Answer:
The heaviness of displace fluid is equivalent to the buoyant force on a object that is submerged. When you get the mass from this, you may divide it by the volume in order to obtain the measure of the average density of the object.
Step-by-step explanation:
Find the 14" term
7, 14, 28, 56,
Step-by-step explanation:
it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.
and then I see
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
ok, so the sequence is created by always multiplying by 2.
a1 = 7
a2 = a1 × 2 = 7 × 2 = 14
a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28
an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)
a14 = 7 × 2¹³ = 7 × 8192 = 57,344
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:
5 1/3 - 2/3 ( this is fractions)
5 1/3 - 2/3
= (5 – 0) + (1/3-2/3)
= 5 + 1-2/3
= 5 +-1/3
= 4 2/3
in fraction:
= 4 2/3
in decimal:
= 4.6666666666667
2. What is the solution to the following equation? 2.2(4a + 5) = 1.8a - 3 A. a = -7 B. a = -2 C. a = 2 D. a = 7
Answer:B.a= -2
2.2(44a+5)=1.8a-3
8.8a+11=1.8a-3
8.8a-1.8a=-3-11
7a=-14
:a=-2
Step-by-step explanation:
Thirty percent of what number is 123?
The answer is 410
Hope this helps!!
Answer:
30% also means 30/100 in fraction form.
(Think of the root 'per' in percent to be per a 100.)
The keyword 'of' means multiplication.
'X' will be the unknown number aka the part that says ('-what number').
And 123 will represent the result.
Set up equation;
30/100 · x = 123Then solve for x;
30/100x = 1230.3x = 123÷ 0.3 ÷ 0.3x = 410So your answer is 410.
find the area of a circke with a radius of 9 mm. round to the nearest tenth. use 3.15 or 22/7 for Pi.
Answer:
254.3 mm^2
Step-by-step explanation:
Area of a circle: A = π*r^2
π (pi) = 3.14
r (radius) = 9 mm
Substitute 3.14 for pi and 9 for radius:
A = π*r^2
A = 3.14*9^2
A = 3.14*81
A = 254.34 mm^2
Round to the nearest tenth:
254.34 ==> 254.3
Therefore, our final answer is 254.3 mm^2
Hope this helps!
Find the distance between the points
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]
What is the value of the x-coordinate of point A?
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:
Part 1: find measure of X
Part 2: find measures of PS and QR
Answer:
Step-by-step explanation:
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]
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.
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
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:
https://brainly.com/question/11464095
28x+1=32x-1 solve for x
Answer:
x = 1/2
Step-by-step explanation:
28x + 1 = 32x - 1 <== subtract 28x from both sides
-28x -28x
1 = 4x - 1 <== add 1 to both sides
+ 1 + 1
2 = 4x <== divide both sides by 4 to isolate the variable
/4 /4
1/2 = x
Hope this helps!
[tex] \Large{\boxed{\sf x = \dfrac{1}{2} }} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 28x + 1 = 32x - 1 [/tex]
[tex] \\ [/tex]
Subtract 28x from each side :
[tex] \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 [/tex]
[tex] \\ [/tex]
Add 1 to both sides:
[tex] \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x [/tex]
[tex] \\ [/tex]
Divide both sides by 4:
[tex] \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about equations here:
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Given p(x) = -4(x-15)[tex]p(x) = -4(x-15)x^{2} +2.[/tex]
Umang gained 20% by selling a watch for rs 2400 then find the cost price. if he gain 30% at what price should have he sold it.
Answer: Rs. 3120
Step-by-step explanation:
So...
rs. 2400 is the cost as of when it was overpriced by 20%
10%=240
20%= (240+240)= 480
Rs. 2400-480= Rs. 1920 which is the original price before the 20% was added making the price 2400 INR
Now we need to find what 30% is to find out the price if 30% was added to the original cost
so...
If 10%=240
30%=(240+240+240)= Rs. 720
Rs. 2400+720= Rs. 3120
Rs. 3120 is the price the watch was sold at when 30% was added onto the original price and the owner gained 30%.
A student's workout is graphed on the grid below. What’s the domain and range?
Answer:
Domain [0,50] and Range [0,100]
Step-by-step explanation:
The domain of a graph is the values that x takes on in the graph.
We see the x values for the graph go from 0 to 50.
Since both ends of the graph are closed circles we will use brackets:
D [0,50]
The range of a graph is the values that y takes on in the graph.
We see the y values for the graph go from 100 to 0.
R [0,100]
We can also write them in interval notation:
Domain: [tex]0\leq x\leq 50[/tex]
Range: [tex]0\leq y\leq 100[/tex]
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]
solve for z: -42z^2 = 14z
[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]
[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]
[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]
[tex]\\ \rm\Rrightarrow 3z=-1[/tex]
[tex]\\ \rm\Rrightarrow z=-1/3[/tex]
Another root is 0Answer:
[tex] - \frac{844}{29} z[/tex]
Step-by-step explanation:
I hope to help
if 15% of a class of 20 students were boys, how many boys and girls?
Answer:
15 percent of 20 is 3. so there are 3 boys and 17 girls in the class.
Step-by-step explanation:
Alexa was out at a restaurant for dinner when the bill came. Her dinner came to $14. After adding in a tip, before tax, she paid $17.78. Find the percent tip.
The amount of the tip was computed first, and it was then used to find then percentage of the tip that was given at the restaurant
Computation on PercentageGiven Data
Cost of dinner = $14Total Cost with tip = $17.78Let us find the amount of the tip
= 17.78 -14
= $3.78
Let us find the percentage tip
= 3.78/14 * 100
= 0.27 * 100
= %27
Learn more about percentages here:
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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.........
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]
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
pls help due today :( 26 points promise
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!
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.
How was it determined that the base is 8 units long and the height is 3 units?
Answer:
Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height
Step-by-step explanation:
another question !!!
Answer:
All are complementary angles
Step-by-step explanation:
See attachment
