Answer:
The Dietary Guidelines for Americans, on the other hand, suggest restricting sodium consumption to less than 2,300 mg per day—roughly 1 teaspoon of salt!
Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.
a. What is the minimum value of the modulus of n?
√10
Provide one example of the complex number, n.
A = J → 2 + 6i
B = F →75
C = H → -3 - i
D = I → 1 + i
E = G → 5 + 5i
these are my matching pairs
Answer:
might be wrong but i think A
Step-by-step explanation:
Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
is it a solution or not
y = 2x
y = x + 1
There are 10 10 balls total of which 2 2 balls are purple. Leslie picks a ball at random, puts it back and picks a second ball at random. Find the probability of first picking a purple ball and then again a purple ball on the second draw.
Answer: 1/25
Step-by-step explanation:
Number of balls = 10
Number of purple balls = 2
Since it's probability with replacement,
Probability of picking a purple ball the first time = 2/10 = 1/5
Probability of picking a purple ball the second time = 2/10 = 1/5
Therefore, the probability of picking a purple ball both times will be:
= 1/5 × 1/5
= 1/25
167 students are taking the SAT in my high school this morning,
and every student brought something to write with. 152
students brought a pencil and 84 students brought a pen. How
many students brought both pencil and pen?
Answer:
69
Step-by-step explanation:
167-152=15
This is the number of people that only brought pens
167-84=83
This is the number of people that only brought pencils.
167-15-83=69
This is the number of people that brought both pencils and pens.
What is the domain of the function on the graph?
how do I solve this please help!
Answer:
9 x + 8 y = 10 (I)
y = -4x + 7 (II)
One way is to rewrite the second as
4x + y = 7
Now multiply this equation by 8
32 x + 8 y = 56
9 x + 8 y = 10 and now subtract the equations
23 x = 46 this gives x as 2
From equation (II) y = -4 (2) + 7 = -1
So our values are (2, -1)
Check:
(I) 9 x + 8 y = 10 9 * 2 - 8 = 10
(II) 4 x + y = 7 or 4 * 2 - 1 = 7
Or you can substitute equation (II) directly into equation (I)
hey what's the answer
[tex] \sqrt{66 - 4 + 2} [/tex]
(＾∇＾)ﾉ♪
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex] \sqrt{66 - 4 + 2} \\ = > \sqrt{62 + 2 } \\ = > \sqrt{64} \\ = > 8[/tex]
Answer:
[tex] \sqrt{66 - 4 + 2} [/tex]
[tex] \sqrt{64} [/tex]
[tex] \sqrt{8²} [/tex]=±8 is a required answer
I need help with math :)
Answer:
i think its the first one y<1/3x-1
Answer:
The second answer choice
Step-by-step explanation:
2x - 2/2x - 3x + 2/4x
Answer: Solution
−
2
+
2
−
2
x
+
x
2
−2x+2x
Step-by-step explanation: Divide the numbers
2
−
1
⋅
2
2
⋅
−
3
+
2
4
⋅
2
x
Multiply the numbers
2
−
1
⋅
1
−
3
+
2
4
⋅
2
x
−
1
⋅
1
x
−
3
x
+
2
4
⋅
x
2x−1⋅1x−3x+42⋅x
2
−
−
3
+
2
4
⋅
−
1
⋅
2
2
⋅
x
−
3
x
+
2
4
⋅
x
2x−1⋅22⋅x−3x+42⋅x
2
−
1
⋅
1
−
3
+
2
4
⋅
2
x
−
1
⋅
1
x
−
3
x
+
2
4
⋅
x
2x−1⋅1x−3x+42⋅x
Divide the numbers
2
−
−
3
+
2
4
⋅
2
x
−
x
−
3
x
+
2
4
⋅
x
2x−x−3x+42⋅x
2
−
−
3
+
1
2
2
x
−
x
−
3
x
+
1
2
x
2x−x−3x+21x
please help me with this
5 dividido en 1.35.
Answer:
3.7
Step-by-step explanation:
write a rational function that has a vertical asymptote of x=5 and a horizontal asymptote of y=0
Answer:
[tex]y = \frac{1}{x - 5} [/tex]
I’m lost, my deadline in 7 days and I’m virtually brain dead, anyone know dis
Answer:
[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]
Step-by-step explanation:
Kevin needs 2/3 of a yard to make a pillow. he has 3 1/3 yards of fabric. How many pillows can he make?
Answer:
He can make 5 pillows.
Step-by-step explanation:
1 pillow = 2/3 yards
? = 3 1/3 yards ( 10/3 yards)
10/3 ÷ 2/3
10/3 × 3/2= 5 pillows.
What is the initial value of the function represented by this graph? (1 point) A coordinate grid is shown with x- and y-axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 5 with the ordered pair 7, 7. 0 4 5 7
Answer:
7
Step-by-step explanation:
got it right on the test
What values of b satisfy 3(2b + 3)2 = 36?
see question above to solve
Answer:
b = 30°
Step-by-step explanation:
a + b + 90° = 180°
60° + 90° + b = 180°
150° + b = 180° ( subtract 150° from both sides )
b = 30°
Help please
Find the area of the following colored regions?
Answer:
Area = 77.1
Step-by-step explanation:
The are of a right triangle is
[tex] \frac{1}{2} \times base \times height[/tex]
our base and height are 6 for both triangles, so we shall find the area of one of the triangles...
[tex] \frac{1}{2} \times 6 \times 6 = 18[/tex]
multiply this by 2
[tex]2 \times 18 = 36[/tex]
Now find the area of the whole circle
[tex]area = \pi {r}^{2} [/tex]
our radius is 6, therefore:
[tex]area = \pi {6}^{2} = 113.1[/tex]
Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer
[tex]113.1 - 36 = 77.1[/tex]
Answer:
Exact Area = 36pi - 36 square meters
Approximate Area = 77.04 square meters (when using pi = 3.14)
================================================
Explanation:
The circle has radius r = 6 meters. The area of the circle is...
A = pi*r^2
A = pi*6^2
A = 36pi
This is the exact area in terms of pi.
Because we have two right triangles, and each right triangle has the same leg length, we can effectively use the SAS theorem to prove the triangles are congruent. Therefore, both of the triangles shown have the same area. One triangle is a rotated copy of the other.
The area of one of the triangles is base*height/2 = 6*6/2 = 18 square meters. That means two of them combine to an area of 18*2 = 36 square meters.
Subtract this from the area of the circle to get the green shaded area
green area = (circle area) - (triangle areas)
green area = (36pi) - (36)
green area = 36pi - 36
This is the exact area in terms of pi. If you want the approximate area, then replace pi with its approximate value. Let's say we go for pi = 3.14
That means,
green area = 36pi - 36
green area = 36*3.14 - 36
green area = 77.04 square meters approximately
Use more decimal digits in pi to get a more accurate area value.
Scientists studying a bacteria sample find that after starting with 120 cells, the number of cells doubles every hour.
Which of the following equations is a function that will predict C(h), the number of cells after h hours have passed?
Answer:
[tex]C(h)=120*2^h[/tex]
Step-by-step explanation:
[tex]C(h)=120*2^h[/tex]
Doubling needs a base of 2, and the original number will need to be multiplied by two.
I don't know how to explain so I'm going to just give an example.
After an hour the original number doubles so 120*2
After two hours: 120*2*2
After 3 hours: 120*2*2*2
2*2 can also be written as [tex]2^2[/tex]
and 2*2*2 can be written as [tex]2^3[/tex]
So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.
Which alternative is the reciprocal of -1/4?*
A. - 4
B.-1/4
C. 1/4
D. 4
Answer:
b is the correct answer ok
find the general solution to "+′−6=3^2
Answer:
answer is -6=9
Step-by-step explanation:
please help me !!! What's 10.8 / 6 = ? Estimate: 10.8 / 6 =
Answer:
10.8 / 6 = 1.8
Answer:
1.8
Step-by-step explanation:
10.8/6=10.8/6×10/10=108/6=1.8
The ages of each of the basketball players on a team are given.
13, 13, 13, 14, 14, 17, 18, 18
What is the mean age of these players?
O A. 13
B. 14
C. 15
D. 18
Answer:
I'm pretty sure it's 13 sorry if I am wrong
find the area the triangle 18m high 5mm base
Answer:
18 *0.5*5=45
Step-by-step explanation:
Area of triangle is: 0.5 * base * height
What is the domain of the function {(-3, 4), (-1,3), (0, 4), (3, 6)}?
Answer:
Domain: {-3, -1, 0, 3}
Step-by-step explanation:
{(-3, 4), (-1,3), (0, 4), (3, 6)}
Domain is just the x values so:
Domain: {-3, -1, 0, 3}
What is the area of the trapezoid?
2 km
6 km
7 km
6 km
Answer:
504 km
Step-by-step explanation:
What is the area of the parallelogram?
Answer:
A=Bh
Step-by-step explanation:
use that formula for your calculation and it should help hopefully
Piecework-defined function help??
Answer:
10
-1
1
2
Step-by-step explanation:
f(3) this one we use the second question (because the value that x is equal to is between 0 and 4)
3²+1=10
f(6) = -1 because this value is greater than 4
because the second equation has 0 inclusive we use this one for f(0)
0²+1=1
F(-3) for this one the answer is just two because x is less than 0
A warehouse worker is stacking boxes. The height of each box is 20 centimeters. She cannot stack the boxes higher than 5 feet.
1 inch 2.54 centimeters, 1 foot = 12 inches
What is the maximum number of boxes the warehouse worker can stack? Enter the answer in the box.
boxes
Answer:
7 boxes
Step-by-step explanation:
We'll begin by writing convert 5 ft to in. This can be obtained as follow:
1 ft = 12 in
Therefore,
5 ft = 5 ft × 12 in / 1 ft
5 ft = 60 in
Next, we shall convert 60 in to cm. This can be obtained as follow:
1 in = 2.54 cm
Therefore,
60 in = 60 in × 2.54 cm / 1 in
60 in = 152.4 cm
Finally, we shall determine the maximum number of boxes the ware house worker can stack.
Total height = 152.4 cm
Height of 1 box = 20 cm
Number of box =?
Number of box = total height / height of 1 box
Number of box = 152.4 / 20
Number of box = 7
Therefore, the warehouse worker can only stack a maximum of 7 boxes
Please I need help!!!!
Answer:
y=1/4x-1
Step-by-step explanation:
So lets start off by going over what slope intecerp form is.
Slope intercept form looks like this:
y=mx+b
Lets go over the different values in this formula:
y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.
m is always teh slope. The slope is y/x, basically just the change in y over the change in x.
x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.
Lastly we have b. This is what y equals when x is 0.
Lets use this to make our slope intercept.
So we have:
y=mx+b
y and x are not going to have a written value, so we only need to determine m and b.
So lets find b.
B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)
The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).
So b will be: -1/-4, or just 1/4:
y=1/4x+b
Now lets find b.
Lets specificly lookat what y equals when x is 0 on the graph.
We can see the point is (0, -1)
So the y intercept is -1. This means b is equal to -1:
y=1/4x-1
This is your slope intercept!
Hope this helps! :D
Sorry for bad grammar, I am writting on a strange keyboard.