Answer:
A is point ( 6, -3, 6)
Step-by-step explanation:
Here in this question, we are concerned with finding the coordinates of point A.
Since we do not know the coordinates of point A, let’s represent them as (x,y,z)
By vector properties; Mathematically ;
AB = (7,4,4) - (x , y, z)
Thus; AB = (7-x)i + (4-y)j + (4-z)k
From the question, we are told that AB is also i + 7j -2k
By comparison;
(7-x)i = i
7-x = 1
x = 7-1
x = 6
(4-y)j = 7j
4-y = 7
4-7 = y
y = -3
and lastly
(4-z)k = -2k
4-z = -2
4 + 2 = z
z = 6
So the coordinates of A are (6, -3, 6)
Complete the pattern 0.095 9.5 950 95,000 9,500
Answer:
the next number is 9,500,000 each time you multiply the number by 100
Step-by-step explanation:
0.095×100=9.5
9.5×100=950
and so on good luck
PLSSSS HELPP ASSPPPP!!!!
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 |
187/100 in simplest form. (ex 10/5 = 1 1/5)
Answer:
It stays the same
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
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?
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
What is the solution to x6 – 6x 5 + 15x 4 – 20x 3 + 15x 2 – 6x + 1 ≥ 0?
Answer: C all real numbers
Step-by-step explanation:
I got the answer right on Edge
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
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!!
The temperature was 61 degrees at sunrise.
By 2:00 PM, the temperature had risen
by 12 degrees. Find the temperature at
2:00 PM
The temperature at 2:00 PM will be 73 degrees
What is temperature ?
Coldness and hotness is measured by temperature which is one of the fundamental units of measurements.
Here, it is given that the temperature at sunrise was 61 degrees and it is find the temperature at 2 P.M which as increase by 12 degrees. Now calculating it by adding 61 degree with 12 degrees :
the temperature at 2:00 PM = 61 degrees + 12 degrees = 73 degrees
Read more about addition at:
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A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is
Answer:
enlarged by a factor of 2
Step-by-step explanation:
you're welcome
what is -10+10(-12)÷6
Answer:
-30
Step-by-step explanation:
t-(-5) = 9
what’s the first step to solve the equation?
Answer:
Subtract 5 from each side
( or add -5 to each side)
Step-by-step explanation:
t-(-5) = 9
t+5 = 9
Subtract 5 from each side
t +5-5 = 9-5
t = 4
Solve the equation.
0.95x +0.05(12-x) = 0.10(24)
Answer:
x=2
Step-by-step explanation:
0.95x +0.05(12-x) = 0.10(24)
Distribute
0.95x +0.6-0.5x= 2.4
add/subtract like terms
0.9x+0.6=2.4
subtract 0.6 from both sides
0.9x=1.8
Divide both sides by 9
0.1x=0.2
multiply both sides by 10
x=2
Hope this helps! Plz award Brainliest : )
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
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
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
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
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
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%
#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.
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
What is the value of the correlation coefficient r of the data set?
Answer:
C
Step-by-step explanation:
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..........
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?
pls answer fast (3/7 ÷ 1/2) ÷7/8
Answer:
48/49
Step-by-step explanation:
jv
Answer:
Step-by-step explanation:
48/49
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:
ASAP A cylinder has a base with a diameter of 6 cm, and a height of 12 cm. What is its volume? ASAP
Answer:
V= 339.336 cubic cm i'm pretty sure :)
Step-by-step explanation:
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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