Answer:
Charmaine earns $60.90 for 6h for mowing and 1h for babysitting.
Step-by-step explanation:
We must write the data problems.
Charmaine = $8.80/h mowing
Charmaine = $8.10/h babysitting
How much will Charmaine earn for 6 h mowing and 1 h babysitting?
1 h mowing ....................... $8.80
6 h mowing ....................... $x
x = 6 h mowing * $8.80
x = $52,8
To find the total earn of Charmaine, we have to gather the earns from mowing and babysitting.
$52,8 (from mowing) + $8.10 (from babysitting) = $60.90
For a quadratic function that models the height above ground of a projectile, how do you determine the maximum height or the time when the projectile reaches the ground?
Answer:
a. y(t) = - 1/2gt² + y₀ b. [tex]t = \frac{v_{0} +/- \sqrt{v_{0} ^{2} + 2 y_{0}g } }{g }[/tex]
Step-by-step explanation:
Let the quadratic function y(t) = v₀t - 1/2gt² + y₀ represent the quadratic function that models the height above the ground of the projectile.
a. Maximum Height
At maximum height, the velocity, v₀ = 0, so substituting v₀ = 0 into the equation, we have
y(t) = v₀t - 1/2gt² + y₀
y(t) = 0 × t - 1/2gt² + y₀
y(t) = 0 - 1/2gt² + y₀
y(t) = - 1/2gt² + y₀
b. Time when the projectile reaches the ground
The time when the projectile reaches the ground is gotten when y(t) = 0, So
y(t) = v₀t - 1/2gt² + y₀
0 = v₀t - 1/2gt² + y₀
re-arranging, we have
1/2gt² - v₀t - y₀ = 0
Using the quadratic formula,
[tex]t = \frac{-(-v_{0}) +/- \sqrt{(-v_{0}) ^{2} - 4 X (-y_{0}) X\frac{g}{2} } }{2 X \frac{g}{2} } \\= \frac{v_{0} +/- \sqrt{v_{0} ^{2} + 2 y_{0}g } }{g }[/tex]
which is NOT equivalent to 40+20? A.10(4+2) B.5(8+4) C.4(10+16) D.2(20+10)
Answer:
C
Step-by-step explanation:
40+20=60
A.10(4+2) = 60
B.5(8+4) = 60
C.4(10+16) = 104
D.2(20+10) = 60
Answer:C
Step-by-step explanation:
First we find out what 40+20 is which is 60
So now we go through each choice to see if any doesn’t equal 60
A.10(4+2)
10*6=60
B.5(8+4)
5*12=60
C.4(10+16)
4*26=104
D.2(20+10)
2*30=60
As you can see C is 104 not 60 so c is the answer
The 5km (5000 meters) hiking trail will have markers placed every 800 m. How many markers will be used? Explain why your awnser is reasonable.
Answer:
6 markers
Step-by-step explanation:
5000/800 = 6.25
We can't have a quarter of a marker
If we were to round up it would have to be 5.6 km to fit 7 so we have to round down, and the answer is 6
In addition, along the 5000 m trail there will be one at 800, 1600, 2400, 3200, 4000, and 4800
We can only fit 6 of them along the trail if they are spaced 800 m apart so 6 markers will be able to fit on a 5k trail
Answer:
We need to calculate how many times there are 800 meters on 5000 meters.
To know so, we can divide 5000 by 800:
5000/800 = 6.25
So now, we know there are 800 meters 6.25 times on this trail.
So, how many markers have to be used? There have to be used 6, as the other 0.25 times will be the last 200 meters of the trail (800*0.25) and we only have to put a mark each 800.
We can also do this manually, from the start:
First mark would be at 800, next at 1600, next at 2400, next at 3200, next at 4000 and the last one at 4800. As we have said, 6 markers.
Solve for x
-10x= 2 (9 - 2x)
A: 3
B: 9/7
C: -3
D: -9/7
Answer:
c.) x = -3
Step-by-step explanation:
Solve for x:
-10 x = 2 (9 - 2 x)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
-10 x = 18 - 4 x
Hint: | Move terms with x to the left hand side.
Add 4 x to both sides:
4 x - 10 x = (4 x - 4 x) + 18
Hint: | Look for the difference of two identical terms.
4 x - 4 x = 0:
4 x - 10 x = 18
Hint: | Combine like terms in 4 x - 10 x.
4 x - 10 x = -6 x:
-6 x = 18
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -6 x = 18 by -6:
(-6 x)/(-6) = 18/(-6)
Hint: | Any nonzero number divided by itself is one.
(-6)/(-6) = 1:
x = 18/(-6)
Hint: | Reduce 18/(-6) to lowest terms. Start by finding the GCD of 18 and -6.
The gcd of 18 and -6 is 6, so 18/(-6) = (6×3)/(6 (-1)) = 6/6×3/(-1) = 3/(-1):
x = 3/(-1)
Hint: | Simplify the sign of 3/(-1).
Multiply numerator and denominator of 3/(-1) by -1:
Answer: x = -3
If x -√2=√8, then what is the value of x?
Answer:
x = 3[tex]\sqrt{2}[/tex]
step-by step:
x -√2=√8
x = [tex]\sqrt{12}[/tex]
x = [tex]\sqrt{6 * 2}[/tex]
x = [tex]\sqrt{2 * 2 * 3}[/tex]
x = 3[tex]\sqrt{2}[/tex]
Answer:
x = 3 sqrt(2)
Step-by-step explanation:
x -√2=√8
Add sqrt(2) to each side
x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)
x = sqrt(8)+ sqrt(2)
Rewriting sqrt(8) as sqrt(4) sqrt(2) = 2 sqrt(2)
x = 2 sqrt(2)+ sqrt(2)
x = 3 sqrt(2)
Help PLease URGENT!! 10 POINTS
Answer:
1,3
2,4
5,5
Step-by-step explanation:
x,y
0,2
Answer:
(1,3),(2,4),(3,5)
Step-by-step explanation:
Remember that when plotting points, the x value comes first and then the y value.
Look at the graph, x value then y value, to find the point locations.
Cheers.
The length of the hypotenuse of a right triangle is 30 inches. The length of one leg is 27 inches. To the nearest tenth, what is the length of the
other leg?
The length of the other leg is 13.1
Given.
The length of the hypotenuse of a right triangle is 30 inches.
The length of one leg is 27 inches.
To the nearest tenth, we need to find the length of the other leg.
What is a Pythagorean theorem?It states that in a right-angled triangle the square of the hypotenuse is equal to the square of the other two sides.
We have,
Length of the hypotenuse = 30 inches.
Length of One leg = 27 inches.
Let the length of the other leg be x.
Now,
Applying the Pythagorean theorem.
30² = 27² + x²
900 = 729 + x²
Subtracting 729 on both sides
900 - 729 = 729 + x² - 729
171 = x²
x² = 171
x = 13.07669
Rounding to the nearest tenth
We get,
x = 13.1
Thus the length of the other leg is 13.1
Learn more about the finding length of a side of a right-angled triangle here:
https://brainly.com/question/13515866
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Please i need help When is the product of the square root of a prime number and a nonzero rational number a rational number?
Answer:
The product of the square root of a prime number and a nonzero rational number is a irrational number.
Step-by-step explanation:
Given that,
When is the product of the square root of a prime number and a nonzero rational number a irrational number.
We know that,
Prime number :
Prime number is that number whose has a two factor. first factor is one and second is themselves.
The square root of a prime number is irrational number.
Rational number :
Rational number is that number which is in fraction form.
For example : [tex]\dfrac{p}{q}[/tex]
Here, p and q are integers
We need to proof the product of the square root of a prime number and a nonzero rational number is a rational number
Using given data
Suppose, the square root = √5
Rational number = [tex]\dfrac{2}{3}[/tex]
We need to calculate the product of the square root of a prime number and a rational number
Using formula of product
[tex]R=P\timesQ[/tex]
Where, P = square root of a prime number
Q= rational number
Put the value into the formula
[tex]R=\sqrt{5}\times\dfrac{2}{3}[/tex]
[tex]R=\dfrac{2\sqrt{5}}{3}[/tex]
Hence, The product of the square root of a prime number and a nonzero rational number is a irrational number.
Find two numbers between 1.4142133 and 1.41422
Hey there! I'm happy to help!
To find the number halfway between two numbers, you simply add them and then divide by two.
1.4142133+1.41422=2.8284333
2.8284333/2=1.41421665
That is one number in between these two. Now, we can find the number in between the middle number and the second number. This is another number in between our two numbers.
(1.41421665+1.41422)/2=1.414218325
You could keep on doing this and find tons of numbers in between these two.
Therefore, two numbers between 1.4142133 and 1.41422 are 1.41421665 and 1.414218325.
Have a wonderful day! :D
Write an absolute value equation that has the solutions 2 = 8 and x = 18.
The equation is:
:))
Answer:
Absolute value equation: |x - 13| = 5
Step-by-step explanation:
The midpoint between 8 and 18 is;
(8 + 18)/2 = 26/2 = 13
This means that the distance between 13 and either 8 or 18 will be 5.
Now, the absolute value equation will have to say that the distance between x and 13 is 5.
Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.
This gives us the absolute value equation: |x - 13| = 5
PLZ HELP ME!!! THIS IS DUE TOMORROW!!!
1. Find the equation of the line that goes through the point (0,-3) and is perpendicular to the line y= -2/5x+6.
2. Find the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (0,7) .
Answer:
1. y = (-5x/2) + -3
2. y = (3x/2) + 7
Step-by-step explanation:
For both these problems, we simply need to apply point-slope form.
1. The point (0, -3) and the slope that is perpendicular to the line is the reciprocal of the coefficient, slope = -5/2.
From here, we simply apply the formula:
y - y0 = m ( x - x0)
y - -3 = -5/2 ( x - 0 )
y + 3 = -5/2 x
y = (-5x / 2) + -3
2. The point (0, 7) and the slope that is parallel to the line must maintain the same slope. First, we need to rewrite the equation into slope-intercept:
-3x + 2y = 10
2y = 3x + 10
y = 3x/2 + 5
Now we want to apply the point-slope form
y - y0 = m ( x - x0 )
y - 7 = (3/2) (x - 0)
y - 7 = 3x / 2
y = 3x/2 + 7
Cheers.
Given R = (-3,2) and D = (3,-3) find RD
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{61} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let R ( -3 , 2 ) be ( x₁ , y₁ ) and D ( 3 , -3 ) be ( x₂ , y₂ )
Using distance formula
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - ( -3)) }^{2} + {( - 3 - 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 + 3)}^{2} + {( - 3 - 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {6}^{2} + {( - 5)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ 36 + 25 } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{61} }}[/tex] units
Hope I helped!
Best regards! :D
Regular airfare to Boston is $125 one way, but as a special discount, the fare was lowered to $105 one way. How much money will four people save altogether one way using the lower rate? A. $20 B. $40 C. $80
Answer:
C. $80
Step-by-step explanation:
To determine how much money will four people save altogether one way using the lower rate, you have to calculate the cost of buying four tickets with the regular airfare and the cost of buying four tickets with the special discount and then, find the difference:
Regular airfare=$125
125*4=$500
Airfare with discount=$105
$105*4=$420
$500-$420=$80
According to this, the answer is that four people will save $80 using the lower rate.
what were the limitation of debereiner's law of traid
Dobereiner could find only three triads; . i.e total of 9 elements only. However the total number of elements were more than that of those encompassed in Dobereiner's Triad. Thus, Dobereiner's could not be classify most of the elements known at that time
The local meteorologist claims that the temperature is going to steadily drop over the next 4 hours. If the temperature changes by the same amount each hour, and it changes by a total of -28F, how much will it change each hour? Explain how you got your anwser im 2 or more complete sentences.
Answer:
The answer was obtained by first taking the measurement for the temperature drop, the duration of the temperature drop, and the rate at which the temperature is dropping which are -28 F, 4 hours, and dropping at a steady rate.
The measured temperature drop of -28 F, is then divided by the duration of the drop which is 4 hours, to get the amount the temperature drop each our as -28F/4 = -7 F per hour
Step-by-step explanation:
The rate at which the local meteorologist claims that the temperature is going to drop = Steady rate
The duration over which the local meteorologist states that the temperature is going to drop = 4 hours
The amount by which the temperature is observed to drop = -28F
The rate at which the temperature is observed to drop = The same amount each hour
Therefore, the temperature drop per hour = -28F/4 = -7 F per hour
A print company will print business cards for $.10 each plus a setup charge of $12. Another print company offers business cards for $.12 each with a setup charge of $10. What number of business cards will cost the same amount from either printer?
Let the number of cards equal x.
Set up an equation for both companies, set equal to each other and solve for x.
0.10x + 12 = 0.12x + 10
Subtractb0.10x from both sides:
12 = 0.02x + 10
Subtract 10 from both sides:
2 = 0.02x
Divide both sides by 0.02:
X = 2/0.02
X = 100
100 cards would be the same price for both companies.
What's (-8)+(-5) Thanks for taking the time to help me!
Answer:
-13
Step-by-step explanation:
Answer:
-13 is your answer
when a negative and a positive are next to each other they equal and negative l. So your final equation would be -8-5
what is the square root of 165
Answer:
12.8 is the square root i think like u could simplify the square toot of 165 since it isnt a whole number
Step-by-step explanation:
sorry if its wrong
During a normal day, there are 280 planes taking off from the airport, but the airport is a lot busier during Christmas holiday, about 300 planes take off every day from the airport. During the Christmas holidays, the airport opens 10 hours during each day, how many planes take off from this airport in each hour?
Answer: Around 28 planes take off every hour
Step-by-step explanation: 336 / 12 = 28
Answer:
30 planes per hour
Step-by-step explanation:
Divide the number of plane takeoffs by the number of hours.
What is the quotient and remainder of 46÷5
Answer:
9, with a remainder of 1, OR 9.2
Step-by-step explanation:
Can somebody help? I can’t figure it out.
Find the value of x , and y .
Answer:
x = 38° , y = 104°
Step-by-step explanation:
2x = 76°
(opposite angles are equal)
76 ÷ 2 = 38°
360 - (76×2) = 208
208 ÷ 2 = 104°
I don't underestimate how to do this.
Hello! :)
Answer:
[tex]\huge\boxed{NP = 7}[/tex]
Given:
MP = 24
MN = 17
Write an expression to represent NP:
MP = MN + NP
24 = 17 + NP
Isolate NP:
24 - 17 = NP
NP = 7.
Answer:
7cm is the correct answer
Step-by-step explanation:
Hope this is helpful for you
what is the sum and product of x^2 - 5x + 6 = 0 pls helpp
Answer:
-6/2 is a product and it is 5/2 is the sum i think maybe reduced I am working on it too actually
If the dimensions of the box are L= 5cm W=2.5cm H= 2.5 cm, and a raisin is 0.6cm;
How many raisins could fit inside of the box
Answer:
52 raisins
Step-by-step explanation:
we have dimensions of the box
L = 5cm ; W = 2.5cm ; H = 2.5cm
V(raisin) = 0.6 cm³
V(box) = L×W×H
= 5cm×2.5cm×2.5cm
= 31.25 cm³
Vbox/Vraisin = 31.25cm³/0.6cm³ = 52.08(3) = 52 raisins
A spherical hot-air balloon has a diameter of 55 feet. When the balloon is inflated, the radius increases at a rate of 1.5 feet per minute. Approximately how long does it take to inflate the balloon to Two-thirds of its maximum volume? Use π = 3.14 and V = four-thirds pi r cubed.
Answer:
The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes
Step-by-step explanation:
The given parameters are;
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute
We have;
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon = 4/3 × 3.14 × 55³ = 696556.67 ft³
When the volume is two-thirds the maximum volume, we have;
2/3 × 696556.67 ft³ = 464371.11 ft³
The value of the radius, r₂ at that point is found as follows;
4/3·π·r₂³ = 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4 = 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the above length ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes
The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.
2 minus 6 divided by 6
Answer:
1
Step-by-step explanation:
2-6/6
You divide before subtraction
2-1
1
the amount of money, john earns for each shift he works at the bookstore is equal to the function f(h)=10 h, where h is the number of hours he works during his shift. Enter the value for f(h), the amount of money he earns for his shift, and the value for h, the number of hours how works during his shift, for each notation in order to complete the table and show the relationship between f(h) and h
with this information provided all we have to do now is substitute
[tex]f(1):\\h=1 \\f(h) = 10h\\f(1) = 10*1 = 10[/tex]
so, first row:
[tex]f(h)=10 \\ h=1[/tex]
we repeat the same process with the rest of the values
[tex]f(4.5)\\h=4.5\\f(h)=10h\\f(4.5)=10*4.5 = 45[/tex]
second row:
[tex]f(h)=45\\h=4.5[/tex]
repeat that once more
[tex]f(10)\\h=10\\f(h)=10h\\f(10)=10*10= 100[/tex]
third and final row:
[tex]f(h)=100\\h=10[/tex]
and we're done, hope this helps. <3
Is 9 a prime or composite number?
Answer:
Composite
Step-by-step explanation:
It can be divided by numbers other than 1 and itself. It can be divided by 1, 3, and 9.
Answer:
9 is composite number because it has more than 2 factors.
it's factors are 1,3,9 ....
hope its helpful to u if yes then brainlist me and mark as brainlist
What is the 45th term of the sequence generated by the formula (-1) 2n+1 ?
Answer:
−0.989010989010
Step-by-step explanation:
what is the 45th term of a sequence generated by the formula tn=(-1)^n * (2n/2n+1)?
When n= 45
tn=(-1)^n*(2n/2n+1)
tn = (-1)^45 * ( 2(45) / 2(45) + 1
= -1 * 90 / (90+1)
= -90 / 91
= −0.989010989010
The 45th term of the sequence generated by the formula tn=(-1)^n*(2n/2n+1) is −0.989010989010