The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.
For instantaneous speed and average speed are equal for an object moving with constant speed.
The total distance travelled is given as 496 miles.
And, the total time taken is 8 hours.
Average speed can be calculated by taking the ratio of total distance and time as follows,
Total distance ÷ Total time
⇒ 496 ÷ 8
⇒ 62
Hence, the average speed is given as 496 miles per hour.
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Brainliest if correct! Please explain how this is done!
In ΔABC, ∠B is a right angle, AB = 30, and sec A = 5/3. Find the value of csc C in fraction and in decimal form.
I will mark brainliest if you are correct!
The value of csc C in fraction and in decimal form is as follows:
csc C = 5 / 3
csc C = 1.66666666667
Using trigonometric ratio,
secant A = 1 / cos A = hypotenuse / adjacent
Therefore,
sec A = 5/3
sec A = 1 / cos A
cos A = adjacent / hypotenuse
cos A = 3 / 5
A = cos⁻¹ 0.6
A = 53.1301023542
Therefore,
∠A = 53°
∠B = 90°
∠C = 180 - 143 = 37°
cosec C = 1 / sin C = hypotenuse / opposite
cosec C = 5 / 3
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5) The bakers at Healthy Bakery can make 160 bagels in 5 hours. How many
bagels can they bake in 15 hours? What was that rate per hour?
Answer:
They can make 480 bagels in 15 hours. The rate is 32 bagels per hour. Hope this helped! if the answer is wrong i'm super sorry!
Step-by-step explanation:
160 = 5hr
160 x 3 = 480
5 x 3 = 15
480/15 = 32
what is (2i)^2? and is it a real or imaginary number?
Answer:
4i
Step-by-step explanation:
Distribute the 2, you get 4i.
It's imaginary because it has an i with it
Answer:
-4, real
Step-by-step explanation:
Hi there!
‘i’ is characterized as the sqrt of -1 or, alternatively, i^2= -1
If the problem is asking us to square i, then we know that it is going to equal -1. If we distribute the exponent, we would also square the 2, making it become 4. Now that we have done that, we multiply -1 and 4 to get a final answer of -4. This would be a real number as it is not imaginary.
I hope this can help!
Someone help me out on this math question?
Answer:
A. discrete
B. discrete
C. continuous
D. continuous
Step-by-step explanation:
When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.
__
When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.
How long does it take for sunlight to reach earth? Show Work!
Answer: 8.3 minutes
Step-by-step explanation:
The time t may be obtained using the speed distance equation s=d/t. Rearranged to solve for time it would be: t=s/v, where s is the distance between the Sun and Earth and v is the speed of light.
Sara is going to home depot to buy some plants for her back yard. The price of 4 rose bushes is $12 and the price of 5 tulips is $20. Sara ends up buying $80 worth of roses and tulip plants. Which equation represents the relationship between the number of rose bushes, x, and the number of tulip plants, y, that Sara bought at home depot?
Answer:
3r + 4t = 80
Step-by-step explanation:
Roses cost $3 each, tulips cost $4 each
The sum of three times a number and 5 is 32
Answer:
The number is 9.
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Let the no. be x.
[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]
evaluate the expression.
Answer:
The value of [tex](-25)^{\frac{1}{2} }=5i[/tex]
Step-by-step explanation:
We need to find [tex](-25)^{\frac{1}{2} }[/tex]
We have
[tex](-25)^{\frac{1}{2} }=\sqrt{-25} \\\\=\sqrt{25} \times\sqrt{-1} \\\\=5 i[/tex]
is y = 2/3x - 7 proportional or not?
Answer: No, it is not a direct proportion equation
Explanation:
Direct proportions are always in the form [tex]y = kx[/tex] where k is any nonzero real number. So for example, we could have the equation [tex]y = 9x[/tex]. The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.
Something like [tex]y = \frac{2}{3}x-7[/tex] has a y intercept of -7 and it doesn't fit the form [tex]y = kx[/tex], so it's not a direct proportion equation.
a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed
Answer:
10π
Step-by-step explanation:
First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.
So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ
SOMEONE HELP!!!!!!!!!!!!!!!!!!!! I would give more points but there are people who just write random things for an answers that isnt correct just to get points.
Answer:
a) 320 is correct
b) 20 more 18 year old students
Step-by-step explanation:
a) 320 is correct
b) 20 more 18 year old students: The only information we have in the 25 - 35 minute time frame is the data for 30 minutes:
12 years: 40 students
18 years: 60 students
Difference = 20 more 18 year old students than 12 year old students spent spent time on social media for 25 - 35 seconds.
A 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees. What was the temperature at 6pm
Answer:
-9 degrees
Step-by-step explanation:
-14 + 8 = -6
-6 + 2 = -4
-4 - 5 = -9
The temperature at 6pm dropped down to 5°.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees
We can write -
T{6 AM} = - 14°
T{12 PM} = 8°
T{3 PM} = (8 + 2)° = 10°
T{6 PM} = 10° - 5° = 5°
Therefore, the temperature at 6pm dropped down to 5°.
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Mrs. Crandall spent $42 on window shades that were on sale for a certain percent discount. The original price of the shades was $70. What percent was the discount?
a group of 3 people are sharing chocolates each person wants 8 chocolates and each box has 4 chocolates
Answer: not sure
Step-by-step explanation: uhhh this ain't clear. how many boxes are there?
30 POINTS John opens a savings account and decides to deposit $10 each month. Let x represent the number of
months that he has been saving, and y, represent the total amount of money saved.
7. What is the algebraic equation for John's saving plan?
8. How much money will John have saved in 14 months? In 6 months? Show your work and
explain.
9. In how many months will John have saved $100? $175? Show your work and explain.
10. What is the rate of change?
11. How does knowing the rate of change help you in answering questions in this problem?
12. Use your equation to complete the table representing John's savings:
# of Months Saving Account Balance ($)
0
1
2
3
4
Answer:
7.) y=10x
8.) $140 in 14 months, $60 in 6 months
9.) He will have saved $100 in 10 months and $175 in 17.5 months
10.) The rate of change is 10
11.) Knowing the rate of change helps you in answering this problem because it tells you how much money he saves per month.
12.)
0- $0
1- $10
2-$20
3-$30
4-$40
Step-by-step explanation:
7.) The standard form of a linear equation is y=mx+b
The starting balance is 0 so there is no point to adding b. M is the amount of money he deposits each month so that is 10. You plug in the values and you get y=10x (+0)
8.) y=10(14)
$140
y=10(6)
$60
9.) 100=10x
100/10= 10
10 months
175=10x
175/10=17.5
17.5 months
10.) The rate in change is m so 10.
Hope I explained this in simple enough terms. Have a good day!
(please help) how many lines of symmetry does the figure have ? type the number only
Hope you could get an idea from here.
Doubt clarification - use comment section
Let a and b stand for two different rational numbers. If |a|>|b|, then what else must be true?
its for imagine math
Answer:
dont now
Step-by-step explanation:
Please tell me the answer
Answer:
16 it's answer
Step-by-step explanation:
√121 + ³√125
11+5
16
Lyssa and Carlos own a hardware store. They sell a certain type of light bulb in packages that each contain 24 bulbs. The back of each package says, " The expected number of broken or defective packages per bulb is 0.25"
Lyssa says, "If we look at 100 packages, we expect to see a total of about 250 broken or defectve bulbs"
Carlos says, "Any given package most likely contains 0.25 broken or defective bulbs".
Which Statement is correct based on the expected value?
A. Only Lyssa
B. Only Carlos
C. Both Statements are correct.
D. Neither Statement is correct.
Answer:
Neither statement is correct
Step-by-step explanation:
Khan
Answer:
Neither statement is correct
Step-by-step explanation:
Answer on Khan Acadmey
What is the value of x when
Log×=-2.7777
And explain it easy
[tex]\log_{10} x = -2.7777\\\\\implies x = 10^{-2.7777}\\\\\implies x = \dfrac{1}{10^{2.7777}}\\\\\implies x = 0.00167[/tex]
Who has the shorter insect?
Solve this inequality for x.
Answer:
A
Step-by-step explanation:
81 - 1 1/5x [tex]\leq[/tex] 55
Subtract 81 from both sides
- 1 1/5x [tex]\leq[/tex] -26
Turn - 1 1/5 into the improper fraction -6/5
-6/5x [tex]\leq[/tex] -26
Divide by sides by -6/5 by multiplying by the reciprocal. This also changes the direction of the sign.
x [tex]\geq[/tex] 65/3
x [tex]\geq[/tex] 21 2/3
Help me, I'm really tired atm
Step-by-step explanation:
6/15 = 12/30 = 24/60 = 48/75
Answer:
Step-by-step explanation:
What is -2×-4 in mathematics
Answer:
8
Step-by-step explanation:
negative times a negative equals a positive
solve 2y - 18 = -26 for y
Answer:
y=-4
Step-by-step explanation:
2y-18=-26
2y=-26+18
=-8
y=-8÷2
=-4
A rectangle with a width of 4.6 inches has an area of 23 inches squared. What is the length?
Answer:
length = 5
Step-by-step explanation:
area = length × width
23 = length × 4.6
23 ÷ 4.6 = length
5 = length
The area of a circular field is 16π square miles. What is the diameter of the field in miles.
Answer:
8
Step-by-step explanation:
1. Divide the area (in square units) by Pi (approximately 3.14159).
2. Take the square root of the result. This is the radius.
3. Now double the radius to get the diameter
Answer:
8 miles
Step-by-step explanation:
When given area, we use the formula of 2√(area/pi). It may look slightly complex, but in this equation, we are fortunate that pi is in our area. This essentially cancels out the pi in the equation, simplifying it to √(16), which is simply 8!
Hope this helps you!
Find the area of the given figure :
Answer:
formula for area is length × height
so we have 13+8 ×16+4
21×20 = 420m
NEED HELP QUICK I WILL GIVE BRAINLIST
Answer:
What is it that you need?
PLS HELP I WILL MARK BRAINLIEST!!! IT IS NOT 72
Answer:
52
Step-by-step explanation:
Answer:
I believe it's 56
Hope this helps