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3 years ago

a bottle of ketchup contains 40 oz of ketchup. How many 1/2 oz servings can you get out of one bottle?

Mathematics

1 answer:

In-s [12.5K]3 years ago

8 0

Answer:

you can get 80 1/2 oz servings.

Step-by-step explanation:

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Licemer1 [7]

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3 years ago

If P(C)=.29, P(D)=.47 and P(C and )= 0, are the events C and D mutually exclusive? Find P(C or D)

abruzzese [7]

Answer:

Step-by-step explanation:

note : P(C or D) = P(C)+P(D) - P(C and )

P(C or D) =0.29+0.47- 0

P(C or D) = 0.76

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3 years ago

6th grade help please math

givi [52]

1) 12 cookies per hour
2) train travels 80 miles per hour

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4 years ago

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compute the projection of → a onto → b and the vector component of → a orthogonal to → b . give exact answers.

Nina [5.8K]

$\text { Saclar projection } \frac{1}{\sqrt{3}} \text { and Vector projection } \frac{1}{3}(\hat{i}+\hat{j}+\hat{k})$

We have been given two vectors $\vec{a}$ and $\vec{b}$ , we are to find out the scalar and vector projection of $\vec{b}$ onto $\vec{a}$

we have $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{i}-\hat{j}+\hat{k}$

The scalar projection of $\vec{b}$ onto $\vec{a}$ means the magnitude of the resolved component of $\vec{b}$ the direction of $\vec{a}$ and is given by

The scalar projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|}$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\sqrt{1^2+1^1+1^2}} \\&=\frac{1^2-1^2+1^2}{\sqrt{3}}=\frac{1}{\sqrt{3}}\end{aligned}$

The Vector projection of $\vec{b}$ onto $\vec{a}$ means the resolved component of $\vec{b}$ in the direction of $\vec{a}$ and is given by

The vector projection of $\vec{b}$ onto

$\vec{a}=\frac{\vec{b} \cdot \vec{a}}{|\vec{a}|^2} \cdot(\hat{i}+\hat{j}+\hat{k})$

$\begin{aligned}&=\frac{(\hat{i}+\hat{j}+\hat{k}) \cdot(\hat{i}-\hat{j}+\hat{k})}{\left(\sqrt{1^2+1^1+1^2}\right)^2} \cdot(\hat{i}+\hat{j}+\hat{k}) \\&=\frac{1^2-1^2+1^2}{3} \cdot(\hat{i}+\hat{j}+\hat{k})=\frac{1}{3}(\hat{i}+\hat{j}+\hat{k})\end{aligned}$

To learn more about scalar and vector projection visit:brainly.com/question/21925479

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1 year ago

If miley has 200 pencils and Katie has 300 more pencils then how many more does Katie have then miley

Yakvenalex [24]

Answer: 300

Step-by-step explanation: 300+200=500

then 500-200=300

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4 years ago

Read 2 more answers