The atmospheric layer responsible for weather is the troposphere.
Can someone solve this so that i can confirm that I’m doing it right?
Answer:
Below in bold.
Step-by-step explanation:
x /18 = 12/10
10x = 18*12
x = 216/ 10
= 21.6.
10/w = 18/24
10/w = 3/4
3w = 40
w = 40/3 = 13 33 to the neaest hundredth.
Aluminum can have a capacity of 2.32 L. How many milliliters of soup can it hold? Helpfull tip (1 L = 1,000 mL)
Answer:
2320 mLStep-by-step explanation:
Convert the volume from L to mL according to capacity of the can.
2.32 L = 2.32 * 1000 mL = 2320 mLAnswer:
2320 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
If the can has a capacity of 2.32 liters, then to calculate how many milliliters it can hold, we need to multiply it by 1000:
⇒ 2.32 liters = 2.32 × 1000
= 2320 milliliters
**To multiply a number by 1000, simply move the decimal point 3 places to the right**
8. A cube container, with original volume 64 in. 3, is being redesigned to increase
its capacity. The expression x + 64 in. ? models the volume of the new cube.
If the volume can increase by a maximum of 100 in. 3, what is the maximum
measurement of the edge of the larger cube, rounded to the nearest tenth?
The volume of the cube container is the amount of space in it, and the maximum measurement of the edge of the larger cube is 5.5 inches
How to determine the maximum edge of the larger cube?The volume of the container is given as:
V = 64 cubic inches
When it increases by a maximum of 100 cubic inches, the new volume becomes
V = 164 cubic inches
The volume of a cube container is calculated using:
V = l³
Where l represents the edge length of the cube
Substitute 164 for V
l³ = 164
Take the cube root of both sides
l = 5.5
Hence, the maximum measurement of the edge of the larger cube is 5.5 inches
Read more about volumes at:
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a cake has a radius of 14cm. what is the area of the cake
Step-by-step explanation:
radius = 14cm
area of circle = [tex]\pi[/tex]r^2
= 22/7 *(14)^2
= 616 cm^2
Answer:
196π cm² or 615.44 cm²
Step-by-step explanation:
Area of a circle: πr²π = 3.14r (radius) = 14 cmSubstitute:
A = πr²
A = 3.14*14²
A = 3.14*196
A = 615.44 cm²
Therefore, the area of the cake is 196π cm² or 615.44 cm²
Hope this helps!
the area of a square is 32 cm. find the length of the diagonal
Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
Answer:
The length of the diagonal is 8 cm.
Step-by-step explanation:
The side length of the square is √32 cms.
The diagonal divide the square into 2 congruent right triangles.
We use Pythagoras Theorem here:
d^2 = (√32)^2 + (√32)^2
d^2 = 32 + 32 = 64
d = √64 = 8.
Help!!!!
20. A class of 27 students is standing in front of a Do-It-Yourself Photo Booth. "Let's get
a picture of every possible pair of us," suggested Bart. "Well, gee," answered Mandy,
"that'd be a lot of pictures." How many pictures exactly?
Answer:
13 or 14 pictures
Step-by-step explanation:
there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically
27 = 2 *x 27 can't make a pair
where x is the one student is removed
number of 26 is left
pictures x = 26 \ 2
x = 27 \ 2 OR x = 13 pictures
x = 13.5
x = 14 pictures
hope it help
There are 13 or 14 pictures can be taken.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
Total students at booth= 27 students
Number of person in a group = 2
Then, the possible number of pictures can be
x = 26/2
x= 13
Since one person is left and have a single photo which shows total 14 pictures.
Learn more about Algebra here:
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A student made two patterns to show multiplication of a decimal by powers of ten. The equations shown for both patterns are incorrect.
Pattern A
3.675. 10 = 3.6750
3.675. 100 = 3.67500
3.675 • 1,000 = 3.675000
Pattern B
3.675.0.1 = 3.0675
3.675.0.01 = 3.00675
3.675 . 0.001 = 3.000675
The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
How to solve the decimals?From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.
In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.
Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
Learn more about decimals on:
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why is math so much work their are like so many steps you need to remember and it's just to much on my brain.
Answer:
ik my head be harding so much
Step-by-step explanation:
like take it out
Factor x +3.0 - 10. Is this a special product? Justify your answer. If it is, which one is it?
.
Answer:(x+5)(x-2) I Dont know what a special product is sry
Step-by-step explanation:
pls help due today :( 26 points promise
A town has a population of 75,000 and is growing every year at a rate of 3.5%. What will the population be in 15 years?
The growth of the town is an illustration of exponential growth function
The population of the town in 15 years is 125651
How to determine the population in 15 years?The given parameters are:
Initial value, a = 75000Rate, r = 3.5%An exponential growth function is represented as:
y = a * (1 + r)^t
So, we have:
y =75000 * (1 + 3.5%)^15
Evaluate
y =125651
Hence, the population in 15 years is 125651
Read more about exponential functions at:
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please help gotta get this gradae up
Answer:
its Y (bottom left graph)
Step-by-step explanation:
i graphed the function on desmos and matched it
ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY
Answer:
Area of polygon = 42.63 mm²
Step-by-step explanation:
Given:
L = 8.7 mmW = 4.9 mmTo find the area of the polygon (rectangle), multiply the length with the width.
⇒ Area of polygon = LW
Substitute the values into the area:
⇒ Area of polygon = (8.7)(4.9) [L = 8.7 mm; W = 4.9 mm]
⇒ Area of polygon = 42.63 mm²
As it's a rectangle
Area:-
Length×Breadthlw8.7(4.9)42.6mm^2Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points
Answer:
x = 53.15
Step-by-step explanation:
use Pythagoras theorem
first find for the triangle that has both sides given and then solve for the other
WRITE INEQUALITY AND SOLVE • A pizza cost $5 plus 25 cents for each topping.
If you have $10, what is the maximum number of
toppings you can get on the pizza?
(.25x)+5 ≤10 or .25x ≤5 i believe both should work.
20 is how many toppings....
you need four quarters to make a dollar and honestly i just counted with my fingers even though i could have just multiplied 5 x 4
sorry for missing the inequality part at first.........
Factor 15x ^2 −42xy+24y^2
Help me please I would really appreciate it
Adjacent angles in parallelograms are supplementary angles thus :
[tex]x + 130 = 180[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
SOMEONE HELP!!!!!!!
Answer:
115.395 min
Step-by-step explanation:
First we find the volume of 6 cm of water. We use the formula:
[tex]\pi *radius^2 *height[/tex]
[tex]\pi *35^2*6 = 23,079 cm^3[/tex]
1 L/min = 1000 cm^3 / min
0.2 L/min = 200 cm^3 /min
[tex]\frac{23,079}{200} = 115.395 min[/tex]
After a 20% discount, the price of an article is 6800$. What is the original price of the article?
Answer:
The total of the discount would be 1,360.
Step-by-step explanation:
If a 6,800$ item had a 20% discount, subtract 6,800 by 20 in percentage, therefore the result would be 1,360 in discount.
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.
–4, –3, 2, 3, 4
Which are actual roots of f(x)
Answer:
The answer is 3 and (-4).
Step-by-step explanation:
We are given an equation 2x² + 2x – 24.
Let us assume that the equation is equal to zero.
2x² + 2x – 24 = 0
Now, divide whole equation by 2 we get,
x² + x – 12 = 0
x² + 4x – 3x – 12 = 0
x(x + 4) – 3(x + 4) = 0
(x – 3) (x + 4) = 0
x = 3, -4
Thus, The actual roots of f(x) are 3 and (-4).
Answer:
-4 AND 3
Step-by-step explanation:
please help in math!! no links please
Answer:
[tex]\orange{ \rule{100pt}{999999pt}}[/tex]
What is the reason for statement 3 in the proof below?
Given: ABCD is a parallelogram
Prove:
Answer: Alternate interior angles theorem
Step-by-step explanation:
Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard
ramp with a 20° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end? Round your answer to the nearest tenth of an
inch if necessary.
Using the slope concept, it is found that the rarmp will rise 12.4 inches at it's highest end.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the horizontal change is of 34 inches with an angle of 20º, hence:
[tex]\tan{20^\circ} = \frac{h}{34}[/tex]
h = 34 x tan(20º)
h = 12.4.
The rarmp will rise 12.4 inches at it's highest end.
More can be learned about the slope concept at https://brainly.com/question/18090623
Answer:I just got it wrong the answer is 11.6
Step-by-step explanation:
The sum of two trinomials is 7x2 - 5x + 4. if one of the trinomials is 3x2 + 2x - 1, then what is the other trinomial?
a.
10x2 - 3x + 3
b.
4x2 - 7x + 5
c.
10x2 + 7x + 5
d.
4x2 - 3x + 3
Answer:
b. 4x^2 -7x +5
Step-by-step explanation:
When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...
(7x^2 -5x +4) - (3x^2 +2x -1)
= (7 -3)x^2 +(-5 -2)x +(4 -(-1))
= 4x^2 -7x +5 . . . . . matches B
What is the degree of the polynomial?
1
2
4
6
Answer:
The answer is 6.
Step-by-step explanation:
The degree is the largest exponent on the variable. And in this case the answer is 6.
Number 11 instructions are to simplify
Answer:
a/(a-4)
Step-by-step explanation:
Simplifying generally means expressing the rational function over a common denominator. Factoring the second term can help us see what that common denominator should be.
___
[tex]\dfrac{3a}{a+4}-\dfrac{2a^2-16a}{a^2-16}=\dfrac{3a(a-4)}{(a-4)(a+4)}-\dfrac{2a(a-8)}{(a-4)(a+4)}\\\\=\dfrac{a(3(a-4)-2(a-8))}{(a-4)(a+4)}=\dfrac{a(3a-12-2a+16)}{(a-4)(a+4)}\\\\=\dfrac{a(a+4)}{(a-4)(a+4)}=\boxed{\dfrac{a}{a-4}}[/tex]
A ball is thrown into the air from a height of 4 feet with an initial velocity of 63 ft/sec. The function that models this situation is h(t) = –16t2 + 63t + 4, where t is measured in seconds and h is the height in feet.
(a) What is the height of the ball after 2 seconds?
(b) What is the maximum height of the ball?
(c) When will the ball hit the ground?
(d) What domain makes sense for the function?
#1
h(2)-16(2)²+63(2)+4-16(4)+126+4-64+13066ft#2
Convert to Vertex form of parabola y=a(x-h)²+k
y=-16t²+63t+4We need calculator now
y=-16(t-1.969)²+66.02On comparing
Vertex=(h,k)=(1.969,66.02)As a is negative so parabola is opening downwards hence vertex is maximum
Max height=66.02ft#3
When h(t) is 0 ball hits the ground
-16t²+63t+4=0-16t²-t+64t+4=0On solving we get t=-1/16 or 4
Take it positive
t=4sAt 4s it reach the ground
#4
Domain is set of all t values (Time axis)
Here
ball starts from 0s and hits 0 again at 4s
So domain=[0,4]
Answer:
(a) 66 ft
(b) 66.015625 feet
(c) 4 s
(d) 0 ≤ t ≤ 4
Step-by-step explanation:
[tex]h(t)=-16t^2+63t+4[/tex]
Part (a)
[tex]t=2 \implies h(2)=-16(2)^2+63(2)+4=66[/tex]
Therefore, the height of the ball after 2 seconds is 66 feet
Part (b)
The maximum height will be the turning point of the parabola.
To find the turning point, differentiate the function:
[tex]\implies h'(t)=-32t+63[/tex]
Set it to zero:
[tex]\implies h'(t)=0[/tex]
[tex]\implies-32t+63=0[/tex]
Solve for t:
[tex]\implies 32t=63[/tex]
[tex]\implies t=\dfrac{63}{32}=1.96875[/tex]
Input found value of t into the function and solve for h:
[tex]\implies h(1.96875)=-16(1.96875)^2+63(1.96875)+4=66.015625[/tex]
Therefore, the maximum height of the ball is 66.015625 feet
Part (c)
The ball will hit the ground when h(t) = 0
[tex]\implies -16t^2+63t+4=0[/tex]
[tex]\implies 16t^2-63t-4=0[/tex]
[tex]\implies 16t^2+t-64t-4=0[/tex]
[tex]\implies t(16t+1)-4(16t+1)=0[/tex]
[tex]\implies (t-4)(16t+1)=0[/tex]
[tex]\implies t=4, t=-0.0625[/tex]
As time is positive, t = 4s only
Part (d)
As time is positive, and the ball hits the ground when t = 4 s, the domain should be restricted to: 0 ≤ t ≤ 4
Which of the following is a rational number?
Answer:
B
Step-by-step explanation:
The square root of 100 is 10, and 10 is a rational number.
help me plsssssssssssaaaa
Answer:
the area would be 11/6 yards^2
or 1 5/6 yards^2 or 1.8333333...yards^2
Step-by-step explanation:
turn 2 3/4 into 11/4 and multiply with 2/3 to get 22/12 divide by 2 to get 11/6 then simplify
Step-by-step explanation:
Turn 2 3/4 into an improper fraction
11/4
Multiply both fractions
2/3 × 11/4 = 22/12
Simplified is 11/6 (you divide 22/12 by 2)
PLEASE ANSWER ASAPPP!! Will get brainliest
Answer:
y=-2x+2
Explanations:
the slope is -2 and the y-intercept is (0,2)