the set of all independent variables. In this case the independent variable is the time (x)
The minimum time is at y = 760
y= 760 - 17x
760 = 760 - 17x
17x = 0
x = 0
The maximum time is at y = 0
y= 760 - 17x
0 = 760 - 17x
17x = 760
x = 44.7
Hence the domain = 0 ≤ x ≤ 44.7
numerele a, b si c sunt direct proportionale cu 2, 3 si 5. Daca media aritmetica a celor trei numere este egala cu 100, determinati numerele a, b si c
Answer:
a = 60
b = 90
c = 150
Step-by-step explanation:
Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.
Unde k este constantă de proporționalitate
a ∝ 2
a = 2k
b ∝ 3
b = 3k
c ∝ 5
c = 5k
Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c
= 2k + 3k + 5k / 3 = 100
= 10k / 3 = 100
Cross Multiply
= 10k = 3 × 100
= 10k = 300
Împărțiți ambele părți la 10
k = 300/10
k = 30
Pentru numărul a
a = 2k
a = 2 × 30
a = 60
Pentru numărul b
b = 3k
b = 3 × 30
b = 90
Pentru numărul c
c = 5k
c = 5 × 30
c = 150
Prin urmare, a = 60, b = 90, c = 150
solve screen shot attachment EASY
Answer:
[tex]x = \frac{-3d-9}{k-d}[/tex]
Step-by-step explanation:
Step 1: Write out equation
d(-3 + x) = kx + 9
Step 2: Distribute d
-3d + dx = kx + 9
Step 3: Subtract 9 on both sides
-3d + dx - 9 = kx
Step 4: Subtract dx on both sides
-3d - 9 = kx - dx
Step 5: Factor out x
-3d - 9 = x(k - d)
Step 6: Divide both sides by k - d
[tex]x = \frac{-3d-9}{k-d}[/tex]
Will vote brainliest!!!!!!!! Thank you!!!!!!!!!!!!
0
Step-by-step explanation:
all the ways you could do it so it would be 0
x-4y+5z=0,x+z-3y=0
6x-y+4z=0,x-7y+z=0
The freezing temperature of the water is 32 degrees Fahrenheit and the boiling temperature of water is 212 degrees Fahrenheit. Write an absolute value equation that represents the minimum and maximum temperature of liquid water. Use X to represent the temperature.
Answer:
90 = | x - 122 |
Step-by-step explanation:
Given;
maximum temperature, 212 °F
minimum temperature, 32 °F
First, determine the difference of both values;
212 - 32 = 180
Divide this value by 2
180/2 = 90
90 = | x - 212 + 90|
90 = | x - 122 |
where;
x is the temperature of water
Thus, the absolute value equation that represents the minimum and maximum temperature of liquid water is 90 = | x - 122 |
Simplify. (12)2−6(2−23) Enter your answer, as a simplified fraction, in the box.
Answer: 240
Step-by-step explanation:
Distribute all numbers
24 - 6(-21)
24 - (-126)
24+216
240
The number 28 is 4 times as many as 7. Write this comparison as a multoplication equation
Answer:
4 x 7
Hope this helps pla mark brainliest : )
The mathematical expression will be;
⇒ 28 = 4 × 7
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''The number 28 is 4 times as many as 7''
Now,
Since, The algebraic expression is,
''The number 28 is 4 times as many as 7''
Hence, We can formulate;
⇒ 28 = 4 × 7
Thus, The The mathematical expression is find as;
⇒ 28 = 4 × 7
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can I get an answer please
Answer: 1, 4, -7
Step-by-step explanation:
Coefficients are numbers that are in front of a variable. Let's first determine the terms that have variables in them.
z, 4z², -7a
Since these all have variables in the terms, we know the coefficients are 1, 4, -7.
ALGEBRA 1 BRIDGING DIAGNOSTIC I SECTION 1 1 1 OF 10
The number of bottles a machine fills is proportional to the number of minutes the machine operates. The
machine fills 250 bottles every 20 minutes. Create a graph that shows the number of bottles, y, the
machine fills in x minutes
А A
Answer:
The answer is below
Step-by-step explanation:
Let the number of bottles be y and the number of minutes the machine operate be x.
Given that number of bottles be is proportional to the number of minutes the machine operate, hence:
y is proportional to x.
⇒ y α x
y = kx, where k is a constant
when the number of bottles (y) = 250, the time the machine operates (x) = 20 minute. Therefore:
y = kx
250 = 20k
k = 250/20
k = 12.5
Hence the relationship between x and y is given as:
y = 12.5x
Plotting the function y = 12.5x using geogebra
Can some one help me please
Answer:
Acc to the exponential rule
{[A^m]} ^2
A ^m*n
Hence A raise to 3 whole raise to 2 is equal to
A raise to 3*2=6
That is A raise to 6
passing through (-6, -1) and parallel 2x+3y=3
Answer:
the answer is -5
Step-by-step explanation:
Answer:
y=-2/3x+5
Step-by-step explanation:
2x+3y=3
3y=-2x+3
y=-2/3x+1
*input the point given)
-1=-2/3(-6)+1
5
hope this helped!!
a bus is traveling at a constant speed if the bus travels 15 1/2 miles in 1/3 of an hour how many miles will the bus travel in one hour
Answer:93/2 or 46 1/2
Step-by-step explanation:
15 1/2 ✖️3
Chicken is on sale 5 pounds for $14.40 if I paid the unit cost what would three pounds of chicken cost? PLEASE HELP FAST
A person whose salary is Rupees 18500 has to pay 13% tax how much tax should he pay
Step-by-step explanation:
if a person whose salary is Rs 18500 has to pay 13% tax pay 18500 into 13 by hundreds equals to 185 into 13
The amount of tax the person has to pay is Rupees 2405.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A person whose salary is Rupees 18500 has to pay 13% tax.
So, The amount of tax he has to pay is 13% of 18500.
∴ (13/100)×18500.
= 13×185.
= 2405 Rupees
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