Answer:
no real roots
Step-by-step explanation:
Find discriminant of quadratic equation:
A
= 62 - 4aC
2 Identify a,b,c
Identify a,b,c through coefficient:
a
b
C
6
= 12
8
Substitute and calculate
Substitute the value of a,b,c and calculate
discriminant (b2 - 4ac) :
-48
Determine number of solution Determine number of solution with
discriminant:
no real roots
The function D(t) defines a traveler's distance from
home, in miles, as a function of time, in hours.
D(t) =
300t + 125,
875,
75t + 612.5,
0 ≤t <2.5
2.5 ≤t≤ 3.5
3.5
Mark this and return
Which times and distances are represented by the
function? Select three options. 4
The starting distance, at 0 hours, is 300 miles.
At 2 hours, the traveler is 725 miles from home.
At 2.5 hours, the traveler is still moving farther from
home.
At 3 hours, the distance is constant, at 875 miles.
The total distance from home after 6 hours is 1,062.5
miles.
Three selected options are as follows:
At 2 hours, the traveler is 725 miles from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.What is Distance ?Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here, put the values in option substitute in given equation D(t)
Option 1: At t = 0 hour,
D (0) = 300 X 0 + 125 = 125 ≠ 300 Option Incorrect
Option 2 : At t = 2 hours,
D(2) = 300 X 2 + 125 = 725 Option Correct.
Option 3: At t = 2.5 hours,
D(2.5) = 875 Option Incorrect
Option 4: At t = 3 hours,
D(3) = 875 Option Correct
Option 5: At t = 6 hours,
D(6) = 75 X 6 + 612.5 = 450 + 612.5
= 1062.5 miles Option Correct
Thus, Option two, four and five are correct.
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Part B
Now that you know the missing side length, is triangle BCD a right triangle? Give you
reason.
The length of the other leg of the right triangle will be 13.86 cm.
The complete question is given below.
The triangle BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
What is the length of the other leg?
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Let the unknown sides be x. Then we have,
19² = 13² + x²
361 = 169 + x²
x² = 361 – 169
x² = 192
x = 13.856 ≈ 13.86 cm
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Help is this a reflection or a rotation??
My exam is on Tuesday and I’m confused
Answer:
reflection
Step-by-step explanation:
its like a mirror, if it were rotated, they wouldnt line up as the same image. think of this like looking in a mirror! :)
Find the mean and median of the data. 31, 14, 18, 26, 17, 32
Answer:
The mean is 23
The median is 22
Step-by-step explanation:
To find the mean you have to do 2 steps:
Step 1: Add up all your numbers:
31 + 14 + 26 + 17 + 32 + 18
= 138
Step 2: Divide you answer by how many numbers there are(6):
138 ÷ 6
= 23
Now to find you median
First put the numbers in order:
14, 17, 18, 26, 31, 32
Now grab the middle number and since there are an even amount of numbers grab the 2 middle numbers:
14, 17, 18, 26, 31, 32
Now add the 2 numbers:
18 + 26
= 44
The last step is to divide your answer by 2:
44 ÷ 2
= 22
how do you stop a skunk from smelling?
Answer:
Hold its nose
Step-by-step explanation:
You can actually de-scent a skunk if it is the powerful defensive odor you are referring to. When you have a skunk de-scented, they are no longer able to spray, and at this point they are now similar to having a pet cat or dog; lovable and highly desire affection and attention from their owners.
can someone do this for me please?! Just the answer pls
1. Both triangles are congruent by: a. angle-angle-side congruence theorem.
Using the trigonometric ratios, we have:
2. C. 9
3. C. 4√3
4. B. sin C
What is the Angle-angle-side Congruence Theorem?The angle-angle-side congruence theorem states that two triangles are congruent to each other if they both have two pairs of corresponding congruent angles and a pair of non-included congruent side.
What is the Trigonometric Ratio?To solve any right triangle, the following Trigonometric ratios can be employed:
sin ∅ = opp/hyp
cos ∅ = adj/hyp
tan ∅ = opp/adj.
1. Both triangles can be proven to be congruent based on: a. angle-angle-side congruence theorem.
2. Given the points, A(-2, 6) and B(-2, -3), the distance between both points is:
AB = |6 - (-3)| = 9 units
The answer is: C. 9
3. Apply the sine ratio:
sin 60 = opp/hyp = m/8
m = (sin 60)(8)
m = (√3/2)(8) [sin 60 = √3/2]
m = 4√3
The answer is: C. 4√3
4. Using the sine ratio:
sin C = opp/hyp = 8/17
The answer is: B. sin C
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One diagonal of a rhombus has endpoints (-6, 9) and (-2, 1).
What are the endpoints of the other diagonal?
O (2, 4) and (6, 6)
O (-6, 5) and (-2, 4)
O (2, 8) and (-10, 2)
O (-10, 17) and (2,7)
(2, 8) and (-10, 2)
:)
Which equation represents h in the triangle? A) h = 6sin37° B) h = 10sin37° C) h = 6 10 sin37° D) h = 10 6 sin37°
Answer:
A
Step-by-step explanation:
Consider the left triangle within the big triangle.
Identity :
sin θ = opposite side / hypotenuse
=============================================================
Taking the sine value of the angle to find h :
⇒ sin37° = h/6
⇒ h = 6sin37°
Opposite 37 is h
Angle opposite 6 is 90
Sine rule:
h/sin37 = 6/sin90
xsin37
h = 6 x sin37/ sin90
h = 3.6108....
h = 3.6 to 1dp
A) 6xsin37= 3.6108...
B) 10xsin37 =6.018...
C) 6x 10 xsin37 = 36.108...
D) 10 x 6 x sin37 = 36.108...
Thus, answer is A
Hope this helps!
How many one-third cup servings are in 9 cups of strawberries?
Answer:27?
Step-by-step explanation:
So since there needs to be 3 1/3ds in each cup you just multiply 3x9=27
A school is constructing a rectangular play
area against an exterior wall of the school
building. It uses 120 feet of fencing material to
enclose three sides of the play area.
Write an equation to represent &, the length of
the play area in feet, as
function of w. the width in teet.
Write an equation to represent A, the area in
square feet, as a function of w.
the width in feet.
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS
Answer:
120 = L+2W
LW =area.
to maximize area with given fencing that would make Width = 30 feet and length = 60
A= LW = (120-2W)W = 120W -2W^2
A' = 120-4W =0
W = 30
L=120-2(30) = 60 feet
W by L is 30 by 60 feet for max area
Determine each sum or difference.
A) -3.6+(-21.9) b) -43.91-(-9.44)
What is the radius of a circle if it’s center is (1,2) and one point on the circle is (1,6)?
because the x values are identical the radius would be found by subtracting the y values.
6-2 = 4
the radius is 4
Ahmed and Babar share 240g of sweets in the ration 7:3. Calculate the amount Ahmed receives
The amount received by Ahmed is 168 gm.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
Here, let the amount received by Ahmed be 7x
and amount received by Babar be 3x
Total amount of sweets = 240 gm
Now, according to question,
7x + 3x = 240
10x = 240
x = 240/10
x = 24
Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.
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1. Kimi Skuban deposits $2,000 at the beginning of each year into an Individual Retirement Account at
Boise Bank. The account pays 7% compounded annually. How much will be in the account in 25 years?
Answer:
53500
Step-by-step explanation:
if we take 2,000 and multiply it by 0.07 the resulting percentage equates to 140, or $140, add 140 to 2,000 and multiply by 25 will yield 53500
If 14 is 35% of a value, what is that value?
Pls help
Answer:
40
Step-by-step explanation:
14 = 35% of x
35% = 0.35
So lets make an equation and solve for x:
14 = 0.35x
x = 14÷0.35
x = 40
To check our answer let's put it back into the question :
35% of 40 = 14
10% = 4 , 30% = 12 , 5% = 2
35% = 12+2 = 14 ✅
Hope this helped and have a good day
A circle is centered at $O$ and has an area of $48 \pi.$ Let $Q$ and $R$ be points on the circle, and let $P$ be the circumcenter of triangle $QRO.$ If $P$ is contained in triangle $QRO,$ and triangle $PQR$ is equilateral, then find the area of triangle $PQR.$ Will give brainlyist!
The area of the Triangle PQR which is in the circle, is given as 784.25. See the computation below.
What is a circle?Mathematically speaking, a circle is a 2-dimensional shape whose boundaries are round and are equidistant from a fixed center.
What is calculation of the answer given above?The area of ΔPQR is given as ((√3)/4) x QR²
= (√3)/4) x (6√2 - 2√6)²
= 0.43301270189 x (8.48528137424 x 4.89897948557)²
= 0.43301270189 x 1728
Area of ΔPQR = 784.25
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What is the image of (12, -9) after a dilation by a scale factor of 1/3 centered at the origin
Answer:
(4,-3)
Step-by-step explanation:
The scale factor is 1/3. So, multiply the numbers by 1/3.
12*1/3 is 4.
-9*1/3 is -3.
The new coordinates are (4,-3).
Consider a flow network in which vertices, as well as edges, have capacities. That is, the total positive flow entering any given vertex is subject to a capacity constraint
Maintain the same constraints on edge capacity, skew symmetry, and flow conservation in the ordinary maximum-flow problem on a flow network of comparable size.
What is flow network?A flow network is a directed graph with each edge having a capacity and each edge receiving a flow, according to graph theory. The amount of flow on an edge must not exceed the edge's capacity.
Let's suppose the network flow is given by;
G = (V, E)
With edge capacity:
c: E → R
And vertex capacity:
d: V → R
Maintain the same constraints on edge capacity, skew symmetry, and flow conservation.
Consider the new stipulation: for each:
v ∈V
So,
[tex]\rm \sum_{u \in v } \{ f(u,v)|f(u,v) > 0 \} \leq d(v)[/tex]
Thus, if maintain the same constraints on edge capacity, skew symmetry, and flow conservation the ordinary maximum-flow problem on a flow network of comparable size.
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A paper is 0.55 mm thick. How high pile of 274 sheets? The paper is 24.5 long and 18.5 cm wide. Calculate volume of the pile of paper.
The height of the pile is 150.7 mm, and the volume is V = 6,830,477.5 mm³.
How high will be the pile of papers?We know that each paper is 0.55mm thick, then if we pile 274 of these, the height of the pile will be:
H = 0.55mm*274 = 150.7mm
Now we want to get the volume of the pile of paper. Remember that for a rectangular prism of height H, width W, and length L, the volume is:
V = H*W*L
In this case, we have:
H = 150.7mmW = 18.5 cm = 185 mmL = 24.5 cm = 245 mmThen the volume is:
V = (150.7mm)*(185 mm)*(245 mm) = 6,830,477.5 mm³
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Write seventy-eight and nine hundredths as a decimal number.
Submit
Answer: 78.09
Step-by-step explanation:
Seventy-eight is the whole number, so it goes to the left of the decimal point 78.09
Nine-hundredths is decimal, it goes two places to the right of the decimal point because it's hundredths 78.09
Find the volume of a sphere with a radius of 2 cm.
to the nearest hundredth.
A 10.67 cm³
B 16.75 cm³
C 33.52 cm³
D 8.37 cm³
ATTEMPTS
Answer:
C 33.52 cm³
Step-by-step explanation:
Here, we have Radius(r)=2(Given)
Volume = 4/3 πr³
= 4/3 · 22/7 · 2³
= 33.5238
Round to the nearest tenth:
C 33.52 cm³
In the diagram of right triangle GFE below, altitude FD is drawn. Which of the
following ratios is equivalent to sin E?
answers: GD/DF, GF/GE, DE/FD, FE/GE
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is B.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
In the ΔGEF, the value of Sin(E) is,
Sin(E) = GF/GE
In the ΔDEF, the value of Sin(E) is,
Sin(E) = FD/FE
Hence, the correct option is B.
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a+2< -10 enter the correct answer
Answer:
a<-12
Step-by-step explanation:
What is the area of the sector shown in the diagram below?
14 cm
OA. 34.2 cm²
OB. 30.8 cm²
OC. 136.8 cm²
D. 4.9 cm²
The area of the sector shown in the diagram below is A = 136.8 cm²
Area of a sectorThe formula for calculating the area of a sector is expressed as:
A = r²Ф/2
Given the following
radius = 14cm
Ф = π/6
Substitute
A = (14)²π/12
A = 196(3.14)/2
A = 136.8 cm²
Hence the area of the sector shown in the diagram below is A = 136.8 cm²
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Given that
a:c=1:6
b:c= 2:5
Find the ratio a:b:c
Give your answer in its simplest form
and
The ratio of a : b : c in its simplest form is 5 : 12 : 30 respectively
How to solve ratio?a : c = 1 : 6b : c = 2 : 5So,
a / b = 1/6
b/c = 2/5
lowest common multiple of c in both ratio1/6 + 2/5
=(5 + 12) /30
a : b and b : c
= 5/30 and 12/30
Therefore,
a : b : c = 5 : 12 : 30
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20 cm
15 cm 8 cm
20 cm
8 cm
15 cm
Find the area of the arrow above.
[?] square centimeters
The area of the arrow given in the figure is 610 square cm
Area of composite figureThe given figure is made up of rectangle and triangle. The area is expressed as:
Area = Area of rectangle + area of triangle
Substitute the given parameters
Area of the arrow = (15*20) + 0.5(31 * 20)
Area of the arrow = 300 + 310
Area of the arrow = 610 square cm
Hence the area of the arrow given in the figure is 610 square cm
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please help I’ll give brainliest
Martin and Linda live 855 miles apart. At the same time, they start driving toward each other on the same road. Linda’s constant rate is 35 mph. Martin’s is 60 mph. How long will it take them to meet?
Answer:
Step-by-step explanation:
Givens
Linda 35 mphMartin 60 mphdistance travelled = 855 milesFormula
Linda's speed * t + martin's speed * t = 855
s1 * t + s2 *t = 855
Solution
35*t + 60*t = 855t Combine the left
95t = 855 Divide both sides by 95
95t/95 = 855/95
t = 9
Answer
They will meet in 9 hours.
Answer:
Option (D) is correct, 9 hours.
If you roll a dice four times, what is the chance that you roll two 3s?
Answer:
11.57%
Step-by-step explanation:
The probability of rolling two 3s is the product of the probability of rolling two 3s and two not-3s, and the number of ways that combination of rolls can appear.
__
combinations of rollsOf the four die rolls, we want two of them to be 3s. The 3s can appear anywhere in the sequence. For example, we could have 33xx, or xx33, or any of a number of other combinations (where x is a "not 3"). The total number of ways two 3s can appear an a sequence of 4 rolls is ...
C(4, 2) = 4!/(2!(4 -2)!) = 4·3/(2·1) = 6
__
probability of two 3s and two not-3sThe probability of rolling a 3 on a fair 6-sided die with one face labeled 3 is presumed to be 1/6. Then the probability of rolling something else is ...
1 -1/6 = 5/6
So, two 3s and two not-3s in a given sequence have a probability of ...
(1/6)(1/6)(5/6)(5/6) = 25/1296
__
two 3s in 4 rollsThe probability that four rolls of the die will show exactly two 3s is the product of the probability it can happen and the number of ways it can happen:
(25/1296) × 6 = 25/216 ≈ 11.57%
_____
The attachment shows the probability function of a calculator gives the same result.
Please help!!!!!
a bag contains four red marbles, three blue marbles, two yellow marbles, and one green marble. two marbles are drawn from the bag, one at a time, without replacement. what is the probability of drawing two blue marbles?
Answer: 1/20
Step-by-step explanation:
Given: Number of red marbles in bag = 4
Number of blue marbles in bag = 3
Number of yellow marbles in bag = 3
Total marbles = 3+3+4=10
Hope this helps!!!!