Solve this quadratic equation using factorization
8xsquared-14x-4=0

Answer: 10

a=27-5-12=10

A= (27-5)=22-12=10

A=10

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{1}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

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

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

[tex]m=\dfrac{4-5}{-1-(-3)}=\dfrac{-1}{2}=-\dfrac{1}{2}[/tex]

Answer:

[tex]29\sqrt{5}[/tex]

Step-by-step explanation:

We want to simplify:

[tex]11\sqrt{45}-4\sqrt{5}[/tex]

We need to simplify the first radical before we can subtract

[tex]11\sqrt{9\times5}-4\sqrt{5}[/tex]

[tex]11\sqrt{9} \times\sqrt{5}-4\sqrt{5}[/tex]

This implies that:

[tex]11\times 3\times\sqrt{5}-4\sqrt{5}[/tex]

[tex]33\sqrt{5}-4\sqrt{5}[/tex]

We have now obtained like surds.

We simplify to get:

[tex]29\sqrt{5}[/tex]

Answer:

$152.50

Step-by-step explanation:

Moths   savings

Sep        $145.00

Oct        $166.00

Nov       $204.00

Dec       $180.00

Jan       $70.00

Feb      $150.00

Now we are supposed to find hat did Harry save per month on average

So, Mean = [tex]\frac{\text{Sum of all savings}}{\text{Total no. of months}}[/tex]

Mean = [tex]\frac{145+166+204+180+70+150}{6}[/tex]

Mean = [tex]\frac{915}{6}[/tex]

Mean = [tex]152.50[/tex]

So, Option A is correct.

Hence Harry saved $152.50 per month.

Answer:

4 cm is the correct answer

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=106.76 \end{cases}\implies 106.76=2\pi r \\\\\\ \cfrac{106.76}{2\pi }=r\implies 33.98\approx r[/tex]

Answer:

Radius= 16.991381724491

Step-by-step explanation:

Circumference:106.76

Diameter:33.982763448981

Multiply her pay by the FICA tax rate:

325 x 0.0625 = $20.31

Now look in the table for her pay and then find her number of deductions ( 2) and find what the corresponding number is, then add that to her tax.

See picture:

20.31 + 2 = $22.31

Answer:

12,2,4,7

I think those are the coefficients

For this case we have to, given a monomial of the form:

[tex]ax ^ ny ^ m[/tex]

We have to:

a: Represents the coefficient of the monomial

x, y: Are the variables

n, m: They are the exponents

Then, according to the given expression we have that the coefficients are:

12,2, 4 and 7

ANswer:

12,2, 4 and 7

Answer:

2(5+7)

Step-by-step explanation:

2 times any equation is 2(equation) and our equation is the sum of 5 and 7 which means 5 plus 7, therefore our equation is 2(5+7)

Answer

(5 + 7) · 2

Step-by-step explanation

If we take a look at PEMDAS or BEDMAS whichever one you were taught, multiplication comes before addition. (And unless you are in 2nd grade, you will know that "times" means multiplication, and sum is the result of an addition problem.)

P = Parentheses {|} B = Brackets/Parentheses

That means that anything in parentheses or brackets comes first, no matter what type of problem it is. So, if we add 5 and 7 and then multiply it by two and just rephrase that, we get 2 times the sum of 5 and 7.

Answer:

b 1/8 inch

Step by step

just got right on ed

The height of each individual cracker in the vertical column is 1/8 inches.

The height of each individual cracker can be determined by dividing the volume of the column by 40 and the area of each cracker.

Area of each cracker = 2 x 1 1/2

= 2 x 3/2 = 3 inches

Height of each individual cracker = 15/40 x 3 = 1/8 inches

To learn more about the volume, please check: https://brainly.com/question/26406747

The sides of the transformed figure A'B'C'D' describes A'D' is congruent to A'B' . The correct answer is option A

Translating a figure ABCD down by 6 units results in a congruent figure A'B'C'D', meaning the sides of the transformed figure are of the same length and angles as the original.

When a figure is translated, all of its sides remain parallel and congruent to the corresponding sides of the original figure. Therefore, the sides of the transformed figure A'B'C'D' are all parallel to the corresponding sides of the original figure ABCD.

In particular, we can see that A'D' is parallel to A'B' because they are both horizontal lines. Additionally, we can see that A'D' is congruent to A'B' because they are both the same length.

Therefore, the correct answer is option A. A'D' || A'B'.

Answer:

Acceleration = 2 meters /second^2.

Step-by-step explanation:

Use Newton's Second Law of Motion:

Force = mass * acceleration.

0.5 = 0.25 * a

a = 0.5 / 0.25

a = 2 meters /second^2.

Answer:

Step-by-step explanation:

[tex]y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\<,\ >-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\<,\ \leq-\ \ shading\ below\ the\ line\\>,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)[/tex]

Answer:

A compound shape is a shape that is made up from other simple shapes. In this article we will be working out the area of a L shape (made up from 2 rectangles). To find the area of a compound shape, follow these simple steps: Step 1: Work out the missing lengths around the edge of the compound shape.

Step-by-step explanation:

Answer:

[tex]y=\pm i \sqrt{7}[/tex]

Step-by-step explanation:

Given equation is [tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]

Factor denominators then solve by making denominators equal

[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]

[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]

[tex]\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]

[tex]y\left(y+4\right)-4\left(y-4\right)=9[/tex]

[tex]y^2+4y-4y+16=9[/tex]

[tex]y^2=9-16[/tex]

[tex]y^2=-7[/tex]

take squar root of both sides

[tex]y=\pm \sqrt{-7}[/tex]

[tex]y=\pm i \sqrt{7}[/tex]

Hence final answer is [tex]y=\pm i \sqrt{7}[/tex].

ANSWER

The x-coordinate of the solution to the system of equations is 1.

EXPLANATION

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

2x-5=-x-2

Group similar terms to obtain:

2x+x=-2+5

Simplify

3x=3

Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1

The solution to the system of equations y = -x - 2 and y = 2x - 5 is found by setting them equal to each other and solving for x, which yields the x-coordinate of the solution as 1.

To find the x-coordinate of the solution to the system of equations y = -x - 2 and y = 2x - 5, we can solve the equations simultaneously since they are both linear equations. Here are the steps to finding the solution:

So, the x-coordinate of the solution to the system of equations is 1.

Answer:

0.4

Step-by-step explanation:

so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer 

Answer:

(x + 3)(x + 1)(x - 1)

Step-by-step explanation:

Given

x³ + 3x² - x - 3

Factor the first/second and third/fourth terms

= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence

= (x + 3)(x + 1)(x - 1) ← in factored form

Answer: Option B.

[tex]b=\frac{5}{4}[/tex]

Step-by-step explanation:

If a varies directly with b then when a increases b it also increases by a factor k.

Then we can write that

[tex]a = kb[/tex]

We know that when a = 28 then b = 7. So

[tex]28 = k * 7[/tex]

[tex]k=\frac{28}{7}[/tex]

[tex]k=4[/tex]

Therefore the equation of proportionality is:

[tex]a=4b[/tex]

So when [tex]a=5[/tex]  then:

[tex]5=4b\\\\b=\frac{5}{4}[/tex]

ANSWER

The correct choice is B.

EXPLANATION

If 'a' varies directly as 'b' then we write the equation of variation,

[tex]a = kb[/tex]

Where k is the constant of variation.

We have that a = 28 when b = 7.

This implies that,

[tex]28= 7k[/tex]

[tex]k = 4[/tex]

The equation now becomes

[tex]a = 4b[/tex]

When we a=5, we have

[tex]5 = 4b[/tex]

[tex]b = \frac{5}{4} [/tex]

The correct answer is B

Answer:

C

Step-by-step explanation:

The answer is C.

Hope this helps :)

Answer:

one A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.

Step-by-step explanation:

The surface area of Cone A when  the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

[tex]L = k \times M[/tex]

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by [tex]k^2[/tex]

to get each other corresponding quantity from their similar figures' quantities.

Similarly, increasing product derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that:

The scale factor between cone A and cone B is 3:5

That can be taken as: [tex]3/5 = 0.6[/tex] scale factor.

It means,

side length of cone A = [tex]0.6 \times[/tex] corresponding side length of cone B

Also, as given, we have:

Surface area of cone B = 725 ft²

Assume that cone A's surface area is S, then we get:

surface area of cone A = [tex]0.6^2 \times[/tex] surface area of cone B

[tex]725 = 0.6^2 \times S\\S =\dfrac{725}{0.6^2} \approx 2013.89 \: \rm ft^2[/tex]

Thus, the surface area of Cone A when  the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²

Learn more about scale factor here:

https://brainly.com/question/11178083

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Answer: The answer to your question is C. (7*5) - (7*3)

Step-by-step explanation: because when you have an expression or equation in parentheses, you apply the distributive property to get rid of the parentheses:

The problem will now look like this:

[tex]7(5-3)= (7*5) - (7*3)[/tex]

And if they asked you for the answer in a whole number, it would be 14 because

7*5=35 and 7*3=21

35-21=14

So, therefore, the expanded form would be (7*5) - (7*3)

Answer:

The maximum possible area of the triangle is 36 units²

Step-by-step explanation:

Let

x, y the legs of the right triangle

Applying the Pythagoras Theorem

[tex]12^{2}=x^{2}+y^{2}\\\\144=x^{2}+y^{2}[/tex]

[tex]y=\sqrt{144-x^{2}}[/tex] ----> equation A

The area of the right triangle is equal to

[tex]A=\frac{1}{2}xy[/tex] ----> equation B

substitute equation A in equation B

[tex]A=\frac{1}{2}x(\sqrt{144-x^{2}})[/tex]

Using a graphing tool

The vertex of the graph is a maximum

That means

The x-coordinate of the vertex is the value of x for the maximum possible area of the triangle

The y-coordinate of the vertex is the maximum possible area of the triangle

The vertex is the point (8.485,36)

see the attached figure

therefore

The maximum possible area of the triangle is 36 units²

Answer:

D. $1257.71

Step-by-step explanation:

Used my calculator. lol

Answer:

$1257.71.

Step-by-step explanation:

8.25% = 0.0825.

So the sales tax on $15,245

= $15,245 * 0.0825

= $1257.71.

32√2

-5√5

3√7 + 7√6;

Find the highest perfect square and non-perfect square that will give you the product of what is inside the radicals, multiply the square roots of those perfect squares by their outside terms, and you will have your simplified radicals.

Answer:

1000 years

Step-by-step explanation:

1x10^11 is basically 100 billion

1x10^8 is basically 100 million

so 100 billion divided by 100 milllion is basically 1000

so 1000 years

Answer:

D=.56 g/cm^3

Explanation:

Density= mass/volume

D=4.49/8

D=.56 g/cm^3

Hope you get it!

An 8 cm³ block of confectioners sugar that weigh 4.49 grams would have a density of 0.56 g/cm³. Thus, the density of powdered sugar is 0.56 g/cm³

From the question, we are to determine the density of the powdered sugar

Density can be calculated by using the formula,

[tex]Density = \frac{Mass}{Volume}[/tex]

From the given information,

Volume = 8 cm³

and Mass = 4.49 g

Putting the parameters into the equation,

[tex]Density = \frac{4.49}{8}[/tex]

Density = 0.56125 g/cm³

Density ≅ 0.56 g/cm³

Hence, the density of powdered sugar is 0.56 g/cm³

Learn more on Calculating density here: https://brainly.com/question/11258429

Answer:

50000 times

Step-by-step explanation:

Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.

Final answer:

To determine how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], divide the two numbers to get [tex]0.5 * 10^5[/tex], which simplifies to [tex]5 * 10^4[/tex] or 50,000 times larger.

Explanation:

To find out how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], we can divide the first number by the second:

[tex]4 * 10^{12}[/tex] ÷ [tex]8 * 10^7[/tex] = (4/8) x [tex]10^{(12-7)}[/tex]

Now, simplify:

First, simplify the division of the coefficients (4/8) which equals 0.5.

Then, subtract the exponents of 10, which is 12 - 7 = 5.

So, the final answer is:

[tex]0.5 * 10^5 = 5 * 10^4[/tex]

This means that [tex]4 * 10^{12}[/tex] is 50,000 times larger than [tex]8 * 10^7[/tex].

Answer:

[tex]\large\boxed{\dfrac{1}{45}}[/tex]

Step-by-step explanation:

1.

2 yellow marables of 10 all marables

[tex]P(A_1)=\dfrac{2}{10}=\dfrac{1}{5}[/tex]

2.

1 yellow marable of 9 all marables

[tex]P(A_2)=\dfrac{1}{9}[/tex]

[tex]P(A)=P(A_1)\cdot P(A_2)\\\\P(A)=\dfrac{1}{5}\cdot\dfrac{1}{9}=\dfrac{1}{45}[/tex]

Answer: 4

Explanation: Every other drink is a cappuccino (or half of the total drinks). All you need to do is divide 8 by 2, which gives you 4.

The answer is 4 because if 5 of the ten drinks were cap.’s then that means half are those, therefore, half of 8 is 4