five more than the product of 14 and a number in algebraic expression

Answer:

[tex]5 {y}^{2} - 80[/tex]

Step-by-step explanation:

The given polynomials are:

[tex]5 {y}^{2} - 80[/tex]

and

[tex]y + 4[/tex]

Let us factor the first polynomial to get:

[tex]5 {y}^{2} - 80 = 5( {y}^{2} - 16)[/tex]

We need to rewrite as difference of two squares:

[tex]5 {y}^{2} - 80 = 5( {y}^{2} - {4}^{2} )[/tex]

We can now factor to get:

[tex]5 {y}^{2} - 80 = 5( {y} - 4)(y + 4)[/tex]

So the least common multiple of

[tex]5( {y} + 4)(y - 4) \: and \: (y + 4) \: is \: 5( {y} + 4)(y - 4) = 5 {y}^{2} - 16[/tex]

l

Answer:

True

Step-by-step explanation:

The nature of roots of a quadratic equation are determined by

[tex] {b}^{2} - 4ac[/tex]

where a, b, and c are the coefficients of the quadratic equation

[tex]a {x}^{2} + bx + c = 0[/tex]

Therefore it is true that, the roots of a quadratic equation depend on the values of the coefficients.

Answer:

56.14%

Step-by-step explanation:

Answer: 56.140350877193%

Step-by-step explanation:covert fraction (ratio) 32/57 that’s how you get your answer.

Answer:

[tex]\leq[/tex]11

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

Answer:

[tex]0.236[/tex]

Step-by-step explanation:

The total number of cats in a local cat show is 250

Of these, 73 are orange, 11 are white, 80 are black, 27 are calico, 50 are gray, and 9 are tuxedo.

The probability of a

randomly selected cat from the show will be gray or tuxedo is

[tex] = \frac{50}{250} + \frac{9}{250} [/tex]

We simplify to get:

[tex] = \frac{50 + 9}{250} [/tex]

[tex] = \frac{59}{250} [/tex]

[tex] = 0.236[/tex]

To find the probability of selecting a gray or tuxedo cat in a cat show, add the number of gray and tuxedo cats, then divide by the total number of cats.

The probability that a randomly selected cat from the show will be gray or tuxedo is calculated by adding the number of gray cats and tuxedo cats, then dividing by the total number of cats.

Number of gray cats = 50

Number of tuxedo cats = 9

Total number of gray or tuxedo cats = 50 + 9 = 59

Probability = Number of gray or tuxedo cats / Total number of cats

Probability = 59 / 250 ≈ 0.236

d(4) = 64

Step-by-step explanation:

Step 1:

d(n)=d(n−1)+17 ​

d(2) = d(1) +17

       = 13+17

        = 30

d(3) = d(2) + 17

       = 30+17

       =47

Step 2:

d(4) = d(3) + 17

       = 47+17

       = 64

Answer: the number is 8. hope it helps please give me brainliest!

Step-by-step explanation:

so the equation is 1+3x=5x-15       x= the number

-1 from both sides

3x=5x-16

-5x from both sides

-2x=-16

divide both sides by -2 to get x by itself

x=8

Answer:

97+70+89+99+100+78+79+77+72=85

Answer:

16%

Step-by-step explanation:

Percentage of the tip is the tip divided by the original bill and the result multiplied by 100%

That’s

$11.43/$73.57 x 100%

0.1554 x 100%

15.54

16%

The tip was 16% of the original bill

The tip was about 16% of the total bill. This was calculated by dividing the tip amount by the total bill, multiplying by 100 to get a percentage, and then rounding to the nearest whole percent.

To find out what percentage the tip was of the original bill, you would divide the amount of the tip by the total bill before the tip, and then multiply that number by 100 to get a percentage. Here's how you would calculate it in this case:

So, the tip was about 16% of the total bill.

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Answer: You will need to put a protractor over the paper for me to answer the first one because I can only answer with protractors

Step-by-step explanation:

Answer:

apd=115

cpe=25

bpd=65

Step-by-step explanation:

The radius of a circle is half the length of the diameter, and the circumference is the perimeter of the circle. However, the circumference is not triple the radius, and the diameter is not triple the length of the radius.

In the context of Mathematics, particularly geometry, the following statements are indeed true about the components of a circle:

However, the statements that the circumference is triple the radius, to find the circumference multiply it by the diameter, and the diameter is triple the length of the radius, are incorrect. The circumference of a circle is calculated as 2πr (two times the radius times Pi), and the diameter is twice the length of the radius, not triple.

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Answer:

$31.37 is the sale price

Step-by-step explanation:

All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.

1. Store A. 40% off the original price of $159.99

[tex](159.99 * .40) = 63.996[/tex]

63.996 is the discount price we are looking for

2. Store B. 25% off the original price of $130.50

[tex](130.50 * .25) = 32.625[/tex]

32.625 is the discount price we are looking for

3. Now to find their difference you just subtract the two values.

[tex]($63.996 - $32.625) = $31.371[/tex]

The discount price (sale price) is $31.371

Answer:

[tex]answer = \frac{2}{3} [/tex]

[tex] \frac{2}{9} \times \frac{3}{1} \\ = \frac{6}{9} = \frac{2}{3} [/tex]

Answer:

it is 2/3

since your multiplying a fraction times 3 you should put it over 1 to make it a fraction and then just multiply across and simplify hope this helps!!

Answer:

On graph Y is vertical line and the intercept is where it matches x ,  as x is horizontal and always first to find. The usual equation to find x = 0 will always give you the y value in the given equation.

Step-by-step explanation:

Answer:

4 pounds?????

Step-by-step explanation:

(NOT QUITE SURE WHAT THE QUESTION WAS SO MAY BE WRONG)

7 - 3 = 4 pounds????

The answer depends on the number of puppies that weigh 3 pounds and 7 pounds. If 'x' puppies weigh 3 pounds and 'y' puppies weigh 7 pounds, the number of 3 pound puppies that outweighed the 7 pounds ones can be found by subtracting 'y' from 'x'.

The phrasing of the question is a bit unclear. If we assume 'How many more puppies weighed 3 pounds than 7 pounds?' is the question, it's not possible to answer without the number of puppies that weigh 3 pounds and the number of puppies that weigh 7 pounds. Let's say you have 'x' puppies that weigh 3 pounds and 'y' puppies that weigh 7 pounds. The number of puppies that weigh more at 3 pounds than 7 pounds would be calculated as 'x' minus 'y'. If you have specific numbers to replace 'x' and 'y', substitute them in to find the number of puppies weighing more at 3 pounds.

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Answer:

[tex]\huge\boxed{x=1\ \vee\ x=2}[/tex]

Step-by-step explanation:

[tex]3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}[/tex]

[tex]\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}[/tex]

Final answer:

To solve the given equation involving exponents, convert 3^(x+1) and solve as a quadratic equation.

Explanation:

The equation is: 3^(2x) - 4*3^(x+1) + 27 = 0. To solve this, we can use the rules of exponents to change 3^(x+1) into 3*3^x.

Step-by-step solution:

Substitute 3^(x+1) with 3*3^x in the equation.

Now, you have a quadratic equation in terms of 3^x, solve it to find the value of 3^x.

Once you find the value of 3^x, proceed to find the value of x.

Answer: volume is 26.9

Step-by-step explanation:

Volume of a cone is calculated by V=πr^2h/3

Where π is a constant, with value of 3.14

h is height, given as 8.4

r is radius, radius = diameter ÷ 2

Since Diameter is given as 3.5, radius = 3.5/2 = 1.75

Slot the values into the formula

V= 3.14 x 1.75^2 × 8.4/3

= 3.14 x 3.06 x 2.8

=26.9

I hope this helps.

Answer:

0.416

Step-by-step explanation:

A scale drawing is a drawing made with proportionate scaling. It helps represent objects or spaces accurately and proportionally.

A scale drawing is a drawing that is done with a scale so that specific small units of measure represent larger units of measure. Scale drawings are used to represent objects or spaces proportionally, aiding in visualizing and understanding relationships between different elements.

Correct answer for the above question is - option B. 86°

Step-by-step explanation:

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Angle POQ is  86°

Thus we can conclude option B as correct answer.

The measure of the angle POQ is  86°

From the question, we are given the following parameters;

Given:  

Required  

∠POQ = ?  

To get the unknown angle ∠POQ, we will use the expression below:

 ∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Therefore the measure of the angle POQ is  86°

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Answer:

Step-by-step explanation:

does it have to be right?

Answer:

B. 1/10 i think c:

Step-by-step explanation:

Answer: 0.65   I think 1/10

Step-by-step explanation: You find 25% of 1,  (.25), then add 2/5

In the problem, we need to find the greatest common factor (GCF) of 27 and 36, which are the number of toys Joey has. The GCF is the highest number that can divide two numbers without a remainder. Factoring out, we see that the GCF is 9, and thus, Joey can put 9 toys in each bin.

The subject of this question is Mathematics, specifically the area of greatest common factor (GCF). We have to find the greatest number of toys that can be evenly distributed in bins using 27 trucks and 36 boats.

To solve this problem, we need to determine the GCF of 27 and 36. The GCF is the largest number that can divide two numbers without a remainder. Factoring out 27 and 36, we find that their common factors are 1, 3, and 9, with 9 being the largest. Therefore, the greatest number of toys Joey can put in a single bin without mixing the toy types is 9.

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Answer:

(3,6) if (-3,-6) is reflected off the y-axis

Answer:

A. 4r=v

Step-by-step explanation:

It says that she ate 4 times as many as Reagen and r represents the number that Reagen at so it would be 4r. While v represents how many Olivia ate which is 4r so 4r = v.

Answer:

A.4r = v

Step-by-step explanation:

Because is really asking for a ratio so the comparison of two objects

so if Olivia ate  four times as much as Reagan then first start off by finding the variables which is  R and V .R is how much Reagan ate well we know she at 4 times more than Olivia so 4R and now you gotta figure V how much Olivia ate so 4R = V

if you need any more help let me know ...

Option D: [tex]1176 \pi \ {m}^{3}[/tex] is the volume of the cylinder

Explanation:

Given that the cylinder has a radius of 14 m and a height of 6 m

We need to find the exact volume of the cylinder.

The formula to determine the volume of the cylinder is given by

[tex]Volume=\pi r^{2} h[/tex]

Let us substitute [tex]r=14[/tex] and [tex]h=6[/tex] in the above formula, we have,

[tex]Volume=\pi (14)^{2} (6)[/tex]

Squaring the terms, we get,

[tex]Volume=\pi (196)(6)[/tex]

Multiplying we have,

[tex]Volume=1176\pi \ m^3[/tex]

Thus, the volume of the cylinder is [tex]1176 \pi \ {m}^{3}[/tex]

Therefore, Option D is the correct answer.

The equivalent value of the expression is A = ( 10x² - 4 ) - ( 7x² + 3 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 3x² - 7   be equation (1)

On simplifying , we get

Let the second expression be represented as B

where B = ( 10x² - 4 ) - ( 7x² + 3 )

On simplifying , we get

B = 10x² - 4 - 7x² - 3

B = ( 10x² - 7x² ) - ( 4 + 3 )

B = 3x² - 7

Therefore , the value of B = A

Hence , the expression is B = ( 10x² - 4 ) - ( 7x² + 3 )

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Answer:

The answer is 16

Step-by-step explanation:

Answer:

175.93cm²

Step-by-step explanation:

Answer: 175.929 yd^2

Step-by-step explanation: