Answer:
C
Step-by-step explanation:
The colony will follow an exponential equation. y(x) = 8000*(2)^(t/210). Plug in t=630 and you will get y(x) = 64000
A sky-diver descends from an altitude of 3,332m into the ocean and entered 9 m deep. What is total distance travelled by him after the point of release of parachute, if he opens it after 210m?
Answer:
3131 meters
3332 - 210 = 3122
3122 +9 = 3131 meters
Step-by-step explanation:
Which best describes the incenter of a triangle?
O A. The point where the three altitudes of the triangle intersect
O B. The point where the three medians of the triangle intersect
O C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D. The point where the three angle bisectors of the triangle intersect
Answer:
D. it is the point where the three angle bisectors of the triangle intersect.
Step-by-step explanation:
Because in geometry the incenter of a triangle is deliberated as the center of a triangle.
Help I have 2 minutes left
Answer:
the second one from top coz it is pointed on 2 so dollar 2
If 420 women at a conference comprise 40% of all the people at the conference, how many people are at the conference?
Answer:
1050 people
Step-by-step explanation:
if there are x people at a conference
then 40% of x = 420
40% can be written as 40/100 --> 4/10 --> 2/5
2/5 * x = 420
x = 420 * 5/2
x = 1050
Based on this data, are "being in high school" and "GPA above 3.0" independent events? Yes, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0) No, P(high school ∩ GPA above 3.0) = P(high school) ⋅ P(GPA above 3.0) Yes, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0) No, P(high school ∩ GPA above 3.0) ≠ P(high school) ⋅ P(GPA above 3.0)
Answer:
No, P(high school | GPA above 3.0) ≠ P(high school)
Step-by-step explanation:
Given
See attachment for table
Required
Determine if High school and GPA above 3.0 are independent
Let
[tex]H \to[/tex] High school
[tex]G \to[/tex] GPA above 3.0
For both events to be independent, the following must be true
[tex]P(H\ |\ G) = P(H)[/tex]
From the table:
[tex]P(H) = \frac{H}{Total}[/tex]
[tex]P(H) = \frac{60}{100} = 0.60[/tex]
[tex]P(H | G) = \frac{H\ n\ G}{G}[/tex]
[tex]P(H | G) = \frac{14}{40} = 0.35[/tex]
The test for independence is as follows:
[tex]P(H\ |\ G) = P(H)[/tex]
By comparison
[tex]P(H\ |\ G) \ne P(H)[/tex]
i.e.
[tex]0.35 \ne 0.60[/tex]
Hence, both events are not independent
Use the diagram to determine whether you can assume the statement.
Points A,B, C, and E are coplanar.
Yes or no
Answer:
Yes
Step-by-step explanation:
Mathematically, when points are co-planar, what it means is that they exist in the same plane
Now, looking at the 4 points, we can see that they exist on the same x-like plane that is both perpendicular to like H through C
Hence, we can simply opine that these points exist in the same plane and are essentially co-planar
reduce
0.1 x squared - 8.1 x + 8 = 0 to
2x squared - x + 80 = 0
Answer:
x = 8
x = -10
Step-by-step explanation:
A birdwatcher on a cliff saw an eagle 8 meters below him. Earlier, he had spotted the eagle 9 meters below him. What is the difference from earlier to now? ___ meter(s)
Answer:
1 meter
Step-by-step explanation:
Previous spot of the eagle = 9 meters below him
Present spot of the eagle = 8 meters below him
What is the difference from earlier to now?
Diffetence in the spotting = Earlier position - present position
= 9 meters - 8 meters
= 1 meter
not a real question I just need help to figure it out what is this
Answer:
y=mx+b
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
y = kx+b
Most people write this
y = mx+b where m is the slope and b is the y intercept
A rectangle has a width of 4.9 cm and an area of 81.9 cm².
Which of the following is closest in value to the height of the rectangle? Circle your answer.
16 cm
20 cm
8 cm
25 cm
Instructions : Find EX if JX = 17 plz help I don’t understand
Answer:
EX = 51
Step-by-step explanation:
The 3 intersecting lines in the triangle are medians.
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is
EJ = 2 JX = 2 × 17 = 34 , then
EX = EJ + JX = 34 + 17 = 51
y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y
Answer:
7.2
Step-by-step explanation:
5y = 5 *7.2 = 36
36 ÷ 6 = 6
So, y = 7.2
Find the value of x.
Answer:
25
Step-by-step explanation:
The median of a trapezoid equals one half of the sum of the bases
AC is a median and EB and DF are the bases.
hence AC = 1/2(EB + DF)
We are given that EB = 13 and that AC = 19. And we need to find DF
To do so we plug in what we are given and solve for DF
AC = 1/2(EB + DF)
AC = 19, EB = 13
19 = 1/2(13 + DF)
Now solve for DF
* Multiply both sides by 2*
19 * 2 = 38
1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )
We then have 38 = 13 + DF
* Subtract 13 from both sides *
38 - 13 = 13 - 13 + DF
We get that DF = 25
WILL GIVE BRAINLIEST IF RIGHT!!
determine which of the following statements is true
respond with true or false
right angle has 2 complementary angles
Answer:
True
Step-by-step explanation:
Two angles form a pair of complementary angles
Please help, I need the answer by tomorrow!
Answer:
6, 5, 4
Step-by-step explanation:
Midpoint is exactly half so it would be half the value of triangle ABC's value
12/2=6
10/2=5
8/2=4
6.
These triangles ARE similar! Which reason proves it?
Р
10
U
T
Circle one:
AAN
SSS
SAS
9
12
8
6
SHOW CALCULATIONS to verify they are similar!
R
s
15
Answer:
Step-by-step explanation:
Comparing the triangles in the given questions, the following can be deduced:
5. The scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] ≠ [tex]\frac{9}{7}[/tex]
So that;
QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.
Thus, the triangles are NOT similar.
6. Scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{9}{6}[/tex]
= 1.5
So that;
QR is similar to UT, PR is similar to US, but PQ is similar to TS.
Thus, the triangles are similar by Side-Side-Side (SSS).
7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.
Help anyone can help me do this question,I will mark brainlest.
Answer:
3) 16π cm²
4) 240.625 cm²
Step-by-step explanation:
3. For this problem I'm going to use the formula Area = π × r²
To start off, I'm going to input our value of radius which is 4cm.
π × 4²
Finally, I'm going to square our value "4"
16π cm²
(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be about 50.24 cm²
4. For this problem I'm going to use the formula Area = π × (d/2)²
To begin, I will divide our diameter by 2 to find the radius.
17.5/2 = 8.75
Next, we are going to square our now, radius.
8.75² = 76.5625
Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)
76.5625 × 22/7 = 240.625 cm²
So! This is our final answer!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Sketch the graph of 2x + 3y = 18.
On your sketch, write the values where the graph crosses the r-axis and the y-axis.
Answer:
[tex]\boxed{ \sf Cuts \ x-axis \ at \ (9,0 ).}[/tex]
[tex]\boxed{ \sf Cuts \ y-axis \ at \ (0,6).}[/tex]
Step-by-step explanation:
We need to graph a linear equation and we need to find the point on which it crosses the x and y axis . The given equation is,
[tex]\sf\longrightarrow 2x + 3y = 18 [/tex]
For graphing it's line we need at least two points . hair we can find out the points on which it cuts the x and y axis and then using those two points we can plot its graph.
Step 1 : Put x = 0 in the equation :-
[tex]\sf\longrightarrow 2*0 + 3y = 18 [/tex]
Simplify ,
[tex]\sf\longrightarrow 0 + 3y = 18[/tex]
Add ,
[tex]\sf\longrightarrow 3y = 18[/tex]
Divide both sides by 3 ,
[tex]\sf\longrightarrow \underline{\purple{ y = 6}}[/tex]
Step 2: Put y = 0 in the equation :-
[tex]\sf\longrightarrow 2x + 3*0 = 18 [/tex]
Simplify ,
[tex]\sf\longrightarrow 2x = 18 [/tex]
Divide both sides by 2 ,
[tex]\sf\longrightarrow \underline {\purple{x = 9}}[/tex]
Hence the line cuts y axis on (0,6) and on x axis at (9,0) . Now these two points plot the graph . [ Graph is in attachment ]
Find questions attached.
Show Working.
Answer:
Q5As the opposite angles of a cyclic quadrilateral, A is supplementary with C and B is supplementary with D.
In the trapezoid, angle A is supplementary with D and angle B is supplementary with C.
It means ∠A ≅ ∠B and ∠D ≅ ∠C
Now, ∠ABD ≅ ∠ACD as both angles intercept same arc AD.
So we have:
m∠B = m∠ABD + m∠DBC = 35° + 72° = 107°andm∠C = 180° - m∠B = 180° - 107° = 73°So angles B and A are 107° and angles D and C are 73°
Q6PXR is exterior angle of triangle XSR.
Angles Q and S are supplementary as opposite angles of a cyclic quadrilateral QPSR.
m∠PXR = m∠XRS + m∠XSR = 20° + (180° - 80°) = 120°WILL GIVE BRAINLIEST IF UR RIGHT!
Find g(x), where g(x) is the translation 6 units up of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
[tex]g(x)=x^2+6[/tex]
Step-by-step explanation:
Hi there!
We're given [tex]f(x)=x^2[/tex], and that [tex]g(x)[/tex] is a translation of [tex]f(x)[/tex] 6 units up.
This means that [tex]g(x)=f(x)+6[/tex].
[tex]g(x)=f(x)+6[/tex]
Rewrite the equation
[tex]g(x)=x^2+6[/tex]
This would be our final equation. It does not look like the form [tex]a(x-h)^2+k[/tex], However, when rewritten as [tex]g(x)=1(x-0)^2+6[/tex], we can tell clearly that it is.
I hope this helps!
write down the pair of integer whose
(a) sum is -5
(b) sum is 9
(c) sum is 0
(d) difference is -20
Answer:
(a) -9 and 4
(b) 5 and 4
(c) -6 and 6
(d) 19 and -1
integers r numbers like 1, 2, 3, -3, -1, etc. basically they cannot have decimals or fractions or anything weird, they r whole numbers that can be negative or positive.
How many tacos could you buy with your money? If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
You can buy 40 tacos
You have enough money
Step-by-step explanation:
Given
[tex]Amount = \$20[/tex]
[tex]Taco = 20[/tex]
[tex]Unit\ Cost = \$0.50[/tex] --- missing from the question
Required
Determine if you have enough amount
The number of Tacos that $20 can afford is calculated as:
[tex]Tacos = \frac{Amount}{Unit\ Cost}[/tex]
So, we have:
[tex]Tacos = \frac{20}{0.50}[/tex]
[tex]Tacos = 40[/tex]
[tex]40 > 37[/tex] -- i.e. the number of Tacos will go round the 37 students
Hence, you have enough money
Anton has 4 pennies, 1 dime, and 2 dollar bills. He buys a granola bar for $0.89. How much money does he have left?
Answer:
$1.25
Step-by-step explanation:
2 × $1 = $2
4 × 1 = 4
1 × 1 = 10
$2 + 4 + 10
$2.14
$2.14 - $0.89
$1.25
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answer:
one
Step-by-step explanation:
If two lines are not parallel, they will intersect one time as shown by the graph given.
Where the two graphs intersect is the solution to the system.
Each day a company uses 7/10 of a box of paper. How much paper was used after 9 days?
Answer:
6 3/10 box
Step-by-step explanation:
7/10 box * 9 = 63/10 box = 6 3/10 box
find the missing side length in the image below
Answer:
Step-by-step explanation:
Please help me find the area of this figure
Answer:
=51.63 m^2
Step-by-step explanation:
First find the area of the triangle
A = 1/2 bh = 1/2(3) * 5 = 7.5
Then find the area of the rectangle
A = l*w = 5*6 = 30
Then find the area of the semi circle, which is 1/2 the area of the circle
The diameter is 6 so the radius is 3
A = 1/2 pi r^2 = 1/2 (3.14) (3) ^2 = 14.13
Add the areas together for the total area
7.5+30+14.13
=51.63
PLEASE HELP!!!!
No links PLZ
Answer
(36)^1/2=(2^5)^1/2=6
Explanation
36 is equivalent to 2^5.
36^1/2 is equivalent to 6. The numerator of the fraction is the power and the denominator is the root. 36^1/2 is the same thing as the square root of 36, which is 6.
Someone please help out
Answer:
Option D
Step-by-step explanation:
Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.
Explain why y +1 = 1.2(x+2) and y-5= 1.2(x – 3) represent the same line, despite having
different equations.
Answer:
You can manipulate both equations into y = mx + b format and end up with the same result of y = 1.2x + 1.4
Step-by-step explanation:
y + 1 = 1.2(x + 2)
y = 1.2x + 2.4 - 1
y = 1.2x + 1.4
y - 5 = 1.2(x - 3)
y = 1.2x - 3.6 + 5
y = 1.2x + 1.4
So essentially, they're the same equation but in different forms.