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3 years ago

10

An animal shelter reports that the number of dogs in the shelter is 6 less than twice the number of cats. There are a total of 1

59 animals in the shelter.

2 answers:

Anna71 [15]3 years ago

7 0

159/2 =79-6
the answer is 73

igomit [66]3 years ago

7 0

Your answer is most likely 59 not 100 percent sure but i am 89 percent sure

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Add fraction 6 4/5 + 3 7/10 how do i add this fraction

Dafna1 [17]

The answer is 10 1/2.

First you need to convert 4/5 and 7/10 so the denominator is the same. 4/5=8/10, 7/10 stays the same.

Now we add= 6 8/10 +3 7/10 =9 15/10.
9 15/10=10 5/10=10 1/2.

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7 0

3 years ago

Read 2 more answers

If we reject the null hypothesis, h0: ρ = 0 , what can we conclude about the population correlation coefficient?

ehidna [41]

If the null hypothesis, $H_0:\:\rho =0$ is rejected, then we can conclude that the correlation coefficient is significant. This means that there is enough evidence to conclude that a relationship exists between the two (or more) variables involved in the regression.

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3 years ago

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

$145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}$

$ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes$

4 0

3 years ago

50 POINTS!!! Macy's has a sale on winter coats during the month of February. A coat is on sale for $175. This is 22% off the ori

klio [65]

1. First consider the unknown original price as 'x'.

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3 years ago

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

yan [13]

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

4 0

4 years ago