Answer:
Step-by-step explanation:
First we are going to find the function which models the height of the
periscope lens at time t.
Let the 2 be height of the periscope.
The height of the periscope at the beginning is 24 inches. It ascends at 6
inches per second. The expression which describes how much it has raised,
at the moment, is 6t.
The function is sum of beginning height and how much it has raised, 2 = 24 + 6t.
To find maximum height of the periscope, we need to evaluate function
for + = 22.
2 = 24 + 6(22)
= 24 + 132
156
Substitute 22 for t.
Multiply.
Maximum height in inches is 156.
We know that 1 foot is 12 inches.
So the function that describes converting feet to inch is y :
= 12x. Where y
represents number of inches and a number of feet.
U = 12.2
156
12x
12
-n=
156
12
2 = 13
Substitute 156 for y.
Divide both sides by 12.
Maximum height in feet is 13.
The height function modeled by the periscope is an illustration of a linear function.
The height function modeled by the periscope is [tex]\mathbf{h(t) = 24+ 6t}[/tex]The maximum height is 156 inchesThe given parameters are:
[tex]\mathbf{Start = 24\ inches}[/tex]
[tex]\mathbf{Rate = 6\ inches/second}[/tex]
The function model of the height is calculated using:
[tex]\mathbf{h(t) = Start + Rate \times t}[/tex]
Where: t represents the time in seconds
So, we have:
[tex]\mathbf{h(t) = 24+ 6\times t}[/tex]
This gives
[tex]\mathbf{h(t) = 24+ 6t}[/tex]
After 22 seconds, the height of the periscope would be
[tex]\mathbf{h(22) = 24+ 6 \times 22}[/tex]
Multiply
[tex]\mathbf{h(22) = 24+ 132}[/tex]
Add
[tex]\mathbf{h(22) = 156}[/tex]
Hence, the maximum height is 156 inches
Read more about linear functions at:
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What is -3.5 divided by 7?
Answer: -0.5
-3.5 / 7 = -.5
The value is -1/2.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
-3.5 ÷ 7
This can be written as a fraction.
= -3.5/7
Remove the decimal point.
= -35/70
Divide both the numerator and denominator with 7.
= -5/10
Divide both the numerator and denominator with 5.
= -1/2
Thus,
The value is -1/2.
Learn more about expressions here:
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at an ice cream social, 56 people orderd chocolate ice cream while 32 people ordered vanilla ice cream. at a different event, 42 people bought chocolate and 30 bought vanilla. does this event have the same ratio of chocolate to vanilla purchases ad the ice cream social from (a)? justify.
Answer:
1st event ratio is 7:4 2nd event is 7:5
Step-by-step explanation:
The ratios are not the same. During the 2nd event, FIVE people bought vanilla ice cream for ever 7 that bought chocolate. During the 1st event, FOUR people bought vanilla ice cream for every 7 that bought chocolate.
an ordered pair has coordinates that have the same sigh. in which quadrants couls the point lie explain
HELP!!!!!!
whats the scientific notation of 30 x 10 to the power of -8
Answer:
[tex]3 \times 10 ^{ - 7} [/tex]
determine if the mapping diagram represents a function
Answer:
Yes, because each domain have only one range.
Step-by-step explanation:
Evaluate the expression and write your answers as a fraction in simplest form.-1/19+(-3/19)
Answer:
-4/19 is the answer.
Step-by-step explanation:
Kayla works at flower store.the owner tells kayla he wants to take 10 percent off a 18.00$ bouquet. If the bouquet still doesn’t sell the owner will again reduce the sale price by 15 percent. Kayla tells the owner the original price by 25 percent because the sale price would be the same
Kayla is wrong because the calculation will give different amounts since one gave $13.77 while the other one was $13.50.
Taking 10% off and then 15% off will give a price that will be calculated thus:
= $18 - (10% × $18)
= $18 - $1.80
= $16.20
Taking 15% off will then be:
= $16.20 - (15% × $16.20)
= $16.20 - $2.43
= $13.77
Now taking 25% off directly firm $18.00 will give:
= $18.00 - (25% × $18.00)
= $18.00 - $4.50
= $13.50
Therefore, Kayla is wrong.
Read related link on:
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solve the equation for x: 3(m+7)=6(m+2)
Answer:
3
Step-by-step explanation:
There is no x in the equation, so I will assume solving for m
Distribute:
3m + 21 = 6m + 12
Subtract 3m and 12
3m = 9
Divide by 3
m = 3
Use the graph to find the slope (m) and y-intercept (b)
Answer:
Slope=4 y-intercept=(0,-21) or -21
Step-by-step explanation:
To find slope
m=-13-(-17)/2-1
m=4/1
m=4
To find y-intercept
y-(-17)=4(x-1)
y+17=4(x-1)
y+17=4x-4
Subtract both sides by 17
y=4x-21
y-intercept=-21
Can someone help me plz
BRainliest plus 50 points
Determine whether the lines AB and CD would be parallel, perpendicular, or neither?
A(-5,3) and B(-5, 7)
What is the slope of AB?
C(1, 9) and D(-10, 9)
What is the slope of CD?
What are the lines? (parallel, perpendicular or neither)
Answer:
Perpendicular
slope Ab = undefined
slope Cd = 0
Step-by-step explanation:
slope AB = undefined, a vertical line has no slope
slope CD = 0 (a horizontal line has no slope)
Answer:
AB: Undefined
CD: 0
Perpendicular
Step-by-step explanation:
Slope is the change in y over the change in x
(sometimes called "rise over run")
Formula looks like this:
[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
First let's find the slope of AB
[tex]\frac{7-3}{-5 --5 }[/tex]
[tex]\frac{7-3}{-5 +5 }[/tex]
[tex]\frac{4}{0}[/tex]
Undefined
Then the slope of CD:
[tex]\frac{y_{2} -y_{1}}{x_{2} - x_{1} }[/tex]
[tex]\frac{9 -9}{-10 - 1 }[/tex]
[tex]\frac{0}{-11 }[/tex]
0
If they are parallel they will have the same slope, perpendicular lines have negative reciprocals as the slope, and neither is neither
Comparing the slope of our lines lead us to know that the two lines are perpendicular because AB is vertically up + down and CD is horizontally right + left
I hope this is correct and helps, have a nice day :D
See attached file for a photo example :)
PLEASE HELP!! Pleaseee
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given angles are forming alternate interior pair, so :
[tex]4x - 2 = 3x + 6[/tex][tex]4x - 3x = 6 + 2[/tex][tex]x = 8[/tex]hence, value of x = 8°
plz help....................
Answer:
A) x = 7
Step-by-step explanation:
Step 1: Subtract 8 from both sides.
[tex]x+ 8 - 8 = 15 -8[/tex] [tex]x = 7[/tex]Therefore, the correct answer is A) x = 7.
Answer:
x=7
Step-by-step explanation:
x+8=15
x+8-8=15-8
x=7
I need help please!!!
Answer:
yes yes ok you need help mr
You just had a child. You would like to have $50,000 for her college in 18 years. If the account earns 5% compounded monthly. How much will you need to deposit now to reach your goal? Round to the nearest dollar. (do not round until the very end)
Answer:
Step-by-step explanation:
I=PRT
I=50000000000×5÷100×18
I= 5000000000×0.5×18
I=45,000,000,000
8 A high-speed train travels at a maximum speed of 320 kilometres
per hour (km/h).
Work out the maximum speed of this train in metres per second (m/s).
Give your answer to the nearest whole number.
Answer:
km/hr to m/s = × 5/18
Step-by-step explanation:
320 ×5/18
=89m/s
i) A new energy drink called
cost $3 25 per can. Can you buy 8 cans if you have $26?
Hint: The question is asking if 8 cans is a solution. Write the equation, then check by substitution.
Step-by-step explanation:
i) [tex]\sf 3,25 =\dfrac{13}{4} \\\\ Then :\\\\ 1 \ cans -\$3,25 \\\\8 \ cans -\$\ x \\\\ x=\dfrac{13}{4} \cdot 8=\$26 \Rightarrow yes \\\\ \rm \boldsymbol { \rm Answer: \ 8 \ cans \ of \ energy \ \ costs \ \exactly \ 26\$}[/tex]
Find the missing angle
25 points in it for you plus a thanks, brainliest and 5 star
Answer:
[tex]27.82 \degree[/tex]
Step-by-step explanation:
To find the unknown angle use tan rule
[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]
Let the unknown angle be x
[tex] \tan(x) = \frac{o}{a} \\ \tan(x) = \frac{19}{36} \\ \tan(x) = 0.5277 \\ x = \tan ^{ - 1} 0.5277 \\ x = 27.82 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
125 pounds decreased by 4%
Answer:
Step-by-step explanation:
It would be 120 because 4% of 125 is 5, so you subtract 5 from 125 to get 120. I am pretty sure that's how you do it.
Answer:
The answer would be 5
Step-by-step explanation:
Percentage decrease =
4% × 125 =
4 ÷ 100 × 125 =
4 × 125 ÷ 100 =
500 ÷ 100 =
5
the 1996 population of San Diego, California, was estimated to be about 1,170,000. This was about 3/7 of the estimate for Chicago. What was the approximate of Chicago?
³√9³ x √30²
I'm so stuck please help me!
Answer:
Step-by-step explanation:
find the segment
plz solve
Answer:
60 unitsStep-by-step explanation:
Use the ratio of corresponding sides of similar triangles:
25/x = x / 144x² = 25*144x = √25√144x = 5*12x = 60Picture included help stuck on this question
Determine the focus of the parabola with the equation x2 - 6x + 5y = -34. Enclose answers in parentheses.
Answer:
jahahahaahhsydsywuwks
solve for g
E=5gh
g=?
Answer:
[tex]g = \frac{E}{5h}[/tex]
Step-by-step explanation:
To solve for g, given the equation: E = 5gh
Divide both sides by 5h:
[tex]\frac{E}{5h} = \frac{5gh}{5h}[/tex]
[tex]\frac{E}{5h} = g[/tex]
Answer:
E=5gh
E/5h=g
g=e/5h
Step-by-step explanation:
.......
another easy 8th grade problem for u guys to help me with aha
scale the numerator and the denominator down by a factor of 3 (divide) to write a
fraction equivalent to 18/42
Answer:
6/14
Step-by-step explanation:
divide the numerator and denominator by 3. 18 / 3 is 6 and 42 / 3 is 14. So your answer is 6/14.
Answer:
6/14
Step-by-step explanation:
Scaling the numerator and denominator means to multiply or divide both numbers by some number. "Scaling down" means to divide both the numerator and denominator by some value (in this case, 3). So you would have to divide the numerator by 3 and the denominator by 3.
18 / 3 = 6
42 / 3 = 14
So you would get the equivalent fraction 6/14 when you scale down the numerator and denominator by 3.
DISTANCE FORMULA
find the distance between each pair of points round the answer to the nearest tenth
Step-by-step explanation:
The distance between 2 points is calculated with this formula:
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
• in the first exercise:
- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1
- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2
then apply the formula:
[tex] \sqrt{(4 - ( - 5)) {}^{2} + (0 - 1) {}^{2} } [/tex]
[tex] \sqrt{(4 + 5) {}^{2} + (- 1) {}^{2} } [/tex]
[tex] \sqrt{81 + 1} [/tex]
[tex] \sqrt{82 } =9.05[/tex]
you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)
• in the second exercise:
- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1
- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2
then apply the formula:
[tex] \sqrt{( - 4 - ( - 4)) {}^{2} + ( - 4 - 2) {}^{2} } [/tex]
[tex] \sqrt{(0) {}^{2} + (36) } [/tex]
[tex] \sqrt{36} = 6[/tex]
Which statements for 15.489 are true? Check all that are true. The digit 9 is in the tenths place. The digit 4 is in the tenths place. The digit 9 is in the thousandths place. The digit 8 is in the hundredths place. The digit 8 is in the thousandths place?
Digit 9 -1's place
Digit 4 - 100ths
Digit 8 - 10ths
Answer:
B. The digit 4 is in the tenths place
C. The digit 9 is in the thousandths place
D. The digit 8 is in the hundredths place
Step-by-step explanation:
A. The digit 9 is in the thousandths place
E. The digit 8 is in the hundredths place.
Hope it helped!
Find Y
25 POINTS plus BRAINLIEST, THANKS AND 5 STAR
Answer: 5[tex]\sqrt{3\\}[/tex]
Step-by-step explanation:
This triangle is a 30-60-90 triangle. This means that: x = 2a where a is the shorter leg of the triangle and x is the hypotenuse, and b = a[tex]\sqrt{3\\}[/tex] where b is the longer leg of the triangle.
Hypotenuse = 2 * the length of the shorter leg
Longer leg = [tex]\sqrt{3\\}[/tex] * the length of the shorter leg.
Since just visually speaking, y is the longer leg and 5 is the shorter leg, let's substitute y and 5 into the equation solving for the length of the longer side:
y = [tex]\sqrt{3\\}[/tex] * 5
y = 5[tex]\sqrt{3\\}[/tex]
how do you write 2500 in scientific notation
Answer:
2.5*10^3... two point five times ten to the power of three
Step-by-step explanation:
Answer:
2.5 × [tex]10^{3}[/tex]
Step-by-step explanation:
I think that is the write answer.
Lmk what u got.