Answer:
For this exercise, we need to add to the $200 the cost of the hours the DJ has been working
If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work: 12.5 * 8.5 = $106.25
Now, we can do the sum: 200 + 106.25 = $306.25
Grayson is 1.25 meters tall. At 12 noon, he measures the length of a tree's shadow to be 22.75 meters. He stands 17.6 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow . Find the height of the tree to the nearest hundredth of a meter.
Answer:
5.52m
Step-by-step explanation:
First, we can see that two similar triangles are formed. One similar triangle is the big triangle, with the base being 22.75m and the height being the tree's height. Another triangle is formed with Grayson's height as the height and the and the difference between where he is standing and the edge of the tree's shadow (the red outline in the picture) . We know that these are similar triangles because both the bases are parallel, as well as the heights and hypotenuses.
The base length for the triangle with Grayson as the height is 22.75-17.6 = 5.15 .
For similar triangles, we know that the ratios between sides are the same. For example, base₁/base₂ = height₁/height₂ . We can apply this here, making 5.15 base₁ and 1.25 height₁ (note that the same triangle's sides should be on top)
If we make the tree's height t, we thus have
5.15/22.75 = 1.25/t (height 2 is the tree's height
multiply both sides by t to remove one denominator
5.15 * t / 22.75 = 1.25
multiply both sides by 22.75 to remove the other denominator
5.15 * t = 1.25 * 22.75
= 28.4375
divide both sides by 5.15 to isolate the t
t = 5.52m
the first president of the usa
Answer:
George Washington.
Step-by-step explanation:
President Washington was elected President by a unanimous election of 69 voters in 1788, and served two terms. He set about creating a strong, well-funded national government that would maintain neutrality in Europe's raging wars, quell uprisings, and gain the approval of Americans of all types. His leadership style has established many forms and rituals of government that have been used, such as the use of a cabinet system and the swearing-in of oaths. Still, the peaceful transition from his presidency to the presidency of John Adams has created a tradition that continues into the 21st century. Washington was hailed as a patriarch, even during his lifetime.
What is the answer of the question?
Answer:
A. 2
Step-by-step explanation:
[tex] \int_0^1 \: 5x \sqrt x \: dx \\ \\ = \int_0^1 \: 5x . \: {x}^{ \frac{1}{2} } \: dx \\ \\ = 5\int_0^1 \: {x}^{ \frac{3}{2} } \: dx \\ \\ = 5 \bigg( \frac{ {x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1 } \bigg)_0^1\\ \\ = 5 \bigg( \frac{ {x}^{ \frac{5}{2} } }{ \frac{5}{2}} \bigg)_0^1 \\ \\ = 5 \times \frac{2}{5} \bigg({x}^{ \frac{5}{2} } \bigg)_0^1 \\ \\ = 2 \bigg( {1}^{ \frac{5}{2} } - {0}^{ \frac{5}{2} } \bigg) \\ \\ = 2(1 - 0) \\ \\ = 2[/tex]
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Use logarithmic differentiation to find the derivative of y.
y = x(x + 8) (x + 9)
Answer:
y'=3x^2+34x+72
Step-by-step explanation:
I see this has no answer and it might be too late.
It's asking us to find dy/dx, after taking log of both sides and apply any useful properties of log.
Take log of both sides:
log(y)=log[x(x+8)(x+9)]
Apply product rule of logarithms on right:
log(y)=log(x)+log(x+8)+log(x+9)
Now differentiate both sides:
y'/y=1/x+1/(x+8)+1/(x+9)
Multiply both sides by y:
y'=y(1/x+1/(x+8)+1/(x+9))
Replace y with x(x+8)(x+9) -> this is from the given equation:
y'=x(x+8)(x+9)(1/x+1/(x+8)+1/(x+9))
Distribute:
y'=(x+8)(x+9)+x(x+9)+x(x+8)
Multiply/distribute some more:
y'=x^2+17x+72+x^2+9x+x^2+8x
Combine like terms:
y'=3x^2+34x+72
please help me for 5 points
Answer:
275 adults
130 children
Step-by-step explanation:
Answer:
275 adults, 130 children
Step-by-step explanation:
Jessica is buying chicken wings and hamburger meat for a party. One bag of chicken wings costs $6. Hamburger meat costs $3 per pound. She must spend no more than $30. She also knows that she needs to buy at least 5 pounds of hamburger meat. Which system of inequalities can be used to determine the number of bags of chicken wings, x, and the number of pounds of hamburger meat, y, that Jessica should buy?(1 point)
Answer:
6x + 3y ≤ 30
y ≥ 5
Step-by-step explanation:
Let
x = number of bags of chicken wings
y = number of pounds of hamburger meat
Cost of one bag of chicken wings = $6
Cost of one pound of Hamburger meat = $3
She must spend no more than $30.
The inequality
6x + 3y ≤ 30
She also knows that she needs to buy at least 5 pounds of hamburger meat.
y ≥ 5
estimate the solution to the following system of equations by graphing.
3x+5y=14
6x-4y=9
A. ( 4/3,5/2)
B. ( 7/3, -7/2 )
C. ( -5/2, -7/2)
D. (5/2, 4/3)
Answer:
(101/42, 19/14)
Step-by-step explanation:
Given the following equations
3x+5y=14 ..... 1 * 2
6x-4y=9 ... 2 * 1
__________________
6x+10y=28
6x-4y=9
Subtract
10y+4y = 28 - 9
14y = 19
y = 19/14
Get the value of x
Since 3x+5y = 14
3x+5(19/14) = 14
3x + 95/14 = 14
3x = 14 - 95/14
3x = 101/14
42x = 101
x = 101/42
Hence the solution is (101/42, 19/14)
choose the equation that's the line that passes through the point (-2,-3) and has a slope of -6
Answer:
Y = -6X - 15
Step-by-step explanation:
-3 = -6(-2) + B
-3 = 12 + B
B= -15
Answer:
You didn't attach the options, but y = - 6x - 15
Step-by-step explanation:
Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:
-3 = - 6 * -2 + b
Then solve for b
-3 = 12 + b
-15 = b
Then you rewrite the original formula with the values of m and b:
y = - 6x - 15
PLEASE ANSWER CORRECTLY FOR BRAINLIEST:
25.
26.
27.
29.
Step-by-step explanation:
25.
[tex] \frac{t}{5} = b[/tex]
where b is the no. if 5 dollar bills.
26.
[tex]x +( x + 2) +( x + 4) = x + (x + 2)[/tex]
[tex]3x + 6 + 9 = 2x + 2[/tex]
[tex]3x + 15 = 2x + 2[/tex]
[tex]x + 15 = 2[/tex]
[tex]x = - 13[/tex]
Since x=-13 the intergers are
[tex] - 13[/tex]
[tex] - 11[/tex]
[tex] - 9[/tex]
27.
Represent the function as
[tex]x + x + 6 = 44[/tex]
[tex]2x + 6 = 44[/tex]
[tex]2x = 38[/tex]
[tex]x = 19[/tex]
The shorter piece should be 19 inches.
28.
Solve for h.
[tex]s = 2\pi \times rh + 2\pi {r}^{2} [/tex]
[tex]s - 2\pi {r}^{2} = 2\pi \times rh[/tex]
[tex] \frac{s - 2\pi {r}^{2} }{2\pi \times r} = h[/tex]
29.
[tex] \frac{16 + x}{2} \times 6 = 108[/tex]
[tex] \frac{16 + x}{2} = 18[/tex]
[tex]16 + x = 36[/tex]
[tex]x = 20[/tex]
Zachary's art club ordered a giant sub sandwich for a party. It was 6 feet long! When the sandwich arrived, Zachary cut it into 16 equal pieces.
How long was each piece?
Write your answer as a proper fraction or mixed number.
Answer:
3/8 feet long
Step-by-step explanation:
Find how long each piece was by dividing 6 by 16:
6/16
Simplify this by dividing each number by 2:
6/16
= 3/8
So, each piece was 3/8 feet long
If a set of scores for a variable is displayed in a frequency distribution polygon, which scale of measurement was used to measure the variable
Given: The set of scores for a variable is displayed in a frequency distribution polygon.
To find: We need to find which scale of measurement was used to measure the variable
Solution: A frequency distribution table is always either in interval or in ration scale.
shaun baharat and jagan play hockey , shaun has scored 9 more goals that jagan baharat has scored 6 more goals than shaun , all together they have scored 69 goals , how many did they each score
Let x be the number of goals that Jagan scored, then Shaun scored x + 9 goals and Baharat scored x + 9 + 6 = x + 15 goals.
What in mathematics is a linear equation?
According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
We know that the total number of goals is the sum of the goals each player scored, which is x + (x + 9) + (x + 15) = 69
We can express this as 3x + 33 = 69
Then we can subtract 33 from both sides to get 3x = 36
Then we divide both sides by 3 to get x = 12
Then we can substitute the value of x back to find the number of goals each player scored:
Jagan: x = 12
Shaun: x + 9 = 12 + 9 = 21
Baharat: x + 15 = 12 + 15 = 27
So Jagan scored 12 goals, Shaun scored 21 goals and Baharat scored 27 goals.
Learn more about linear equation
https://brainly.com/question/2030026
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In the coordinate plane, two vertices of square ABCD are A (0, 0) and B (0, m). What are the coordinates of points C and D? Do not introduce any new variables.
Answer:
The coordinate of point C is (m,m) and the coordinate of point D is (m,0).
Step-by-step explanation:
Square:
In a square, all sides have the same length.
A (0, 0) and B (0, m).
This means that the length of the sides is m.
So:
From A, adding m vertically, we get point (0,m), which is B.
From A, adding m horizontally, we get point (m,0), which I will call D.
From B, adding m horizontally, we get point (m,m), which I will call C.
The coordinate of point C is (m,m) and the coordinate of point D is (m,0).
A researcher is curious about the average IQ of registered voters in the state of Florida. The entire group of registered voters in Florida is an example of a ______.
Answer:
Population
Step-by-step explanation:
A population can be defined as the total number of living organisms living together in a particular place and sharing certain characteristics in common.
A sample survey is a statistical method used for the collection of data from a target population in order to draw an inference and reach a logical conclusion.
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
In this scenario, the entire group of registered voters in Florida is an example of a population.
solve for x. Round to the nearest tenth, if necessary.
Answer:
25.1
Step-by-step explanation:
Sin=opposite/hypotenuse
Sinx=4.2/9.9
x=arcsin(4.2/9.9)
x=25.1 degrees rounded from 25.102
At a certain store, a CD costs $12. If the cost of CDs were graphed as the output, compared to the number of
CDs purchased as input, which of the following would not be true of the graph?
A. The set of points would all lie on the same line.
B. The set of points would include the origin.
C. The set of points would rise from left to right.
D. The set of points would not graph a function.
Please select the best answer from the choices provided
A
B
C
D
Write an equation in point-slope form of the line through point J(-1, 10) with slope -7.
Answer:
y - 10 = -7 (x + 1)
Step-by-step explanation:
pont = (-1,10) slope = -7
y - 10 = -7 (x + 1)
I NEED THE ANSWER ASAP PLZ ;C
The top right quadrant is quadrant 1.
The top left quadrant is quadrant 2.
The bottom left quadrant is quadrant 3.
The bottom right quadrant is quadrant 4.
Therefore, point D is in the fourth quadrant.
If 2x+4=8, what is 9x?
Answer:
hope it will be helpful to you
Answer:
..have a great day ahahahahah
Sam made $147 for 7 hours of work at the same rate how much would he make for 9 hours of work
What is the number of outcomes in the sample space tossing a coin and spinning a spinner with 8 equal sections?
Answer:
16
Step-by-step explanation:
Michael modeled from play dough a 15cm high pyramid with a rectangular base with dimensions of a = 12 cm and b = 8 cm. Jane remodeled Michael’s pyramid into a come with a base diameter of d = 10cm, what was the height of Jane’s cone?
Answer: 251.2 cm3
Step-by-step explanation:
10x3.14x 8 = 251.2
A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to cover a total of 24 kilometers
Answer:
8 trips
Step-by-step explanation:
You can solve this by unitary method.
15 kilometers in 5 trips means 1 trip consist of 3 kilometers
Therefore, 24/3 = 8
So the required answer is 8 trips.
Thank you!!
A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the return trip to Los Angeles took 13 hours, what was the plane's average airspeed?
Answer: [tex]589.33\ mph[/tex]
Step-by-step explanation:
Given
Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.
Wind from west is 80 mph
Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.
Suppose the speed of plane is
[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]
Suppose the distance is x
[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]
Average speed is
[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]
Answer:
The speed of plane is 600 mph.
Step-by-step explanation:
Let the distance is d.
Speed of wind , u = 80 mph
Time, t = 17 hours
time, t'= 13 hours
Let the speed of airplane is v.
distance = speed x time
d = (v + u) x 13= (v - u) x 17
(v + 80) x 13 = (v - 80) x 17
13 v + 1040 = 17 v - 1360
4 v = 2400
v = 600 mph
Solve for X.
-8(1 - 4x) = -104
Please show work
Answer:
-3
Step-by-step explanation:
-8(1-4x)=-104
1-4x=-104/-8
1-4x=13
4x=1-13
4x=-12
x=-12/4
x=-3
Can someone please be generous & help I’ve been struggling all night
Answer:
Slope-intercept
y = 3/4(x) - 7
Point slope
y -5= 3/4(x - 16)
Step-by-step explanation:
In slope-intercept
We have the general slope intercept as;
y = mx + b
where m is the slope and b is the y-intercept
in this case, m = 3/4 and b = -7
So we have;
y = 3/4(x) - 7
In point-slope
we have the general form as;
y-y1 = m(x-x1)
So what we have is as follows;
y -5= 3/4(x - 16)
Where we have (x1,y1) = (16,5)
Help me please guys if you don’t mind
Answer:
[tex]5 {x}^{2} - 11x + 6 \\ 5 {x}^{2} - (5 + 6)x + 6 \\ 5 {x}^{2} - 5x + 6x + 6 \\ 5x(x - 1) - 6(x - 1) \\ (5x - 6)(x - 1)[/tex]
HELP ASAP 10 POINTS AND BRAINLIST AND 5 STAR AND THANKS BUT IF CORRECT
Step-by-step explanation:
hope it helps you..........
Answer:
[tex](\frac{2}{5} )^{3}[/tex] = [tex]\frac{8}{125}[/tex] [tex]cm^{3}[/tex]
Step-by-step explanation:
What is the value of -97-7 when /= 2?
-25
-18
11
45
Step-by-step explanation:
there must be something wrong or missing in your problem description.
what I can read here :
-97 - 7 when divided by 2
-97 - 7 = -104
this divided by 2 is -52.
but there is no such answer.
so, the provided answers and the problem description do not fit to each other.
Which phase best describes the transition from the graph y=2x^2 to the graph of y2x^2+5?
A. 5 units up
B. 5 units down
C. 5 units right
D. 5 units left?
Answer:
Anything after x determines if it goes up since it's a positive 5 it's 5 units up