Answer:
40ft
Step-by-step explanation:
The volume of a square pyramid is given by:
[tex]V=\frac{l^2h}{3}[/tex]
where V is the volume, l is the length of the square base, and h is the height.
Since we need to find the length, we solve for [tex]l[/tex] in the last equation:
[tex]l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }[/tex]
and now, we substitute the known values:
[tex]V=19,200ft^3\\h=36ft[/tex]
and we get the following:
[tex]l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft[/tex]
the length of the square base is 40ft
Too Tall Tower has office space below the 57th floor and condominiums above. Too Tall Tower is an example of a
HELPPPPP ASAP I NEED IT I BEG OF U I DONT UNDERSTAND THIS PLSSSSSSSS
Ross walks every morning. He can cover 6 miles in 2 hours.
His speed is___
miles per hour. He can cover_____
more miles in 4 hours than he can in 3 hours.
Answer:
speed = distance ÷ time
6÷2 = 3
his speed is 3 miles per hour
he can cover 3 more miles....
1. Joy bought jewelry at a crafts fair. She bought a necklace for $8 and
some bracelets for $5 each. She spent $23 in all. Write and solve equation
that can be used to find the number of bracelets she bought
Answer:
5y + 8 < 23 and y < 3
2c - 3 = 9
Step-by-step explanation:
She bought a jewelry at a craft fair . The necklace is $8 and the bracelet is $5 each. Her total expenses is $23.
She bought a single necklace. The number of bracelet she bought is unknown but each of the bracelet she bought is $5 each. The number of bracelet she bought can be represented below.
Let
y = number of bracelet bought
Therefore, the cost of the total number of bracelet will be 5y
Recall the total expenses is $23
5y + 8 < 23 and y < 3
if you insert the value of y in the following inequalities the resulting value should be less than 23 so the value of y should be less than 3.
2. 2c - 3 = 9
For a given rectangle, the length= 3x +2 and the width = 5. What is the area of the rectangle?
Answer:
15x+10
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Fill in the given values and simplify.
A = (3x+2)(5)
A = 15x +10
The area of the rectangle is 15x+10.
Answer:
[tex]15x + 10[/tex]
Step-by-step explanation:
[tex]area = length \times width \\ = 3x + 2 \times 5 \\ = 5(3x + 2) \\ = 15x + 10[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what dose x equal 4x + 4 = -7 +2x +19
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]4x + 4 = -7 +2x +19[/tex]
[tex]4x + 4 = 2x +12[/tex]
[tex]4x-2x=12-4[/tex]
[tex]2x=8[/tex]
[tex]x=8 \div 2[/tex]
[tex]x=4[/tex]
Step 1: Simplify both sides of the equation.
4x+4=−7+2x+19
4x+4=(2x)+(−7+19)(Combine Like Terms)
4x+4=2x+12
4x+4=2x+12
Step 2: Subtract 2x from both sides.
4x+4−2x=2x+12−2x
2x+4=12
Step 3: Subtract 4 from both sides.
2x+4−4=12−4
2x=8
Step 4: Divide both sides by 2.
2x/2 = 8/2
Description:
The first step is to Simplify both sides of the equation, when you do it correct and follow the steps above you equation will end up 4x+4=2x+12. For steps 2 Subtract 2x from both sides, when you do it correct your equation will end up like 2x+4=12. For step 3 you Subtract 4 from both sides, when you do it correct equation will end up like 2x=8. Last step is to Divide both sides by 2, when you do it correct your answer will come as x=4 .
Answer: x=4
Please mark brainliest
Hope this helps.
Nathaniel wants to build 50 birds using Lego blocks. How many birdhouses can he build at most with the remaining Lego blocks? Graph your solution.
Answer:
18
Step-by-step explanation:
Even if we both break down tonight
And you say you hate me
And we go to bed angry
I know everything will be alright
I'll be here waiting
I promise I'm changing
I just need
A little time to show you I'm worth it
I know that I can be a difficult person
I'm a stress case drive you up the wall when I'm workin'
Actually I'm prolly worse when I'm not you don't deserve it
Make you nervous 'cause you know I'ma break soon
Every time I do I say something that hurts you
Actin' like I'm gone, but we both in the same room
I don't like to be wrong which I know you relate to
And I know I make you feel like you're at the end of your road
That's when I look at you and tell you I'd be better alone
That's just the pride talkin' isn't it cause both of us know
Para ir a visitar a los abuelos Paula y Mario se ponen de acuerdo en que Paula vaya cada 5 días y Mario cada 6 días. Si coincidieron el 24 de diciembre,
a) ¿Cuándo volvieron a coincidir?
b) ¿Cuántas visitas habrá hecho cada uno?
Answer:
a) January 24(24 de Enero)
b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).
Step-by-step explanation:
When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.
In this question:
Paula each 5 days
Mario each 6 days
Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}
Multiples of 6: {0, 6, 12, 18, 24, 30, ...}
a) ¿Cuándo volvieron a coincidir?
lcm(5,6) = 30
30 days from December 24, which is January 24(24 de Enero).
b) ¿Cuántas visitas habrá hecho cada uno?
Paula visits each 5 days.
30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.
30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.
IQ scores are measured with a test designed so that the mean is 116 and the standard deviation is 16. Consider the group of IQ scores that are unusual. What are the z scores that separate the unusual IQ scores from those that are usual? What are the IQ scores that separate the unusual IQ scores from those that are usual? (Consider a value to be unusual if its z score is less than minus2 or greater than 2.)
Answer:
So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.
The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 116, \sigma = 16[/tex]
What are the z scores that separate the unusual IQ scores from those that are usual?
If Z<-2 or Z > 2, the IQ score is unusual.
So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.
What are the IQ scores that separate the unusual IQ scores from those that are usual?
Those IQ scores are X when Z = -2 and X when Z = 2. So
Z = -2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2 = \frac{X - 116}{16}[/tex]
[tex]X - 116 = -2*16[/tex]
[tex]X = 84[/tex]
Z = 2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2 = \frac{X - 116}{16}[/tex]
[tex]X - 116 = 2*16[/tex]
[tex]X = 148[/tex]
The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.
Answer:
[tex]\mu -2*\sigma = 116-2*16= 84[/tex]
[tex]\mu +2*\sigma = 116+2*16= 148[/tex]
Step-by-step explanation:
We know that the distirbution for the IQ have the following parameters:
[tex]\mu=116, \sigma=16[/tex]
The z score is given by this formula
[tex] z = \frac{X -\mu}{\sigma}[/tex]
And replacing the limits we got:
[tex] X = \mu \pm z \sigma[/tex]
For this case we know that a value to be unusual if its z score is less than minus2 or greater than 2, so then we can find the limits with this formulas:
[tex]\mu -2*\sigma = 116-2*16= 84[/tex]
[tex]\mu +2*\sigma = 116+2*16= 148[/tex]
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Analysis reveals that a company had a net increase in cash of $21,760 for the
current year. Net cash provided by operating activities was $19,600; net cash
used in investing activities was $10,800 and net cash provided by financing
activities was $12,960. If the year-end cash balance is $26,400, the beginning
cash balance was:
Answer:
Beginning Cash balance was $4,640.
Step-by-step explanation:
Net cash flow from operating activities = $19,600
Net cash flow used in investing activities = ($10,800)
Net cash provided by financing activities = $12,960
Net increase in cash $21,760
Beginning cash balance = Closing balance ($26,400) less net increase in cash ($21,760) = $4,640
The increase in cash represents the cash that was generated from operating, investing, and financing activities. These three activities are the classifications of an entity's activities. Operating activities are those activities that are normal to the business, i.e. activities the business undertakes under its mission. The investing activities arise from the purchase and sale of investments. These are not normal activities of most entities, except investment companies. Financing activities are activities engaged by an entity to raise finance, including the repayment of the borrowed funds plus interest.
1 point
Bob is flying his kite while standing in his yard and the kite is flying over
his friends house. He know the string is 75 ft long and the angle the string
where he is holding it makes a 35° angle with the ground. How far is Bob
from his friends house?
43 ft
61 ft
75 ft
35 ft
Answer:
Ground distance of Bob from his friends house = 61 ft (Approx)
Step-by-step explanation:
Given:
Length of string = 75 ft
Angle with the ground = 35°
Find:
Ground distance of Bob from his friends house.
Computation:
Using trigonometric application:
⇒ Cos [tex]\theta[/tex] = Base / Hypotenuse
⇒ Cos 35° = Base / 75
⇒ 0.819 = Base / 75
⇒ Base = 61.425 ft
Ground distance of Bob from his friends house = 61 ft (Approx)
On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width. The brochure indicates that the truck can hold 504 ft3. What are the dimensions of the cargo space? Assume that the cargo space is in the shape of a rectangular solid.
Answer:
12ft [tex]\times[/tex]7ft [tex]\times[/tex]6ft
Step-by-step explanation:
Given that truck can hold = 504 [tex]ft^{3}[/tex] i.e.
Volume, V = 504 [tex]ft^{3}[/tex]
Length of cargo space = 12 ft
Let width of cargo space = w ft
As per question statement:
Let height of cargo space = (w-1) ft
To find: The Dimensions of Cargo Space
Formula for Volume of Cargo Space:
V = Length [tex]\times[/tex] Width [tex]\times[/tex] Height
Putting the given values and conditions:
504 = 12 [tex]\times[/tex] [tex]w \times (w-1)[/tex]
[tex]\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6[/tex]
Dimensions can not be negative, so width, w = 7 ft
Height = (w-1) = 7-1 = 6 ft
So, the dimensions are 12ft [tex]\times[/tex]7ft [tex]\times[/tex]6ft.
In a restaurant 40% of the customers choose Chinese food while 65% opt for Pakistani food .if the restaurant is visited by 260 people then how many opt for both in quarter ? Ans is 39 please give the working ?
Answer:
13 ppl choose both
Step-by-step explanation:
Hello,
In a restaurant 40% of the customers choose Chinese food
while 65% opt for Pakistani food.
if the restaurant is visited by 260 people then how many opt for both ?
There are 260 people we need to compute
40% of 260 = 40*260/100 = 104 to know the customers choosing Chinese food
65% of 260 = 65 * 260/100 = 169 to know the customers choosing Pakistani food
There are ppl choosing both Chinese and Pakistani, let s note x
we can say that 104 + 169 -x = 260
so x = 273-260=13
in conclusion, 104-13=91 ppl choose Chinese food only
169-13=159 ppl choose Pakistani food only
13 ppl choose both
in total there are 91 + 159 + 13 = 260
hope this helps
The number of people who opt for both Chinese and Pakistani food is 13.
We have,
Let's denote the number of people who choose Chinese food as "C" and the number of people who choose Pakistani food as "P".
We are given that 40% of the customers choose Chinese food, which means
C = 40% of 260.
C = 0.4 * 260
C = 104
Similarly, we are given that 65% of the customers opt for Pakistani food, which means
P = 65% of 260.
P = 0.65 * 260
P = 169
Now, we need to determine the number of people who opt for both Chinese and Pakistani food.
To find this, we can use the principle of inclusion-exclusion.
The total number of people who opt for both is given by:
Total = C + P - Both
We know that the total number of customers is 260, so:
260 = 104 + 169 - Both
Rearranging the equation to solve for Both:
Both = 104 + 169 - 260
Both = 273 - 260
Both = 13
Therefore,
The number of people who opt for both Chinese and Pakistani food is 13.
Learn more about percentages here:
https://brainly.com/question/11403063
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A student participates in a Coke versus Pepsi taste test. She correctly identifies which soda is which four times out of six tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least four right out of six tries just by chance alone. Which of the following would provide an accurate estimate of that probability?
a. Have the student repeat this experiment many times and calculate the percentage time she correctly distinguishes between the brands.
b. Simulate this on the computer with a 50% chance of guessing the correct soft drink on each try, and calculate the percent of times there are four or more correct guesses out of six trials.
c. Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries.
Answer:
C.
Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries
Step-by-step explanation:
Why I choose the answer c is because for this kind of experiment to determine probability..it needs to be tested on variety of people as different people have different taste issue.
Trying it on one person alone will accumulate much error that will be very hard and uneasy to detect.
an acute angle can have all of the following measures except
Answer:
An acute angle is an angle that has a measure that is less than 90 degrees. Any measure that is less than 90 degrees could be an acute angle. For example, 8°, 15°, °26°, and 89° are all acute angles. Anything that is 90 degrees is a right angle and greater than 90 degrees is an obtuse angle. An acute angle can have all of the following measures except 90 degrees or greater than 90 degrees.
Answer:
0 is not an acute angle
Step-by-step explanation:
if the measurement of an angle is between 0 and 90 degrees then we called it an acute angle. it means acute angle is greater than 0 and less than 90 degrees. among the the other options it is between 0 and 90 therefore 0 is not it
hope this helps
what is the quotient of 2/3 and 2/g ?
1. The function h is the sum of the functions f(x)=3x+5 and g(x)=2x^2 - 6x - 2. Which represents h? A.h(x) = 5x^2 - x - 2 B. h(x) = 2x^2 - 3x + 3 C. h(x) = 2x^2 - 9x + 7
D. h(x) = -3x + 3
Answer:
B. h(x) = 2x^2 - 3x + 3
Step-by-step explanation:
Given
f(x)=3x+5
g(x)=2x^2 - 6x - 2
h(x) is sum of the functions f(x) and g(x)
Thus,
h(x) = f(x) + g(x)
substituting value of f(x) and g(x) as given above we have
h(x) = 3x+5 + 2x^2 - 6x - 2
as ( 3x - 6x = -3x and 5- 2 = 3) , we have
h(x) = 2x^2 -3x + 3
Thus, correct answer is option B. h(x) = 2x^2 - 3x + 3.
According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January ). Suppose we randomly select tweets.a. What is the expected number of these tweets with no reaction (to the nearest whole number)
a) What is the expected number of these tweets with no reaction?
b) What are the variance and standard deviation for the number of these tweets with no reaction?
Answer:
a) E(X) = 71
b) V(X) = 20.59
Sigma = 4.538
Step-by-step explanation:
The question is incomplete:
According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).
Suppose we randomly select 100 tweets.
a) What is the expected number of these tweets with no reaction?
b) What are the variance and standard deviation for the number of these tweets with no reaction?
This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.
The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:
[tex]E(X)=n\cdot p=100\cdot 0.71=71[/tex]
The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:
[tex]V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59[/tex]
Then, the standard deviation becomes:
[tex]\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538[/tex]
The scale of the drawing shows that 1” = 10 feet. If the drawing
shows the height of the building as 6 inches, how tall is the
actual building?
Answer:
60 foot
Step-by-step explanation:
Just multiply by 10?
A 100-gallon barrel, initially half-full of oil, develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at time t. Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel. The mathematical model is:___________.
(a) =kA, A(0) = 0
(b) A = ktA, A(O) = 50
(c) A tA, A(0) = 100
(d) A = két +A), A
(e) = 50 None of the above.
Answer:
the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]
Step-by-step explanation:
Given that:
Let A(t) to be the amount of oil in the barrel at time t.
However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.
Then,
[tex]\frac{dA}{dt} \ \alpha \ A^2[/tex]
[tex]\frac{dA}{dt}= KA^2[/tex]
Initially the 100 -gallon barrel is half-full of oil
So, A(0) = 100/2 = 50
[tex]\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50[/tex]
The variable is now being separated as:
[tex]\frac{dA}{A^2}=kdl[/tex]
Taking integral of both sides; we have:
[tex]\int\limits\frac{dA}{A^2}=\int\limits \ kdt[/tex]
[tex]-\frac{1}{A}= kt +C[/tex]
However; since A(0) = 50; Then
t = 0 ; A =50 in the above equation
[tex]-\frac{1}{50}= 0 +C[/tex]
[tex]C = - \frac{1}{50}[/tex]
Thus; the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]
what is the next term in the arithmetic sequence? 9,17,25,33,...
Answer:
41
Explanation:
To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.
Take a look at the arithmetic sequence given:
9, 17, 25, 33,...
Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.
9 - first term
17 - second term
17 - 9 = 8
So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.
9, 17, 25, 33,...
9 + 8 = 17
17 + 8 = 25
25 + 8 = 33
So, since 'adding eight' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next term.
9, 17, 25, 33,...
33 + 8 = 41
9, 17, 25, 33, 41,...
Therefore, the next term in the arithmetic sequence is 41.
Paper and Pencil Construction: Construct a Line Perpendicular to a Given Line through a Point on the Line
Step-by-step explanation:
wait a person was about to report it sorry ;/
had to take it off
Two scientists are measuring the temperature of liquids in two beakers. Liquid A has a temperature of -105.4° C and Liquid B has a temperature of -10.83 ° C.
Which liquid is warmer and why?
Answer: Liquid B is warmer.
Step-by-step explanation:
The data that we have is:
Temperature A = -105.4° C
Temperature B = -10.83° C
We want to know which liquid is warmer, this is equivalent to see which temperature is bigger, Ta or Tb.
Now, you can see that temperature A is larger in module, but this is a negative number.
When we work with negative numbers, the bigger ones are the ones closer to zero. This means that for example, -1 is larger than - 150.
From this, we can conclude that Liquid B is warmer.
Another way to see it is with a change of units.
If we have A degrees Celcius, and we want to to transform it into Kelvins, we must add 273.15°.
Then we have:
Ta = (-105.4° + 273.15°) K = 167.75 K
Tb = (-10.83 ´273.15°) = 262.35 K
where you can see that liquid B has a larger temperature.
Answer:
Liq A= -105.4ºC < LiqB= -10.83ºC
Step-by-step explanation:
Hello!
The easiest and quickest way to compare two negative values and determine which one is greater is by sorting them in a number line. (Check attachment)
You can also compare the absolute value of the temperature measurements. |10.83| < |105.4|. As the negative value decrease, the absolute value increases.
So the temperature of Liquid B > Temperature of liquid A.
I hope this helps!
Simplify the expression sin 2x+ sin x + cos2x - 1.
Answer:
Sin(2x)+sin(x)+cos(2x)-1
Step-by-step explanation:
i got +2 is that the correct answer
Answer:
Option (1)
Step-by-step explanation:
Quadratic equation is given as,
2x² + 8 = 0
Let the function is,
f(x) = 2x² + 8
f(x) = 2(x - 0)² + 8
Now we will prepare the table for every input value,
x -2 -1 0 1 2
y 16 10 8 10 16
By plotting these points we get a parabola having vertex at (0, 8).
Graph of the given function doesn't touches or intersects the x-axis.
And we know if a graph has no x-intercept, function graphed will have no real solution.
Therefore, function f(x) will have no real solutions.
Option (1) will be the answer.
Please answer this question !! Thank you !! Will give brainliest !!
A retail store had sales of $45000 in April and $56000 in May. The store employs eight full time workers who work 40 hours per week. In April the store also had seven part time workers at 10 hours per week, and in may the store had 9 part time workers at 15 hours per week. Using sales dollars as the measure for output, what is the percentage of change in productivity from April to May?
The percentage of change in productivity from April to May is found to be 6.66%.
Productivity ChangeWhat is meant by change in productivity?A change in labour productivity reflects an output change that cannot be accounted for by a change in the number of hours worked. The development of technology over time might lead to an increase in output per hour enhanced employee skills.
Step by step solutionStep 1: Productivity for month of AprilWe must first determine the number of man hours worked in April in order to compute the percentage change in productivity:
8 employs worked for 40 hours along with 7 employs worked for 10 hours in a week( total 4 weeks in April).
Input of April is,
= 8×40 + 7×10×4
= 1560 hours
To determine the productivity in April, divide the total sales by the number of man hours:
= 45000/1560
= 28.846
Step 2: Productivity for month of May8 employs worked for 40 hours along with 9 employs worked for 15 hours in a week( total 4 weeks in April).
Input of May is,
= 8×40 + 9×15×4
= 1820 hours
To determine the productivity in April, divide the total sales by the number of man hours:
= 56000/1820
= 30.769
Step 3: Calculate the total productivityFinding the difference between productivity in each month and dividing by April's productivity percentage yields the percent change in productivity:
= [tex]\frac{30769-28.846}{28.846}[/tex]×[tex]100[/tex]
= 6.66 %
Therefore, the productivity from April to May increased by 6.66%.
To know more about how to find percentage change, here
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Kim and Dan sold 160 homes together. Kim sold 4 times more than Dan. How many homes did Kim sell?
Given m \| nm∥n, find the value of x. m n t (4x-18)° (3x-8)
Answer:
12x2
Step-by-step explanation:
A scientist needs 10mL of a 17% acid solution for an experiment. The lab has available a 20% solution and a 10% solution. How many milliliters of the 20% solution and how many milliliters of the 10% solution should the scientist mix to make the 15% solution?
Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures it and then uses the following function equation to predict the estimated height of the suspect: y =1.19x+56 where x represents a woman’s shoe size and y represents the estimated likely height of the woman in inches. a. Using a calculator, determine an ordered pair that is a solution to this function. b. Interpret your solution in the context of this problem, using one or more complete sentences. Use the information given in the problem when describing the values of your input and output. 58
Answer:
(7, 64.33)
Step-by-step explanation:
For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:
[tex]y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.[/tex]
(a)Let x=7
Then: y =1.19(7)+56=64.33
An ordered pair that is a solution to the function is (7, 64.33)
(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.
