Answer:
6.34 seconds.
Step-by-step explanation:
The object will hit the ground when h = 0.
-16t^2 + 90t + 72 = 0
8t^2 - 45t - 36 = 0
We can then use the quadratic formula to solve.
[please ignore the A-hat; that is a bug]
[tex]\frac{45±\sqrt{45^2 - 4 * 8 * -36} }{2 * 8}[/tex]
= [tex]\frac{45±\sqrt{2025 + 1152} }{16}[/tex]
= [tex]\frac{45±\sqrt{3177} }{16}[/tex]
= [tex]\frac{45±56.36488268}{16}[/tex]
(45 - 56.36488268) / 16 = -0.7103051678
(45 + 56.36488268) / 16 = 6.335305168
Since the time cannot be negative, the object will hit the ground after about 6.34 seconds.
Hope this helps!
Which statement are true about the solution 2
Answer:
¿De que solución habla?
Step-by-step explanation:
Answer:
B, D, F
Step-by-step explanation:
edge 2020
look at pic to see question
Answer:
1/2*base*height
Step-by-step explanation:
All triangles have the area of 1/2*base* height.
Answer:
1/2 * b * h
Step-by-step explanation:
A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. The base is 70 cm and the height 140 cm. How much paper will it take to make each tree, including the bottom?
Answer:
26.4ft²
Step-by-step explanation:
I first converted the centimeter values to feet
140Cm x 30.48 = 4.59
70cm x 30.48 = 2.3
the paper required is approximately equal to the area of the pyramid.
area of pyramid is equal to area of triangle + base²
Are of triangle = 1/2 x b xh
= 4 x 1/2 x4.59x2.3 + (2.3)²
= 2 x 4.59 x 2.3 + 5.29
= 26.4 feet²
therefore it will take 26.4 feet² paper to make each tree, including the bottom.
Answer:
It is actually 24500
Step-by-step explanation:
Hope this helped! I had the same lesson.
Susan purchased 9/10 of a pound of shrimp for a dinner party. Her plan is to serve 1/6 of a pound of shrimp to herself and each guest. Including herself, how many people can Susan serve at her dinner party? (Remember that you can't have a fraction of a person.)
Answer:
Susan and 4 quests
5 people
Step-by-step explanation:
Take 9/10 and divide by 1/6
9/10 ÷1/6
Copy dot flip
9/10 * 6/1
54/10
50/10 + 4/10
5 4/10
We can only serve whole numbers
5 people
Susan and 4 quests
another scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answer:
last option
Step-by-step explanation:
Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.
PLEASE HELP ME GUYS!! Write and solve equations based on the angle relationships in the diagram below to find the measure of ∠EKC and ∠CKA
Answer:
x = 65°
y = 25° (equations in explanation)
Step-by-step explanation:
We know that EKD is 25° and we know that DKB is 90°.
EKD, DKB, and BKF are supplementary. This means that their angle measures add up to 180°.
So, since we know two, we can find the other very easily.
[tex]180 - (25+90)\\180 - 115\\65[/tex]
This means that BKF is 65°.
Now, BKF and EKC are alternate interior angles, so they have the exact same measurement. Therefore, EKC, x, is 65°.
Again, EKC, CKA, and AKF are supplementary. AKF is 90° and EKC is 65°, so we can find the measure of CKA easily.
[tex]180 - (65+90)\\180-155\\25[/tex]
Therefore y is 25° and x is 65°.
Hope this helped!
HELP ME ASAP BRAINLIEST UP FOR GRABS
Answer:
52.0 m
Step-by-step explanation:
The triangle formed by the flagpole, the ground and the 30° line is a right triangle, with x as the required length to be found.
Using the tangent ratio
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{x}[/tex] ( multiply both sides by x )
x × tan30° = 30 ( divide both sides by tan30° )
x = [tex]\frac{30}{tan30}[/tex] ≈ 52.0 m
what is the range of the function: h(x)=x+1/x^2 - 7x+10
Answer:
(-∞, -1-(2/3)√2] ∪ [-1+(2/3)√2, ∞)
Step-by-step explanation:
To make it easier to differentiate, we'll rewrite the function as ...
h(x) = 2/(x-5) -1/(x-2)
Then the derivative is ...
h'(x) = -2/(x-5)^2 +1/(x-2)^2
This will be zero when ...
-2(x-2)^2 +(x-5)^2 = 0
-2(x^2 -4x +4) +(x^2 -10x +25) = 0
-x^2 -2x +17 = 0
x^2 +2x +1 = 17 +1
x +1 = ±√18 = ±3√2
x = -1 ±3√2
The values of the function at these locations are ...
h(-1-3√2) = -1 +(2/3)√2 ≈ -1.9428
h(-1+3√2) = -1 -(2/3)√2 ≈ -0.0572
Then the range of h(x) is ...
(-∞, -1-(2/3)√2] ∪ [-1+(2/3)√2, ∞)
The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.
Answer:
The correct option is;
False
Step-by-step explanation:
The coefficient of x^k·y^(n-k) is nk, False
The kth coefficient of the binomial expansion, (x + y)ⁿ is [tex]\dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)[/tex]
Where;
k = r - 1
r = The term in the series
For an example the expansion of (x + y)⁵, we have;
(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵
The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15
Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = [tex]C(n,k)[/tex] not nk
Answer:
True
Step-by-step explanation:
apec
pls any one it's urgent
Answer:
1. x = 36 is the answer.2. x = 123 is the answer.Step-by-step explanation:
1. 4x = angle 4
x = angle 1
Angle 1 + angle 4 = 180
4x + x = 180
5x = 180
x = 36.2. 55 = angle 2
angle 1 = 68
angle 3 = 55 + 68 = 123 = 180 - 123 = 57
Angle 4 = 57
180 - 57 = 123x = 123Hope this helped,
kavitha
Instructions: Find the missing length indicated.
I
Answer:
x = 12 units
Step-by-step explanation:
In the picture attached,
Since, DE and BC are the parallel lines,AC and AB are the transverse.
Therefore, ∠AED ≅ ∠ABC [Alternate angles]
∠ADE ≅ ∠ACB [Alternate angles]
ΔADE ~ ΔACB [By AA postulate of similarity]
By the property of similarity,
If two triangles are similar then their corresponding sides will be proportional.
[tex]\frac{\text{AB}}{\text{AE}}=\frac{\text{AC}}{\text{AD}}[/tex]
[tex]\frac{(4+8)}{4}=\frac{(6+x)}{6}[/tex]
[tex]3=1+\frac{x}{6}[/tex]
x = 12
Therefore, length of missing segment is 12 units.
Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9.42 square feet. How many bags of soil will she need to buy? 5 bag 6 bags 7 bags 8 bags
Answer:
6 bags
Step-by-step explanation:
Hey there!
Well first we need to find the area of the circle using,
π r^2
4*4 = 16
16 * pi ≅ 50.27
So now to find how much bags needed we do,
50.27 ÷ 9.42 = 5.34
Meaning 6 bags of soil is needed.
Hope this helps :)
Answer:
Caisha will need 6 bags of soil.
(B.) 6 bags :)
please help !!!!!!!!
Answer:
x=3 y=11
Step-by-step explanation:
2x+3=9
2x=6
x=3
y-4=7
y=11
what is the vertex of g(x)=3x^2-12x+7? a) (-6,-5) b) (-2,-5) c) (2,-5) d) (6,-5)
Step-by-step explanation:
Answer:
The answer is C.) (2, -5)
Place these numbers in correct order and and simplify 25x^2 +6x^3 -7 +17 -24x^4 +6
Answer:
[tex]-24x^4+6x^3+25x^2+16[/tex]
Step 1:
We need to place the numbers in descending order of the power. Here, [tex]-24x^4[/tex] has the largest power, so that number goes first. We keep doing this until we end up with our final expression, placed in order based on the powers.
[tex]-24x^4+6x^3+25x^2+17-7+6[/tex]
Step 2:
We can see that the last three numbers, 17, -7, and 6, don't have variables or powers, so we simplify by adding (and subtracting) them.
[tex]17-7=10\\10+6=16[/tex]
Our final equation:
[tex]-24x^4+6x^3+25x^2+16[/tex]
2. The volume of the cylinder correct to 3 significant figures is"
Calculate the volume of the cylinder with a diameter of 10
meters and a height of 8 meters.
Answer:
628 meters²Option D is the correct option.
Step-by-step explanation:
Given,
Diameter ( D ) = 10 meters
Radius ( r ) = 10 ÷ 2 = 5 meters
Height ( h ) = 8 meters
Volume = ?
Now, let's find the volume of the given cylinder:
[tex]\pi \: {r}^{2} h[/tex]
Plug the values
[tex] = 3.14 \times {5}^{2} \times 8[/tex]
Evaluate the power
[tex] = 3.14 \times 25 \times 8[/tex]
Calculate the products
[tex] = 628 \: {m}^{2} [/tex]
Hope this helps...
Best regards!!
A kilobyte is 2*10 bytes and a megabyte is 2*20 bytes. How many kilobytes are in a megabyte?
Answer:
10KB = 1MB
Step-by-step explanation:
Since 1KB => 2*10bytes
1MB => 2*20bytes
Therefore 10KB => 1MB
Solve for x Your answer must be simplified. 2x<15 Khanacademy
Answer:
[tex]\boxed{x < 7.5}[/tex]
Step-by-step explanation:
=> 2x < 15
Dividing both sides by 2
=> x < 15/2
=> x < 7.5
Answer:
[tex]\boxed{x<\frac{15}{2}}[/tex]
Step-by-step explanation:
[tex]2x<15[/tex]
Divide both parts by 2.
[tex]\displaystyle \frac{2x}{2} <\frac{15}{2}[/tex]
[tex]\displaystyle x<\frac{15}{2}[/tex]
quadratic equation grade :9
10 points;)
Answer:
Step-by-step explanation:
put (x+2)/(x-2)=a
a-1/a=5/6
[tex]multiply~by~6a \\6a^2-6=5a\\6a^2-5a-6=0\\6a^2-9a+4a-6=0\\3a(2a-3)+2(2a-3)=0\\(2a-3)(3a+2)=0\\either 2a-3=0,a=3/2 \\\frac{x+2}{x-2} =\frac{3}{2} \\cross~multiply\\3x-6=2x+4\\3x-2x=4+6\\x=10\\[/tex]
[tex]or~3a+2=0\\a=-2/3\\\frac{x+2}{x-2} =-\frac{2}{3} \\3x+6=-2x+4\\3x+2x=4-6\\5x=-2\\x=-2/5[/tex]
2.
put (x+3)/x=a
a+1/a=4 1/4
[tex]a+\frac{1}{a} =\frac{17}{4} \\multiply~by~4a\\4a^2+4=17a\\4a^2-17a+4=0\\4a^2-16a-a+4=0\\4a(a-4)-1(a-4)=0\\(a-4)(4a-1)=0\\either~a-4=0,a=4\\\frac{x+3}{x} =4\\4x=x+3\\4x-x=3\\3x=3\\x=3/3=1\\or\\4a-1=0\\a=1/4\\\\\frac{x+4}{x} =\frac{1}{4} \\4x+16=x\\3x=-16\\x=-16/3[/tex]
lily wants to buy a new smartphone. she has $500 to spend. list three way she can get good deal
by bargaining with the owner, vying for discounts or insisting on multiple products for a complimentary value deal
Haley works at a candy store. There are 10 types of bulk candy. Find the probability that one type of candy will be chosen more than once in 10 trials.
Answer:
Probability that one type of candy will be chosen more than once in 10 trials = 0.2639
Step-by-step explanation:
This is a binomial experiment because
- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)
- The outcome of each trial/run of a binomial experiment is independent of one another.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 10 trials
x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1
p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10
q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90
P(X > 1) = 1 - P(X ≤ 1)
P(X ≤ 1) = P(X = 0) + P(X = 1)
P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401
P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489
P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291
P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639
Hope this Helps!!!
u can look this up here on brainly for an answer source if you want but do the one that has the greatest points... its on google
Answer:
First one is 41
Second one is 87
Step-by-step explanation:
Make the shaded part as a trapezoid which is (3+6)*10/2 you just have to get rid of 2*2. So you get 41 as the answer.
The unshaded part will be 16*8 then subtracts the shaded part which is 41. Then you get the answer 87.
Maria and Jose have a large tomato garden. On day 111 when the tomatoes first ripened, they picked 333 tomatoes. Each day thereafter, as more tomatoes ripened, they doubled the number of tomatoes they picked. Let T be the number of tomatoes picked on day d. Which of the following best explains the relationship between d and T?
Answer:
T = 3(2)ᵈ⁻¹
Step-by-step explanation:
This is a geometric series, where the first term is 3 and the common ratio is 2.
T = 3(2)ᵈ⁻¹
This can be rewritten as:
T = ³/₂ (2)ᵈ
.....................
Answer:
B. √16 × √6
C. √96
Step-by-step explanation:
4√6
4 can be written as a square root.
4 = √16
√16 × √6
The square roots are multiplied, they can be written under one whole square root.
√(16 × 6)
√96
$70 discounted to $63
Answer:
10% off
Step-by-step explanation:
When $70 is discounted to $63, you can multiply 70 times 0.1 to get 7 which 70-63=7. To make 0.1 to a percentage, multiply by 100 to get 10%.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
WILL MARK BRAINLIEST! Match each pair of angles with the correct angle relationship(s). Explain your reasoning for each.
Answer:
∠AOB and ∠COD are vertical angles
∠DOE and ∠COD are complementary, adjacent
∠AOB and ∠AOD are supplementary, adjacent.
Step-by-step explanation:
Let's start with ∠AOB and ∠COD.
Looking at this, we can see they are the same angles formed by two lines that intersected. These are vertical angles as they are opposite each other.
∠DOE and ∠COD together form the angle ∠EOC, which is a right angle. Complementary angles are any of two that add up to 90°, so these two angles are complementary. They are also adjacent because they are right next to each other.
∠AOB and ∠AOD together form the angle ∠BOD, which has a measure of 180°. Supplementary angles are any of two that add up to 180°, so ∠AOB and ∠AOD are supplementary. They are also adjacent as they are touching/right next to each other.
I hope this helped!
Can someone plz answer the question ASAP? Thank you. multiple choice answer yes or no
Answer:yes
Step-by-step explanation:
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m30.35\text{ m}^30.35 m30, point, 35, start text, space, m, end text, cubed of fluffy material. What is the length of the pillow? Give an exact answer (do not round).
Complete question is;
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy
material. The Height is 0.5 m and the
Base is 1 m.
What is the length of the pillow?
Give an exact answer (do not round)
Answer:
length of Pillow = 1.4 m
Step-by-step explanation:
This wedge will be the shape of a triangular prism. The volume of a triangular prism is given as;
V = area of base x length = ½ × base × height × length
Thus;
Volume of Wedge = ½ × base × height × length
We are given;
base = 1 m
height = 0.5 m
Volume = 0.35m³
And we want to find the Length(L)
Thus;
½ × 0.5 × 1 × L = 0.35
L/4 = 0.35
Multiply both sides by 4 to give;
L = 0.35 × 4
L = 1.4 m
length of Pillow = 1.4 m
Answer:
1.4
Step-by-step explanation:
Khan
7 (42 ÷ 3) + 4 (72 + 53) + 8 (-3) 4
Answer:
Step-by-step explanation:
7(42 ÷ 3) + 4 (72 + 53) + 8 (-3)4
7(14) + 4(125) + 8(-12)
98 + 500 - 96
598 - 96
502
Answer:
502Step-by-step explanation:
[tex]7(42 \div 3) + 4(72 + 53) + 8 \times ( - 3) \times 4[/tex]
Divide the numbers
[tex] = 7 \times 14 + 4(72 + 53) + 8 \times ( - 3) \times 4[/tex]
Add the numbers
[tex] = 7 \times 14 - 4 \times 125 + 8 \times ( - 3) \times 4[/tex]
Calculate the product
[tex] = 7 \times 14 + 4 \times 125 - 96[/tex]
Multiply the numbers
[tex] = 98 + 500 - 96[/tex]
Add the numbers
[tex] = 598 - 96[/tex]
Subtract the numbers
[tex] = 502[/tex]
Hope this helps..
Best regards!!
1
If the 2nd and 5th terms of a G.P are 6 and 48 respectively, find the sum of the first for term
If the first term is [tex]a[/tex], then the second term is [tex]ar[/tex], the third is [tex]ar^2[/tex], the fourth is [tex]ar^3[/tex], and the fifth is [tex]ar^4[/tex].
We're given
[tex]\begin{cases}ar=6\\ar^4=48\end{cases}\implies\dfrac{ar^4}{ar}=r^3=8\implies r=2\implies a=3[/tex]
So the first five terms in the GP are
3, 6, 12, 24, 48
Adding up the first four gives a sum of 45.
If you were asked to find the sum of many, many more terms, having a formula for the n-th partial sum would convenient. Let [tex]S_n[/tex] denote the sum of the first n terms in the GP:
[tex]S_n=3+3\cdot2+3\cdot2^2+\cdots+3\cdot2^{n-2}+3\cdot2^{n-1}[/tex]
Multiply both sides by 2:
[tex]2S_n=3\cdot2+3\cdot2^2+3\cdot2^3+\cdots+3\cdot2^{n-1}+3\cdot2^n[/tex]
Subtract this from [tex]S_n[/tex], which eliminates all the middle terms:
[tex]S_n-2S_n=3-3\cdot2^n\implies -S_n=3(1-2^n)\implies S_n=3(2^n-1)[/tex]
Then the sum of the first four terms is again [tex]S_4=3(2^4-1)=45[/tex].