Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
[tex]y = -x^2 + 10x - 8[/tex]
Required
The point where the trestle gets to the ground level
To do this, we set [tex]y = 0[/tex]
So, we have:
[tex]-x^2 + 10x - 8 = 0[/tex]
Multiply through by -1
[tex]x^2 -10x + 8 = 0[/tex]
Solve using quadratic formula:
[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = 1; b =-10; c = 8[/tex]
So, we have:
[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]
[tex]x= \frac{10 \± 8.25}{2}[/tex]
Solve the fraction
[tex]x= 5 \± 4.125[/tex]
Split
[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]
[tex]x= 9.125\ or\ x= 0.875[/tex]
En una sala de teatro havian 7 filas 23 sillas cada una acaban de quitar 8 de las sillas ¿cuantas sillas quedan?
Answer:
Quedan 153 sillas
Step-by-step explanation:
Primero sabemos que en una sala de teatro tenían 7 filas, y en cada una de esas filas habían 23 sillas.
Entonces, originalmente, el número total de sillas es 7 veces 23:
S = 7*23 = 161
Luego sabemos que quitan 8 de esas sillas, entonces el número de sillas que quedan es la diferencia entre el número original de sillas, 161, y 8, que nos da:
S = 161 - 8 = 153
Quedan 153 sillas
A cone-shaped paper cup has diameter 10 cm and slant
height 13 cm as shown.
a. What is the height of the cone? (10 pts)
b. What is the volume of the cone? (5 pts)
V = {trah
Answer:
i dont know
Step-by-step explanation:
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema.
f(x) = x4 - 8x² + 3
Answer:
The function is maxima at x = 0.
Step-by-step explanation:
the function is
[tex]f(x) = x^4 - 8 x^2 + 3[/tex]
Differentiate with respect to x.
[tex]f'(x) = 4x^3 - 16 x\\\\Put f'(x) = 0 \\\\4x(x^2-4)=0\\\\4 x(x +2)(x-2) =0\\\\x = 0, - 2 , 2 Now f''(x) = 12 x^2 - 16 \\\\f''(0) = - 16 = negative \\\\f''(-2) = 12(-2)^2 - 16 = 32\\\\f''(2)=12(2)^2 - 16 = 32[/tex]
So, the function is maima at x = 0 .
how do i multiply 1 1/5 x 3 4/5 x 1
Answer:
4 14/25
Step-by-step explanation:
1 1/5 x 3 4/5 x 1
We need to convert the mixed number to an improper fraction
1 1/5 = (5*1+1)/5 = 6/5
3 4/5 = (5*3+4)/5 = 19/5
1 =1
6/5 * 19/5 *1
114/25
Now convert back to a mixed number
25 goes into 115 4 times with 14 left over
4 14/25
Suppose that F(x) = x^2 and G(x) = 4x^2 - 2. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer:
C
Step-by-step explanation:
it is stretched
Emma says the length of her favorite movie is 120 minutes, but she has rounded the time to the nearest ten.
Which could be the number of minutes of Emma's favorite movie before she rounded it?
Choose 2 answers:
(Choice A)
A
111.25111.25111, point, 25
(Choice B)
B
124.9124.9124, point, 9
(Choice C)
C
115.95115.95115, point, 95
Answer:
B and C are correct
At the middle avenue school 1/30 of the students are on track team the track coach offered to buy pizza or subs for everyone on the team Of the students whom the coach bought food 3/5 ordered pizza what fraction of students at middle avenue school are pizza
Answer:
[tex]Students = \frac{1}{50}[/tex]
Step-by-step explanation:
Given
[tex]Track = \frac{1}{30}[/tex]
[tex]Pizza = \frac{3}{5}[/tex]
Required
The fraction of students in the school that ate Pizza
To do this, we simply multiply the fraction of track students and those among them that ordered pizza.
So, we have:
[tex]Students = Pizza * Track[/tex]
[tex]Students = \frac{3}{5} * \frac{1}{30}[/tex]
[tex]Students = \frac{1}{5} * \frac{1}{10}[/tex]
[tex]Students = \frac{1}{50}[/tex]
If the roots of a quadratic equation are -4 and 2,
the equation is equivalent to
Answer:
x^2-2x-8
Step-by-step explanation:
-4, 2
(x-4)(x+2) solve that, and it equals to that equation.
A.)19
B.)132
C.)48
D.)21
Answer:
Hello! answer: 48
Step-by-step explanation:
3 × 19 - 9 = 48
7 × 19 - 1 = 132
48 + 132 = 180 so... 48 is the measure of ABC
Answer:
C.) 48
Step-by-step explanation:
I seem like it's multiple choice, I don't think you really need an explanation
what is the distance?
Answer:
8.6 is the answer ...mark me as brainliest
Answer:
Distance is a numerical measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria. The distance from a point A to a point B is sometimes denoted as |AB|.
Step-by-step explanation:
thank me later
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent? (a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)
Answer:
100(a/b)
Step-by-step explanation:
Fraction
a/b
To a percent
100(a/b)
100(a/b)
________________took the test review
(got 100%)
The function f(x) = –x2 – 4x + 5 is shown on the graph.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0).
Which statement about the function is true?
The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9.
Answer:
the last one : the range of the function is all real numbers less than our equal to 9.
Step-by-step explanation:
it is a parabola that opens up only down. that means all the calculated y-values go deeper and deeper into lower and negative values the more right or left we go on the x-axis.
the maximum y-value we have at the vertex with y=9. no other x-value can generate a bigger y-value.
that's why the last answer option is right.
Write a variable expression for this phrase,
"The product of 10 and a number."
(U can use any variable)
And
" a number m increased by 250"
Answer:
▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄
ᵗᵒᶠᵘ ˡᵒᵍᵍᶦⁿᵍ ᵒⁿ…
⊹˚ʚ ❑Answer︰mx10=product of 10 and a number, m+250=a number increased by 250
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
ᵗᵒᶠᵘ ˡᵒᵍᵍⁱⁿᵍ ᵒᶠᶠ...
▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄
Step-by-step explanation:
evaluate the expressions and match them to the integers.
Answer:
See below.
Step-by-step explanation:
-7(6) = -42
-1(-10) = 10
2(-5) = -10
-3(-14) = 42
-32/-4 = 8
-2(-2)(-2) = -8
Hey can anyone help me I am really stuck, Use exact values. NO DECIMALS they say
Answer:
x = 8
y = 4 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 30 = 4/x
x sin 30 = 4
x = 4 / sin 30
x = 4 / ( 1/2)
x = 8
tan theta = opp /adj
tan 30 = 4/y
y tan 30 =4
y = 4 / tan 30
y = 4 / ( 1/ sqrt(3))
y = 4 sqrt(3)
Answer and Step-by-step explanation:
To solve, we need to use Trigonometric Functions.
These functions include Sine, Cosine, and Tangent.
- Each one has its own rule to follow when solving.
θ = Angle
sin(θ) = [tex]\frac{Opposite.Side}{Hypotenuse}[/tex]
cos(θ) = [tex]\frac{Adjacent.Side}{Hypotenuse}[/tex]
tan(θ) = [tex]\frac{Opposite.Side}{Adjacent.Side}[/tex]
For this problem, we will only be using the trigonometric functions of Sine and Tangent.
Start by finding x.
sin(30) = [tex]\frac{4}{x}[/tex]
Multiply x to both sides.
x × sin(30) = [tex]\frac{4}{x}[/tex] × x
x(sin(30)) = 4
Divide both sides of the equation by sin(30).
x(sin(30)) ÷ (sin(30)) = 4 ÷ (sin(30))
x = [tex]\frac{4}{sin(30)}[/tex]
Simplify in calculator.
x = 8
Now find the value of y.
tan(30) = [tex]\frac{4}{y}[/tex]
Multiply y to both sides.
y × tan(30) = [tex]\frac{4}{y}[/tex] × y
y(tan(30)) = 4
Divide both sides of the equation by tan(30).
y(tan(30)) ÷ (tan(30)) = 4 ÷ (tan(30))
y = [tex]\frac{4}{tan(30)}[/tex]
Simplify in calculator.
y = [tex]4\sqrt{3}[/tex]
x = 8
y = [tex]4\sqrt{3}[/tex]
^ These are the answers.
I hope this helps!
#teamtrees #PAW (Plant And Water)
Which number line shows the solutions to 1/2x – 2 > 0? Iready
No links ..Find the area
Answer:
A = 2914 in²
Step-by-step explanation:
A = bh
A = 62(47)
A = 2914
Hope this helps!
Answer: The first one because b*h and 62 is the base and 47 is the height and I did 62*47 and that equals 2914.
The lateral area of a cylinder is 3,620 square inches. The radius is 9 inches. Describe the height of the cylinder in terms of inches.
Answer:
64.05 in
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π= 3.14
r = radius = 9
h = height
3620 = 2 x 3.14 x 9 x h
3620 = 56.52h
h = 3620 / 56.52
h = 64.05 in
Solve for x. Round to the nearest tenth, if necessary.
F
х
72
8.8
G
Answer:
2.8592933268
Step-by-step explanation:
tan(72) = 8.8/x
=> x = 8.8/tan(72) = 2.859293326849
The length of x is 3.
What is a right-angled triangle?
A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
According to the given problem,
Perpendicular = 8.8
Base = x
Let the Hypotenuse be h,
∅ = 72°
We know,
sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
⇒ sin72 = [tex]\frac{8.8}{h}[/tex]
⇒ 0.95 = [tex]\frac{8.8}{h}[/tex]
⇒ 0.95h = 8.8
⇒ h = [tex]\frac{8.8}{0.95}[/tex]
⇒ h = 9.3
Now, applying Pythagoras theorem,
Hypotenuse² = Perpendicular² + Base²
⇒ 9.3² = 8.8² + x²
⇒ 9.3² - 8.8² = x²
⇒ x² = 9.05
⇒ x = √9.05
⇒ x = 3
Hence, we can conclude the value of x to be 3.
Learn more about right-angled triangle here: https://brainly.com/question/3772264
#SPJ2
Calculate the circumference of a circle with a radius of 14 cm.
Answer:
Step-by-step explanation:
circumference of a circle=2πr
=2*3.14*14
=28*3.14
=87.92 cm
Match each equation with the correct number of solutions
What are the coordinates of the point on the directed line segment from (-6, -1)(−6,−1) to (6, -9)(6,−9) that partitions the segment into a ratio of 3 to 1?
Given:
A segments is from (−6,−1) to (6, -9).
A point divides the line segment into a ratio of 3 to 1.
To find:
The coordinates of the points.
Solution:
Section formula: If a point divides a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
The point divides the line segment in 3:1, so by using section formula, we get
[tex]Point=\left(\dfrac{3(6)+1(-6)}{3+1},\dfrac{3(-9)+1(-1)}{3+1}\right)[/tex]
[tex]Point=\left(\dfrac{18-6}{4},\dfrac{-27-1}{4}\right)[/tex]
[tex]Point=\left(\dfrac{12}{4},\dfrac{-28}{4}\right)[/tex]
[tex]Point=\left(3,-7\right)[/tex]
Therefore, the coordinates of the required point are (3,-7).
The dot plot showed the number of flowers on a rosebush: 18, 18, 18, 18, 20, 20, 22, 23 The number 19 is used to summarize the data. What does this number measure?
Answer:
19 measures the median
Step-by-step explanation:
The dot plot is not shown, but the question can still be answered.
We have:
[tex]Samples: 18, 18, 18, 18, 20, 20, 22, 23[/tex]
[tex]n = 8[/tex]
Calculate the median position using:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{8 + 1}{2}th[/tex]
[tex]Median = \frac{9}{2}th[/tex]
[tex]Median = 4.5th[/tex]
4.5th means the median is the mean of the 4th and 5th item.
We have:
[tex]4th = 18[/tex]
[tex]5th = 20[/tex]
So:
[tex]Median = \frac{18 + 20}{2}[/tex]
[tex]Median = \frac{38}{2}[/tex]
[tex]Median = 19[/tex]
12345678910111221330200w
Answer:
ok then, what an excellent string of numbers and letters
who can do this and how?
Answer:
C
Step-by-step explanation:
If we round up the 3/4 cup of sugar to 1 cup to make it easier, and then multiply by 2 because the 3/4 cup of sugar only makes half a dozen cupcakes, then we will get 2 cups of sugar which is an overestimate of how much is needed. If we multiply it again by 3 because he needs 3 times the amount of sugar, we get 6 cups of sugar because we rounded it up. Since we know 3/4 is less than 1, we can assume that 6 cups of sugar is more than needed.
5.(MC)
A rectangle has a length of 5/16 inches and a width of 25 inches. Find the area of the rectangle. (2 points)
Answer:
2
Step-by-step explanation:
The area of a triangle is equivalent to its length multiplied by its width.
In this example, one way we can look at this is to make everything in terms of two. First, we know that
[tex]2^{4} = 16\\\sqrt[5]{2^{4}} = \sqrt[5]{16} \\2^{4 (1/5)} = \sqrt[5]{2^{4}}[/tex]
We can establish that last line because x^((y)^(z)) = x^(y*z), as is stated in exponent rules. Therefore, our area is
[tex]2^{4/5} * 2^{1/5} = 2^{4/5 + 1/5} = 2^{5/5} = 2^{1} =2[/tex]
Which is equal to (3 + 4) - 50
Answer:
-43
hope this helps
have a good day :)
Step-by-step explanation:
3+4=7
7-50=-43
Answer:
Step-by-step explanation:
(3+4)-50
=7-50
=-43
Which is a Quadratic ?
A. 2x+3
B. 5x-7
C. x2+3x+12
D. x2+4x+12
E. x3+x2
F. 1/x
G. 5-x2
Answer:7uu
lol
Step-by-step explanation:
ssssy6
A bag contains colored eggs.
2 eggs are pink
4 eggs are purple
2 eggs are orange
An egg will be randomly selected from the bag. What is the probability, in decimal form, that the egg selected
will be orange?
Answer:
.25
Step-by-step explanation:
2 eggs are pink
4 eggs are purple
2 eggs are orange
-----------------------
8 total eggs
P( orange) = orange eggs/ total eggs
= 2/8
= 1/4
= .25
Answer Please.......
Answer:
7.1
Step-by-step explanation:
Use the trig ratio tan to find b
4.5 x tan (23) = b = 7.14668887526
7.1
Answer:
b ≈ 1.9
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan23° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{4.5}[/tex] ( multiply both sides by 4.5 )
4.5 × tan23° = b , then
b ≈ 1.9 ( to the nearest tenth )