Question:
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]
[tex]75t + 612.5,\ 3.5 < t \le 6[/tex]
Which times and distances are represented by the function?
(a)The starting distance, at 0 hours, is 300 miles.
(b) At 2 hours, the traveler is 725 miles from home.
(c) At 2.5 hours, the traveler is 875 miles from home.
(d) At 3 hours, the distance is constant, at 880 miles.
(e) The total distance from home after 6 hours is 1,062.5 miles.
Answer:
At 2 hours, the traveler is 725 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062.5 miles.Step-by-step explanation:
Given
[tex]D(t) = \left \{ {{300t + 125,\ 0 \le t < 2.5} \atop {880,\ 2.5 \le t \le 3.5}} \right.[/tex]
[tex]75t + 612.5,\ 3.5 < t \le 6[/tex]
Required
Select the right options
(a) t = 0 hours, d(t) = 300 miles.
To check this, we make use of:
[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]
So, we have:
[tex]D(0) = 300*0 + 125[/tex]
[tex]D(0) = 0+125[/tex]
[tex]D(0) = 125[/tex]
(a) is incorrect
(b) t =2 hours, d(t) = 725 miles
To check this, we make use of:
[tex]D(t) = 300t + 125, 0 \le t < 2.5[/tex]
[tex]D(2) = 300 *2 + 125[/tex]
[tex]D(2) = 600 + 125[/tex]
[tex]D(2) = 725[/tex]
(b) is correct
(c) t = 2.5 hours, d(t) = 875 miles
To check this, we make use of:
[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]
So, we have:
[tex]D(2.5) = 800[/tex]
(c) is incorrect
(d) t = 3 hours, d(t) = 880 miles constant
To check this, we make use of:
[tex]D(t) = 800, 2.5 \le t \le 3.5[/tex]
So, we have:
[tex]D(3) = 800[/tex]
(d) is correct
(e) t = 6 hours d = 1,062.5 miles.
To check this, we make use of:
[tex]D(t) =75t + 612.5,\ 3.5 < t \le 6[/tex]
So, we have:
[tex]D(6) =75*6 + 612.5[/tex]
[tex]D(6) =450 + 612.5[/tex]
[tex]D(6) =1062.5[/tex]
(e) is correct
Determine the quadratic curve of best fit for the data. Then estimate what the value of will be when = −4. {(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)} Answer choices 4.3 5.3 3.3 2.3
Answer:
The value of 'y' when x = -4 is 2.3
Step-by-step explanation:
Curve of best fit can be found by plotting the points on MS Excel and drawing a curve that goes through the points as shown in the attached graph
The equation that approximate the curve from which the y-value at a x-value of -4 can be estimated is found as follows
The general equation for a quadratic equation is y = a·x² + b·x + c
Therefore, we get;
2 = a·(-3)² + b·(-3) + c
2 = 9·a - 3·b + c
5 = 0·a + 0·b + c
5 = c
7.3 = 1·a + 1·b + c = a + b + 5
7.3 = a + b + 5
2.3 = a + b
2 = 9·a - 3·b + 5
-3 = 9·a - 3·b
Solving gives;
a = 13/40, b = 79/40
The equation of the quadratic curve is therefore;
y = (13/40)·x² + (79/40)·x + 5
When x = -4, we get;
y = (13/40)·(-4)² + (79/40)·(-4) + 5 = 2.3
When x = -4, y = 2.3
Plotting the points on MS Excel we find from the attached graph that the estimated value of 'y' when x = -4 is as calculated (2.3).
The image of point (-1, 7) under a reflection across the y-axis is (-1, -7). *
True
False
Answer:
False
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 1, 7 ) → (1, 7 )
Answer: True
Step-by-step explanation:
Because since it's getting reflected over the Y-axis it's gonna be all negatives.
Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar? (4 points)
Answer:
24 pints
Step-by-step explanation:
128 ounces · 3 = 384 ounces
384/16 = 24 pints
Answer:
There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.
Step-by-step explanation:
QUESTION 10 of 10: Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month. If each
screen press can handle 500 shirts per day, about how many presses do you need?
a) 2
b) 3
c) 4
od) 5
ОООО
There are 4 presses we need.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.
And, Each screen press can handle 500 shirts per day.
Now,
Since, In a month there are 30 days.
And, Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.
Hence, Number of shirts need to press per day = 60,000 / 30
= 2,000
Since, Each screen press can handle 500 shirts per day.
Hence, Number of press for 2,000 shirts = 2,000 / 500
= 4
Thus, There are 4 presses we need.
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Katherine's paycheck was $436.14. She put 1/3 of her paycheck into a savings acount and used 1/2 for what was left to pay for her new phone,
How much money does she have remaining from her paycheck?
Answer:
$145.38
Step-by-step explanation:
436.14-(1/3)(436.14)-(1/2)(436.14) = 145.38
The amount of money that Katherine left after considering all fractions will be $145.38.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The denominator of a fraction is the numerical value that comes before the brings together various.
It represents the number of pieces removed from the whole.
As per the given,
Initial amount = $436.14
1/3 of it is = (1/3)436.14 = $145.38
Since, she saved into a saving account so she left with,
$436.14 - $145.38 = $290.76
Now,1/2 of it will be,
(1/2)290.76 = $145.38.
Hence "The amount of money that Katherine left after considering all fractions will be $145.38".
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?????????????????????????
Answer:
192
Step-by-step explanation:
8 is half and a another half also 8 so 16*12 is 192
I need help with both of these if you know any of them them helppp me pls will give 20 points
Answer:
1) B. similar
2) D. (4, 2)
Step-by-step explanation:
1)
When a figure is dilated, the shapes will be similar. Reflected is another transformation so that's wrong. Same size and congruent is wrong since that would have to make the dilated size equal which can't since it's contradicting.
2)
B: (4, -2)
Reflection across the x-axis:
(x, y) → (x, -y)
(4, -2) → (x, -y)
(4, 2)
help pls !
i’ll mark brainliest to whoever answers it right first.
thanks !
The area sector of a circle with radius 7 is 9 π/. What is the radian measure θ, the central angle of the sector? Express your answer in exact form.
Answer:
Radian angle = 1.154
Central angle = 66.123°
Step-by-step explanation:
Area of Sector, A
A = 1/2 * r² * θ ; θ measured in radian
A = 9 π
r = 7
9 π = 1/2 * 7² * θ
9 π = 24.5θ
θ = 9 π / 24.5
θ = 1.154 radian
1 radian = 57.296°
1.154 radian = (57.296 * 1.154)
1.154 radian = 66.123°
I need help with this question
Answer:
2n=12
Step-by-step explanation:
The next step would be to subtract four from each side getting 2n=12 or B
HELP PLEASE QUICKLY!!
O and OP are given with centers (-2, 7) and (12, -1) and radii of lengths 5 and 12, respectively. Using similarity transformations on O, prove that O and OP are similar. (2 points)
Answer:
they are reciprecants of eachother
52 divided by 6 as a fraction
Answer:
52/6 = 8 and 2/3
Step-by-step explanation:
52 divided by 6 is 8 and 2/3
6 multiplied by 8 is 48
52-48 is 4
so 52/6 is 8 remainder 4
or you can divide 4 by 6
4/6 = 2/3
so it can also be 8 and 2/3
52 divided by 6 as a fraction in its simplest form is 8 2/3.
To express 52 divided by 6 as a fraction, you simply write it as:
52 / 6
To simplify the fraction, find the greatest common divisor (GCD) of the numerator (52) and the denominator (6), and then divide both the numerator and denominator by the GCD.
The GCD of 52 and 6 is 2.
Divide both the numerator and denominator by 2:
(52 / 2) / (6 / 2)
This simplifies to:
26 / 3
now, we have,
Divide 26 by 3:
26 ÷ 3 = 8 with a remainder of 2
The whole number part is 8, and the remainder (2) becomes the new numerator.
The denominator remains the same.
So, 26/3 as a simplified mixed number is: 8 2/3
So, 52 divided by 6 as a fraction in its simplest form is 8 2/3.
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The leading coefficient in 1 + 6x + 9x2 is 1.
O True
O False
Answer:
true
Step-by-step explanation:
1+4+8
Find the shaded area.
Round to the nearest tenth if necessary
Answer:
297 mm²
Step-by-step explanation:
22 mm × 18 mm = 396 mm²
(9 × 22) ÷ 2 = 99 mm²
396 mm² - 99 mm²
297 mm²
I’m lazy:) I’ll give brainliest
Answer:
its 5.795
Step-by-step explanation:
Answer:
5.790
Step-by-step explanation:
all zeos at the top
Maya makes trail mix by combining 1/2 cup of mixed nuts, 1/4 cup of dried fruit, and 1/8 cup of chocolate morsels. What is the total amount of ingredients in her trail mix? Explain how you solved the problem.
Answer:
7/8 ingridents
Step-by-step explanation:
If you're working with improper fractions where the numerators are larger than the denominators, make the denominators the same. Then add the numerators. If you're adding mixed numbers, turn them into improper fractions and make each fraction equivalent. This will make it easy to add the fractions together.
Mark me brainliest!
Answer:
Step-by-step explanation:
1/8x1/4x1/2=1/64
Two boys each run 3 ½ miles for 4 days. How many total miles did they run?
Answer:
They ran 28 miles total!
Quick Step-by-step explanation:
3 1/2 = 3.5
3.5 x 4 = 14
14 miles per boy so then, 14 x 2 = 28
Hope this helps!
An expression is shown -5.75 + 6.5, what is the value of the expression
Answer:
0.75
Step-by-step explanation:
You are just combining like terms since there are no variables:
-5.75 + 6.5 is the same as,
6.5 - 5.75
= 0.75
hellllllllllllllllllllllllllllpppppppppppppppppppppppppppp me
Answer:
344
Step-by-step explanation:
Answer:
344 beads
Step-by-step explanation:
Multiply 430 by [tex]\frac{4}{5}[/tex]
[tex]430*\frac{4}{5} \\= 430*\frac{4}{5} \\=\frac{1720}{5} \\= 344[/tex]
Therefore, Keisha gives Eduardo 344 beads.
I hope this helps!
PLEASE HELP!! What do most marketing entrepreneurs do to prepare to launch their
businesses? (this is actually business not math but)
Marketing entrepreneurs choose a marketing niche first to prepare to launch their business. Thus, option B is correct.
What is marketing niche?The portion of a market that a particular product is targeted toward is called a niche market. The product's market niche determines its price range, level of production, target demographics, and feature set that is intended to address a particular market need. Additionally, it is a small market sector. A product or service may occasionally be created specifically to meet the needs of a niche market.
Not all products can be classified by their market niche. The highly specialised niche market competes against numerous super companies and strives to remain viable. Even well-known companies develop products for specific markets; Hewlett-Packard produces separate machines in addition to all-in-one printing, scanning, and faxing units that are aimed at the home office market.
Learn more about market niche
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Answer: Choose a marketing Niche
Step-by-step explanation: Just took the quiz
Instructions: Given the vertex of a quadratic function, find the axis of symmetry.
(-1,3)
The graph of the function f(x) = –(x + 3)(x – 1) is shown below. On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0). What is true about the domain and range of the function? The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1. The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4. The domain is all real numbers, and the range is all real numbers less than or equal to 4. The domain is all real numbers less than or equal to 4, and the range is all real numbers.
Answer:
i would recomend tiger algeabra
Step-by-step explanation:
Answer:
C. The domain is all real numbers, and the range is all real numbers less than or equal to 4.
Step-by-step explanation:
What is 45% of 62 please help
Answer:
multiply 2 * 5 add 4 +6 multiply both of your answers and you get the answer to 45% of 62
Answer:
45℅of 62is27.9
hope I it helps.
If six pairs of jeans cost $235.74, how much would 2 pairs of jeans cost?
Answer:
$78.58
Step-by-step explanation:
First you divide 235.74 by six to find the individdual jean price (235.74/6=39.29) Then you add 39.29+39.29 = 78.58
A farmer has 20 bins of apples. Each bir
has 25 red apples and 30 green apples.
Which of the following expressions can
be used to find the total number of
apples in all the bins?
Answer:
1100
Step-by-step explanation:
you have to do 25+30=55 then 55x20=1100
one positive integer is 2 less than another. The product of the two integers is 24. what are the two integers?
If one is positive we can conclude that the other is also positive
Positive*positive=positive(24)
The product of the two numbers is 24
And the smaller number is less than the greater number by 2
Factors of 24=1*24,2*12,3*8,4*6.
The only pair with the diffrence of two is 4*6
Therefore the two integers are 4 and 6
I need an answer! NO LINKS PLS! il give brainlist
Answer:
Step-by-step explanation:
What is 8/9 - 1/3? I can’t seem to figure out the answer
Answer:
Answer:
have a common denominator first,
9
8/9 - 3/9 = 5/9
1/3 x 3/3 = 3/9
How do I solve X/12+1/3=-5/3
Answer:
16
Step-by-step explanation:
x/12=5/3-1/3
x/12=4/3
3x=12×4
3x=48
x=16
Answer is in the picture attached
Sine is positive in which of the following quadrants?
A. I and III
B. I and IV
C. T and II
D. II and III
Answer:
C. I and II
Step-by-step explanation:
In q1, all trig functions are positive. q2, sin and csc is positve. hope this helps!!
