Answer:
Step-by-step explanation:
Let X be par.
Jenny made x-1 strokes
Jérôme made x+4 strokes.
So, we can use the amount of strokes made, but we have to use absolute value brackets ( | | )
|-1| + |4| = 5.
Jérôme made 5 more strokes than Jenny
what is the standard form for this equation
(x+2) (x+15)
Answer:
x^2 + 17x + 30
Step-by-step explanation:
Just multiply the components from first bracket to components of second bracket, then add like terms and rearrange to write numbers from highest exponents to lowest.
#A crane is lowering a concrete block from a height of 240 feet above the ground at a constant rate of 4.8 feet per second.
Which function can be used to determine h, the height, in feet, above the ground of the concrete block after s seconds?
1 h = 4.8 - 240s
2 h = 240 -4.8s
3 h = 240 + 4.8s
4 h = 240s + 4.8
Answer:
2
Step-by-step explanation:
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8
a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________
Answer:
(a) (3, 0) and (-8, 0)
(b) (-2.5, 0)
(c) x = -2.5
(d) f(-2.5) = -30.25
Step-by-step explanation:
Given quadratic function:
[tex]f(x)=(x-3)(x+8)[/tex]
Part (a)The x-intercepts are when [tex]f(x)=0[/tex]
[tex]\implies f(x)=0[/tex]
[tex]\implies (x-3)(x+8)=0[/tex]
[tex]\implies (x-3)=0 \implies x=3[/tex]
[tex]\implies (x+8)=0 \implies x=-8[/tex]
Therefore, the x-intercepts are (3, 0) and (-8, 0)
Part (b)Midpoint between two points:
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad[/tex]
[tex]\textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
[tex]\implies \textsf{Midpoint of the x-intercepts}=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-2.5},0\right)[/tex]
Part (c)The extreme point of a quadratic function in the form [tex]f(x)=ax^2+bx+c[/tex] is:
[tex]x=-\dfrac{b}{2a}[/tex]
Therefore, expand the function so that it is in standard form:
[tex]\implies f(x)=x^2+5x-24[/tex]
[tex]\implies a=1, b=5[/tex]
Therefore, the extreme value is:
[tex]\implies x=-\dfrac{5}{2}=-2.5[/tex]
Alternative method
A quadratic function has an extreme value at its vertex.
The x-value of the vertex is the midpoint of the x-intercepts.
Therefore, the extreme value is x = -2.5
Part (d)[tex]\begin{aligned}\implies f(-2.5) & =(-2.5-3)(-2.5+8)\\& = (-5.5)(5.5)\\& = -30.25\end{aligned}[/tex]
Does anyone loves math TvT
The solution to all parts are given below:
What is experiment?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
1. The experiment is to spin the wheel and get the number and related to that number reward will be there.
2. The outcomes will be,
{1, 2, 3, 4, 5, 6, 7, 8}
3. Sample space
{1, 2, 3, 4, 5, 6, 7, 8}
4. Event of red with even number
= 2 , 6
5. Event of red with odd number
= 3,7
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A shop sells apples and oranges in the ratio 5:2.
It sells apples for 30p and oranges for 40p.
If the shop sells 35 pieces of fruit altogether, how much money does the shop receive? Give your answer in
pounds and pence.
Total money does the shop receive is 0.12 Pound
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
According to the question
A shop sells apples and oranges in the ratio 5:2
Let constant multiple of the ratio as a
Now,
Apples = 5a
Oranges = 2a
Total pieces of fruit sell = 35
i.e
5a + 2a = 35
7a = 35
a = 5
Therefore,
Apples = 5*5 = 25
Oranges = 2*5 = 10
Now ,
Shop sells apples at = 30p
Shop sells oranges at = 40p
Total money the shop receive = 30 * 25 + 40 * 10
= 1150 p
Paisa to Indian rupee : 100p = ₹1
= ₹11.50
Now, Indian rupee to pounds :
1 Indian Rupee equals 0.011 Pound (according to current market value)
₹11.50 is equal to 0.12 Pound
Hence, Total money does the shop receive is 0.12 Pound .
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Find the equation of an ellipse satisfying the given conditions
If the value of a and e is 5 and 4, then the value of b is 3. Then the equation of the ellipse will be given below.
[tex]\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]
What is an ellipse?Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
The vertices (±5,0) and foci (±4,0) are given. Then the equation of the ellipse will be
We know that the general equation of the ellipse will be
[tex]\rm \dfrac{x^2 }{a^2} +\dfrac{y^2}{b^2} = 1[/tex]
Then the value of a will be
a = 5
And the value of the eccentricity will be
e = 4/5
Then the value of the b will be
[tex]\rm b^2 = a^2 - a^2e^2\\\\b^2 = 5^2 - 5^2 \times \dfrac{4^2}{5^2}\\\\b^2 = 25 - 16\\\\b \ = 3\\[/tex]
Then the equation will be
[tex]\rm \dfrac{x^2 }{5^2} +\dfrac{y^2}{3^2} = 1\\\\\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]
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15 POINTS, please complete this problem and explain to me how you did it lol, there's so many of these in my homework and I'm in desperate need of help
Answer:
5
Step-by-step explanation:
you have to do a^2+b^2=c^2, so a you don't know so skip that then for the b u would put 12^2 wich is 144 then you know the c witch us 13^2 wich is 169. then solve the equation which would give you a answer of 5
work out 85cents as a percentage of $2.03
Answer:
85 as aparcentege
85/100
0.85%
The dot plots show the number of minutes that Julia and Hannah practiced each day for their piano recital. Compare the dot plots. Move the correct names to the blanks to complete each sentence. You may use a name more than once.
Julia has the greater median
Julia also has the greater mean.
Averagely, Julia practiced for a greater amount of time each day.
What is the Mean and Median of a Data Set?Mean = sum of data points / number of data points.
Median = center/middle of the data distribution.
Mean for Julia = (20 + 20 + 30 + 60 + 60 + 60 + 70 + 70 + 100 + 100 + 100 + 115 + 115 + 115)/14 = 69.6
Mean for Hannah = (20 + 20 + 30 + 30 + 45 + 45 + 45 + 70 + 70 + 70 + 75 + 90 + 90 + 120)/14 = 58.6
Median for Julia = 70
Median for Hannah = (45 + 70)/2 = 57.5
Julia has the greater median and also has the greater mean.
Averagely, we can conclude that Julia practiced for a greater amount of time each day.
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70°
13
४
c=
12.2
x
A
Answer:
sin70=13/x
[tex] \sin(70) \times x = 13[/tex]
[tex]x = 13 \times \sin(70) [/tex]
[tex] x = 13 \div 0.9397[/tex]
13.8
A cylinder has a volume of 216π cubic feet and a height of 18 feet. what is the area of the base? cylinder v = bh 1. substitute the known measures into the formula: 216π = b(18) 2. apply the division property of equality: 216π 18 = b 18 18 the base has an area of pi feet squared.
The cylinder is a three-dimensional shape, and the base area of the cylinder is 12π square feet
How to determine the base area?The given parameters are:
Volume = 216π cubic feetHeight = 18 feet.The volume of a cylinder is calculated using:
Volume = Base area * Height
So, we have:
216π = Base area * 18
Divide both sides by 18
Base area = 12π
Hence, the base area of the cylinder is 12π square feet
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Answer:
12
Step-by-step explanation:
This table shows the ticket price for each person to visit a zoo in winter.
adult = £18
child (3-17) = £14
child ( under 3) = free
A family of two adults, one child aged 8 and one child aged 1 visit the zoo in winter.
In summer, the zoo increases the prices.
An Adult ticket increases by 20%.
A Child ticket increases by 15%.
How much more does it cost the family to visit in the summer than in the winter?
Answer: £9.3 more
Step-by-step explanation:
Price for winter tickets: £18 + £18 + £14 = £50
Summer tickets pricing:
£18 + 20% = £21.6
£14 + 15% = £16.1
Price for summer tickets: £21.6 + £21.6 + £16.1 = £59.3
Subtract winter tickets from summer tickets for difference:
£59.3 - £50 = £9.3
Which statement about the hyperbola is true? the point (3.6, 0) is the directrix. the point (−3.6, 0) is the center. the point (2, 0) is a focus. the point (−2, 0) is a vertex.
The statement about the hyperbola is true is D. the point (−2, 0) is a vertex.
What is a hyperbola?It should be noted that a hyperbola simply means an open curve that has two branches and usually symmetric.
In this case, the statement about the hyperbola is true is that the point (−2, 0) is a vertex.
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Use a table to find (−3+2j)(4j−7).
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (−3+2j)(4j−7) is 8j²-26j+21.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (−3+2j)(4j−7) can be expression is,
(−3+2j)(4j−7)
= -12j + 21 + 8j² -14j
= 8j² -26j +21
Hence, the value of the expression (−3+2j)(4j−7) is 8j²-26j+21.
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what is the inverse of the function
a
b
c
d
A cone with a volume of 1152 pi m^3 has a radius of 12 m. Which of these statements is correct?
Answer:
The answer is b (the second option)
Step-by-step explanation:
The cost of a calculus textbook is $185.67 after a 6.75% sales tax is applied. What was the cost of the textbook before the tax was added?
Answer:
the cost of the textbook was $173.14 before the tax was added
Step-by-step explanation:
6.75% of $185.67 is 0.0675 x $185.67 = $12.53
$12.53 is 6.75% of $185.67
sine $185.67 is the total AFTER we subtract the amount
$185.67 - $12.53 = $173.14
Write the counts for the rhythms shown below:
Answer:
1, 2 +, 3 | 1, +, + | 1 +, 2 +, +
1, 2, 3, 4 | 2, 3, 5, 6 | 1, 3, 4, 5, 6
Step-by-step explanation:
Question
The following sphere has a diameter of 18 cm.
Answer: A
Step-by-step explanation:
Please help me with my measurement 2 last questions.
Edit : please read 8 carefully.
The different units of measurement (millimeters, centimeters, meters and kilometers) are used to measure from very short distances such as the amount of a medicine in a syringe to long distances between cities.
What are units of measure?Measurement units are a series of references that are used to measure different elements and factors. Specifically, the units of measure for distance measure the distance between two points.
However, not all units of measure work for all situations, for example:
Millimeters are a unit of measurement for very short distances such as millimeters of medication in a syringe.Centimeters are a unit of measurement for average distances such as the height of a person or the size of some objects.Meters are a unit of measurement for large distances such as the dimensions of a house.Kilometers are a unit of measurement for very large distances such as the distance between two cities or countries.Learn more about distance in: https://brainly.com/question/15172156
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Given the bag of marbles below, determine the probability of drawing blue, then green, then blue, then blue with replacement
Answer:
bule is in the spot of green in the sixth place of box 5
Step-by-step explanation:
PLEASE HELP IM STRUGGLING AND IM FAILING GEOMETRY
Answer:
2.6 m
Step-by-step explanation:
The surface area for rectangular prisms is: S = 2lw + 2lh + 2wh, where l = length, w = width, h = height.
Substitute the known values into this equation: h = 5, l = 10, w = x, S = 178
178 = 2(10x) + 2(5 x 10) + 2 (5x)
Simplify!
178 = 20x + 100 + 10x
Subtract 100 from both sides and combine x's
78 = 30x
divide both sides by 30
x = 2.6 m
answer check: 2(10 x 2.6) + 2(5 x 10) + 2 (5 x 2.6) = 178 (true!)
ertyuidfghjkl;'
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Answer:
jklgyukdj
Step-by-step explanation:
What graph can be used to solve the equation 2x - 1 = x + 2?
Answer:
Step-by-step explanation:
The triangle shown below has an area of 22 units, 4 Find the missing length. = units
Answer:
Step-by-step explanation:
the area of a triangle is area= 1/2 x base x height. ( half multiply by base multiply by height)
so plug in 22 for area 22=1/2 x 4 x height
22/2=11
11 is the length
hope this helps.
Solve for x,
x = 10
x = 15
x = 8
x = 12
[tex]~~~~~~(8x-17)+(3x+2)+63 = 180\\\\\implies 11x +48=180\\\\\implies 11x = 180-48\\\\\implies 11x = 132\\\\\implies x= \dfrac{132}{11}\\\\\implies x= 12[/tex]
Answer:
x = 12.
Step-by-step explanation:
The sum of the 3 angles is 180, so:
8x - 17 + 3x + 2 + 63 = 180
11x -15 + 63 = 180
11x = 180 + 15 - 63
11x = 132
x = 132/11 = 12
4 If 2 is a zero of
polynomial f(x) = ax² - 3(a-1)x-1,
then find the value of a.
Answer:
a = 2.5
Step-by-step explanation:
It is mentioned that 2 is a zero of the polynomial f(x) = ax² - 3(a - 1)x - 1
So that means :
⇒ f(x) = 0
⇒ x = 2
Substituting and solve for a :
⇒ 0 = a(2)² - 3(a - 1)(2) - 1
⇒ 0 = 4a - 6(a - 1) - 1
⇒ 0 = 4a - 6a + 6 - 1
⇒ 2a = 5
⇒ a = 2.5
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth.
Answer:
0.892
Step-by-step explanation:
The probability that it is raining and the flight is delayed is 0.008.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06.
Let P(A)=0.14 and P(B)=0.06
Here, P(A and B)=P(A)×P(B)
= 0.14 ×0.06
= 0.0084
= 0.008
Therefore, the probability that it is raining and the flight is delayed is 0.008.
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Which is a factor of both terms of the expression 2d-10
Answer:
2Step-by-step explanation:
2d = 2 · d
10 = 2 · 5
2d - 10 = 2 · d - 2 · 5 = 2 · (d - 5)
Answer: the answer is 2 YW!!!
Step-by-step explanation:
Jasper was testing H_0: \mu=36H
0
:μ=36H, start subscript, 0, end subscript, colon, mu, equals, 36 versus H_\text{a}: \mu\neq36H
a
:μ
=36H, start subscript, start text, a, end text, end subscript, colon, mu, does not equal, 36 with a sample of 161616 observations. His test statistic was t=2. 4t=2. 4t, equals, 2, point, 4. Assume that the conditions for inference were met. What is the approximate P-value for Jasper's test?
Answer:
0.02<P-value<0.04
Step-by-step explanation:
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