Answer:
I believe D. A rotation, then dilation.
Step-by-step explanation:
Congruent is same size, same shape.
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Hope this helps. Not 100% sure though.
D. a rotation, then a dilation
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
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
https://brainly.com/question/20385181
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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?
A district manager has 8 different stores. He wants to reward some of his
employees by giving them a position as a manager in one of these stores. If he
has 5 qualified employees, how many ways can this be done?
Answer:
Please explain the question more.... but he can have 5 managers at 5 stores while he looks for other qualified individuals or manages the others himself.
Step-by-step explanation:
What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.
Answer:
8.08%
Step-by-step explanation:
Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.
Answer:
Given that:
Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2
The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex], where x is the raw score.
If the sample size (n) is taken then the z score is given by:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
Therefore for this problem the z score is:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }=\frac{2.9-2.6}{\frac{0.3}{\sqrt{2} } }=1.41[/tex]
From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%
Please help? It's worth 16 points!!!!
Answer:
I’m not too sure what your question is exactly but if your just trying to graph the two equations I can help u with that (:
Step-by-step explanation:
The first thing you should do is change the second equation to slope intercept form. It is much easier for most people. From there write out your table by choosing a number for x then plugging that number into the equation to find y. For the first equation (y=1/3x+2) it’s always easier to use multiple of three for the number of x. For example, if 3 was my number for x I would multiply 1/3 by 3=1 then simply add 2=3. So the coordinates for one point on that table would be 3,3. You continue to do that for each graph then plot your points. (In my graph, purple is the equation y+9=-9/3x-9 and black equals the equation y=1/3x+2
Answer:
(-6, 4)
Step-by-step explanation:
y= -1/3x+2
y+4= -4/3x ⇒ y= -4/3x-4
Comparing the 2 equations, we get:
-1/3x+2= -4/3x-44/3x - 1/3x= -4-2x= -6y= -1/3*(-6)+2=2+2=4So the solution is point (-6, 4)
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
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...
i need number 7 pls help :))
Answer:
3 pizza
Step-by-step explanation:
four people eat 3/4 of pizza
4*3/4=12/4=3 pizzas
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
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
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
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]
A right rectangular prism has length 9 cm, width 5 cm, and height 3 cm. If the length, width, and height are doubled, what happens to the surface area?
The surface area is multiplied by 8.
The surface area is multiplied by 4.
The surface area is multiplied by 6.
The surface area is doubled.
Answer:
B - The surface area is multiplied by 4.
Step-by-step explanation:
The first step is to figure out the original surface area of the shape using this formula;
A = 2(wl + hl + hw)
Which in this problem, means:
A = 2 (5 × 9) + 2 (3 × 9) + 2 (3 × 5) = 174.
Now, we must figure out the surface area once the measurements are doubled, using the same equation:
A = 2 (10 × 18) + 2 (6 × 18) + 2 (6 × 10) = 696.
If we then take a look back at the original surface area, we can already tell the answer is not D, as 696 is too high to be double 174, considering 150 × 2 is 300, and 24 × 2 is 28.
We can also eliminate option A, as it's clear multiplying 174 by 8 would take us into the thousands, since 8 × 100 is 800, and already over our target.
So we're left with two options - Multiplied by 4, or multiplied by 6.
If we know that multiplying 174 by 8 would take our answer into the thousands, it's also safe to assume multiplying by 6 would do the same, because 6 × 100 is 600, and multiplying 74 by 6 would take us way over target, too.
However, just to be on the safer side, we can divide 696 by 6;
696 ÷ 6 = 116.
Now we have eliminated answer C.
So the answer is B - The surface area is multiplied by 4.
(Confirmation -
696 ÷ 4 = 174
174 × 4 = 696)
Hope this helped!
−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.
Draw the graph of y=4x. From the graph find the value y when x= -2
here is the answer hope this helps
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
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
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.
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! :)
what is 2 Square of 100? what is 3 Square of 250
Answer:
10,000
15,625,000
Step-by-step explanation:
Squaring a number means multiplying a number by itself.
100^2=100*100=10,000
Cubing a number means multiplying a number by itself 3 times.
250^3=250*250*250=15,625,000
Hope this helps ;) ❤❤❤
Answer:
10000
15,625,000
Step-by-step explanation:
100 x 100 = 10000
250 x 250 x 250 = 15,625,000
20. There were sold 200 books and magazines. Ono book costs $15 and oach magazino costs
$5: they spent $1500 in total. How many books and how many magazines wero sold?
Answer:
Books = 50
Magazines = 150
Step-by-step explanation:
b + m = 200
b = 200 - m..................(1)
15b + 5m = 1500
Substituting,
15(200-m) + 5m = 1500
3000 - 15m + 5m = 1500
-10m = 1500 - 3000
m = 1500 / 10 = 150
b = 200 - 150 = 50
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! :)
x + 6 = 2x -11 please show work
Hey there! :)
Answer:
x = 17.
Step-by-step explanation:
Given:
x + 6 = 2x - 11
Subtract x from both sides:
x - x + 6 = 2x - x - 11
6 = x - 11
Add 11 to both sides:
6 + 11 = x - 11 + 11
17 = x.
Answer: 17
Step-by-step explanation:
+6=2x−11
Step 1: Subtract 2x from both sides.
x+6−2x=2x−11−2x
−x+6=−11
Step 2: Subtract 6 from both sides.
−x+6−6=−11−6
−x=−17
Step 3: Divide both sides by -1.
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
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
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
Can someone please help me graph these 4?
Answer:
These are ordered 1, 2, 3, 4
(-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
(algebra 1) what is the name of the property of: a+(-a)=0
a. Identify property of multiplication
b. Inverse property of addition
c. Identify property of addition
d. Inverse property of Multiplication
Answer:
C. Inverse property of addition
Step-by-step explanation:
The inverse of a is (-a) and when you add a positive and negative number of the same amount the answer is zero because they cancel each other out.