Answer:
get the inequality first ! x<44
Step-by-step explanation:
3/4x+8<41 ( subtract 8 from both sides. 8 cancels out. and 41-8=33 )
3/4x<33 ( multiply both sides by 4/3)
3/4 ×4/3 = 1
33×33 =44
x<44
and to graph it your line should have a open circle on 44 and point to the left.
kinda like this:
<—————○
My number is the smallest possible number that can be rounded to the nearest 10 to become 650
Answer: 645
Step-by-step explanation: 645 rounded to the nearest 10 is 650. Anything below 645 doesn't round to 650. With the five in the ones place, 645 is the smallest possible number that can be rounded to 650.
Share 1400 in the ratio 7:3
7+3= 10
Let's take 1,400 is to be seperated between A and B
Amount of money A will get = 1400* 7/10= 980
Amount of money B will get = 1400* 3/10= 420
Checking the answer:
980+420 = 1,400
Hence, 1,400 will be shared by ratio 7:3 is 980 and 420.
Correct me, if I am wrong :)
Have a great day!
Thanks!
The cafeteria staff prepared 60 pounds of lasagna. From the lasagna prepared, 80% was sold and 20% was donated to the local fire department for lunch. How much lasagna was donated?
Answer:
12 lbs
Step-by-step explanation:
When finding a percentage you move the decimal point of the percentage to the left twice.
Find the amount that was donated,
60 x 0.2 = 12
So 12 lbs were donated
You can also do it this way:
First we find the amount that was sold,
60 x .80 = 48
Then subtract 48 from the total of 60 to find the left over,
60 - 48 = 12
Which graph represents the function? f(x)=x(x+2)
Answer:
D
Step-by-step explanation:
The one that goes through (-2,0), (-1,-1) and (0,0)
The difference in length of a spring on a pogo stick from its non-compressed length wen a teenager is jumping on it after θ seconds can be described by the function f of theta equals 2 times sine theta plus radical 3 period Part A: Determine hall values where the pogo stick's spring will be equal to its non-compressed length. (5 points) Part B: If the angle was doubled, that is θ became 2θ, what are the solutions in the interval [0, 2π)? How do these compare to the original function? (5 points) Part C: A toddler is jumping on another pogo stick whose length of their spring can be represented by the function g of theta equals 1 minus cosine squared theta plus radical 3 period At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal? (5 points)
Answer:
Refer to your notes from module 6 on this.
Step-by-step explanation:
Complete this test question just like you did the practice question from the module. Remember your test is an open note test, but it is not a copy from the internet test. You can do it!!!
The values of [tex]\theta[/tex] for different conditions were calculated with the help of trigonometric functions.
What are the solutions to trigonometric functions?The solution of trigonometric functions is the values of angles where the function value becomes zero.
Given function is:
A)[tex]f(\theta ) = 2Sin\theta +\sqrt{3}[/tex]
[tex]f(\theta ) = 2Sin\theta +\sqrt{3} = 0\\2Sin\theta = -\sqrt{3} \\Sin\theta =-\frac{\sqrt{3} }{2}[/tex]
[tex]\theta =n\pi +\frac{\pi }{3}[/tex] where n=1,3,5,7......
So, at [tex]\theta =n\pi +\frac{\pi }{3}[/tex] pogo stick's spring will be equal to its non-compressed length.
B)If the angle was doubled, the function will look like this,
[tex]f(\theta ) = 2Sin2\theta +\sqrt{3}[/tex]
[tex]f(\theta ) = 2Sin2\theta +\sqrt{3} =0[/tex]
[tex]2Sin2\theta +\sqrt{3} = 0\\2Sin2\theta = -\sqrt{3} \\Sin2\theta =-\frac{\sqrt{3} }{2}[/tex]
[tex]2\theta =n\pi +\frac{\pi }{3}\\\theta = \frac{n\pi }{2} +\frac{\pi }{6}[/tex]where n=1,3,5,7....
if n=1, [tex]\theta =\frac{2\pi }{3}[/tex]
n=2, [tex]\theta =\frac{7\pi }{6}[/tex]
n=3, [tex]\theta =\frac{5\pi }{3}[/tex]
So, [tex]\theta =\frac{2\pi }{3}, \frac{7\pi }{6} ,\frac{5\pi }{3}[/tex] will be solution in [0,2π}.
C)[tex]g(\theta) =1-cos^{2} \theta +\sqrt{3}[/tex]
[tex]g(\theta) =Sin^{2} \theta + \sqrt{3}[/tex]
[tex]g(\theta) =f(\theta)[/tex]
[tex]sin^{2} \theta +\sqrt{3} = 2Sin\theta+\sqrt{3}[/tex]
[tex]Sin^2\theta = 2Sin\theta[/tex]
[tex]Sin^2\theta-2Sin\theta = 0\\Sin\theta(Sin\theta-2) =0\\Sin\theta =2(NotPOSSIBLE)\\Sin\theta =0[/tex]
[tex]\theta=n\pi[/tex] where n=1,2,3.....
So, [tex]\theta=n\pi[/tex], the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.
Hence, the values of [tex]\theta[/tex] for different conditions were calculated with the help of trigonometric functions.
To get more about trigonometric functions visit:
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9. Find the area of a rectangular park which is 41 m long and 18. m broad. ADVANCED 10. How many tablets of 5mg can be made from 0.5 kg of medicine? 11. Mr.Verma bought a packet of toffees for his daughter and a tin of biscuits for his son. On toffees, he spent 34 of the money spent on biscuits. The price of the tin of biscuits was Rs60.20.How much money did Mr.Verma spend?
Answer:
9. 775 square meters
10. 100,000 tablets
11. ₹105.35
Step-by-step explanation:
9. You want the area of a rectangle 41 2/3 m by 18 3/5 m.
10. You want the number of 5 mg tablets that can be made from 0.5 kg of medicine.
11. You want the total spent if ₹60.20 was spent on biscuits and 3/4 of that amount was spent on toffees.
9. AreaThe area is the product of the length and width:
A = LW
A = (41 2/3 m)(18 3/5 m) = 775 m²
The area of the park is 775 square meters.
10. TabletsIf n is the number of tablets that can be made, their total mass is ...
n(5 mg) = 0.5 kg
n = (0.5 kg)/(5 mg) = (500 g)/(0.005 g) = 100,000
100,000 tablets can be made from the medicine.
11. SpendingThe total spending is the sum of the amounts spent on each item. The amount spent on toffees is 3/4 of the amount spent on biscuits, so the total is ...
₹60.20 + 3/4 · ₹60.20 = (1 +3/4)·₹60.20 = ₹105.35
Mr. Verma spent a total of ₹105.35.
help me to solve thisssss
Answer:
(a + 3)
Step-by-step explanation:
a³ - 9a = a(a² - 9) = a(a + 3)(a - 3)
a² + a - 6 = (a - 2)(a + 3)
a⁴ + 27a = a(a³ + 27) = a(a - 3)(a² + 6a + 9) = a(a - 3)(a + 3)(a + 3)
HCF = (a + 3)
Hope it helps.
;)
<3
A es mayor que B,C es menor que D,E es menor que C,y B es mayor que D
Answer:
Qué es la pregunta
La opción correcta es el menor de todos es E. opción C
Veamos partes por partes lo que tenemos:
1. A es mayor que B: entonces se escribe A > B
2. C es menor que D: entonces se escribe C < D
3. E es menor que C: entonces se escribe E < C
4. B es mayor que D: entonces se escribe B > D
5. Unimos 1 y 2: A > B > D
6. Unimos 5 y 2: A > B > D > C
7. Unimos 6 y 3: A > B > D > C > E
B es el menor de todos: falso, D, C, E son menores que B, D es el menor de todos falso, C y E son menores que D, E es el menor de todos verdadero, D es menor que C falso D es mayor que C.
Factor completely 9x2 42x 49. (3x 7)(3x − 7) (9x − 7)(9x − 7) (3x 7)(3x 7) (9x 7)(9x 7).
Factors of the given expression by splitting middle term of expression[tex]9x^2+42x+49[/tex] will be [tex](3x+7) and (3x+7)[/tex].
Given expression is
[tex]9x^2+42x+49[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder
After we split 42x into 21x each,
The expression looks like,
[tex]9x^2+21x+21x+49[/tex]
[tex]3x(3x+7)+7(3x+7)\\[/tex]
Taking 3x+7 as common
[tex](3x+7) (3x+7)[/tex]
So factors will be (3x+7) and (3x+7).
Therefore,
Factors of the given expression [tex]9x^2+42x+49[/tex] will be [tex](3x+7) and (3x+7)[/tex].
to get more about factors refer to:
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time : 6:30 elaspsed time : 2 h 18 min end time: ?
Answer:
8:48
Step-by-step explanation:
Start with 6. You add 2 hours. Your hour is 8.
You have 30 minutes. Add 18 minutes. You have 30 plus 18 which equals 48. You put the hour which is 8 and the minutes which is 48.
What is the solution to the system of equations?
Answer:
C
Step-by-step explanation:
Replace the X and Y coordinates with the numbers and find the outcomes.
Good luck with the quiz!!!
Another name for slope is the constant rate of change or speed. Question 5 options: True False.
Answer: True
Step-by-step explanation: This is because the slope can be defined as the [tex]\frac{changein yvalues}{changeinxvalues}[/tex]. It is the ratio of vertical (y) and horizontal changes (x) between two points. Rate of change of a function compares these two changes. Speed is essentially the rate at which the position of an object changes, so they are essentially all the same.
The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y. Write any fractions in simplest form.
y=20; x=12
Answer:
k=1.66666666667
3:5 or y+9-x=17
Step-by-step explanation:
idrk, this SHOULD be the correct answer
Can someone help me with this? I’ll give brainliest if you answer.
Answer: yes, they are congruent they are just rotated
Step-by-step explanation:
What is the answer to 7 or 8???
Answer:
7. parallel: k = 3
perpendicular: k = -4/3
8. $1300
Step-by-step explanation:
7.
Rewrite each equation as the slope-intercept form of a linear equation:
y = mx + b (where m is the slope and b is the y-intercept)
8y = 12x + 6
⇒ [tex]y=\dfrac32x+\dfrac34[/tex]
4y = k(2x + 10)
⇒ 4y = 2kx + 10k
⇒ [tex]y = \dfrac12kx + \dfrac52k[/tex]
If the graphs are parallel their slopes will be the same.
[tex]\implies \dfrac32=\dfrac12k[/tex]
[tex]\implies k=3[/tex]
If the graphs are perpendicular then the product of their slopes will be -1.
[tex]\implies \dfrac32 \times \dfrac12k=-1[/tex]
[tex]\implies \dfrac12k=-\dfrac23[/tex]
[tex]\implies k=-\dfrac43[/tex]
8. Create a linear equation, where x is the number of coffee mugs and y is the total cost (in dollars).
Choose 2 ordered pairs from the table: (10, 110) and (20, 195)
Let [tex](x_1,y_1)[/tex] = (10, 110)
Let [tex](x_2,y_2)[/tex] = (20, 195)
Use the slope formula to find the slope m:
[tex]\implies m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{195-110}{20-10}=\dfrac{17}{2}[/tex]
Now use the point-slope form of linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-110=\dfrac{17}{2}(x-10)[/tex]
[tex]\implies y=\dfrac{17}{2}x+25[/tex]
Substitute x = 150 into the equation and solve for y:
[tex]\implies y=\dfrac{17}{2}(150)+25=1300[/tex]
Therefore, the total cost of ordereing 150 mugs is $1300
The sum of half a number, n, and 15 is 24. What is the value of the number n?
Answer:
18
Step-by-step explanation:
n/2 + 15 = 24
subtract 15 from both sides
n/2 = 9
Multiply both sides by 2
n=18
Triangle Z prime is the image of triangle Z after a series of transformations.
On a coordinate plane, triangle Z has points (0, 2), (2, 6), (4, 2). Triangle Z prime has points (negative 2, 3), (negative 1, 5), (0, 3).
Aliyah and Ivan described the sequence of transformations in different ways.
Aliyah’s Sequence
Ivan’s Sequence
1. a reflection of triangle Z across the y-axis
2. a dilation by a scale factor of One-half with the origin as the center of dilation
3. a translation 2 units up
1. a dilation of triangle Z by a scale factor of One-half with the origin as the center of dilation
2. a translation of 2 units up and 2 units to the left
Which sequence or sequences are correct and why?
Only Aliyah is correct. A dilation and translation alone could not produce triangle Z prime .
Only Ivan is correct because the dilation must be the first step in the sequence.
Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle Z prime.
Neither Aliyah nor Ivan is correct because the scale factor they chose for the dilation is incorrect.
Mark this and return
Answer:
ONLY ALIYAH IS CORRECT
Step-by-step explanation:
JUST DID IT
How many litres of fuel will a car use to travel 450 km if its fuel consumption is 6,8 km/l?
Answer:
the car will use 10.64 liters of fuel to travel 450 km
Step-by-step explanation:
**ILL GIVE BRAINLIEST! PLEASE HELP !! :)**
Please help! 20 points thanks :)
Answer:
A) This line is a negative slope.
Step-by-step explanation:
It is a negative slope because the y value goes down as the x value increases.
Have a great day!
Please mark brainliest and rate!
How many solutions can be found for the equation 4x 5 = 10? Zero One Two Infinitely Many.
Answer:
there is one answer
Step-by-step explanation:
4x⁵ = 10 →
[tex]x = \sqrt[5]{ \frac{10}{4} } = \sqrt[5]{2.5} [/tex]
WILL GIVE BRAINLIEST The number of milligrams of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.
When the number of milligrams reaches 6 , the drug is to be injected again. How much time is needed between injections?
Round your answer to the nearest tenth, and do not round any intermediate computations.
Answer:
3.6 hours
Step-by-step explanation:
[tex]D(h) = 25 {e}^{ - 0.4h} \\ \\ \implies \: 6 = 25 {e}^{ - 0.4h} \\ \\ \implies \: \frac{6}{25} = {e}^{ - 0.4h} \\ \\ \implies \: 0.24 = {e}^{ - 0.4h} \\ Taking\: natural\: log\:both\: sides \\ In(0.24) = - 0.4h \: In\: e \\ \\ \implies \: -1.42711635564 = - 0.4h\\(\because\:In\:e=1) \\ \\ \implies \: h= \frac{-1.42711635564}{ - 0.4} \\ \\ \implies \: h = 3.5677908891 \\ \\ \implies \: h = 3.6 \: hours[/tex]
Which statements are true? Check all that apply. The population density for Montana can be found using the ratio 1,005,141:145,552. The population density for Oregon can be found using the ratio 95,997:3,899,353. The population density for Hawaii is greater than the population density for Florida. The state with the smallest population density is Oregon. The state with the smallest population density is Montana.
Florida has the highest population while Montana has the smallest population.
The statements that are true are;
The population density for Montana can be found using the ratio of 1,005,141:145,552.The state with the smallest population density is Montana.What is the pollution of Montana?The table in the question is presented as follows;
[tex]\rm Population \ density=\dfrac{Total \ population \ of \ the \ area}{Total \ area}[/tex]
By rounding down to the next whole number, we have
Population density of Florida is; 19,317,568 ÷ 53,927 mi² ≈ 358 per mi²
The population density of Hawaii is; 1,392,313 ÷ 6,423 mi² ≈ 216 per mi²
Population density of Montana is; 1,005,141 ÷ 145,552 mi² ≈ 6 per mi²
Population density of Oregon is; 3,899,353 ÷ 95,997 ≈ 40 per mi²
Therefore;
The population density for Montana can be found using the ratio of 1,005,141:145,552.
The population density of Florida (approximately 358 per mi.²) is greater than the population density of Hawaii (approximately 216 per mi²).
Montana is the state with the smallest population density with approximately 6 persons per square mile.
The true statements are;
The population density for Montana can be found using the ratio of 1,005,141:145,552.
The state with the smallest population density is Montana.
Learn more about population density here:
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Answer:
its a and e
Step-by-step explanation:
edge
What is the answer to this with explanation please
Write all factors of 21
Answer:
1, 3, 7, 21
Step by step explanation:
Answer:
1
3
7
21
^^Factors : )
Step-by-step explanation:
anyone? I’ll brainlist.
Answer:
v = 18.38
Step-by-step explanation:
We are going to use the Pythagorean theorem
We see that there are double slits on the right side of the triangle, indicating that 5.22 applies to the other double slits, making it 5.22.
Now we put that in the equation of [tex]b=\sqrt{c^2-a^2}[/tex]
[tex]b = \sqrt{19.11^2+5.22^2}[/tex]
[tex]b = \sqrt{365.1921-27.2484}[/tex]
[tex]b = \sqrt{337.9437}[/tex]
[tex]b = 18.3832450889[/tex]
Rounded
v = 18.38
Did I earn my crown?
Give the other guy brainliest
3x – 4y = 10
2x - 4y = 6
If (x, y) satisfies the system of equations above, what is the value of y?
Answer:
[tex]y=\frac{1}{2}[/tex]
Step-by-step explanation:
We can solve this system using elimination.
In this case, we can eliminate y by subtracting both equations...
[tex]3x-2x-4y-(-4y)=10-6\\x-4y+4y=10-6\\x=4[/tex]
Then, substitute 4 for x to solve for y...
[tex]3x-4y=10\\3(4)-4y=10\\12-4y=10\\\text{Subtract 12 from both sides}\\-4y=-2\\\text{Divide both sides by -4}\\y=\frac{1}{2}[/tex]
Answer:
y=1/2
Step-by-step explanation:
3x-4y=10..............{1]
2x-4y=6................(2)
subtract equa(2) from equa(1)
x=4
substitute x=4 into equa(1)
3(4)-4y=10
12-4y=10
-4y=10-12
-4y=-2
y=1/2
19 points!!!!! Tyrone wants to know how much wrapping papers is needed to cover a box with the dimensions shown
Answer:
B. 54 square inches
Step-by-step explanation:
Surface Area
= 2(lb + bh + lh)
= 2(6 x 3 + 3 x 1 + 6 x 1)
= 2(18 + 3 + 6)
= 2(27)
= 54 square inches
The correct option is (B).
Find the unit rate
10 ounce jar of peanut butter is $3.90
Answer:
$0.39 per ounce of peanut butter
Step-by-step explanation:
per ounce is divided by 10
hope that helped!
Subtract 3x^2+8x from -9x^2 +3x-8
