Evaluate the expression when b=9 .

24/9 + 8 =

Answer:

Solution

We want to find the equation of the line given in the graph

We can see the four points on the graph where the line pass through

The points are

We first obtain the slope (m)

The formula for finding the slope is given as

Using the points (0,2) and (-4,0) (indeed we can pick any two points, we will still obtain the same answer)

Here

We can use any of the points above to find the equation

Equation of a line is given by

Using (4,4)

Option D is correct

Using (2,3)

Answer:

$0.99/L

Step-by-step explanation:

$1.98 divide by 2  =0.99

2Ldivide by 2            L

If you travel for three hours at a speed of 30 km/hr, you will go a distance of 90 km.

Speed is the rate of change of an object position relative to a given frame of reference. It is a scalar quantity meaning it has both magnitude and direction. Speed is usually measured in meters per second.

The distance travelled can be calculated by multiplying the speed of 30 km/hr by the number of hours travelled, which is 3. Therefore, the distance travelled is 90 km. To summarize, if you travel for three hours at a speed of 30 km/hr, you will go a distance of 90 km.

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The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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The surface area for the cylindrical box with a diameter of 15cm and height of 70cm is 1162.5π cm².

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The surface area of a cylinder is expressed as;

S.A = 2πrh + 2πr²

Where r is radius of the circular base, h is height and π is constant pi.

From the diagram;

Plug the values into the above formula and solve for surafce area.

S.A = 2πrh + 2πr²

S.A = ( 2 × π × 7.5cm × 70cm ) + ( 2 × π × ( 7.5cm )² )

S.A = 1050π cm² + 112.5π 7.5 cm²

S.A = 1162.5π cm²

Therefore, the surface area is 1162.5π cm².

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Answer: 5x-2

Step-by-step explanation:

Step-by-step explanation:

the karen has 5x then .i hope this is answer

9514 1404 393

Answer:

  C.  (-17) + 45 + (-33)

Step-by-step explanation:

The order seems appropriate for A, B, D:

  A. = 37 -6/2 = 34

  B. = 1/3 +5 = 5 1/3

  D. = 100 -32 = 68

I would rearrange the numbers in C to put the negative numbers together:

  C. = (-17) +(-33) +45 = -50 +45 = -5

Answer:

c. is the right answer :) hope this helps

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer:

There are approximately 38 cows in the herd.

Step-by-step explanation:

In this problem, we are asked to find the number of cows in a herd, given that 16% of the cows have already given birth to calves and 32 have not yet done so.

Assuming there are no other types of cows in the herd, we can determine that the 32 cows that have not had calves make up 84% of the herd, since they are what is left over when 16% is subtracted from 100% (the whole herd).

\(100\%-16\% = 84\%\)

We can now create a equation that shows that 84% of the herd is 32 cows, representing the total number of cows in the herd as x.

\(32 \text{ cows} = 84\% \cdot x\)

Finally, to solve for the number of cows in the herd, we can multiply both sides by 100/84.

\(\dfrac{100}{84}(32 \text{ cows}) = (84\% \cdot x)\dfrac{100}{84}\)

\(x \approx 38 \text{ cows}\)

So, there are approximately 38 cows in the herd.

Answer:

No they are not proportional

Step-by-step explanation:

They arent proportional because if they were on a graph they wouldnt have a straight line ... I'm in wrong lmk

Answer:

no its not proportainal

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

none

Answer:

6+4×3+7=37

Step-by-step explanation:

6+4= 10

3x10=30

30+7=37

Answer:

g(x)=x-2/x^2-9

If there is more than one value, separate them with commas.

Step-by-step explanation:

Answer:Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3-- A

Step-by-step explanation:

Step 1

In solving 3b + 8 ≥ 14

we first  subtract both sides by 8, which will give

3b+ 8 -8 ≥ 14-8

3b  ≥ 6

Step 2

Then, divide both sides  by 3----Since  we are multiplying by a positive number, 3, the inequalities sign  will not change but will still remain the same.

3b/3  ≥ 6/3

To give answer as b ≥ 2.

Answer:

A

Step-by-step explanation:

Answer:

B. ( im sorry if its wrong, i just can't see the picture clearly )

Answer:

8

Step-by-step explanation:

Make x the answer the the equation by swapping the answer with x

6+2=x

Then solve and plug in the variables

8=x

8-6=2

Answer:

x = 8

Step-by-step explanation:

this is because

8-6=2

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

The first four terms of the geometric sequence with a first term of 3 and a common ratio of 2 are 3, 6, 12, and 24.

To find the first four terms of a geometric sequence with a first term (a1) of 3 and a common ratio (r) of 2, we can use the formula for the nth term of a geometric sequence:

\(an = a1 * r^(n-1)\)

Substituting the given values, we have:

a1 = 3

r = 2

Let's calculate the first four terms (n = 1, 2, 3, 4) using the formula:

\(a1 = 3 * 2^(1-1) = 3 * 2^0 = 3 * 1 = 3\\a2 = 3 * 2^(2-1) = 3 * 2^1 = 3 * 2 = 6\\a3 = 3 * 2^(3-1) = 3 * 2^2 = 3 * 4 = 12\\a4 = 3 * 2^(4-1) = 3 * 2^3 = 3 * 8 = 24\)

Therefore, the first four terms of the geometric sequence with a first term of 3 and a common ratio of 2 are 3, 6, 12, and 24.

In summary, the terms of the sequence are obtained by multiplying the first term (a1) by the common ratio (r) raised to the power of (n-1), where n represents the term number.

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Answer:

Accelerate

Step-by-step explanation:

It just feels right!

Have a nice day! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

( ﾟдﾟ)つ Bye

Step-by-step explanation:

To find a, the leading coeffiecent of the quadratic is a.

So a is 2.

To find b, we must use the formula

\( - \frac{b}{2a} \)

\( \frac{ - ( - 3)}{2(2)} = \frac{3}{4} \)

So b=3/4.

To find c, plug in 3/4 into the function,

which we get

\(2( \frac{9}{16} ) - 3( \frac{3}{4} ) + 21\)

\( \frac{9}{8} - \frac{9}{4} + 21 = \frac{9}{8} - \frac{18}{8} + 21 = - \frac{9}{8} + 21 = 19.875\)

So c=19.875

Answer:

27

32

27

Step-by-step explanation:

1) limit x->2 1/3[f(x)]^2= 27

2) limit x->2 3f(x)+5= 32

3) limit x->2 [f(x)]3/2= 27/2

"A limit is the value that a function approaches as the input approaches some value."

If limit f(x) = m and constant 'a',

limit a (f(x)) = a × m

limit (f(x))^n = (m)^n

limit (a) = a

limit (f(x) + a) = m + a

Given: limit x->2 f(x)=9.

We need to evaluate each limit.

1) limit x->2 1/3[f(x)]^2

⇒ \(\lim_{x \to 2} \frac{1}{3} (f(x))^2\)

= \(\frac{1}{3} \lim_{x \to 2} (f(x))^2\)

= \(\frac{1}{3} (\lim_{x \to 2} f(x))^2\)

= \(\frac{1}{3} \times (9)^2\)

= \(\frac{81}{3}\)

= 27

2) limit x->2 3f(x)+5

⇒ \(\lim_{x \to 2} (3f(x)+5)\)

= \(\lim_{x \to 2} 3f(x)+ \lim_{x \to 2} 5\)

= \(3\lim_{x \to 2} f(x) + 5\)

= \((3 \times 9)+5\)

=\(\bold{32}\)

3) limit x->2 [f(x)]3/2

⇒ \(\lim_{x \to 2} (f(x))\frac{3}{2}\)

= \(\frac{3}{2} \times (\lim_{x \to 2} f(x))\)

= \(\frac{3}{2} \times 9\)

= 27/2

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Answer:

The slope would be 7

it could also be represented as m = 7

The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

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Answer:

$2.50 left

Step-by-step explanation:

We know that Mario has $15.00 so what we can do is add up all the costs and then subtract by 15.

6.25 + 2.95 + 1.65 + 1.65 = 12.50

15.00 - 12.50 = 2.50

Answer:

22, Twenty Two

Step-by-step explanation:

A good way to look at multiplying 11 is that the number, if it’s under 10, will then be two of that number. For instance, 4 x 11 = 44, 6 x 11 = 66, and so on and so forth.

Hope This Helped!

Answer:

A) Yes, because the sum of any two side lengths is greater than the third side length.

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 4 + 8 = 12, which is greater than 10, and the other two combinations (4 + 10 and 8 + 10) also satisfy this rule. Therefore, the given side lengths do form a triangle.

Step-by-step explanation:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).

Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.

Here,

\(\bar x\) =1.267, s=1.23, n=30

The standard error is Se= 1.23/√30

= 0.2246

Item a:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

Item b:

Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.

\(\bar x\pm tS_c\)

\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479

\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861

Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.

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The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Answer:

the value of the test statistic is calculated as "T - distribution" with the formula;

t = (x-bar - μ)/(s/√n)

Step-by-step explanation:

We are told that the standard deviation is unknown. But normally, we use a z-distribution if the standard deviation is known.

However, in a hypothesis test for a population mean where the population standard deviation is unknown is still conducted in the same way like we do when we know the population standard deviation. The only difference in this case is that we will use the t-distribution rather than the standard normal z-distribution.

The t-distribution formula used is;

t = (x-bar - μ)/(s/√n)

If the x-intercepts of a function are 2 and 5, then f(2) = ____0___. and f(5) = ____0____. The x-intercepts, 2 and 5, are called the _zeros_ of the function.

The x-intercepts of a function y = f(x) are the values of x such that the graph of the function intercepts the x-axis, that means that are the values of x such that f(x)= 0

Then if 2 and 5 are x-intercepts of the function, then:

f(2) = 0

f(5)  =0

The x-intercepts are allso called the zeros of the function.

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