Answer: 2cm
Step-by-step explanation:
From the question, we are informed that a microscope dilates the image of an organism 4 times its original dimensions and that the radius of a circular organism has seen by a microscope is 8 cm.
Since the microscope makes the objects 4 times bigger, then the original radius will be:
= 8cm/4
= 2cm
The radius of the actual organism is 2cm.
Answer:
32cm
Step-by-step explanation:
Solve: 3(-x+2) < 15
A
X>7
B
x < 3
C x<->
D x>-3
Answer:
D x>-3
Step-by-step explanation:
3(-x+2) < 15
-3x + 6< 15 (Subtract 6 from both sides)
-3x < 9 (Divide 3 on both sides)
x>-3 (Flip the inequality because the variable was negative)
Match the function with its graph. a. 1C, 2B, 3D, 4A c. 1D, 2A, 3C, 4B b. 1A, 2D, 3B, 4C d. 1A, 2B, 3C, 4D Please select the best answer from the choices provided A B C D (answer is C)
Answer:
The correct answer is "Option C".
Step-by-step explanation:
Given:
[tex]\bold{ 1) y= -\tan (x- \frac{\pi}{2})}\\\\\bold{ 2) y= \tan (x+ \frac{\pi}{2})}\\\\\bold{ 3) y= -\cot (x- \frac{\pi}{2})}\\\\\bold{ 4) y= \cot (x+ \frac{\pi}{2})}\\\\[/tex]
solve the above equation:
[tex]\Rightarrow 1) \ y= -\tan (x- \frac{\pi}{2})\\\\\Rightarrow \ y= \tan (\frac{\pi}{2}-x)\\\\\Rightarrow \ y= \cot x \ \ \ \ \ \bold{ that \ matchs \ graph \ D}\\\\ \Rightarrow 2) \ y= \tan (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= - \cot x \ \ \ \ \bold{ that \ matchs \ graph \ A}\\\\[/tex]
[tex]\Rightarrow 3) \ y= -\cot (x- \frac{\pi}{2})\\\\\Rightarrow \ y=\cot ( \frac{\pi}{2}-x)\\\\\Rightarrow \ y=\tan x\ \ \ \ \bold{that \ matchs \ graph \ C}\\\\[/tex]
[tex]\Rightarrow 4) \ y= \cot (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= \cot (\frac{\pi}{2}+x)\\\\\Rightarrow \ y= \ -tan x \ \ \ \ \ \bold{ that \ matchs \ graph \ A}[/tex]
The final answer is "Option C".
Answer:
c
Step-by-step explanation:
A cuboid has a base of 12. 5 cm by 20 cm. holds exactly 1 litre of water. What is the height.
Answer:
4 cm
Step-by-step explanation:
V=L×W×H
V=1 litre = 1000 cm³
H= V/LW
1000/(12.5×20)=4
height= 4cm
Write the standard equation of a circle with center (-9,-4) and radius 15.
(x + 9)2 + (y + 4)2 = 5
(x + 4)2 + (y + 9)2 = 5
(x - 4)2 + (y- 9)2 = 5
(x - 9)2 + (y - 4)2 = 5
Answer:
Equation of a circle:
radius = the sq. rt of (x - h)^2 + (y - k)^2
Plug in the values for the center of a circle and the radius:
15 = the sq. rt of (x + 9)^2 + (y + 4)^2
(x + 9)^2 + (y + 4)^2 = 225
The answer is A or the first one.
Jack wants to purchase a DVD player whose price was $62.50 . He has $50 only. How much more money does Jack need to purchase the DVD player?
-must have:)..
step by step..
has to make scene
thank you and stay safe:)
Answer:
he needs 12.50 left
Step-by-step explanation:$62.50-$50
Answer:$12.50
Step-by-step explanation: This is a simple subtraction problem. You take the amount of the DVD player ( which is $62.50 ) and subtract the amount of money Jack has on him ( which is $50 ).
$62.50 - $50.00 = $12.50
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!The coordinate of point A is -7 and the coordinate of point D is -2.
Find the distance between the points A and D.
Answer:
So we can first use the distance formula which is for 2 dimensional but seen as we're in 1 dimensions we dont have to use it. So we can just get the distance between them using a formula I made -
|a-d| = distance
So if we use that formula we can get that -7-(-2) = -7+2 = -5. Then take the absolute value which is 5.
Therefore the answer is
5 is answerMichelles regular hourly wage at the candy factor is $9.86 for a 35- hour work week. She is paid double time for working on a holiday. Last week she worked 10 hours overtime on a holiday. How much more did she earn last week than she earns in a 35-hour work week?
Show that you can factor the expression x2y - 12 + 3y - 4x2 by grouping in two ways. PLZ HELP WILL MARK BRAINLIEST
Answer: I got this hope this helps
(-y)(-3x)+14
Step-by-step explanation:
I will give u 100 points and mark u as branniest if you can answer this question Solve for y. y + 19 = 25 –44 –6 6 44
Answer:
X= 6
Step-by-step explanation:
Do the opposite instead of addition do subtraction to get x
25 minus 19
The mean of three numbers is 4. Two of the numbers are shown below. What is the missing number? 1, 9, ?
If the mean is 4 then the missing number will be 2.
What is mean?The mean is the average of all the data values present in the data set.
Mean=sum/number
How to calculate mean?Let the missing number be x in this way mean will be
(1+9+x)/3=4
10+x=12
x=2
Hence if mean is 4 then the missing number will be 2.
Learn more about mean at https://brainly.com/question/1136789
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PLS HELP ASAP PLSsss
Answer:
side c i think
Step-by-step explanation:
Someone help me out please I can’t figure out this question
Answer:
She should have added 3, not subtracted 3, to both sides
Step-by-step explanation:
this problem calls for the inverse of operations
[tex]x-3=7\\\\\\3+x-3=7+3\\\\x=10[/tex]
Answer:
She should have added 3, not subtracted, to both sides
Step-by-step explanation:
You're trying to get X by itself and to do that you need to add 3 to cancel out the -3.
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to and the measure of angle 1 is degrees. The measure of angle 8 is degrees. *please hurry*
Answer:
x = 13
Angle 1 = 150 degrees
Angle 8 = 30 degrees
Step-by-step explanation:
11x + 7 + x + 17 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 13
11(13) + 7 = 150
(13) + 17 = 30
The co-interior angles are solved and x = 13
The measure of angle 1 = 150°
The measure of angle 1 = 30°
Given data:
Angles in parallel lines are angles that are created when two parallel lines are intersected by another line.
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
The angles 1 and 8 are co-interior angles.
So, 11x + 7 + x + 17 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 13
So, the measure of angle 1 = 11(13) + 7 = 150°
The measure of angle 8 = (13) + 17 = 30°
Hence , the parallel lines are solved.
To learn more about angles in parallel lines click :
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The complete question is attached below:
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to and the measure of angle 1 is degrees. The measure of angle 8 is degrees.
find the value of p in the equation 2p-1 over 5= p-1 over 3
Answer:
p = -2
Step-by-step explanation:
(2p -1)/5 = (p-1)/3
Using cross products
(2p-1) *3 = (p-1)*5
Distribute
6p-3 = 5p -5
Subtract 5p from each side
6p-5p -3 = 5p-5p -5
p -3 = -5
Add 3 to each side
p-3+3 = -5+3
p =-2
Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n.
a number subtracted from 46 is -21
a
46-n=-21
n - 67
b.
46-21 = 1
n = 67
C.
46 - 21 = n
n = 25
d.
46-n--21
n = 75
The answer would be B.
46
-67
-------
-21
I checked my math.
Answer: A. 46 - n = -21
n=67
Step-by-step explanation:
edge
Please help me with my algebra.
Answer:
it is B
Step-by-step explanation:
the answer is B you have to start wit rearrange the equations
what is the equation of a line that passes through the point (-2,5) and is parallel to a line with a slope of 3?
Answer:
Step-by-step explanation:
y - 5 = 3(x+ 2)
y - 5 = 3x + 6
y = 3x + 11
Brendan ran a total of 8 miles over the course of 4 track practices.
How many track practices would it take for Brendan to run 10 miles? Solve using unit rates.
Answer:
5 track practices
Step-by-step explanation:
So if he ran 8 miles in 4 track practices, he ran 2 miles in each.
So it would take 5 track practices to do it.
The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that
varies from the normal by more than 3°F. Create an absolute value inequality and solve it to determine what body
temperatures would be considered unhealthy.
Answer: | t- 98.6 | ≤ 3
Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality
.
| t- 98.6 | ≤ 3
Where t is the body temperature.
The absolute value inequality has 2 solutions:
1st solution
t-98.6≤ 3
t ≤ 3+98.6
t≤ 101.6
2nd solution
-(t-98.6) ≤ 3
-t+98.6 ≤ 3
98.6-3 ≤ t
95.6≤ t
Both:
95.6≤ t ≤ 101.6
Temperatures less than 95.6 and higher than 101.6 will be considered unhealthy.
The graph of a line in the xy - plane passes through the point (8,6) and
crosses the y axis at the point(0, -18). What is the x-intercept of the
line?
Answer:
(6,0)
Step-by-step explanation:
First, let's find the line. We can do that by using the slope-intercept form of a line which is y = mx + b where m and b are the slope and y-intercept respectively. We know b = -18 and we can find m by doing (-18 - 6) / (0 - 8) = -24 / -8 = 3. Therefore, the equation of the line is y = 3x - 18. To find the x-intercept, we'll set y equal to 0. We get 0 = 3x - 18 → 3x = 18 → x = 6. Therefore, the x-intercept is (6,0). Hope this helps!
HELP MEEEEEE!
Which type of account would you suggest Tyler deposit his money into: the account with simple interest or compound interest? Justify your reasoning.
Answer:
Tyler should be suggested to deposit his money in Compound interest because it compound the interest for all the Successive years which give more interest then Simple interest
Answer:
compound interest
Step-by-step explanation:
Hope it helps.
PLEASE HELP ME I WILL AWARD BRAINLIEST AND 25 POINTS IF YOU GET THIS QUESTION!!! Find area of the following shape if the vertices are X=(1,1), Y=(2,5), Z=(5,5), W=(8,1)
Answer:
80 units
Step-by-step explanation:
Area of trapezoid: a+b/ 2 * H
a = top, b= bottom, H = height
6+14/2 * 8
20/2 *8
10*8
80
Answer:
20
Step-by-step explanation:
To find area using coordinates, you would take the y-value of the first coordinate and the x-value of the second coordinate and multiply them. Then, take the x-value of the first coordinate and multiply it with the second y-coordinate. Take the second number and subtract it from the first number. for multiple coordinates, you would multiply the first and the second, the second and the third, and so on. Once you reach the last coordinate, just multiply it by the first again. then, take all of the numbers, from multiplying your coordinates and add them together and divide them by 2 to find your area.
We would start with coordinate (8,1) here because it's letter variable is W, which is first of the others alphabetically.
(8,1) (1,1)
1 x 1 = 1
8 x 1 = 8
1 - 8 = -7
next coordinate:
(1,1) (2,5)
1 x 2 = 2
1 x 5 = 5
2 - 5 = -3
next:
(2,5) (5,5)
5 x 5 = 25
2 x 5 = 10
25 - 10 = 15
next:
(5,5) (8,1)
5 x 5 = 40
5 x 1 = 5
40 - 5 = 35
-7 - 3 + 15 + 35 = 40
40/2 = 20
Which of the following is not an identity?
Find the complete factored form of the
polynomial:
6xy - 8x2
Answer:
2x(3y-4x)
Step-by-step explanation:
6xy - 8x^2
Factor out the greatest common factor of 2x
2x*3y -2x*4x
2x(3y-4x)
circle is centered at (4,-6) and has a radius of 8. What is the equation of the circle?
Question 3 options:
a) (x−4)2+(y+6)2=64
b) (x+4)2+(y−6)2=16
c) (x+4)2+(y−6)2=64
d) (x−4)2+(y+6)2=16
Evaluate: 8x6 + (12-4) /2
Answer:
8x6=48+10=98 answer is 98 i think
Step-by-step explanation:
The dimensions of a rectangle are increased by a scale factor of 2. If the original rectangle had an area of 16 square feet, what is the area of the larger rectangle?
Answer:
64 ft squared.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Miles's house is 13 meters long. How many centimeters long is Miles's house?
Answer:
1300cm
Step-by-step explanation:
1 meter has 100cm, so 13 meters is 13 * 100cm = 1300cm
The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of r?
х
O 392nt in
O 408rt in
0 112r in
O 117rt in
Answer:
Hi there!
The correct answer is: 408r in
Step-by-step explanation:
The formula for the volume of the cone is: V = [tex]\frac{1}{3}[/tex]π[tex]r^{2} h[/tex]
where h stands for height, in this case it's y=25
r stands for radius, in this case it's 7 in
when it says leave in terms of "r" it simply means don't multiply the π in
Answer:
392nt in
Step-by-step explanation:
Write an equation of the line that passes through (-5, -2) and is parallel to y=
3x+1.
Answer:
b = 6
Step-by-step explanation:
y = 2x = + b
6 = 2 ×(0) + b
b = 6
