Answer:
x = 2 + √ 42 , 2 − √ 42
Decimal Form:
x = 8.48074069 , − 4.48074069
Step-by-step explanation:
Solve the equation for x by finding a , b , and c of the quadratic then applying the quadratic formula.
How do I find the surface area?
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
When the pennies are put in groups of 2 there is one penny left over. When they are put in groups of three, five, and six there is also one penny left over. But when they are put in groups of seven there are no pennies left over. How many pennies could there be?
Answer: 7
you cant put seven in groups of 2 , 3 , 5 ,or 6 so theres 7 pennies
What is the vertex of the function?
Consider the quadratic function
f(x) = x2 - 8x -9
Vertex (
Answer:
(4,-25)
Step-by-step explanation:
I graphed this on the desmos graphing calculator.
The functions f(x) and g(x) are described using the following equation and table:
f(x) = 3(1.02)x
_______
x g(x)
−1 −4
0 6
1 8
2 10
_______
Which statement best compares the y-intercepts of f(x) and g(x)?
A: The y-intercept of f(x) is equal to the y-intercept of g(x).
B: The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
C: The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
D: The y-intercept of g(x) is equal to 2 plus y-intercept of f(x).
Answer: D) The y-intercept of g(x) is equal to 2 times the y-intercept of f(x)
Answer:
D
Step-by-step explanation:
Have a good day! :D
When you play with dice in a board game, they are in the shape of what?
Faces/ Sides Shape
6 Cube
8 Octahedron
10 Pentagonal trapezohedron
12 Dodecahedron
Answer:
They are in the shape of a cube
Step-by-step explanation:
how does 10 to the power of -3 compare to 2 to the power of -3
Answer:
10^-3 is 1/1000 and 2^-3 is 1/16
Step-by-step explanation
Answer:
I think the correct answer is 10^-3 1/1000 and 2^-3 is 1/16
Step-by-step explanation:
-edit: The other user copied my answer! ^_^
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B is 95% salt. She wants to obtain 50 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
Answer:
30 ounces of solution A
20 ounces of solution B
Step-by-step explanation:
x ounces of solution A
y ounces of solution B
x + y = 50
0.7x ounces of salt in the solution A
0.95y ounces of salt in the solution B
0.8*50 = 40 ounces of salt in 50 ounces of 80% solution
0.7x + 0.95y = 40
x + y = 50
0.7x + 0.95y = 40
x= 50 - y
0.7(50 - y) + 0.95y = 40
35 - 0.7y + 0.95y = 40
0.25y = 5
y = 20 ounces of solution B
x = 50 - y = 50 - 20 = 30 ounces of solution A
Write the equation of the graph which is the reflection of y=−|x−1|−1 about the origin
Answer:
f(x) = |x + 1| + 1
Step-by-step explanation:
A reflection over the y-axis followed by a reflection over x-axis is equivalent to a reflection about origin.
f(x) = -|x-1| -1
reflection over the x-axis:
-f(x) = (-1)*(-|x-1| -1) = |x-1| +1
reflection over the y-axis of the previous function:
-f(-x) = |-x-1| +1 = |x + 1| + 1
which is the reflection of f(x) about the origin
The dimensions of a right rectangular prism are 2 m, 2.5 m, and 4.5 m.
What is the volume of the prism? Enter the answer in the box.
Answer:
volume= length ×width×height
2×2.5×4.5
22.5
The volume of a right rectangular prism with sides 2 m , 2.5 m and 4.5 m will be 22.5 m³.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
All the sides of a rectangle are;
2 m , 2.5 m and 4.5 m
Now,
Since, we know that;
Volume of rectangle = Length x Width x Height
Substitute all the values we get;
Volume of right rectangular prism = 2 x 2.5 x 4.5
= 22.5 m³
Thus, The volume of a right rectangular prism with sides 2 m , 2.5 m and 4.5 m will be 22.5 m³.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ2
The taco truck sells tacos for $3 and burritos for $4 . The number of items sold on a Tuesday is 125 with a total income of $425. How many tacos were sold?
Answer: 75 tacos
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
3 T + 4 B =425
T + B = 125
Where T is the number of tacos sold, and B is the number of burritos sold.
Multiplying the second equation by 3, and subtracting it to the first equation:
3 T + 4 B =425
3T + 3B = 375
___________
B =50
Replacing B in any equation:
T + B = 125
T +50 =125
T =125-50
T = 75
Feel free to ask for more if needed or if you did not understand something.
3/12 - 1/3 =
Please answer
Answer:
-0.0833
Step-by-step explanation:
1. A filing cabinet measures 5
feet high by 18 inches wide by
2 feet deep. What is the
volume of the filing cabinet?
Answer:
180 in^3
Step-by-step explanation:
5•18=90in^2
90•2=180in^3
PLEASE HURRY IM IN A RUSH!!!!!!! 100 POINTS!
Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Answer:
x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Step-by-step explanation:
Answer:
g(x) = |x – 1| + 3
Step-by-step explanation:
Definitely right!
To rationalize the denominator of StartFraction 2 StartRoot 10 EndRoot Over 3 StartRoot 11 EndRoot EndFraction, you should multiply the expression by which fraction? StartFraction StartRoot 10 EndRoot Over StartRoot 10 EndRoot EndFraction StartFraction StartRoot 11 EndRoot Over StartRoot 11 EndRoot EndFraction StartFraction 2 minus StartRoot 10 EndRoot Over 2 minus StartRoot 10 EndRoot EndFraction StartFraction 3 minus StartRoot 11 EndRoot Over 3 minus StartRoot 11 EndRoot EndFraction
Step-by-step explanation:
bbbbbbbbbbbbbbb,bbbbbb
To rationalize the denominator of [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex] you should multiply the expression by [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]
Given the surd function:
[tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex]Rationalizing surd functions means multiplying the numerator and denominator of such function by the conjugate of the denominator.For the surd function given, to rationalize it, we only need to multiply the numerator and denominator by √11 as shown:
[tex]=\frac{2\sqrt{10} }{3\sqrt{11} }\times \frac{\sqrt{11} }{\sqrt{11} } \\=\frac{2\sqrt{110}}{3(11)}\\= \frac{2\sqrt{110}}{33}\\[/tex]
Hence we can conclude that to rationalize the denominator of [tex]\frac{2\sqrt{10} }{3\sqrt{11} }[/tex] you should multiply the expression by [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex]
Learn more about surd functions here: https://brainly.com/question/24380382
is this relation a function?
Answer:no
Step-by-step explanation:
A function must have each x value map onto 1 y value. The x value 11 maps to two y values (1,3)
what is 2 times 8/10???
So the right answer is 8/5
Look at the attached picture
Hope it will help you
Good luck on your assignment
Think of the 2 in this problem as 2/1.
So we have 2/1 × 8/10.
Now we can cross-cancel the 2 and 10 to 1 and 5.
So we have 1/1 × 8/5 which is 8/5.
help! will mark brainliest:)
Answer:
x<-1 and x>2
Step-by-step explanation:
The domain is the values that input can b, in this case x
X can be less than -1
x< -1
X can be greater than 2
x>2
x<-1 and x>2
please help me with steps
Answer:
x = (3 − √5) / 2, (3 + √5) / 2, and 1
Step-by-step explanation:
Using rational root theorem, ±1 are possible roots. By trial and error, we find that +1 is a root. Therefore, x − 1 is a factor. Knowing this, we can use grouping or long division. Using grouping:
x⁴ − 5x³ + 8x² − 5x + 1 = 0
x⁴ − 5x³ + 4x² + 4x² − 5x + 1 = 0
x² (x² − 5x + 4) + 4x² − 5x + 1 = 0
x² (x − 4) (x − 1) + (4x − 1) (x − 1) = 0
(x² (x − 4) + 4x − 1) (x − 1) = 0
(x³ − 4x² + 4x − 1) (x − 1) = 0
Repeating the process, possible rational roots of x³ − 4x² + 4x − 1 are ±1. We already know -1 isn't a root. By trial and error, we find that +1 is again a root. Using grouping to factor:
(x³ − 4x² + 3x + x − 1) (x − 1) = 0
(x (x² − 4x + 3) + x − 1) (x − 1) = 0
(x (x − 3) (x − 1) + x − 1) (x − 1) = 0
(x (x − 3) + 1) (x − 1) (x − 1) = 0
(x² − 3x + 1) (x − 1)² = 0
To find the roots of x² − 3x + 1, we use the quadratic formula.
x = [ -(-3) ± √((-3)² − 4(1)(1)) ] / 2(1)
x = [ 3 ± √(9 − 4) ] / 2
x = (3 ± √5) / 2
So the roots are x = (3 − √5) / 2, (3 + √5) / 2, and 1.
Adam is going to make concrete
He is going to use
180 kg of cement
375 kg of sand
1090 kg of stone
Cement, sand and stone are sold in bags
1 bag cement 1 bag sand 1 bag stone
25kg 22.5kg 50kg
Adam already has
8 bags of cement
19 bags of sand
20 bags of stone
Work out what bags he needs to buy to make the concrete
Working must be shown
Answer:
90 kg of stone
Step-by-step explanation:
Adam has 8 x 25 = 200
19 x 22.5 = 427.5
20 x 50 = 1000
He has enough cement and sand
He needs 1090 - 1000 = 90 kg of stone
He needs 2 bags of stone
need help asap !! i’ll mark brainly
Answer:
a) a quadrilateral that is not a parallelogram because adding the same will make it a diamond like shape which 2 sides are parallel
Step-by-step explanation:
PLZ MARK ME BRAINLIEST!
PLEASE ANSWER THIS QUESTION CORRECTLY AND ILL MARK YOU AS THE BRAINLIEST
Answer:
4. (x+3)^2 =16
Step-by-step explanation:
Rewrite x^2 +6x -7 = 0 in quadratic form by compliting the square
x^2 +6x = 7 divide 6 by 2 ans square so 6/2 = 3, [tex]3^{2} = 9[/tex] add 9 on each side
x^2 +6x +9 = 7+9 =16 remember that [tex](a + b)^{2} = a^{2} +2ab + b^{2}[/tex]
[tex](x +3)^{2} = 16[/tex]
use this site if it helps for your question desmos.com
Could I please have some help? Thanks
Answer:
D
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 1 [tex]\frac{1}{2}[/tex] -(- [tex]\frac{1}{2}[/tex] ) = - 1
d = - 2 [tex]\frac{1}{2}[/tex] - (- 1 [tex]\frac{1}{2}[/tex] ) = - 1
d = - 3 [tex]\frac{1}{2}[/tex] - (- 2 [tex]\frac{1}{2}[/tex] ) = - 1
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - [tex]\frac{1}{2}[/tex] and d = - 1 , thus
[tex]a_{n}[/tex] = - [tex]\frac{1}{2}[/tex] - 1 (n - 1) = - [tex]\frac{1}{2}[/tex] - n + 1 = [tex]\frac{1}{2}[/tex] - n , where n = 1, 2, 3, 4, ......
The formula for volume of a rectangular prism is V =
lwh.
The length of the prism is
_in.
The width of the prism is
_in.
The height of the prism is
_in.
The volume of the prism is
_in. 3
[tex]volume = lwh \\ = 15 \times 4 \times 5 \\ = 300 {in}^{3} [/tex]
hope this helps
brainliest appreciated
Good luck! have a nice day!
Answer:
The length of the prism is
✔ 15
in.
The width of the prism is
✔ 4
in.
The height of the prism is
✔ 5
in.
The volume of the prism is
✔ 300
in.3.
Step-by-step explanation:
On EDG assignment
Solve the given equation for x. 8−65x=10
Answer:
Exact form is [tex]x=-\frac{2}{65}[/tex]
And the decimal form is x = −0.0307692
Answer:
The value of x is -2/65
Step-by-step explanation:
The given equation is
8 - 65x = 10
We are asked to find the value of x.
Step 1: Subtract 8 from both sides
-8 + 8 - 65x = 10 - 8
-65x = 2
Step 2: Divide both sides by -65
-65x/-65 = 2/-65
x = -2/65
Therefore, the value of x is -2/65
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of .
aft
Answer:
288π
That is exact value in terms of pi.
Step-by-step explanation:
So if the diameter is 12, the radius is 6.
The volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]
Since r = 6, the volume is [tex]\frac{4}{3} * 216\pi[/tex]
Which is 288π
Answer:
904.78 is the answer
volume = 4/3 π r cubed
If in a crowd, each person takes about 2.5 ft2 to stand comfortably, estimate the size of a crowd that is 10 feet deep on both sides of a street for a mile and is filled with people.
Hi!
I'm Happy to help you today!
The answer would be B. or 42,240!
The reason is because if you do the math and all that it gives you the answer of 42,240 or B. !
-LimitedLegxnd
-If you like my answer make sure to hit that Heart! Also to show others how helpful my answer is click the stars!
-Question asker if you really liked my answer mark mine brainliest!
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me
Answer:
oh text me for more information
Step-by-step explanation:
Which of these chess pieces starts on squares a1 and h1, and a8 and h8?
Answer: Each player has two rooks (formerly also known as castles), which begin the game on the corner squares a1 and h1 for White, a8 and h8 for Black.
Step-by-step explanation: Mark me as brainliest
When Joe’s loses a golf ball he takes another from the box which graph models this relationship
Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.
Answer:
1 to 3 and V= 1/2 Bh
Step-by-step explanation:
the pyramid is like a triangle there is three sides. There is only one way of the whole pyramid you can cut.