The width of the arch at its base can be found by setting ƒ(x) = 0 and solving for x. This gives x=12 feet.
What is horizontal distance?Horizontal distance is the length of a straight line between two points, measured only in the horizontal direction. It is typically measured in units such as kilometres, meters, miles, or yards.
No, the box truck will not fit under the arch. The height of the arch at a horizontal distance of 8 feet is ƒ(8) = -0. 5(8)2 + 6(8) = 4 feet, which is less than the height of the truck (13. 5 feet).
The maximum height a truck that is 8 feet wide and is passing under the bridge can be is ƒ(8) = 4 feet.
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Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. X = 5 sqrt( y) text(, ) x = 0 text(, ) y = 4 Find the volume V of this solid. V
Answer:
V = 200 π
Step-by-step explanation:
x = 5√y , x = 0 , y = 4
Determine the volume of the solid V
when x = 0 y = 0
we can calculate the volume of the solid by applying the washer method
V = π ₀⁴∫ [ 0 + ( 5√y )^2 ] dy
= π ₀⁴∫ [ 0 + ( 25(y) ) ] dy
V = π [ 0 + 25/2 ( y^2 ) ] ⁴₀
V = π [ 25/2 ( 16 ) ]
= 200 π
betsy correctly answered 19 of 25 trivia questions. What percent of the questions did she answer correctly?
1.14 is the answer just do 19%=1.14
Write an algebraic expression that represents five less than the product of a number and six
Answer:
6n-5
Step-by-step explanation:
let 'n' equal 'a number'
the equation above means you are multiplying 6 and that number, then reducing it by 5
How do you solve this? 11t-t^2=30
Answer:
t = 5, 6
Step-by-step explanation:
Given the equation:
[tex]\displaystyle{11t-t^2=30}[/tex]
First, arrange the expression in the standard quadratic form ax² + bx + c = 0
[tex]\displaystyle{t^2-11t+30=0}[/tex]
Then factor the expression, find two numbers that add up which result in -11 and multiply which result in 30 - that two numbers are -6 and -5
[tex]\displaystyle{(t-6)(t-5)=0}[/tex]
Solve like a linear equation
[tex]\displaystyle{t=5,6}[/tex]
Therefore, the solutions to the equation are t = 5, 6
Answer:
The solution set is {5, 6}.
Step-by-step explanation:
11t-t^2=30
t^2 - 11t + 30 = 0
(t - 5)(t - 6) = 0
t = 5, 6.
PLEASE HURRY!!!
Lorena and Karla are creating an art project in the shape of a right triangle. They have a 92 cm-long piece of wood, which is to be used for the hypotenuse. The two legs of the triangular support are of equal length. Approximately how many more centimeters of wood do they need to complete the support?
A. 65.1 cm
B. 130.1 cm
C. 260.2
D. 125.7
Approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.
What is right triangle ?Right triangle is a triangle in which one angle is of [tex]90^0[/tex] .
We have,
Hypotenuse [tex]=92[/tex] cm
Let,
Perpendicular [tex]= x[/tex] cm
Base [tex]=x[/tex] cm
So,
Using the Pythagoras theorem,
[tex]H^2=P^2+B^2[/tex]
So,
[tex]92^2=x^2+x^2[/tex]
[tex]92^2=2x^2[/tex]
⇒
[tex]2x^2 = 8464[/tex]
[tex]x^2 = 4232[/tex]
⇒[tex]x=65.05[/tex]
So,
Perpendicular [tex]= 65.05[/tex] cm
Base [tex]=65.05[/tex] cm
So,
The required wood to complete support [tex]=65.05+65.05=130.1[/tex] cm
Hence, we can say that approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.
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Olivia owns a pastry shop, and needs to fill an order for 700 cupcakes
She already has 15 cupcakes made, and she can make 137 cupcakes
hour. How many hours does Olivia need to fill the order?
Olivia needs
more hours.
Answer:
5 hours
Step-by-step explanation:
Olivia needs to make 700 - 15 = <<700-15=685>>685 cupcakes.
So she needs to work for 685 / 137 = <<685/137=5>>5 hours
a new health drink has 150% of the recommended daily allowance. there is a certain vitamin this vitamin is 40 mg. How many milligrams of the vitamin are in a drink?
The numbers of milligrams of the vitamin that are in a drink is 60 milligrams.
What is the vitamin about?The recommended daily allowance (RDA) for the vitamin is 40 mg. A new health drink has 150% of the RDA.
To find out how many milligrams of the vitamin are in a drink, you can use the following formula:
(RDA) x (percentage/100) = milligrams in a drink
So,
(40mg) x (150/100)
= 60mg
Therefore, there are 60 milligrams of the vitamin in a drink.
Note that the RDA of vitamins can vary depending on age, gender, and other factors, so always consult a doctor or nutritionist before starting to consume any new supplement.
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write an equation in pint-slope form, slope-intercept, and standard form
Slope: -5 (-3,-7)
(-6,10), (-4,18)
(-4,9), (1,14)
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
to get the equation of any straight line, we simply need two points off of it, let's use (-6,10), (-4,18)
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{10}}}{\underset{\textit{\large run}} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{8}{-4 +6} \implies \cfrac{ 8 }{ 2 } \implies 4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-6)}) \implies {\large \begin{array}{llll} y -10 = 4 ( x +6) \end{array}} \\\\\\ y-10=4x+24\implies -4x+y=34\implies \stackrel{standard~form}{{\Large \begin{array}{llll} 4x-y=-34 \end{array}}}[/tex]
Prove that:
(1 + Tan²A) Cos²A = 1
Step-by-step explanation:
=(1+ sin^2 A/cos^2 A).cos^2 A
=[(cos^2 a+sin^2 a)/cos^2 a].cos^2 A
=[1/cos^2 a] . cos^2 a
=1
Solve the proportion below. 7/x = 19/114 x=____
A. 8
B. 4
C. 28
D. 24
2) A circle with a center
of (-2, 2) has a radius of 10.
Is the point (7, 7) on the circle?
Answer: (x−7)2+y2=100. Explanation: the standard form of the equation of a circle is.
Step-by-step explanation:
hi, I need mo ney for food anything helps its been such a struggle since co vid hit.
Answer:
get a job....
The diagram shows an isosceles triangle. All the measurements are in cm, work out the perimeter of the triangle.
I’ll give brainlist to correct answer. No links or report
Answer:
The slope is 7!
Step-by-step explanation:
Answer:
The slope is 7
Step-by-step explanation:
Use the distributive property to distribute 7 to x and -7. 7(x-7) is the same as 7(x)+7(-7) which is 7x-49. Therefore, the equation will be y+4=7x-49. We want to isolate y so we have to subtract 4 from both sides. y=7x-53. The number with the x is the slope. Therefore, the slope is 7.
If this helps please mark as brainliest
It take Thorton 4 hour to edit a video for hi chool. If he ha already pent 2. 5 hour on thi video, what percent of the video i edited?
Using the concept of fraction, the percentage edited on the video is 62.5 percent.
What is Percentage
Percentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.
In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;
percentage edited = (2.5 / 4) × 100
Percentage = 0.625 × 100
Percentage = 62.5 %
From the above, Thorton has edited 62,5 percent of the video for his school project.
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A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity?
Answer:
it is actually -5 because -1.5/0.3=-5
Step-by-step explanation:
65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in a) Swimming and cycling b) Cycling only c) Neither swimming nor visiting national parks nor cycling
Answer:
a)=57
b)=26
C)= 35
Step-by-step explanation:
there is 100 people recorded when they only wanted 65 so the 35 extra answers are not recorded.
jonn has a total of 50 coins in her purse The are either nickles or quarters The value of the ccoins is $7.10 Which system of equations can be used to determine the number of nickles ,n and quarters ,q, that jonna has in her purse .
Answer:
n + q = 50
.05n + .25q = 7.10
Step-by-step explanation:
total of 50 coins .... are either nickles or quarters
n + q = 50
value of the coins is $7.10
The value of each coin times the quantity is the value
.05n + .25q = 7.10
Which equation is represented by the number line?
Answer:
Equation 1: 6 + (-10) = -4
Step-by-step explanation:
1st segment starts at 0 and goes 6 units right so: +6
Second segment starts at 6 and goes 10 units left, so: -10
Finally the second segment lands on -4, so all together:
+6 + (-10) = -4 or 6 + (-10) = -4
Hope this helps!
3. Which of the following numbers is divided by 5?
a) 1234 b) 3457 c) 4750 d) 3478
Answer:
c) 4750
Step-by-step explanation:
Take a calculator and divide it or long division. You get 950.
Answer:
c) 4750
Step-by-step explanation:
c) 4750 is the answer of your question .
hope it is helpful to you
Write the ratio of the first measurement to the second measurement. Compare in inches.
Answer:
when the ratio of the first measurment is already there, get the pot, put it in place and chec the correct ratio, the slope should help the gaurdian. so in that case, the answer is 75inch
You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
You earn $
for washing 4 cars.
What is the domain of the function f/x )= log?
The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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The domain of the given function would be x > 0.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
The function f(x) = log is the natural logarithm function, also known as ln(x). The domain of this function is the set of all positive real numbers x such that x > 0, because the natural logarithm of a non-positive number is undefined.
Hence, the domain of the given function would be x > 0.
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Question 15 of 27
What are the zeros and x-intercepts of this quadratic function?
-5
A. Zeros: -2 and 1
5
-5
Select two answers: one for the zeros and one for the x-intercepts.
5
B. Zeros: -1 and 2
C. x-Intercepts: (-1,0) and (2,0)
D. x-Intercepts: (0, -1) and (0, 2)
E. Zeros: 1 and 2
OF. x-Intercepts: (-2, 0) and (1, 0)
Correct options are: A. Zeros: -2 and 1
E. x-Intercepts: (-2, 0) and (1, 0)
What are zeros & x-intercepts of quadratic function?
The zero of the function is where the y-value is zero.
The x-intercept is where the graph crosses the x-axis.
The zeros of a quadratic function are the values of x for which the function equals zero. In other words, they are the solutions to the equation f(x) = 0. For the given quadratic function, the zeros
are -2 and 1.
The x-intercepts of a function are the points at which the function crosses the x-axis. In other words, they are the solutions to the equation f(x) = 0 when y = 0. For the given function, the x-intercepts are (-2, 0) and (1, 0) which are the points on the x-axis where the function crosses it.
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This dot plot is not symmetric, and the data set has three extreme values.
Which of these measures is the best measure of variability for the dot plot? A. Interquartile range (IQR) B. Mean C. Median O D. Mean absolute deviation (MAD)
Answer:interquartile range IQR
Step-by-step explanation:ApE x
Answer:
ANSWER IS IQR
Step-by-step explanation:
DID THE TEST
What is the discriminant of the quadratic equation 2x 5x^2 1?
The discriminant of the quadratic equation 2x + 5x² = 1 is 24.
The discriminant of a quadratic equation is the value calculated from the coefficients of the quadratic equation and it gives information about the nature of the roots of the equation. The discriminant can be used to determine the number and type of solutions/roots of the equation.
-If the discriminant is greater than zero, the equation has two distinct, real solutions (or roots).
-If the discriminant is equal to zero, the equation has one real solution (or root).
-If the discriminant is less than zero, the equation has no real solutions (or roots), only complex solutions.
The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.
Plug in the values and solve for the discriminant of the quadratic equation 2x + 5x² = 1.
b² - 4ac = (2)² - 4(5)(-1) = 24
Hence, the discriminant is 24.
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10. Jim estimates the width of his wall to be 7.5 feet. The actual wall measures 8.25 feet wide. What is
Jim's percent error?
Answer:
Below
Step-by-step explanation:
Error : (8.25 - 7.5)
% error : ( 8.25-7.5) / 8.25 * 100% = 9.1 %
Jim's percent error is 9.09%.
What is the percentage error?
The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.
The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.
Estimated width of wall = 7.5 feet
The actual width of the wall = 8.25 feet
The difference in estimate = (8.25 - 7.5) = 0.75 feet
Percentage Error = (0.75/8.25 x 100) = 9.09%
Thus, we can conclude that Jim made a percentage error of 9.09% in his estimate of the width of the wall.
Find the percent of change. Round to the nearest tenth, if necessary.
During the winter, the grill was marked at $85. In June, the price was changed to $110. 50.
PLEASE THIS IS URGENT
During the winter, the grill was marked at $85. In June, the price was changed to $110. 50. So, 23.08% is the change in percentage.
What is percentage?When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.
Comparing two amounts while re basing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.
Given that,
the grill was marked at $85
the price was changed to $110. 50.
Now, percentage change:
= [{(110. 50 - 85)/110.50} × 100]
= (0.2308 × 100)
= 23.08%
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One of the roots of the equation x^2-5x+q=0 is 2. Find the other root and the value of the coefficient q.
The value of q in the given equation x²- 5x + q = 0 will be 4.
What is a polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
given an equation x²- 5x + q = 0 and the question states that it has a root that is equal to 2
Since 2 is the root of this quadratic equation it will satisfy the equation
Substituting the values in the equation
4 - 5*2 + q = 0
q = 6
Equation will be
x²- 5x + 6 = 0
The root of the given equation using the fraction method
x²- 3x - 2x + 6= 0
(x -2)(x - 3) = 0
The root of the given equation are 2 and 3
Therefore, In the given equation x²- 5x + q = 0 the value of q will be 4.
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Blue's Berry Farm charges Percy a total of $24.75 for entrance and 2.5 kilograms of strawberries. The entrance fee is $6, and the price for each kilogram of strawberries is constant.
Answer:
$7.50 if the question is how much in a kilogram of strawberries you did not specify.
Step-by-step explanation:
24.75-6=2.5*x
18.75=2.5*x
7.5=x
Answer:
7.5 for 1 kg of strawberries
Step-by-step explanation:
I'm not sure what to solve, but I assumed that you wanted to know the unit price.