A square prism measuring 6 km along each
edge of the base and 5 km tall. Find area

Option D: Two irrational solutions

Explanation:

The equation is [tex]17+3 x^{2}=6 x[/tex]

Subtracting 6x from both sides, we have,

[tex]3x^{2} -6x+17=0[/tex]

Solving the equation using quadratic formula,

[tex]x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}[/tex]

Simplifying the expression, we get,

[tex]\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}[/tex]

Taking out the common terms and simplifying, we have,

[tex]\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}[/tex]

Dividing by 3, we get,

[tex]x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}[/tex]

Hence, the equation has two irrational solutions.

Answer:

3

(-5x - 3)(-5x + 3)

Step-by-step explanation:

Difference of squares is a special type of factoring when you are subtracting two numbers that are perfect squares. Perfect squares are numbers that, when you find its square root, it is a whole number.

Difference of squares follows this rule:

a² - b² = (√a² - √b²)(√a² + √b²) = (a - b)(a + b)

Notice in the factored form, you take the same number in both brackets. In one set of brackets you add the numbers. In the other brackets, you subtract the numbers.

In (-5x - 3)(-5x + __), the blank in the second bracket will use the same number as the second number in the first brackets.

(-5x - 3)(-5x + 3)

Answer:

An acute Angle

Step-by-step explanation:

Any Angle that is from 1 to 89 degrees is considered an acute Angle.

angle list: k,l,j:

sides are:  LJ, KJ, KL

To find the sides of triangle JLK in order from smallest to largest, we need to compare the measures of the angles. The side opposite the largest angle is the longest side, so we can determine the order of the sides based on the angle measures.

The triangle JLK has angles J, L, and K with measures 82, 57, and 41 degrees, respectively. To determine the sides of JLK in order from smallest to largest, we can use the fact that the side opposite the largest angle is the longest side. So, we need to identify the largest angle and its corresponding side.

Comparing the measures of the angles, we can see that M∠J is the largest angle. Therefore, the side opposite angle J, which is side JL, is the longest side. Next, we compare the measures of the remaining angles. M∠L is the next largest angle, so the side opposite angle L, which is side LK, is the second longest side. Finally, M∠K is the smallest angle, so the side opposite angle K, which is side JK, is the shortest side.

Therefore, the sides of triangle JLK in order from smallest to largest are JK, LK, JL.

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Answer:

The correct answer is Area = Pir2, The area formula can be found by breaking apart the circle and forming a parallelogram, and The area formula can be found by breaking apart the circle and forming a parallelogram. B,D,and E.

Step-by-step explanation:

Answer:

B, D, E

Step-by-step explanation:

Thats the correct answer bye

Answer:

320 liters

Step-by-step explanation:

Each tank = 40 liters

8 tanks = 40 × 8 = 320

Answer:

8 x 40 = 320

Step-by-step explanation:

since 1 fish tank has 40 liters of water, we are trying to find the total of all 8 which is why we multiply 8 x 40

Answer:

Cost of each cherry pie = $6

Cost of each blackberry pie = $16

Step-by-step explanation:

Let x be the cherry pies and y be the blackberry pie.

Solution:

From the above statement Jasmine sold 12 cherry pies and 4 blackberry pies for a total of $136.

So, we write the first equation as.

[tex]12x+4y = 136 ------(1)[/tex]

And Stephanie sold 8 cherry pies and 1 blackberry pie for a total of $64.

So, we write the second equation as.

[tex]8x+y = 64 --------(2)[/tex]

First we solve equation 2 for y.

[tex]y = 64-8x[/tex] ------------------------(3)

Substitute [tex]y = 64-8x[/tex]  in equation 1.

[tex]12x+4(64-8x) = 136[/tex]

[tex]12x+256-32x=136[/tex]

[tex]12x-32x=136-256[/tex]

[tex]-20x=-120[/tex]

[tex]x=\frac{120}{20}[/tex]

x = 6

Substitute x = 6  in equation 3.

[tex]y = 64-8(6)[/tex]

[tex]y=64-48[/tex]

y = 16

Therefore, cost of each cherry pie = $6 and cost of each blackberry pie = $16

By solving the system of equations, it is determined that the cost of one cherry pie is $6 and the cost of one blackberry pie is $16. These findings are crucial for pricing strategies in the school fundraiser.

To solve the system of equations for the cost of cherry and blackberry pies sold by Jasmine and Stephanie for a school fundraiser, we can set up two equations based on the given information:

Let's denote the cost of one cherry pie as c and the cost of one blackberry pie as b. Therefore, we can form the following equations based on the problem statement:  

Using the method of substitution or elimination, we solve for c and b.

For simplicity, let's use elimination. To eliminate b, we can multiply the second equation by -4 and add to the first:

-32c - 4b = -256
12c + 4b = 136

Combining these, we get -20c = -120, thus c = $6. Substituting c = 6 into the second equation, 8*6 + b = 64, gives us b = $16.

In real-life terms, this means one cherry pie costs $6, and one blackberry pie costs $16, which would be important for pricing and accounting in the fundraiser.

z(5 , 3) = 10

Step-by-step explanation:

x = 5

y = 3

z(x,y) = x/ y(x-y)

z (5, 3) = 5/ 3(5-3)

            = 4x5/ 2

            = 20/2

z (5- 3) = 10

Answer:

the answer is 97, I'll explain in the comments in a bit

^^

guy above me its right

Answer:

- 6r³.

Step-by-step explanation:

Here, we have to find the product of r², - 3 and 2r.

Now, the product is, P = (r²)(- 3)(2r)

⇒ [tex]P = (- 3) \times (2) \times r^{2}\times r[/tex]

{Seperating each terms as the terms are in product form}

⇒  [tex]P = - 6 \times r^{2 + 1}[/tex]

{Using the property of exponent that [tex]x^{a}\times x^{b} = x^{a + b}[/tex]}

⇒ P = - 6r³ (Answer)

Answer:

41

Step-by-step explanation:

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.  40 prints must she sell next month if she wants to earn at least $2000

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Melissa sells her art online for $49.50 per print.

We need to find how many prints she has to sell to earn atleast $2000.

Let us consider x be the number of prints.

Let us form proportional equation

Forty nine point five zero by one equal tp two thousand by x.

49.50/1=2000/x

Apply cross multiplication

49.50x=2000

Forty nine point five zero times of x equal to two thousand.

Divide both sides by 49.50

x=40.40

Hence 40 prints must she sell next month if she wants to earn at least $2000

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Answer:$11200

Step-by-step explanation:

I = prt

I = 40,000( .07)(4)

I = $11200

The greatest integer that will divide both 4900 and 168 exactly is 28.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, the LCM of 6 and 8 is 24. Hence 24 is divisible by both 6 and 8.

First, Prime Factorizing 4900

4900 = 7 x 7 x 2 x 2 x 5 x 5

and, Prime Factorizing 168

168 = 2 x 2 x 2 x 3 x 7

So, the Common multiple of 4900 and 168 is 2 x 2 x 7 = 28.

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Final answer:

The greatest integer that will divide both 4900 and 168 exactly is 4.

Explanation:

The greatest integer that will divide both 4900 and 168 exactly is 4.

To determine this, we can use the concept of greatest common divisor (GCD). The GCD is the largest positive integer that divides two given numbers without leaving a remainder. In this case, the GCD of 4900 and 168 is 4.

One way to find the GCD is to factorize both numbers and determine the common factors. In this case, the prime factorization of 4900 is 2^2 * 5^2 * 7^2, and the prime factorization of 168 is 2^3 * 3 * 7.

The common factors are 2^2 and 7^1, which multiplied together give us 4. Therefore, 4 is the greatest integer that will divide both 4900 and 168 exactly.

The equation have infinite solutions.

Data;

To solve this problem, we can proceed to solve this equation by collecting like terms and then dividing through to know the coefficient of x.

[tex]12x + 1 = 3(4x + 1) - 2\\12x + 1 = 12x + 3 - 2\\12x + 1 = 12x + 1\\[/tex]

The equation have infinite solutions.

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Answer:

D. Infinitely many

Step-by-step explanation:

did on edge

hope this helps

Answer:

  C.  -7x- 5y = -48

Step-by-step explanation:

The vector AB is ...

  AB = B -A = (4, 4) -(-3, -1) = (4+3, 4+1) = (7, 5)

The dot-product of this vector and the one in the direction of the line through B will be 0:

  (7, 5)·(x -4, y -4) = 0

  7(x -4) +5(y -4) = 0

  7x +5y -48 = 0

Multiplying by -1 gives the form we see in answer choice C:

  -7x -5y = -48

Hey there!

When we say (f + g)(2), we are adding both functions together and plugging in 2 for x.

Since f(x) is equal to 2x + 210 and g(x) is equal to 2x + 125, (f + g)(x) is equal to (2x + 210) + (2x + 125).

That can be simplified to 4x + 335.

So, (f + g)(x) = 4x + 335.

Let's plug 2 in for x and solve.

(f + g)(2) = 4(2) + 335

Multiply.

(f + g)(2) = 8 + 335

Add.

(f + g)(2) = 343

The x value is consistent for the values of both equations, in both x is defined as the number of hours spent exercising.

So, (f + g)(2), which is 343, is the amount of calories burned and the calorie deficit on a diet when 2 hours are spent exercising.

Hope this helps!

Answer:

Its D

Step-by-step explanation:

The expression (1.3x + 2.4) - (6.1x - 3.2) simplifies to -4.8x + 5.6 after distributing the negative sign and combining like terms.

To solve the expression (1.3x + 2.4) - (6.1x - 3.2), we'll distribute the negative sign inside the second parentheses and then combine like terms:

(1.3x + 2.4) - (6.1x - 3.2)

Distribute the negative sign:

1.3x + 2.4 - 6.1x + 3.2

Combine like terms:

(1.3x - 6.1x) + (2.4 + 3.2)

Combine the x terms:

-4.8x + 5.6

So, (1.3x + 2.4) - (6.1x - 3.2) simplifies to -4.8x + 5.6.

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The probable question may be:

Simplify (1.3x + 2.4) - (6.1x - 3.2)

Answer:

[tex]\large \boxed{\text{c. 405.3 ft}}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcr}\angle A + \angle B + \angle C & = & 180^{\circ}\\82^{\circ} + 78^{\circ} +\angle C & = & 180^{\circ}\\160^{\circ} + \angle C & = & 180^{\circ}\\\angle C & = & 20^{\circ}\\\end{array}[/tex]

[tex]\begin{array}{rcl}\dfrac{\sin A}{a} & = &\dfrac{\sin C}{c}\\\\\dfrac{\sin82^{\circ}}{a} & = &\dfrac{\sin20^{\circ}}{140}\\\\\dfrac{0.9903}{a} & = &\dfrac{0.3420}{140}\\\\a & = & \dfrac{0.9903 \times140}{0.3420}\\\\& = & \mathbf{405.3 ft}\\\end{array}\\\text{The distance from Ship B to the signal fire is $\large \boxed{\textbf{405.3 ft}}$}[/tex]

Answer:220

Step-by-step explanation:

65+65+ 60+ 30

The answer is 591 to the problem.

To solve this ratio problem, we need to determine the relationship between the given numbers and apply it to find the answer.

The given expression is:

9:3 :: 49 :

To solve this, we need to determine the relationship between 9 and 3, and then apply the same relationship to 49.

The symbol '::' represents the ratio or proportion between the numbers before and after it.

9 divided by 3 is equal to 3, so the relationship here is that the first number is three times the second number.

Now, let's apply the same relationship to 49:

49 divided by 3 is equal to 16.33, so we can say that the answer is 16.33.

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The final answer is 9 : 3 :: 49 : 16.33.

Here's a step-by-step solution:

The answer to the question is therefore 49 : 16.33.

Answer:

D) -73

Step-by-step explanation:

(-21)+(-37)+(-15)

-21-37-15

-58-15

-73

Answer:

150

Step-by-step explanation:

We know that Scott's ratio of making the basket is 9/12. All we need to do is find out how many baskets he'll make if he attempts 200 shots.

So, 9/12 needs to become x/200. We don't know what x is yet, but there's a shortcut.

9/12 can be simplified by dividing 3 on the top and bottom.

9/12 ÷ 3/3 = 3/4

We can then see how many times 4 can go into 200.

200/4 = 50

So, we multiply 3/4 by 50 on both the top and bottom.

3/4 × 50/50 = 150/200.

So, if he attempts 200 shots then he'll make 150 of them.

Scott can expect to make approximately 150 baskets if he attempts 200 shots with his success rate being 9 out of 12, which equates to a 75% success rate.

The question asks how many baskets Scott can expect to make if he tries 200 shots given that his average success rate is 9 out of 12. To find the answer, we can set up a proportion because Scott's shooting is a matter of probability and ratios. First, we determine Scott's success rate as a fraction: 9/12 which simplifies to 3/4 or a success rate of 75%.

Then, we apply this success rate to the new number of attempts (200) to find the expected number of successful baskets:

Therefore, if Scott attempts 200 shots, he can expect to make approximately 150 baskets.

Question:

Crispy clover, a popular vegetarian restaurant, introduced a new menu that had 20% more dishes than the previous menu. The previous menu had D dishes. Which of the following expressions could represent how many dishes crispy clovers new menu has?

Answer:

The expression could represent how many dishes crispy clovers new menu has is:

[tex]D + \frac{1}{5}D \text{ or } 1.2D[/tex]

Solution:

Given that,

The new menu had 20% more dishes than the previous menu

The previous menu had D dishes

Therefore,

Previous menu = D dishes

New menu = 20 % more dishes than previous menu

Which means,

New menu = 20 % of previous menu + previous menu

Therefore,

New menu = 20 % of D + D

Solve the above equation

[tex]New\ menu = 20 \% \times D + D\\\\New\ menu = \frac{20}{100} \times D + D\\\\New\ menu = 0.2 \times D + D\\\\New\ menu = 0.2D + D = \frac{D}{5} + D = 1.2D[/tex]

Therefore, new menu has 1.2D dishes

Option C:

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}=3.75[/tex]

Solution:

Given expression:

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex]

Summation means sum of the numbers.

Put n = 1  to 5 and sum all the numbers.

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex]

           [tex]=3(0.2)^{1-1}+3(0.2)^{2-1}+3(0.2)^{3-1}+3(0.2)^{4-1}+3(0.2)^{5-1}[/tex]

           [tex]=3(0.2)^{0}+3(0.2)^{1}+3(0.2)^{2}+3(0.2)^{3}+3(0.2)^{4}[/tex]

Using exponential rule: [tex]a^0=1[/tex], so that [tex]0.2^0=1[/tex]

           [tex]=3(1)+0.6+0.12+0.024+0.0048[/tex]

           [tex]=3.7488[/tex]

           = 3.75

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}=3.75[/tex]

Option C is the correct answer.

Hence approximate value of [tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex] is 3.75.

Answer:

C

Step-by-step explanation:

edge

Answer:

no

Step-by-step explanation:

24 x 5 = 120

40 x 4= 160

Final answer:

The equation that does not support the fact that polynomials are closed under multiplication is 1x⋅x=1. To multiply and simplify [tex]x^2⋅x⋅x^5[/tex]onents are added. To multiply and simplify[tex](3x+7)8x^2,[/tex]ive property is used.

Explanation:

The equation that does not support the fact that polynomials are closed under multiplication is 1x⋅x=1. When multiplying two polynomials, the degree of the resulting polynomial is the sum of the degrees of the two original polynomials. In this case, the degree of the resulting polynomial would be 2, but the equation implies a polynomial of degree 0, which is not possible.

To multiply and simplify[tex]x^2⋅x⋅x^5[/tex]he exponents when multiplying the same base. So,[tex]x^2⋅x⋅x^5 = x^(2+1+5) = x^8.[/tex]

To multiply and simplify [tex](3x+7)8x^2,[/tex] distributive property. We multiply each term in the first polynomial by each term in the second polynomial. So, [tex](3x+7)8x^2 = 24x^3 + 56x^2.[/tex]

Answer: The nth term of a geometric progression is Tn = ar^(n-1)

A. 12

B. 3.6

C. -3/4

D. 0.6

Step-by-step explanation:

The nth term of a geometric progression is Tn = ar^(n-1)

Where Tn= nth term

a = first term

r = common ratio

n = number

A. a6 = (2*6) = 12

B. a6 = (0.6*6) = 3.6

C. a6 = (-1/8*6) = -3/4

D. a6 = (0.1*6) = 0.6