How do you solve the inequality 2x − 3 < −5

Answer:

12 units³

Step-by-step explanation:

The required formula is V = (1/3)πr²h, where r is the radius and h is the height.  Here we get:

V = (1/3)π(2)²(9) = (1/3)π(9)(4) = 12 units³

[tex] \dfrac{126}{21} = \dfrac{2 \times 3 \times 3 \times 7}{3 \times 7} = 6[/tex]

Answer: 6

Answer:

89

Step-by-step explanation:

8 is divisible by 4

And 9 is divisible by 3

d. is a rational number.

Because it shows halfs and and halfs is a ratio.

And it shows this symbol (/)

Answer:

The answer is D.

Step-by-step explanation:

Rational number is a number that can be written in the form of fraction, a/b .

Integer is a positive or negative number.

The first one on the left.

The vertical bars mean we take the absolute value of that number.

Absolute value means distance from zero on a number line.

So the absolute value of any number

is the positive version of that number.

So for the one on the left we have |-100| > |50|.

Since absolute value represents the positive version

of a number, the absolute value of -100 will be 100.

Since |50| is already positive, it stays the same.

So we have 100 > 50 which is indeed a true statement.

If you solve the other ones, you will see that they are false.

Answer:

the first one on the left side

Step-by-step explanation:

Answer;

Option B is correct.

The function increases at a constant multiplicative rate.

Step-by-step Explanation:

Complete Question

A table representing the function f(x) = 2(3/2)ˣ is shown below. What is true of the given function?

x | f(x)

0 | 2

1 | 3

2 | 4.5

3 | 6.75

a) The function increases at a constant additive rate.

b) The function increases at a constant multiplicative rate.

c) The function has an initial value of 0.

d) As each x value increases by 1, the y values increase by 1.

Solution

The function provided is

f(x) = 2(3/2)ˣ

We will take as h of the options one at a time to investigate which one is true.

a) The function increases at a constant additive rate.

A function that increases at an additive rate is one whose value as x increases, also changes with a constant difference between consecutive terms. That is, the consecutive terms of the functions for consecutive whole number values of x, will be like an Arithmetic progression with a constant common difference. If this function increased at an additive rate,

f(1) - f(0) = f(2) - f(1) = f(3) - f(2)

Inserting the values

3 - 2 = 4 5 - 3 = 6.75 - 4.5

1 ≠ 1.5 ≠ 2.25

Hence, this statement isn't true.

b) The function increases at a constant multiplicative rate.

For the function to increase at a multiplicative rate, the consecutive terms of the functions for consecutive whole number values of x will behave like a geometric progression with a common ratio. That is, the division of the (n+1)th term and the nth term of the function will always be a constant. That is,

f(1) ÷ f(0) = f(2) ÷ f(1) = f(3) ÷ f(2)

Inserting the values

(3/2) = (4.5/3) = (6 75/4.5)

1.5 = 1.5 = 1.5

The ratio is truly constant, hence, we can conclude that this statement is true and the function increases at a constant multiplicative rate.

c) The function has an initial value of 0.

For this to be true, f(0) = 0.

But from the table, it is evident that f(0) = 2, hence, the initial value of the function isn't 0 and this statement is false.

d) As each x value increases by 1, the y values increase by 1.

We've already checked the difference between consecutive terms of the functions for consecutive whole number values of x, the difference includes, 1, 1.5 and 2.25. Hence, as each x value increases by 1, the y values do NOT always increase by 1 and this statement is false.

Hope this Helps!!!

Answer:

B

Step-by-step explanation:

Answer:

Minimum

Explanation:

This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.

Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.

Answer:

A and B. increasing heart rate and positive correlation

Step-by-step explanation:

The heart rate increases as they drink more cups of coffee and because the both sets of data are increasing in the same direction, it's positive correlation.

Hope my answer helps and isn't too short <3

Answer: B AND D

Step-by-step explanation:

Answer:

368

Step-by-step explanation:

Answer:

x squared+ 4x + 4

Step-by-step explanation:

Answer:mode is 0

`

Step-by-step explanation:mode is the most repeated value

Answer:

1/6

Step-by-step explanation:

Since we don't care what appears on the first roll

P( outcome) = 1

Second roll

P(1 or 2) = number of 1 or 2 / total number of outcomes

              =2/6 = 1/2

Third roll

odd numbers 1,3,5

P( odd number)= number of odd numbers/ total

                          =3/6 =1/2

P( outcome, 1or 2, odd)  = P( outcome) *P(1 or 2) *P( odd number)

                                       = 1* 1/3 * 1/2

                                       = 1/6

Answer:  [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Answer:

x=4

Step-by-step explanation:

x+8=9*(4/3)

x+8=12

x=4

Brainliest plus a thanks?

Answer:

The expression b/(a +b) does not exist when a = -b or b = -a

Step-by-step explanation:

The expression b/(a + b) does not exist if the denominator a + b = 0.

So, a = - b or b = -a.

So, the expression b/(a + b) does not exist when a = -b or b = -a.

When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.

When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.

So the expression b/(a +b) does not exist when a = -b or b = -a

Answer:

a balance and a beaker of water

hope it helps mark as brainliest

Answer:

water and beaker, and other science tools

Step-by-step explanation:

Answer:

58 / (24 + 58) = 29/41

Step-by-step explanation:

Answer:

P(1) = 0

Step-by-step explanation:

The  sum of 1 is impossible so that horse will never  get to move

The probability of winning is zero

Answer:

p(1) = 0

Step-by-step explanation:

The horse can't move at all (why it's a bad idea)

The probability of winning is 0

Hope this helps!

Answer:

[tex]-180[/tex]

Step-by-step explanation:

[tex]\left(2x+9\right)\left(x-4\right)\left(x+5\right)[/tex]

[tex]\left(2x^2+x-36\right)\left(x+5\right)[/tex]

[tex]2x^3+11x^2-31x-180[/tex]

Answer:

-180

Step-by-step explanation:

(2x+9)(x-4)(x+5)

The constant term is

9*-4*5

-180

Complete Question

Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below.

[tex]250(1+\frac{0.018}{2})^{2t}[/tex]

Use the given expression to complete the statements below.

The expression is the___(Product , Sum  , Quotient , Square) of the amount initially deposited and the____(Quotient , Product , Difference , Sum)  of one and the rate of increase raised to the number of ___.(Compounding Periods , Years, Months)

Answer:

Step-by-step explanation:

For an amount invested at compound interest at a rate of r% with period for t years,

Amount [tex]=P(1+\frac{r}{k})^{tk}[/tex]

Comparing with the given expression: [tex]250(1+\frac{0.018}{2})^{2t}[/tex]

Period =2

Rate =0.018

Total Compounding Period =2 X t, where t=Number of years

Therefore:

The expression is the Product of the amount initially deposited and the Sum of one and the rate of increase raised to the number of Compounding Periods .

Answer:

isoceles right triangle

Step-by-step explanation:

the two lines shows their equal length and its at a 90 degrees angle so its a  isoceles right triangle

Answer:

The cylinder is cheaper to make because it has less surface area.

Step-by-step explanation:

In order to find the surface area of a cylinder, you do 2πrh+2πr²

We need the radius, which is half of the diameter, so then we have 2π(3·12)+2π·3² which gets us 282.72

We also need the surface area of the rectangular prism which we can get by 7x4 + 7x4 + 12x7 + 12x7 + 12x4 + 12x4 which gets us 320

282.72 < 320

Answer:

24:16

Step-by-step explanation:

to find 1 part = 40/5 (you add the total of the ratio: 3+2)

so 8 and then times 8 by 3 and 8 by 2 to get the parts

Answer:

24 and 16

Step-by-step explanation:

First find the number of parts: 3+2 = 5.

then, divide 40 by 5 to find how much is available for each part. This way, you get 8.

Then to find the value for each section of the ration, multiply eight by the corresponding side.

8 x 3 = 24

8 x 2 = 16

Hope this helps.

Please mark brainiest

Answer:

164 cm.

Step-by-step explanation:

First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.

Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.

Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.

After all this, I added everything together. 60 + 24 + 80 = 164.

Sorry, I'm not the best at explaining things.

Answer:

1/2

Step-by-step explanation:

The slope is one half, because every time x increases by 1, y increases by 1/2. You can find the slope using the rise over run strategy. You choose a point, and you also choose the point to the right of the point you first chose. You then count how many units up and to the right the right point is.

Its Up/Right.

This version of rise over run however only works when the line is going up.

Answer:

The roots are real and unequal (3, -3)

Step-by-step explanation:

x²-9=0

ax²+bx+c=0

Comparing we get,

a= 1

b= 0

c = -9

Determinant: b²-4ac

= 0² - 4(1)(-9)

= 36>0

D > 0

Therefore, the equation has real and unequal roots.

Algebraic identity:

x² - a² = (x-a)(x+a)

Using this identity

x²-9 = (x+3)(x-3)

Roots are 3 and -3 which are real and not equal to each other

Hope this answer helps you ..

Answer:

2 real solutions

Answer:

C) 3/2x-3=y

Step-by-step explanation:

-3 because that is the Y-intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.

The equation of given graph is y = [tex]\frac{-3}{2} x - 3[/tex]

Learn more about line here:

https://brainly.com/question/13763238

#SPJ2

Answer:

I dont get this ??

Step-by-step explanation:

Complete Question:

The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.

According to the plot, which value is the best estimate of the correlation coefficient of the data?

A. -0.2 B. -0.9 C. 0.9 D. 0.2

*See attachment for the scatter plot.

Answer:

C. 0.9

Step-by-step explanation:

The scatter plot given in the graph attached shows a relation between oranges picked and the number of lemon that is harvested as the line slopes in an upward direction. This suggest a positive correlation coefficient, because as the variable on the Y-axis increases, the variable on the X-axis also increases in the same direction. Hence, our correlation coefficient would be a positive value.

Also, the correlation coefficient would be close to 1, because the points on the scatter plot seem clustered and aligned along the line slope.

Therefore, the best estimated value for the correlation coefficient would be C. 0.9.