Answer:
Simplify first:
-4n - 20 = 8
Add 20 to both sides:
-4n = 28
Divide by -4:
Therefore you will get:
n = -7
Answer:
n = -7.
Step-by-step explanation:
-4(n + 5) = 8
-4n - 20 = 8
-4n = 28
n = -7.
I need help with my home work please
simplest form of ratio 24:36:60
Answer:
2:3:5
Step-by-step explanation:
24:36:60
1) Find the greatest common factor
24 ⇒ 1, 2, 3, 4, 6, 8, 12, 24
36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36
60 ⇒ 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Therefore, the greatest common factor is 12.
2) Divide all values by 12
24 ÷ 12 = 2
36 ÷ 12 = 3
60 ÷ 12 = 5
Therefore, the simplified form of the ratio is 2:3:5.
I hope this helps!
An airplane is flying on a bearing of 330 degrees at 450 mph. Find the component form of the velocity of the airplane.
Answer:
The component form of the velocity of the airplane is [tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Step-by-step explanation:
Let suppose that a bearing of 0 degrees corresponds with the [tex]+x[/tex] direction and that angle is measured counterclockwise. Besides, we must know both the magnitude of velocity ([tex]\|\vec v\|[/tex]), in miles per hour, and the direction of the airplane ([tex]\theta[/tex]), in sexagesimal degrees to construct the respective vector. The component form of the velocity of the airplane is equivalent to a vector in rectangular form with physical units, that is:
[tex]\vec v = \|\vec v\|\cdot (\cos \theta \,\hat{i}+\sin \theta\,\hat{j})[/tex] (1)
If we know that [tex]\|\vec v\| = 450\,\frac{mi}{h}[/tex] and [tex]\theta = 330^{\circ}[/tex], then the component form of the velocity of the airplane is:
[tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex]
The component form of the velocity of the airplane is [tex]\vec v = 389.711\,\hat{i} -225\,\hat{j}\,\left[\frac{m}{s} \right][/tex].
Find the median of the data set below:
3,5,7,10,10,4,7,5,8,10,6
Answer:
7
Step-by-step explanation:
First put them in order. I got 3, 4, 5, 5, 6, 7, 7, 8, 10, 10, 10. The middle is the sixth, because (1+11)/2 is 6. So the median is 7.
Help me!!
Dakota saves about $4 every day. She had $7 before she started saving. Her total savings is more than $25. About how many days may Dakota have saved?
The answer to this question is 5 days
Answer:
5
Step-by-step explanation:
7+4=11
11+4=15
15+4=19
19+4=23
23+4=27
Rewrite the point-slope equation in slope-intercept form: y - 3 = 2(x + 4)
A) y = 2x + 5C
B) y = 2x + 7
C) y = 2x + 9
D) y = 2x + 11
Answer:
y = 2x + 11
Step-by-step explanation:
y - 3 = 2(x + 4)
y - 3 = 2*x + 2*4
y -3 = 2x + 8
y = 2x + 8 +3
y = 2x + 11
what quadrilateral can you draw that has exactly one pair of parallel sides
Answer:
trapezoid
Step-by-step explanation:
Genise is making cookies. She needs 1 2/3 cups of flour for one batch, but she wants to make 2 1/2batches. Write an equation that can be used to find how many cups of flour Genise will need. I need help with my math quiz thanks
Answer:
(1 2 ÷ 3) (2 1 ÷ 2) = x
Step-by-step explanation:
The equation is
Let us assume x be the amount of flour she will need in cups.
Now
1 2 ÷ 3 becomes 5 ÷ 3
2 1 ÷ 3 becomes 5 ÷ 2
Now multiply each number
(5 ÷ 3)(5 ÷ 2) = x
25 ÷ 6 = x
Hence, (1 2 ÷ 3) (2 1 ÷ 2) = x this would be the equation
Solve and write equation in Slope intercept
form (y=mxth) ! Label Slope and y intercept
1) -3x +y = 8
2) -2x + 3y = 1
3)5y +3X = 10
Answer:
Step-by-step explanation:
1. is y= 3 x +8
-3 x + y - 8= 0
y = 3x+ 8
2. is in the pictures
3.
3 X + 5 y - 10 = 0
Real solution:
y = 2 - (3 X)/5
Solution:
y = 2 - (3 X)/5
Integer solution:
X = 5 n, y = 2 - 3 n, n element Z
Solution for the variable y:
y = 1/5 (10 - 3 X)
prove that 15-7 root 3 is irrational
Answer:
Step-by-step explanation:
[tex]\text{Did you mean}\\ \\ \sqrt[3]{15-7}\\ \\ \sqrt[3]{8}=2\text{ which IS a rational number}[/tex]
hii please help i’ll give brainliest
Answer:
X>3
Step-by-step explanation:
Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes
Answer:
[tex]-x+4[/tex]
Step-by-step explanation:
Find the rule and complete the table
Answer:
In-33
out-58
rule, subtract 4
Wich hotel costs the least per night ? :)
Answer:
answer b
step - by - step explanation
Hotel A. per night charge is 64 $Hotel B. per night charge is 60$ Hotel c. per night charge is 65$Help me Ill give brainlist
Answer:
18π + 90
Step-by-step explanation:
The perimeter is the sum of quarter of the circumference and 2r , that is
P = 2πr + (45 + 45)
= 2 × π × 36 × [tex]\frac{1}{4}[/tex] + 90
= 2 × π × 9 + 90
= 18π + 90
Hey! Could I get a lil bit of help? (10 points)
Which of the sets of ordered pairs represents a function? (5 points)
A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}
Group of answer choices
Only A
Only B
Both A and B
Neither A nor B
Answer:
Neither A nor B
Step-by-step explanation:
Neither set of order pairs represent a function, because none of the points have a correlating function throughout them.
What are the center and the radius of the circle 4x2 + 4y2 - 4x + 16y + 1 = 0?
Answer:
Center of circle: (1, -2)
Radius: √6
Step-by-step explanation:
First, we need to isolate the constant:
Then, we can divide the whole equation by 4:
Then, we can complete the square(reminder: (a+b)^2 = a^2 + 2ab + b^2)
Now that we got the standard equation of the circle, we can find the center and radius by using the equation , where (h, k) is the coordinate of the center, and r is the radius.
Therefore, the center of the circle is (1, -2), and the radius of the circle is √6.
Step-by-step explanation:
The center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and 2 respectively.
To solve the question, we need to know the standard equation of a circle.
What is the standard equation of a circle?The standard equation of a circle with center (h,k) and radius, r is
(x - h)² + (y - k)² = r² (1)
Now, to find the center and radius of 4x² + 4y² - 4x + 16y + 1 = 0, we convert it to standard form by completing the square method.
What is completing the square method?This is a mathematical operation in which we convert a mathematical expression into a perfect square.
So, 4x² + 4y² - 4x + 16y + 1 = 0
Subtracting 1 from both sides, we have
4x² + 4y² - 4x + 16y + 1 - 1 = 0 - 1
4x² + 4y² - 4x + 16y = - 1
Divding through by 4, we have
x² + y² - x + 4y = -1/4
Adding half the square of the coefficient of x and y to both sides, we have
x² + y² - x + 4y + (-1/2)² + 2² = -1/4 + (-1/2)² + 2²
x² - x + (-1/2)² + y² + 4y + 2² = -1/4 + 1/4 + 2²
(x - 1/2)² + (y + 2)² = 0 + 2²
(x - 1/2)² + (y + 2)² = 2² (2)
Comparing equations (1) and (2), we have h = 1/2, k = -2 and r = 2.
So, the center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and 2 respectively.
Learn more about standard equation of a circle here:
brainly.com/question/7622620
The heights of a large population of ostriches are normally distributed. Which is the closest to the percentage of these heights that is within 3 standard deviations of the mean?
a. 95%
b. 99.7%
c. 0.3%
d. 5%
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that:
The heights of a large population of ostriches are normally distributed.
The percentage of these heights that is within 3 standard deviations of the mean
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question:
The height of a large population of ostriches is normally distributed.
So,
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
brainly.com/question/5440679
#SPJ2
b(-3)=-12
Find the solution
Answer:
b =4
Step-by-step explanation:
Remove parentheses.[tex]b * -3 =-12[/tex]
2. Regroup terms
[tex]-3b=-12[/tex]
3. Divide both sides by -3.
[tex]b=\frac{-12}{-3}[/tex]
4. Two negatives make a positive.
[tex]b=\frac{12}{3}[/tex]
5. Simplify [tex]\frac{12}{3}[/tex] to 4.
b = 4
please help! need answers today!!
Answer:
Step-by-step explanation:
log 31.3= 1.49554433755 (round to 1.496)
ln square root of 7= 0.97295507452 (round to .973)
Point T bisects UV. Find UV if UT = 2 inches
soda bottles each
The machine can make
minute.
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (2,40) and (6,120) to find
the number of soda bottles the machine can make
each minute.
Number of Soda Bottles Made
200
160
120
Number of Soda Bottles
80
40
8
10
Time (minutes)
Answer:
20 Soda Bottles.
Step-by-step explanation:
I have done questions like this before.
Ilk defa buraya giriş yapıyorum sırf deneme için bir soru paylaşıyorum. 23*11= yukarıdaki soruyu yaparsanız sevinirim
Cevap:
253
Adım adım açıklama:
23 ve 11'in çarpımı;
_____2 ___ 3
___ * _ 1 ____1
_________
_____2____3
_ + _ 2_3
____________
__2__5____3
____________
Dolayısıyla 23 * 11'in çarpımı 253'tür.
Hesap makinesi problemi çözmekte zorlanırsa aynı sonuç.
y = 7x + 19
-21 x 3y = 57
Answer:
x= -2 y= -5
Step-by-step explanation:
What is 2(10) + 2(x – 4)
please answer 1-8 godbless
Answer:
1. A
2. D
3. B
4. B
5-6. B
7. D
8. D
A store pays $45 for a video game. The percent of markup is 35%. What is the selling price of the video game?
What value for x makes the following sentence true?
x+ 4 = 3(x - 2)
'A 5
B 40
C 20
D3
Answer:
Value of x = 5
Step-by-step explanation:
Given:
x + 4 = 3(x - 2)
Find:
Value of x
Computation:
x + 4 = 3(x - 2)
⇒ x + 4 = 3x - 6
⇒ x = 3x -6 - 4
⇒ x - 3x = -10
⇒-2x = - 10
⇒ x = -10 / - 2
Value of x = 5
If p : q = 2/3 : 3 and p : r = 3/4 : 1/2 , calculate the ratio p : q : r Giving your answer in its simplest form.
Answer:
Step-by-step explanation:
p:q = ⅔:3 = 2:9 = 6:27
p:r = ¾:½ = 3:2 = 6:4
p:q:r = 6:27:4
Can anyone find d-bar (the d with the line over it) and explain it to me? For this problem five trials are done at eight am and then twelve am. The eight am trials are 98.4, 98.6, 97.8, 97.1, and 97.5. The 12am ones are 98.9, 99, 97.9, 96.6, and 97.7. The correct answer is -0.14 but I can't get that answer.
Answer:
d-bar= ∑d/n= -0.7/ 5= -0.14
Step-by-step explanation:
Eight am 12 am difference (8:00am- 12:00 am)= d
98.4 98.9 (98.4-98.9=) -0.5
98.6 99 (98.6-99=) -0.4
97.8 97.9 (97.8-97.9=) - 0.1
97.1 96.6 (97.1-96.6=)+0.5
97.5 97.7 (97.5-97.7=)-0.2
∑ -0.7
d= difference between 8 am and 12 am
First we subtract the 12.00 am times from 8:00 am times.
Then we add all the differences to get the total difference ∑d.
∑d= -0.7= total of the difference between two times.
n= number of observations=5
Putting the values in the formula would give the answer.
d-bar= d`= ∑d/n= -0.7/ 5= -0.14