math i will give a lot of points

−5 1/2 −2 1/3

Answers

Answer 1

Answer:

-7 1/6

Step-by-step explanation:

Subtract the whole numbers first.

-5-2 = -7

Now the fractions:

1/2 and 1/3

We need to find a common denominator. It's 6.

So,

for 1/2 multiply the numerator and denominator both by 3. You get 3/6.

Now 1/3:

Multiply 1 and 3 with 2. you get 2/6.

Subtract:

3/6-2/6=

1/6

Putting whole number and fraction togethr: -7 1/6


Related Questions

A rental car company charges $63.41 per day to rent a car and $0.05 for every mile driven. Ella wants to rent a car, knowing that: She plans to drive 275 miles. She has at most $200 to spend. What is the maximum number of days that Ella can rent the car while staying within her budget?

Answers

Answer:

2 days

Step-by-step explanation:

275 miles times 0.05 = $13.75 for mileage

200-13.75=186.25 left

186.25/63.41(daily fee)= 2.93

She can rent it for 2 days

Pippa has a box containing n pens.
there are only black pens and red pens in the box.
the number of black pens in the box is 3 more than the number of red pens.
pippa is going to take at random 2 pens from the box.
the probability that she will take a black pen followed by a red pen is
9
35
find the possible values of n.
show clear algebraic working.

Answers

The possible values of N from the given probability parameters is; N equals 15 or 21

How to Solve Algebra Problems?

We are told that;

Number of pens in the box = N

Let the number of red pens be x

Thus; number of black pens = x + 3

Thus;

x + x + 3 = N

x = (N - 3)/2

The probability that she will take a black pen followed by a red pen is;

P(she will take a black pen followed by a red pen) = (x + 3)/N * x/(N - 1)

Plugging in he relevant values and solving for N gives ;

Solving for N gives N equals 15 or 21

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For the function f(x) and g(x) given in the graph. Find f(g(2))

Answers

Answer:

f(g(2)) = 4

Step-by-step explanation:

find g(2) then substitute the value obtained into f(x)

locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )

locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )

then f(g(2)) = 4

(3+13-10)+14÷2+4 how do you solve this ?

Answers

Answer: 17

Step-by-step explanation:

Don't forget about PEMDAS. (parentheses, exponents, multiplication, division, addition, subtraction)

Start with parentheses

(3+13-10)... 13+3= 16, 16-10=6 ...

so (3+13-10)=6

Now we have...

6 + 14 / 2 + 4

No exponents so we go on.

no multiplication so we go on

Now division...

14 / 2 = 7 because 7 x 2 = 14

Now we have...

6 + 7 + 4

now we do addition, addition is commutative so you can add it in any order you want

6 + 7 = 13, 13 + 4 = 17

therefore, the answer is 17

55 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!!!! PLS HELP ASAP!!!!!


Danielle is trying to solve the equation [tex]8^x=\frac{1}{64}[/tex]. Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.

Answers

Answer:

x=-2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

A cylinder has a diameter of 10 inches in the height four times the radius what is the volume

Answers

Answer:

500π in^3

Step-by-step explanation:

The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.

The equation for the volume of a cylinder is:

[tex]V = \pi r^{2}h[/tex]

We can plug in the radius and height:

[tex]V = \pi \times (5)^{2} \times 20\\V = \pi \times 25 \times 20\\V = 500\pi in^{3}[/tex]

A baseball field is a square with sides of length 90 feet. What is the
shortest distance between first base and third base?
A.90
B.180 squared
C.90
D.16200 squared

Answers

I think the answer is B I’m not sure if A.C are supposed to be the same.

I NEED HELP LIKE ASAP
50 points!!
5. The table shows the number of stories in eight
buildings. Which statement is true?
Table:
15 15 18 20 22 24 26 40
a. The mode is greater than the mean.
b. There are no outiers.
c. The mode best describes the data.
d. The meon is greater than the median

Answers

The answer is D because my dad said so and my dad knows everything

Can anyone please help me with this I been working on this for hours

Answers

Area of full circle= 3.14x11^2
= 379.94in^2
Area of quarter circle= 379.94/4
= 94.985in^2
379.94-94.985=284.955in^2

a is a common factor of 72 and 108
b is common multiple of 4 and 10
work out the highest possible value of a/b

Answers

Answer:

the value is 14

Step-by-step explanation:

because im just trying to get points

A giant pie is created in an attempt to break a world record for baking. The pie is shown below: What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
78.13 ft
82.43 ft
86.31 ft
91.98 ft

Answers

if the "d"iameter of the pie is 30, then its radius must be half that, or 15.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =42 \end{cases}\implies \begin{array}{llll} A=\cfrac{(42)\pi (15)^2}{360}\implies A=\cfrac{105\pi }{4} \\\\\\ \stackrel{using~\pi =3.14}{A\approx 82.43} \end{array}[/tex]

My age this year is a multiple of 7. Next year it will be a multiple of 5. I am more than 20 years of age but less than 80. How old will I be 6 years from now?

Answers

Answer:

You will be 55

Step-by-step explanation:

Chelsea wants to rearrange her room. She makes a scale drawing of the room and cuts out pieces of paper to represent her furniture. The paper representing her desk is 1 1/4 inches by 2 1/4 inches. What are the actual dimensions of her desk?

A: 1 3/4 feet by 3 feet
B: 2 1/2 feet by 5 feet
C: 2 1/4 feet by 4 1/4 feet
D: 2 1/2 feet by 4 1/2 feet

Answers

Since the paper representing her desk is 1 1/4 inches by 2 1/4 inches, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft

To answer the question, we need to know what scale is

What is a scale?

A scale is the ratio of two dimension and it is given on a scale drawing.

Given that Chelsea makes a scale drawing of the room and cuts out pieces of paper to represent her furniture, and the paper representing her desk is 1 1/4 inches by 2 1/4 inches.

Since on the scale, we have 1/2 in = 1 foot ⇒ 1 in = 2 ft

Actual dimensions of desk

So, the actual dimensions of her desk are

1 ¹/₄ in by 2 ¹/₄ in = 5/4 in by 9/4 in

= 5/4 × 1 in by 9/4 × 1 in

= 5/4 × 2 ft by 9/4 × 2 ft

= 5/2 ft by 9/2 ft

= 2 ¹/₂ ft by 4 ¹/₂ ft

So, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft

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Emily is trying to rewrite 45 - 27 as the product of the GCF of the two numbers and
a difference. Will this work? Explain.

Answers

No, it won’t work. The greatest common factor between 45 and 27 is 9, but 45-27=18. So it cannot work.

What is the area of an isosceles right triangle whose hypotenuse is 5 √2 m long?

Answers

Answer:

Sides other than hypotenuse of an isosceles triangle are equal.

Let the other two sides be x each.

Using pythagoras theorem

x

2

+x

2

=(5

2

)

2

2x

2

=50

⇒x

2

=25

⇒x=5cm

So the other two sides are 5cm each.

scientist wants to estimate the puffin population on puffin island

Answers

Answer:

The cliffs are home to many seabirds. Despite its name, there are few puffins (around 50 pairs during the April-July breeding season).

Step-by-step explanation:

James defines a circle as the set of all the points equidistant from a given point. His statement is not precise enough because he should specify that.

Answers

A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:

Center

Radius

Diameter

Points in a plane

The complete question is as follows:-

James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough

because he should specify that

A circle includes its diameter

The set of points is in a plane

A circle includes its radius

The set of points is collinear

What is a circle?

A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.

Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).

As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:

the set of points on a line

the set of points in a plane

the set of points in a region

Etc

Of these numerous possible interpretations, James should have specified that the set of points is in a plane

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OP=
04
06
08

Helppppppppppppp

Answers

Answer:

the answer is 6 just add the radius of both circle

Answer:

OP is 6

Step-by-step explanation:

Because we av being given d parameters

4 is d radius of the first circle and 2 is d radius of the second circle so automatically d answer is 6

Write an equation of the parabola in vertex form that passes through ( 3 , -2 ) and has a vertex of ( 5,8 )

Answers

Answer:

Parabola in vertex form: y = a(x - h)2 + k

Vertex: (h, k) = (3, 2) and (x, y) = (13, 8)

y = a(x - h)2 + k

y = a(x - 3)2 + 2 <== with substitution (h, k) = (3, 2)

8 = a(13 - 3)2 + 2 <== with substitution (x, y) = (13, 8)

8 = a(10)2 + 2

100a = 8 - 2 ==> 100a = 6 ==> a = 6/100 ==> a = 3/50

Parabola in vertex form: y = a(x - h)2 + k

y = (3/50)(x - 3)2 + 2  (Final Answer - Parabola in vertex form)

Step-by-step explanation:

Answer:

Hi,

Step-by-step explanation:

Parabola has the equation:

y=k*(x-5)²+8

if x=3, y=-2: -2=k*(-2)²+8 ==> 4k=-10==> k=-5/2

So y=-5/2(x-5)²+8

Distribute and simplify these radicals.
√12-(-1+√5)
O-4√3
0-2√3+2√15
O 4√3
06√3
K

Answers

[tex] \sqrt{12} + 1 - \sqrt{5} \\ = \sqrt{4} \times \sqrt{3} + 1 - \sqrt{5} \\ = 2 \sqrt{3} + 1 - \sqrt{5} [/tex]

The answer is 2 radical 3+1- radical 5

A student looked at the diagram below and concluded x=y.

The student justified that conclusion by saying that both angles are subtended by arc AB.

What is the students error?

What are the values of X and y?

Answers

Answer:

[tex]y = 85[/tex]

[tex]x = 95[/tex]

1 pound is equivalent to ____ grams.

Answers

Answer: 453.592 grams

Step-by-step explanation:

I searched it up online. But if you're going to use this to calculate. Use 454 grams.

Answer:

453.592 rounded would be 454* grams witch is equal to 1 pound

Step-by-step explanation:

1 pound is equivalent to __453.592 or just say 454*__ grams.

Had to fix that hehehe

Hope This Helped

Latoya bought 8 pounds of potatoes at a local wholesaler for $18. Her friend Herman bought 6 pounds of potatoes at the supermarket for $15. Herman thinks he got the better deal because $15 is less than $18.

Answers

Answer:

Herman is wrong.  Latoya got the better deal.

Step-by-step explanation:

Latoya bought 8 pounds of potatoes for $18.

    ► 18 / 8 = $2.25 per pound

Herman bought 6 pounds of potatoes for $15.

    ► 15 / 6 = $2.50 per pound

Cheaper per pound is better!

The functions f and g are defined as follows.
f(x)=2x²-3x
g(x) = -4x-1
Find f(-2) and g (7).
Simplify your answers as much as possible.
f(-2) =

X
9 (7) =
Ś ?

Answers

Answer:

f(-2) = -14g(7) = -29

Step-by-step explanation:

~1

Given Polynomial:

f(x)=2x²-3x

To Find:

f(-2)

Solution:

f(x)=2x²-3x

Substitute x = -2 onto the given polynomial,as we need to find f(-2),so x = -2.

f(6) = 2(-2)² -3(-2)

Simplify using PEMDAS,then.

f(6) = -8 - 6f(6) = -14

Hence, f(6) = -14

[tex] \rule{225pt}{2pt}[/tex]

~2

Given polynomial:

g(x) = -4x-1

To Find:

g(7)

Solution:

g(x) = -4x-1

Substitute x = 7 onto the given polynomial,as we need to find g(7),so x = 7.

g(7)= -4(7) - 1

Simplify using PEMDAS.

g(7) = -28 - 1g(7) = -29

Hence, g(7) = -29.

[tex] \rule{225pt}{2pt}[/tex]

Find the 50th term of the sequence: 65536,49152,36846,27648

Answers

Step-by-step explanation:

first you should check whether the sequence is arithmetic and geometric .as you see the sequence is arithmetic with the common difference of -16384.

Calculate the Theoretical probability of the following experiments.

Use a tree diagram to visualize your calculations. *** Note that these are independent experiments. Once she has removed a fruit, she will put it back in before removing a second fruit.***

Jane has a bag with 5 oranges, 4 grapefruits, and 3 apples.

What is the probability that she will NOT randomly take out two oranges in a row?

What is the probability that she will NOT randomly take out two grapefruits in a row?

What is the probability that she will NOT randomly take out two apples in a row?

What is the probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order?

Answers

The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

A.) The probability that she will NOT randomly take out two oranges in a row,

Probability = 1 - (5/12)² = 0.8264

B.) The probability that she will NOT randomly take out two grapefruits in a row,

Probability = 1 - (4/12)² = 0.8264 = 0.8889

C.) The probability that she will NOT randomly take out two apples in a row,

Probability = 1 - (3/12)² = 0.8264 = 0.9375

D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,

Probability = (7/12) × (9/12) × (8/12) = 0.2917

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What is the value of the expression when n = 3?
6 (n² + 2)
n
O 16
O22
O 30
O 66

Answers

Answer:

66

Step-by-step explanation:

6(n² + 2)

6(3² + 2)

6(9 + 2)

6(11)

66

y=4(3)^x complete a table showing y values for values of x from 0 to 5

Answers

To solve this problem, we just have to substitute the values into the exponential equations and solve.

Exponential Equation

In the given exponential equation, we simply need to plug in the values of x from 0 to 5

[tex]y = 4(3)^x[/tex]

when x = 0

[tex]y = 4(3)^x\\y = 4(3)^0\\y = 4[/tex]

when x = 1

[tex]y = 4(3)^x\\y = 4(3)^1\\y = 12\\[/tex]

when x = 2

[tex]y = 4(3)^2\\y = 36[/tex]

when x = 3

[tex]y = 4(3)^3\\y = 108[/tex]

when x = 4

[tex]y = 4(3)^4\\y = 324[/tex]

when x = 5

[tex]y = 4(3)^5\\y = 972[/tex]

From the calculations above, the value of y when x is from 0 to 5 are

x(0) = 4x(1) = 12x(2) = 36x(3) = 108x(4) = 324x(5) = 972

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Rhombus RSTU is congruent to rhombus
WXYZ. Could rhombus RSTU be a
translation image of rhombus WXYZ?
Why or why not? Can you be sure that
rhombus RSTU is a translation image of
rhombus WXYZ? Why or why not?

Answers

Rhombus RSTU is congruent to WXYZ, and are translational images of each other because all their sides and angles are equal

What are the properties of a rhombus?

Some of the properties of a rhombus are;

The sides are congruent.All the opposite sides are parallel to each other.Diagonals bisect each other perpendicularly.The angles are supplementary, that is, they add up to 180°

If Rhombus RSTU is congruent to WXYZ, then they are both translation images of each other because all their sides and angles are equal.

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Evaluate the surface integral ∫sf⋅ ds where f=⟨2x,−3z,3y⟩ and s is the part of the sphere x2 y2 z2=16 in the first octant, with outward normal orientation away from the origin

Answers

Parameterize S by the vector function

[tex]\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle[/tex]

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

[tex]\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle[/tex]

The integral of the field over S is then

[tex]\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv[/tex]

[tex]\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv[/tex]

[tex]\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}[/tex]

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