Evaluate Algebraic Expressions
The classroom is divided into four equal parts. The area of each part is 5.3 meters. What is the are of the classroom?
I think that the answer is 21.2 .I can't say it with confidence but still maybe it will help you
What type of number is -16.8.
-Rational number
- Whole number
- Integer number
Answer:
Its an integer number
Step-by-step explanation:
hope this helps✨
Find the value of x.
x = [?]
Answer:
25°
Step-by-step explanation:
[tex]55 \degree = \frac{1}{2} \bigg \{(100 \degree + 35 \degree) - x \bigg \} \\ 55 \degree \times 2 = 135 \degree - x \\ 110 \degree = 135 \degree - x \\ x = 135 \degree - 110 \degree \\ \huge \red{ \boxed{ x = 25 \degree}}[/tex]
graph this function y+6=-3(x+5)
Answer:
Hey there!
It's easier to graph a function in slope intercept form:
y+6=-3(x+5)
y+6=-3x-15
y=-3x-21
So, the slope is -3, and the y intercept is -21.
I'll attach a graph of the function down below
Let me know if this helps :)
Find the volume of the solid bounded by x = 0, y = z^2 , z = 0 z = 2-x-y
Answer:
volume = 4/3
Step-by-step explanation:
volume of the solid can be calculated using the given data :
x = 0,
y = z^2,
z = 0, z = 2-x-y
attached below is the detailed solution and a free hand sketch of the boundaries of the solid
100POINTS!!!!!!!!!!!!!!! Use the table to answer the questions. The values in the table form a(n) ______ sequence. The term values are shown in the ______ row, and the term numbers are shown in the ______ row. This sequence is associated with a(n) ______ function. The domain of the function is the set of time values: __________.
Answer:
arithmeticbottomtoplinear≥ 0Step-by-step explanation:
We observe that the values in the top row are sequential, and that the values in the bottom row have a common difference of 32. That means the sequence is an arithmetic sequence.
__
The values in the table form an arithmetic sequence. The term values are shown in the bottom row, and the term numbers are shown in the top row. This sequence is associated with a linear function. The domain of the function is the set of time values: greater than or equal to zero.
__
Comment on the function
This function seems to be the linear function ...
distance = 32×time - 16
It seems a little odd that the distance associated with time zero is negative. We usually think of distance as a positive value, whereas displacement can be a signed value.
As a rule, time is measured as positive from some reference point (the start of motion, for example). Here, we have no reason to believe that the function is intended to be defined for negative time values.
Answer:
arithmetic
bottom
top
linear
≥ 0
Step-by-step explanation:
You have a piggy bank containing a total of 106 coins in dimes and quarters. If the piggy bank contains $17.05, how many dimes are there in the piggy bank? There are how many dimes in the piggy bank.
Answer:
63 dimes
Step-by-step explanation:
Set up a system of equations where d is the number of dimes and q is the number of quarters:
d + q = 106
0.1d + 0.25q = 17.05
Solve by elimination by multiplying the top equation by -0.25 to eliminate q:
-0.25d - 0.25q = -26.5
0.1d + 0.25q = 17.05
Add together and solve for d:
-0.15d = -9.45
d = 63
So, there were 63 dimes in the piggy bank
how many kilometres are there in 1 metre
Answer: 0.001 kilometer in 1 meter
Step-by-step explanation:
1 kilometer = 1000 meter
so there are 0.001 kilometer in 1 meter
PLEASE HELPPPP Using the diagram below, which of the following angle pairs represent vertical angles?
Answer:
DCE and BCA
Step-by-step explanation:
Vertical angles are angles which lie directly opposite each other on intersecting lines. Because of this they are equal, and share the same vertex. Out of these pairs, only DCE and BCA are vertical angles because they lie opposite to each other on the lines FJ and IM, and share a vertex of point C.
Hope this helped!
What is 1000 words in 5 minutes rate as a unit rate.
Answer:
200 words per minute
Step-by-step explanation:
1000:5
1000/5 reduced will give you your unit rate.
200 words/minute
If 1000 words were read in 5 minutes, each minute would be 1000 divided by 5 which is 200.
solve the equation 44-x/5 = x/6 - - - -- - -- - - -- - --- - - -- - - -- -
Answer:
120
Step-by-step explanation:
44 - x/5 = x/6 ⇒ add x/5 to both sidesx/6 + x/5 = 44 ⇒ add up fractions by bringing to common denominator11x/30 = 44x = 44*30/11 ⇒ multiply both sides by 30/11x = 4*30x = 120 ⇒ answerIf 2^x=5 what is 2^3^x - 4
Answer: 121
Step-by-step explanation:
If 2^x = 5, what is the value of 2³^×
This can also be re arranged in the form
(2^x)³ - 4
Since 2^x = 5, we now substitute for the value in the expression above.
5³ - 4
= 125 - 4
= 121.
A company has 3 mechanics in 8 electricians if an employee is selected at random what is the probability that they are an electrician
Answer:
8/11
Step-by-step explanation:
3 mechanics and 8 electricians = 11 employees total
if one selected at random the possibility of the employee to be an electrician is 8/11
Let un be the nth Fibonacci number. Prove that the Euclidean algorithm takes precisely n steps to prove that gcd(un+1, un) = 1.
Answer:
Following are the answer to this question:
Step-by-step explanation:
According to Eucharistic algorithm:
[tex]gcd(un+1,un) = gcd (un+1-un, un)[/tex]
[tex]= gcd (un , un-1)[/tex]
so many recursions following
It was the first two the Fibonacci 1,1 numbers
[tex]gcd(un+1, un) = gcd(1,1) = 1 \\\\ from 1 =1 \text{and euclidean principle} \\\\?gcd (un+1,un ) = 1[/tex]
Suppose that the value of a stock varies each day from $11.82 to $15.17 with a uniform distribution. Find the third quartile, i.e., 75% of all days the stock is below what value?
The third quartile, or the value at which 75% of all days the stock is below, is $14.3325.
Used the formula that states,
the range of the distribution by subtracting the minimum value from the maximum value:
Range = Max value - Min value = $15.17 - $11.82 = $3.35
Given that the stock value follows a uniform distribution from $11.82 to $15.17.
Hence,
Range = $15.17 - $11.82
= $3.35
Now, the uniform distribution is symmetric, and the median (50th percentile) is the midpoint of the range,
Median = (Min value + Max value) / 2
= ($11.82 + $15.17) / 2
= $13.495
Hence, the third quartile (75th percentile);
75th percentile = Median + (0.25 × Range)
= $13.495 + (0.25 × $3.35)
= $13.495 + $0.8375
= $14.3325
To learn more about the third quartile visit:
https://brainly.com/question/9180614
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What is the equation in point slope form of the line passing through (0,2) and (1,5)
Start by finding the slope of the line.
m = y2 - y1 / x2 - x1
m = 5 - 2/1 - 0 ⇒ 3/1 ⇒ 3.
So the slope of the line is 3.
This can be used with either one of our two points
to write the equation of the line in point-slope form.
So let's go with the point (0, 2).
Point-slope form is written y - y1 = m(x - x1).
Since we are using the point (0, 2), y - y1 would be y - 2.
"m" would be 3 and x1 would be 0.
So we have y - 2 = 3(x - 0).
Fine the length of the side labeled x. Around intermediate values to the nearest tenth. use the rounded values to calculate the next value. round your answer to the nearest tenth.
Answer:
A. 23.6
Step-by-step explanation:
Let the dotted line be y
Then
y/x = sin(50°) ⇒ x = y/sin (50°)and
29/y = tan (58°) ⇒ y = 29/tan (58°)So
x = 29/tan (58°)/sin (50°) ≈ 23.6Correct answer is A. 23.6
Answer:
23.6
Step-by-step explanation:
Simplify the expression below.
Answer:
c or b
Step-by-step explanation:
A spherical bowl of radius r cm is a quarter full when 6 liters of water is poured into it.calculate correct to three significant figures, the diameter of the bowl.
Answer:
The bowl's diameter is 35.8 cm
Step-by-step explanation:
Recall that 1 liter = 1000 cubic cm ad have in mind that in order to get a diameter in cm, we would need to write the volume of the bowl in cubic cm.
if 6 liters is 1/4 of the bowl, then 4 times 6 liters must fill the bowl. That is: the volume of the sphere is 24 liters.
24 liters in cubic cm is: 24000 cubic cm
now, we need to use the formula for the volume of a sphere of radius R:
[tex]Vol=\frac{4}{3} \pi\,R^3\\24000=\frac{4}{3} \pi\,R^3\\R^3=\frac{24000\,(3)}{4\,\pi} \\R=\sqrt[3]{\frac{24000\,(3)}{4\,\pi} } \\R\approx 17.894\,\,cm[/tex]
therefore, the diameter of the bowl is twice this radius value:
[tex]Diameter\approx 17.894\,* 2=35.788\,\,cm[/tex]
this value rounded to 3 significant figures is: 35.8 cm
The Brazilian free-tailed bat can travel 99 miles per hour. After sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. How long before these bats cover an area of 80,000 square miles? Use π = 3.14
Answer: 1.6 hours.
Step-by-step explanation:
Ok, the speed of the bats is 99mph.
Here we can think this situation as a circle where the radius is growing at a speed of 99mph.
We assume that the initial radius is r = 0, and we can write the equation of the radius as a linear equation that depends on the time t.
r(t) = 99mi/h*t
First, let's find the radius that we need:
The area of a circle is:
A = ´pi*r^2
If we want A = 80,000 mi^2 we have:
80,000 mi^2 = 3.14*r^2
r = √(80,000 mi^2/3.14) = 159.6 mi
So the radius must be 159.6 miles.
Now, we know that the speed at which the radius increases is 99miles per hour, and we also know that:
Distance = Speed*Time.
in this case:
Distance = 159.6 mi
Speed = 99mi/h
Time = is the thing we want to find.
159.6mi = 99mi/h*T
T = 159.6mi/99mi/h = 1.6 hours.
A spring with a mass of 5 Kg has natural length 0.5m. A force of 35.6 N is required to maintain it stretched to a length of 0.5m. If the spring is stretched to a length of 0.5m and released with initial velocity 0, find the position of the mass at any time t. Here damping constant is zero.
Answer:
Step-by-step explanation:
Can someone help explain how i would solve this using the pascals triangle? Like how to convert it into (x + 4)^3 = ax^b+cx^d+ex^f+g
Pascal's triangle is a way of organizing the coefficients in the binomial expansion, [tex](a+b)^n[/tex]:
n = 0 => 1
n = 1 => 1 1
n = 2 => 1 2 1
n = 3 => 1 3 3 1
n = 4 => 1 4 6 4 1
and so on, where each row starts and ends with a 1, and the numbers in the middle are obtained by adding together the two numbers directly above and to the left. These coefficients are then mulitplied by descending powers of a and descending powers of b (or vice versa, because the pattern is symmetric), starting with 0 and going up to n.
In this case, we have
[tex](x+4)^3=1\cdot x^3\cdot4^0+3\cdot x^2\cdot4^1+3\cdot x^1\cdot4^2+1\cdot x^0\cdot4^3[/tex]
Notice how the powers of x and 4 always sum to n = 3.
Simplifying, we get
[tex](x+4)^3=x^3+12x^2+48x+64[/tex]
so that
a = 1
b = 3
c = 12
d = 2
e = 48
f = 1
g = 64
Two adjacent sides of a parallelogram are 6mm and 10mm respectively, and they form an angle measuring 60. Find the area of the parallelogram.
Answer:
51.96 mm² approximately
Step-by-step explanation:
the first thing you should know is that the area of a rectangle is base*height sin of (
the included angle i.e
Arectangle= bh sin90° since all angles of a rectangle are equal then the included angle is 90°
Arectangle= bh sin90° since sin90 is 1 we simply use the equation bh because multiplying bh by one is bh. bearing this in mind , the area of the parallelogram can be calculated as:
Aparallelogram= bh sin of sin of the included angle
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866Aparallelogram=51.96 mm² approximately
PLEASE HELP, I DON'T UNDERSTAND THIS! :(
Divide.
Answer:
first answer
(x+1)(x+2)/2
Step-by-step explanation:
flip the second term and multiply
(x²-4x-5)/(x-2) * (x²-4)/(2x-10)
(x-5)(x+1)/(x-2) * (x+2)(x-2)/2(x-5)
(x+1)(x+2)/2
Planes A and B intersect. Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m intersects line n at point W. Which describes the intersection of line m and line n? point W point X point Y point Z
Answer:
It's point W!!!
Step-by-step explanation:
Have a great day :)
Manolo has a toy in the shape of a triangle pyramid If x=6" y=8" and z=10", what is the volume of the toy
Answer:480
Step-by-step explanation:
To find volume u need to multiply height * width * length
If f(x) = 5x, what is f^-1(x)
Answer:
f^-1(x) = 1/5 x
Step-by-step explanation:
y = 5x
Exchange x and y to find the inverse
x = 5y
Solve for y
1/5x = y
The inverse is 1/5x
Answer:
[tex]\Large \boxed{f^{-1}(x)=\frac{x}{5} }[/tex]
Step-by-step explanation:
f(x) = 5x
Replace f(x) with y.
y = 5x
Switch variables.
x = 5y
Divide both sides by 5.
[tex]\frac{x}{5} =y[/tex]
amanda has 5 pairs of knee high socks and 5 pairs of crew socks in her drawer.If she picks a pair at random, what is the probability that it is a pair of knee high socks.
Answer:
50%
Step-by-step explanation:
There are a total of 5 + 5 = 10 socks
Knee high socks = 5
=> 5/10 = the probability of getting knee high socks
=> 1/2
=> 50%
Answer:
1/2
Step-by-step explanation:
5 pairs of knee high socks and 5 pairs of crew socks= 10 pairs of socks
P ( knee high) = number of knee high/ total
= 5/10 = 1/2
Determine the value of x
Answer:
3x+4=72-x (congruent triangle side are equal)
3x+x=72-4
4x=68
X=68/4
therefore,X=17 ans
Answer:
x = 17
Step-by-step explanation:
[tex]\because\triangle IJK \cong \triangle PQR.....(given)\\\therefore \angle I \cong \angle P....(cact)\\\therefore m\angle I = m\angle P\\\therefore 3x+4 = 72-x\\\therefore 3x+x = 72-4\\\therefore 4x = 68\\\therefore x = \frac{68}{4}\\\therefore x = 17[/tex]
Simplifica
(3x +5) (x -8)