Simplify:


7x2 – 4x + x2 – 3

Answer: 7

Step-by-step explanation:

To undo the division you multiply. (:

Answer:

11 ways

Step-by-step explanation:

10 crunchy

9 crunchy 1 crispy

8 crunchy 2 crispy

7 crunchy 3 crispy

6 crunchy 4 crispy

5 crunchy 5 crispy

4 crunchy 6 crispy

3 crunchy 7 crispy

2 crunchy 8 crispy

1 crunchy 9 crispy

10 crispy

As the question does not specify any order or arrangement for the boxes of Wake up cereal, the boxes can be organized in one single way: 10 boxes of crispy Wake up cereal and 10 boxes of crunchy Wake up cereal.

The question asks how many ways 10 boxes of crispy Wake up cereal and 10 boxes of crunchy Wake up cereal can be organized. This appears to be a problem of combinations or permutations. However, since there are only two types of cereal and the question only asks about the total number of boxes, not their order, the numbers of ways will be the same no matter how they're arranged. Therefore, the only answer in this case would be one single way: 10 boxes of crispy and 10 boxes of crunchy.

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Answer:

The correct answer is option B.   100π units²

Step-by-step explanation:

Formula:-

The surface area of a sphere = 4πr²

Where r is the radius of sphere

To find the surface area of given sphere

Here r = 5 units

Surface area = 4πr²

 = 4 * π * 5²

 = 4 * π * 25 = 100π units²

Therefore the  correct answer is option B.   100π units²

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{5 \: units}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 5 units. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will apply the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area :-

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4 \times \pi \times \: (5 \: units)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (5 \: units)^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 25 \: units^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 100 \: units^2 \times \pi[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 100\pi \: units^2}[/tex]

Therefore :-

[tex]\\[/tex]

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Have a great day! <33

Answer:

6, 13, 20, 27, 34

arithmetic sequence

Step-by-step explanation:

"Start with 6" means the first term is 6.

"Add 7 repeatedly" means each term is formed by adding 7 to the one before it:

6 +7 = 13

13 +7 = 20

20 +7 = 27

27 +7 = 34

So, the first 5 terms are ...

6, 13, 20, 27, 34

_____

Any sequence in which terms have a common difference is an *arithmetic* sequence. You know these terms have a common difference of 7, because that's the number you added to each term to get to the next term. 13-6 = 7; 20-13 = 7; 27-20 = 7; and so on.

Answer:

C. 1 7/8 of a pound

Step-by-step explanation:

We can use  a ratio to solve

2 1/2 pounds     x pounds

------------------ = ---------------

1 batch               3/4 batch

Change to improper fractions

2 1/2 = (2*2+1)/2 = 5/2

5/2 pounds     x pounds

------------------ = ---------------

1 batch               3/4 batch

Using cross products

5/2 * 3/4 = 1*x

15/8 = x

Changing from an improper fraction to a mixed number

8 goes into 15 1 time with 7 left over

15/8 = 1 7/8

Answer:

1  7/8

Step-by-step explanation:

[tex]x^{13}-2x^{12}-x^{11}+2x^{10}=0\\\\x^{10}\cdot\Big[x^3-2x^2-x+2\Big]=0\\\\x^{10}\cdot\Big[x^2\cdot(x-2)-(x-2)\Big]=0\\\\x^{10}(x-2)(x^2-1)=0\\\\\boxed{x^{10}(x-2)(x+1)(x-1)=0}[/tex]

So:

x = 0 with multiplicity 10 or

x = 2 or

x = 1 or

x = -1

Answer D)

You can make one equation equal to t instead of y or x. I decided to make the equation y = t - 4 equal to t

y + 4 = t + (-4 + 4)

t = y + 4

Now in the other equation ( x = 3t + 1) you can replace t with y + 4 and solve for y

x = 3(y + 4) +1

x = 3y + 12 + 1

x = 3y + 13

x - 13 = 3y

y = x/3 -13/3

^^^I assume that's what you meant in the fourth opption when you wrote "y = x - 13/3"

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The correct option is C) [tex]y=\frac{x-13}{3}[/tex].    

Step-by-step explanation:

Consider the provided parametric equations.

[tex]x=3t+1......(1)[/tex]

[tex]y=t-4......(2)[/tex]

The equation (2) can be written as:

[tex]y+4=t[/tex]

Substitute the value of t in equation (1).

[tex]x=3(y+4)+1[/tex]

[tex]x=3y+12+1[/tex]

[tex]x=3y+13[/tex]

[tex]x-13=3y[/tex]

[tex]y=\frac{x-13}{3}[/tex]

Therefore, the correct option is C) [tex]y=\frac{x-13}{3}[/tex].

Answer:

z = 99°

Step-by-step explanation:

y = 0.5 × 96° = 48° ( inscribed angle subtended on same arc )

x = 0.5 × 66° = 33° ( inscribed angle subtended on same arc )

The sum of the 3 angles in the triangle = 180°, hence

third angle = 180° - (48 + 33)° = 180° - 81° = 99°

z = 99° ( vertical angle )

Check

96° + 99° + 66° + 99° = 360°

Answer:

Social Security = 5600.09, Medicare = 1309.70

Step-by-step explanation:

The right answer is b.I hope it helps

Answer:

  192.5 ft²

Step-by-step explanation:

The large sector of the circle has a central angle measure of 360° -100° = 260°, so its area will be (260°/360°) of the circle, or ...

  large sector area = (260/360)πr² = 13π/18·(8.35 ft)² ≈ 158.195 ft²

The area of the 100° triangle is ...

  triangle area = (1/2)r²·sin(100°) = (1/2)(8.35 ft)²·sin(100°) ≈ 34.332 ft²

Then the shaded area is ...

  shaded area = large sector area + triangle area

  = 158.195 ft² +34.332 ft² ≈ 192.5 ft²

The shaded area is about 192.5 square feet.

since the angle of the arc is equal to 68° therefore angle b which is a central angle is ganna be equal to 68° which is the central angle while angle a is 34° which is an inscribed angle and inscribed angles are equal to half the subtended arc

ANSWER

[tex]y= {(x+ 1)}^{2}[/tex]

EXPLANATION

The given points are:

(1, 4), (2, 9), and (3, 16)

It is obvious that the function is not linear because there is no constant difference among the y-values.

We can however manipulate the y-values to quickly identify the function.

[tex]4 = {2}^{2} = {(1 + 1)}^{2} [/tex]

[tex]9= {3}^{2} = {(2 + 1)}^{2} [/tex]

[tex]16= {4}^{2} = {(3 + 1)}^{2} [/tex]

We can infer from the pattern that, the function is;

[tex]y= {(x+ 1)}^{2} [/tex]

Answer:

The approximate probability that the first letter chosen is A = 0.0385....

Step-by-step explanation:

The given statement is two unique letters are chosen at random from the alphabet.

The total number of ways that the two letters would be chosen from alphabets = 650

26*25 = 650

For the first draw there are 26 letters but for the second draw there are only 25 letters left thats why we have multiplied 26 by 25.

The number of ways letters are chosen such that the first one is A, is

1*25 = 25

Thus the probability that the first letter chosen is A:

P(A)25/650 =  0.03846

By rounding off it becomes 0.0385.

Thus the approximate probability that the first letter chosen is A = 0.0385....

Answer: A. 0.0385

Step-by-step explanation:

Edg 2021

Answer:

[tex]x=1.2528[/tex]

Step-by-step explanation:

Assuming the equation to solve is

[tex]1+2e^x+1=9[/tex]

We can first simplify as:

[tex]1+2e^x+1=9\\2+2e^x=9\\2e^x=9-2\\2e^x=7\\e^x=\frac{7}{2}[/tex]

to solve an equation with e and x as an exponent, we need to take "natural log (ln)" on both sides and also use the property:

[tex]ln(a^x)=xln(a)[/tex]

And also remember that ln e = 1

Now we have:

[tex]e^x=\frac{7}{2}\\ln(e^x)=ln(\frac{7}{2})\\xln(e)=ln(\frac{7}{2})\\x(1)=ln(\frac{7}{2})\\x=ln(\frac{7}{2})\\x=1.2528[/tex]

Answer:  [tex]x[/tex]≈[tex]1.252[/tex]

Step-by-step explanation:

Given the equation [tex]1+2e^x+1=9[/tex], add the like terms:

[tex]2e^x+2=9[/tex]

Subtract 2 from both sides:

[tex]2e^x+2-2=9-2[/tex]

[tex]2e^x=7[/tex]

Divide both sides by 2:

[tex]\frac{2e^x}{2}=\frac{7}{2}\\\\e^x=\frac{7}{2}[/tex]

Apply natural logarithm to both sides. Remember that

[tex]ln(e)=1[/tex] and  [tex]ln(m)^n=nln(m)[/tex]

Then, you get:

[tex]ln(e)^x=ln(\frac{7}{2})\\\\xln(e)=ln(\frac{7}{2})\\\\x=ln(\frac{7}{2})[/tex]

[tex]x[/tex]≈[tex]1.252[/tex]

Let the number = x.

So 2 times x subtracted from 11 is written as 11-2x

The result is 4 more than the number is written as 4 +x

Now you have 11-2x = 4 + x

We can now solve for x.

Add 2x to each side:

11 = 4 + 3x

Subtract 4 from each side:

7 = 3x

Divide both sides by 3:

x = 7/3

Answer:

A

Step-by-step explanation:

The volume of a pyramid is one third the height times the area of the base.

V = ⅓ h A

The base is a square, so the area is the width times length.

V = ⅓ h wl

Problem is, we don't know the height, only the slant length.  But we can use this to find the height.

If we cut a cross section down the middle of the pyramid, we get an isosceles triangle.  The base of the triangle is 24, and the legs are 37.

If we cut this triangle in half, we get two right triangles.  Each right triangle has a base of 12 and a hypotenuse of 37.

Now we can use Pythagorean theorem to find the height of the triangle, which is also the height of the pyramid.

c² = a² + b²

37² = 12² + h²

h = 35

Now we can find the volume.  h = 35, w = 24, and l = 24:

V = ⅓ h wl

V = ⅓ (35) (24) (24)

V = 6720

So the volume is 6720 ft³, or answer A.

Answer:

Option A.

Step-by-step explanation:

The given expression is

[tex](\sqrt{12}+\sqrt{6})(\sqrt{6}-\sqrt{10})[/tex]

We need to find the product.

Using distributive property we get

[tex]\sqrt{12}(\sqrt{6}-\sqrt{10})+\sqrt{6}(\sqrt{6}-\sqrt{10})[/tex]

[tex]\sqrt{12}(\sqrt{6})+\sqrt{12}(-\sqrt{10})+\sqrt{6}(\sqrt{6})+\sqrt{6}(-\sqrt{10})[/tex]

Using the properties of radical expressions we get

[tex]\sqrt{12\cdot 6}-\sqrt{12\cdot 10}+\sqrt{6\cdot 6}-\sqrt{6\cdot 10}[/tex]       [tex][\because \sqrt a\sqrt b=\sqrt{ab}][/tex]

[tex]\sqrt{72}-\sqrt{120}+\sqrt{36}-\sqrt{60}[/tex]

On further simplification we get

[tex]6\sqrt{2}-2\sqrt{30}+6-2\sqrt{15}[/tex]

Therefore, the correct option is A.

Answer:

[tex]112.25\ grams\ of\ carbohydrates[/tex]    

Step-by-step explanation:

we know that

using proportion

[tex]\frac{1}{44.9}\frac{serving\ of\ rice}{grams\ of\ carbohydrates} =\frac{2.5}{x}\frac{serving\ of\ rice}{grams\ of\ carbohydrates} \\ \\x=44.9*2.5\\ \\x=112.25\ grams\ of\ carbohydrates[/tex]

Answer:

WHAT IS THE ANSWER I CAN'T VEIR THE FILE

Step-by-step explanation:

Check the picture below.

make sure your calculator is in Degree mode.

The trigonometric concept of tangent can be applied to solve this problem. The tangent of the angle of depression, which is 25 degrees, equals the vertical height (2500 feet) divided by the horizontal distance. Solving for the horizontal distance, we get approximately 5166 feet.

The subject of the question is a common application of trigonometry, specifically the use of tangent. In this scenario, we are dealing with a right triangle where the angle of depression and the height are given, and we want to find the horizontal distance. We start by realising that the angle of depression from the balloon to the clearing is the same as the angle of elevation from the clearing to the balloon. Hence, we can use the tangent of the angle, which is opposite over adjacent, or in this context, height over horizontal distance. So, if tan(25 degrees) = 2500/horizontal distance, then the horizontal distance = 2500/tan(25). Solving this gives us approximately 5166 feet, to the nearest foot.

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The which function can be used to find the number of cells {C} in the population at the time {t} is given by C{n} = 8(3)ⁿ.

Exponential function →

An exponential equation is given by - y = f{x} = A(B)ˣ.

Given is a bacteria population grows at an exponential rate. the number of cells [C] in the population is modeled by the function : C(t) = [tex]$a(b)^{t}[/tex].

Let t = n. We can write -

C = a(b)ⁿ

For {n} = 0, {C} = 8. So, we can write -

8 = a(b)⁰

a = 8

and

For {n} = 1, {C} = 24. So, we can write -

24 = a(b)

b = 24/8

b = 3

So, we can write the exponential equation as -

C{n} = 8(3)ⁿ

Therefore, the which function can be used to find the number of cells {C} in the population at the time {t} is given by C{n} = 8(3)ⁿ.

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For this case we have that by definition of trigonometric relations that the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. That is to say:

[tex]Sin (43) = \frac {a} {26}[/tex]

Clearing the value of "a":

[tex]a = 26 * sin (43)\\a = 26 * 0.68199836\\a = 17.73195736[/tex]

Rounding off we have:

17.7

Answer:

Option B

Answer:

Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed.

Step-by-step explanation:

portfolio income refers to income generated by selling an investment tool at a higher price than that which was paid for. As such it is taxable which makes the statement;

Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed, False

The following statements about taxes are True;

Three taxes are deducted from your paycheck: federal income tax, state income tax (if applicable) and FICA.

The primary taxes on consumption are sales tax and excise tax.

Taxes on wealth and property include property tax, taxes on inheritance, estate taxes and gift taxes.

Answer:

Not all types of income are taxed

Step-by-step explanation:

i got 3 and the teacher said it was right

Answer:

The surface area is divided by 25.

Step-by-step explanation:

The radius of a sphere is given as 15 m.

To obtain the surface area of the original sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.

S=4π(15)2=(4)(225)π=900π

The surface area of the original sphere is 900π m2.

To find the radius of the new sphere divide the radius of the original sphere by 5.

r=155=3

The radius of the new sphere is 3 m.

To obtain the surface area of the new sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.

S=4π(3)2=(4)(9)π=36π

The surface area is 36π m2.

Notice that 900π=25(36π). The surface area of the second sphere is 52=25 times less than the original surface area. The surface area of a sphere changes by the square of the factor that the radius changes.

Therefore, the surface area is divided by 25.

Answer:

20 miles

Step-by-step explanation:

She traveled 4 miles in 15 minutes.

She went at the same speed for another hour.

1 hour is 60 minutes.

60 = 4 * 15

There are 4 15-minute periods in an hour.

Since she went 4 miles in 15 minutes, she went 4 * 4 miles in 1 hour.

4 * 4 miles = 16 miles.

She went 4 miles in 15 minutes and another 16 miles in an hour.

The total distance she traveled is 4 miles + 16 miles = 20 miles.

Answer: 20 miles

[tex]\bf (\stackrel{x}{2},\stackrel{y}{-2})\qquad y=2x+2\implies -2=2(2)+2\implies -2\ne 6~~\bigotimes \\\\\\ (\stackrel{x}{2},\stackrel{y}{-2})\qquad y = 2x-2\implies -2=2(2)-2\implies -2\ne 2~~\bigotimes \\\\\\ (\stackrel{x}{2},\stackrel{y}{-2})\qquad y=2x+6\implies -2=2(2)+6\implies -2\ne 10~~\bigotimes \\\\\\ (\stackrel{x}{2},\stackrel{y}{-2})\qquad y=2x-6\implies -2=2(2)-6\implies -2=-2~~\checkmark[/tex]

Answer:

-4 <n <= 5

Step-by-step explanation:

Open at -4 and closed at 5 on number line so the inequality should be

-4 <n <= 5

The formula for the volume of a sphere is:

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

The formula for the surface area of a sphere is:

[tex]a = 4\pi {r}^{2} [/tex]

Since they have equal numerical values, we know that the two are equal and we can say:

[tex] \frac{4}{3} \pi {r}^{3} = 4\pi {r}^{2} [/tex]

Solving for r, pi cancels out and we get:

[tex]r = 3[/tex]

Now plug r = 3 into both of the formulas to make sure that they are equal (hint: they are)

Answer: r = 3

Answer:

x = 3

Step-by-step explanation:

A line of symmetry splits a figure into 2 exact, mirror images of one another.  The line here that does that is x = 3

Answer:

x=3

Step-by-step explanation:

The correct answer is x = 3.

To solve the equation[tex]4x=8x-1\[/tex] we need to isolate the variable x on one side of the equation. Let's perform the necessary algebraic steps:

 First, subtract 4x from both sides of the equation to get all the x terms on one side:

[tex]4x=8x-1\\\8x-4x=1\\4x=1\\x=4-1\\3[/tex]

 However, the options provided are numerical values, and [tex]3[/tex] does not match any of the given options. It seems there was a mistake in the options provided or in the interpretation of the equation. The correct solution to the equation 4x = 8x - 1 is indeed x = 3