Answer:
80
Step-by-step explanation:
50+50=100-20=80
a mailbox is 55 inches tall and casts a shadow that is 70 inches long. a nearby flagpole casts a shadow that is 196 inches long. how tall is the flagpole?
Answer:
154 inches tall.
Step-by-step explanation:
In this scenario, the sun's angle is the same for both objects. Since we have three values and 1 variable (height of the pole) we can use the Rule of Three to solve this. In this, we simply multiply the diagonal values of the ratios and divide by the third value to get the value of the variable like so...
55 in. <=====> 70 in.
x <=========> 196 in.
(55 * 196) / 70 = x
10,780 / 70 = x
154 in. = x
Finally, we can see that the flagpole is 154 inches tall.
can a theorem easily be proved by using corollary
Answer:
Yes, of course
Step-by-step explanation:
Corollary simply means the similar case or alike. So we can apply same theorem. Although it may be lengthy and bit tricky but its easy to prove.
Which of the following is a logical conclusion based on the two statements below? If Jake forgets his snack, then he will be hungry at school. Jake forgot his snack. A. Jake was not hungry at school. B. Jake ate his snack. C. Jake also missed breakfast. D. Jake was hungry at school.
Answer:
I believe that the answer is either C or D
Step-by-step explanation:
Jake forgot his snack, which could mean that he was hungry at school. But it could be logical to assume that he forgot his breakfast. I may be wrong in both cases, but these are my best guesses!
test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.
Answer: yeah looks logically correct
Step-by-step explanation: I he got the watch he was 1st
Fact is he didn't get the watch therefore he wasn't first
Therefore 2nd holds true also - if not first then not in station
No watch = not in station
Engineers speculate that W, the amount of weight (in units of 1000 pounds) that a certain span of a bridge can withstand without structural damage resulting, is normally distributed with mean 400 and standard deviation 40. Suppose that the weight (again, in units of 1000 pounds) of a car is a random variable with mean 3 and standard deviation.3. Approximately how many cars would have to be on the bridge span for the probability of structural damage to exceed .1?
A. 106
B. 123
C. 120
D. 115
E. 117
Answer:
n = 116.2 ≈ 117
Option E) 117 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Exceed = 0.1
{ 1 - 0.1 = 0.9 }
normal table value at 0.9 = - 1.285
Normal table;
hence
( y - 400 ) / 40 = -1.285
y - 400 = -51.4
y = 400 - 51.4
y = 348.6
so,
348.6 = ∈(y) = ∈[ ⁿ∑[tex]_{i=1[/tex] X[tex]_i[/tex] ]
348.6 = n.∈( X[tex]_i[/tex] )
we substitute
348.6 = n × 3
n = 348.6 / 3
n = 116.2 ≈ 117 { roundup since we talking of number of cars i.e sample size }
Option E) 117 is the correct answer.
Four students share 7 feet of ribbon equally. How many feet of ribbon does each student get? 7 ÷ 4 = 7 4 = 4 Each student's share is 4 feet of ribbon.
Answer:
Each student gets 1.75 ft of ribbon
Step-by-step explanation:
r × 4 = 7
First, divide the given factor by itself in order to get the variable by itself.
4 ÷ 4
Next, divide the product by the given factor bc what you do to the left, you must do to other side.
7 ÷ 4
Last, right down your new equation and find you solution.
New Equation: r = 1.75
Answer:
Step-by-step explanation:
Imagine that the intelligence test score (M=100, SD =15) is perfectly correlated with SAT score. Your Z score on SAT is +1.0, your intelligence test score is likely to be:
Answer:
115
Step-by-step explanation:
Given :
Mean of intelligence score = 100
Standard deviation of intelligence score = 15
Since both are perfectly correlated,
The Zscore ON SAT = +1.0
Using the standard normal interpretation, Xcore on SAT of +1.0 means 1 standard deviation to the right
This means :
Mean + 1 standard deviation
100 + 1*15
= 115
We could use the Zscore formula directly too:
Zscore = (x - mean) / standard deviation
Zscore = +1 ; x = score
Hence, we have
1 = (x - 100) / 15
1 * 15 = x - 100
15 = x- 100
x = 15 + 100
x = 115
what is the value of 642/3?
Step-by-step explanation:
[tex] \frac{642}{3} \\ [/tex]
= 214Answer:
[tex]214[/tex]
Step-by-step explanation:
[tex] \frac{642}{3} [/tex][tex] = 642 \div 3 \\ = 214[/tex]
Hope it is helpful...A shadow of a gurl standing in the sun is 110 cm long whereas the shadow of a 30cm ruler is 20 cm long how tall is Sierra?
Answer:
165 cm
Step-by-step explanation:
We solve using the rule
Shadow of ruler/Length of ruler = Shadow of the girl /Length of the girl
Shadow of ruler = 20cm
Length of ruler = 30cm
Shadow of the girl = 110cm
Length of the girl = x
Hence:
20/30 = 110/x
Cross Multiply
20x = 30 × 110
x = 30 × 110/20
x = 165 cm
Therefore, Sierra(the girl) is 165cm tall
What are the answers to this someone please help.
1234567890233572o7o5y345uo22u.3936584643728284/43794729237932972478864966666666666666666666666666666666663870434573428734907 goood luck!
What are the values of m and in the diagram below?
Find the image of the given point under the given translation. P(-7, 1) T(x, y) = (x + 9, y-3) P' = ([?], []). Enter the number that belongs in the green box Enter
Answer:
P’ is (2,-2)
Step-by-step explanation:
For us to get the appropriate translation, we have to add 9 to the x-coordinate value and subtract 3 from the y-coordinate value
so, we have the transformation as follows;
(-7+9, 1-3)
= (2,-2)
If f(x)= 2x^5-3x^3+2x^2+1, then f(1)=?
A. -1
B. 0
C. 1
D. 2
E. 4
Answer:
2
Step-by-step explanation:
f(x)= 2x^5-3x^3+2x^2+1
Let x=1
f(1)= 2(1)^5-3(1)^3+2(1)^2+1
= 2*1 -3*1+2(1) +1
= 2-3+2+1
2
[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]
Let's try![tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{\tt{ \color{green}f(x) = 2 }}[/tex]________
#LetsStudy
Compute the volume of the following composite solid
=======================================================
There are a few ways to do this.
One way is to slice horizontally to break up the L shape into two separate rectangular blocks. Refer to the diagram below to see what I mean.
The block on top has length 80-60 = 20 mm (horizontal), width 10 mm, and height 40 mm.
The volume of this block on top is L*W*H = 20*10*40 = 8000 mm^3, where mm^3 means "cubic millimeters"
The block down below has a length of 80 mm, width of 10 mm, and height of 60-40 = 20 mm (vertical). Its volume is L*W*H = 80*10*20 = 16000 mm^3
Add up the two volumes to get the overall volume: 8000+16000 = 24000 mm^3
---------------------
Another approach you could take is to do a vertical slice to form two separate blocks. You would follow similar steps mentioned in the section above to find the two volumes, and add up the smaller pieces.
Yet another way to find the answer is to find the area of the L shape, and then multiply that by the depth of 10 mm.
If two heterozygous individuals are crossed, what
percent of their offspring are also expected to be
heterozygous?
Complete the punnet square plssssss
Answer:
50%
Step-by-step explanation:
Example of Aa crossed with Aa (both hetero).
Outcomes are:
AA (homo)
Aa (hetero)
aA (hetero)
aa (homo)
So the ratio of hetero to all outcomes = 2:4 = 50%
Fine the area of a circle with radius 8 in.
Answer:
around 200.96
Step-by-step explanation:
circle area = pir^2
pi*8^2
pi*64
=around 200.96
The browns are moving across the counrty. Mr. Brown leaves 2.5 hours before Mrs. Brown, if he averages 75 mph and she averages 85 mph, how many hours will it take Mrs. Brown to catch up to Mr. Brown?
Answer:
the time taken by Mrs Brown to catch up is 18.75 hours
Step-by-step explanation:
Given;
average speed of Mr Brown = 75 mph
average speed of Mrs Brown, = 85 mph
time first traveled by Mr Brown = 2.5 hours
The distance traveled by Mr Brown before Mrs Brown start her own Journey;
D = speed x time
D = 75 mph x 2.5 h
D = 187.5 miles
Let the time taken by Mrs Brown to catch up = t
(85 - 75)t = 187.5
10t = 187.5
t = 18.75 hours
Check:
after 18.75 hours: Mrs Brown will travel ⇒ 18.75 x 85 = 1593.75 miles
after (2.5 h + 18.75h) : Mr Brown will travel ⇒ 21.25 x 75 = 1593.75 miles
1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1
[tex]\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n [/tex]
Combining like terms, we have
[tex] = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
What is the slope of the line? Khan academy
Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get
2 pan......................
.................
Answer:
1/8 of the whole pan
Step-by-step explanation:
Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.
What number is three times larger than 3×10 exponent
4 on top of the ten
What is the average rate of change of f over the interval [3,4]?
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = - 1 ← from table
f(a) = f(3) = - 5 ← from table , then
average rate of change = [tex]\frac{-1-(-5)}{4-3}[/tex] = [tex]\frac{-1+5}{1}[/tex] = 4
If using the method of completing the square to solve the quadratic equation
x^2– 10x + 21 = 0, which number would have to be added to "complete the
square"?
Answer: 25
Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.
The question is, what is that number?
Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.
So half of -10 squared or -5 squared which is 25.
So 25 is added to both sides.
Math help please and thank you
Answer:
Both m^2 and cm^2 are given below. Take your pick.
Step-by-step explanation:
Area = L * W
L = 1.57 m * 100 cm / 1 meter = 157 cm
W = 45 cm
Area = 157 cm * 45 cm = 7065 cm^2
In meters, the width would be 45 cm * 1 m / 100 cm = 0.45 m
Area = L * W
L = 1.57 m
W = 0.45 M
Area = 1.57 * 0.45
Area = 0.7065 m^2
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
Answer:
below
Step-by-step explanation:
that is the procedure above
Does anyone know if this is correct if not please let me know the answer
Answer:
The answer is negative, the one you chose in the picture.
Step-by-step explanation:
Positive slope would be going upwards.
Negative slope would be going downwards.
Slopes that are zero would be horizontal.
Slopes that are undefined would be vertical.
So, the reason why the slope is negative is that the line is going downhill.
Hope this is helpful
The volume of a cylinder is given by the formula V = pier2, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?
Answer:
The volume of the cylinder is defined by the expression .
[tex]V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)[/tex]
The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be V
Now , the radius of the cylinder is r = ( x + 8 ) units
The height of the cylinder is h = ( 2x + 3 ) units
And , Volume of Cylinder = πr²h
On simplifying , we get
The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³
The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )
The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³
Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³
To learn more about cylinder click :
https://brainly.com/question/16134180
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Complete the equation of the line through (-8,-2)(-4,6)
use exact numbers
Answer:
y = 2x + 14
Step-by-step explanation:
Hope this helps!!!
First, you have to find the slope by using
In other words,
The slope is 2.
Then you plug the rest into point-slope form (you can use either of the points, I used the first one)
Remember that m is the slope.
Distribute the slope to the parenthesis
Isolate the y variable
Answer:
2x+14
Step-by-step explanation:
Your throw your ball into a air from height of 4.2
Can someone please help ?!thank you !
Answer:
72
Step-by-step explanation:
67+5= 72