Answer:
[tex]-5x^2-5x[/tex]
Step-by-step explanation:
[tex]-5x\left(x+1\right)\\\\-5x\left(x+1\right)=-5xx-5x\cdot \:1\\\\=-5xx-5x\cdot \:1\\\\=-5x^2-5x[/tex]
Answer:
-5x^2 -5x
Step-by-step explanation:
-5x(x+1)
Distribute
-5x*x +-5x*1
-5x^2 -5x
Last year, there were b pies baked for the bake sale. This year, there were 158 pies baked. Using b, write an expression for the total number of pies baked in the two years.
Help plsssssss
We simply add the two subtotals to get the grand total. If we knew the value of b, then we'd be able to find an actual numeric result.
For example, let's say b = 100 pies were baked last year. That would mean b+158 = 100+158 = 258 pies were made over the two year period. However, since we don't know what b is, we just leave b+158 as is.
The histogram below shows information about the weights (in kg) of all the packages Colin needs to send out today for his business. What fraction of packages weigh less than 30kg?
The fraction of packages that weigh less than 30kg is 3/8 for the given histogram.
To find the fraction of packages that weigh less than 30kg, we need to look at the histogram and count the number of packages that fall in the bins to the left of the 30kg mark.
Let's assume that w is weight.
As per the histogram, we have
0 ≤ w ≤10 : 0.55
10 < w ≤ 20 : 0.55
20 < w ≤ 30 : 1.9
So, 0 ≤ w ≤ 30.
0.55 × 2 + 1.9 = 3.
The total can be calculated as:
0.55+0.55+1.9+0.2+0.75+0.75+1.65+1.65 = 8
This means there are 8 packages that weigh less than 30kg.
Here, fraction = 3/8
Therefore, the fraction of packages that weigh less than 30kg is 3/8.
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The missing histogram is attached below.
what is the least number of apples that can be shared equally among either 6, 10 or 15 children
Find the least common multiple.
List the multiples of each number:
6, 12, 18, 24, 30, 36, 42
10, 20, 30, 40
15, 30, 45
The least common multiple is 30.
The answer is 30
What is the inverse of the function () 2x 10?
Answer:
I assume that we want to find the inverse of the function:
f(x) = 2*x + 10
Remember that the inverse of a function f(x), is a function g(x) such that:
f( g(x) ) = g( f(x) ) = x
Because f(x) is a linear function, we can assume that g(x) will also be a linear function:
g(x) = a*x + b
let's find the values of a and b.
We will have that:
f( g(x) ) = 2*g(x) + 10 = 2*(a*x + b) + 10
And that must be equal to x, then we need to solve:
2*(a*x + b) + 10 = x
2*a*x + 2*b + 10 = x
this must be true for all values of x, so we can separate it as:
(2*a*x) + (2*b + 10) = x + 0
2*a*x = x (one equation for the terms with x)
2*b + 10 = 0
Solving these two equations we get:
2*b = -10
b = -10/2 = -5
2*a*x = x
2*a = 1
a = 1/2
Then the inverse function is:
g(x) = (1/2)*x - 5
A shopkeeper allows 15% discount on the marked price, still he manages to have 7% profit. How much high did he mark his goods above the cost price?
Answer: [tex]25.9\%[/tex]
Step-by-step explanation:
Given
Shopkeeper allows 15% discount on the marked price and still manages a profit of 7%
Suppose the marked price is [tex]x[/tex]
So, the selling price is [tex](1-0.15)x=0.85x[/tex]
Suppose the cost price is [tex]y[/tex]
[tex]\Rightarrow \dfrac{0.85x-y}{y}=7\%\\\\\Rightarrow \dfrac{0.85x}{y}-1=0.07\\\\\Rightarrow \dfrac{0.85x}{y}=1.07\\\\\Rightarrow y=\dfrac{0.85x}{1.07}\\\\\Rightarrow y=0.794x[/tex]
So, the percentage the shopkeeper marked his goods above cost price
[tex]\Rightarrow \dfrac{x-y}{y}\times 100\\\\\Rightarrow \dfrac{x-0.794x}{0.794}\times 100\\\\\Rightarrow \dfrac{0.2056}{0.794x}\times 100\\\\\Rightarrow 25.89\%\approx 25.9\%[/tex]
Question 1 of 40
Choose the function whose graph is given by:
Answer:
Option B
Step-by-step explanation:
The function is in the form A cos (bx)+c where A is the amplitude and B is the period. The amplitude of this function is 3 so that rules out option D. The formula for finding the period is 2pi/b so 2pi/pi/2 is 4 so that makes the period 4. The equation that matches the description is B
Use your exponent rules to express as a single power, 94 ÷ 272
Answer:
3196 to the 8th power
Step-by-step explanation:
the difference is that -24 is just an integer and (-2)4 is asking you to multiply -2 by positive 4
Which of the following points lies on the graph of this equation?
A. (-3, 2)
B. (3, 5)
C. (3, 3)
D. (6, 8)
============================================================
Explanation:
If we plug in x = -3, then we get
y = (1/3)*x + 2
y = (1/3)*(-3) + 2
y = -1 + 2
y = 1
So the point (-3, 1) is on the line instead of (-3, 2). This rules out choice A.
Now let's try x = 3
y = (1/3)*x + 2
y = (1/3)*(3) + 2
y = 1 + 2
y = 3
We can see that (3,3) is on the line. That directs us to choice C as the final answer.
For the sake of completeness, let's try x = 6 to see what we get
y = (1/3)*x + 2
y = (1/3)*(6) + 2
y = 2 + 2
y = 4
So the point (6,4) is on the line instead of (6,8), which allows us to rule out choice D.
Find the value of 9 in 7582.96.
9
0.9
0.09
90
Which of the following best describes a basic postulate of Euclidean
geometry?
A. All circles measure 360°
B. All right triangles are congruent.
C. A straight line segment has a midpoint.
D. A straight line segment can be drawn between any two points.
Answer:
D. A straight line segment can be drawn between any two points.
Step-by-step explanation:
Euclid of Alexandria was famously known and regarded as the founder of geometry, as well as the father of geometry. He was born in the Mid-fourth century, BC and he specialized in the field of Mathematics. Some of his popular works in the field of Mathematics were Euclid's Elements, Euclidean algorithm and Euclidean geometry.
One of the basic postulate of Euclidean geometry is that a straight line segment can be drawn between any two points.
Others include;
I. All right angles are congruent.
II. All straight line segment is indefinitely extendable in a straight line.
ERCISE Find the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
Answer:
7.393691004
Step-by-step explanation:
7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data set is 20, 25, 30, 36, 32, 43
Firstly we have to find the mean
Mean=20+25+30+36+32+43/6
=186/6
=31
The deviations from the mean are 20-31=-11
25-31=-6
30-31=-1
36-31=5
32-31=1
43-31=12
Using the definition of standard deviation (σ) , we have:
σ=√121+36+1+25+1+144/6
σ=√328/6
σ=√54.66=7.4
Hence, 7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
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Can someone help me out please
Answer:
answer is
4ft * 5ft
= 20ft^2
Calculate the next 3 terms and write the formula for the nth term for the following sequences. x, x+2, x+4,…
Answer:
Forth term = x + 6
Fifth term = x + 8
Sixth term = x + 10
Formular for nth term:
[tex]{ \tt{n _{th} = a + (n - 1)d}} \\ { \tt{{n _{th} = x + (n - 1) \times 2}}} \\ { \tt{{n _{th} =x + 2n - 2 }}}[/tex]
Answer:
Hello,
Step-by-step explanation:
First term of this aritmetical sequence is x+0*2
[tex]U_1=x+0*2\\U_2=x+2=x+1*2\\U_3=x+4=x+2*2\\U_4=x+6=x+3*2\\\\n^{th}\ term\ is\ U_n=x+(n-1)*2\\[/tex]
Mr. White and Co. has total profit of 6/7 million dollars. The spinning department gave a profit 1/4 of million dollars. Find the fraction of profit from other departments.
Answer: 17/28
Step-by-step explanation:
Since there is a total profit of 6/7 million dollars and the spinning department gave a profit of 1/4 million, then the profit gotten from other departments will be the fraction of profit from the spinning department subtracted from the total profit. This will be:
= 6/7 - 1/4
= 24/28 - 7/28
= 17/28
The fraction of profit from other department is 17/28.
if the mean of x1,x2,x3 and x4 is 6 then find the mean of x1+10,x2+8,x3+16 and x4+2
Answer:
f the mean of this set is equal to 20, we can write down the below equation,
20 = (x1 + x2 +x3 + .... + x10)/10
x1 + x2 + x3 + ... x10 = 200
Then we can also write an equation for the mean of the given numbers as below,
Mean = [(x1+4) + (x2+8) + (x3+12) + .... + (x10+40)]/10
= (x1 + x2 + x3 + ... + x10 + 4 + 8 + 12 + ... + 40)/10
Then we can use above equation (1) to replace x1 + x2 + x3 + ... + x10 by 200
Mean = (200 + 4 + 8 +12 + 16 + 20 + 24 + 28 + 32 + 36 + 40)/10
= 420/10
= 42
If you remember Arithmetic Progressions you can simply add together the above number set.
If you closely look above, you can find that there is an Arithmetic Progression : 4, 8, 12, ... , 40
Here we want the addition of 10 terms. So we can use,
Sn = n/2(a+l)
S10 = 10/2(4+40)
= 220
Then you can easily get the answer,
Mean = (200 + 220)/10
= 42
Instructions: Find the measure of the indicated angle to the nearest degree.
?
33
8
Answer:
14
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side /adj side
tan theta = 8/33
taking the inverse tan of each side
tan^-1 (tan theta) =tan^-1 (8/33)
theta = tan ^-1 (8/33)
theta =13.62699486
To the nearest degree
theta = 14
Solve (−3) ⋅ 2
please help
Answer:
-6
Step-by-step explanation:
3*2=6
so the opposite of 6 is -6
Also a negetive times a positive is always a negetive number
What type of number can be written as a fraction, where p and q are
integers and q is not equal to zero?
Answer:
Rational numbers can be written as a fraction where p and q are integers and q is not equal to zero
Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options.
Answer:
There is no graph.
Step-by-step explanation:
Sorry, can't help if you don't have any work shown.
Answer:
B and D
Step-by-step explanation:
A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.
B) The vertex is (-3, -13). True
C) The axis of symmetry is x = -3, not the one given.
D) The graph increases for x > -3. True
E) The function crosses the x-axis at about x=-6.6 and x=0.6.
The mass of 5 m' of copper is 44 800 kg. Work out
the density of copper.
Which expression is equivalent to _/8/x^6? Assume x > 0?
Answer:
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We have the following expression:
sqrt 8 / x ^ 6
Rewriting we have:
sqrt (8 / x ^ 6)
sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))
(2 / (x * x * x)) sqrt (2)
(2 / x ^ 3) * sqrt (2)
Answer:
An equivalent expression is given by:
(2 / x ^ 3) * sqrt (2)
What are angles a,b and c
Answer:
A=38°
B=84°
C=68will use the property of an isosceles triangle to find the answer
I don’t know this one, Please help ASAP
Answer: 52
Step-by-step explanation:
You can see that it is a right angle and 90-38=52. Then because they are vertical angles they equal each other meaning that IGJ is 52 degrees
solve the formula for a
(q&c in picture)
Answer:
C
Step-by-step explanation:
Subtract Vot from the given equation
s - Vo*t = 1/2 a t^2 Multiply by 2
2(s - Vo*t) = at^2 Divide by t^2
2(s - Vo*t) / t^2 = a
Looks like C is the answer.
Usando a propriedade distribuitiva, calcule as multiplicação
a) (4c-a)×(4c+a)
b) (4x-3)×(6x+1)
c) (x-y)×(x^2+5y)
Answer:
[tex]a) \left(4c-a\right)\times\left(4c+a\right)[/tex]
[tex]=\left(4c\right)^2-a^2[/tex]
[tex]=16c^2-a^2[/tex]
-------------------
[tex]b) (4x-3)\times(6x+1)[/tex]
[tex]=4x\times \:6x+4x\times \:1+\left(-3\right)\times \:6x+\left(-3\right)\times \:1[/tex]
[tex]=4\times \:6xx+4\times \:1\times \:x-3\times \:6x-3\times \:1[/tex]
[tex]=24x^2-14x-3[/tex]
-------------------
[tex]c)(x-y)\times(x^2+5y)[/tex]
[tex]xx^2+x\times \:5y+\left(-y\right)x^2+\left(-y\right)\times \:5y[/tex]
[tex]=x^2x+5xy-x^2y-5yy[/tex]
[tex]=x^3+5xy-x^2y-5y^2[/tex]
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8. Anneke is swimming the 500-meter freestyle, which consists of swimming the length of a pool 20 times. If Anneke averages 26.4 seconds per length of pool, write an equation that could be used to determine the number of meters (m) Anneke has left in the event after swimming for s seconds.
Answer:
Anneke will swim 20 lengths in the 500-meter event,
which means each length of the pool is = 500/20
= 25m
also since Anneke can swim one length in 26.4 seconds on average
hence her average speed is = 25/26.4 m/s
hence after a seconds,
the distance traveled = 25s/26.4 meter
thus, the remaining distance Anneke need to travel is:
m = 500 - (25s/26.4)
find the value of the unknown.
Answer:
86.5
[tex]14 + 8 + 12.5 = 34.5 \: \: 121 - 34.5 = 86.5[/tex]
Rohann recently finished some renovations to his house. 20 square meters of carpeting cost $875 while 17 square meters of hardwood flooring cost $750. Which flooring is more expensive per square meter?
Answer: Hardwood flooring
Step-by-step explanation:
Given
Rohann renovation of Carpentering cost $875 for [tex]20\ m^2[/tex]
For hardwood flooring [tex]17\ m^2[/tex] cost $750
So, cost per square meter for different floors are
[tex]\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2[/tex]
[tex]\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2[/tex]
Thus, the cost of the Hardwood flooring is more expensive.
Math question for grade 8
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How many 1/2 minutes are there in 3/2 minutes
Answer:
There are 3 Half minutes in 3/2 minutes
Step-by-step explanation:
We Start with two fractions
A : 1/2
B : 3/2
Since the denominator (The Second Number) is the same we don't need to change our fractions!
We can then just divide 3/2 by 1/2 to get our answer!
3/2 / 1/2 = 3
