Answer:
Kay's husband drove at a speed of 50 mph
Step-by-step explanation:
This is a problem of simple motion.
First of all we must calculate how far Kay traveled to her job, and then estimate the speed with which her husband traveled later.
d=vt
v=45 mph
t= 20 minutes/60 min/hour = 0.333 h (to be consistent with the units)
d= 45mph*0.333h= 15 miles
If Kay took 20 minutes to get to work and her husband left home two minutes after her and they both arrived at the same time, it means he took 18 minutes to travel the same distance.
To calculate the speed with which Kate's husband made the tour, we will use the same initial formula and isolate the value of "V"
d=vt; so
v=
d= 15 miles
t= 18 minutes/60 min/hour = 0.30 h (to be consistent with the units)
v=
Kay's husband drove at a speed of 50 mph
To find the incompleted portion of the test, convert the decimal to a percentage by moving the decimal two places to the right. .7 as a percentage is 70%. subtract 70% from 100%, giving you 30%. Juan has not completed 30% of his test, or 5 questions.
Answer:
See below
Step-by-step explanation:
<em>On the graphs we see transformations of exponential functions</em>
<h3>Graphic 1 = Horizontal shift </h3>
- f(x) = 2ˣ is the parent function
- g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
- h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
- p(x) = (1/3)ˣ is the parent function
- r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
- q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units
First, we want to ask "What number divided by 7 <em>is </em>800?" That'll give us a jumping off point to answer the rest of the question.
If dividing some number by 7 gets us 800, that means that <em>multiplying </em>800 by 7 should get us back that number. We find that 800 x 7 = 5600. The first number higher than 5600 is 5601, which, when divided by 7, gets us about 800.14, a number greater than 800. So the lowest whole number that makes the inequality ? ÷ 7 > 800 work is 5601.
Answer:
Step-by-step explanation:
Circle F and J are congruent.
Given that: m∠DFE = 80°
DFE is the central angle of the circle F.
The measure of arc GH is equal to the central angle of Circle J.
Since both circles are congruent
The measure of arc GH is 80 degrees.
