Find the product of the binomial (4x+3) with the trionomial (2x square -5x -3)

What is the initial fee to rent the cabin?

$50, this is the y-intercept

What is the cost per night?

$75, this is the slope

Write an equation to represent the situation.

y = 75x + 50

Answer:

Step-by-step explanation:

So First we know she pays (538.66) every month (12months in a year ) for (30) years

So 538.66*12*30 = 193,917.60

Then, we take his total payment minus the what he originally owed.

193,917.60 - 150,000 = $43,917.60

Susie's monthly mortgage payment on her $150,000 home is $538.66. If the loan has a 30-year term, the total interest she will have to pay throughout that time will be $43,917.60.

A mortgage is, to put it simply, a contract that a person forms after borrowing money from a lender (in this case, a bank) and giving the lender a guarantee (in the form of a real estate property) that the money will be paid back in full.

So first one must know  as she pays 538.66 every month as there are 12 months in a year and for 30 years, the payment calculation is:

538.66 × 12 × 30 = 193,917.60

Then, deduct the amount he originally owed from his total payment.

193,917.60 - 150,000 = $43,917.60

Therefore, the total interest she will have to pay throughout that time will be $43,917.60.

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Answer:

5

Step-by-step explanation:

Use formula or count the steps since it's on the same line

Answer:

Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformations Eleanor concluded "It's not possible to map triangle DEF on GHI using a sequence of rigid transformations, so the triangles are not similar. ... So the triangles are similar.

Step-by-step explanation:

Answer:

It is B. One more transformation — a dilation — would map \triangle DEF△DEFtriangle, D, E, F onto \triangle GHI△GHItriangle, G, H, I. So the triangles are similar.

Step-by-step explanation:

Step-by-step explanation:

percentage discount = (360 - 270)/360 x 100% = 25%

Topic: Percentage

You can check out my insta (learntionary) for the formula for these types of questions or look for other cool math tips!

Answer:

y=mx+b sdi c xc xx cx cx cxc xc 87

Step-by-step explanation:

Answer:

62.3

Step-by-step explanation:

6

8.9

*7

____

 62.  3

I tried to show how to do it but carry the 6 at the top

Answer:

64 (I rounded btw)

Step-by-step explanation:

8.9 × 7 = ??

1. Round 8.9

2. 8.9 can be rounded to 9

3. change equation

4. 9×7= 63

Thus, your answer is 63

(If your supposed to do the math differently tell me and I'll correct it)

The graph will be linear with a positive slope if distance is increasing with time.

The question is incomplete but I will try to help you the much I can. The speed of a body is the ratio of distance covered to the time taken. The shape of the distance time graph depends on the nature of the relationship.

Even though the graph is not shown, the graph will be linear with a positive slope if distance is increasing with time.

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The number of basil leaves required will be 12.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Monica makes tomato sauce with the plants she grows in her garden. she uses 3 basil leaves in her sauce for every 8 tomatoes. she is making a big batch of sauce with 32 tomatoes from her garden.

The number of basil leaves will be calculated as:-

3 basil leaves = 8 tomatoes

1 tomato = 3 / 8 basil leaves

32 tomatoes = ( 32 x 3) / 8 = 4 x 3 = 12

Therefore, the number of basil leaves required will be 12.

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Answer:

[tex]r=160-12m[/tex]

Step-by-step explanation:

Heart rate will be represented by [tex]r[/tex], minutes will be represented by [tex]m[/tex].

Here's the equation I came up with:

[tex]r=160-12m[/tex]

We can also rearrange it to look like a point-slope equation. Either way works, it's the same equation.

[tex]r=-12m+160[/tex]

This works because her heart rate is decreasing by a constant value. The initial heart rate is like the y-intercept, while the amount that it decreases by is the slope.

I hope this helps!

The equation is y=160-12t where t is the time in minutes.

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here, After sprinting, Emilie has a heart rate of 160. As

she cools down, her heart rate falls by 12 beats therefore, we can form the equation as if the time  is t minutes of cooling down then we can the heartbeat at a given time as y=160-12t

Hence, the equation is y=160-12t where t is the time in minutes.

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Answer:

8+5x=3x 8= -2x x = -4

Step-by-step explanation:

May I have brainliest please? :)

Answer:

-4

Step-by-step explanation:

5x + 8 = 3x

Answer:

Plane speed: 100  &  Wind:20

Step-by-step explanation:

Plane speed =x mph

wind speed =y mph

against wind 6 hours

with wind 4 hours

Distance against 480 miles distance with 480 miles

t=d/r against wind -

480 / ( x - y )= 6

6 ( x - y ) = 480

6 x - 6 y = 480 ....................1

480 / ( x + y )= 4.00

4.00 ( x + y ) = 480

4.00 x + 4.00 y = 480 ...............2

Multiply (1) by 4

Multiply (2) by 6 24

we get

24.00 x + -24 y = 1920

24.00 x + 24 y = 2880

48 x = 4800

/ 48

x = 100 mph

plug value of x in (1)

6 x -6 y = 480

600 -6 y = 480

-6 y = 480 -600

-6 y = -120 mph

y = 20

Plane speed 100 mph

wind speed 20 mph

Answer:

1 1/18

Step-by-step explanation:

Answer:

Decimal:1.4simple form:13/9 mixted:1 and 4/9

Step-by-step explanation:

Answer:

1 solution

Step-by-step explanation:

x = 10 , − 2

Complete question is;

How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?

A. They have different values and are different signs.

B. They have different values but are the same sign.

C. They have the same value but are different signs.

D. They have the same value and the same sign

Answer:

D. They have the same value and the same sign

Step-by-step explanation:

For 72 divided by 9,it is;

72/9 = 8

Usually when we don't have any sign in front of a number, it is said to be positive.

Thus, the answer can be expressed as; +8

Also, when -72 is divided by (-9), it is;

-72/-9

The negative signs will cancel out to give; 8

Similar to the first division, since no sign is attached to 8,it is said to be positive as +8.

This means both divisions yield same values and same signs

Answer:

2 ,but exact is 2.64172

Step-by-step explanation:

Answer:

2.64 gallons

Step-by-step explanation:

10/3.785= 2.64

Answer:

∠Z and ∠W are supplementary

Step-by-step explanation:

In the diagram given showing a special trapezoid, WX and ZY are two opposite sides that are parallel to each other.

Thus, consecutive angles would be supplementary.

Therefore, the only correct option that is true is:

∠Z and ∠W are supplementary.

The test options are incorrect as consecutive angles are not complementary and they are not in themselves congruent to each other.

They ARE supplementary so it WOULD be B <z and <w are supplementary

It has been a good while since I have done this type of work so I am deeply sorry if I am wrong.

The experimental probability of rolling an odd number is around  683.3333%, which is 58.3333% more than the theoretical probability.

Again I am deeply sorry if I am wrong, have a good rest of your day!

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

A special 8-sided die is marked with the numbers 1 to 8.

It is rolled 20 times with these outcomes:

{3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6}

The experimental probability of rolling an odd number is :

⇒ 12/20

⇒ 0.6

The percentage of experimental probability = 0.6 × 100 = 60%

Theoretical probability as:

⇒ 4/8 × 100 = 50%

Difference between experimental and theoretical probability

⇒ 60 - 50 = 10%

Hence, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

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Answer:

This is a relationship, and NOT a function

Step-by-step explanation:

Notice that from the pairs listed, we find that the number 14 in the Domain is connected via the relationship with TWO different numerical values in the Range (with 19 and with 5).Therefore, this cannot be a function, since in such case, each element of the Domain must connect with no more than one element of the Range.

width of the rectangle = b = x

length of the rectangle = l = 8 + 2x

Perimeter of the rectangle = 70cm

Also, perimeter of the rectangle = 2(l + b)

70 = 2[x + (8 + 2x)]

70 = 2(x + 8 + 2x)

70 = 2(3x + 8)

70 = 6x + 16

70 - 16 = 6x

54 = 6x

54/6 = x

9 = x

Therefore, b = x

b = 9cm

l = 8 + 2x

I = 8 + 2×9

I = 8 + 18

I = 26cm

Answer:

A(w) = 692 - 12w - (8000/w)

Step-by-step explanation:

Since it has a total area of 500 cm², it means that;

A = hw

Where;

A is area

h is height

w is width

Thus;

500 = hw

h = 500/w

We are told that There is a margin around the edges of 4 cm at the top and 8 cm on the bottom and sides where nothing is printed.

Thus;

We have height as; (h - 4 - 8) and width as; (w - 8 - 8)

Thus;

Area = (h - 4 - 8) × (w - 8 - 8)

Area = (h - 12) × (w - 16)

We know that h = 500/w

And we want to find the printed area in terms of the width(w)

Thus;

A(w) = ((500/w) - 12) × (w - 16)

A(w) = 500 - 12w - 8000/w + 192

A(w) = 692 - 12w - (8000/w)

Using the area formula, the appropriate expression for the area of the poster is A(w) = - 8000/w - 12w + 692

Total Area = 500 cm²

Area = Length × width

Entire area can be expressed thus :

Area with print can be expressed thus :

Length with print = (l - 8 - 4) = (l - 12) cm

Height with print = (w - 2(8)) = (w - 16) cm

Area = (l - 12)(w - 16)

Area = (500/w - 12)(w - 16)

Expressing in terms of width :

A(w) = 500 - 8000/w - 12w + 192

A(w) = - 8000/w - 12w + 692

Hence, the required expression is : A(w) = - 8000/w - 12w + 692

Answer:

1) The speed after 5 seconds is 13.[tex]\bar 8[/tex] m/s

2) The distance traveled after 5 seconds is 34.7[tex]\bar 2[/tex] meters

Step-by-step explanation:

1) The given parameters are;

The mass of the hockey puck, m = 0.18 kg

The horizontal force applied by the player, m = 0.5 N

The time at which the speed is calculated, t = 5 seconds after the force is applied

Therefore;

From the equation for the applied force, F = m × a. where a represents the acceleration, by substituting the known values get;

0.5 = 0.18 × a

∴ a = 0.5/0.18 = 50/18 = 25/9 = 2.[tex]\bar 7[/tex]

a = 2.[tex]\bar 7[/tex] m/s²

The speed after 5 seconds is given from the kinematic equation, v = u + a·t

Where;

v = The final velocity

u = The initial velocity = 0 m/s

t = The time = 5 seconds

By substitution of the known values, we get;

v = 0 + 2.[tex]\bar 7[/tex] × 5 = 13.[tex]\bar 8[/tex]

The speed after 5 seconds = 13.[tex]\bar 8[/tex] m/s

2) The distance traveled, s, after 5 seconds is given by the equation, s = u·t + 1/2·a·t²

From which we have;

s = 0 × 5 + 1/2 × 2.[tex]\bar 7[/tex] × 5² = 34.7[tex]\bar 2[/tex]

The distance traveled after 5 seconds = 34.7[tex]\bar 2[/tex] meters

Answer:

1. The curved surface area of the cone is 282.74 cm²

2. Radius of sphere r = 4.924 m

Step-by-step explanation:

1. Height of cone = 12 cm

Diameter of base of cone = 10 cm

Surface Area of cone = ?

The formula used is: [tex]A=\pi r(r+\sqrt{h^2+r^2})\\[/tex]

h= 12 cm

r = diameter/2 r = 10/2 = 5 cm

Putting values and finding surface area

[tex]A=\pi r(r+\sqrt{h^2+r^2})\\A=3.14*5 (5+\sqrt{(12)^2+(5)^2})\\A=15.7 (5+\sqrt{144+25})\\A=15.7 (5+\sqrt{169})\\A=15.7 (5+13)\\A=15.7(18)\\A=282.74 \ cm^2[/tex]

So, the curved surface area of the cone is 282.74 cm²

2. Sphere of Volume = 500 m³

We need to find radius of sphere

The formula used is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]

Putting values and finding radius of sphere

[tex]Volume=\frac{4}{3}\pi r^3\\500=\frac{4}{3}*3.14* r^3\\500=4.186*r^3\\=> r^3=\frac{500}{4.186}\\r^3=119.446\\Taking \ cube \ root \ on \ both \ sides.\\\sqrt[3]{r^3}=\sqrt[3]{119.446}\\r= 4.924 \ m\\[/tex]

So, Radius of sphere r = 4.924 m

Answer:

The probability is  [tex]P(\= X > 12 ) = 0.72688[/tex]

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 12.3 \ years[/tex]

    The standard deviation is  [tex]\sigma = 0.7 \ years[/tex]

    The sample size is  n = 14

Generally the standard error of the mean is mathematically represented as

         [tex]\sigma _{x} = \frac{\sigma}{\sqrt{n} }[/tex]

=>       [tex]\sigma _{x} = \frac{0.7}{\sqrt{14} }[/tex]

=>       [tex]\sigma _{x} = 0.1871[/tex]

Generally the probability that their mean life will be longer than 12 years is mathematically represented as

      [tex]P(\= X > 12 ) = P(\frac{\= X - \mu }{\sigma} > \frac{12 - 12.3}{ 0.1871 } )[/tex]

[tex]\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \=  X )[/tex]

       [tex]P(\= X > 12 ) = P(Z > -0.6034 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.6034  is

=>    [tex]P(Z > -0.6034 ) = 0.72688[/tex]

=>   [tex]P(\= X > 12 ) = 0.72688[/tex]

Answer:

1. 30 output

2. 15

3. 348

4. 6

5. 1st graph

Step-by-step explanation:

-7(-5) -5=

35 - 5 = 30

2(2)²+6(2)-5=

2(4)+12-5=

8+12-5=

15

y/3 + 4=120

y+12=360

y=348

3x-15>3=

3x>18=

x>6=

2x-(6x+7)>-19=

2x-6x-7>-19=

-4x-7>-19=

-4x>-12=

x>3

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

Answer:

c

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

Answer:

148⁰

Step-by-step explanation:

M< EDF = M< DFE (because the two angles are equal because the triangle has two equal sides)

2x + 8 = 3x + 4

8 – 4 = 3x - 2x

4=x or x=4

So M< EDF= 2x4+8 = 16⁰  

So M< EDF + M< DFE= 32⁰

180⁰- 32⁰ = 148⁰