Graph the line with slope 1 passing through the point (5,4) .

Answer:

a = 2500mm

b = 5km

c = 2e+7

Step-by-step explanation:

Answer:

a)

1cm = 10mm

250cm = 250*10 = 2500mm

b)

1km = 1000m

5000m = 5000/1000 = 5km

c)

1km = 1000m

1m = 100cm

1km = 1000*100 = 100000cm

200km = 200*100000 = 20000000cm

Answer:

7a  3  −7a+1

Step-by-step explanation: I hope this help.

STEP

1

:

Equation at the end of step 1

 ((7a3 -  2a) -  2) +  (3 - 5a)

STEP

2

:

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,7

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

Polynomial Roots Calculator found no rational roots

Final result :

 7a3 - 7a + 1

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7 {a}^{3} - 7a + 1}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(7 {a}^{3} - 2a - 2) + ( - 5a + 3) }[/tex]

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expressions remains the same. Just, remove the parentheses

⇒[tex] \sf{7 {a}^{3} - 2a - 2 - 5a + 3}[/tex]

Collect like terms

⇒[tex] \sf{7 {a}^{3} - 2a - 5a - 2 + 3}[/tex]

⇒[tex] \sf{7 {a}^{3} - 7a - 2 + 3}[/tex]

Calculate

⇒[tex] \sf{7 {a}^{3} - 7a + 1}[/tex]

Hope I helped!

Best regards!!

Answer:

320p

Step-by-step explanation:

According to the question,

560p = 7 pencils

Therefore,

1 pencil = 560 / 7

             = 80p

So, for 4 pencils it costs

4 * 80 = 320p

Answer:

easy piizzy lemon squeezyy!!

Step-by-step explanation:

i) 560/7

=80

ii) 80*4

=320

Answer:

-11

Step-by-step explanation:

start with PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

so you would first start with 14 + (-12) so the + and - become a negative so it becomes 14 - 12 which is 2

so then do -8-5 which is -13

so then you combine them and get 2-13 which is -11

Answer:

x = 4

Step-by-step explanation:

6/x + 1/2 = 2

x(6/x + 1/2) = 2*x

x*6/x + x*1/2 = 2x

6 + x/2 = 2x

6 = 2x - x/2

6 = 4x/2 - x/2

6 = 3x/2

6*2/3 = x

12/3 = x

x = 4

probe:

6/4 + 1/2 = 2

3/2 + 1/2 = 4/2

Answer:

-21

Step-by-step explanation: a negative times a positive will always be a negative

Answer:

x=4

Step-by-step explanation:

2x+3=11

2x+3-3=11-3

2x=8

x=4

2x+3=11

2(4)+3=11

8+3=11

11=11

Answer:

x =4

Step-by-step explanation:

[tex]2x +3=11\\\\Collect \:like\:terms\\2x =11-3\\\\Subtract\\2x =8\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} =\frac{8}{2} \\\\x = 4[/tex]

Answer:

(7, 3)

Step-by-step explanation:

(2+5, 6-3) = (7, 3)

Answer:

The percentage of students taking exactly one courses is 38.46%.

Step-by-step explanation:

The frequency distribution table provided for the number of courses taken by part-time students is as follows:

# of Courses      Frequency         Relative            Cumulative

                                                     Frequency          Frequency

________________________________________________

             1                    20                 0.3846                     20

             2                    19                 0.3654                     39

             3                    13                 0.2500                     52

        TOTAL               52                 1.0000

The relative frequency is actually the probability or chance of the particular class or category of a frequency distribution.

The probability of students taking exactly one courses is 0.3846.

Then the percentage of students taking exactly one courses is:

0.3846 × 100% = 38.46%

Thus, the percentage of students taking exactly one courses is 38.46%.

Answer:

  sin(x) = tan(x) = 0

  cos(x) = sec(x) = -1

  cot(x) = csc(x) = UNDEFINED

Step-by-step explanation:

An angle of -7π is co-terminal with an angle of π (or 180°). Its trig ratios are ...

  sin(x) = tan(x) = 0

  cos(x) = sec(x) = -1

  cot(x) = csc(x) = UNDEFINED

Answer:

  C. 72 degrees

Step-by-step explanation:

Complementary angles total 90 degrees.

The second angle is ...

  90° - 18° = 72°

Add 2 x 2 + 5 x + 6 to − 4 x 2 − x + 7

Add the expressions.

13

Answer:1st graph

Step-by-step explanation: did this question already

Answer: First option

Step-by-step explanation:

I did the lesson already

Answer:

13 5/8

Step-by-step explanation:

3 3/4+9 7/8

15/4+79/8

30/8+79/8

109/8

simplify

13 5/8

Answer: The answer is 3.14 (also known as π)

Step-by-step explanation: The formula for the surface area of a sphere is:

A = 4πr^2

A = 4π (0.5)^2

A = 4π (0.25)

A = (4 x 0.25) π

A = 1π

A = π     or      A = 3.14

Answer:

Undefined.

Step-by-step explanation:

Because there is a 0 in the denominator.

Answer:

Undefined

Step-by-step explanation:

Because you cant divide by 0

Answer:

2   =  0

This equation has no solution.

Step-by-step explanation:

A a non-zero constant never equals zero

Answer: 510°

Step-by-step explanation:

1st.  solution.

Draw the perpendicular EP ⊥FB.

So from quadrilateral FAEP we find the∡AEP  ( sum of all angles in quadrilateral=360°)

∡AEP= 360°-∡FAE-∡AFP-∡FPE=360°-20°-90°-90°=160°

Draw CK ⊥FB

From triangle CKB we can find ∡BCK=180°-10°-90°=80°

From pentagon PEDCK (sum of PEDCK angles= 540°) we can find the sum of ∡PED+∡DCK= 540°-∡EPK-∡EDC-∡CKP= 540°-90°-90°-90°=270°

∡DEA+∡DCB=∡AEP+∡PED+∡DCK+∡KCB=160°+270°+80°=510°

Answer:

CEVAP 50ymis knk öyle dediler iwkwjskaoqkwjwhd

Answer:

[tex]=3-4i[/tex]

Step-by-step explanation:

So we have:

[tex](2-i)-(-1+3i)[/tex]

First, distribute:

[tex]=(2-i)+1-3i[/tex]

Combine like terms:

[tex]=-i-3i+2+1[/tex]

Add:

[tex]=-4i+3[/tex]

So, in the a+bi format, we will have:

[tex]=3-4i[/tex]

Answer:

3 -4i

Step-by-step explanation:

(2-i) - (-1+3i)

Distribute the minus sign

(2-i) + 1-3i

Combine like terms

3 -4i

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Use order of operations.

42/(15-2^3)

Exponents in Parentesis

42/(15-8)

Subtraction inParenthesis

42/7

Division

6

Answer:

3/8

Step-by-step explanation:

1/2*3/4

is

(1*3)/(2*4)

So it's 3/8

Answer:

Here,

a=[tex] \frac{1}{2} [/tex]

b=[tex] \frac{3}{4} [/tex]

Now,

[tex]ab \\ = \frac{1}{2} \times \frac{3}{4} \\ = \frac{3}{8} [/tex]

Answer:

Leg ED is adjacent to theta

Answer:

Ok, the straightforward thing you can do, when you have a number line like in this situation, you can just "count" the number of units that are between A and B.

Now, a more correct way:

First, A is located at the value -3, then we can write:

A = -3.

And B is located at the value 5, then:

B = 5.

Now, the distance between A and B is equivalent to the difference between A and B:

D = B - A = 5 - (-3) = 8

The distance between A and B is 8 units.

Answer:

Let's see it by an example!

The numbers are given:

5 , 77 , 23 ,45 & 0

Let's arrange this from least to greatest :

0<5<23<45<77

Note : This sign(<) means greater than.

Hope you understand!✔

You can also practice this by greatest to least!

You can use this sign(>) [ it means less than ]

SMALL Example is given :

55>2

Answer:

21/2

Step-by-step explanation:

[tex]\frac{3}{4}\times\:14\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:14=\frac{14}{1}\\=\frac{3}{4}\times\frac{14}{1}\\\\\mathrm{Cross-cancel\:common\:factor:}\:2\\=\frac{3}{2}\times\frac{7}{1}\\\\=\frac{3\times\:7}{2\times\:1}\\\\=\frac{21}{2}[/tex]

Answer: {...-3, -1, 1, 3, 5...}

Step-by-step explanation:

For a point to be discontinuous, the graph doesn't exist at that point. This means, it is represented with an open circle. All we have to do is to list out all the open circles on the graph.

{-3, -1, 1, 3, 5}

Answer:

b. {... –3, –1, 1, 3, ...}

Step-by-step explanation:

so basically it's b. the person above me is right they just added a 5 to the end

Answer:

The percentage is  [tex]P(0.09 < \mu < 1.2 ) = 34.9\%[/tex]

Step-by-step explanation:

From the question we are told that

  The random number is  [tex]x_1 = 0.09 \ and \ x_2 = 1.2[/tex]

Generally the mean of standard normal distribution is  [tex]\mu = 0[/tex]

                 The  standard deviation of a standard normal distribution is  [tex]\sigma = 1[/tex]

The percentage of the data in a standard normal distribution lies between

  [tex]x_1 = 0.09 \ and \ x_2 = 1.2[/tex] is mathematically represented as

       [tex]P(x_1 < \mu < x_2 ) = P(\frac{x_1 - \mu}{\sigma } <\frac{X - \mu}{\sigma } < \frac{x_2 - \mu}{\sigma } )[/tex]

      [tex]P(0.09 < \mu < 1.2 ) = P(\frac{0.09 - 0}{1 } <\frac{X - \mu}{\sigma } < \frac{1.2 - 0}{1 } )[/tex]

      [tex]P(0.09 < \mu < 1.2 ) = P(0.09 <\frac{X - \mu}{\sigma } < 1.2 )[/tex]

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

      [tex]P(0.09 < \mu < 1.2 ) = P(0.09 <Z < 1.2 )[/tex]

      [tex]P(0.09 < \mu < 1.2 ) = P (Z < 1.2 )- P( Z<0.09)[/tex]

From the z-table  

      [tex]P (Z < 1.2 )= 0.88493[/tex]

      [tex]P( Z<0.09) = 0.53586[/tex]

So

    [tex]P(0.09 < \mu < 1.2 ) = 0.88493 - 0.53586[/tex]

    [tex]P(0.09 < \mu < 1.2 ) = 0.349[/tex]

Hence the percentage  is  

     [tex]P(0.09 < \mu < 1.2 ) = 34.9\%[/tex]

The rate is 16.1% and the base is the final portion with the rate added on to it.

Chance the percentage into a decimal.

16.1% / 100 = 0.161

Multiply.

454 * 0.161 = 73.094

Add.

454 + 73.094 = 527.094 or 527.09

Therefore, the final base is roughly 527.09

Best of Luck!

Answer:

.125

Step-by-step explanation:

.125 * 8 = 1