Work out the perimeter of a semi circle with radius 3cm give your answer in terms of pi
Answer:
6(π + 1) cm
Step-by-step explanation:
d = 2r
P(s.circle) = πd + d
= π·2·3cm + 2·3cm
= π·6cm + 6cm
= 6(π + 1) cm
What are the chances of choosing a black marker out of a bag containing 3 red markers, 5 blue markers, 3 yellow markers, and 4 black markers? What is the probability of choosing two black markers if the first marker is put back before the second is drawn?
Answer:
[tex]\dfrac{16}{225}[/tex].
Step-by-step explanation:
It is given that,
Number of red markers = 3
Number of blue markers = 5
Number of yellow markers = 3
Number of black markers = 4
Total markers = 3 + 5 + 3 + 4 = 15
Probability of getting a black marker is
[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]
[tex]P(Black)=\dfrac{4}{15}[/tex]
Probability of choosing two black markers if the first marker is put back before the second is drawn, is
Required probability [tex]=P(Black)\times P(Black)[/tex]
[tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]
[tex]=\dfrac{16}{225}[/tex]
Therefore, the probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].
Amy works for 36 hours per week for 10 weeks during the summer, making $\$3000$. If she works for 30 weeks during the school year at the same rate of pay and needs to make another $\$3000$, how many hours per week must she work?
Answer:
12 hours
Step-by-step explanation:
$3000 / 36hours / 10weeks = $8.33333333333
$3000 / 30weeks / $8.33333333333 = 12hours
Answer:
12
Step-by-step explanation:
Since she only needs to make the same amount of money, if she works for 3 times as many weeks, she can work 3 times fewer hours per week, meaning she can work 1/6x36= 12 hours per week
Write the following Arithmetic sequence using an Explicit Formula: a1 = 8, an = an-1 -2
Answer:
an = 8 - 2*(n - 1)
Step-by-step explanation:
a1 ; .... ; an-1 ; an
r = an - an-1
r = (an-1 - 2) - an-1
r = an-1 - 2 - an-1
r = -2
So:
an = a1 + r*(n - 1)
an = 8 + (-2)*(n - 1)
an = 8 - 2*(n - 1)
The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1) thus option (A) is correct.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
As per the given,
First term a₁ = 8
[tex]a_{n} =a_{n-1}-2[/tex]
The common difference between the AP will is,
d = [tex]a_{n} -a_{n-1}[/tex]
d = -2
The nth term of an AP is given as a + (n - 1)d
Thus,
[tex]a_{n}[/tex] = 8 + (n - 1)(-2)
[tex]a_{n}[/tex] = 8 - 2(n - 1)
Hence "The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1)".
For more about Arithmetic progression
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Apply this definition and the properties of exponents to represent the expression 7 3/4 in radical form
Step-by-step explanation:
7^3/4=
[tex] \sqrt[4]{7 {}^{3 \\} } [/tex]
=
[tex] \sqrt[4]{343} [/tex]
Sarah dreams of going to medical school and giving quality medical care to people who live in countries in crisis. Which of the following is an organization she might want to work for? Peace Corps. World Health Organization. United Nations. Alliance for small island states
I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.
Answer:
B
Step-by-step explanation:
I took the test ;P
Draw the graph of y=4x. From the graph find the value y when x= -2
here is the answer hope this helps
A bakery mixes cookie dough in large batches. For chocolate chip cookies, 10 cups of sugar and 20 cups of flour are needed
Answer:
around 30
Step-by-step explanation: dont quote me though
What is the x-intercept of y=x^2+6x-8
Answer:
(4,0) , (2,0)
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
−3x−6+(−1) plz Answer
Answer:
The answer to this problem is -3x - 7
Step-by-step explanation:
-3x - 6 + (-1)
Add -6 to -1.
-3x - 7
So, the final answer to this problem is -3x - 7.
3a+4=a+18 pls help!!!!!!!!!!!!1
Answer:
a=7
Step-by-step explanation:
3a+4=a+18
-1a -1a
2a+4=18
-4 -4
2a = 14
÷2 ÷2
a=7
Answer:
a = 7
Step-by-step explanation:
3a + 4 = a + 18
Add -a and -4 on both sides.
3a - a = 18 - 4
2a = 14
Divide 2 into both sides.
a = 14/2
a = 7
Find the enthalpy change per mole of sodium when sodium reacts with water 8 grams of sodium reacts with 227 cm of water, producing a temperature change from 298
Kto 308.4 K The specific heat capacity of water is 4.18 J/K 9.
Answer:
The enthalpy change per mole of sodium when sodium reacts with water is 28.36 kJ
Step-by-step explanation:
The given parameters are;
Mass of sodium = 8 grams = 0.008 kg
Volume of water = 227 cm³ = 0.000227 m³
Initial water temperature, T₁ = 298 K
Final water temperature, T₂ = 308.4 K
Specific heat capacity of water = 4.18 J/(K·g)
Density of water = 1000 kg/m³
Mass of water = 1000×0.000227 = 0.227 kg = 227 g
Heat change, ΔH = m×c×ΔT = m×c×(T₂ - T₁)
ΔH = 227*4.18*(308.4 - 298) = 9868.144 J = 9.868 kJ
Molar mass of sodium = 22.989769 g/mol
Therefore, 8 grams contains;
8/22.989769 = 0.348 moles of Na
Which gives the enthalpy change per 0.348 moles of Na when sodium reacts with water = 9.868 kJ
Therefore, when one mole of Na reacts with water we have;
The enthalpy change per 0.348/0.348 = 1 mole of Na when sodium reacts with water = 9.868 kJ/0.348 = 28,358.3 J = 28.36 kJ.
In △ABC, AB=BC=29, and AC=42. What is the area of △ABC?
Answer:
420 unit^2.
Step-by-step explanation:
Use the formula area = √(s(s-a)(s-b)(s-c) where s = the semi-perimeter and ab and c are the 3 sides. (it is called Heron's Formula).
s = (29+29+42)/ 2
= 100/2
= 50.
Area = √50(50-29)(50-29(50-42)
= √176400
= 420.
The area of △ABC is 420 square units.
The formula for calculating Heron's formula is expressed as √(s(s-a)(s-b)(s-c)
where:
s = the semi-perimeter and abc are the 3 sides.Get the value of "s"
s = (29+29+42)/ 2
s = 100/2
s = 50.
Get the required area:
Area = √50(50-29)(50-29(50-42)
Area = √176400
Area = 420.
Hence the area of △ABC is 420 square units.
Learn more on area of triangle here: https://brainly.com/question/17335144
Can someone please help me graph these 4?
Answer:
These are ordered 1, 2, 3, 4
You are selling decorative eggs for your club.
Medium Eggs sold for $3 each. Large Eggs sold for
$6 each. A total of 190 Eggs were sold, and sales
totaled $870. How many Large Eggs did you sell?
An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an=-6+(n-2)8 B. an=8+(n-6)(-1) C. an=8+(n-1)(-6) D. an=8+(n-1)6
Answer:
an = 8 + (n-1) *(-6)
Step-by-step explanation:
The explicit formula is
an = a1+ d (n-1) where a1 is the initial value and d is the common difference
The initial value is 8 so a1 = 8
The common difference is what we are adding or subtracting each time
We are subtracting 6 each time as we see from the recursive forumla
so d = -6
an = 8 -6(n-1)
or
an = 8 + (n-1) *(-6)
Answer:
C
Step-by-step explanation:
[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]
Subtract simplify your answer completely
Answer:
Answer is A
Step-by-step explanation:
Answer:
[tex] \frac{3x + 13}{ {x}^{2} + 4x + 5} [/tex]Option A is the correct option
solution,
[tex] \frac{8x + 7}{ {x}^{2} + 4x + 5 } - \frac{5x - 6}{ {x}^{2} + 4x + 5} \\ = \frac{8x + 7 - (5x - 6)}{ {x}^{2} + 4x + 5} \\ = \frac{8x+ 7 - 5x + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{8x - 5x + 7 + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{3x + 13}{ {x}^{2} + 4x + 5 } [/tex]
Hope this helps...
Good luck on your assignment...
Please help i will mark brainliest!
Answer:
B and C are the answers
Step-by-step explanation:
Which of the following is the complete factorization of the polynomial below
x3 + x2 - 17x+15
Answer:
[tex]\boxed{\sf \ \ \ (x-1)(x-3)(x+5) \ \ \ }[/tex]
Step-by-step explanation:
Hello,
1 is a trivial zero so we can write
[tex]x^3+x^2-17x+15=(x-1)(x^2+2x-15) = (x-1)(x^2+5x-3x-15)\\==(x-1)(x(x+5)-3(x+5))=(x-1)(x-3)(x+5)[/tex]
hope this helps
Mr. Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below.
5x+2y=8
-4(1.25x+0.5y=2)/5x+2=8
-5x-2y=-8/0=0
Based on this work, what is the solution to the system?
(-4, -4)
(0, 0)
no solution
infinitely many solutions
Answer:
Option D.
Step-by-step explanation:
The given system of equations is
[tex]5x+2y=8[/tex] ...(1)
[tex]-4(1.25x+0.5y=2)[/tex] ...(2)
On simplifying the second equation, we get
[tex]-5x-2y=-8[/tex]
On dividing by -1, we get
[tex]5x+2y=8[/tex] ...(3)
It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.
So, the given system of equations has infinitely many solutions.
Therefore, the correct option is D.
Answer:
infinitely many solutions
Step-by-step explanation:
Because if it is at zero zero the equations represent the same line on a graph.
It can't be A because -4 -4 is a point on a graph would intersect there and that means -4-4 is answer to the equation
It cant be B for the same reason as A
It cant be no solution because then the graph lines would be parellel
Finnaly i took the test on edge2020 and got a 100
Hope this helps yall pls hit that THANKS button below have a great day
This is the question that is after it and it goes along with the question above so I thought why not kill two birds with one stone
The system of equations shown is solved using the linear combination method
StartLayout 1st row 1st column 6 x minus 5 y = negative 8 right-arrow 2nd column 6 x minus 5 y = negative 8 right-arrow 6x minus 5 y = negative 8 2nd row 1st column negative 24 x + 20 y = 32 right-arrow one-fourth (negative 24 x + 20 y = 32) right-arrow negative 6 x + 5 y = 8 with Bar Underscript 3rd row 3rd column 0 = 0 EndLayout
What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
The correct answer is C also because of my first answer and response to the other question
What is the value of the expression All of 2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2? 1.3 × 107 2.0 × 107 1.3 × 1011 2.0 × 1011
Answer: The answer is A:
[tex]1.3[/tex] × [tex]10^{7}[/tex]Step-by-step explanation:
2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2 looks like this-
[tex]2.6[/tex] × [tex]10^{9}[/tex] / [tex]1.3[/tex] × [tex]10^{2}[/tex] or [tex]2.6[/tex] × [tex]10^{9}[/tex] ÷ [tex]1.3[/tex] × [tex]10^{2}[/tex]
Basically a fraction means dividing.
Formula example picture:
According to the Quotient Rule, you have to divide two exponents with the same base, and keep the base and subtract the powers.
Back to the Explanation:
Since you have to divide or subtract with the same base,
[tex]10^{9} - 10^{2}[/tex] remember only subtract the exponents with the quotient rule, and subtract in the same order.
so [tex]10^{9} -10^{2} = 10^{7}[/tex]
now lets move on to 2.6 and 1.6, like the exponents we subtract 2.6 and 1.6.
[tex]2.6 -1.3=1.3[/tex]
so the final answer would be [tex]1.3[/tex] × [tex]10^{7}[/tex]
Hope you understood! Drink some water and take a break, don't stress! You got this! :)
please help Select the correct answer. Find the inverse of function f. F(x) = 9x-7
Answer:
f-1(x)=(x+7)/9
Step-by-step explanation:
Try going at the problem backwards. The function first multiplies x by 9 then subtracts 7, so the opposite route for the inverse. Add 7 to x and then divide everything by 9
Question:
Find the inverse of function f. F(x) = 9x-7
Answer:
D. F-1(x)= 1/9x-7/9
What’s the evaluation to 5x(2) + x for x =3
Answer:
48
Step-by-step explanation:
5 x^2 +x
Let x = 3
5 * 3^2 +3
Exponents first
5 * 9+3
Multiply next
45+3
48
Answer:
33
Step-by-step explanation:
If x=3, we have to plug it into 5x(2)+x.
1: Plug it into the equation
(5(3))(2)+3
2: Mutiply it all out
15(2)+3
30+3
33
Hope this helped! :)
(-2a-4b-6c) - (-a - 2b +3c)
━━━━━━━☆☆━━━━━━━
▹ Answer
-a - 2b - 9c
▹ Step-by-Step Explanation
(-2a - 4b - 6c) - (-a - 2b + 3c)
Remove parentheses
-2a - 4b - 6c - (-a - 2b + 3c)
Collect like terms
-a - 4b - 6c + 2b - 3c
Final Answer
-a - 2b - 9c
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: -a - 2b -9c
Step-by-step explanation:
-2a - (-a) = -a
-4b - (-2b) = -2b
-6c - (3c) = -9c
-a - 2b - 9c
what is 6-3 plus the square root of 4
Answer:
5
Step-by-step explanation:
6 - 3 = 3
√4 = 2
3 + 2 = 5
Answer:
5
Step-by-step explanation:
6-3 + sqrt(4)
PEMDAS says do the sqrt first
6-3 +2
Then add and subtract
3 +2
5
What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2 ?
Write down the gradient and y-intercept of each line
y=4x - 1
y=
[tex] \frac{1}{3} x + 3[/tex]
help pls
Answer:
Equation of a line is y = mx + c
where m is the gradient
c is the y intercept
a.)y = 4x - 1
Comparing with y = mx + c
The gradient = 4
y intercept = - 1
b.)[tex]y = \frac{1}{3} x + 3[/tex]
Comparing with y = mx + c
The gradient is 1/3
The y intercept is 3
Hope this helps you
Answer:
4 and -1
1/3 and 3
Step-by-step explanation:
for y=4x-1
y intercepts where x=0 so f(0)=4*0-1=-1
y intecepts = - 1
the gradient is y2-y1/x2-x1 where y2=f(x2)=4x2-1 and y1=f(x1)=4x1-1
the gradient is 4x2-1-4x1+1/x2-x1=4 ( the coeficient of x)
for y=1/3x+3
the gradient is 1/3
y intercepts is f(0)=3
Pls answer ASAP I need help
Answer:
g=1.5
Step-by-step explanation:
-0.4+0.9=0.5
0.5*3 1.5
Can someone please help me with this
Answer:
13)5m-10
14)8y+16
15)-3m-12
16)a²+3a
17)h²-2h
18)2m²+8m
19)-2z+16
20)-4x²+40x
21) 12x and 60
22)x and 4
Barika, Akeelah, and James raised $76.23 for their dance team. James raised twice as much as Barika, who earned 2.60 less than Akeelah. If x = the amount raised by Akeelah, choose the expressions that represent the amount each other player raised. x – 2.60 2x + 5.20 .5x + 2.60 2x – 5.20
The amount raised by Akeelah is x, by Barika is x- 2.60, and by James is 2x- 5.20.
If we analyze it via steps,
We first take the value we know, that is the amount raised by Akeelah that is x. So if Barika is 2.60 less than Akeelah we will numerically express the equation as x-2.60.
Then we look at the amount raised by James it says that it is twice as much as Barika, we numerically express that as
2(x- 2.60) = (2.x) - (2 . 2.60) = 2x -5.20 (simpler form)
If we want to find out the amount we can even do so by adding the amount raised by Barika, Akeelah, and James. We numerically express that as x + (x-2.60) + (2x-5.20) . This equation will be equal to the total value given as the amount raised by all three which is $76.23.
So, By the Problem,
x + (x-2.60) + (2x-5.20) = 76.23
=> 4x - 7.80 = 76.23
=> 4x = 68.43
=> x = 68.43/4
=> x = 17.11
Therefore, Akeelah raised x = $17.11
Barika raised x-2.60 = $14.51
James raised 2x -5.20 = $29.02
Learn more about algebra:
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