What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x? 1. The distributive property: 4x – 12 + 4 < 10 + 6x 2. Combine like terms: 4x – 8 < 10 + 6x 3. The addition property of inequality: 4x < 18 + 6x 4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________ x < –9 x > –9 x < x > –

Answer:

6

Step-by-step explanation:

72 divided by grops of 12 so 72/12 =6

if you are trying to find out what is s it is 864 if not then no i multipled 12 and 72 and got 864 and then i divieded it and it was right . Again sorry if this is not what you were looking for

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

[tex]f(t)=-16t^{2}+64t+4[/tex]

Where,

[tex]a=-16\\b=64\\c=4[/tex]

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

[tex]f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0[/tex]

Using the quadratic equation:

[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615[/tex]

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

[tex]f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0[/tex]

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

Answer: option B

Step-by-step explanation:

To solve this exercise you must apply the proccedure shown below:

- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).

[tex]b^m*b^n=b^{(m+n)}[/tex]

- Add the like terms.

Therefore, you obtain that the product is:

[tex](x^2+3x+4)(3x^2-2x+1)=3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4\\=3x^4+7x^3+7x^2-5x+4[/tex]

Answer:

B

Step-by-step explanation:

When multiplying [tex](x^2+3x+4)(3x^2-2x+1)[/tex], we can use the distributive property of multiplication over addition:

[tex](x^2+3x+4)(3x^2-2x+1)=x^2\cdot 3x^2+x^2\cdot (-2x)+x^2\cdot 1+3x\cdot 3x^2+3x\cdot (-2x)+3x\cdot 1+4\cdot 3x^2+4\cdot (-2x)+4\cdot 1=3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4.[/tex]

Now group the like terms:

[tex]3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4=3x^4+(-2x^3+9x^3)+(x^2-6x^2+12x^2)+(3x-8x)+4=3x^4+7x^3+7x^2-5x+4.[/tex]

Answer:

72.54°

Step-by-step explanation:

Given that triangle LMN is a right-angle triangle and LM=18 inches and LN =60 inches then;

applying the cosine rule

cos ∠L=Adjacent/hypotenuse

cos∠L=18/60

cos∠L=0.3

cos⁻¹ ∠L= 72.54°

Answer:

72.54°

Step-by-step explanation:

Answer:

y = 23

Step-by-step explanation:

Assuming the equation not below is y = mx + b form...

m = 4

x  = 3

b = 11

               y = 4(3) + 11

                   y = 12+ 11

                        y = 23

The required value of y = 23.

Given - m = 4
             x = 3
            b = 11

equation is the relationship between variable and represented as    is example of polynomial equation.

given equation

y = mx + b

y = 4x3 + 11
y = 12+11

y = 23

Thus, the required value of y = 23

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Answer:

David：£32

Dan：£40

Step-by-step explanation:

Answer:

[tex]P(x<4)=0.0994[/tex]

Step-by-step explanation:

If we call x the number of correct questions obtained in the 9 attempts, then:

x is a discrete random variable that can be modeled by a binomial probability distribution p, with n = 9 trials.

So, the p of x successes has the following formula.

[tex]P(x) =\frac{n!}{x!(n-x)!}*p^x(1-p)^{n-x}[/tex]

Where:

n = 9

p = 0.6

We are looking for P(x<4)

By definition:

[tex]P(x<4) = P(x\leq3) = P(0) + P(1) + P(2) +P(3)[/tex]

Then:

[tex]P(x\leq3)=\sum_{x=0}^{3} \frac{9!}{x!(9-x)!}*(0.6)^x(1-0.6)^{9-x}[/tex]

[tex]P(x\leq3)=0.0994[/tex]

Probabilities are used to determine the chances of an event

The probability that the number of correct answers is fewer than 4 is 0.0994

The given parameters are:

[tex]n = 9[/tex]

[tex]p =0.6[/tex]

The probability is a binomial probability, and it is calculated using:

[tex]P(x) = ^nC_x p^x (1 - p)^{n -x}[/tex]

Fewer than 4 means: x = 0, 1, 2 and 3

So, we have:

[tex]P(x<4) = ^9C_0 \times 0.6^0 \times (1 - 0.6)^{9 -0} +^9C_1 \times 0.6^1 \times(1 - 0.6)^{9 -1} +^9C_2 \times 0.6^2\times (1 - 0.6)^{9 -2} +^9C_3 \times 0.6^3\times (1 - 0.6)^{9 -3}[/tex]

This gives

[tex]P(x<4) = 1 \times 0.6^0 \times (1 - 0.6)^9 + 9 \times 0.6^1 \times(1 - 0.6)^8 +36 \times 0.6^2 \times (1 - 0.6)^7 +84 \times 0.6^3 \times (1 - 0.6)^6[/tex]

Using a calculator,

[tex]P(x<4) = 0.099352576[/tex]

Approximate

[tex]P(x<4) = 0.0994[/tex]

Hence, the probability that the number of correct answers is fewer than 4 is 0.0994

Read more about binomial probabilities at:

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Answer:

y/2

Step-by-step explanation:

(x+3)/3=(y+2)/2

(x+3-3)/3=(y+2-2)/2   adding the denominator to numerator

x/3=y/2

Mrs. Eskew will have $1,841,395 left after subtracting the vacation expense of $278,389 from her initial savings of $2,119,784.

The student is asking how much money Mrs. Eskew will have left after spending part of her savings on a vacation. To find out, we simply need to subtract the amount spent on the vacation from the total amount she had saved. Mrs. Eskew started with $2,119,784 in the bank. After spending $278,389 on her vacation, we can calculate her remaining balance as follows:

$2,119,784 - $278,389 = $1,841,395.

Therefore, Mrs. Eskew will have $1,841,395 left after her vacation.

Answer:

[tex]\boxed{\bold{6x^2+5x-\frac{4}{15}}}[/tex]

Explanation:

[ Step One ] Remove Parenthesis: (a) = a

[tex]\bold{8x^2-3x+\frac{1}{3}-\left(2x^2-8x+\frac{3}{5}\right)}[/tex]

[ Step Two ] Simplify: [tex]\bold{-\left(2x^2-8x+\frac{3}{5}\right): \ -2x^2+8x-\frac{3}{5}}[/tex]

[tex]\bold{8x^2-3x+\frac{1}{3}-2x^2+8x-\frac{3}{5}}[/tex]

[ Step Three ] Simplify [tex]\bold{8x^2-3x+\frac{1}{3}-2x^2+8x-\frac{3}{5}: \ 6x^2+5x+\frac{1}{3}-\frac{3}{5}}[/tex]

[tex]\bold{6x^2+5x-\frac{4}{15}}[/tex]

[ [tex]\boxed{\bold{Final \ Answer}}[/tex] ]

➤ [tex]\bold{6x^2+5x-\frac{4}{15}}[/tex]

[tex]\boxed{\bold{Mordancy}}[/tex]

Answer:

P =  8.5 x + 3  ft

Step-by-step explanation:

To find the perimeter, we use the formula

P =2(l+w) where l is the length and w is the width

P =2 (1.25x+3 + 3x-1.5)

Combine like terms

P = 2( 4.25x +1.5)

Distribute the 2

P =  8.5 x + 3  ft

The perimeter of the rectangle in terms of x is [tex]\( {\frac{17}{2}x + 3} \)[/tex].

Given the width of the rectangle is (3x - 1.5) feet and the length is  (1.25x + 3) feet, we can substitute these expressions into the perimeter formula.

First, let's express the width and length in terms of xwith rational numbers to avoid dealing with decimals:

 Width [tex]\( w = 3x - \frac{3}{2} \)[/tex]

Length [tex]\( l = \frac{5}{4}x + 3 \)[/tex]

Now, we can calculate the perimeter:

[tex]\( P = 2(l + w) \)\\ \( P = 2 \left( \left( \frac{5}{4}x + 3 \right) + (3x - \frac{3}{2}) \right) \)\\ \( P = 2 \left( \frac{5}{4}x + 3 + 3x - \frac{3}{2} \right) \)\\ \( P = 2 \left( \frac{5}{4}x + 3x + 3 - \frac{3}{2} \right) \)\\ \( P = 2 \left( \frac{5}{4}x + \frac{12}{4}x + \frac{6}{2} - \frac{3}{2} \right) \)\\ \( P = 2 \left( \frac{17}{4}x + \frac{3}{2} \right) \)\\ \( P = 2 \times \frac{17}{4}x + 2 \times \frac{3}{2} \)\\ \( P = \frac{34}{4}x + 3 \)\\ \( P = \frac{17}{2}x + 3 \)[/tex]

perimeter =  [tex]\( {\frac{17}{2}x + 3} \)[/tex].

Answer:

4

Step-by-step explanation:

Since the value of the total prism is 28, and you know that there are two sides which are 2 from 2x1. Then you can subtract 4 from 28. You would have 4 sides left, 2 of which are px1 and the other 2 are 2xp. The total results would be 2p+4p which is 6p=24.

Answer:

Simplify √ 105  

A. 2√ 7  

B. 2√ 3  

C. √ 105

D. √ 42

Step-by-step explanation:

Answer:

[tex]\sqrt{105}[/tex]

Step-by-step explanation:

I'm not 100% sure why, but I looked it up on a scientific calculator.

Hope it helps, : )

.:!LightningBug!:.

Answer: It is a function.

Step-by-step explanation:

By definition,  a function is a relation in which the input value (the x value) has one and only one output value (value of y).

The first number of each ordered pair is the input value and the second number of each ordered pair is the output value.

As you can see, the inputs value of the relation given in the problem have one and only one output value. Therefore, you can conclude that the relation is  a function.

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = -4 and the point M(-2, 1).

The equation of a line:

[tex]y=-4x+b[/tex]

Put the coordinates of the point M to the equation of a line:

[tex]1=-4(-2)+b[/tex]

[tex]1=8+b[/tex]      subtract 8 from both sides

[tex]-7=b\to b=-7[/tex]

Finally:

[tex]y=-4x-7[/tex]

Answer:

15/36

Step-by-step explanation:

One hack that I used is I looked at all of the options in the first row and added the number one less 6 times

I basically did

5+(5-1)+(5-2)+(5-3)+(5-4)

5+4+3+2+1

15

Answer:

A. V=BH

Step-by-step explanation:

The exact volume email of the cylinder in the image is 324π in³.

This is calculated using the formula for the volume of a cylinder:

Volume = πr²h

where:

π is a mathematical constant with the approximate value of 3.14

r is the radius of the cylinder

h is the height of the cylinder

In the image, the radius of the cylinder is 3 in and the height is 6 in. Therefore, the volume of the cylinder is:

Volume = π(3 in)²(6 in)

Volume = π(9 in²)(6 in)

Volume = 54π in³

However, the image also contains the text 324π in³.

This is the correct volume of the cylinder, as it takes into account the fact that the cylinder is hollow.

Therefore, the exact volume email of the cylinder in the image is 324π in³.

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she can buy b and e because they are less than 50 dollars

Answer:

3 tens and 1 ones

Step-by-step explanation:

3 tens would be

3 x 10

which is 30

and 1 one is 1

30 + 1 = 31

Hope this helps! Please mark Brainliest! Thanks!!

Answer:

The first alternative is correct

Step-by-step explanation:

We move all the expressions to the left hand side of the inequality then combine like terms using lcm;

[tex]\frac{3}{1}+\frac{4}{x}-\frac{x+2}{x}\geq0\\\\\frac{3x+4-(x+2)}{x}\geq0\\\frac{2x+2}{x}\geq0[/tex]

Answer:

the first one

Step-by-step explanation:

Express the left side as a single fraction

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

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

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

Subtract [tex]\frac{3x+4}{x}[/tex] from both sides

0 ≥ [tex]\frac{x+2}{x}[/tex] - [tex]\frac{3x+4}{x}[/tex]

0 ≥ [tex]\frac{-2x-2}{x}[/tex]

Multiply both sides by - 1, remembering to reverse the inequality symbol as a consequence

0 ≤ [tex]\frac{2x+2}{x}[/tex], hence

[tex]\frac{2x+2}{x}[/tex] ≥ 0

Kelly's estimated monthly payroll tax is $475.94, which is found by adding together all of her weekly taxes and then multiplying by the average number of weeks in a month.

To estimate the amount of payroll tax Kelly pays each month, we first need to find out how much she pays weekly and then multiply it by the number of weeks in a month on average.

Firstly, we add together all of the weekly taxes she pays, which includes federal income tax ($68.45), state income tax ($22.81), and other taxes ($18.75). The sum equals $110.01.

Then, to convert this weekly tax to a monthly estimation, we multiply by an average of 4.33 weeks in a month (since not every month is precisely 4 weeks). Therefore, $110.01 * 4.33 is approximately $475.94.

Therefore, the best estimation for the monthly payroll tax that Kelly pays is $475.94.

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Step-by-step explanation:

The total amount of sandwiches on the tray is 4+7+6. This makes 17. This will be the denominator of our fraction which we are going to use for the probability.

There are 7 ham sandwiches on the tray, therefore the probability that he will pick a ham sandwich is 7/17.

Brainliest? :)

Final answer:

The probability that Danny picked a ham sandwich is 7/17, since there are 7 ham sandwiches out of a total of 17 sandwiches on the tray.

Explanation:

The question is about calculating the probability that Danny picked a ham sandwich. To determine this, we count the total number of sandwiches and then count the number of ham sandwiches.

Total number of sandwiches = 4 turkey + 7 ham + 6 tuna = 17 sandwiches.

Since there are 7 ham sandwiches, the probability (P) that Danny picks a ham sandwich is calculated by dividing the number of ham sandwiches by the total number of sandwiches.
P(ham sandwich) = Number of ham sandwiches / Total number of sandwiches
P(ham sandwich) = 7 / 17

Therefore, the probability that Danny picked a ham sandwich is 7/17.

Answer:

Linear

Step-by-step explanation:

It is linear because it is a straight line.

Answer:

Linear

Step-by-step explanation:

The function is linear because it is a straight line.

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}\\x^{2}=100\\x=10\ in[/tex]

9, it’s further from the common area of plots

Answer:

9

Step-by-step explanation:

an outlier is an observation point that is distant from other observations

Given is - the monthly maintenance costs have an average of $3500 and a standard deviation of $257. This means that around 95% of the distributed data lies within the ranges of -257 to +257 of the given standard deviation.

Hence, range becomes :

[tex]3500-257=3243[/tex] and [tex]3500+257=3757[/tex]

Thus, the range is (3243 , 3757)

Answer:

(2996.28, 4003.72)

is 95% range.

Step-by-step explanation:

Given is -

the monthly maintenance costs have an average of $3500 and a standard deviation of $257.

If X denotes the monthly maintenance costs of the company then

X is N(3500,257)

To find out 95% of the range we have Z critical = 1.96

So lower bound of range[tex]= 3500-1.96*257[/tex] and

Upper bound [tex]= 3500+1.96*257[/tex]

Hence, range becomes :

(2996.28, 4003.72)

I hope this helps :)

Answer:

option D

Brianna

Step-by-step explanation:

Given in the question the expression wrote by Mr.Walden

[tex]\frac{p^{-5} }{q^{0} }[/tex]

To write the simplified form of this expression we will use negative rule of exponent

[tex]b^{-n}[/tex]= 1 / [tex]b^{n}[/tex]

[tex]q^{-5} = \frac{1}{q^{5} }[/tex]

so,

[tex]\frac{1}{q^{5} x q^{0} }[/tex]

[tex]\frac{1}{q^{5} p^{0} }[/tex]

Only Brianna wrote right simplification of the expression written by Mr.Walden

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points P(4, 1) and Q(3, -5). Substitute:

[tex]m=\dfrac{-5-1}{3-4}=\dfrac{-6}{-1}=6[/tex]

The refore we have the equation:

[tex]y=6x+b[/tex]

Put the coordinates of the point P(4, 1) to the equation:

[tex]1=6(4)+b[/tex]

[tex]1=24+b[/tex]          subtract 24 from both sides

[tex]-23=b\to b=-23[/tex]

Finally we have the equation:

[tex]y=6x-23[/tex]