Answer:
x≥4
Step-by-step explanation
24+4x≥40. Subtract 24 from both sides to get 4x≥16. Divide both sides by 4 to get x≥4.
Answer:
it requires more than or equal to 4 tanks
Step-by-step explanation:
An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has already consumed 24 gallons of water. How many more tanks x of water does the elephant need to drink? Write your answer as an inequality.
An elephant drinks 40 gallons of water
a tank contains 4 gallon of water
lets convert the 40 gallons of water to tanks,t
40/4=10t
the elephant has consumed 24 gallons already
it means it has consumed 24/4=6t
x=more tanks need to drink
xt+6t≥10t..................1
xt≥10t-6t
x≥4
it requires more than or equal to 4 tanks
if you set x+5 = 0
the term inside the cube
then solve for x
Points S,U, and T are the midpoints of the sides of PQR. Which statements are correct ? 1/2QP=UT 1/2TS=RQ SU=PR SU||RP UT=RP
Answer:
A) 1/2QP=UT
D) SU II RP
Step-by-step explanation:
A & D ARE THE ANSWERS
The correct statements are 1/2QP=UT and SU||RP.
Explanation:In this question, we are given that points S, U, and T are the midpoints of the sides of triangle PQR. We need to determine which statements are correct.
1/2QP=UT: This statement is correct. Since S, U, and T are midpoints, we know that SU is parallel to PQ and UT is parallel to QR. Therefore, by the Midpoint Theorem, we have 1/2QP = UT.SU=PR: This statement is incorrect. Since S and U are midpoints, we know that SU is parallel to QR, not PR.SU||RP: This statement is correct. Since S and U are midpoints, we know that SU is parallel to QR. Therefore, SU is also parallel to RP.UT=RP: This statement is incorrect. Since U and T are midpoints, we know that UT is parallel to PQ, not RP.Faye can sort 150 recyclable items in 3 minutes.How many recyclable items can Faye sort in 4 minutes?
Answer:
200
Step-by-step explanation:
150/3=50 so she sorts 50 items per minute, then 50*4=200
Answer:
Number of recyclable items sort in 4 minutes by Faye = 200
Step-by-step explanation:
Given that Faye can sort 150 recyclable items in 3 minutes.
Number of recyclable items sort in 3 minutes = 150
[tex]\texttt{ Number of recyclable items sort in 1 minute =}\frac{150}{3}=50[/tex]
Number of recyclable items sort in 4 minutes = 4 x Number of recyclable items sort in 1 minute
Number of recyclable items sort in 4 minutes = 4 x 50 = 200
Number of recyclable items sort in 4 minutes by Faye = 200
Solve the linear equation.
7x+10=1/3(12x−3)+14x
Enter your answer in the box.
[tex]7x+10=\dfrac{1}{3}(12x-3)+14x\qquad\text{use distributive property}\\\\7x+10=\dfrac{1}{3}\cdot12x-\dfrac{1}{3}\cdot3+14x\\\\7x+10=4x-1+14x\\\\7x+10=18x-1\qquad\text{substitute 10 from both sides}\\\\7x=18x-11\qquad\text{subtract 18x from both sides}\\\\-11x=-11\qquad\text{divide both sides by (-11)}\\\\\boxed{x=1}[/tex]
Answer:
I believe the correct awnser is x=1 I took the test
The radius of a cylindrical construction pipe is 2ft. If the pipe is 19ft long, what is its volume?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
239 ft³
Step-by-step explanation:
Multiply the squared radius by π:
2*2*3.14=12.56 ft².
Multiplying the height:
12.56*19≅239 ft³.
Write the first five terms of the sequence defined by the recursive formula
Answer:
The correct answer option is: [tex]S_9=\frac{9}{2} (2+26)[/tex]
Step-by-step explanation:
We know that,
the sum of the first [tex]n[/tex] terms of an Arithmetic Sequence is given by:
[tex]S_9=\frac{n(a_1+a_n)}{2}[/tex]
where [tex]n[/tex] is the number of terms,
[tex]a_1[/tex] is the first term of the sequence; and
[tex]a_n[/tex] is the first term of the sequence.
So for [tex]a_n=3n-1[/tex],
[tex]a_1=3(1)-1=2[/tex]
and
[tex]a_9=3(9)-1=26[/tex]
Putting these values in the formula to get:
[tex]S_9=\frac{9(a_1+a_9)}{2}[/tex]
[tex]S_9=\frac{9(2+26)}{2} \\\\S_9=\frac{9}{2} (2+26)[/tex]
First five terms:
[tex]a_1=3(1)-1=2[/tex]
[tex]S_1=\frac{1(2+2)}{2}[/tex]=2
[tex]a_2=3(2)-1=5[/tex]
[tex]S_2=\frac{2(2+5)}{2}[/tex]=7
[tex]a_3=3(3)-1=8[/tex]
[tex]S_2=\frac{3(2+8)}{2}[/tex]=15
[tex]a_4=3(4)-1=11[/tex]
[tex]S_4=\frac{4(2+11)}{2}[/tex]=26
[tex]a_5=3(5)-1=14[/tex]
[tex]S_5=\frac{5(2+14)}{2}[/tex]=40
Answer: the corrrect one is A s9=9/2(2+26)
Complex Roots Problem #5
Question: if a parabola never touches the x axis, then it doesn't have any real roots or solutions
Answer: True
A real solution only occurs if the graph touches or crosses the x axis, as the x intercept (or root) is a visual indication of a real number solution. In this case, we have 2 complex solutions for the parabola
--------------------------------------------------------------
Question: What number is equivalent to sqrt(-49) ?
Answer: choice A) 7i
Simplify as follows
sqrt(-49) = sqrt(-1*7^2)
sqrt(-49) = sqrt(-1)*sqrt(7^2)
sqrt(-49) = i*7
sqrt(-49) = 7i
note: be careful not to toss in -7i as one of the answers, because it's not. The square root of a number is exactly one output. For instance, if you take the square root of 25, the result is 5 (not plus or minus 5).
The American Veterinary Medical Association believes that half of veterinary clinics do not treat large animals (cows, horses, etc.). The American Veterinary Medical Association conducted a survey of veterinary clinics to estimate the proportion that do not treat large animals (cows, horses, etc.). In the survey of 120 randomly selected veterinary clinics throughout the country, 88 responded they do not treat large animals. The test statistic for the above hypothesis test about the proportion of clinics that do not treat large animals is... (Round your answer to two decimal places)
Final answer:
The test statistic for the hypothesis test regarding the proportion of veterinary clinics that do not treat large animals is approximately 5.11, calculated using the formula for the test statistic of a proportion.
Explanation:
The student is asking about calculating a test statistic for a hypothesis test concerning the proportion of veterinary clinics that do not treat large animals such as cows and horses. The proportion as per the American Veterinary Medical Association's belief is 0.5, and the survey conducted has resulted in 88 out of 120 clinics stating they do not treat large animals. To find the test statistic, we can use the formula for the test statistic of a proportion:
Test Statistic (Z) = (p - P₀) / √(P₀(1 - P₀)/n), where p is the sample proportion, P₀ is the null hypothesis proportion, and n is the sample size.
In this case:
p = 88/120
P₀ = 0.5 (as per the hypothesis)
n = 120
Substituting these values, we get:
Z = (88/120 - 0.5) / √(0.5 * (1 - 0.5) / 120) = (0.7333 - 0.5) / √(0.25 / 120) = 0.2333 / √(0.0020833) = 0.2333 / 0.04564 ≈ 5.11
Therefore, the test statistic is approximately 5.11, when rounded to two decimal places.
He price of a shampoo, cut, and style at the hairstyling salon where you work is $18.00. You generally get a 20% tip from each customer, and the salon owner pays you 1/4 of each job's cost. On a typical day, you give shampoos, cuts, and styles to 8 customers. About how much can you expect to earn on such a day?
Answer:
total earning is $64.80
Step-by-step explanation:
Price of one work = $18.00
Payment by owner = 1/4 of $18.00
= 18/4
= $4.50
Earning by tip = 20% of $18.00 = 20/100 x18 = 3.60
Total earning from one work = $4.50+$3.60
= $ 8.10
Earning from 8 tips = 8x8.10
= $64.80
Both the football and volleyball teams have games today. The football team plays every 7 days. The volleyball team plays every 3 days. When will both teams have games on the same day again? A. in 14 days c. in 7 days b. in 21 days d. in 10 days
The least common multiple of 7 and 3 is 21, so both the football and volleyball teams will have games on the same day again in 21 days.
The question requires us to determine when the football and volleyball teams will have games on the same day again. Since the football team plays every 7 days and the volleyball team plays every 3 days, we are looking for the least common multiple (LCM) of 7 and 3, which represents the number of days until both teams will have games on the same day again.
To find the LCM of 7 and 3, we can list the multiples of each number until we find a common multiple:
Multiples of 7: 7, 14, 21, 28, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...
The first common multiple we encounter is 21. Therefore, both teams will have games on the same day again in 21 days.
The surface area of a right circular cylinder of height 2 feet and radius r feet is given by S(r)=2πrh+2πr2. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3.
24π
64π
20π
16π
S(r) = 2pi*r*h + 2pi*r^2
S ' (r) = 2pi*h + 2*2*pi*r .... differentiate with respect to r
S ' (r) = 2pi*h + 4pi*r
S ' (3) = 2pi*h + 4pi*3 ... plug in r = 3
S ' (3) = 2pi*h + 12pi
S ' (3) = 2pi*2 + 12pi .... plug in h = 2
S ' (3) = 4pi + 12pi
S ' (3) = 16pi
---------------
Answer: D) 16pi
The instantaneous rate of change of the surface area with respect to the radius, r, when r = 3, is 16π
What is cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Given that, the surface area of a right circular cylinder of height 2 feet and radius r feet is given by S(r) = 2πrh+2πr².
We need to find, the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3.
Taking the differentiation, of the formula given, S(r) = 2πrh+2πr². w.r.t radius r,
d [S(r)] / dr = 2πh + 4πr
= 2π [h + 2r]
Put h = 2, r = 3
= 16π
Hence, the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3, is 16π
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Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 sin(x) + 5 cos(x), 0 ? x ? 2? (a) find the interval on which f is decreasing. (enter your answer using interval notation.)
Answer: [tex]\bold{[\dfrac{\pi}{4},\dfrac{5\pi}{4}]}[/tex]
Step-by-step explanation:
Step 1: Create a table
x | 5sinx + 5cosx = y
0 | 0 + 5 = 5
[tex]\frac{\pi}{2}[/tex] | 5 + 0 = 5
π | 0 + -5 = -5
[tex]\frac{3\pi}{2}[/tex] | -5 + 0 = -5
2π | 0 + 5 = 5
Notice that y = 5 at 0 and [tex]\frac{\pi}{2}[/tex] , so there will be a vertex at their midpoint. Similarly at y = -5.
Midpoint of 0 and [tex]\frac{\pi}{2}[/tex] is [tex]\dfrac{\pi}{4}[/tex] . Midpoint of π and [tex]\frac{3\pi}{2}[/tex] is [tex]\dfrac{5\pi}{4}[/tex]
(graph is attached to confirm interval)
Which method is used to reduce a fraction to its lowest form? FOIL method Inverse operations method Cancellation method Addition-subtraction method
Answer: Cancellation method
Step-by-step explanation:
You divide the denominator by the denominator number to cancel the fraction out.
The Cancellation method is used to simplify a fraction to its lowest form. It is done by finding the Greatest Common Divisor (GCD) of the numerator and the denominator and dividing both by this number.
Explanation:The method used to reduce a fraction to its lowest form is the Cancellation method. This method involves finding the greatest common divisor (GCD) of the numerator and the denominator of the fraction. Once the GCD is found, divide both the numerator and the denominator by this number. This will reduce the fraction to its simplest or lowest form. For example, if we have the fraction 6/8, the GCD of 6 and 8 is 2. Dividing both 6 and 8 by 2, we retrieve the reduced fraction which is 3/4.
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Find the slope of the line
Answer: 1/4
Step-by-step explanation:
Take any two point on the line: my starting point is -4,0 and I will be moving to 0,1.
Remember that slope = rise/run, so count up one and go to the right 4 to get to 0,1, so it would be 1/4.
Hopefully that explains it!
We can use the points (4, 0) and (0, 1) to solve.
Slope formula: y2-y1/x2-x1
= 1-0/0-4
= 1/4
Best of Luck!
Please answer this question! Thirty points and brainliest!
Answer:
d. 40
Step-by-step explanation:
x/4 - 7=3
Add 7 to both sides
x/4 - 7+7=3+7
x/4 = 10
Multiply by 4 on each side
x/4*4 = 10*4
x = 40
Answer:The Answer of this probelm is D 40.
Step-by-step explanation:
x/4 - 7=3
First you need to add 7 to both sides
x/4 - 7+7=3+7
x/4 = 10
second you need to multiply by 4 on each side
x/4*4 = 10*4
Once you finish this should be your final answer right here x = 40
Hope this helps
Solve the linear equation.
7x+10=13(12x−3)+14x
Enter your answer in the box.
x =
[tex]7x+10=13(12x-3)+14x\qquad\text{use distributive property}\\\\7x+10=(13)(12x)+(13)(-3)+14x\\\\7x+10=156x-39+14x\\\\7x+10=170x-39\qquad\text{subtract 10 from both sides}\\\\7x=170x-49\qquad\text{subtract 170x from both sides}\\\\-163x=-49\qquad\text{divide both sides by (-163)}\\\\\boxed{x=\dfrac{49}{163}}[/tex]
M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ
When it comes to equity, what does it mean to have negative equity or be under water?
Answer:
The amount owed is greater than the cars worth (apex)
Step-by-step explanation:
I need help on this, please hurry and thank you!
Answer:
[tex]A.\ a_n=n^2+1[/tex]
Step-by-step explanation:
[tex]Check:[/tex]
[tex]a_n=n^2+1\\\\a_1=1^2+1=1+1=2\qquad CORRECT\\\\a_2=2^2+1=4+1=5\qquad CORRECT\\\\a_3=3^2+1=9+1=10\qquad CORRECT\\\\a_4=4^2+1=16+1=17\qquad CORRECT\\\\a_5=5^2+1=25+1=26\qquad CORRECT[/tex]
Used PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
First Power, next Addition
Answer: A.
Step-by-step explanation:
2, 5, 10, 17, 26
First, check the difference between each term:
2 → 5 = +3
5 → 10 = +5
10 → 17 = +7
17 → 26 = +9
Since the difference (d) is not the same, this is not an arithmetic sequence.
Now, check the second tier {3, 5, 7, 9}
3 → 5 = 2
5 → 7 = 2
7 → 9 = 2
The difference (d) of the second tier is the same, so it is an exponential sequence.
--> the only option that is an exponential sequence is option A.
Stacy is attending music festival the tickets for the festival cost $87.96. Staci plans to purchase $30 T-shirts from the event for close friends. She's taking $200 to the festival. What is the maximum number of T-shirts Staci can purchase
complex roots problem
Answer:
b^2-4ac >0 the roots are real
Step-by-step explanation:
b^2-4ac >0 the roots are real
b^2-4ac = 0 there is 1 root
b^2 -4ac <0 the root are complex
Perry set450 chairs up perry put 20 chairs in a row he already set up15 rows howmany more chairs he need to set up
Work out the total charge for these tickets when paying by credit card.
Billy wants tickets huh okay.....
Alright so first off what information do we have?
We know that 4 adult tickets are 15 Euros each
2 child tickets are 10 Euros each
Ok simple calculations here
4*15 = 60
2*10 = 20
Total is 80 Euros charge
10% booking fee
so 10% of 80 is 8 (Add this onto the total bill) = 88
3% of 88 is (well 1% is 0.88 3% is 0.88 * 3 = 2.64)
Total bill now is 90.64 (Might aswell add taxes now poor billy spending a 100)
By the way your answer is 90.64
Drew bout a chemistry book for $30. Later that book was marked down by 20%. By how much has the value been decreased
17. Write the equation of a line that is perpendicular to the given line and that passes through the given point.
y - 2 = 7/3 (x + 5); (-4, 9)
[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the line in point-slope form:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\\\y-2=\dfrac{7}{3}(x+5)\to m_1=\dfrac{7}{3}\\\\\text{therefore}\ m_2=-\dfrac{1}{\frac{7}{3}}=-\dfrac{3}{7}.\\\\\text{We have the slope}\ m=-\dfrac{3}{7}\ \text{and the point}\ (-4,\ 9).\ \text{Substitute:}\\\\y-9=-\dfrac{3}{7}(x-4))\\\\\boxed{y-9=-\dfrac{3}{7}(x+4)}[/tex]
Identify the values of the variables. Give your answers in simplest radical form. PLEASE HELP!!
First question:
By definition of sine and cosine, we have
[tex]\sin30^\circ=\dfrac h{\sqrt5}\implies h=\dfrac{\sqrt5}2[/tex]
[tex]\cos30^\circ=\dfrac g{\sqrt5}\implies g=\dfrac{\sqrt{15}}2[/tex]
Second question:
By definition of tangent, we have
[tex]\tan60^\circ=\dfrac{5\sqrt2}x\implies x=\dfrac{5\sqrt2}{\sqrt3}=\dfrac{5\sqrt6}3[/tex]
Then by Pythagoras' theorem,
[tex](5\sqrt2)^2+x^2=y^2\implies y=\sqrt{(5\sqrt2)^2+\left(\dfrac{5\sqrt6}3\right)^2}=\sqrt{50+\dfrac{50}3}=\sqrt{\dfrac{200}3}=\dfrac{10\sqrt6}3[/tex]
PLEASE HELP ME WITH THIS PROBLEMS 1.
Answers: -4, 5
Step-by-step explanation:
[tex]e^{x^{2}}=e^{x}*e^{20}[/tex]
[tex]e^{x^{2}}=e^{x+20}[/tex]
x² = x + 20
x² - x - 20 = 0
(x + 4)(x - 5) = 0
x + 4 = 0 x - 5 = 0
x = -4 x = 5
**************************************************
Answers:
a. domain: (-∞,∞)b. range: (-∞, 0)c. y-intercept: [tex]-\dfrac{1}{8}[/tex]d. horizontal asymptote: y = 0e. graph: see attachmentStep-by-step explanation:
domain: there are no restrictions on the x-value so x = All Real Numbers
range: since the new graph has a reflection then y < 0
y-intercept is when x = 0:
y = -2⁰⁻³ = -2⁻³ = [tex]-\dfrac{1}{2^{3}}[/tex] = [tex]-\dfrac{1}{8}[/tex]horizontal asymptote: y ≠ 0 so the H.A. is y = 0
graph: The parent graph is: y = 2ˣ
The new graph of y = -2ˣ⁻³ has the following transformations:
reflection over the x-axishorizontal shift 3 units to the right***************************************************************************
graph: see attachment
(0, 0) and (-1/3, 1)
(-1, ∞)
x = -1
Brad went skiing at Snowfall Lodge on Cone Mountain (a mountain shaped like a perfect right cone) for his spring break vacation. During his stay, he decided to go down the park's black diamond speed trail which is a straight path down the side of the mountain. The trail starts at the very top of the mountain and is 3,150 feet long. If the radius of Cone Mountain is 1,890 feet, how tall is Cone Mountain? A. 1,260 feet B. 2,835 feet C. 2,520 feet D. 3,675 feet
The height of Cone Mountain, given the trail length and the radius, would be C. 2,520 feet
How to find the height ?
To find the height of Cone Mountain, we can use the properties of a right circular cone. The key relationship we'll use is the Pythagorean theorem :
[tex]l^2 = r^2 + h^2[/tex]
The slant height (l) is the length of the trail, which is 3,150 feet.
The radius (r) is 1,890 feet.
Pythagorean theorem:
[tex](3,150)^2 = (1,890)^2 + h^29,922,500 = 3,572,100 + h^2[/tex]
Make h the subject:
[tex]h^2 = 9,922,500 - 3,572,100\\h^2 = 6,350,400[/tex]
Take the square root of both sides to find h:
h = √(6,350,400)
h = 2,520 feet
Find the following measure for this figure. Area of base= 6 square units, 8 square units. 12 square units
Answer:
8 square units
Step-by-step explanation:
Base area= Length* width
Base area= 4* 2
Base area= 8 square units
Answer:
8 square units
Step-by-step explanation:
Base area= Length* width
Base area= 4* 2
Base area= 8 square units
Has anyone done the answers for Algebra 2 EOCA Semester 1 Final with 35 questions???
https://www.instagram.com/p/BrmVYxdng6E/?utm_source=ig_share_sheet&igshid=48phrkm4370w
55 points for all answers correctly answered please. Need done ASAP by tomorrow morning
Answer:
Correct choices are A and D.
Step-by-step explanation:
According to the table for the given function [tex]h(x),[/tex] you can write the same table for the inverse function [tex]h^{-1}(x).[/tex] With this aim change [tex]x[/tex] into [tex]h^{-1}(x)[/tex] and [tex]h(x)[/tex] into x:
[tex]\begin{array}{ccccccc}x&2&5&8&11&14&17\\h^{-1}(x)&0&1&2&3&4&5\end{array}[/tex]
Then you can see that points (5,1) and (2,0) are on the graph of the inverse function.