Answer:
The Solution Set
Step-by-step explanation:
Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.
[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]
Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.
[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]
The output or possible values you could get as a result from an expression or equation is the solution set of the equation
Take for instance, we have the following equation
[tex]x^2 = 4[/tex]
When solved, the equation becomes
[tex]x = \pm 2[/tex]
This can be rewritten as:
[tex]x = \{-2,2\}[/tex]
This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]
Hence, the output or possible values are called solution set
Read more about equations at:
https://brainly.com/question/14323743
What is the surface area of the rectangular pyramid below?
A. 363 units2
B. 484 units2
C. 1026 units2
D. 242 units2
Answer:
Option (A). 363 units²
Step-by-step explanation:
Surface area of the rectangular pyramid = Area of the rectangular base + Area of the lateral sides of the pyramid
Area of the rectangular base = Length × Width
= 11 × 11
= 121 units²
Area of the lateral sides = 4(Area of one lateral side)
= 4[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]]
= 2(11)(11)
= 242 square units
Area of the rectangular pyramid = 121 + 242
= 363 square units
Therefore, Option (A) will be the answer.
Simplify this equation. 4m(2mn - 8m) +3n (5n-6mn)Please help me and show working as well
Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2
Step-by-step explanation:
4m x 2mn = 8m^2n
4m x -8m = -32m^2
3n x 5n = 15n^2
3n x -6mn = -18 mn^2
when you add them all together,
8m^2n - 32m^2 + 15n^2 - 18mn^2
Find the midpoint between the two points of the line in the image below.
Answer:
the answer is ( 2 , 1 ) I hope thus helps
Answer:
(2,1)
Step-by-step explanation:
Average the x values and the y values out
Work out 4 x (1+5-8)
Answer:
-8
Step-by-step explanation:
1+5=6
6-8=-2
4x-2=-8
Answer:
8
Step-by-step explanation:
if you want to work this out use the order of operationsparenthesis is first (1+5-8)we would first do 1 + 5 = 6then 6-8which the answer would make negative6 - 8 = -2then you would do a positive x negative4 x -2 = 8cause a positive x negative = positiveThe volume of a rectangular tank is 20 000 cm3 . Given that the length is 40 cm and width is 25 cm, find its height
[tex]answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps[/tex]
Answer:
[tex]20cm[/tex]
Step-by-step explanation:
[tex]volume = length \times width \times height \\ 20000= 40 \times 25 \times h \\ 2000 0= 1000h \\ \frac{20000}{1000} = \frac{1000h}{1000} \\ h = 20[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
if f(x)=1/2x-2 what is f(14)
Answer:
Hi there!
The correct answer is: 5
Step-by-step explanation:
Essentially they replace x with 14, so all you have to do is plug 14 into the equation. 14 multiplied by 1/2 is 7, because it's the same thing as 14 divided by 2. Then you minus 2 from 7, and you get 5.
Find the perimeter of a rectangle whose length is (4a+b)cm and width (a+6)cm
Answer:
P = 10a +2b+12
Step-by-step explanation:
P = 2 (l+w) for a rectangle
P = 2 ( 4a+b + a+6)
Combine like terms
P = 2(5a+b+6)
Distribute
P = 10a +2b+12
Answer:
Given below
Hope it helps
Step-by-step explanation:
Perimeter= 2(l+b)
= 2(4a+b+a+6)
= 2(5a+b+6)
= 10a+2b+12 cm^2
Using this figure A’ is the______Of A.
Answer:
Reflection
Step-by-step explanation:
Figure A' is the reflection of A as it is reflected from A'
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
the point slope form of the equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line
Answer:
y= 1/2x + 2.5
Step-by-step explanation:
We already have the point-slope form of the line.
Convert into Slope Intercept form:
y-3=1/2(x-1)
[tex]y-3=\frac{1}{2}x -0.5\leftarrow \text {Distribute}\\y-3+3=\frac{1}{2}x-0.5+3\leftarrow \text {Subtraction Property of Equality} \\\boxed{y=\frac{1}{2}x+2.5} \text { OR } \boxed{y=\frac{1}{2}x+\frac{5}{2}}[/tex]
5000 people visit a website. 95% stay more than 2 minutes how many people visiting the website stay for more than 2 minutes
Answer:
4750
Step-by-step explanation:
Take 95, move the decimal. 0.95
then multiply 5000 by 0.95
CORRECT AND CLEAR ANSWER WILL BE GIVEN BRAINLIEST An object of mass 0.30 kg is thrown vertically upwards and reaches a height of 8.0 m. Calculate: (a) it's final potential energy (b) The velocity with which it must be thrown, neglecting air resistance ( assuming g = 10m/s²)
Answer:
Final potential energy = 24 Joule
The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s
Step-by-step explanation:
Given:
Mass of object, m = 0.30 Kg
Height of object, h = 8 m
Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]
a) Formula for Potential Energy:
[tex]E_p =mgh[/tex]
Where m is the mass of object
g is acceleration due to gravity and
h is the height of object
Putting the values of m, g and h
[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]
b) Formula for initial and final velocity:
[tex]v^{2} =u^{2} +2gh[/tex]
where v is the final velocity
u is the initial velocity with which the object is thrown
g is acceleration due to gravity and
h is the height obtained by object
here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.
h = 8m
g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)
Putting the values to find 'u':
[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]
Florence Tyler invests $5000 in a 1-year CD that earns interest at an annual rate of 4% compounded monthly. The amount per $1.00 is 1.040742. What is the interest earned?
Answer:
$203.71
Step-by-step explanation:
Given;
Principal = $5,000
The amount per $1.00 is given as 1.040742
The total amount earned is equal to the product of the principal and the amount per dollar.
A = Principal × amount per dollar
Substituting the values;
A = $5000 × 1.040742
A = $5203.71
Interest earned = Total amount earned - principal
Interest earned = $5203.71 - $5000
Interest earned = $203.71
10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point
dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*
Answer:
The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cone-shaped mound is 100 feet
Height of a cone-shaped mound is 60 feet
It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
r is radius of cone, r = 50 feet
So,
[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]
So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Someone help me with this like right now like right now
Answer:
C
Step-by-step explanation:
M = K
N = L
M + K + N + L = 360
Answer:
C
Step-by-step explanation:
In Need OF HELP !!!!!!!!
16+12x-5x+4y-7 Simply the expression
Answer:
Combing like terms we get 7x + 4y + 9.
Which equation represents circle C?
Answer:
The equation of the circle is
(x + 4)^2 + (y-1)^2 = 162
Step-by-step explanation:
Here, we want to give the correct equation of the circle.
The center of the circle is (-4,1)
Now the other parameter we need to show the equation of the circle is the radius of the circle and this can be obtained from the distance between the circle center and a point on the circumference.
We use the distance formula to calculate this.
So the distance we want to calculate is the distance between;
(-4,1) and (5,-8)
using the distance formula, we have
d = √(x2-x1)^2 + (y2-y1)^2
Substituting these values, we have;
d = √(5 + 4)^2 + (-8-1)^2
d = √(9^2 + 9^2)
d = √(162)
d = 9 √2 units
The formula for the equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where (h,k) are coordinates of the center which is (-4,1) in this question
The way of the circle is thus,
(x-(-4)^2 + (y-1)^2 = {9√(2)}^2
(x + 4)^2 + (y-1)^2 = 162
find the vertical asymptote. y = x - 1 / x + 4
Answer:
x = - 4
Step-by-step explanation:
Given
y = [tex]\frac{x-1}{x+4}[/tex]
The denominator of y cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 4 = 0 ⇒ x = - 4
Thus the vertical asymptote is x = - 4
Hhh I’m very bad at math
Answer:
See below;
Step-by-step explanation:
21 . Consider an exponential function;
[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]
Solution; Provided Directly Above
Using the slope and the yintercept, graph the line represented by the following equation. Then select the correct graph. 2y+4=0
How many real solutions does the equation 8x^2 − 10x + 15 = 0 have?
Answer:
It has no real solutions.
Step-by-step explanation
Once you calculate the discriminant, D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.
Answer:
No solutions
Step-by-step explanation:
Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.
Use b^2 - 4ac to find the discriminant.
-10^2 - 4(8)(15) = -580
If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0
Therefore, there are no real solutions
Hi there I need help with this please
Answer:
4(x-6)=45
Step-by-step explanation:
x is the number
so a number decreased by six
x-6
all multiplied by 4
4(x-6)
is 45
4(x-6)=45
Ms. Lawrence baked exactly 1 inch diameter cookies as shown below, how
much space left on cookie tray, if the tray's dimensions are 7 inches by 3
inches?
Answer:
Exactly 26 cookies fit and there would be 0.75 of cookie space left over.
Step-by-step explanation:
In this case, we must calculate the area of a cookie and the total area of the cookie tray,
give us the diameter of the cookie, we need the radius, we know that the radius is half the diameter, so:
r = d / 2 = 1/2
the area would be:
A = pi * r ^ 2
replacing:
A = 3.14 * (1/2) ^ 2
A = 0.785
The area for each cookie is 0.785 in ^ 2
Now the area of the cookie tray would be:
A = 7 * 3
A = 21 in ^ 2
Therefore a total of:
21 / 0.785 = 26.75
Which means that exactly 26 cookies fit and there would be 0.75 of cookie space left over.
Vx
Below is a scale drawing of a stage that Syla is designing,
8 cm
5 cm
Using the scale 1 cm: 7 m, Syla calculated the width, or the shorter side of the stage, to be 35 m. She decides to change the
scale to 1 cm 10 m. What is the width of the new stage?
35 m
50 m
56 m
80 m
Save and Exit
Next
Submit
Mark this and return
PA-Common Core...
Answer:
I beleive the new stage would be 50 meters wide
Step-by-step explanation:
I took the quiz on ed
Answer fast!!
The diagram represents three statements about teachers: p, q, and r.
For how many teachers are both p ∧ r true and q false?
2
4
5
9
Answer: 5
Step-by-step explanation:
For how many teachers are both p ∧ r true and q false?
(p ∧ r) ∧ (q')
q' = q complement (not in q)
p intersection r = (p ∧ r) = 9
both p ∧ r true and q false = (8+6) - 9
both p ∧ r true and q false = 14 - 9 = 5
OR
p + r - p ∧ r
8 + 6 - 9 = 14 - 9 = 5
Answer:
The answer is C (5) on Edge.
Step-by-step explanation:
Q: 3
^Ignore above^
Just help me again please
Answer:
d. 192 m^2
Step-by-step explanation:
just multiply length and width
if cos =5\13 and 90°≤ø≤180,evaluate cotø,secø,cosø
Answer: [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]
Step-by-step explanation:
90° ≤ θ ≤ 180° means that it is in Quadrant II → x is + , y is -
[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]
The graph shows the relationship between daily caffeine
consumption and resting heart rate for some adults.
Which phrases describe the relationship between heart
rate and daily intake of caffeine? Select two options.
Effects of Caffeine
negative correlation
180
increasing heart rate
constant correlation
Resting Heart Rate (bpm
positive correlation
decreasing heart rate
1 2 3 4 5 6 7 8 9 10
Total Coffee Intake (Cups)
Answer:
A and B. increasing heart rate and positive correlation
Step-by-step explanation:
The heart rate increases as they drink more cups of coffee and because the both sets of data are increasing in the same direction, it's positive correlation.
Hope my answer helps and isn't too short <3
Answer: B AND D
Step-by-step explanation:
Hey if you could help me with this it'd mean a lot I can't figure it out
L+S=17
3L+2S=46
What is S and what is L?
Answer:
L = 12 S = 5
Step-by-step explanation:
L+S=17
3L+2S=46
Multiply the first equation by -2
-2L -2S = -34
Then add it to the second equation
-2L -2S = -34
3L+2S=46
------------------
L = 12
Now we can find S
L+S = 17
12 + S = 17
Subtract 12 from each side
S = 17-12
S = 5
