Answer:
-314
Step-by-step explanation:
Write the equation in standard form. Identity the center and radius.
x² + y2 + 8x-4y-7=0
Answer:
See belowStep-by-step explanation:
Given equation:
x² + y² + 8x - 4y - 7 = 0Convert this to standard form by completing the square:
(x - h)² + (y - k)² = r², where (h, k) - center, r - radiusx² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0(x + 4)² + (y - 2)² - 27 = 0(x + 4)² + (y - 2)² = 27 (x + 4)² + (y - 2)² = (√27)²The center is (- 4, 2) and the radius is √27
The following table shows the working populations, average salaries, and income tax rates of France and Germany. Country Workforce Average Salary (€) Income Tax Rate France 31,491,232 29,766 69. 3% Germany 38,844,017 32,104 45. 2% Based on the information in the table, how do the annual tax revenues of Germany and France compare to one another? a. The French government gathers €85,930,190,677 more than the German government. B. The French government gathers €543,141,128,984 more than the German government. C. The German government gathers €309,680,310,056 more than the French government. D. The German government gathers €223,750,119,378 more than the French government.
Percentage is a way to describe a part of a whole. French government gathers €85,930,190,677 more than the German government.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
We know that the number of people who are working in France is 31,491,232 and their average salary is €29,766 while the amount of tax they pay from their salary is 69.3%. therefore, the total amount of tax that France will gather,
[tex]Tax_{France} = 31,491,232 \times 29,766 \times 69. 3\%[/tex]
[tex]= 31,491,232 \times 29,766 \times \dfrac{69. 3}{100}\\\\= 31,491,232 \times 29,766 \times 0.693\\\\=6.49596\times 10^{11}[/tex]
Now, the population that is working in Germany is 38,844,017 while the average earning of the population is €32,104 and they pay 45.2% of their salary as tax. therefore,
[tex]Tax_{Germany} = 38,844,017 \times 32,104 \times 45.2\%[/tex]
[tex]= 38,844,017 \times 32,104 \times 45.2\%\\\\= 38,844,017 \times 32,104 \times \dfrac{45.2}{100}\\\\= 38,844,017 \times 32,104 \times 0.452\\\\=5.63666 \times 10^{11}[/tex]
Further, the difference between the tax of the two countries can be written as,
[tex]\text{Differene in the tax}= Tax_{France} - Tax_{Germany} = 85,930,190,677[/tex]
hence, the French government gathers €85,930,190,677 more than the German government.
Learn more about Percentage:
https://brainly.com/question/6972121
Answer:
Based on the information in the table, how do the annual tax revenues of Germany and France compare to one another?
a. } The French government gathers €85,930,190,677 more than the German government.b. } The French government gathers €543,141,128,984 more than the German government.
c. } The German government gathers €309,680,310,056 more than the French government.
d.} The German government gathers €223,750,119,378 more than the French government.
Step-by-step explanation:
Correct on Edge 2022
From a sample tray, 4 out of the last 10 cake samples chosen were strawberry. based on past data, of the next 20 samples taken, how many you should expect to be pieces of strawberry cake?
Answer:
8 pieces
Step-by-step explanation:
Pls help. It is due in 20 mins
James is riding in a 102-mile bike race.
When he stops for his first water break,
he is told that the second part of the
course is twice as long as the first part.
How long is the first part of the course?
Answer:
The first part of the course is 34 miles
Step-by-step explanation:
If you get 34 miles into a 102 miles bike race, you still have 68 miles left, which is double 34
Answer:
34
Step-by-step explanation:
34 + 68 =102
34×2 =102 so 34 is the answer.
5. Solve for x:
1/x-1/3=-1/3x
Answer:
(x-3)/9
Step-by-step explanation:
STEP
1
:
-x
Simplify ——
3
Equation at the end of step
1
:
(3 - x) -x
——————— • ——
3x 3
STEP
2
:
3 - x
Simplify —————
3x
Equation at the end of step
2
:
(3 - x) -x
——————— • ——
3x 3
STEP
3
:
Canceling Out :
3.1 Canceling out x as it appears on both sides of the fraction line
Final result :
x - 3
—————
9
hope this helps!!
i need help on this
Answer:
The answer is B.
3x + 5y = 24
4x + 3y = 21
Step-by-step explanation:
x = cost of a chocolate chip cookie
y = cost of an oatmeal cookie
3x + 5y = 24
4x + 3y = 21
Lets solve:
-3(3x + 5y = 24) ==> -9x - 15y = -72
5(4x + 3y = 21) ==> 20x + 15y = 105
Let's add our new equations:
-9x - 15y = -72
20x + 15y = 105
11x = 33
/11 /11
x = $3.00 (the cost of each chocolate chip cookie)
Now lets find the cost of each oatmeal cookie using one of our original equations: 3x + 5y = 24
3(3) + 5y = 24
9 + 5y = 24
-9 -9
5y = 15
/5 /5
y = $3 (the cost of each oatmeal cookie)
Each type of cookie (chocolate chip and oatmeal), costs $3.00
Hope that helps!
What is the volume of a right circular cylinder with a base diameter of 6 m and a height of 5 m? Enter your answer in the box. Express your answer using π. M³ $\text{Basic}$.
The volume of the cylinder depends on its radius and height. The volume of the cylinder is 141.3 m3.
What is the volume of the cylinder?The volume of the cylinder is defined as the density of the cylinder which measures the amount of material contained by the cylinder.
Given that the height h of the cylinder is 5m and the diameter d of the base of the cylinder is 6m.
The radius of the cylinder is given below.
[tex]r = \dfrac {d}{2}[/tex]
[tex]r= \dfrac {6}{2}[/tex]
[tex]r = 3\;\rm m[/tex]
The volume of the cylinder is calculated as given below.
[tex]V = \pi r^2 h[/tex]
[tex]V = 3.14 \times 3^2 \times 5[/tex]
[tex]V = 141.3 \;\rm m^3[/tex]
Hence we can conclude that the volume of the cylinder is 141.3 m3.
To know more about the volume of the cylinder, follow the link given below.
brainly.com/question/12748872.
What is the solution for x in the equation?
-2x + 14 + 10x = 34
Answer:
[tex]x=2.5[/tex]
Step-by-step explanation:
Given the following question:
[tex]-2x+14+10x=34[/tex]
In order to find the answer, we will group like terms, (terms with similar variables) and simplify.
[tex]-2x+14+10x=34[/tex]
[tex]-2x+14+10x=34=-2x+10x+14=34[/tex]
[tex]-2x+10x+14=34[/tex]
[tex]14-14=0[/tex]
[tex]34-14=20[/tex]
[tex]-2x+10x=20[/tex]
[tex]-2x+10x=8x[/tex]
[tex]8x=20[/tex]
[tex]8x\div8=x[/tex]
[tex]20\div8=2.5[/tex]
[tex]x=\frac{5}{2}/2.5[/tex]
Hope this helps.
HELPP
if you are diving from a diving board that is 20 feet in the air, into a pool. When jumping into the pool, you touch the bottom in the 10-foot section of the pool. How far did you fall from the diving board to the bottom of the pool? (sentence required)
Answer: 30 feet
Explanation:
Draw a vertical number line.
Mark +20 or simply 20 which is the starting position at the diving board. The value 0 on the number line is the water's surface. The position -10 is the portion 10 feet at the bottom of the pool.
Going from 20 to 0 is 20 feet. Then going from 0 to -10 is another 10 feet.
Overall, you travel 20+10 = 30 feet.
3.4 Six men can build 150 m of wall in ten hours. How many men are needed to build a
200 m wall in four hours?
Answer:
20 men
Step-by-step explanation:
6*10=60 man hours to build 150 m
60/150=2/5 man hours per m
200*2/5=80 man hours
80/4 =20 men
. What are the coordinates of the point (-1,0) after a translation 5 units to the right?
Answer:
4,0
Step-by-step explanation:
by moving left or right, our position on the y axis stays the same. We are however moving along the x axis. add 5 to -1, and you get 4.
A large cheese pizza cost $7.40. Diego has $40 to spend on pizzas. How many large cheese pizzas can he affors?
Answer:
If 7.40 is the price of a pizza, we have to make sure that he spends less than $40 on large pizzas. if Diego buy 5 pizzas he would spend $37 and would not have enough to afford another large pizza, meaning that he can buy 5 large pizzas
What is the solution to the proportion? (1 point)
Answer:
Your answer would be 25.
Please help me I need it please
Answer:
42.6%
Step-by-step explanation:
The percent increase is calculated as
percent increase = [tex]\frac{increase}{original}[/tex] × 100%
increase = $3.55 - $2.49 = $1.06
% increase = [tex]\frac{1.06}{2.49}[/tex] × 100% ≈ 42.6% (to the nearest tenth )
At the Flyer Factory, the assembly line produces 102 computers
in a batch. The computers are packaged in boxes with 25 each.
if 10 batches are made in one day, how many computers will be
leftover at the end of it?
What is the length of the hypotenuse, c? Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
By using the Pythagorean theorem:
b^2+3^2=5^2
b^2+9=25
b=sqrt (25-9)
b=sqrt(16)
b=4
=> 4^2+7^2=c^2
16+49=c^2
65=c^2
=>c=sqrt(65)
c = (approximately) 8
state weather (-2)3 will be positive or negative
Answer:
negative.
Step-by-step explanation:
rules of multiplying intergers;
- * - = +
+ * + = +
- * + = - (-2) x 3 follows this rule)
+ * - = -
I'm very confused, can someone explain this to me?
Answer: 118 degrees
Step-by-step explanation:
By the exterior angle theorem.
3x + 12 + 2x + 16 = 6x + 10
5x + 28 = 6x + 10
x = 18
So measure of angle 3 = 6(18) + 10 = 118 degrees
Which word phrase describes the algebraic expression x - 16. 5? 16. 5 decreased by x x less 16. 5 x more than 16. 5 16. 5 minus x.
The expression "x -16.5" is expressed as "x less 16.5". Option B shows the correct expression.
What is the expression?The expression is defined as a set of terms combined using the operations addition, subtraction, multiplication, or division.
The given expression is [tex]x - 16.5[/tex].
The expression shows that 16.5 is subtracted from x. The resulting value is 16.5 less than x.
If the expression is expressed in words, it would be "x minus 16.5" or "x is reduced by 16.5"
Hence we can conclude that the expression "x -16.5" is expressed as "x less 16.5". Option B shows the correct expression.
To know more about the expression, follow the link given below.
brainly.com/question/13947055.
1,800 kilometers in 75 hours = ______ kilometers per hour
Answer:
24 kilometers per hour
Step-by-step explanation:
Distance = Rate x time
You need to divide the number of kilometers by the number of hours it took.
1800 kilometers = 75 hours1800 kilometers ÷ 75 = 1 hour24 kilometers per hour-Chetan K
Please I could use all the help (no URL links)
Please help, thanks.
Answer:
a) $60
b) 60 + 6(22) = 132 + 60 = $192
c) 60 + 6(30) + 9(8) = 240 + 72 = $312
Is the golden gate bridge an example of a quadratic function?
Answer:
The main suspension cables between the towers of the Golden Gate Bridge form a parabola that can be modeled by the quadratic function: Y = 0.000112x2 + 220 where x is the horizontal distance from the middle of the bridge to the towers and y is the vertical distance from the water level to the bridge deck.
Step-by-step explanation:
So... yes.
If f(x) = 9/4x, what is the value of f(-10)
Step-by-step explanation:
Substitute f(-10) into the function:
[tex]f(-10)=\frac{9}{4(-10)}[/tex]
Multiply:
[tex]f(-10)=\frac{9}{(-40)}[/tex]
Simplify:
[tex]f(-10)=-0.225[/tex]
Write the equation in standard form. 4y−5x=3(4x−2y+1)
Answer:
-17x+10y=3
Step-by-step explanation:
Standard form is:
Ax+By=C
Let's start by simplifying the equation:
4y-5x=3(4x-2y+1)
Distribute the 3:
4y-5x=3(4x)+3(-2y)+3(1)
4y-5x=12x-6y+3
Subtract 12x from both sides
4y-17x=-6y+3
Add 6y to both sides
10y-17x=3
-17x+10y=3
Evaluate the expression 3. 14(a2 ab) when a = 4 and b = 2. (Input decimals only, such as 12. 71, as the answer. ) Answer for Blank 1:.
Answer:
1792
Step-by-step explanation:
14(a^2 ab)
a=4 b=2
=14(4^2*4*2)
=14(16*8)
=14*128
1792
how do i know when my father will come back wit da milk
Answer:
you dont he never will
Step-by-step explanation:
he left
got milk
forgot about you
never came back
Answer:
He will neva come back
Step-by-step explanation:
Have a good day!
A tree is 4 ft 2 in. Tall. To find the height of a tower, the shadow of the tree and the shadow of the tower were measured. What is the height h of the tower?.
Answer:
20 ft
Step-by-step explanation:
Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.
ZY=(24⋅12) in.
Simplify.
ZY=288 in.
RH=(4⋅12) in.+2 in.
Simplify.
RH=50 in.
RQ=(5⋅12) in.
Simplify.
RQ=60 in.
ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground
are congruent: ∠Z≅∠Q.
∠Y≅∠R by the Right Angle Congruence Theorem.
Therefore, by the Angle-Angle Similarity △ZXY~△QHR.
Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tower).
ZYQR=XYHR
Substitute the values.
28860=h50
Cross multiply.
60h=50(288)
Simplify.
60h=14400
Divide both sides by 60.
h=240
The height of the tower is 240 in., or 20 ft.
-1 < x < 4
x is an integer.
Write down the possible values of x.
Answer:
0, 1, 2, 3
Step-by-step explanation:
-1 < x < 4 means that x has to be an integer (whole number aka no fractions) between -1 and 4. Note that the < and > means that x cannot be -1 or 4 since it has to be greater than -1, or smaller than 4.