Answer:
The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.
Step-by-step explanation:
I believe this is correct, if not let me know and I will fix it. I'm sorry in advance if it is incorrect.
Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0
A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof
Step-by-step explanation:
A is correct option there are no real roots
because discriminant is less than zero
Last year, samantha spent $2,478 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?
Answer:
She will need to pay $206.50 per month.
Step-by-step explanation:
Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:
$2,478
---------------- = $206.50/month
12 months
She will need to pay $206.50 per month.
in a class 3/5 of the pupils are boys. If there are 24 girls,how many boys are there in the class ?
Answer:
36 boys
Step-by-step explanation:
let x be the number of pupils in the class , then
[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )
3x + 120 = 5x ( subtract 3x from both sides )
120 = 2x ( divide both sides by 2 )
60 = x
Then
number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36
Here are five number cards. 19 13 10 14 22 Two of the five cards are picked at random. Work out the probability that the total of the two numbers is more than 32 + Total marks: 3
Answer:
Here are five number cards.
19
13
10
14
22
Two of the five cards are picked at random.
Work out the probability that the total of the two numbers is more than 32
+
Total marks: 3
The probability that the total of the two numbers is more than 32 is 2/5.
What is Probability ?Probability is the study of likeliness of an event to happen.
The number cards given are 19 , 13 , 10 , 14 , 22
The Probability when two number cards are drawn then th sum is moire than 32 is ?
Probability = Favourable Outcomes / Total Outcomes
Total outcomes when total cards is 5 and no. of cards drawn is 2
= [tex]\rm ^5C_2[/tex]
= ( 5 * 4 * 3 * 2 * 1)/(( 3 * 2 )(2.1))
= 10 outcomes
Favourable Outcomes
= ( 19 , 14) (19,22) (13,22)(14,22)
= 4
Probability = 4/10 = 2/5
Therefore the probability that the total of the two numbers is more than 32 is 2/5.
To know more about Probability
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The sum of 20 and b is equal to 32.99
need help
Answer:
b is 12.99
Step-by-step explanation:
Find two numbers whose difference is 5 and sun of whose squares is 100.
(I believe this is the quadratic formula!)
I’m not sure how to go about it. If someone go go through it step by step, that’d be helpful. (Or even give me the values to put into the quadratic formula)
Answer:
I. x = 14.115 and y = 9.115
II. x = 0.885 and y = -4.115
Step-by-step explanation:
Let the two numbers be x and y respectively.Translating the word problem, we have;
x - y = 5 ......equation 1
x² + y² = 100 ...... equation 2
x = y + 5 ...... equation 3
Substituting eqn 3 into eqn 2, we have;
(y + 5)² + y² = 100
Simplifying further by opening the bracket, we have;
(y + 5)(y + 5) + y² = 100
y² + 5y + 5y + 25 + y² = 100
y² + 10y + 25 + y² = 100
2y² + 10y + 25 = 100
2y² + 10y + 25 - 100 = 0
2y² + 10y - 75 = 0
To find the roots of the quadratic equation, we would use the quadratic formula;
Note: the standard form of a quadratic equation is ax² + bx + c = 0
a = 2, b = 10 and c = -75
The quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the formula, we have;
[tex] y = \frac {-10 \; \pm \sqrt {10^{2} - 4*2*(-75)}}{2*2} [/tex]
[tex] y = \frac {-10 \pm \sqrt {100 - (-600)}}{4} [/tex]
[tex] y = \frac {10 \pm \sqrt {100 + 600}}{4} [/tex]
[tex] y = \frac {10 \pm \sqrt {700}}{4} [/tex]
[tex] y = \frac {10 \pm 26.46}{4} [/tex]
[tex] y_{1} = \frac {10 + 26.46}{4} [/tex]
[tex] y_{1} = \frac {36.46}{4} [/tex]
[tex] y_{1} = 9.115 [/tex]
Or
[tex] y_{2} = \frac {10 - 26.46}{4} [/tex]
[tex] y_{2} = \frac {-16.46}{4} [/tex]
[tex] y_{2} = -4.115 [/tex]
Next, we would find the value of x;
x = y + 5
When y = 9.115
x = 9.115 + 5
x = 14.115
When y = -4.115
x = -4.115 + 5
x = 0.885
Check:
x - y = 5
14.115 - 9.115 = 5
What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)
Answer:[tex]3^1^1\\[/tex]
Step-by-step explanation:
[tex]\frac{81^4}{3^5}[/tex]
[tex]\frac{3^1^6}{3^5}[/tex]
The base is same power can be add or subtract
[tex]3^1^6^-^5[/tex]
[tex]3^1^1[/tex]
What is the simplified value of the expression below?
3(8-4)+2x5.5
31
Оооо
47
Perímetro de un círculo de 2.5
Answer:
La circunferencia del círculo es igual a Pi π veces el diámetro d. Dado que el diámetro d es igual a 2 veces el radio r, la fórmula para la circunferencia que usa el radio es 2πr 2 π r.
Step-by-step explanation:
Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.
Step-by-step explanation:
The given equations are :
-x+6y = 16 ...(1)
8x-6y = -2 ...(2)
The y-variable will be eliminated when adding the system of equations.
Adding equations (1) and (2).
-x+6y+8x-6y = 16+(-2)
7x = 14
x = 2
Put the value of x in equation (1).
-2+6y = 16
6y = 16+2
y = 3
There is only one solution to the system of equations i.e. (2,3).
Find the value of (2x-1) -(y+3) when x=3 and y=1
Answer:
1
Step-by-step explanation:
(2*3-1)-(1+3)
(6-1)-4
5-4
1
If this helps you mark as brainlist
Answer:
putting the Given values in equation
(3*3-1)-(1+3)
=8-4
=4
What is the exact area of shaded region of the circle? Show all work.
Answer:
[tex]A=\frac{513\pi}{8}[/tex]
Step-by-step explanation:
1.Approach
To solve this problem, find the total area of the circle. Then multiply the total area by the fraction of the circle that is shaded.
2.Find the area of the circle
The formula to find the area of a circle is the following,
[tex]A=(\pi)(r^2)[/tex]
Where ([tex]r[/tex]) represents the radius of the circle, that is the distance from the center of the circle to the circumference of the circle (the outer edge). ([tex]\pi[/tex]) represents the numerical value (3.1415..).
Substitute the given values into the formula and solve for the area.
[tex]A=(\pi)(r^2)\\\\A=(\pi)(9^2)\\\\A=(\pi)(81)[/tex]
3.Find the percent of the circle that is shaded
There are a total of (360) degrees in a circle. It is given that (75) degrees are not shaded. To find the fraction of a circle that is shaded, subtract (75) form (360). Then put this value over (360) and simplify.
[tex]360 - 75 = 285[/tex]
Now put this number over (360) to find the fraction of the circle that is shaded.
[tex]\frac{285}{360}[/tex]
[tex]=\frac{19}{24}[/tex]
4.Find the area of the shaded region
Now multiply the total area by the fraction that the shaded region occupies.
[tex](81)(\pi)*(\frac{19}{24})\\\\=\frac{(81)(19)(\pi)}{24}\\\\=\frac{513(\pi)}{8}[/tex]
Without solving, determine the number of
solutions to 3x2 + 5x + 2 = -8. Show your work.
Answer:
2 solutions for this equation because the highest power is 2
Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A terms
B products
C variables
D coefficients
x+y-6=0, x-y=0. What is the solution set of the system?
A. (3,3)
B. (-3,3)
C. (3, -3)
Answer:
A. (3,3)
Step-by-step explanation:
which TWO numbers round to 3 as the nearest whole number?
A. 2.226
B. 2.562
C. 2.332
D. 2.351
E. 1.975
F. 2.864
, please
Solve for
20 = 5(x + 1)
X =
Answer:
x = 3
Step-by-step explanation:
5(x+1) = 20
x+1 = 20/5
or, x+1 = 4
or, x = 4-1
so, x = 3
small question will mark brainly “A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. how much is the total?? and please explain
Answer:
Volume of cube = 216
Dimesnions of cuboid = 4 * 6 * x
x = 216 / 24x
x = 9cm
Step-by-step explanation:
Hope this helps... pls vote as brainliest
Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15
Answer:
this is the answer
Step-by-step explanation:
20:15=20/15=4/3=n
Hence, 1:n=3:4
Can someone please help I need the answer ASAP
do you have a clearer picture please? I can help :))
(a) A Ship sails due north from point P to a point 0.4 km away. It then sails on a bearing
of 090° to a point R, 3 km from Q.
(1) Illustrate the information in a diagram.
Find the length PR
Answer:
write these time in words 3:45
The rectangle has length 4.5cm and width 2.8cm. Work out the area
Answer:
11/1//11/1
Step-by-step explanation:
At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which
expression represents how much she will receive in commission from the sale?
The picture is above I’ll mark as brainliest.
Answer:
area=l×b
24=6×b
or,24=6b
or, 24/6=b
or,4=b
therefore,b=4..
width =4
Answer:
4 in
Step-by-step explanation:
Let x be the width of the triangle
we know that the area of the rectangle above is the product of the length and the width
[tex]6 . x = 24\\[/tex]
divide both sides by 6
[tex]6x/6 = 24/6 \\\\x = 4[/tex]
the width is 4 inches
If David walks 1/2 mile in 1/4 hour, then how fast does David walk in one hour? (In other words, what is David's "unit rate"?)
factorise using suitable identities
x^2 (y+z)^2
Answer:
Step-by-step explanation:
[tex]x^2 ( y +z)^2 = x^2 (y+z)(y+z)[/tex] [tex][ \ (a+b)^2 = (a+b)(a+b) \ ][/tex]
[tex]x^2 - ( y +z)^2 = (x - ( y +z)) (x + (y+z))[/tex] [tex][ \ a^2 - b^2 = (a-b)(a+b) \ ][/tex]
[tex]=(x-y-z)(x+y+z)[/tex]
A farmer uses 1/3 of an acre of land to grow carrots.
The carrots are grown in
There are 15 rows of carrots.
What part of land does each row of carrots take up?
Answer:
the answer is 1/45
Step-by-step explanation:
just use the proportion method
Michelle invested $10,000 for one year, part at 8% interest and the rest at 12% annual interest. Her total interest for the year was $944. How much money did she invest at 12% interest?
Step by step please.
Answer:
Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.
Step-by-step explanation:
Given that Michelle invested $ 10,000 for one year, part at 8% interest and the rest at 12% annual interest, and her total interest for the year was $ 944, to determine how much money did she invest at 12% interest, the following calculation must be done:
10,000 x 0.08 + 0 x 0.12 = 800
8,000 x 0.08 + 2,000 x 0.12 = 880
4,500 x 0.08 + 5,500 x 0.12 = 1,020
6,000 x 0.08 + 4,000 x 0.12 = 960
6,500 x 0.08 + 3,500 x 0.12 = 940
6,400 x 0.08 + 3,600 x 0.12 = 944
Therefore, Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.
John has 50 missing assignments in his history and science class. He only has 15 days to turn everything in. How many assignments will John have to do everyday?
Answer:
3.3333 (repeating)
Step-by-step explanation:
He has 50 missing assignments and 15 days to do them.
So you do 50 missing assignments divided by 15 days, to see how many assignments a day he would have to do.
50 / 15 = 3.33 (repeating)
Answer:
3.333333333333333
Step-by-step explanation:
You will have to divide 15 by 50 to get the answer. That will give you 3.333333333333333 which is your answer.
Find the edge length
x^3= 125000 m^3
x=50 m
