Answer:
6'4"=76"
4'8"=56"
76-56=20
20"=1'8"
Mark is 1.66663 feet taller than John.
What is Unit conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
John is 4 feet 8 inches tall.
= 4+ 8(0.0833333)
= 4+ 0.666667
= 4.6666667 feet
Mark, is 6 feet 4 inches tall
= 6 + 4 (0.0833333)
= 6+ 0.33333
= 6.3333 feet
So, Mark is = 6.33333- 4.66667 = 1.66663 feet taller
Hence, Mark is 1.66663 feet taller than John.
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what does y intercept mean ?
Answer: The vertical line on a graph representing the vertical coordinate points.
Answer:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.
Step-by-step explanation:
Plsss help!!!!!!!!!!!
plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
1 hour 42 minutes 1 hour 32 minutes+1 hour 38 minuts+1 hour 30 minutes
Answer:
382
Step-by-step explanation:
Just add all of them and 1 hour equals 60 mins
First, lets add the hours.
1 hour + 1 hour + 1 hour = 3 hours
Now, let's add the minutes,
42 minutes + 32 minutes + 38 minutes + 30 minutes = 142 minutes
1 hour = 60 minutes
How many grouped 60's are there in 142? There are 2 full 60s in 142 minutes.
2 60s = 120 minutes
Add 2 hours, but subtract 120 minutes.
142 minutes - 120 minutes = 22 minutes
So, the final answer is 5 hours and 22 minutes.
If this helps, please mark brainliest!
Have a wonderful day!
5th grade math. correct answer will be marked brainliest
Answer:
12 yd and 2 ft
Step-by-step explanation:
a coin collection consists of nickels, dimes, and quarters, and has a total value of $3.30. there are three times as many nickels as quarters. how many coins of each kind are there if the number of dimes is three less than the average of the number of quarters?
Answer:
18 nickels, 9 dimes, 6 quarters.
Step-by-step explanation:
Basically, I just made a money table and used it to get my equation, which is: 60x-30=330, to get how many quarters there are. Then, plug that in to the problem and you have your answer.
solve for b
b − 326 = 411
Answer:
b = 737
Step-by-step explanation:
b - 326 = 411
+ 326 +326
b = 737
Answer:
b = 411 - 326
b = 85
I hope this will be helpful
Find the slop help please
jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interest will she earn over 5 years
Answer:
9927.5$
Step-by-step explanation:
4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.
I need answer plz I beg I will give you a good rating and also points.
Answer:
44.95+x <= $250
Step-by-step explanation:
its the second option
she spent $44.95 on the 2 books she already bought. if x represents what she has left to spend, the total has to be LESS THAN or EQUAL TO $250 when they're added, so the second option is correct.
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure, oil-filled submarine power cable, a company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm. What hypotheses should be tested, and why
Answer:
H0 : σ = 0.5
H0 : σ < 0.5
Step-by-step explanation:
From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.
Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.
H1 : σ < 0.5 ;
Therefore, our null will be ;
H0 : σ = 0.5
Which fraction is equivalent to 1?
One-half
Eight-sixteenths
Eleven-twelfths
Nine-ninths
Answer:
wefwdwddwd
Step-by-step explanation:
Answer:
Step-by-step explanation:
For each of the following situations, state the predictor variable and the outcome variable.
a. A study is done to determine if elderly drivers are involved in more motor vehicle fatalities than other drivers. The number of fatalities per 100,000 drivers is compared to the age of drivers.
b. A study is done to determine if the weekly grocery bill changes based on the number of family members.
Answer:
Part a
Predictor variable - age of drivers
Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers
Part b
Predictor variable - Number of family members
Outcome variable - weekly grocery bill
Step-by-step explanation:
Part a)
Predictor variable is basically independent variable whose influence is studied on the dependent variable or the outcome variable
Predictor variable - age of drivers
Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers
Part b
Predictor variable - Number of family members
Outcome variable - weekly grocery bill
Which expression is equivalent to 60 Σ n=1 (2n − 1)2 ? Check all that apply.
9514 1404 393
Answer:
B, D
Step-by-step explanation:
The quadratic expands to ...
(2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1
The coefficients can be factored out of the sum, so ...
∑(4n²) = 4∑n² for example
The sum of 60 ones is 60:
[tex]\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60[/tex]
So, the sum can be written as ...
[tex]\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}[/tex]
_____
It appears that the key to choosing the correct answers is paying attention to signs.
Answer: Step number 2 is 287,980
Step-by-step explanation:
Just did the assignment.
2(x + 4)2 = 20 solve by square roots
Answer:
x = − 4 ± √ 10,
Step-by-step explanation:
2(x + 4)² = 20
=> 2(x + 4) (x + 4) = 20
=> 2x + 8 (x + 4) = 20
=> 2x² + 8x + 8x + 32 = 20
=> 2x² + 16x + 32 = 20
=> 2x² + 16x + 12 = 0
=> Now solve using the quadratic formula:
x = − 4 ± √ 10,
Radical form: − 4 ± √ 10,
Decimal form: -0.84, -7.16
Hope this helps!
4. List two solids for which the formula V = Bh applies and 2 for which V = Bh does
not apply.
Step-by-step explanation:
V = Bh applies for :
1. the volume of prism
2. the volume of cylinder
V = Bh doesnt apply for :
1. the volume of pyramid
2. the volume of cone
The two solids where the formula V = bh applied is are prism volume, and cylinder volume. And, where the formula V = Bh does not apply is pyramid volume and cone volume
Listing of two solids:(1) Applied of formula V = Bh is :
The volume of a prismThe volume of the cylinder(1) Not Applied of formula V = Bh is :
The volume of the pyramidThe volume of a coneLearn more about the solid here: https://brainly.com/question/20784784
Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares. Find the volume V of this solid.
Answer:
Volume = [tex]\frac{64}{3}[/tex]
Step-by-step explanation:
Given - Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares.
To find - Find the volume V of this solid.
Solution -
Given that,
The equation of the line with both x-intercept and y-intercept as 4 is -
[tex]\frac{x}{4} + \frac{y}{4} = 1[/tex]
⇒x + y = 4
⇒y = 4 - x
Now,
Volume = [tex]\int\limits^a_b {A(x)} \, dx[/tex]
where
A(x) is the area of general cross-section.
It is given that,
Cross-sections perpendicular to the x-axis are squares.
So,
A(x) = (4 - x)²
As solid lies between x = 0 and x = 4
So,
The Volume becomes
Volume = [tex]\int\limits^4_0 {(4 - x)^{2} } \, dx[/tex]
= [tex]\int\limits^4_0 {[(4)^{2} + (x)^{2} - 8x] } \, dx[/tex]
= [tex]\int\limits^4_0 {[16 + x^{2} - 8x] } \, dx[/tex]
= [tex]{[16 x + \frac{x^{3}}{3} - \frac{8x^{2} }{2} ] } ^4_0[/tex]
= [tex]{[16(4 - 0) + \frac{4^{3}}{3} - \frac{0^{3}}{3} - 4 [4^{2} - 0^{2}] ] }[/tex]
= [tex]{[16(4) + \frac{64}{3} - 0 - 4 [16 - 0] ] }[/tex]
= [tex]{[64 + \frac{64}{3} - 64 ] }[/tex]
= [tex]\frac{64}{3}[/tex]
⇒Volume = [tex]\frac{64}{3}[/tex]
what is 7,548,392 rounded to 100
Answer:
7,548,400
Step-by-step explanation:
How many places do you need to move the decimal to the left to write the number below in scientific notation ? 1200000000000
Enter the coordinates of the
point on the unit circle at the
given angle.
-135°
Type + or -
V2
[? ]
2
12
>
2
Answer:
It's just negative, just enter this sign -
Step-by-step explanation:
The coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]
What are coordinates of point on the circle?"The coordinates of any point on the circle [tex]x^{2}+ y^{2}= r^{2}[/tex] are [tex](r~cos\theta,r~sin\theta)[/tex]"
Formula of sin(A ± B)sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B)
Formula of cos(A - B)cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
For given question,
We need to find the coordinates of the point on the unit circle at an angle -135°
We know, for unit circle radius = 1
So, the coordinates of any point on the unit circle would be [tex](cos\theta, sin\theta)[/tex]
Here, [tex]\theta=-135^{\circ}[/tex]
Now, we find the the value of [tex]sin(-135^{\circ}),~cos(-135^{\circ})[/tex]
[tex]sin(-135^{\circ})\\\\=-sin(135^{\circ})\\\\=-sin(180^{\circ}-45^{\circ})\\\\=-[sin(180^{\circ})cos(45^{\circ})-cos(180^{\circ})sin(45^{\circ})]\\\\=-[0\times \frac{1}{\sqrt{2} }-(-1)\times \frac{1}{\sqrt{2} } ]\\\\=-(0+\frac{1}{\sqrt{2} } )\\\\=-\frac{1}{\sqrt{2} }\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }\\\\=-\frac{\sqrt{2} }{2}[/tex]
and cos(-135°) would be,
[tex]cos(-135^{\circ})\\\\=cos(135^{\circ})\\\\=cos(180^{\circ}-45^{\circ})\\\\=cos(180^{\circ})sin(45^{\circ})+sin(180^{\circ})sin(45^{\circ})\\\\=((-1)\times \frac{1}{\sqrt{2}} )+(0\times \frac{1}{\sqrt{2} }) \\\\=-\frac{1}{\sqrt{2} }+0\\\\ =-\frac{1}{\sqrt{2}}\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2}\times \sqrt{2}}\\\\=-\frac{\sqrt{2} }{2}[/tex]
Therefore, the coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]
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PLS I NEED HELP FAST
Find the surface area of the cone.
Answer:
373.8
Step-by-step explanation:
Please help me with my homework and thank you
Answer:
14.4 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Hypothenus = 36 m
Height of building (H) = 33 m
Length of shadow (L) =?
The length of the shadow can be obtained as follow:
Hypothenus² = H² + L²
36² = 33² + L²
1296 = 1089 + L²
Collect like terms
1296 – 1089 = L²
207 = L²
Take the square root of both side
L = √207
L = 14.4 m
Therefore, the length of the shadow is 14.4 m
How many cubic blocks that are 4 inches on each side can fit into this box? A. 60 B. 20 C. 30 D. 15
Answer:
b
Step-by-step explanation:
What is the value of a in the right triangle shown below?
Answer:
Step-by-step explanation:
Ben and Jane have been approved for a $220,000 loan, 30-year mortgage with an APR of 3.82%. What will be their total interest for the 30 years?
The total interest on the loan will be $457,412,82892.
What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.
We can find the total interest on loan, using the formula -
I = {P(1 + APR/100)^t − P}
The principal amount of loan = $220,000
Compound APR = 3.82%
Time = 30 years
Using the formula, we get -
220,000[1 + 0.0382]^30−220,000
220000{[1 + 0.0382]^30 - 1}
$457,412,82892
Therefore, the total interest on the loan will be $457,412,82892.
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What is the missing term?
Answer:
- 15
Step-by-step explanation:
5 * -3 = -15
I need help on numbers 12,7,9,11,and 13
Answer:
7. 84 feet
9. 12320 yd
11. 30 inches
12. 26400 ft
13. 19 ft
hope this helps
have a good day :)
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.
Answer:
-1
Step-by-step explanation:
first put the equation in slop int form:
y= x-6
to find the slope of a line that is perpendicular take the negative reciprical of the slope
so the answer is
-x
if someone share two naira h ow mich Wii remain
3/4 * 8 WITH EXPLANATION PLEASE
I WILL MARK YOU BRAINLIEST
Answer:
6
Step-by-step explanation:
3/4 * 8 is really easy but.....
you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.
Answer:
6
Step-by-step explanation:
First you have to set it up 3/4 * 8/1
then you multiply the numerator and denominator to get 24/4 divide 24 by 4 to get 6, your final answer.