In which quadrant is the point (-5, -4) in?
III
IV
II
I
Answer:
quadrant 3
Step-by-step explanation:
only quadrant 3 contains both negative values for x & y
Answer:
III
Step-by-step explanation:
First, remember the order of the quadrants; quadrant I is in the top right corner then the quadrants increase moving counterclockwise. So, the third quadrant is the bottom left. Each quadrant consist of (x,y) values of different signs.
They are as follows:
I - (x,y)
II - (-x,y)
III - (-x,-y)
IV - (x,-y)
Since, (-5,-4) has two negative coordinates, it must be in the III quadrant.
¿ Cuál es la ecuación de la circunferencia que pasa por punto (-4,2) y
su diámetro es 8 ?
Porfaaaa
Answer:
(x+4)² + (y-k) ² = 16
Step-by-step explanation:
The equation of the circumference is expressed as;
(x-h) ² + (y-k) ² = r²
(h,k) is the centre
r is the radius
Given that diameter = 8
radius = 8/2
radius = 4units
Given that h = -4 and k = 2
(x-h) ² + (y-k) ² = r²
(x-(-4)) ² + (y-2) ² = 4²
(x+4)² + (y-k) ² = 16
This gives the required equation
Which of the binomials below is a factor of this trinomial?
X^2 + 12x + 36
x²+12x+36
x²+6x+6x+36
x(x+6)+6(x+6)
(x+6)(x+6)
(x+6)²
Answer:
x + 6
Step-by-step explanation:
someone help plsplspls
Answer/Step-by-step explanation:
Volume of a cone = ⅓*π*r²h
Where,
Radius (r) = 7 mm
Height (h) = 8 mm
Plug in the value into the equation
V = ⅓*3.14*7²*8
V = ⅓*3.14*49*8
V = 410.293333
V ≈ 410.3 mm³ (nearest tenth)
A chemist is using 354 milliliters of a solution of acid and water. If 15.1% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
what is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4
Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
[tex]f(x)=x^4-2x^3-27x^2-9x+18[/tex]
And we want to find the remainder after it is divided by the binomial:
[tex]x+4[/tex]
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (x - a), then the remainder will be given by P(a).
Here, our divisor is (x + 4). We can rewrite this as (x - (-4)).
Therefore, a = -4.
Then according to the PRT, the remainder will be:
[tex]f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6[/tex]
The remainder will be 6.
It would be great if someone could answer this :)
Answer:
Step-by-step explanation:
You could do this step by step.
The first year is left alone: 90,000 kt
The second year is 90000 * 0.96 That represents a 4% reduction
Second year = 86400
Third year = 86400 * .96 = 82944
Fourth year = 82944 * 0.96 = 79626.24 Here's where you run into your first dilemma. What do you do with that 0.24? The answer is, you round it here, but leave it in your calculator.
Fourth year = 79626
Fifth year = 79626.24 * 0.96
Fifth year = 76441
Sixth year = 79626.1904 * 0.96
Sixth year = 73383.542
Sixth year = 73384
Of course once you have gone through all that, you could do it this way
Sixth year = 90000 * 0.96^(n - 1) = 73383.54 = 73384
Same answer both ways.
I'm going to leave the addition to you.
Sum = a* (r^(n) - 1)/ (r - 1)
Sum = 90000 * (0.96^5 - 1) / (0.96 - 1 ) = 415411 rounded. I think that's right, but check it out.
cosy/1-siny = 1+siny/cosy
varify using trig identity.
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]
On the left, we can multiply both layers by (1 + sin(y)):
[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]
Multiply:
[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]
From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:
[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]
Cancel:
[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]
Hence proven.
A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below:
Snow cone with spherical bubble gum ball at the bottom
The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice? (4 points)
Group of answer choices
4.43 in3
0.07 in3
13.50 in3
4.50 in3
==========================================================
Explanation:
The volume of the cone is...
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*(1.25)^2*2.75
V = 4.49739583333333
which is approximate.
-----------
The volume of the sphere is
V = (4/3)*pi*r^3
V = (4/3)*3.14*(0.25)^3 ... note the radius is half the diameter
V = 0.06541666666667
which is approximate as well
-----------
Subtract the two volumes to finish things up
4.49739583333333-0.06541666666667 = 4.43197916666667
The result 4.43197916666667 then rounds to 4.43
This is the approximate amount of empty space in the cone that isn't taken up by the spherical gum. The units are in "cubic inches" or "in^3" for short.
Help Please Pythagorean Theorem
Answer:
1. x = 15
2. x = 26
3. x = 7.6157731059 (you can round this answer to 8 or 7.6)
4. x = 11.7
5. x = 25
6. x = 1.4
7. x = 22.5
8. x = 38.4
9. x = 10.3 v = 5.8
For some of them, I had to use estimation.
I used this formula : a^2 + b^2 = c^2
Help me for 40 points. Thank you very much
Answer:
answer is 11/16 plz give me brainlist
Si alicia se gasta 2 pesos, le quedaría el doble de dinero que si se gastara 4 pesos ¿cuantos tiene alicia?
Answer:
La cantidad de dinero que tiene Alicia es 6 pesos.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones lineales, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en las ecuaciones.
Siendo:
x= cantidad de dinero que tiene Alicia.y= dinero que le quedaría a Alicia si gasta 4 pesos.Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x-2=2*y} \atop {x-4=y}} \right.[/tex]
Sustituyendo la ecuación 2 en la primer ecuación:
x-2= 2*(x -4)
Resolviendo:
x -2= 2*x -2*4
x -2= 2*x -8
-2 + 8= 2*x -x
6= x
Entonces, la cantidad de dinero que tiene Alicia es 6 pesos.
El cuadrado de la suma (x + 4)2 es
a) X2 + 8x + 8
b) X2 + 4x + 16
c) X2 + 8x + 16
d) X2 + 4x + 8
Answer:
B.
Step-by-step explanation:
sana makatulong sayo
A rectangle has an area of square unit inside length of 2 1/4 unit find the other side length of the Rectangle
Answer:
Therefore, the other side length of the Rectangle b = 4 (4/9)
Step-by-step explanation:
Although crucial information that area of the rectangle is missing we can assume it be 10 square units for understanding purposes.
Let the sides of the rectangle be a and b.
Given a = 2 1/4 units
a = 9/4 units
b=?
Area of a rectangle = product of its sides = a×b
⇒ a×b= 10
⇒ 9b/4 = 10
⇒ b= 40/9 = 4 (4/9)
Therefore, the other side length of the Rectangle b = 4 (4/9)
What is the perimeter of a rectangle whose length is 1472 m and breadth is 1072 m ?
2472 m
4872 m
25 m
50 m
Answer:
5088 is the perimeter of the rectangle.
Answer:
5088 is the right answer
The formula of perimeter of rectangule is 2(l+b)
So, l=1472 b=1072
2(1472+1072)
2(2544)
2×2544 IS 5088
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent? (a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)
Answer:
100(a/b)
Step-by-step explanation:
Fraction
a/b
To a percent
100(a/b)
100(a/b)
________________took the test review
(got 100%)
1\tfrac{2}{5} \div \frac{8}{9}
1 5/2 ÷ 9/8
Answer:
Step-by-step explanation:
What you wrote below the top line and the bottom line are not the same thing.
I think you really want the second line, but one can't be sure.
(1*2 + 5)/2 div (9/8)
7/2 // 9/8
7/2 * 8*9
7*8/18 = 56/18 = 28/9
If you really do want the top line (the latex) it is different.
1 2/5 div (8/9) Is there such a thing as tfrac? I didn't know this but there is.
(1*5 + 2)5 // (8/9)
7/5 // 8/9 Invert the bottom fraction and multiply
7/5 * 9 / 8
63 / 40
1 23/40
Write the equation of a line passing through (-4.3) and perpendicular to -6x + 4y =-12.
Answer:
y=-2/3*x+1/3
Step-by-step explanation:
-6x+4y=-12
put into y=mx+b line equation
4y=6x-12
y=(6/4)x-(12/4)
y=(3/2)x-4
slope is 3/2
to find perpendiular line slope take the negative inverse.
-(2/3) = slope of perpendicular line
use line equation and solve for y-intercept (b)
3=(-2/3)*(-4)+b
3=8/3+b
b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.
If f(x) = 3x + 4, what is the value of f(-4)?
Answer:
-8
Step-by-step explanation:
f(x) = 3x + 4
substitute -4 in place of x
f(-4) = 3*-4 + 4
f(-4) = -12 + 4
f(-4) = -8
Can you solve this graph problem?
a) what is the difference in temperatures between 7 am to 5 pm
b) which part of the day was the temperature rising the fastest a, b, c, d, or e?
Answers:
a) The difference in temperature is 25 degrees Fahrenheit. b) The temperature was rising fastest during interval 'a'=========================================================
Explanations:
a) We subtract the y coordinates of the left and right endpoints. We get 65-40 = 25b) The fastest rising temperature will visually correspond to the steepest part of the curve. That would be region 'a'. After this interval, region b is still increasing, but not as much as the previous interval (since it's not as steep here). Then it gets less steep for region c, and d sort of flattens out as well. So during the morning hours it appears the temperature is going up the fastest.Given that y = 9 cm and 0 = 23°, work out x rounded to 1 DP.
у
х
00
PLEASE HELP
Answer:
x ≈ 3.5 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex] = [tex]\frac{x}{9}[/tex] ( multiply both sides by 9 )
9 × sin23° = x , then
x ≈ 3.5 cm ( to 1 dec. place )
Which equations have the same solution as p−3=5?
Hint: There are 3 equations
3p=30
3 p is equal to 30
p+2=10
p plus 2 is equal to 10
p8=1
p over 8 is equal to 1
p+7=16
p plus 7 is equal to 16
4p=32
Answer:
p + 2 = 10
[tex]\frac{p}{8} =1[/tex]
4p = 32
Step-by-step explanation:
p - 3 = 5
p - 3 + 3 = 5 + 3
p = 8
3p = 30
3p ÷ 3 = 30 ÷ 3
p = 10
10 ≠ 8
p + 2 = 10
p + 2 - 2 = 10 - 2
p = 8
8 = 8
[tex]\frac{p}{8} =1[/tex]
[tex]8(\frac{p}{8}) =8(1)[/tex]
8 = 8
p = 8
p + 7 = 16
p + 7 - 7 = 16 - 7
p = 9
9 ≠ 8
4p = 32
4p ÷ 4 = 32 ÷ 4
p = 8
8 = 8
PLEASE HELP WITH THIS QUESTION
Answer:
The correct answer is Redbirds
P = 4/5 = 0.8
Debbie is making 16 cakes for a large
banquet. The cake recipe calls for 1.5
cups of milk for one cake. How many
quarts of milk should Debbie
purchase at the store to have enough
for all of the cakes?
Answer:
12 tablespoons
Step-by-step explanation:
because 3/4 of 16 tablespoons is 12
Answer:
6 Quarts of milk!
Step-by-step explanation:
Do 1.5 cups times 16 to get 24 cups. Then you covert cups to quarts to get an answer of 6. I hope this helped you, have a nice day!! :)
Help 25 points !!!
Use the two-way frequency table to complete the two-way relative frequency table which shows the distribution of data with respect to all types of
books. Round your answers to the nearest whole percent.
Two-way Frequency Table
Answer:
890238 is the answer
Step-by-step explanation:
CAN SOMEONE HELP ME OUT WITH THIS, PLEASE AND THANK YOU
Answer:
60 people
Step-by-step explanation:
Of means to multiply
3/8 * 160
Rewriting
3 * 160/8
3 * 20
60
Answer:
60 students gave their speeches
Step-by-step explanation:
divide 160 by 8 you get 20. Then you multiply the 20 by 3 because 20 is only 1/8 of the 160 students, and you get 60.
help me please thank you
Answer:
99 feet
Step-by-step explanation:
55 plus 44 ur welcome pus sy
The length of two leg are given as AC = 55ft AB = 44ft. Hence, The length of the missing leg is 33 ft.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let's consider the right angle triangle ABC.
The length of two leg are given as
AC = 55ft
AB = 44ft.
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|55|^2 = |44|^2 + |BC|^2 \\\\ |BC|^2= 3025 - 1936\\\\ |BC|^2 = 1089\\\\ |BC| = \sqrt{1089} \\\\ |BC| = 33[/tex]
Hence, The length of the missing leg is 33 ft.
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ2
identify the postulate (if any) that can be used to show the two triangles are congruent.
Answer:
Step-by-step explanation:
1) SSS
2) SAS
3) SSA
4) SSA
no, don't say Angle Side Side... :P
Someone please help me thank
Step-by-step explanation:
since theyre mutliplied you can separate
(125 / 25) x (x^3 / x^4) x (y^5 / y^2)
when you divide exponents, they subtract
Dont be afraid of negative exponents
(125 / 25) x (x^-1 / 1) x ( y^3)
x^-1 = 1/x
solve for 125/25 and put together the fractions
Answer:
[tex]\frac{5y^3}{x^1}[/tex] or [tex]\frac{5y^3}{x}[/tex]
Step-by-step explanation:
125/25 = 5
x³ - x⁴ = x⁻¹
y⁵ - y² = y³
All together; 5x⁻¹y³
Since the answer has to be positive exponents, it would be;
[tex]\frac{5y^3}{x^1}[/tex]
Hope this helps!
Find the value of P (7, 2). HELP PLSSSS
Given:
[tex]P(7,2)[/tex]
To find:
The value of the given permutation.
Solution:
Permutation is defined as:
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
We have,
[tex]P(7,2)[/tex]
Using permutation formula, we get
[tex]P(7,2)=\dfrac{7!}{(7-2)!}[/tex]
[tex]P(7,2)=\dfrac{7\times 6\times 5!}{5!}[/tex]
[tex]P(7,2)=7\times 6[/tex]
[tex]P(7,2)=42[/tex]
Therefore, the value of P(7,2) is 42.
