Answer:
[tex]\sqrt{-25} = 5i[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{-25[/tex]
Required
An equivalent
We have:
[tex]\sqrt{-25[/tex]
Express -25 as -1 * 25
[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]
Split
[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]
[tex]\sqrt{25} = 5[/tex], so:
[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]
[tex]\sqrt{-1} = i[/tex] --- complex numbers
So:
[tex]\sqrt{-25} = i * 5[/tex]
[tex]\sqrt{-25} = 5i[/tex]
Hence, the equivalent is (D)
Solve and explain please
Answer:
x = 14Step-by-step explanation:
7x + 9 = 9x - 19. [Corresponding Angles]
=> 9x - 19 = 7x + 9
=> 9x - 7x = 19 + 9
=> 2x = 28
[tex] = > x = \frac{28}{2} [/tex]
=> x = 14 (Ans)
Need help like right now please
Answer:
X= 12√3
y=12
Step-by-step explanation:
To find x
Cos30°=x/24
√3/2=x/24
x=12√3
To find y
Sin30°=y/24
1/2=y/24
y=12
hope it helps
have a great day!!
Harry's mother is 64 inches tall, and his father is 6 feet tall. How many inches taller is Harry's father than his mother?
Help please
Answer:
Harry's father is 8 inches taller than his mother.
Step-by-step explanation:
1 foot=12 inches
12x6=72
72-64=8
Can I please have Brainliest?
Find the equation of the line that is perpendicular to y = 2x + 4 and passes though the point (2,-2).
A)
B)
y=-x-1
y - 2x + 1
D)
y = -2x + 1
Perpendicular lines have slopes that are negative reciprocals of each other, so since the slope of the given line is 2, the slope of the line we want to find is -1/2.
Substituting into point-slope form,
[tex]y+2=-\frac{1}{2}(x-2)\\\\y+2=-\frac{1}{2}x+1\\\\\boxed{y=-\frac{1}{2}x-1}[/tex]
I
4. Two rectangular corrals are to be made from 100 yds. of fencing. If a rancher wants the
total area to be maximized, what should the dimensions of the coral be?
The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Measurement is a branch of mathematics used in determining the area and volume of an object.
From the question,
Let the length of the two rectangular corrals be x
Let the length of the three fence section be y
Note that the area of the rectangle A = length * width
A = xy .....1
Also, since the rectangular corrals are to be made from 100 yd, then;
3x + 2y = 100 ..... 2
Divide through by 2
3x/2 + 2y/2 = 100/2
1.5x + y = 50
y = 50 - 1.5x .... 3
Substitute equation 3 into 1 to have:
A = x(50-1.5x)
A = 50x - 1.5x²
Since the total area is to b maximized, this means that:
dA/dx = 0
dA/dx = 50 - 3.0x
0 = 50 - 3x
3x = 50
x = 50/3 yards
Substitute the value of x into equation 3:
y = 50 - 1.5x
y = 50 - 1.5(50/3)
y = 50 - 25
y = 25yards
Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Learn more here: https://brainly.com/question/10369514
What is the surface area of a storage box that measures 19 centimeters by 16 centimeters by 14 centimeters
Answer:
surface area = 2(length× breadth) +2(length ×height) +2(height×breadth
Statistics urgent
Use n=6 and p=0.85 to complete
Answer:
I cant see anything on that picture. Wish I could help bruv. I wish I could help. It's a shame innit.
Multiply 15 by 9 then divide by 2 fraction
Answer:
15x9 is 130 but, what u mean by divided by 2 fraction?
Step-by-step explanation:
135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2
what is 0.065 rounded to the nearest tenths?
please help :)
Answer:
Step-by-step explanation:
0.1 ;-;
I really need help please help
Answer: tan^-1(5/8) = 32 degrees from horizontal line
Step-by-step explanation: tan (Alfa) = 2000 / 3200 because
Angle from horizontal line. 2000/3200 = 20/32 = 5/8
9+7 porfis es para aorita ayudemme
Answer:
16
Step-by-step explanation:
Find the mean of the data in the dot plot below.
Answer:
the mean is 83.6
Step-by-step explanation:
Answer:
The mean is 83.6 cm
Step-by-step explanation:
81 + 83 +84 + 85 + 85 = 416
416 divided by 5 = 83.6
Fond the value of x.
Answer:
75
Step-by-step explanation:
The sum of internal angles in a triangle is equal to 180
58 + 47 + x = 180
105 + x = 180 subtract 105 from both sides
x = 75
This is an acute triangle so each angle has to be less than 90 degrees in total we already have 105 and then lastly you can find out the last angle is kind of the same angle of angle 58 so its closer to 58 than 47 this is just a clue to the answer because I cant measure the angle from over the screen.
What is the diameter of a hemisphere with a volume of 69292 in?, to the
nearest tenth of an inch?
Answer:
64.2 in
Step-by-step explanation:
From deltamath
Yeah
Will give brainliest answer
Answer:
p(4)=7
p(-9)=-9
this solution is correct
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
120%
B
C
Angles are not drawn to scale.
Enter
Answer:
the answer woiuld be 60
Step-by-step explanation:
supplementary angles are 180
180-120=60
x=60
A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2388, How many children, students, and adults attended?
___ children attended.
___students attended.
____adults attended.
Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:
[tex]C = Children; S = Students; A = Adults[/tex]
For the capacity, we have:
[tex]C + S + A = 329[/tex]
For the tickets sold, we have:
[tex]5C + 7S + 12A = 2388[/tex]
Half as many as adults are children implies that:
[tex]A = \frac{C}{2}[/tex]
Required
Solve for A, C and S
The equations to solve are:
[tex]C + S + A = 329[/tex] -- (1)
[tex]5C + 7S + 12A = 2388[/tex] -- (2)
[tex]A = \frac{C}{2}[/tex] -- (3)
Make C the subject in (3)
[tex]C = 2A[/tex]
Substitute [tex]C = 2A[/tex] in (1) and (2)
[tex]C + S + A = 329[/tex] -- (1)
[tex]2A + S + A = 329[/tex]
[tex]3A + S = 329[/tex]
Make S the subject
[tex]S = 329 - 3A[/tex]
[tex]5C + 7S + 12A = 2388[/tex] -- (2)
[tex]5*2A + 7S + 12A = 2388[/tex]
[tex]10A + 7S + 12A = 2388[/tex]
[tex]7S + 22A = 2388[/tex]
Substitute [tex]S = 329 - 3A[/tex]
[tex]7(329 - 3A) + 22A = 2388[/tex]
[tex]2303 - 21A + 22A = 2388[/tex]
[tex]2303 +A = 2388[/tex]
Solve for A
[tex]A = 2388 - 2303[/tex]
[tex]A = 85[/tex]
Recall that: [tex]C = 2A[/tex]
[tex]C = 2 * 85[/tex]
[tex]C = 170[/tex]
Recall that: [tex]S = 329 - 3A[/tex]
[tex]S = 329 - 3 * 85[/tex]
[tex]S = 329 - 255[/tex]
[tex]S = 74[/tex]
Hence, the result is:
[tex]C = 170[/tex]
[tex]S = 74[/tex]
[tex]A = 85[/tex]
Answer:
Down Below
Step-by-step explanation:
The answer is actually
162 children
86 students
81 adults
162x5=810
86x7=602
81x12=972
I found the original problem and the total ticket sale was $2384.
So I wrote the answers for the original problem just in case!
Ty for your time!
1 point
3. The dot plot shows the number of hours the students in Mrs. Ferro's
class volunteer each month. Which of the following statements is not
correct?
MRS. FERRO'S CLASS
+
11
+
12
4 5 6 7
10
8 9
HOURS
A. There are a total of 17 students in Mrs. Ferro's class.
B. Exactly 7 students volunteered for less than 7 hours.
C. Less than half of the students volunteer for 9 hours or more.
D. The range is data was 5 hours.
Answer:
B
Step-by-step explanation:
its not A cause theres 17 kids
its not D
its not c cause less than half of the students volunteer for 9 hours or more
the only one it can be is B because it's not correct theres exactly 6 students less than 7 hours not 6
A tool set is on sale fro $424.15. The original price of the set was $499.00. What percent of the original price is the sales price. (find percent)
Answer:
499-424.15=74.85
499:100=4.99
74.85:4.99=15 is the percent of the discount
100-15=85 is the percent of the original price that you pay
Step-by-step explanation:
Sam, a marketing manager for XYZ big box stores, is trying to determine if there is a relationship between shelf space (in feet) and sales (in hundreds of dollars). To do this, Sam selected the top 12 producing locations. The regression results produced the following adjusted R2 values: Model 1: 0.8874 and Model 2: 0.6028. Which model is more suitable of a prediction?
Answer:
Model 1
Step-by-step explanation:
The model with higher adjustable R2 values is more suitable for the prediction showing the relationship between shelf space and sales. This is simply because the Higher the value, the more accurate its result will be as regards the prediction
You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you sell 42 magazine subscriptions. a. Write a system of linear equations that represent the situation.
b. How many magazine subscriptions did you sell?
c. How many magazine subscriptions did your friend sell.
Answer:
b. you sold 17
c. your friend sold 25
Step-by-step explanation:
you=y your friend=x
y=x-8
42=x +y
42=x+(x-8)
42=x+x-8
42=2x-8
50=2x
25=x
Use x to solve for y...
y=25-8
y=17
x2+4x+3 solve for x.
Answer:
(x+1)(x+3)
Step-by-step explanation:
Let's factor x^2+4x+3
x^2+4x+3
The middle number is 4 and the last number is 3.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 4
Multiply together to get 3
Can you think of the two numbers?
Try 1 and 3:
1+3 = 4
1*3 = 3
Fill in the blanks in
(x+_)(x+_)
with 1 and 3 to get...
(x+1)(x+3)
use the laws of sine and cosine to find the missing Dimension part 3
Find the f to the nearest whole number
9514 1404 393
Answer:
12 or 103
Step-by-step explanation:
The given angle is opposite the shorter side, so there will be two solutions.
In order to find f, we need to know angle F. We can find that by first finding angle E.
E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°
F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}
Then the measure of f is ...
f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})
f = {103.29, 11.59}
Side f is either 12 or 103.
Answer:
103Step-by-step explanation:
Find ∠E
sin E / 71 = sin 36° / 62sin E = 71 (sin 36°) / 62sin E = 0.673m∠E = arcsin (0.673)m∠E = 42° (rounded)Find m∠F
m∠F = 180° - (36° + 42°) = 102Find f
sin 102° / f = sin 36° / 62f = (62 sin 102°) / (sin 36°) f = 103 (rounded)The usual price of a clock was $60. At a sale, it was
sold at a discount of 20%.
a) How much was the discount?
b) Find the selling price of the clock.
Answer:
$12 off w discount
$48 selling price
Step-by-step explanation:
Answer:
a. 20%=$12.00 b. price was $48.00
Step-by-step explanation:
60*20%=12
60-12=48
What is the value of the expression below when x equals 4? 13 + 13x
Answer:
the answer is 50
Step-by-step explanation:
A bear weighs 4,521 grams. How much does the bear weigh in kilograms
Answer:
A bear weighing 4,521 grams would weight 4.521 kilograms
A 20 ft. beam leans against a wall. The beam
reaches the wall 13.9 ft. above the ground.
What is the measure of the angle formed by the
beam and the ground?
Answer:
a 44°
Step-by-step explanation:
Think of the right triangle formed by the beam, the ground, and the wall.
The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin A = opp/hyp
sin A = 13.9/20
sin A = 0.695
A = sin^-1 0.695
A = 44°
A student paid 256.37 Ghana cedis in school fees. how much has he paid to the nearest hundred?
Answer:
256.4
Step-by-step explanation:
I have 6 congruent faces.
Answer: The best choice from the provided options is the "Cube".
Step-by-step explanation: The cube is also called "rectangular hexahedron," because it has 6 congruent (meaning figures that are identical in form) faces.
The sum of two numbers is 24. Three times the smaller numbers is 3 less than twice the larger number. Find the numbers.
Answer:
9, 15
Step-by-step explanation:
x = smaller number
y = larger number
system of equations:
x + y = 24
3x = 2y - 3
substitution method:
x = 24 - y
3(24 - y) = 2y - 3
72 - 3y = 2y - 3
72 = 5y - 3
75 = 5y
y = 15
x + 15 = 24
x = 9