Answer:
exact form: x=-1/2
decimal form: x=-0.5
Which answers are written in function notation
Step-by-step explanation:
An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answer:
Inside
Step-by-step explanation:
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of poiñt from centre is less than the radius.
Hence the point lies within the circle
10 points 2 questions best one get brainliest
Answer:
9a. GCF: 16. LCM: 960
9b. GCF: 55. LCM: 275
9c. GCF: 24. LCM: 114
9d. GCF: 40. LCM: 600
10a. GCF: 120. LCM: 1440
10b. 10, 2, 5, 20
10c. 2880, 4320, 5760, 7200
What is the pH of a solution with a 1.50 × 10−9 M hydroxide ion concentration? (4 points) 0.176 5.18 8.82 9.20
Answer:
5.18
Step-by-step explanation:
This is a chemistry question. However the solution to the problem is given below:
We'll begin by calculating the pOH of the solution. This can be obtained as follow:
Concentration of Hydroxide ion [OH¯] = 1.5×10¯⁹ M
pOH =?
pOH = –Log [OH¯]
pOH = –Log 1.5×10¯⁹
pOH = 8.82
Finally, we shall determine the pH of the solution. This can be obtained as follow;
pOH = 8.82
pH =?
pH + pOH = 14
pH + 8.82 = 14
Collect like terms
pH = 14 – 8.82
pH = 5.18
Therefore, the pH of the solution is 5.18
Answer:
5.18
Step-by-step explanation:
I took the test and got it right!
A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcom cost the
team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15
players? Round to the nearest cent.
O S34.05
0 $42.72
57.661.25
59.611.25 hurry I'm being timed!
Answer:
$34.05
Step-by-step explanation:
Please help me I really can't do these
Answer:
[tex]110 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
[tex]===========================================[/tex]
Squares(2):
5*5=25
Multiply by 2
50 in.
Rectangles(4):
5*3=15
Multiply by 4.
60 in.
Total:
Add.
50+60= 110 in2
I hope this helps!
Please someone help I can not get past this question
Answer:
65.76 m
Step-by-step explanation:
This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.
Starting with the triangle:
1/2(b*h)=a
We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:
1/2*15=a or 15/2=a
a=7.5
Then we calculate the area of the rectangle:
l*w=a
5*6=a
30=a
Then the area of the semi circle:
First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):
3.14*r^2=a
3.14*3^2=a
3.14*9=a
28.26=a
Finally, we add all three areas from above:
7.5+30 + 28.26 = 65.76
A mortgage can take up to 25 years to pay off. Taking a $250,000 home, calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period. What do you observe from your calculations?
Answer:
a-1. Using semi-annually compounded interest rates of 4%, or 0.04, we have:
M15 = $2,389.13
M20 = $2,091.10
M25 = $1,929.54
a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055
M15 = $2,841.49
M20 = $2,580.47
M25 = $2,450.28
a-3. Using semi-annually compounded interest rates of 7%, or 0.07
M15 = $3,329.35
M20 = $3,108.80
M25 = $3,009.40
b-1. It can be observed that there is a negative relationship between the month-end payment and the payment period.
b-2. It can be observed that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.
Step-by-step explanation:
The month-end payment for each period can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:
Mn = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
Mn = month-end payment for a particular year period = ?
PV = Present value or home value = $250,000
r = Monthly interest rate = semiannual interest rate / 6 months
n = number of months = Number of years * 12 months
Using equation (1), we have:
a. Calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period.
a-1. Using semi-annually compounded interest rates of 4%, or 0.04
M15 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(15*12)) / (0.04 / 6)) = $2,389.13
M20 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(20*12)) / (0.04 / 6)) = $2,091.10
M25 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(25*12)) / (0.04 / 6)) = $1,929.54
a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055
M15 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(15*12)) / (0.055 / 6)) = $2,841.49
M20 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(20*12)) / (0.055 / 6)) = $2,580.47
M25 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(25*12)) / (0.055 / 6)) = $2,450.28
a-3. Using semi-annually compounded interest rates of 7%, or 0.07
M15 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(15*12)) / (0.07 / 6)) = $3,329.35
M20 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(20*12)) / (0.07 / 6)) = $3,108.80
M25 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(25*12)) / (0.07 / 6)) = $3,009.40
b. What do you observe from your calculations?
Two things can be observed from the calculations:
b-1. At a particular semi-annually compounded interest rate, the month-end payment decreases as the payment period increases. This implies that there is a negative relationship between the month-end payment and the payment period.
b-2. At a particular payment period, the month-end payment increases as the semi-annually compounded interest rate increases. This implies that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.
4x^2+22x factor the polynomial
Answer:
2x(2x+11)
Step-by-step explanation:
4x^2 +22x
Factor out 2x
2x*2x +2x*11
2x(2x+11)
Find sin A, round to the nearest hundredth.
Answer:
.92
Step-by-step explanation:
sin A = opp side/ hypotenuse
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 +7^2 = AC ^2
9+49 = AC ^2
58 = AC^2
Taking the square root
sqrt(58) = hypotenuse
sin A = 7/sqrt(58)
sin A =.91914503
sin A = .92
Y varies directly as x and k = 5
Y=kx
Find y when x = 5
Answer:
y = 25
Step-by-step explanation:
Given y = kx and k = 5 then
y = 5x ← equation of variation
When x = 5 , then
y = 5 × 5 = 25
Someone please help me ASAP! Worth 10 points
Answer:
(-1,-1)
Step-by-step explanation:
Step 1 identify coordinates of A
A is located at ( -3 , -3 )
Step 2 apply dilation by multiplying the x and y values of coordinate A by the scale factor
Given:
scale factor = 1/3
Coordinates of A: ( -3 , -3 )
* Multiply the x and y values by 1/3 *
( -3 * 1/3 , -3 * 1/3 ) -------> ( -1 , -1 )
The new coordinates would be (-1,-1)
multiply the coordinates of A by the scale factor given
6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface area, in cm², that needs to be painted? (Take pi to be 3.142.)
7. A tank in the shape of a cylinder of diameter 2.4 m and height 6.4 m contains oil to the brim. Find the number of complete cylindrical containers of base radius 8.2 cm and height 28 cm which can be filled by the oil in the tank.
Please help with the 2 questions. thank you!!
Unhelpful answer will be deleted ❌
Correct answer + with explanation will be chosen as the Brainliest Answer ✅
Answer:
4,895 containers
Step-by-step explanation:
The number of the wooden closed cylinders to be painted, n = 200
The diameter of each cylinder, d = 35 mm = 3.5 cm
The height of each cylinder, h = 7 cm
The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h
Where, π = 3.142, we get;
A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375
The surface area of each cylinder, A = 96.22375 cm²
The total surface area, [tex]A_T[/tex] = n × A
∴ [tex]A_T[/tex] = 200 × 96.22375 = 19,244.75
The total surface area that needs to be painted, [tex]A_T[/tex] = 19,22375 cm²
7. The base diameter of the tank, d₁ = 2.4 m = 240 cm
The height of the tank, h₁ = 6.4 m = 640 cm
The base radius of each cylinder container, r = 8.2 cm
The height of each cylindrical container, h₂ = 28 cm
The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;
n = (The volume of the tank)/(The volume of a cylinder)
The volume of the tank, V₁ = π·(d²/4)·h₁
∴ V₁ = π × (240²/4) × 640 = 9216000·π
The volume of the tank, V₁ = 9216000·π cm²
The volume of a cylinder, V₂ = π·r²·h₂
∴ V₂ = π × 8.2² × 28 = 1,882.72·π
The volume of a cylinder, V₂ = 1,882.72·π cm²
The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045
Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers
Answer:
6) About 19,244.75 square centimeters.
7) About 4895 containers.
Step-by-step explanation:
Question 6)
We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.
First, since the diameter is 35 mm, this is equivalent to 3.5 cm.
The radius is half the diameter, so the radius of each cylinder is 1.75 cm.
Recall that the surface area of a cylinder is given by the formula:
Where r is the radius and h is the height.
Therefore, the surface area of a single cylinder will be:
Then the total surface area for 200 cylinders will be:
Question 7)
We know that the tank has a diameter of 2.4 m and a height of 6.4 m.
Since its diamter is 2.4 m, then its radius is 1.2 m.
Find the total volume of the tank. The volume for a cylinder is given by:
Since r = 1.2 and h = 6.4:
Each container has a base radius of 8.2 cm and a height of 28 cm.
So, the radius of each container is 0.082 m and the height is 0.28 m.
Then the volume of each container is:
Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:
Triangle Angle-Sum Theorem
Answer:
answer is C , 123
Step-by-step explanation:
angle 1 = sum of the interior opposite Angles
1 = 60 + 63
1 = 123
What are the values that go into the green box?
Answer:
The value belonging to the green box is b
Step-by-step explanation:
QP uses the points Q and P
Q is (0,-a)
P is (b,-c)
The distance between the two points can be calculated using the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
(x1,y1) = (0,-a)
(x2,y2) = (b,-c)
D = √(b-0)^2 + (-c + a)^2
D = √(b)^2 + (-c + a)^2
6. The coordinates of the vertices of triangle CDE are C(3, - 2), D(5, 2) , and E(7, 0) The figure is rotated 90about the origin . What are the vertices of the resulting image, Figure C'D'E?
Answer:
Step-by-step explanation:
if it is rotated in clockwise direction then C'(-2,-3),D'(2,-5),E'(0,-7)
if rotated in anticlockwise direction C'(2,3),D'(-2,5),E'(0,7)
Is (-4, 2) a solution of 4x + 5y <_-7?
Choose 1 answer:
Yes or No
Answer:
no
Step-by-step explanation:
substitute the (x,y) values into the inequality.
4(-4)+5(2) less than or equal to -7
-16+10≤-7
-6≤-7 not a valid answer so ((-4,2) is not a solution
There are 18 girls in a class and the ratio of the number of girls and boys in the class is 3:2. Find the number of boys.
Answer:
12
Step-by-step explanation:
Multiply to get the number of girls they've given you.
3 x 6 = 18 girls.
2 x 6 = 12 boys.
Answer:
Number of boys = 12
Step-by-step explanation:
Let the total number of children in the class be x
Number of girls = 18
Number of boys = x - 18
Ratio of girls and boys = 3 : 2
Sum of the ratio = 5
Find the value of x
[tex]\frac{3}{5 } \times x = 18\\\\3 \times x = 18 \times 5\\\\x = \frac{90}{3} = 30[/tex]
Therefore, total number of children in the class = 30
Hence number of boys = x - 18 = 30 - 18 = 12
n a test,correct answers carry +3 marks and wrong answers carry -1 marks.Ramesh answered all the questions.He scored 79 marks,though he maked 5 mistakes.Find the number of correct answers?
Answer:
The number of correct answers is 28
Step-by-step explanation:
The value of a correct answer = +3
The value of a wrong answer = -1
The number of questions Ramesh answered = All the questions
The number of mistakes in the question = 5,
Let x represent the number of correct answers therefore, we get;
+3 × x + (-1) × 5 = 79
∴ x = (79 - (-1) × 5)/+3 = 28
The number of correct answers, x = 28
Jerry needs 216 posts to build a fence. He has 88 posts and needs P more. Write an equation that you could use to find the number of posts jerry still needs.
Answer:
P = 128 Post
Step-by-step explanation:
Total post needed = 216 posts
Number of post Jerry has = 88 posts
Number of posts jerry still needs = P
Total = Number of post Jerry has + Number of posts jerry still needs
216 = 88 + P
216 - 88 = P
128 = P
P = 128 Post
a donkey baked 46 pies. 3/23 he ate himself, the rest of the pies he put evenly among 4 plates. how much pies are there in each plate?
Answer:40
step by step explanation
3*23÷46=6
46-6=40
there are 40 pies in each plate
Answer:
Answer: 10 pies on each plate.
Step-by-step explanation:
Okay, to solve this problem we first need to find 3/23 of 46.
But before we do that, we need to know 1/23 of 46.
To solve this, we do 64 divided by 23 which equals 2.
then we multiple 2 by 3 to get 3/23 of 46 and that equals 6.
To find out how many pies remain, we subtract 6 pies from 46 pies, which gives us 40 pies. Then we divide 40 by 4, which is 10.
The measure of an angle formed by _blank_ is half the sum of the measures of the intercepted arcs
Answer:
The measure of an angle formed by Intersecting chords is half the sum of the measures of the intercepted arcs.
-----------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Answer:
Intersecting Chords
Step-by-step explanation:
Self Practice 5.3
1. Find the sum of the following arithmetic progression.
(a) -20, -15, -10, ..., 100
Answer:
5
Step-by-step explanation:
Have a phd in mathematics! Congrats on your first question!!!! Send me a brainlist :)
What number could replace the box so that the system of equations has
infinitely many solutions?
A. -9
B. 3
C. 9
D. -3
Answer:
d || if its wrong cancel me lol <3
Step-by-step explanation:
What's the answer for m⁶ - 25
Step-by-step explanation:
[tex] {m}^{6} - 25 \\ { {m}^{3} }^{2} - {5}^{2} \\ x = {m}^{3} b = 5 \\ ( {m}^{3} - 5)( {m}^{3} + 5)[/tex]
The following list shows how many brothers and sisters some students have: 3, 4, 4, 5, 5, 3, 2, 4, 6, 3, 6, 4, 2 State the mode.
Answer:
mode is 4
it has the highest occurrence
Answer:
The mode is 4
Step-by-step explanation:
The mode is a value that appears most frequently in a data set.
By looking at all the numbers, the number 4 appears the most: a total of four times.
Hope it helps (●'◡'●)
Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.
Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ≅ CY.
What is true about the areas of the trapezoids?
Each area is equal to half of the area of ABCD.
The area of AXYD is less than the area of BXYC.
The area of AXYD is greater than the area of BXYC.
Each area is equal to the area of ABCD.
Answer:
Each area is equal to half the area of ABCD
Step-by-step explanation:
AX ≅ CY
In parallelogram, opposite sides are equal.
AB = CD
AX + XB = CY + YD
CY + XB = CY + YD
XB = CY + YD - CY
XB = CY
Both trapezoids have equal area
Area of AXYD + area of BXYC = area of ABCD
Answer:
A. ) Each area to equal to half of the area of ABCD
Step-by-step explanation:
Edge 2021
A tether ball is attached to the top of a 15-foot pole. Maddy holds the ball 3 feet off the ground and 4 feet from the pole. How long is the rope that the tether ball is attached to?
Answer:
15.52 ft
Step-by-step explanation:
the length of the rope can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√15² + 4²
= √225 + 16
=√ 241
= 15.52 ft
Answer:
the answer is b the square root of 160
Step-by-step explanation:
i did it on the assignment
Find the measure of LM
Answer:
[tex]{ \tt{LM = ON}} \\ { \bf{6x - 7 = 2x + 9}} \\ { \bf{4x = 16}} \\ x = 4 \\ \\ { \bf{LM = 6(4) - 7}} \\ { \boxed{ \tt{LM = 17 \: units}}}[/tex]
Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run 777 kilometers per hour!" and Cameron says "I can run 100100100 meters per minute!
Answer:
Jeff is moving faster.
Step-by-step explanation:
To compare two speeds, first we make them in one unit.
We know that,
1 km/h = 0.2777 m/s
7 km/h = 1.94 m/s
Jeff can run at a speed of 7 km/h i.e. 1.94 m/s while Cameron can run with a speed of 10 m/min or 0.167 m/s.
On comparing 1.94 m/s and 0.167 m/s, we found that Jeff is moving with more speed.
So, Jeff is faster.