The product of three-fourths of a number and 7 is one-half of 672.

on the first day if the month, John counted his money and found he had $28.35. since then he has received an additional $17.26 f

barxatty [35]

Dude, this is simple addition. 28.35 + 17.26 = 45.61

He now has $45.61

8 0

3 years ago

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

a

f'(t) is negative

b

The unit is degC/min

c

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

So

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

3 years ago

A researcher investigates whether there is a relationship between hours of sleep and memory for photographs. The researcher assi

ehidna [41]

Answer:

It is the experimental condition.

Step-by-step explanation:

In the experiment given in the question, the amount of sleep is the independent variable and the number of photographs they remember is the dependent variable because it depends on the amount of sleep.

The 8 hours of sleep, which creates the difference in the experiment between the control group and the test group, is the experimental condition.

The experimental condition is the variable that is changed to let the researcher observe the effects on the dependent variable.

I hope this answer helps.

8 0

4 years ago

Read 2 more answers

Tom has 7/8 gallons of paint. He used 1/2 gallon of paint on a project. He uses the steps to show how much paint he had when he

WINSTONCH [101]

He made his mistake in Step 2. Tom should have subtracted 4/8 instead of 1/8. The mistake is that he was not consistent when he multiplied Denominators (bottom number) must be the same when handling fractions so Tom must multiply both the numerator and denominator by the SAME number to balance it out. 1/2 x 4/4= 4/8. Subtract. 7/8 - 4/8= 3/8. Tom has 3/8 of a gallon of paint leftover.

4 0

3 years ago

Read 2 more answers

Kendra was asked to find the number of students who planned to attend the evening sympothy performance. She was told that 40 per

ch4aika [34]

Answer:

It's B

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The product of three-fourths of a number and 7 is one-half of 672.​

The product of three-fourths of a number and 7 is one-half of 672.