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3 years ago

11

Samantha is making soup. To make the broth, she combines 2/3 cup of vegetable stock and 2/3 cup of chicken stock. Boiling the br

oth causes 1/4 cup of the liquid to evaporate. How much broth is left after it is boiled.

1 answer:

Naya [18.7K]3 years ago

4 0

2/3 cup + 2/3 cup = 1 1/3 cups
1 1/3 cups - 1/4 = 1 1/8 cups

There will be 1 1/8 cups left after the broth has been boiled.

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Please help! its due in 10 mins

den301095 [7]

Answer:

144

Step-by-step explanation:

sorry if im wrong its been awhile since ive done this

4 0

3 years ago

Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A

Vesna [10]

Answer: The required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

Step-by-step explanation: We are given to find the characteristic polynomial of the following 3 × 3 matrix A with unknown variable x :

$A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].$

We know that

for any square matrix M, the characteristic polynomial is given by

$|M-xI|=0,$ where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

$|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.$

Thus, the required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

6 0

3 years ago

Write in radical form

Studentka2010 [4]

Step-by-step explanation:

I'll do one for you.

Using the formula for turning exponents into radicals

$(b) {}^{ \frac{x}{y} } = \sqrt[y]{b} {}^{x}$

where b is the base

This means that the numerator in the exponet form becomes the power under the radical in radical form and

the denominator in exponet form becomes the nth root in radical form.

For example 5,

$(5) {}^{ \frac{ - 3}{5} }$

That becomes in radical form

$\sqrt[5]{5 {}^{ - 3} }$

or if you want to write it using positive exponents

$\frac{1}{ \sqrt[5]{5 {}^{3} } }$

I'll do one more for you

For example 6,

$11 {}^{ \frac{4}{3} }$

That becomes in radical form

$\sqrt[3]{11 {}^{4} }$

4 0

3 years ago

Whoever answers correctly gets 45 points

dimulka [17.4K]

m<1=23

m<2=90

m<3=67

m<4=113

m<5=67

the square means it is 90° so 2 is 90°.

all of the angles combined equals 360 so.

360-67-90= 203

since there is a straight line splitting down the middle. m<4=180-67=113

so m<4=113

now you would go 360-67-113-90=90 so

m<1 + m<3 =90

180-90-67=23.

m<1=23

360-67-23-90-113=67

m<3=67

5 0

3 years ago

Suppose systolic blood pressure of 17 year female is approximately distributed with a mean of 118mmHg and a standard deviation o

Artemon [7]

Answer:

a) 0.383

b) 0.375

Step-by-step explanation:

a) Calculate each z-score.

z = (x − μ) / σ

z₁ = (112 − 118) / 12 = -0.5

z₂ = (124 − 118) / 12 = 0.5

Use a calculator or z-score table to find the probability.

P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383

b) 0.383 × 16 ≈ 6. So the expected proportion would be 6/16 = 0.375.

8 0

3 years ago