Answer:
a) t = 0.54 seconds
b) t = 8 seconds
Step-by-step explanation:
Given in the question the equation
h = 40t - 5t²
where h is height in meters
t is time in seconds
Time it took to reach 20 meters
20 = 40t - 5t²
-5t² + 40t - 20 = 0
by using quadratic formula for factorisation
t = (-b± √(b)² - 4(a)(c) ) / 2(a)t = 0.54 (upward motion)
or
t = 7.46 (downward motion)
b) Time it took to reach the ground
at ground h = 0
So,
0 = 40t - 5t²
t(40 - 5t ) = 0
t = 0 (at starting point)
or
40 -5t = 0
5t = 40
t = 40 /5
t = 8 seconds
What is the measure of PQR
A.51
B.55
C.74
D.78
Please I really need help
the answer is B maybe
180- 51- 74
=55
Answer:
b
Step-by-step explanation:
Consider the following geometric sequence -5, 10, -20, 40,..... if the recursive formula for the sequence above expressed in the form a(n)=b*c^n-1, determine the value of b and c.
Helpppp!BASIC MATHhhh
How much we need for start-up supplies . . . . . $25
AFTER start-up supplies we want to have . . . $70
Total amount we need to get started . . . (25 + 70) = $95
Number of people contributing . . . (me + 4) = 5
Amount each person needs to kick in . . . (95/5) = $19
As your preliminary Accountant, please reserve me one dozen (13) bagels from the first batch you produce !
What word is synonymous for take-home pay
Answer:
net pay
Step-by-step explanation:
"Net" refers to what you get to keep after taxes or any fees,
"Gross" is your total before taxes and fees
Answer: Take-Home Pay is the money a person has after paying off all the things that are forced, like taxes.
Step-by-step explanation: There is none. It's English.
Find the surface area of the rectangular prism.
Answer:
130 ft^2
Step-by-step explanation:
SA= surface area
SA= 2*l*w + 2*l*h + 2*w*h
l= length = 10
w= width =5
h = height = 1
SA= 2*l*w + 2*l*h + 2*w*h
SA= 2*10*5 +2*10*1+2*5*1
SA= 100+20+10
SA= 130 ft^2
If a cone has a surface area of 822.78cm^2 and a diameter of 18cm, find the slant height of the cone
Answer:
[tex]20.11\ cm[/tex]
Step-by-step explanation:
we know that
The surface area of the cone is equal to
[tex]SA=\pi r^{2}+\pi rl[/tex]
where
r is the radius
l is the slant height
In this problem we have
[tex]SA=822.78\ cm^{2}[/tex]
[tex]r=18/2=9\ cm[/tex] -----> the radius is half the diameter
substitute and solve for l
[tex]822.78=\pi (9)^{2}+\pi (9)l[/tex]
[tex]822.78=81\pi +9\pi l[/tex]
[tex]l=(822.78-81\pi)/9\pi[/tex]
[tex]l=(822.78-81(3.14))/9(3.14)=20.11\ cm[/tex]
The slant height of the cone is approximately 20.1154 cm.
[tex]\[ \text{Surface Area} = \pi r (l + r) \][/tex]
where r is the radius of the base of the cone, and l is the slant height of the cone.
Given that the diameter of the cone is 18 cm, we can find the radius r by dividing the diameter by 2:
[tex]\[ r = \frac{diameter}{2} = \frac{18 \text{ cm}}{2} = 9 \text{ cm} \][/tex]
Now we can substitute the values we know into the surface area formula:
[tex]\[ 822.78 \text{ cm}^2 = \pi \times 9 \text{ cm} \times (l + 9 \text{ cm}) \][/tex]
To find l, we need to solve for l in the equation:
[tex]\[ 822.78 \text{ cm}^2 = 9 \pi \text{ cm} \times (l + 9 \text{ cm}) \] \[ \frac{822.78 \text{ cm}^2}{9 \pi \text{ cm}} = l + 9 \text{ cm} \] \[ \frac{822.78}{9 \pi} = l + 9 \] \[ l = \frac{822.78}{9 \pi} - 9 \][/tex]
Now we calculate the value of l:
[tex]\[ l = \frac{822.78}{9 \times \pi} - 9 \] \[ l = \frac{822.78}{28.27433388} - 9 \] \[ l \approx 29.1154 - 9 \] \[ l \approx 20.1154 \text{ cm} \][/tex]
what is 6(2y+8)-2(3y-2)
The answer is 6y + 52.
Which of the following is the graph of y= x2 + 2x +1
Answer:
Step-by-step explanation:
you should show the graph
but
simplify it
A bakery has 63 donuts and 36 muffins for sale. What is the ratio of muffins to donuts?
A.
4 to 1
B.
7 to 4
C.
1 to 4
D.
4 to 7
Answer:
D.) is the answer
Step-by-step explanation:
I know this because the ratio of muffins to donuts is 36:63 but simplified is 4:7
The ratio of muffins to donuts is 4:7 if the bakery has 63 donuts and 36 muffins for sale, option (D) 4 to 7 is correct.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Number of donuts = 63
Number of muffins = 36
The ratio of muffins to donuts:
36:63
4:7
Ratio is 4 to 7
Thus, the ratio of muffins to donuts is 4:7 if the bakery has 63 donuts and 36 muffins for sale option (D) 4 to 7 is correct.
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(___)^2=(secx-1)(secx+1)
Answer:____
Answer:
tan
Step-by-step explanation:
(secx - 1)(secx + 1)
Remove parentheses = sec²x - 1
Use the identity: tan²x + 1 = sec²x = tan²x + 1 - 1
= tan²x
tan²x = (secx - 1)(secx + 1)
Answer: The required answer is tan x.
Step-by-step explanation: We are given to complete the following trigonometric identity :
[tex](\_\_\_\_\_)^2=(\sec x-1)(\sec x+1).[/tex]
We will be using the following identity from trigonometry to complete the given identity :
[tex]1+\tan^2\theta=\sec^2\theta\\\\\Rightarrow \sec^2\theta-1=\tan^2\theta~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Now, we have
[tex](\sec x-1)(\sec x+1)\\\\=\sec^2x-1\\\\=\tan^2x~~~~~~~~~~[\textup{from equation (i)}]\\\\=(\tan x)^2.[/tex]
Thus, the complete identity is
[tex](\tan x)^2=(\sec x-1)(\sec x+1).[/tex]
Thus, the required answer is tan x.
Which equation represents a circle with a center at -3,-5 and a radius of 5
Answer: [tex](x+3)^2+(y+5)^2=25[/tex]
Step-by-step explanation:
The equation of the in center-radius form is the shown below:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where the center is at the point (h,k) and r is the radius of the circle.
Based on the information given in the problem, the center of the circle is at the point (-3,-5) and a radius of the circle is 5, then, you must substitute values into the equation shown above.
Therefore, you obtain the following equation:
[tex](x-(-3))^2+(y-(-5))^2=(5)^2[/tex]
[tex](x+3)^2+(y+5)^2=25[/tex]
what asks no questions but must be answered
The riddle 'what asks no questions but must be answered' typically refers to a telephone or a doorbell, both of which signal when someone is attempting to communicate or get attention.
Explanation:The student's question, "what asks no questions but must be answered," is a type of riddle, which is a question or statement intentionally phrased to require ingenuity in ascertaining its answer. In this context, the answer to the riddle is typically the telephone or a doorbell, as both signal when someone is trying to get in contact or gain attention, and generally, one responds to them. Riddles can form part of the teaching in English, particularly when focusing on language play, word definitions, and understanding semantics. They can encourage students to pay attention to wording and to contemplate why certain expressions carry the meanings they do.
DeSean throws a ball up with an initial vertical velocity of 30 ft/s from a platform that is at ground level. How long will the ball be in the air?
Answer:
Time, t = 1.875 seconds
Step-by-step explanation:
It is given that,
Initial velocity of the ball, u = 30 ft/s
DeSean throws a ball from a platform that is at ground level. The equation of motion when an object is thrown vertically upward is given by the following equation as :
[tex]h(t)=-16t^2+vt+h[/tex]
Here, h = 0 since, the ball is thrown up at the ground level. We have to determine the time when the ball be in air. The quadratic equation becomes :
[tex]-16t^2+30t+0=0[/tex]
t = 1.875 seconds
So, the ball be in air for 1.875 seconds. Hence, this is the required solution.
The trainers you bought came in a cuboid shaped box. Which of the following is a net of a cuboid?
Here's what a net of a cuboid looks like if that was what you were asking.
Final answer:
The question involves identifying a net for a cuboid, which is a two-dimensional arrangement of rectangles that can be folded into a three-dimensional box shape.
Explanation:
The subject of the question is identifying a net of a cuboid. A net is a two-dimensional shape that can be folded to form a three-dimensional object. In the case of a cuboid, its net consists of 6 rectangles that correspond to the faces of the cuboid: top, bottom, front, back, and two sides. To create a net, you would draw these 6 rectangles in such an arrangement that when the edges are folded up, they would form the sides of a cuboid. The question requires understanding of basic geometry and how two-dimensional shapes can construct three-dimensional forms.
On a map, 1 inch equals 20 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?
If 1 inch equals 20miles then 8 inches equals 20 x 8 = 160 miles.
So you want to find out the distance for both the cities. Since there are 8 inches to both cities, then the answer would be 160 miles since every inch would equal to 20 miles, which is the actual distance.
Hope this helped!
Nate
Do any of you know the answer to this
Answer: n< -4 , or Interval notation as ( -∞, -4 )
Step-by-step explanation:
* Hopefully the work below helps:) Mark me the brainliest:)!!
∞ 234483279c20∞
Answer:
n < -4 is equivalent to -n > 4Step-by-step explanation:
-n > 4 change the signs
n < -4
Which of these is an example of an employer using benefits to encourage employees to stay with their company
Answer:
maybe convince them for a higher pay rate
Step-by-step explanation:
Plz help me i need it
I'm sorry I'm not entirely sure. But I think -2 and 4. If it's not multiple choice I say -2.
Answer: 4
Step-by-step explanation:
Average rate of change is the slope between that interval
[tex]f(x) = x^2-3\\\\f(1)=1^2-3\\.\qquad =-2\\,\qquad (1, -2)\\\\f(3)=3^2-3\\.\qquad =6\\.\qquad =(3,6)\\\\slope=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\slope=\dfrac{6-(-2)}{3-1}=\dfrac{8}{2}=\large \boxed{4}[/tex]
What is the sum of -3 2/8 + 1/4
Complete the series. 9 = 4, 21 = 9, 22 = 9, 24 = 10, 8 = 5, 7 = 5, 99 = 10, 100 = 7, 16 = ?, 17 =?
just simply count the number of letters in each number, that is to say:
NINE= 4 letters
TWENTY-ONE= 9 letters
so 16=7 since
SIXTEEN is 7 letters
and 17=9 since
SEVENTEEN is 9 letters
1-sin^2x/sinx-cscx
How do I solve this problem? I keep getting the wrong answer.
Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
Consider the following figure. Which of the following statements are true?
A. 2 and 3 form a linear pair
B. 1 and 4 are supplementary angles
C. m1 + m2 + m 3 = 180
D. m3 + m4 = m1 + m2
E. 1 and 4 are vertical angles
The answer would be D and E
The following statements that are true: m1 + m2 + m 3 = 180 and 1 and 4 are vertical angles.
Statement A is false. Angles 2 and 3 are not adjacent to each other, so they do not form a linear pair.
Statement B is false. Supplementary angles add up to 180 degrees, but angles 1 and 4 do not add up to 180 degrees.
Statement C is true. The sum of the measures of the angles in a triangle is 180 degrees. Therefore, the sum of the measures of angles 1, 2, and 3 is 180 degrees.
Statement D is false. Angles 3 and 4 are not opposite each other, so they are not vertical angles.
Statement E is true. Vertical angles are opposite each other, and angles 1 and 4 are opposite each other. Therefore, angles 1 and 4 are vertical angles.
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the pair of variables x=–3, y=8 is the solution to the equation 5x+by=17. Find the coefficient b.
Answer:
Step-by-step explanation:
I think I have helped you before with this problem, substitute x and y with -3 and 8 respectively, so 5*(-3)+8b=17, -15+8b=17, 8b=32, divide both sides by 8 and you get b=4
The number of painters, p, employed to paint a building is inversely proportional to the time taken to paint the building, b. Which equation best models the number of painters required to finish the painting?
Answer:
Option B. [tex]p=k/b[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
Let
p-----> the number of painters
b----> the time taken to paint the building
we know that
[tex]p*b=k[/tex]
so
[tex]p=k/b[/tex]
Answer:
B. [tex]p=\frac{k}{b}[/tex]
Step-by-step explanation:
Given,
The number of painters, p, employed to paint a building is inversely proportional to the time taken to paint the building, b
[tex]\implies p\propto \frac{1}{b}[/tex]
[tex]\implies p=\frac{k}{b}[/tex]
Where, k is the constant of proportionality,
Hence, the required equation that models the relation between p and b is,
[tex]p=\frac{k}{b}[/tex]
Option 'B' is correct.
When you don’t know the answer on a multiple choice questions, it is generally best to:
APEX
When you don’t know the answer on a multiple choice questions, it is generally best to use the process of elimination, make an educated guess, or use prior knowledge to increase your chances of getting the right answer.
Explanation:When you don’t know the answer on a multiple choice questions, it is generally best to:When you encounter a multiple choice question and you don't know the answer, there are a few strategies you can use to increase your chances of getting it right:
Process of elimination: Go through each answer choice and eliminate the ones that you know are incorrect. This reduces the options and increases your chances of guessing correctly.Guess strategically: If you can eliminate a few answer choices, make an educated guess based on the remaining options. For example, if you know that two answer choices are incorrect, your guess will have a 50% chance of being correct.Use prior knowledge: Sometimes, even if you don't know the answer, you can make an educated guess based on what you already know about the subject. Use any clues or information from the question stem to help guide your guess.Remember, when guessing on multiple choice questions, it's important to consider the context of the question and eliminate obvious incorrect choices before making your guess.
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please please help 1-5
Answer:
1. 12 bags for total cost of 119.88
2. Yes. You'll make $180.12 for your labor.
3. Other tools, transportation, weather delay etc.
4. $28.02
5. Yes
Step-by-step explanation:
Begin by finding the area of the field. The field is a rectangle and measures 360 by 160. The area is A = l*w = 360*160 = 57,600 square feet. One bag of fertilizer will cover 5000 square feet. Divide 57,600 by 5000 to find the number of bags needed. You'll need 11.52 bags or rounded 12 bags.
Since each bag costs $9.99, multiply 12 by $9.99 to get the total cost for the fertilizer. The cost is $119.88. If the athletic department pays you $300. You'll make 300 - 119.88 = 180.12 for your labor. This is a good profit.
If you have to purchase another tool for $40, then the cost increases to 159.88. This decreases your profit to 180.12 - 40 = 140.12. Divide your profit 140.12 by the 5 hours you work to find how much you earn per hour. You earn $28.02 per hour.
Yes, I would take the job, since $28.02 is well above minimum wage.
what graph shows the solution to the inequality p ≥ -1
The solution to the inequality [tex]\( p \geq -1 \)[/tex] represents all the values of p that are greater than or equal to -1.
To represent this on a graph, you would draw a number line with an open circle at -1 (since it's "greater than or equal to", not just "greater than"), and then shade to the right to indicate all values greater than -1.
The open circle at -1 indicates that -1 is not included in the solution, and the shaded area to the right indicates all values greater than -1.
x/2 + 3/2 < 5/2 give solution
Start with
[tex]\dfrac{x}{2}+\dfrac{3}{2}<\dfrac{5}{2}[/tex]
Multiply the whole equation by 2. Since 2 is positive, we don't need to switch the inequality sign:
[tex]x+3<5[/tex]
Subtract 3 from both sides:
[tex]x<2[/tex]
A bank teller notices that an account was overdrawn and had a balance that can be represented by –$324. The account holder then deposited 3 checks for $150 each and made 4 withdrawals of $20 each. The teller used the steps below to find the new balance for the account. Step 1 Start: –$324 Deposits: $150 each Withdrawals: –$20 each Step 2 –324 + 3(150) + 4(–20) Step 3 –324 + 450 – 80 = 46 Step 4 The account is overdrawn by $46.
The problem is a basic mathematical exercise involving negative and positive numbers related to bank transactions. The original balance is overdrawn and represented as a negative number, and then deposits and withdrawals are added and subtracted respectively to find the new balance which still ends up overdrawn.
Explanation:The problem given is about mathematical operations and bank transactions. The subject here is a subtraction and addition problem involving negative and positive numbers. The initial account balance represented as '––$324' shows an overdrawn account and is a negative number. Then, the account holder deposited checks, which is a positive value represented by '3(150)', and each deposit is $150 making it a total deposit of $450. Then, the account holder made withdrawals represented by '4(–20)', each withdrawal of $20 thereby making a total withdrawal of $80. Therefore, to find the new balance of the account, the calculation should be as follows: '–324 + 3(150) – 4(20) -> –324 + 450 – 80', which equals 46, indicating that the account is overdrawn by $46.
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how much larger is 8,000,000 than 200 ?
Answer:
7,999,800
Step-by-step explanation:
8,000,000 minus 200 = answer