A jacket is on sale for $52 after a 35% discount. What is the original price?

Answer:

t is between 0.47 seconds and 4.02 seconds

Step-by-step explanation:

Given

[tex]Inequality: -4.9t^2+22t+0.75>10[/tex]

Required

Determine the values of t

[tex]-4.9t^2+22t+0.75>10[/tex]

Subtract 10 from both sides

[tex]-4.9t^2+22t+0.75 - 10 >10 - 10[/tex]

[tex]-4.9t^2+22t-9.25 >0[/tex]

Multiply through y -1

[tex]4.9t^2-22t+9.25 <0[/tex]

Solve t using quadratic formula:

[tex]t = \frac{-b \±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 4.9[/tex]

[tex]b = -22[/tex]

[tex]c = 9.25[/tex]

So, we have:

[tex]t = \frac{-(-22) \±\sqrt{(-22)^2 - 4*4.9*9.25}}{2 * 4.9}[/tex]

[tex]t = \frac{22 \±\sqrt{484 - 181.3}}{9.8}[/tex]

[tex]t = \frac{22 \±\sqrt{302.7}}{9.8}[/tex]

[tex]t = \frac{22 \±17.40}{9.8}[/tex]

Split the equation

[tex]t = \frac{22 + 17.40}{9.8}[/tex] or [tex]t = \frac{22 - 17.40}{9.8}[/tex]

[tex]t = \frac{39.4}{9.8}[/tex] or [tex]t = \frac{4.6}{9.8}[/tex]

[tex]t = \frac{39.4}{9.8}[/tex] or [tex]t = \frac{4.6}{9.8}[/tex]

[tex]t = 4.02[/tex] or [tex]t = 0.47[/tex]

Hence; the range is

[tex]0.47 < t <4.02[/tex]

Answer:

the prime factorization of 80 is 2⁴×5

Step-by-step explanation:

Answer:

80 is the answer

Step-by-step explanation:

2^4=16

16*5=80

Hope I helped you! :-)

Problem 9

List any three points that are on the same straight line.

So for example, you could say A, P and B. Or you could say C, P, and D. A third one you could do is J, D and K.

==============================

Problem 10

Now we're listing any three points that aren't on the same straight line.

One example of such triple is A, P and D. Another example is K, D, and C. There are many others as well.

==============================

Problem 11

List any four points that are in the same plane. So you'll pick four points from the set {A, B, C, D, P} to answer this question as these five points are all in the shaded plane R.

==============================

Problem 12

Pick any four points such that they do not all exist in the same plane. It doesn't matter which points you pick as long as J or K are one of the points selected. This is because neither J nor K are in the plane R.

===============================

Problem 13

Line JK intersects CD at point D. The other line that crosses CD is line AB.

Line AB is in plane R, while line JK intersects the plane at point D only.

===============================

Problem 14

Intersecting line JK and plane R results in point D. This is where the line and plane meet, as mentioned in the previous problem.

If you were asked to intersect line AB and plane R, then you would get line AB as a result. All of line AB is inside the plane.

Answer:

DCE

Step-by-step explanation:

you multiply

Algebraic expressions of the total amount of money spent by consumers for any number of Edge Control products is 0.45e.

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

The selling specialized Edge Control product that sold for $0.45 each

The providing a more accurate expression is one that multiplies e by how much was spent on each one.:

⇒  (0.45)(e)

⇒  0.45e

Hence, the algebraic expressions of the total amount of money spent by consumers for any number of Edge Control products is 0.45e.

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Answer: Matherens has the better price

Step-by-step explanation:

To find the better price, all we have to do is divide the price by the number of pounds to find how much one pound is for each store.

Matherens: 1.98 ÷ 3 = 0.66

That means 1 pound of bananas at Matherens is 66 cents.

Winn Dixie: 2.97 ÷ 4 = 0.74

That means 1 pound of bananas at Winn Dixie is 74 cents.

This means that Matherens is charging less per pound of banana.

Answer:

x=17

Step-by-step explanation:

Hope this helps

Answer:

part A 2.6+1.7+9.8-4.2=9.9

part B 6.7-9.9+22-28.46=9.66

Step-by-step explanation:

Part A

First find the square root.

the square root of 7 is 2.6

the square root of 3 is 1.7

the square root of 98 is 9.8

the square root of 18 is 4.2

Then: add and subtract them

2.6+1.7+9.8-4.2=9.9

Part B

I don't know how to explain the next part so I will just give you the answer

6.7-9.9+22-28.46=9.66

I hoped this helped

Step-by-step explanation:

1) angle 2 and 4

2)angle 2 and 3

3)angle 1 and 4

Hope it helps

Answer:

The value is  [tex]p- value  = 0.041815[/tex]

Step-by-step explanation:

From the question we are told that

  The  population mean is [tex]\mu  =  40 \ hours[/tex]

  The  sample size is  [tex]n  =  18[/tex]

    The  sample mean is  [tex]\= x =  37.8 \ hours[/tex]

   The standard deviation is  [tex]\sigma  = 5.4\ hours[/tex]

The null hypothesis is  [tex]H_o  :  \mu =  \ge 40[/tex]

The alternative hypothesis is  [tex]H_a  :  \mu < 40 \ hour s[/tex]

Generally the test statistic is mathematically evaluated as

       [tex]t=  \frac{\= x - \mu}{ \frac{\sigma}{ \sqrt{n} } }[/tex]

      [tex]t=  \frac{37.8 - 40}{ \frac{5.4}{ \sqrt{18 } }[/tex]

      [tex]t=  -1.73[/tex]

From the z - table the p-value is obtained and the value is  

      [tex]p- value  =  P(Z <  -1.73)[/tex]

        [tex]p- value  = 0.041815[/tex]

To test DullCo's hypothesis, the p-value is 0.041815 and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the p-value for DullCo's hypothesis:

Step 1 - The formula for t-statistics can be used in order to determine the p-value for DullCo's hypothesis.

Step 2 - The formula for t-statistics is given below:

[tex]t = \dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n} }}[/tex]

where the sample size is 'n', the standard deviation is [tex]\sigma[/tex], and the mean is [tex]\mu[/tex].

Step 3 - Now, substitute the values of [tex]\sigma[/tex], [tex]\mu[/tex], [tex]\bar{x}[/tex], and n in the above formula.

[tex]t = \dfrac{37.8-40}{\dfrac{5.4}{\sqrt{18} }}[/tex]

Step 4 - SImplify the above expression.

[tex]t = \dfrac{-2.2}{1.2727}[/tex]

[tex]t = -1.73[/tex]

Step 5 - Now, with the help of the z-table the p-value is:

[tex]\rm p-value = P(Z<-1.73)[/tex]

[tex]\rm p-value = 0.041815[/tex]

To test DullCo's hypothesis, the p-value is 0.041815.

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Answer:

2839.16

Step-by-step explanation:

119.92(m)+81=C(t)

119.92(23)+81=C(t)

2839.16=C(t)

The total cost will be equal to $2839.16. The expression to calculate the total cost is 119.92(m)+81=C(t).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a person buys a phone for ​$81 and signs up for a​ single-line phone plan with 2000 monthly anytime minutes. The plan costs ​$119.92 per month.

The expression will be formed as below:-

119.92(m)+81=C(t)

119.92(23)+81=C(t)

2839.16=C(t)

Therefore, the total cost will be equal to $2839.16.

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Answer:

35 i think

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

i belive the answer is b but im not 100% sure

Hey there! I'm happy to help!

Step 2 is incorrect. She added 4 and 2 first, but you are supposed to multiply and divide first. Then she multiplied 6 and 6, which is 36. Then she divided 36 and 2, which is 18, and then she subtracted 7, giving her 11. Step 2 is what threw the whole thing off.

Here is what Sandy should have done.

STEP 1: 6·4+2÷2-7

STEP 2: 24+1-7

STEP 3: 25-7

STEP 4: 18

I hope that this helps! Have a wonderful day! :D

Steps to solve:

6 * 4 + 2 / 2 - 7

~Multiply

24 + 2 / 2 - 7

~Divide

24 + 1 - 7

~Add

25 - 7

~Subtract

18

In step one, she added instead of multiplied which caused her to get the wrong answer.

Best of Luck!

Answer:

7.5000

Step-by-step explanation:

Answer: 3, 160 || 4, 320 || 5, 640 || 6, 1280

Step-by-step explanation:

The exponential function to model this situation is [tex]P(t) = 20\times 2^t[/tex]

An exponential function is a mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Given that, a scientist studying bacteria begins with 20 cells.

The bacteria population doubles every hour.

Let P(t) determines the population of the bacteria in 't' hours.

Hence, by the given information our function P(t) is modeled as:

[tex]P(t) = 20\times 2^t[/tex]

To find the population of the bacteria after 11 hours, put t = 11,

[tex]P(11) = 20\times 2^{11[/tex]

= 40,960

Hence the population of the bacteria after 11 hours will be 40,960.

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Answer:

36

Step-by-step explanation:

AOB + BOC = AOC

AOC = 90 since  the lines are perpendicular

6x-12 + 3x+30 = 90

Combine like terms

9x + 18 = 90

Subtract 18 from each side

9x+18-18 = 90-18

9x = 72

divide by 9

9x/9 = 72/9

x = 8

AOB = 6x - 12

         = 6*8 - 12

          = 48 -12

        = 36

Answer:

AOB = 36

Step-by-step explanation:

OA is perpendicular to OC

AOB + BOC = 90 ------------equation

where:

AOB = 6x - 12

BOC = 3x + 30

plugin values into the eq.

6x - 12 + 3x + 30 = 90

6x + 3x + 30 - 12 = 90

9x + 18 = 90

9x = 90 - 18

9x = 72

x = 72/9

x = 8

plugin values to AOB = 6x - 12

AOB = 6x - 12

AOB = 6(8) - 12

AOB = 36

Answer: 3x=-3 soooooo x= -1

Step-by-step explanation:

lmk for more info

Answer:

none of these have the solution of x = -4

Step-by-step explanation:

1 . 3x + 6 - 2x = -2 .    (combine like terms)

x + 6 = -2  (isolate the variable)

  -6     -6

x = -8    *x doesn't equal - 4*

2.  2(2 - 4) = 16    (distributive property)

2 - 8 = 16

-6 = 16

since theres no x in the equation its not a possible answer .

3 .  (x + 6) 3 = - 6  

this one also isn't a proper equation to find x

4.    -x + 4 = 3   (isolate the variable)

           -4    -4

-x = -1

/x .   /x

x= -1  

Answer:

£2112

Step-by-step explanation:

To find Gavin's share, sum the parts of the ratio, 4 + 1 = 5 parts

Divide the win by 5 to find the value of one part of the ratio.

£8800 ÷ 5 = £1760 ← value of 1 part of ratio, thus

4 parts = 4 × £1760 = £7040 ← Gavin's share

Now repeat the process with the ratio for his family

1 + 6 + 3 = 10 parts

£7040 ÷ 10 = £704 ← value of 1 part of the ratio, thus

6 × £704 = £4224 ← wife's share

3 × £704 = £2112 ← son's share

Difference = £4224 - £2112 = £2112

Thus his wife gets £2112 more than the son

Answer:

The correct option is c: 1.5 cm.

Step-by-step explanation:

The amplitude of the motion can be calculated using the following equation:

[tex] A = \frac{v}{\omega} [/tex]

Where:

A: is the amplitude

v: is the speed = 15 cm/s

ω: is the angular speed

First, we need to find the angular speed:

[tex] \omega = \frac{2\pi}{T} [/tex]

Where:

T is the period = 628 ms

[tex] \omega = \frac{2\pi}{T} = \frac{2\pi}{0.628 s} = 10.01 rad/s [/tex]

Now we can find the amplitude:

[tex] A = \frac{v}{\omega} = \frac{15 cm/s}{10.01 s} = 1.5 cm [/tex]

Therefore, the correct option is c: 1.5 cm.

I hope it helps you!                          

Answer:

interest = Amount-Principal= 2160-2000=160

Rate = Interest*100/(P*T)= 160*100/(2000*2)=4%

Step-by-step explanation:

Answer: C. Substitute a value of x into the equation of a regression line and solve for y

Step-by-step explanation: To predict y values using equation of the regression line, a given value of x is substituted into the equation as there are only two unknowns in the whole regression equation, which are the x value ( independent variable) and the y value (the dependent or predicted variable).

The regression equation is usually of the form:

y = mx + c (linear regression)

Where y = predicted or dependent variable

m = slope or gradient of the regression line

x = independent variable

c = intercept of the line (where it cross the y-axis)

Answer:

I'm not completely sure about the first one, but #8 is 0.0419, and #9 is 30500.

Answer:

67.31

Step-by-step explanation:

ahhshshshahaha

Answer:

The answer is 67.31

Step-by-step explanation:

Answer:

3/3 12/15 divided 3/3 = 4/3

An equivalent expression with fewer terms than 3x - 4 - (5x + 7) is - 2x - 11.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

3x - 4 - (5x + 7)

Expanding the brackets we get,

3x - 4 - (5x + 7) = 3x - 4 - 5x - 7

Taking alike terms together we get,

3x - 4 - (5x + 7) = 3x - 5x - 4 - 7

Solving we get,

3x - 4 - (5x + 7) = - 2x - 11

These are equivalent expression.

Thus, an equivalent expression with fewer terms than 3x - 4 - (5x + 7) is - 2x - 11.

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Answer:

20

Step-by-step explanation:

5 x 4 x 1