Solution:
Note that:
Given expression: (-11x/2 + 3) - 2(11x/4 - 5/2)Simplifying the expression:
(-11x/2 + 3) - 2(11x/4 - 5/2)=> (-11x/2 + 3) + (-11x/2 + 5)=> -11x/2 + 3 - 11x/2 + 5=> -22x/2 + 8=> -11x + 8The simplified expression is -11x + 8.
[tex] \rm \: ( - \frac{11}{2} x + 3) - 2( \frac{11}{4} x - \frac{5}{2} )[/tex]
Distribute -2 through the parentheses
[tex] \rm \: ( - \frac{11}{2} x + 3) - \frac{11}{2} x + 5[/tex]
Remove the unnecessary parentheses
[tex] \rm \: - \frac{11}{2} x + 3 - \frac{11}{2} x + 5[/tex]
Calculate the difference
[tex] \rm \: - 11x + 3 + 5[/tex]
Calculate the sum
[tex] \boxed{ \mathfrak{ - 11x + 8}}[/tex]
Please help with this question !! Which methods will determine 60% of 56?
Choose all correct answers.
A. Determine 1% of 56, and multiply the result by 6.
B. Determine 1% of 56, and multiply the result by 60.
C. Determine 10% of 56, and multiply the result by 6.
D. Determine 10% of 56, and multiply the result by 60.
Answer:
A. Determine 1% of 56, both of them
Step-by-step explanation:
This is End behavior. I’m not sure how to do it. 50 Points
Answer:
The 2nd option
Step-by-step explanation:
As x approaches postive and negative infinity, y approches negavite infinity
what is f(g(x)) when f(x)=3x+1 and g(x)=4x^2-4
Answer:
f(x)=3x+1 = (-1/3, 0)
g(x)=4x^2-4 = (1, 0), (-1, 0)
Step-by-step explanation:
Hope this helped!
Answer:
f(g(x)) = 12x² - 11Step-by-step explanation:
Given:
f(x) = 3x + 1g(x) = 4x² - 4Find f(g(x)):
f(g(x)) = f(4x² - 4) = 3(4x² - 4) + 1 = 12x² - 12 + 1 = 12x² - 11Find the slope of this line
Answer:
the slope is undefined
Step-by-step explanation:
x=-2 is a horizontal line, if the line you're looking for is perpendicular to a straight line then its a vertical line, making the slope undefined
What the rate of change for f(t)=70(5/2)^t
help
The ATT Building (IE Batman Building) in Nashville is 614 feet tall. A model of 1 point
the building is 60 inches tall. What is the ratio of the height of the model to
the height of the actual ATT Building?*
Your answer
The ratio of the height of the model to the height of the actual ATT Building is 0.00814
Equation
An equation is an expression used to show the relationship between two or more variables and numbers.
12 inches = 1 ft.
Height of model = 60 inches = 60 inches * 1 ft per 12 in = 5 ft.
Height of ATT Building = 614 ft.
Ratio of the height of the model to the height of the actual ATT Building = 5 ft / 614 ft = 0.00814
The ratio of the height of the model to the height of the actual ATT Building is 0.00814
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You borrowed $95 for 1 year at 5.2% interest that is compounded semi annually. What will you pay back in full?
Answer:
$100.00
Step-by-step explanation:
Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.
The amount I have to pay back in full is approximately 100 dollars.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded semi-annually is,
A = P(1 + (r/2)/100)²ⁿ. (two semi-annuals in one year)
Therefore, A = 95(1 + (5.2/2)/100)²ˣ¹.
A = 95(1 + 0.026)².
A = 95(1.026)².
A = 95×1.052676.
A = $100 approximately.
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Please solve question 6 with steps i’m having so much trouble
If you still need help just respond, I'll type it out
The cost of Ms. Clark's restaurant meal is $25. 50. As a tip, Ms. Clark gives the waiter 20% of the meal's cost. What is the total amount Ms. Clark pays, including tip? $26. 01 $30. 60 $32. 64 $33. 5.
Percent is count of number per 100 numbers. The total amount Ms Clark pays including the tip is given by: Option B: $36.60
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
It is given that:
Cost of Ms. Clark's restaurant meal = $25.50Tip amount = 20% of cost of mealTotal cost that Ms Clark pays = Cost of meal + tip amount
Now, tip amount is 20% of $25.50
It is calculated as:
[tex]Tip = \dfrac{25.50}{100} \times 20 = 5.1\text{\:(In dollars)}[/tex]
Thus, tip amount = $5.1
And thus, Total cost that Ms Clark pays = $25.5 + $5.1 = $30.6
Thus,
The total amount Ms Clark pays including the tip is given by: Option B: $36.60
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To make a specific hair dye, a hair stylist uses a ratio of 1 oz of red tone, oz of gray
tone, andoz of brown tone.
1. If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
2. If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
Answer:
5.9 oz red tone,
1.7 oz gray tone,
2.9 OZ of brown tone
Maysoun drove 1116 kilometers in 12 hours. At the same rate, how long would it take her to drive 651 kilometers?
Answer:
7
Step-by-step explanation:
What is the positive solution to the equation 0 = 1/8 x2 - 8
Answer:
x=64
Step-by-step explanation:
0=1/8x-8
8=1/8x
8/1/8=1/8x/1/8
x=64
A 19 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground if 18 foot from the base of the building.
Answer:
The answer would be 342
Step-by-step explanation:
Multiply 19 by 18 and you get 342
Answer:
Square root of 37, about 6.08
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
18^2 + b^2 = 19^2
324 + b^2 = 361
b^2 = 37
b= sqrt37
b about equal to 6.08
PQRS is a Quadrilateral such that pq=8cm , QR = 4cm and SR=5cm If PQ and SR are Produced to meet at x such that Qx = 8cm. and RX=10cm Calculate Ps to a suitable degree of accuracy
Answer:
PS ≈ 6.08
Step-by-step explanation:
All of the side lengths are given except PS. It can be found using the Law of Cosines, twice.
The first use of the Law of Cosines will be to find the cosine of the angle at X.
QR² = QX² +RX² -2(QX)(RX)cos(X)
cos(X) = (QX² +RX² -QR²)/(2·QX·RX) = (8² +10² -4²)/(2·8·10) = 37/40
__
Now, the Law of Cosines can be used to find PS:
PS² = PX² +SX² -2(PX)(SX)cos(X)
PS² = 16² +15² -2(16)(15)(37/40) = 37
PS = √37 ≈ 6.083
The length of PS is about 6.08 units.
_____
As the attachment shows, the problem can also be solved using a geometry app to draw the figure and make the measurement.
In one week a shop buys 15 bottles of soy sauce at a price of Rp. 127,500. If on
the following week the shop owner ordered 24 bottles of soy sauce, how much money to pay
the shop owner?
In rectangle ABCD, the diagonals AC and BD intersect at E. If AE = 2x+4 and BD = 8x - 32, then the length of AC is
The length of the diagonal AC is equal to the length of the diagonal BD,
which is 8×10 - 32 = 48.
Response:
The length of AC is 48Which properties of a rectangle is used to find the length the diagonal AC?The given parameters are;
The diagonals of the rectangle are AC and BD
The point of intersection of the rectangle = Point E
AE = 2·x + 4
BD = 8·x - 32
Required:
The length of AC
Solution:
The diagonals of a rectangle bisect each other and have equal length.
Therefore;
AE = [tex]\mathbf{\frac{1}{2}}[/tex] × BD
Which gives;
[tex]2 \cdot x + 4 = \mathbf{\dfrac{1}{2} \times \left(8 \cdot x - 32\right)}[/tex]
2·x + 4 = 4·x - 16
4·x - 2·x = 4 + 16 = 20
2·x = 20
[tex]x = \dfrac{20}{2} = 10[/tex]
x = 10
AC = 2 × AE
Which gives;
AC = 2 × (2·x + 4) = 4·x + 8
The length of AC = 4 × 10 + 8 = 48
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Please help asap (30 points)
Money = (1/2×6×7+1/2*3.14*3.5^2)×5.60+150= $375.30
Angles A and B are complementary. If cos A = 7x − 9 and sin B = 4x + 15, what is the value of x?
Group of answer choices
47
21
8
2
The value of x according to the described angles is; 8
Complementary anglesIf two angles A and B are complementary, it follows that A + B = 90 and Cos A = Sin B.
From the statement above, it follows that;
4x + 15 = 7x -9Collect like terms;
15 +9 = 7x - 4x3x = 24Divide both sides by 3;
x = 24/3 = 8.
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Determine whether the following graph is a direct variation. Explain how you came to your conclusion. I know it's a directly proportional
but i dont know how to explain it
Graphs that represent direct variation are proportional functions
The graph represents a direct variation
How to determine the type of graphFrom the graph, we have the following ordered pairs
(x,y) = (0,0), (2,4) and (3,9)
Rewrite as:
(x,x^2) = (0,0^2), (2,2^2) and (3,3^2)
The above means that, the equation of the graph is:
[tex]y = x^2\\[/tex]
i.e. y varies directly to the square of x
Where the proportionality constant is 1
Hence, the graph represents a direct variation
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Warren bought cupcakes for his sister's birthday party. 40% of the 35 cupcakes had sprinkles on top. How many cupcakes had sprinkles?
Answer:
14 cupcakes
Step-by-step explanation:
40 percent of 35 is 14
Answer:
14 cupcakes had sprinkles.
Step-by-step explanation:
Write 40% as 40/100. Since finding the fraction of a number is the same as multiplying the fraction with the number, we have 40/100 of 35 = 40/100 × 35.
Please Expand This
2p(7p=7)
Answer:
[tex]2p(7p = 7) \\ 14 {p}^{2} = 14p \\ 14 {p}^{2} - 14p = 0[/tex]
stop and shop is having a sale on paper towels: 5 rolls for 3$. how much will 12rolls(s) cost?
Answer:
$7.20 for 12 rolls
Step-by-step explanation:
let x = the price of one roll
5x = $3
x = $3/5
12 • x = total cost
12 • $3/5 = total cost
$36/5 = total cost
$7.20 = total cost
Please Help Me !!!! Its A Math Question!! The path of a ball being thrown off a building can be modeled by the equation y= -16t^2+64t+80
How long does it take to get to its maximum height?
What is its maximum height?
How long does it take to hit the ground?
What is an appropriate domain and range for this function?
What does the 80 in the equation represent?
Answer: Also can i have brainliest?
The ball will hit the ground 5 seconds after being thrown.
Step-by-step explanation:
The correct function is: h(t)= -16t^2+64t+80
You can rewrite the Quadratic function given in the exercise with making h(t)=0. Then this is:
0= -16t^2+64t+80
Now you can simplify the equation dividing both sides by -16. So you get:
0= t^2-4t-5
To find the solution of the Quadratic equation, you can factor it. In order to do this, it is necessary to find two numbers whose sum is -4 and whose product is -5. These number would be -5 and 1.
Therefore, you get this result:
0= (t-5) (t+1)
t1=5
t2=-1
Since the time cannot be negative, you can conclude that the ball will hit the ground 5 seconds after being thrown.
For the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.
What is projectile motion?Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.
The path of a ball being thrown off a building can be modeled by the equation
[tex]y= -16t^2+64t+80[/tex]
Time taken to reach maximum height-Comparing this equation, with standard form of quadratic equation, we get, a=-16, b=64 and c=80.
Thus, the maximum height time can be given as,
[tex]t=-\dfrac{b}{2a}\\t=-\dfrac{64}{2(-16)}\\t=2\rm sec[/tex]
Thus, the time taken to reach maximum height is 2 seconds.
The maximum height-Again by the equation,
[tex]y= -16t^2+64t+80[/tex]
As it reaches maximum height after the 2 seconds. Therefore,
[tex]y_{max}= -16(2)^2+64(2)+80\\y_{max}= 144\rm[/tex]
Time, it take to hit the ground-This can be find out with the following formula,
[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\dfrac{-64\pm\sqrt{64^2-4(-16)(80)}}{2(-16)}\\t=\dfrac{-64\pm96}{-32}\\[/tex]
Taking negative sign,
[tex]t=\dfrac{-64-96}{-32}=5\\[/tex]
Taking positive sign,
[tex]t=\dfrac{-64+96}{-32}=-1\\[/tex]
Thus the time, it take to hit the ground is 5 units.
The 80 in the equation represent-80 is the constant coefficient of the equation, which represent the height in the feet.
Hence, for the path of a ball being thrown maximum height is 144 units, time taken to reach maximum height is 2 units and time, it take to hit the ground is 5 units.
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Who ever gets it right I will give Brainly and 20 points
Answer:
2 stars, 2 question marks, or two blank spaces
Step-by-step explanation:
What is the equation of a line parallel to:
PLEASE EXPLAIN. STEP BY STEP
Answer:
y= ⅗x +1
Step-by-step explanation:
Given line: y= ⅗x +4
Gradient= ⅗
The gradient of the line can be found from the coefficient of x. This applies only when the equation is in the slope-intercept form (y= mx +c).
In the slope-intercept form, the coefficient of y is 1 and all the other terms and constant is on the right-hand side of the equation while the y term is on the left-hand side.
Parallel lines have the same gradient. Thus the line parallel to y= ⅗x +4 would have the equation of y= ⅗x +c, where c is the y-intercept.
To find the value of c, substitute a pair of coordinates into the equation.
Given that the line passes through (-5, -2), we can substitute this coordinates into y= ⅗x +c.
When x= -5, y= -2,
-2= ⅗(-5) +c
-2= -3 +c
c= -2 +3
c= 1
Thus, the equation of the line is y= ⅗x +1.
Arrange the following in ascending order 1/5 2/3 4/15
Step-by-step explanation:
in ascending order;
4/15 ,1/5 ,2/3
Answer:
1/5 < 4/15 < 2/3
Step-by-step explanation:
First of all, we will take the LCM of the denominators. the LCM will be 15, so we will multiply the fraction by the number that will give 15 in the denominator
1/5= 1*3/5*3= 3/152/3= 2*5/3*5= 10/154/15= 4*1/15*1= 4/15Now the numerators are different but denominators are the same.
We can easily arrange these in ascending order.
1/5 < 4/15 < 2/3Need help with these two questions.
Answer:
Answer is below :)
Step-by-step explanation:
Hope this helps you!
Find the coordinates of point D in each diagram:
Answer:
Thank you for these points
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yeah thanks.
Have a great day!
3 and 0.75x = 10 and 0.25x what is x
Answer:
14
Step-by-step explanation:
with "and" you mean "+" ?
if so, then
3 + 0.75x = 10 + 0.25x
you know that it is perfectly OK to add or subtract the same number to/from both sides of the equation ?
the same for multiplication and division.
the important thing is to do always the same thing to both sides.
1. subtracting 3 from both sides
0.75x = 7 + 0.25x
2. subtracting 0.25x from both sides
0.5x = 7
3. dividing both sides by 0.5
x = 7/0.5 = 7 / 1/2 = 7 × 2/1 = 14
50 POINTS!!!!!What is the correlation of the data?
A. strong, positive
B. weak, negative
C. weak, positive
D. strong, negative
Answer:
D- Strong Negative
Step-by-step explanation:
The points have correlation because they form a line. The slope of the line is negative, so the correlation is strong negative. The points would be all over the place if the correlation was weak.
The correlation of the given data is Strong and negative.
What is the correlation of data?A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.
Given, points in a cartesian plane Where all points are on a Straight line that indicates the correlation is strong. Since,
To evaluate the degree of relationships between data variables, correlation coefficients are utilized. The most popular gauge of the strength and direction of a linear link between two variables is known as a Pearson correlation coefficient.
And the given line is decreasing from left to right indicating the slope of the given Data is negative. Thus the correlation of the given points is negative.
Due to the fact that the points form a line, they are correlated. The correlation is strongly negative because the line's slope is negative. If the link was poor, the points would be scattered all over the place.
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