Answer:
6.298 meters
Step-by-step explanation:
Here, we are told that x is the time of the dive in minutes.
We simply first need to convert 150 seconds to minutes before substitution into the regression formula;
Kindly recall that 60 seconds = 1 minute
So 150 seconds will be 150/60 = 2.5 minutes
We now proceed to substitute into;
j = 0.010 + 2.515(x)
i = 0.010 + 2.515(2.5)
j = 0.010 + 6.2875
j = 6.2975 which go 3 decimal places is 6.298 meters
Using the regression model given, substitution the value of x = 2.5 minutes into the equation, the dive depth obtained ls 6.2975 meters.
Given the regression model :
y = 0.010 + 2.515xx = time of the dive ; y = dive depthConverting, x to minutes :
150 seconds = (150 ÷ 60) = 2.5 minutes
The dive depth, y after 150 seconds, can be obtained by substituting the value x = 2.5 into the equation :
y = 0.010 + 2.515(2.5)
y = 0.010 + 6.2875
y = 6.2975
There, the dive depth after 150 seconds will be 6.2975 meters
Learn more : https://brainly.com/question/18405415
Maureen, Frank, Tashia, Zane, Eric, and Wesley are addressing envelopes for volunteer work at a local charity. They were given ¾ of an entire mailing to address to be evenly divided among six of them. What fraction of the entire mailing does each person address?
Answer:
The fraction of the entire mail each person address = 1/8
Step-by-step explanation:
Given that:
number of people addressing envelopes = 6
If they gave out 3/4 of an entire mailing address.
Then, the amount of mailing not addressed is:
= 1 - 3/4
= [tex]\dfrac{4-3}{4}[/tex]
= 1/4
If 6 people shared 3/4 of an entire mailing to address evenly.
Then: each person gets:
[tex]=\dfrac{3}{4} \div 6[/tex]
[tex]=\dfrac{3}{4} \times \dfrac{1}{ 6}[/tex]
= 1/8
The fraction of the entire mail each person address = 1/8
What is the solution, if any, to the inequality |3x|2O?
Answer:
No solutions
Step-by-step explanation:
Find the product of 9 and 748
Answer:
6741
Step-by-step explanation:
A parachute is descending at a rate of 28 feet per minute. Find the total change in altitude of the parachute after 4 minutes.
Answer:
The parachute descended 112 feet
Step-by-step explanation:
Alex can run 5/4 miles in 1/12 hour. At this rate, how far can he run in 1 hour?
Answer:
15 miles in one hour
Step-by-step explanation:
Since we know that we need twelve 1/12 hours to make one full hour, we can multiply.
5/4 * 12
5/4 * 12/1
60/4
15
Best of Luck!
Answer: 15 miles
If he can already run 5/4 miles in 1/12 of an hour, we multiply.
First, let's simplify 5/4 to make it easier.
5/4 = 1 1/4.
Alex ran 1 1/4 miles in 1/12 of a hour.
Now, let's multiply 1 1/4 by 12.
1 1/4 x 12 = 15.
Answer = 15 miles. Hope this helps!
–4(5x)
simplify .......
Answer:
-20x.....
Step-by-step explanation:
–4(5x)
-20x
How do I find the percentile of someone with a certain number of things from a dot plot data set?
Answer:
percentile rank of x =
number of values before x 100
--------------------------------------------------- x ----------
number of total values on the dot plot 1
Step-by-step explanation:
you divide the number of values before x over the number of total values on the dot plot, and divide the quotient by 100 to get your percentile.
For the equation 3(4x + 10) =12x + k, which value of k will create an equation with infinitely many solutions?
(please help this is due in a couple of hours)
Christina buys a balance beam priced at $251.80. Shipping and handling are an additional
30% of the price. How much shipping and handling will Christina pay?
Answer:
$75.54
Step-by-step explanation:
30% of 251.80 is 75.54 hope that helped :3
For every 4 feet a ladder rises, the base of a ladder should be placed 1 foot away from the bottom of a building. If the base of a ladder is 7 feet from the bottom of a building, find the height the ladder rises up the building?
PLEASE HELP IF YOU CAN
Answer:
b or the second option
Step-by-step explanation:
it is congruent because two sides are the same.
hope this helps! have a good day and stay safe!
id like brainliest but if not its fine! <3
Which of the following equations has both -7−7minus, 7 and 777 as possible values of fff?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
f^2 = 49f
2
=49f, squared, equals, 49
(Choice B)
B
f^3 = 343f
3
=343f, cubed, equals, 343
(Choice C)
C
None of the above
Answer:
f^2=49
Step-by-step explanation:
G f = h Solve the equation for f
Answer:
f = h/G
Step-by-step explanation:
Step 1: Write equation
Gf = h
Step 2: Divide both sides by G
f = h/G
Mrs. Barkley is teaching a class in which the students are decorating gift boxes. She wants the students to decorate gift boxes using a ratio of 4 gems for every 3 ribbon flowers.
Dan used 20 gems for every 15 ribbon flowers.
Mary used 22 gems for every 18 ribbon flowers.
Nancy used 18 gems for every 24 ribbon flowers.
Jason used 26 gems for every 20 ribbon flower.
Which student used the correct ratio?
Dan used 20 gems for every 15 ribbon flowers
pls answer the following. put them in order from least to greatest:
1.6, 1.6071, 1.08, 1.008.
Answer:
1.008
1.08
1.6
1.6071
Step-by-step explanation:
least to greatist
The picture shows 3 steel rods. The rods are congruent, solid cylinders. The area of the top of the one rod is 7.07 square centimeters. The area of the body of one rod is 39.58 square centimeters. Find the total surface area of the 3 rods.
a) 53.72
b) 46.65
c) 139.95
d) 161.16
Answer: D, 161.16 square centimeters.
Step-by-step explanation:
The surface area of a cylinder (shape of each steel rod) is given by this formula:
[tex]A = 2\pi rh + 2\pi r^2[/tex], where the first 2*pi*r*h measures the area of the curved surface while the second 2*pi*r^2 measures the area of the two circles on the top and bottom.
We are given the area of the top of one rod, which is 7.07 square centimeters.
We are also given the area of the body of one rod, which is 39.58 square centimeters.
The top of one rod is the shape of a circle, and we know there are two circles on both sides of a cylinder, so the surface area of both circular sides are 7.07.
The total surface area of a cylinder is the body plus both circular ends, so the surface area for this cylinder is:
39.58 + 7.07 + 7.07 = 53.72
There are three cylinders, so multiply this value by three to get the answer, 161.16 square centimeters.
ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...
24.) What is the equation in slope-intercept form of the line that passes through the point (2, -2) and is perpendicular to the line represented by y= 2/5x + 2 ?
A) y= 5/2x - 7
B) y= 5/2x + 7
C) y= -5/2x - 3
D) y= -5/2x + 3
25.) Suppose the linear cost function C(x) = 6x gives the cost for buying x items. If the items are sold in packages of 10, and no one can buy more than 5 packages, then the RANGE of the function C is
A) [0, 50]
B) [5, 10]
C) {0, 6, 12, 18, 24, 30}
D) {0, 60, 120, 180, 240, 300}
Answer:
24) D
25) D
Step-by-step explanation:
24) D
We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to [tex]y=\frac{2}{5}x+2[/tex].
First, let's find the slope of our new line.
Remember that perpendicular slopes are negative reciprocals of each other.
Therefore, to find the slope of our new line, we will flip our old slope and add a negative.
Therefore, the slope of our new line is -5/2.
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:
[tex]y-(-2)=-\frac{5}{2}(x-2)[/tex]
Simplify:
[tex]y+2=-\frac{5}{2}(x-2)[/tex]
Let's convert this to slope-intercept form. Distribute the right:
[tex]y+2=-\frac{5}{2}x+5[/tex]
Subtract 2 from both sides. So, our equation is:
[tex]y=-\frac{5}{2}x+3[/tex]
Our answer is D.
25)
We know that the cost for buying x items is given by the function:
[tex]C(x)=6x[/tex]
We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.
So, let's see how much it will be if we buy 0 packages. This will just be:
[tex]C(0)=6(0)=\$0[/tex]
If we buy 1 package, there will be 10 items in them. So:
[tex]C(10)=6(10)=\$60[/tex]
If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:
[tex]C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300[/tex]
So, our range is:
[tex]\{0, 60, 120, 180, 240, 300\}[/tex]
The correct answer is D.
And we're done!
Is 1/2 a rational or irrational number
Answer:
rational
Step-by-step explanation:
I'm smart uhujjjjjhbbjjhh
Answer: rational number
Step-by-step explanation: branilest please
What is the product of the polynomial 2x^3 + 8x^2 + x + 3 times the
monomial x?
Answer:
[tex]\huge\boxed{2x^4 + 8x^3 + x^2 + 3x}[/tex]
Step-by-step explanation:
When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.
So we can do this by term.
[tex]2x^3 \cdot x[/tex]
Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes [tex]2x^4[/tex].
Same logic applies to the second term: [tex]8x^2[/tex], raise the exponent by one, [tex]8x^3[/tex].
For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so [tex]x^1[/tex] in this case - as [tex]x^1=x[/tex]). Again, using the same logic, this turns into [tex]x^2[/tex].
For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, [tex]3 \cdot x = 3x[/tex].
Adding these terms all together gets us [tex]2x^4 + 8x^3 + x^2 + 3x[/tex].
Hope this helped!
I need help ASAP will mark brainliest
Answer:
1 and 2
Step-by-step explanation:
the square root of 210 is 1.44
Suppose you need to borrow $90000 at an APR of 5.25% to buy a home.
a) What will your monthly payment be if you opt for a 15-year mortgage?
b) What percentage of your first month's payment will be interest if you opt for a
15 - year mortgage? (Round your answer to two decimal places as a percentage.)
c) How much interest will you have paid by the end of the 15-year loan?
5.9 0.55m>73.7
I NEED THIS ASAP
Answer :Understand the how and why See how to tackle your equations and why to use a particular method to solve it — making it easier for you to learn.; Learn from detailed step-by-step explanations Get walked through each step of the solution to know exactly what path gets you to the right answer.; Dig deeper into specific steps Our solver does what a calculator won’t: breaking down key steps
Step-by-step explanation: im usually really good at math but i got confused in this ps im a junior
What are the coordinates of R’S’T’ if the figure is reflected over the x-axis and translated down two units?
Answer:
Is there a picture to this?
Factor the expression.
2x^2 + 3x - 9
Answer:
(2x-3)(x+3)
Step-by-step explanation:
The factors of the expression are (2x-3) and (x+3).
A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting it back in the toy box. You then choose a second ball. What is the probability that you have selected a green ball and then a purple ball?
Option A: 2/9
Option B: 1/2
Option C: 1/3
Option D: 2/3
Answer: C. [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: Box contains 8 green balls and 4 purple balls.
Total balls = 8+4 = 12
event 1 = first picking green ball
event 2 = second picking purple balls.
As first ball was replaced, that means both events are independent.
Probability that you have selected a green ball and then a purple ball = P(purple ball )
Formula for probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
Probability of selecting a purple ball (second pick)= [tex]\dfrac{4}{12}[/tex]
[tex]=\dfrac{1}{3}[/tex]
The required probability [tex]=\dfrac{1}{3}[/tex], so C is correct option.
Answer:
2/9
Step-by-step explanation:
PJ= PG * PP = 2/3 * 1/3 = 2/9
Mark is planning to apply to a college in Indianapolis. The breakdown of the cost per year of college is given below.
• Housing Fee: $5,600 (annual cost)
• Tuition Fee: $2,600 per semester
• Technology Fee: $150 per semester
• Books: $310 per semester
• Plane Ticket Cost: $289 (annual cost)
Mark's total cost for s semesters of school in 4 years is represented by the expression below.
$23,556 + $3,060
Which statement best describes the constant in the expression?
It is the total cost for one semester for tuition and plane tickets.
It is the total cost for tuition, technology, and books for four years.
It is the total cost for tuition, technology, and books per semester.
It is the total cost of housing and plane tickets for four years.
Answer:
It is the total cost of housing and plane tickets for four years.
Step-by-step explanation:
Mark's costs for tuition, technology fee, and books are all per semester, s. ($2,600 + $150 + $310)s = $,060s
The cost for housing and plane tickets are a once a year cost. Mark pays these amounts once a year for four years.4($5,600 + $289) = $23,556
Therefore, the constant in the expression is $23,556, and it is the total cost for housing and plane tickets for four years.
Find the area in of this rectangle on this centimetre grid
Answer:
A=22.75cm²
Step-by-step explanation:
A=LW
A=6.5x3.5
A=22.75cm²
The Hoffman family has bought one pizza on Friday night every week for the last 10 years.
How many pizzas have they bought on Friday nights? Helpppp
Answer:520
Step-by-step explanation:.
Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line
Answer:
slope=.5
intercept= 1
Sam's Furniture Store places the following advertisement in the local
newspaper. Write a system of equations for the three combinations of
furniture. What is the price of a love seat?*
Write a system of equations for the word problem and solve it. ONLY input your answer for how
much a love seat cost.
SAM'S
Store
Stand kve seat
$1300
$1400
$1600
Sols and two chairs
Safa, love seat, and one chair
Your answer
Answer:
1. The system of equations is given as follows;
S + L = $1,300................(1)
S + 2·C = $1,400............(2)
S + L + C = $1,600.........(3)
Where;
S = The cost of a sofa
L = The cost of a love sea
C = The cost of a single chair
2. The cost of a love sea, L is $500
Step-by-step explanation:
1. The given information are;
The price of sofa and love sea = $1,300
The price of sofa and two chairs = $1,400
The price of sofa, love sea, and one chair = $1,600
Let the cost of a sofa = S
Let the cost of a love sea = L
Let the cost of a chair = C
Therefore, we have;
S + L = $1,300................(1)
S + 2·C = $1,400............(2)
S + L + C = $1,600.........(3)
2. From equation (1), we have;
L = $1,300 - S
Similarly, from equation (2),we have;
C = ($1,400 - S)/2
Substituting the values of L and C in equation (3), we have;
S + $1,300 - S + ($1,400 - S)/2 = $1,600
Which gives;
($1,400 - S)/2 = $1,600 - $1,300 = $300
$1,400 - S = 2 × $300 = $600
$1,400 = $600 + S
$600 + S = $1,400
S = $1,400 - $600 = $800
S = $800
The cost of a love seat, L, is given from the relation L = $1,300 - S, above, which gives;
L = $1,300 - $800 = $500
The cost of a love sea, L is $500 .