Half of the product of two consecutive numbers is 105. which equation can be used to solve for n, the smaller of the two numbers? n2 n – 210 = 0 n2 n – 105 = 0 2n2 2n 210 = 0 2n2 2n 105 = 0

Answer:

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

Answer:

CE = 6

Step-by-step explanation:

we use the proportion relationship:

[tex]\frac{AB}{BD} = \frac{AC}{CE\\}\\then[/tex]

[tex]\frac{2}{3} = \frac{4}{CE}\\\\then[/tex]

2×CE = 3 ×4 (cross multiply)

then

2×CE = 12

then

CE = 12/2 = 6

The values of the coefficients and constant are 1, -8 and -5

Standard quadratic equation

The standard quadratic expression is given as:

y = ax^2 + bx + c

where a, b and c are the constant

Given the quadratic function f(p) = p2 – 8p – 5, on comparing:

a = 1

b = -8

c = -5

Hence the values of the coefficients and constant are 1, -8 and -5

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Answer: d=-2

Step-by-step explanation:

As we know the order of operations are

1) Parenthesis/Brackets

2) Exponents

3) Multiplication/Division

4) Addition/Subtraction

However, when you solve equations you must do the order of operations backwards

So start by adding 1 to both sides because whatever you do to one side of the equation you must do to the other side

[tex]5d-1=-11\\5d-1+1=-11+1\\5d=-10[/tex]

Now divide both sides by 5 to isolate d

[tex]5d=-10\\\frac{5d}{5} =\frac{-10}{5} \\d=-2[/tex]

Considering the dilation, the surface area of the rectangular prism is of 0.432 units².

The surface area of a rectangular prism of dimensions l, w and h is given by:

Sa = lwh.

In this problem, the dilation means that all dimensions are divided by 5, hence they will be considered as:

w = h = 0.6, l = 1.2.

Hence the surface area of the prism will be of:

Sa = lwh = 1.2 x 0.6 x 0.6 = 0.432 units².

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The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

An equation is an expression that shows the relationship between two or more variables and numbers.

The solid below is dilated by a scale factor of 5. Hence:

New length = 6 * 5 = 30, new width = 3 * 5 = 15, new height = 3 * 5 = 15

Surface area = 2(30 * 15 + 30 * 15 + 15 * 15) = 2250 unit²

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

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Answer:

308 minutes or 5 hours and 8 minutes

Step-by-step explanation:

First, let's add the bicycles of both boys and girls together:

6 + 8 = 14

Now, let's multiply that number by 22 since she will have to assemble all of those bicycles and it will take 22 minutes for each:

22 x 14 = 308

It will take a total of 308 minutes or 5 hours and 8 minutes to assemble all of those bicycles.

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a  (x^5-3x -3 - 24x/(x²-5)) polynomial.

Quotients are the number that is obtained by dividing one number by another number.

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.

(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5

p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)

= x^5 -3x - 3 - 24x/(x² - 5)

x^5 3x³ + 15x

x^5 - 3x² - 24x + 15

x^5 - 3x² + 15

0 - 24x + 0

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Answer: C

Step-by-step explanation:

Answer:

the answer is (C) DOL

Step-by-step explanation:

Answer:

The number of times people got cheese and wheat is 1200

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer:

[tex]\sf \dfrac{12}{19}[/tex]

Step-by-step explanation:

To begin, add the column and row totals to the table (see attachment).

Let W = Wheat

Let C = With cheese

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(W)=\dfrac{1900}{3125}=\dfrac{76}{125}[/tex]

[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]

[tex]\implies \sf P(W \cap C)=\dfrac{1200}{3125}=\dfrac{48}{125}[/tex]

As the events W and C are not independent, we can use the formula:

[tex]\sf P(C\: | \:W)=\dfrac{P(W \cap C)}{P(W)}[/tex]

Substituting the values into the formula:

[tex]\sf P(C\: | \:W)=\dfrac{\frac{48}{125}}{\frac{76}{125}}=\dfrac{48}{76}=\dfrac{12}{19}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is 4

If we take value of x as 6 in the given function, then we will get the value of y as 4, as shown in the graph.

Answer:

30ft³

Step-by-step explanation:

asuming it has the shape of a rectangular prism

formula would be

V=whl

step 1 swap the numbers

V= (2)(5)(3)

step 2 multiply

V= 30

step 3 add the labels

V=30ft³

Answer:

answer a

Step-by-step explanation:

thats rlly the only one that makes sense to me, i really hope this will help <3

The expression that Yuri should write will be t < -3. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The temperature on a winter day was less than –3 degrees Fahrenheit.

Yuri wants to write an inequality for the temperature on the winter day.

Yuri uses the variable t to represent the temperature.

The sign used for less than is " < ".

t < -3

The expression that Yuri should write will be t < -3.

Then the correct option is C.

More about the inequality link is given below.

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Answer: 12

Step-by-step explanation:

[tex]\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}[/tex]

[tex]\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}[/tex]

[tex]\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}[/tex]

[tex]\begin{pmatrix}11&13&14&12\\ 1&2&2&3\end{pmatrix}[/tex]

[tex]\mathrm{The\:most\:common\:element\:in\:the\:list\:is\:12}[/tex]

Answer:

I'm sure It's 12

Step-by-step explanation:

To find the mode, order the numbers lowest to highest and see which number appears the most often.

11, 12, 12, 12, 13, 13, 14, 14

11=1

12=3 is the most common element

13=2

14=2

Answer:

210

Step-by-step explanation

One yard is equal to 3 feet so the simplest way is to divide the number of feet by 3 and that will give you your answer.

Answer:

210

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

21 and 32 are the numbers

Step-by-step explanation:

Let assume that the the two numbers are X and Y and that X is the large number.

According to the question,

X + Y = 53 .................. Equation 1

then,  X = 11 + Y........... Equation 2

Substitute equation 2 into equation 1.

[11 + Y] + Y = 53

11 + 2Y = 53

2Y = 53 - 11 = 42

2Y = 42

Y = 42 / 2 = 21,

Therefore, Y = 21 [Small number].

According to equation 1,

X +Y = 53

X + 21 = 53

X = 53 - 21 = 32.

Therefore, X = 32 [Big number]

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The account which is earning compount interest will earn $41.19 more on interest.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

[tex]\text{Simple Interest}= \dfrac{P \times R \times T}{100}[/tex]

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The interest on account S which earns simple interest at rate of 4.5% can be written as,

[tex]\text{Interest in Account S}= \dfrac{P \times R \times T}{100} = \dfrac{\$400 \times 4.5 \times 10}{100} = $180[/tex]

The interest on accout C which earns compound interest at a rate of 4.5% can be written as,

[tex]\text{Interest in Account C}=P(1+r\%)^n - P\\[/tex]

[tex]\text{Interest in Account C}=\$400(1+4.5\%)^{10} - $400 = $221.19[/tex]

The difference in the amount earned by the two account will be,

[tex]\rm Difference = (Interest\ in\ Account\ C) -(Interest\ in\ Account\ S)[/tex]

                [tex]=\$221.19 - \$180\\\\=\$ 41.19[/tex]

Hence, the account which is earning compount interest will earn $41.19 more on interest.

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Step-by-step explanation:

remember. the radius is always half the diameter.

volume of a cylinder

pi × r² × height

pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³

volume of a sphere

4/3 × pi × r³

and that volume should be the same as the cylinder. so,

4/3 × pi × r³ = pi×56.25×48

4/3 × r³ = 56.25 × 48

1/3 × r³ = 56.25 × 12

r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025

[tex]r = \sqrt[3]{2025} [/tex]

which would be 12.65148998... in.

Answer:

four spaces to the left, and 6 spaces up.

The solution of the given quadratic equation are,

[tex]x=\frac{-5-\sqrt{57} }{2}[/tex],[tex]x=\frac{-5+\sqrt{57} }{2}[/tex]

The equation to solve is given as

[tex]x^2=-5x+8[/tex]

Rearrange the given equation in standard form, [tex]ax^2+bx+c=0[/tex]

where,  a,b and c are constants.

Therefore, we add 5x-8 on both sides to get,

[tex]x^2+5x-8=0[/tex]

Here, a=1,b=5 and c=-8

The solution to the above equation is

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

Use the value of a,b,c in the quadratic formula and solve for x

[tex]x=\frac{-5\±\sqrt{5^2-4(1)(-5)} }{2(1)}[/tex]

[tex]x=\frac{-5\±\sqrt{25+35} }{2(1)}[/tex]

[tex]x=\frac{-5\±\sqrt{57} }{2(1)}[/tex]

Therefore, the solutions are

[tex]x=\frac{-5-\sqrt{57} }{2},x=\frac{-5+\sqrt{57} }{2}[/tex]

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Answer:

answer is b

Step-by-step explanation:

Answer:

2d - 9.

Step-by-step explanation:

That would be

double d = 2d

subtract  9 = -9   to give:

2d - 9.

Answer:

b=2 and c=6

Step-by-step explanation:

According to the question,

a+b=c

Let b=2 and c =6 then, we get,

4+2=6

or, 6=6

proved

Answer:

A

Step-by-step explanation

Dilation: A shape is scaled up or down by a scale factor

Translation: A shape is moved on a coordinate plane to a different spot.

A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.

Answer:

B.  The value of [tex]\sqrt{8}[/tex] is between 2.5 and 3.

Step-by-step explanation:

The square root of 8 is 2.83

Answer:

4 hours.

Step-by-step explanation:

2/3 * 6

= 12/3

= 4 hours.

Answer:

4

Step-by-step explanation:

Hope this helps <3

try to stay out of trouble lol

Answer:

Volume of Cube = length cube

Total surface area=2(lb+lh+bh)

Volume of Cuboid=l×b×h

I think it will help you.

Answer:

61-33...

Step-by-step explanation:

If he gave away 61 from his 33 then its 61-33