Answer:
8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8
Step-by-step explanation:
To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8
Write the expressions for (f x g) (x) and evaluate (f-g) (4)
The product and the sum of the functions will be 3x² - 6x - 24 and 4x + 2. The value of the function (f - g) at x = 4 is negative 18.
What is a function?In mathematics, functions are everywhere and are necessary for constructing physical connections. A function is a statement, rule, or law that establishes the connection between two variables.
The functions are given below.
f(x) = x - 4
g(x) = 3x + 6
Then the product of the functions will be
(f × g)(x) = (x - 4)(3x + 6)
(f × g)(x) = 3x² -12x + 6x - 24
(f × g)(x) = 3x² - 6x - 24
Then the sum of the functions will be
(f + g)(x) = x - 4 + 3x + 6
(f + g)(x) = 4x + 2
Then the difference in the functions at x = 4 will be
(f - g)(4) = (x - 4) - (3x + 6)
(f - g)(4) = x - 4 - 3x - 6
(f - g)(4) = -2x - 10
(f - g)(4) = -2 (4) - 10
(f - g)(4) = -8 -10
(f - g)(4) = -18
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The diameter of the circle above is 26 in. What is the circumference of the circle? Use = 3.14.
Circumference = 275
A.40.82 in
В.530.66 in
C.81.64 in
D. 1,061.32 in
Answer:
C
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr = πd ( d is the diameter and d = 2r ) , then
C = πd = 3.14 × 26 = 81.64 in
I need help.. can somebody help me understand inputs & outputs?
A) 8, 2, –12
B) 8, 0, 12
C) 8, 0, –12
D) –8, 0 12
State the center coordinate and radius length of the circle: x^2 + y^2 - 8x + 12y + 40 = 0
Answer:
Below in bold.
Step-by-step explanation:
x^2 + y^2 - 8x + 12y + 40 = 0
x^2 - 8x + y^2 + 12y = -40
Complete the square on the x and y terms:-
(x - 4)^2 - 16 + ( y + 6)^2 - 36 = -40
(x - 4)^2 + (y + 6)^2 = -40 + 16 + 36
(x - 4)^2 + (y + 6)^2 = 12
So the centre is at (4, -6) and the radius is √12.
Answer:
The circle is centered at (4,-6) and has a radius of √12.
Step-by-step explanation:
The standard form for the circle equation is:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
You have:
[tex]x^2+y^2-8x+12y+40=0[/tex]
First complete the square for the 'x' terms:
[tex](x^2-8x+40)+y^2+12y=0[/tex]
[tex](x^2-8x+16-16+40)+y^2+12y=0[/tex]
[tex](x^2-8x+16)+y^2+12y+24=0[/tex]
[tex](x-4)^2+y^2+12y+24=0[/tex]
The 'x' terms are now in standard form. Work on the 'y' terms by completing the square once again:
[tex](x-4)^2+(y^2+12y+36-36+24)=0[/tex]
[tex](x-4)^2+(y^2+12y+36)-12=0[/tex]
[tex](x-4)^2+(y+6)^2-12=0[/tex]
Add the 12 to the other side:
[tex](x-4)^2+(y+6)^2=12[/tex]
The circle is centered at x = 4, y = -6, and has a radius of √12.
Ibehdhdsxydithdkydlgsits
160
Step-by-step explanation:
Due to the kite being a 2D Object you can just add the numbers of each side up to get to the answer 160. If I'm wrong then I'm sorry I hope this helped though!
Denice made 9 identical bags using 4 yards of fabric. How much fabric did denice use for each bag
Answer:
Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.
Step-by-step explanation:
First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.
On the Moon, an astronaut will have______mass and________.
weight as on Earth
A. 1/6th the, the same
B. the same, 1/6th the
C. 1/6th the, 1/6th the
D. the same, the same
Answer:
B
Step-by-step explanation:
Answer:
D. Because the same answer
Step-by-step explanation:
which of the follow r-values represents the no or low coorelation
The r-value that represents the no or low correlation is 0.0
How to determine the r-value?For a r value to show no correlation, then the r value must be 0 or close to 0
Since the r values are not given, then we can assume that the r value is 0
Hence, the r-value that represents the no or low correlation is 0.0
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Create an equation to convert X feet into y miles
Answer:
y = x/5280
Step-by-step explanation:
y miles = x feet / 5280
Solve for x. Round to the nearest tenth.
Answer:
x = 4.55
Step-by-step explanation:
Tan(75) = 17/x
3.73 = 17/x
x3.73 =17
x = 4.55
What is the number sentence for "1 less than N is the sum of Z and
2"?
Answer:
N–1=Z+2 should be the solution.
the cuboid has dimension 25cm by 10cm by 8cm the volume is
2000cm³.
The volume of any 3d shape is the length x height x width.
This case it is 25 x 10 x 8.
Reduce the following fractions to lowest terms: 36/39
Answer:
12/13
Step-by-step explanation:
36/39
Divide by 3
12/13
The probability that an international flight leaving the United States is delayed in departure in (event D) is .27. The probability of an international flight leaving the United States is a transpacific flight (event P) is .58. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14.
(Q) What is the probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight?
The probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight is 0.241
How to determine the probability?The given parameters are:
P(D) = 0.27
P(P) =0.58
P(D and P) = 0.14
The required probability is then calculated using:
P(D | P) = P(D and P)/P(P)
This gives
P(D | P) = 0.14/0.58
Evaluate
P(D | P) = 0241
Hence, the required probability is 0.241
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please answer this question
[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = p and y = -q
Step-by-step explanation:
To findThe value of x and y
Givenpx + qy = p² - q²(equation 1)
qx - py = 2py
Solution{Taking equation 2}
[tex] \sf qx - py = 2py[/tex]
{Taking py on RHS}
[tex] \sf qx = 2py \ + py [/tex]
{Dividing both sides by q
[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]
{Now substituting the value of equation 3 in equation 1}
[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]
{Taking 2p² on RHS and taking LCM on LHS}
[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]
{Dividing (p² + q²) both sides}
[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]
{Now using value of y in equation 3}
[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]
(-2) +[(-13) +4]=[(-2) +(13) ]+4
Find the lateral area of the prism.
11cm
4cm
4cm
Answer:
120 cm squared
Step-by-step explanation:
1.the bases in this case are in blue,these are not included in lateral surface area.
first we must find the area of the top & bottom squares.
(4x4=16)
Then the side rectangles
(11x4=44)
then We add,there are two squares and two rectangles included in the lateral surface area.So we can do 16x2=32 and 44x2=88.
now that we have all our measurements we can add these numbers
88+32=120 cm squared
Which boxes have a volume of 120 cubic feet: box a: a length of 5 feet, width of 4 feet, a height of 6 feet. Box B: length of 7 ft, width of 7 ft and height of 6 feet. Box c: length of 3 feet, width of 6ft, height of 4 feet. Box D: length of 10 feet, width of 3 feet, height of 4 feet. Also fatso
what is sin theta when cot theta = square root 2/2
Answer: 2/sqrt6
Step-by-step explanation:
tan theta=perpendicular/base so
cot theta =base /perependicular=sqrt2/2
while sin theta=perpendicular/hypotenous=2/x
here x is unkown to find it we will use pythagoras theorem
(hypoteneous)^2=(Base)^2+(perependicular)^2
=(sqrt 2)^2+(2)^2
=2+4
(hypoteneous)^2=6
hypotenous =sqrt6
so
sin theta=2/sqrt6
In a group of 60 students, 14 students take Algebra I, 20 students take
Algebra II, and 7 students take both subjects. How many students don't take
either of these subjects?
OA. 19
B. 28
O
C. 32
D. 33
Answer for points I know the answer
Answer: 2.2 inches
Step-by-step explanation:
How can you find out the similarities and differences in a non-fiction text?
A. Look at how the characters speak
B. Look at the genre
C. Identify whether the texts present the same facts
D. Look at how the text is written
Answer:
The answer is choice c. This is because texts present the same facts in fiction or nonfiction life.
of the prism below is a
square with a circular hole in it.
Work out the volume of the prism.
Give your answer to 3 s.f.
5 cm
6 cm
The cross-section
13 cm
Answer:
704 cm³
Step-by-step explanation:
Things to understand :
The 3D figure removed by making a circular hole through the prism is a cylinder. The original shape was a rectangular prism.Volume of the prism is equal to the difference between the volume of the rectangular prism and cylinder.Solving :
Volume (prism) = Volume (rectangular prism) - Volume (cylinder)
Volume = LWH - πr²h
Volume = 5 x 13 x 13 - π x 3² x 5
Volume = 845 - π x 45
Volume = 845 - 141.3
Volume = 704 cm³
[tex] \boxed{\sf \: Answer : Volume \: of \: prism \: is \: 703.7 cm³}[/tex]
Step-by-step explanation:
Information about diagram- The diagram is a square prism with a circular hole in it.
Given:
length of prism (a) = 13cm
height of prism (h) = 5 cm
diameter of circle(d) = 6 cm
To find:
Volume of prism =?
Solution:
Formula that would be used,
[tex] \sf volume \: of \: square \: prism = {a}^{2} h[/tex]
[tex] \sf volume \: of \: cylinder = \pi {r}^{2} h[/tex]
Let's calculate the overall volume of prism,
Volume of prism(including volume of hole) V = a²h
[tex] V = a²h \\ V = {13}^{2} \times 5 \\ V = 845 \: {cm}^{3} [/tex]
To find out the volume circular hole we need to find the radius of hole, since the diameter of hole is given we can calculate the radius by multiplying 1/2.
[tex]r= \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \: cm[/tex]
now calculate the volume of circular hole inside the prism,
Volume of circular hole(cylindrical shape) v= πr²h
[tex]v = \pi {r}^{2} h \\ v = 3.14× {3}^{2} ×5 \\ v = 141.3 \: {cm}^{3}[/tex]
The volume of given diagram of prism (V') = Volume of overall prism(V) - volume of circular hole(v)
[tex]V' = V- v \\ V' = 845 - 141.3 \: \\ V' = 703.7 \: {cm}^{3}[/tex]
Answer - Volume of prism is 703.7 cm³
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A few years ago, Simon Powell purchased a home for $200,000. Today, the home is worth $350,000. His remaining mortgage balance is $150,000. Assuming that Simon can borrow up to 80 percent of the market value, what is the maximum amount he can currently borrow against his home?
The maximum amount Simon Powell can borrow against his home is $130,000.
How to calculate the maximum amount that can be borrowed against a homeThe maximum amount Simon Powell can borrow against his home can be calculated using the following formula:
Maximum amount that can be borrowed = (Current value of the home * Percentage of the market value that can be borrowed) - Mortgage balance …………………. (1)
Substituting all the relevant values into equation (1), we have:
Maximum amount that can be borrowed = ($350,000 * 0.80) - $150,000 = $130,000
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Please help asap! Thanks
[tex]y=f(x)= \dfrac x 3 \\\\\text{Replace x with y and then solve for y,}\\\\~~~~x = \dfrac y 3\\\\\implies y = 3x \\\\\implies f^{-1}(x) =3x[/tex]
Help solve 100 points!!!!!
Answer:
4 weeks
Step-by-step explanation:
Given information:
Starting account balance = $85Weekly deposit = $8 + $10 = $18Given equation:
[tex]\sf b = 85 + w(10 + 8)[/tex]
(where b is the balance and w is the number of weeks)
To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:
[tex]\implies \sf 85+w(10+8)=150[/tex]
[tex]\implies \sf 85+18w=150[/tex]
[tex]\implies \sf 85+18w-85=150-85[/tex]
[tex]\implies \sf 18w=65[/tex]
[tex]\implies \sf \dfrac{18w}{18}=\dfrac{65}{8}[/tex]
[tex]\implies \sf w=3.6111...[/tex]
[tex]\implies \sf w=4\:weeks[/tex]
Therefore, there will be $150 in the bank account 4 weeks from now.
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
• -1/2
• 2
• -2
• 1/2
Answer:
-2
Step-by-step explanation:
Slope of a line, given two points : formatslope=y2−y1x2−x1=4−2−2−(−1)=2−1=−2
You spin the spinner twice.
5
2
4
3
What is the probability of landing on a number less than 3 and then landing on a 5?
Simplify your answer and write it as a fraction or whole number.
Submit
Step-by-step explanation:
remember, a probability is always desired cases over possible cases.
and the combination of the probabilities of two (or more) events means to multiply these probabilities.
the probability to get a specific number on the spinner is 1/4 (1 desired number over 4 possible numbers).
so, to get first a number less than 3 ... - that means, the only desired outcome is the number 2.
so,
1/4
to get 5 on the second spin ?
again,
1/4
the combination of both events into one delivers the probability of
1/4 × 1/4 = 1/16
If one nickel has a mass of nickel 5 grames so what is the mass of 6 nickle
Answer:
30 grames.
Step-by-step explanation:
5 x 6 = 30.
Find the location of G, the midpoint of FH.
The coordinate of G is (3,6.5).
What is Section Formula?
When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.
The Coordinate of F is (1, 7)
The Coordinate of H is (5,6)
Since G is the midpoint. So, it divides the line FH in 1:1 part
Let coordinates of G be (x, y)
Now using Section Formula,
[tex]x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}[/tex]
x= 3 and y = 6.5
Hence the coordinate of G is (3,6.5)
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