ALGEBRA 1
Find the number of terms in the sequence given below:
1.5, 9, 13, ........, 201
a. 51
b. 42
c. 59
d. 45

What do you mean?? .-.

Answer:

Step-by-step explanation:

a , [tex]5\frac{9}{14}[/tex]

b,[tex]7\frac{1}{2}[/tex]

Answer:

A) 5 9/14

B) 7 1/2

Step-by-step explanation:

Question A asks what is 4 1/7 + 1 1/2

First turn the problem into improper fraction for it to be easier to calculate.

29/7 + 3/2

Now we have to find the denominator(bottom number)

We have 7 and 2 as our denominators. So we need to find out the lcm(least common factor)

For 7 and 2 the lcm is 14

So far we have:

29/7 + 3/2 = ?/14 + ?/14 = ?

Now we need to find the numerator(The top number). That fills in the ? over the two 14's.

To find the numerator we need to mutiply.

29/7 + 3/2 = ?/14 + ?/14 = ?

7 × ? = 14 the answer is 2 so then we multiply the top also with 2. So 29 × 2 = 58.

29/7 + 3/2 = 58/14 + ?/14 = ?

Now we have figured out one of the ?

We do the same thing for the other one

2 × ? = 14 answer is 7 so we also multiply the top with 7. 3 × 7 = 21.

29/7 + 3/2 = 58/14 + 21/14 = ?

Now we have to solve this:

58/14 + 21/14 = ?

The denominator is 14 because both of them are 14.

The top we need to add together so 58+21= 79

Now our answer is:

79/14

If we simplify it(by turning into improper fraction):

5 9/14

B) question is 4 1/2 ÷ 3/5

First we turn it into inproper fraction

9/2 ÷ 3/5

Since it is divsion we have to flip the second fraction which is 3/5 into 5/3, and turn the ÷ symbol into ×

9/2 × 5/3

Now we multiply across

9×5 = 45

2×3 = 6

answer: 45/6

Now if we simplify:

7 1/2

Hope that helped! that was long.. I would apreciate a brainlist if you could, thx!

Answer:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

represent the mean for sample 1  

represent the mean for sample 2  

represent the sample standard deviation for 1  

represent the sample standard deviation for 2  

sample size for the group 2  

sample size for the group 2  

Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And the degrees of freedom are given by    

Replacing the info given we got:

The degreess of freedom are given by:

Now we can calculate the p value with the following probability:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

49π

Step-by-step explanation:

Circle area: πr^2

Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.

Since we know the radius, we can put it in the formula, πr^2.

We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.

From the information about a standard deck of cards, it is found that:

There are 28 ways in which she can choose a jack or a black card.

--------------------------------------------

A standard deck of cards is composed by:

--------------------------------------------

The desired outcomes are:

26 + 2 = 28, thus:

There are 28 ways in which she can choose a jack or a black card.

A similar problem is given at https://brainly.com/question/24233657

Answer:  see Steps 1 - 5 (attached)

Step-by-step explanation:

I completed #1 for you. Each image shows one of the steps.

Follow the exact same steps to complete #2 - #5

#6 asks for a double angle.  

Add an extra item to step 3: Draw an arc from vertex through the line  

--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''.  Use the measure of the vertex to B'' for the remaining steps.

If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.

Answer:

Step-by-step explanation:

Absolute maximum:  none

Absolute minimum:  -4.5 (when x = 2.5)

Relative maximum:  (-0.5, 4)

Answer:

112 m³

Step-by-step explanation:

Let's calculate first the voulume of the tank

the volume of thi tank is given by :

so the volume is :

Multiply by 2/3 to get the volume of the water

Answer:

112 m^3

Step-by-step explanation:

V = l x w x h

V = 4 x 12 x 3.5

V = 168 m^3

V = 168 x (2/3)

V = 112 m^3

Answer:

    3 > x

Step-by-step explanation:

–2(5 – 4x) < 6x – 4

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

Step 4: divide each side by by -2, remembering to flip the inequality

   -6/-2 > -2/-2

    3 > x

Answer:

x < 3

Step-by-step explanation:

−2(5−4x)<6x−4

Use the distributive property to multiply −2 by 5−4x.

−10+8x<6x−4

Subtract 6x from both sides.

−10+8x−6x<−4

Combine 8x and −6x to get 2x.

−10+2x<−4

Add 10 to both sides.

2x<−4+10

Add −4 and 10 to get 6.

2x<6

Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.

x= 6/2

Divide 6 by 2 to get 3.

x= 3

X< 3

Mark me as brainliest

Answer:

[tex]x2 = \frac{4}{3} [/tex]

Step-by-step explanation:

[tex]18 {x}^{2} + 21x - 60 = 0[/tex]

Divide both sides of the equation by 3

[tex]6 {x}^{2} + 7x - 20 = 0[/tex]

Write 7x as a difference

[tex]6 {x}^{2} + 15x - 8x - 20 = 0[/tex]

Factor out 3x from the expression

[tex]3x(2x + 5) - 8x - 20 = 0[/tex]

Factor out -4 from the expression

[tex]3x(2x + 5) - 4(2x + 5) = 0[/tex]

Factor out 2x + 5 from the expression

[tex](2x + 5)(3x - 4) = 0[/tex]

When the product of factors equals 0 , at least one factor is 0

[tex]2x + 5 = 0[/tex]

[tex]3x - 4 = 0[/tex]

Solve the equation for X

[tex]2x + 5 = 0[/tex]

Move constant to R.H.S and change its sign

[tex]2x = 0 - 5[/tex]

Calculate the difference

[tex]2x = - 5[/tex]

Divide both sides of the equation by 2

[tex] \frac{2x}{2} = \frac{ - 5}{2} [/tex]

Calculate

[tex]x 1= - \frac{5}{2} [/tex]

Again,

[tex]3x - 4 = 0[/tex]

Move constant to RHS and change its sign

[tex]3x = 0 + 4[/tex]

Calculate the sum

[tex]3x = 4[/tex]

divide both sides of the equation by 3

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

Calculate

[tex]x 2= \frac{4}{3} [/tex]

Hope this helps..

Best regards!!

Answer:

39x+58

Step-by-step explanation:

18x 2+21x-60=0

pick the like terms together

18x+21x=39x

60-2=58

=39x+58

Answer:

24 x 8 ÷ 2

Step-by-step explanation:

Because need to use the straight line to find the area and divide by 2 because it is half of square

Answer:

108 cm²

Step-by-step explanation:

Area of trapezium = 1/2(a+b)h

1/2(1+8) x 24=

4.5 x 24 =

108 cm²

I hope this helped!!

Explanation:

Let x be the length of the third side. We can't find the exact value of x, as we don't have enough info, but we can find possible values for x.

The lower boundary for x is 13-8 = 5. It must be larger than this value.

At the same time, x must be smaller than 13+8 = 21 as well.

So x > 5 and x < 21 becomes 5 < x < 21

In short, x is between 5 and 21. It cannot equal either endpoint.

Answer:

Step-by-step explanation:

:)

Answer:

y is 3.6

Step-by-step explanation:

The information given are

Parallel lines crossing two converging lines with proportion 3 and 5 on one and 6 and y on the other

To find y, we have that two or more parallel lines cut by two transversal proportionately cut the transversal lines;

Therefore we have from the measured segment of the two lines;

[tex]\dfrac{3}{5} = \dfrac{y}{6}[/tex]

Which gives;

3 × 6 = 5 × y

y = 3 × 6/5 = 18/5

y = 18/5 = [tex]3\frac{3}{5}[/tex] , which is equal to 3.6.

Answer:

You can determine this by putting the rational numbers in decimal form.

Step-by-step explanation:

A rational number like 1/2 will have a terminating decimal answer = 0.5

A rational number like 7/11 will have a terminating decimal answer = 0.636 where 36 is repeating.

Answer:

7 nickels and 17 pennies

Step-by-step explanation:

7 nickels will give you an answer of 35 and if you subtract 35 from 52 that leaves you with 17. 17 is the number of pennies since it is the remainder and each penny is one cent each

Answer:

c

Step-by-step explanation:

Answer:

384

Step-by-step explanation:

6 squares of 8x8=

8x8x6=384

Answer:

Standard deviation=4

Step-by-step explanation:

Standard deviation = square root of variance

Standard deviation=√variance

Variance=standard deviation square

Variance=standard deviation^2

From the question

Variance=16

Standard deviation=?

Standard deviation=√variance

=√16

=4

Standard deviation=4

check:

If standard deviation=4

Variance=standard deviation^2

=4^2

=16

Therefore,

Standard deviation=√variance

[tex]4[/tex]

Variance of the variable [tex]=16[/tex]

Standard deviation [tex]=\sqrt{16}[/tex]

                                [tex]=\boldsymbol{4}[/tex]

Find out more information about the variance here:

https://brainly.com/question/24304293?referrer=searchResults

Answer:

53437.3639

Step-by-step explanation:

23y5o9-023.36839637836386378673676763767678362

Answer:

10,000

Step-by-step explanation:

Standard notation is just the normal way of writing things. 10 x 10 x 10 x 10 = 10,000.

Answer:

x=2.25

Step-by-step explanation:

ΔABC and ΔADE are similar.

∴ sides are proportional.

[tex]\frac{5}{1} =\frac{x+9}{x} \\5=\frac{x}{x} +\frac{9}{x} \\5=1+\frac{9}{x}\\\frac{9}{x}=5-1\\\frac{9}{x}=4\\x=\frac{9}{4}=2.25[/tex]

Answer:

x = 9/4

Step-by-step explanation:

We know that the triangles are similar

We can use ratios to solve

x          x+9

----- = ----------------

1            5

Using cross products

5x = 1(x+9)

5x = x+9

Subtract x

5x-x = x+9-x

4x= 9

Divide by 4

4x/4 = 9/4

x = 9/4

Answer:

  a = -1

Step-by-step explanation:

The line of symmetry for the parabola given by ...

  y = ax² +bx +c

is

  x = -b/(2a)

Using the given values, we have ...

  -2 = -(-4)/(2a)

Multiplying by -a/2, we get ...

  a = (4/2)(-1/2) = -1

The value of "a" is -1.

Answer:

9/20 (or) 45% (or) .45 (however your teacher wants it expressed)

Step-by-step explanation:

There are 20 experiments and 9 of them have three ones and two zeros.

9/20

Answer:

441 rectangles

Step-by-step explanation:

Formula for the number of rectangles in a chessboard=

n²(n + 1)²/ 4

We are told in the question that is a 6×6 chessboard

Hence, n = 6

= 6²(6 + 1) ²/ 4

= 6²× 7²/4

= 36 × 49/4

= 1761/4

= 441 rectangles

Therefore, the number of rectangles in 6×6 chessboard is 441 rectangles.

Answer:

$6250

Step-by-step explanation:

6250x.075x8=3750

6250+3750=10,000

Answer:

5/12

Step-by-step explanation:

take the number of students who read under6 books (5) and divide by total amount of students (12)

5/12

Answer:

5/12

Step-by-step explanation:

there are a total of 12 books read and a frequency of 5 books read that is fewer than 6 books

Answer:

150 in^2

Step-by-step explanation:

The ends have the smallest surface area.  The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2

The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.

Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2

Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2

Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.

Height of a rectangular prism [tex]=4[/tex] inches

Width of a rectangular prism [tex]=9[/tex] inches

Length of a rectangular prism [tex]=3[/tex] inches

Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism

Therefore,

Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]

                                                           [tex]=2\left ( 36+27+12 \right )\\=150[/tex]

So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.

Find out more information about prism here:

https://brainly.com/question/12649592?referrer=searchResults

Answer:

it is 540 degrees.

Step-by-step explanation:

Answer:

108°

Step-by-step explanation:

Sum of interior angle of any polygon = (n - 2 )*180

Here, n = number of sides

Sum of interior angle of regular pentagon = ( 5 - 2)*180 = 3*180 = 540°

In regular pentagon all the angles are congruent.

Interior angle of regular pentagon = 540/5

                                                         = 108°

The vertex form of the quadratic equation is:

[tex]h(x) = (x - 3)^2 - 6[/tex]

For a quadratic equation:

[tex]y = a*x^2 + b*x +c[/tex]

With vertex (h, k), the vertex form is:

[tex]y = a*(x - h)^2 + k[/tex]

In this case, we have the equation:

[tex]h(x) = x^2 - 6x + 3[/tex]

To get the x-value of the vertex we use the general formula:

[tex]h = -(-6)/(2*1) = 6/2 = 3[/tex]

To get the y-value, we evaluate the function in x = 3, so we get:

[tex]h(3) = k = (3)^2 - 6*3 + 3 = -6[/tex]

So the vertex is (3, -6).

Then the vertex form is:

[tex]h(x) = (x - 3)^2 - 6[/tex]

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

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