Step-by-step explanation:
3x + 10 ≤ 30 3x ≤ 30 - 10 3x ≤ 20x ≤ 20/3Cho ánh xạ tuyến tính f : R^3 → R^3 và hai cơ sở của R^3 :
B ={b1=(1,3,3),b2=(-7,6,5),b3=(1,2,2)}
C= {c1=(2,-4,3),c2=(-5,-1,-5),c3=(1,0,1)}
Biết:
f b(1 ) ( -5,6,4) =
f b(2 ) ( -8,5,2) =
f b( 2) ( -9, -2, -5) =
a. Tìm ma trận A=[F]e3'= , từ đó suy ra biểu thức của f(x1,x2,x3)
Step-by-step explanation:
TUU-PQVH-MFG LINK for those who are interested in Paranormal and those who have doubt on Paranormal
this please help me
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Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)
A laundry basket contains 15 socks, of which 5 are yellow.
What is the probability that a randomly selected sock will be yellow?
Write your answer as a fraction or whole number.
Answer:
5/15
Step-by-step explanation:
Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)
Answer:
1/3
Step-by-step explanation:
Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.
Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.
how do you do this equation?
Answer:
y = 2x + 2
Step-by-step explanation:
General point-slope form:
point = (x1,y1) = (1,4)
slope = m = 2
y-y1 = m(x-x1)
Substitute values
y - 4 = 2 (x-1)
y = 2x -2 + 4
y = 2x + 2
HELP ASAP I WILL GIVE BRAINLIST
Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person
Answer:
A: the function is 537(0.3x)
B: so we just plug in the numbers where x is that amount of years so
52 years from 1970 so 2022
537(1.56)
x=837.72
so the answer is 838
Hope This Helps!!!
Liz earns a salary of $2,400 per month, plus a commission of 5% of her sales. She wants to earn at least
$2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your
variable represents. Enter the commission rate as a decimal.
+
s (select)
The inequality that represents the situation is
S = (select)
Answer:
2400 + (0.05X) = 2900
Therefore, the amount of sales that Liz will have to make to meet her goal is $ 10,000.
Step-by-step explanation:
Since Liz earns a salary of $ 2,400 per month, plus a commission of 5% of her sales, and she wants to earn at least $ 2,900 this month, to find amounts of sales that will meet her goal, the following equation must be solved:
5/100 = 0.05
2400 + (0.05X) = 2900
0.05X = 2900 - 2400
0.05X = 500
X = 500 / 0.05
X = 10,000
Therefore, the amount of sales that Liz will have to make to meet her goal is $ 10,000.
Identify a possible measure of the angle sketched in standard position
195 degrees
175 degrees
-195 degrees
-175 degrees
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Answer:
-195 degrees
Step-by-step explanation:
The angle is shown as being measured CW, so in the reverse of the positive direction. The angle's terminal ray seems to be above the -x axis, making its measure more than 180°. Of the choices offered, the best seems to be ...
-195 degrees
Calculate the price relative
Answer:
146.3
Step-by-step explanation:
The price relative is the product of 100 and ratio of the current price to the base price. It is given as:
[tex]Price\ relative=\frac{P_n}{P_o}*100\\\\Where\ P_n\ is\ the \ price\ of\ commodity\ in\ the\ current\ period\ while\ P_o\ is\\the\ price\ of\ commodity\ in\ base\ period.[/tex]
Given that the base price is the truck cost in 2008 = $27000 and the current price is the price of the truck in 2012 = $39500. Hence:
Price relative = ($39500 / $27000) * 100 = 146.3
Therefore the price relative is 146.3
On a particular day, the wind added 3 km per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 km per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 36.5 km with the wind, he could go only 24 km against the wind. To the nearest whole number, what is his normal bicycling speed with no wind?
Answer:
31 km?
Step-by-step explanation:
Answer: a) 15 km/h
Step-by-step explanation: Trust me bro
Which is the simplified form of the expression
Answer:
4 / x¹⁴y⁸
Step-by-step explanation:
eliminate parenthese by multiplying all exponents inside parentheses by the exponent outside the parentheses:
1/2⁶ ÷ 1/4⁴ = 1/64 ÷ 1/256 which equals 256/64 or 4
x⁻⁶y⁴ ÷ x⁸y¹² = x⁻¹⁴y⁻⁸ = 1/x¹⁴ · 1/y⁸
put it all together to get:
4÷(x¹⁴y⁸)
7/3+7/2-5/4
please answer correct answer will get brainlist answer tag
Answer:
Step-by-step explanation:
1 Which set of ordered pairs does not represent a function?
1 {(1, 10), (3, 18), (5, 26), (7, 34), (9, 42)
2 {(2, 10), (3, 20), (4, 15), (5,5), (6,25)
3 {(0,8), (5,4), (10,0), (15, 4), (20,8)
4 {(9, 1), (6,2), (3, 3), (6,4), (9,5)}
QUESTION 2
Find an equation of the line containing the given pair of points
(-4.0) and (-9, 3)
3 12
y = 3x-5
4 12
y = -3%-5
4. 12
- -
3 12
y=-3%-5
QUESTION 3
how can i solve the following
4x-3=2x+7
Answer:
x = 5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Add 3 and subtract 2x from both sides of the equation:
4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)
4x - 2x = 7 + 3
2x = 10
Next, isolate the x by dividing 2 from both sides of the equation:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
~
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x -3 = 7
Add 3 to each side
2x-3+3=7+3
2x = 10
Divide by 2
2x/2 =10/2
x = 5
PLEASE HELP ME ILL GIVE BRANLIEST I HAVE A BIT OF TIME LEFT
Consider the following dot plot. Of the following statements, which two characteristics of the dot plot make the median a better choice than mean to summarize the center of distribution?
Answer:
where is question? You are only showing answer.Austin picks 14 apples from the tree in his backyard. He gives his grandmother 6 apples to make a pie. Which number sentence shows how many apples Austin has left
Answer: Since he had fourteen, and he gave away six of them, he has eight left.
Step-by-step explanation:
The number sentence shows the number of apples Austin has left is 14 - 6 and equal to 8.
What is a number system?A way to express or represent numbers is through the number system.
The Number System includes any of the several sets of symbols and the rules for using them to represent numbers.
As per the given,
Total number of apples = 14
Number of apples that make a pie = 6
Left = 14 - 6 = 8
Hence "The number sentence shows the number of apples Austin has left is 14 - 6 and equal to 8".
For more about the number system,
https://brainly.com/question/22046046
#SPJ2
anyone know this? the box is just there when I have the answer so it's okay but I dont understand this anyone can help?
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Answer:
1/10
Step-by-step explanation:
The product of fractions is the product of the numerators, divided by the product of the denominators.
[tex]\dfrac{1}{2}\text{ of }\dfrac{1}{5}=\dfrac{1}{2}\times\dfrac{1}{5}=\dfrac{1\times1}{2\times5}=\boxed{\dfrac{1}{10}}[/tex]
__
Additional comment
When working with fractions and percentages, you will find that "of" often means "times."
100
12
a.
What is the volume of the triangular prism in cubic centimeters?
a. 408 cu cm
b. 1,380 cu cm
c. 816 cu cm
d. 1,632 cu cm
Answer:
Your answer would be C
Step-by-step explanation:
Find the exact value of tan 60° in simplest form with a rational denominator.
Step-by-step explanation:
We need to find the exact value of tan 60° in simplest form with a rational denominator.
We know that, [tex]\tan\theta=\dfrac{\sin \theta}{\cos\theta}[/tex]
Here, [tex]\theta=60^{\circ}[/tex]
So,
[tex]\tan(60)=\dfrac{\sin (60)}{\cos(60)}\\\\=\dfrac{\dfrac{\sqrt3}{2}}{\dfrac{1}{2}}\\\\=1.73\\\\or\\\\=\dfrac{173}{100}[/tex]
Hence, this is the required solution.
Multiply: –5 × (–3) × 7
Answer:
the ans is 105...........
Answer:
105
Step-by-step explanation:
-5*-3=15
15*7=105
The Department of Transportion (DOT) is attempting to determine the proportion of drivers who require all passengers in the car to wear their seatbelt before putting the vehicle in drive. A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up. To report their finding they want to create a 95% confidence interval. What would be the margin error for this confidence interval?
1) 0.0043
2) 0.0914
3) 0.0086
4) 0.0765
5) 0.0466
Answer:
2) 0.0914
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.
This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What would be the margin error for this confidence interval?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]
[tex]M = 0.0914[/tex]
Thus the margin of error is 0.0914, option 2).
What are the zeros of the quadratic function f(x) = 6x2 + 12x-7?
Answer:
[tex]f(x) = 6x ^{2} + 12x - 7 \\ x = \frac{ - 6 + \sqrt{78} }{6} \: , - \frac{ - 6 - \sqrt{78} }{6} [/tex]
Given:
The quadratic function is:
[tex]f(x)=6x^2+12x-7[/tex]
To find:
The zeros of the quadratic function.
Solution:
Quadratic formula: If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then zeros of the quadratic equation are:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]f(x)=6x^2+12x-7[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex]6x^2+12x-7=0[/tex]
Here, [tex]a=6,b=12,c=-7[/tex]. Using quadratic formula, we get
[tex]x=\dfrac{-12\pm \sqrt{(12)^2-4(6)(-7)}}{2(6)}[/tex]
[tex]x=\dfrac{-12\pm \sqrt{144+168}}{12}[/tex]
[tex]x=\dfrac{-12\pm \sqrt{312}}{12}[/tex]
[tex]x=\dfrac{-12\pm 17.6635}{12}[/tex]
Now,
[tex]x=\dfrac{-12+17.6635}{12}[/tex] and [tex]x=\dfrac{-12-17.6635}{12}[/tex]
[tex]x=0.47195833...[/tex] and [tex]x=-2.47195833...[/tex]
[tex]x\approx 0.472[/tex] and [tex]x\approx -2.472[/tex]
Therefore, the zeros of the given quadratic function are 0.472 and -2.472.
Find f(-2) for f(x) = 5.34.
Answer:
5.34
Step-by-step explanation:
f(-2) requires that we change x with -2 in the f(x) equation, yet the f(x) =5.34 so it has no x, therefore f(-2) =5.34
Which statement is true?
Question 16 options:
A)
–|–45| = 45 and –|–96| = –96.
B)
|–45| = –45 and |–96| = –96.
C)
|–45| = 45 and |–96| = 96.
D)
|–45| = 45 and |–96| = –96
Answer:
I think D is the answer
Can you please give me Brainliest answer plz
Answer:
C is the correct answer.
The first term of a G.P are as follows: m, m2 +4, 16m. Find the 5th term.
Answer:
512
Step-by-step explanation:
To effectively answer the question, let us calculate the value of m. This can be obtained as follow:
m, (m² + 4), 16m
1st term (T₁) = m
2nd term (T₂) = m² + 4
3rd term (T₃) = 16m
Common ratio = T₂/T₁ = T₃/T₂
(m² + 4) / m = 16m / (m² + 4)
Cross multiply
(m² + 4)(m² + 4) = m × 16m
(m² + 4)² = 16m²
Take the square root of both side
√[(m² + 4)²] = √(16m²)
m² + 4 = 4m
Rearrange
m² – 4m + 4 = 0
Solving by Factorisation
m² – 2m – 2m + 4 = 0
m(m – 2) – 2(m – 2) = 0
(m – 2)(m – 2) = 0
(m – 2)² = 0
Take the square root of both side
m – 2 = 0
m = 2
Thus,
1st term (T₁) = m = 2
2nd term (T₂) = m² + 4 = 2² + 4 = 8
3rd term (T₃) = 16m = 16 × 2 = 32
The sequence => m, (m² + 4), 16m
Becomes
2, 8, 32
Finally, we shall determine the 5th term. This can be obtained as follow:
1st term (a) = 2
Common ratio (r) = 2nd / 1st = 8/2 = 4
5th term (T₅) =?
T₅ = ar⁴
T₅ = 2 × (4)⁴
T₅ = 2 × 256
T₅ = 512
Therefore, the 5th term is 512
Which number is closest to zero on the number line?
Answer:
the answer is .5 I think I'm sorry if I'm wrong
What is a inequality to represent -2 and -5
Answer:
-2 > -5
Step-by-step explanation:
Since -2 is greater than -5 we use the greater-than sign to represent this relationship.
Find the missing terms of the arithmetic sequence below.
..., 36, , ,21, ...
Answer:
Rule:-15
Step-by-step explanation:
36,21,6,-9,-24,-39,-54,-69...
uh hi i need help on this
Answer:
Angle 2 = 124 degrees
Step-by-step explanation:
Angles 1 and 2 are corresponding angles since the two lines are parallel.
We can put both numbers into an equation.
3x + 25 = 2x + 58
Subtract both sides by 2x which will give:
x + 25 = 58
Now, we can solve for x, which is:
x = 58-25 = 33
Put back x = 33 into angle 2.
Hence, angle 2 is 2*33 + 58 = 124
Answer:
m∠2 = 124 degrees
Step-by-step explanation:
By the definition of "Same Side Corresponding Angles" the 2 angles given are congruent to each other, therefore we can say;
3x + 25 = 2x + 58
x + 25 = 58
x = 58 - 25
x = 33
Now that we have x = 33, we can substitute 33 in for x, in equation given for angle 2 to find it's measure;
∠2 = 2(33) + 58
∠2 = 66 + 58
∠2 = 124
Therefore m∠2 = 124 degrees.
Hope this helps!
What the answer pls I suck at this just in the answer please thank you
Answer:
108 because the full measurements is 180
Step-by-step explanation:
Answer:
54°
Step-by-step explanation:
All angles in triangle add up to 180°.
180° - 72°= 108°
108°/ 2= 54°