Answer:
multiplication
Step-by-step explanation:
PEMDAS
Why is a data point with an x-coordinate of 0 a good point to use when creating a trend line for a data set? The graph shows the altitude of a weather balloon over time. The trend line passes through the points (0,481) and (10,39,). Write the equation of a trend line for the data shown in the graph. After how many minutes is the balloon at an altitude of 454.6 feet above sea level?
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
A linear equation is given by:
y =mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the altitude of the balloon at time x.
Given that a trend line passes through the point (0,481) and (10,39), the equation of the trend line is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]
At 454.6 ft:
454.6 = -44.2x + 481
-26.4 = -44.2
t = 0.6 minutes
It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea level
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jo jo has a total amount of $12.45 in quarters and dimes in his pocket. he has a total of 60 coins. how many quarters and dimes does jo jo have?
a. 42 quarters and 18 dimes b. 43 quarters and 17 dimes
c. 44 quarters and 16 dimes d. 41 quarters and 19 dimes
e. 40 quarters and 20 dimes
NEED ANSWERED ASAPP!!!
Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins: [tex]x+y=60[/tex] ...(i)
Total amount: [tex]0.25x+0.10y=12.45[/tex] ...(ii)
From (i), we get
[tex]y=60-x[/tex] ...(iii)
Putting this value in (ii), we get
[tex]0.25x+0.10(60-x)=12.45[/tex]
[tex]0.25x+6-0.10x=12.45[/tex]
[tex]0.25x-0.10x=12.45-6[/tex]
[tex]0.15x=6.45[/tex]
Divide both sides by 0.15.
[tex]x=\dfrac{6.45}{0.15}[/tex]
[tex]x=43[/tex]
Putting x=43 in (iii), we get
[tex]y=60-43[/tex]
[tex]y=17[/tex]
So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.
32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 2800 grams and a standard deviation of 370 grams. If a 32-week gestation period baby weighs 2375 grams and a 41-week gestation period baby weighs 2675 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
A.
The baby born in week 32 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 41.
B.
The baby born in week 41 weighs relatively less since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 32.
C.
The baby born in week 41 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 32.
D.
The baby born in week 32 weighs relatively less since its z-score, nothing, is larger than the z-score of nothing for the baby born in week 41.
Answer:
Step-by-step explanation:
Answer:
Babies of 33 week weighs relatively less than the babies of 41 week.
Explanation:
Z score is determined by
x-u/sd
A) For 33 Week baby
Given
Mean 2500
SD 800
Z score is
2600-2500/800 =0.125
B) For 41 Week baby
Given
Mean 2800
SD 425
x=2900
Z score is
2900-2800/425 =0.235
The z score depicts that the baby of 33 week or 41 week weighs more than the normal babies of same age group.
Thus, babies of 33 week weighs relatively less than the babies of 41 week.
Sophie found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters. A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Total Volume = B h + one-third B h = 4 (21) (28) + one-third (21) (28) (30) = 2,352 + 5,880 = 8,232 cubic millimeters.
What mistake, if any, did Sophie make?
Sophie determined the volume correctly.
Sophie used the wrong formula for the total volume.
Sophie used the wrong height for the pyramid.
Sophie did not apply the order of operatio
Answer:
(C) Sophie used the wrong height for the pyramid.
Step-by-step explanation:
she should have subtracted 4 from 30 because that was apart of the prism
The total volume is 7448 cubic millimeters. Sophie has made mistake in copying height of pyramid.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.
Volume of rectangular prism = Length×Width×Height
= 28×21×4
= 2352 cubic millimeters
A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.
Volume of a rectangular pyramid = (lwh)/3
= (28×21×26)/3
= 15288/3
= 5096 cubic millimeters
Total volume = 2352+5096
= 7448 cubic millimeters
Hence, Sophie has made mistake in copying height of pyramid.
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An it that was selling for $72.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.
I NEED HELP ASAP PLEASE SOLVE FOR X
This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?
Answer:
$2690.28
Step-by-step explanation:
2862 decrease 6% =
2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28
Answer:
2700
Step-by-step explanation:
106%-> 2862
100%->2700
1.0 is what percent of 3.5
Answer:
28.57%
Step-by-step explanation:
Let the required percent be x
1.0 is what percent of 3.5 is written as;
1.0 = x% of 3.5
1.0 = 0.01x * 3.5
0.01x = 1/3.5
0.01x = 0.2857
x = 0.2857/0.01
x = 28.57%
Hence 1.0 is 28.57% of 3.5
Someone please help me ASAP
Given:
The number of alligators in a wildlife is given by the function
[tex]f(x)=3450(1.04)^{x+1}[/tex]
To find:
The average growth rate of change from the 4th year to the 7th year.
Solution:
We have,
[tex]f(x)=3450(1.04)^{x+1}[/tex]
For x=4, we get
[tex]f(4)=3450(1.04)^{4+1}[/tex]
[tex]f(4)=3450(1.04)^{5}[/tex]
[tex]f(4)=4197.4525[/tex]
For x=7, we get
[tex]f(7)=3450(1.04)^{7+1}[/tex]
[tex]f(7)=3450(1.04)^{8}[/tex]
[tex]f(7)=4721.5632[/tex]
Now, the average growth rate of change from the 4th year to the 7th year is
[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]
[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]
[tex]m=\dfrac{524.1107}{3}[/tex]
[tex]m\approx 174.70[/tex]
Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.
4[1 2 -1 5]
Someone help me with this bs
Answer:
-12
Step-by-step explanation:
12 - 15 = -3
4 ( -3 )
= -12
Answer: -12
Step-by-step explanation:
We have 4[12 -15]
Next, we have subtract in the parentheses since it's part of PEDMAS
12-15
After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.
12- 15= -3
And Lastly, we multiply.
4x -3= -12
Hope this helps!
HELP HELP PLSSSSSSSSS
Answer:
9) c) 1
10) c) 215
Step-by-step explanation:
Step:1
Given that the expression
[tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]
Put r = 9
= [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]
= [tex]\frac{40}{2} -\frac{76}{4}[/tex]
= 20 - 19
=1
Step(ii):-
Given that
[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]
Put r = 9
= [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]
= 20 + 13(15)
= 215
Solve for x. What is the value of
Pls help me
Answer
x = 21
HOS = 68
Explanation
The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.
So that means 3x+5 plus 5x+7 must equal 180 degrees.
3x+5+5x+7 = 180
Combine like terms.
8x+12 = 180
Subtract 12 from both sides.
8x = 168
x = 21
But BE CAREFUL.
The problem is asking for the angle HOS.
To do this, just substitute what you got for x into the expression.
3(21)+5 = 68
The value of HOS is 68 degrees.
Which two simple machines are being used in the diagram
Answer:
2
Step-by-step explanation:
Inclined plane ; wheel and axle.
The students in one classroom sold tickets to the talent show They
sold 200% of the amount of tickets that they sold last year. If they
sold 40 tickets this year, how many did they sell last year?
Answer:
X= 80
Step-by-step explanation:
200% = X
100% = 40
40 * 200% = 100% * X
8000 = 100 * X
8000/100 = 100*X / 100
X = 80
Explain your answer !
( WILL GIVE BRAINLST)
Answer:
Its A
Step-by-step explanation:
Angles 1 and 2 are complementary. If m<1 = 56°, what is the measure of <2?
Answer:
34°
Step-by-step explanation:
complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.
Write an expression showing 5 less than the number
Answer:
5 < x (number)
Step-by-step explanation:
what is -40p2 -7m+20p2 -4m +11m???
I NEED IT KNOW PLEASEEE
Answer:
360
Step-by-step explanation:
Item 2
Which of the following is not another way of expressing 88 out of 100?
22/25
0.088
88%
0.88
Answer:
The answer is B: 0.088
Step-by-step explanation:
22/25, multiply both sides by 4 to get 88/100
88% is 88/100
0.88 is 88/10
Help me ...................
Please help. Will mark brainliest! Answer the questions.
Answer:
160 .........................................................................
Ann borrowed $3000 from a lender that charged simple interest at an annual rate of 7% When Ann paid off the loan, she paid $420 in interest. How long was the loan for, in years?
Answer:
it was a 2 year loan with $210 contributed each year
Step-by-step explanation:
you take 7 percent of 300 which is 210 and see how many times it goes into the total interest amount and then your answer is how many years the loan was for
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x
Answer: y = 14^x
Step-by-step explanation:
Here the options are:
a y = 14^x
b y = -3*(17)^x
c y = 120x
d y = -275x
to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:
the derivations are:
a y = x*14^(x - 1)
b y = -x*3*(17)^(x - 1)
c y = 120
d y = -275
So we can already discard options c and d, because have constant rate of change.
Then we keep options a and b.
Always when we have an exponential function, like a^x and b^x
The one with the larger base will be steeper.
So if a > b, then:
a^x is steeper than b^x
In this case, the function:
y = -3*(17)^x
has a larger base, but, this function is negative.
This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)
Then the left option (a: y = 14^x)
Will be the correct one.
(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)
Find the area of the shape below.
Hint: Find the area of the two triangles and the square and add them together.
The 6th grade yearbook committee pays $15.00 for each yearbook and $19.95 shipping fee for the entire order. What formula represents the amount of money the committee will pay for any order? Let n = number of yearbooks and c=cost of the order.
Answer:
The good kind
Step-by-step explanation:
Yes
Answer:
15n+19.95=c
Step-by-step explanation:
15 per yearbook plus 19.95 equals the total cost
Question 10
Five numbers are described below.
Drag the values described into the correct order from LEAST to GREATEST. Use the number line as needed to help you order the values.
Answer:
the opposite of the opposite of -9, the opposite of 6, the opposite of 4, the opposite of 0, the opposite of the opposite of 7
Explanation:
the opposite of 4 = -4
the opposite of the opposite of -9 = -9
the opposite of 6 = -6
the opposite of the opposite of 7 = 7
the opposite of 0 = 0
Then you just put them in order.
Hope this helps!
please look at the picture. Find where the points will be reflected
Find the Value of X using Pythagorean theorem please round to the nearest tenth
Answer: [tex]x=\sqrt{18}[/tex]
Step-by-step explanation:
We can use Pythagorean's Theorem for the triangle on the bottom. The resulting answer will give the side length of the square.
[tex]3^2+3^2=\sqrt{18}[/tex]
5) A book is sold at $152.50 and a discount of 9% is given for students.
Find the cost of the book.
13
Answer:
$138.78
Step-by-step explanation:
152.50 decrease 9% =
152.50 × (1 - 9%) = 152.50 × (1 - 0.09) = 138.775
