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4 years ago

8

What is the weight in grams of a liquid that exactly fills 163.5 ml container if the density of the liquid is .492 G / milliliIt

ers

1 answer:

fenix001 [56]4 years ago

8 0

density= mass/volume 0.492=mass/163.5 mass=0.492*163.5 mass =80.448gram. Hope this helps!

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The discriminant if a quadratic equation is negative. One solution is 4 + 7i. What is the other solution? *

Llana [10]

<h3>Answer: B) 4 - 7i</h3>

==========================================================

Explanation:

When you have a quadratic in the form ax^2 + bx + c = 0, where a,b,c are real numbers, then a negative discriminant leads to having a pair of complex roots. The roots come in conjugate pairs meaning that p+qi is one root while p-qi is the other root. The p,q are real numbers.

In the case of 4+7i being one root, we have p = 4 and q = 7, since it matches with p+qi. The other root must be 4-7i since it matches with p-qi.

In short, we flip the plus to a minus when going from 4+7i to 4-7i. All of this applies when we have a,b,c as real numbers.

If we allowed a,b,c to be complex numbers, then the roots may not necessarily come in conjugate pairs.

8 0

3 years ago

Solve -4x(6x+3)= -12(x+10)

scoundrel [369]

the answer to this problem is either 5 or -5

4 0

3 years ago

Read 2 more answers

3 groups of students went to the burger barn for a study break and snack. the first group ordered 4 burgers, 5 fries, and 7 drin

lora16 [44]

Answer:

Cost of one burger, a = $3.35

Cost of one fries, b = $0.9

Cost of one drink, c = $1.1

Step-by-step explanation:

Let

a be cost of one burger

b be the cost of on fry

c be the cost of on drink

So for the 1st group, 4a+5b+7c = $25.60 -----------(1)

for the 2st group, 8a+5b+6c = $37.90 ----------(2)

for the3st group, 12a+10b+11c = $61.30 ----------(3)

Now solving (1) and (2)

That is (1) x 2 - (2) gives,

5b+8c = 13.80 ----------------------(4)

Now, (1) x 3 - (3), we get

5b+10c = 15.5 ---------------------(5)

Solving (4) and (5), we get

c = 1.1

Now putting c in equation (4), we get

b = 0.9

Now from (1), we get

4a+5b+7c = $25.60

4a+5(0.9)+7(1.1) = $25.60

a = 3.35

Cost of one burger, a = $3.35

Cost of one fries, b = $0.9

Cost of one drink, c = $1.1

7 0

4 years ago

5x^2-41x+8=0 please helpp

jeka94

Answer:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

4

1

+

8

=

0

5x^{2}-41x+8=0

5x2−41x+8=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

4

1

b={\color{#e8710a}{-41}}

b=−41

=

8

c={\color{#129eaf}{8}}

c=8

=

−

(

−

4

1

)

±

(

−

4

1

)

2

−

4

⋅

5

⋅

8

√

2

⋅

5

2

Simplify

3

Separate the equations

4

Solve

Solution

=

8

=

1

5

7 0

3 years ago

Read 2 more answers

1. Find the circumference of a circle with a radius of 23 inches. *

xeze [42]

Answer:

I think 46

Step-by-step explanation:

can't really explain I just know

6 0

3 years ago