Answer:
666.66 years
Step-by-step explanation:
In this scenario, we need to find at what year both of the stalagmite crystals are at the exact elevation in the cave. So we need an algebraic formula to calculate this. Since the crystal in the ceiling is at a height of 10 feet (height of the cave) and is growing down we need to subtract its growth from its starting position of 10ft. The second crystal is starting at an elevation of 0 and growing upward so we simply need to chart its growth and equal both equations together to find its meet-up point. In this algebraic equation, x will equal the number of years that we need to find.
[tex]10 - 0.01x = 0.005x[/tex] ... add 0.01x to both sides.
[tex]10 = 0.015x[/tex] ... divide both sides by 0.015
[tex]666.66 = x[/tex]
Finally, we can see that both crystals will meet-up after 666.66 years. If we plug this value into the equation we see that the crystals will meet-up at a point 3.33 ft above the cave floor.
Whats the range of the graph?
A- y= -1
B- y< -1
C- x> -1
D-x> 1
Other:________
Answer: Range is y > -1
Explanation:
The lowest point is where the open hole is. This is when y = -1. The open hole means we exclude it from the graph, so we can't reach y = -1
We can have any y value larger than -1 as part of the range. So the range is the set of y values such that y > -1
Side note: the domain is x > 1 for similar reasoning, but we're looking at the possible x values now.
What is the GCF of 96 and 56??
A:14
B:2
C:8
D:16
Answer:
8
Step-by-step explanation:
How do I do this I’m stuck and I have no idea how to do this I’m very behind and need help
Step-by-step explanation:
I don't see all the options.
I only see the options under "angles", as it seems.
anyway, the way to prove this is :
the official definition of similar triangles is :
two triangles are said to be similar if their corresponding angles are congruent (and the corresponding sides are in proportion - but that is automatically true, when all 3 angles are matching).
so, if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. we know this, because if two angle pairs are the same, then the third pair must also be equal (remember, the sum of all angles in a triangle is always 180°). When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
now, we look at the 2 triangles.
the angles QPR and STR are congruent (the same size).
we know also the angles QRP and SRT : they are both 90° and therefore congruent.
and that means that also the third angles PQR and RST are equal and therefore congruent (due to the 180° sum rule).
so, we have all 3 pairs of angles to be congruent, and the two triangles are therefore similar.
HELP HELP HELPPPP question is in the Image pls help as soon as you can
Step-by-step explanation:
the answer is the last one, because if you plug in (5, -6) to both equations you would get equal answer.
Answer:
D
Step-by-step explanation:
5=x and -6=y so 5+-6 or 5-6=-1 so it makes the first equation true. Then plug it in to the second equation. (3)(5)--6 or (3)(5)+6 which = 15+6. 15+6=21. So both are true. Btw Im new to this hope this helps!
Use the figure to complete a-d
Hello people ~
factorise: p² - 13p - 30
Answer:
[tex] {p}^{2} - 13p - 30 \\ \\ {p}^{2} - 15p - 2p - 30 \\ \\ p(p - 15) + 2(p - 15) \\ \\ (p + 2)(p - 15)[/tex]
# Jerry Don is here#
Answer:
[tex]\displaystyle [p + 2][p - 15][/tex]
Explanation:
Find two quantities that when differed to 13, they also multiply to 30. Those will be 2 and 15. The TINIER quantity gets the plus sign because the B-value is −13, therefore 15 gets the minus sign, leaving 2 with the plus sign.
I am joyous to assist you at any time.
(20 points) It has been suggested that the highest priority of retirees is travel. Thus, a study was conducted to investigate the differences in the
length of stay of a trip for pre- and post-retirees. A sample of 697 travelers were asked how long they stayed on a typical trip. The observed results
of the study are found below.
The expected frequencies from the data conducted to investigate the differences in the length of stay of a trip will be 221.7097, 72.471, 49.3881, and 25.7677.
How to calculate the expected frequencies?From the complete question, the expected frequencies from the data about the trip will be calculated thus:
E(240) = (379 × 413) ÷ 706
=221.7097
E(83) =(379 × 153) ÷ 706
=72.471
E(40) = (379 × 92) ÷ 706
=49.3881
E(16) =(379 × 48) ÷ 706
=25.7677
Learn more about expected frequencies on:
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L is the midpoint of MN¯¯¯¯¯¯¯, ML=2x+7 and LN=3x−3. Find ML, LN, and MN.
Answer:
[tex]ML=27\\LN=27\\MN=54[/tex]
Step-by-step explanation:
Since L is the midpoint of MN, by the definition of midpoint:
[tex]ML=LN[/tex]
We can picture the following segment:
M----------L----------N
We know that [tex]ML=2x+7[/tex] and [tex]LN=3x-3[/tex]. Since the two segments are equivalent, we can set them equal to each other:
[tex]2x+7=3x-3[/tex]
Now, let's solve for x. Subtract -7 from both sides:
[tex]2x=3x-10[/tex]
Subtract 3x from both sides:
[tex]-x=-10[/tex]
Divide both sides by -1:
[tex]x=10[/tex]
So, the value of x is 10.
With this, we can find the remaining lengths.
We know that ML is [tex]2x+7[/tex].
Substitute 10 for x. So, the length of ML is:
[tex]ML=2(10)+7=20+7=27[/tex]
We know that LN is [tex]3x-3[/tex]. So, the length of LN is:
[tex]LN=3(10)-3=30-3=27[/tex]
Finally, MN will be the combined lengths of ML and LN. So:
[tex]MN=ML+LN=27+27=54[/tex]
And we're done!
Answer:
jdjssusaudisjdssdIes
y =400(.99)x growth or delay?
Answer:
Delay
Step-by-step explanation:
Because you are multiply x into 0.99, every time the multiplication takes place it will only become 99% of the value of the product of x and 400.
5. Find three solutions of the equation (1 point)
y = 2x - 6
(-2.-10). (1.-4). (2. -1)
(-2,-10), (1.-4), (0.6)
(0.–6). (3.-2) (-2,-10)
(1.-4), (0.-6). (-1,-9)
The answer might be c. not 100% sure sorry
5. Part A: Show another way to find the slope of the line that passes through the points listed in the table. Your way must be different from Avery's method.
. Part B: Justify why Avery's "divide y by x" method will not work to find the slope of every line and given an example (using a table, equation, or graph) in your justification
Answer:
The slope-intercept form
y = mx + bHere m is the slope and b is y-intercept
When b= 0
y = mxand
m = y/xIn this case Avery's method works
When b≠0
m = (y -b)/xIn this case Avery's method brings wrong outcome
Answer:
Step-by-step explanation:
PLEASE HELP!!!!! Due yesterday it’s easy Picture below
Answer:
24) 23.79
25)1.79
These answers are rounded
Step-by-step explanation:
2 320 is invested for two years
at 14% p.a simple interest
At 12% p.a compound interest
which is a better investment and by how much
Answer:
which is a better investment and by how muchIt's 14% p.a simple interest
Step-by-step explanation:
Simple interst:
Answer:
I = $ 649.60
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 14%/100 = 0.14 per year,
then, solving our equation
I = 2320 × 0.14 × 2 = 649.6
I = $ 649.60
The simple interest accumulated
on a principal of $ 2,320.00
at a rate of 14% per year
for 2 years is $ 649.60.
Compound interest
Answer:
A = $2,945.78
A = P + I where
P (principal) = $2,320.00
I (interest) = $625.78
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 12/100
r = 0.12 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,320.00(1 + 0.12/12)(12)(2)
A = 2,320.00(1 + 0.01)(24)
A = $2,945.78
Summary:
A concrete truck loaded with concrete weighs up to 25 tons.
About how many pounds does the loaded truck weigh?
The loaded truck weighs
pounds.
Answer:
50,000 pounds
Step-by-step explanation:
1 ton = 2,000 pounds
What is the area of this figure?
Drag and drop the appropriate number into the box.
Please help!
Thank you! <3
Answer:
441
Step-by-step explanation:
I think
If a book rests on a flat table in what direction does the normal force from the table act on the book?
Answer:
The normal force is the force that a surface makes on an object that lies on that surface.
As the book rest flat in the table, the force acting on the book will be the gravitational force. This force pulls down the book against the table, then the normal force will be opposite to this, then the direction of this force is upwards. Being more exact, the normal force always acts on the normal direction to a given surface, to find the normal of a surface, you need to find the plane of the surface, then any perpendicular line to that surface will be "normal" to the surface (and the normal direction points away from the surface) then if the book is resting on top of the table, the direction of the normal will be upwards..
Then the force that acts on the book is normal to the surface of the table,
I’m slow at these stuff Please I’ll be so glad if someone help with this =^=
Answer:
the <5 = 28
because if u add <1 and <5 it will be a 180°
so....if u 180 - 152 ( which is the angle of 1< )
and
same goes to 2< and <3 but its a 90°
so....<2 = 90° - 36°
= 54
u should get the <4 too....
hope u get it
please mark me brilliant
find measure of w in this trapezoid *please help*
Answer:
34°
Step-by-step explanation:
sum interior measure = (n-1)*180 ; n is the number of sides
of the polygon
(n-1)*180
(4-2)*180
2*180
360° ( sum interior measure )
The angles of the quadrilateral are ( 90 , 90 , w , 146 )
90+90+146+w = 360
326+w = 360
w = 360-326
w = 34°
Hope you get benefit from it
Jace walked a total distance of StartFraction 5 Over 6 EndFraction of a mile to school this week. If he walked the same distance each of the 5 days, how far did he walk each day?
He walks 5/6 of a mile each day.
Multiply the distance each day by the number of days:
5/6 x 5
When multiplying a fraction by a whole number, multiply the numerator ( top number) by the whole number and leave the denominator ( bottom number as is)
5/6 x 5 = (5 x5)/6 = 25/6 now rewrite as a proper fraction:
25/6 = 4 1/6 total miles.
Answer:
4 1/6 miles over the course of 5 days
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINLIEST
Toby now has 98 frisbees. He sneaks into his rival Toblerone’s mansion and finds Toblerone’s frisbee collection. Toblerone has 3 times as many Frisbees as Toby. How many frisbees does Toblerone have?**
Answer:
294
Step-by-step explanation:
98*3=294
Answer:
294
Step-by-step explanation:
It is just 3x98
The L.C.M of 16 and 18 is what? first person Brainliest answer
Answer:
144 is the l.c.m of 16 and 18
explanation:
multiples:
16 - 16, 32, 48, 64, 80, 96, 112, 128, 144
18 - 18, 36, 54, 72, 90, 108, 126, 144
Therefore, 144 is the l.c.m of 16 and 18 which is divisible by both numbers.
Answer:
144
Step-by-step explanation:
First, prime factorize the numbers.
16 = 2⁴
18 = 3² x 2
LCM (16, 18) = 2⁴ x 3²
= 16 x 9
= 144
Solution :-
144
PLEASE HELP ill Mark BRAINLIEST 31 points too
Answer:(-1,7)
Step-by-step explanation:
For what value of k does the equation have no solution? kx - 4 = 5x + 8
Answer:
Your answer is: k = 5+12/x
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
The graph shows the distance cars A and B travel.
Which statement is true about the unit rates shown in the graph?
A. The unit rate for car A is greater because the slope is greater than the slope for car B.
B. The unit rate for car B is greater because the slope is less than the slope for car A.
C. The unit rate for car A is greater because the slope is less than the slope for car B.
D. The unit rate for car B is greater because the slope is greater than the slope for car A.
Answer:
(a) The unit rate for car B is greater because the slope is greater than the slope for car A.
Step-by-step explanation:
We have been given a graph that represents the distance cars A and B travel. We are asked to choose the correct option about our given graphs.
Since slope represents the change in y-value with respect to change in per unit x value, so slope is also unit rate of the graph.
Let us find the slope of car A using points (8,5) and (0,0).
Let us find the slope of car B using points (5,8) and (0,0).
We can see that slope of car B is greater than slope of car A, therefore, option A is the correct choice.
Step-by-step explanation:
what is the missing value of 8/40 = 12/n
Answer:
The answer is 60!
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function , where t is time in months. The area of the pond is modeled by the function . The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Answer:
B. A(r(t)) = 25πt²
Step-by-step explanation:
Find the completed question below
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.
Given
A(t) = πr²
r(t) = 5t
We are to evaluate the composite expression A(r(t))
A(r(t)) = A(5t)
To get A(5t), we will replace r in A(t) with 5t and simplify as shown
A(5t) = π(5t)²
A(5t) = π(25t²)
A(5t) = 25πt²
A(r(t)) = 25πt²
Hence the composite expression A(r(t)) is 25πt²
Option B is correct.
Answer:
Step-by-step explanation:
B . Correct
100cm to 1 km in simplest form
Answer:
100cm = 0.001km
Step-by-step explanation:
100 divided by 100,000=0.001
Answer:
1/100th part of the whole part.
Step-by-step explanation:
Hope this helps :)
what is the equation of the new line?
Answer:
y = 2/3x - 3
Step-by-step explanation:
Given equation :-
y = 2/3x + 2Transformations :-
Shifted down 5 units⇒ Slope remains same, y-intercept decreases by 5Solving :-
New equation ⇒ y = 2/3x + 2 - 5y = 2/3x - 3Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. Shopping is her favorite pasttime and loves buying new things, but she also wants to save money for her college classes. Select the budget that would best help meet her goals. Table A Monthly Budget Budget A Budget B Budget C Budget D Income $1,470 $1,225 $1,470 $1,225 Expenses - Rent Food.
Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. So to save money for her college classes her monthly budget should be less than 725 .
What is budget ?Budget is total plan of income and expenditure of a period .
Here given that Her annual salary as a child care specialist is $14,700 after taxes. and she lives with her older sister and helps with the rent by paying $500 per month.
So money she have after rent can be calculated as:
[tex]14700-12\times500\\\\14700-6000\\\\=8700[/tex]
So her monthly saving after rent is
[tex]\frac{8700}{12} \\\\\\=725[/tex]
So her monthly budget should be less than 725
Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. So to save money for her college classes her monthly budget should be less than 725 .
To learn more about budget visit :https://brainly.com/question/24940564
Answer:
B
Step-by-step explanation:
Edge 2022
have a great day!
i need for homework please answer
Answer:
well, they all give you answers as fractions,
A.=1/9
B.=1/64
C.=1/64
Step-by-step explanation: