Answer:
x=0 and x=-1
Step-by-step explanation:
Given: x^2+x=0
Factor: x(x+1)=0
Use Zero Product Property: x=0 and x+1=0
Therefore, x=0 and x=-1
Joy baked 2 pizzas and cut each pizza into 8 slices. Joy and her brother ate all but 4 slices of the pizza. Which equation can be used to find s, the number of slices joy and her brother ate?
2 x s = 8 x 4
2 x 8 + 4 = s
s = (2 + 8) - 4
8 x 2 = s + 4
Answer: 8 x 2 = s + 4
Brianna measures the temperature of two chemical samples. If the first sample measures -8 degrees Celsius and the second sample measures 24 degrees Celsius, what is the average temperature of the two samples? *
Answer: + 8 degrees
Step-by-step explanation: average (-8+24)/2= 16/2 degrees
Evaluate the piecewise function when x = -1.
Step-by-step explanation:
-2<-1<1, so f(-1)=-1-2=-3
Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.
q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot
100 points i just need helpp
Answer:
5sqrt(5) = q
-5sqrt(5) = q
Step-by-step explanation:
f(q) = q^2 -125
To find the roots set the equation equal to zero
0 = q^2 -125
Add 125 to each side
125 = q^2 -125+125
125 = q^2
Take the square root of each side
±sqrt(125) = sqrt(q^2)
±sqrt( 5*25) = q
±sqrt( 25)* sqrt(5) = q
±5* sqrt(5) = q
±5sqrt(5) = q
Answer:
Guy above deserves brainliest
Step-by-step explanation:
A passenger must climb 7 steps to a platform to enter the gondola. Each step is 7.5 inches. What would the equation of the ferris wheel circle be on a cartesian coordinate graph if the x-axis is the ground and the y-axis is the axis of symmetry of the ferris wheel.
Answer:
55
Step-by-step explanation:
The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
What is Ferris wheel?A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.
What is the standard equation of the circle?The standard equation of the circle is
[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]
Where,
(h, k) is the center of the circle
and, r is the radius of the circle
According to the given question.
The diameter of the Ferris wheel is 200 feet
[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]
Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet
Therefore,
[tex]k = 4.375+100 = 104.375feet[/tex]
and
[tex]h = 0[/tex]
Therefore, the equation of the Ferris wheel circle is
[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]
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The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?
Answer:
Perimeter of rectangle EFGH = 24 unit
Step-by-step explanation:
Given:
E: (4,2)
F: (10,2)
G: (10,8)
H: (4,8)
Find:
Perimeter of rectangle EFGH
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between EF = √(4 - 10)² + (2 - 2)²
Distance between EF = √36
Distance between EF = 6units
Distance between FG = √(10 - 10)² + (2 - 8)²
Distance between FG = √36
Distance between FG = 6 units
Distance between GH = √(10 - 4)² + (8 - 8)²
Distance between GH = √36
Distance between GH = 6 units
Distance between HE = √(4 - 4)² + (8 - 2)²
Distance between HE = √36
Distance between HE = 6 units
Perimeter of rectangle EFGH = 6 + 6 + 6 + 6
Perimeter of rectangle EFGH = 24 unit
What is the volume of the rectangular prism if it's 1.5" by 1" by 3.5"
Answer:
5.25
Step-by-step explanation:
1.5 x 1 x 3.5
The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x + 70.8, where
y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896.
Which statement best describes the meaning of the y-intercept of the regression line?
A. The winning men's high Jump helght of the first Olympics was about 0.23 inches.
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
C. Each year the winning men's high jump helght is predicted to increase by 0.23 inches.
D. Each year the winning men's high jump helght is predicted to increase by 70.8 inches.
The y intercept of the equation is the 70.8.
The answer would be
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
Answer:
the answer is c
Step-by-step explanation:
because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.
Find the volume of a cone that has radius = 2 1/2 and height = 5.
98.1
26.2.
32.7
65.4
Answer:
98.1 is your anwser I know this kinds of stuff
Step-by-step explanation:
v=22/7×r^2×h/3
=22/7×21/2×5/3
=33/5
=11cm^3
Which expression is equivalent to 1/5(150x - 80y + 50 - 50x - 25y + 20)?
Answer:
20x - 21y + 14
1/5(150x - 80y + 50 -50x - 25y + 20)
30x -16y + 10 - 10x - 5y + 4
30x -10x -16y - 5y + 10 + 4
20x -21y + 14
Answer:
20x-21y+14
Step-by-step explanation:
add up like terms and divide them by 5
Arc measure of A and B
Answer:
arc a = 64°
arc b = 112°
Step-by-step explanation:
inscribed angles = 1/2 their arc
arc of 102° = 204° arc
arc a = 204° - 140° = 64°
arc of 92° = 184°
arc b = 360° - 184° - 64° = 112°
Evaluate (a3)4
What is the answer please?
Answer: -3 to the fourth power means we are multiplying -3 four times. Hence answer is 81 and not -81
Step-by-step explanation:
solve (2x3-5x2+8)(x+3)
Answer:
[tex](2 {x}^{3} - 5 {x}^{2} + 8)(x + 3) \\ = (2 {x}^{4} - 5 {x}^{3} + 8x + 6 {x}^{3} - 15 {x}^{2} + 24) \\ = 2 {x}^{4} + {x}^{3} - 15 {x}^{2} + 8x + 24[/tex]
Answer:
[tex]2x^{4} + x^{3} - 15x^{2} + 8x + 24[/tex]
Step-by-step explanation:
Mark as Brainllest
fr plz help i give brainiest
Answer:
Hello Love! Answer: 8000
volume is just length x width x height
so 20 x 20 x 20 = 8000
Answer:
8,000 in³
Step-by-step explanation:
All you have to do is multiply all the sides so it would be
20 · 20 · 20 = 8,000 in³
Hope this helped.
If you are willing to give me a brainliest you can its your choice.
I just need one more to level up.
Well anyways
STAY SAFE!!!!!
the volume of a cylinder varies jointly with the square of its radius and with its height: V= kr^2h Cylinder A has a volume of 197.82 cubic inches and has a radius of 3 inches and a height of 7 inches. what is the volume of cylinder B, which has a radius of 4 inches and a height of 9 inches
Answer:
452.16 in³Step-by-step explanation:
Given equation:
V = kr²hCylinder A has:
V = 197.82 in³r = 3 inh = 7 inUsing the given values find k:
197.82 = k*3²*7k = 197.82/63k = 3.14The equation now is:
V = 3.14r²hFind the volume of cylinder B:
V = 3.14*4²*9 = 452.16 in³Two rectangular prisms have the same volume.the first prism has a length of 10 meters a width of 6 meters and a height of 2 meters. The second prism has a length of 6 meters and a width of 4 meters
Answer:
height of second rectangular prism is 5 meters
Step-by-step explanation:
Find cos 0
16
20
12
A.
12
16
B.
12
20
C.
16
20
10
D.
Answer:
b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.
For angle θ, the dimension of the triangle will be,
Perpendicular = 16
Base = 12
Hypotenuse = 20
Now, the measure of cos(θ) will be,
Cos(θ) = Base / Hypotenuse
= 12 / 20
= 6 / 10
= 0.6
Hence, the value of cos(θ) in the given triangle is 0.6.
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Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate
Answer:
$15 / hr
$450 / week
Step-by-step explanation:
30 h x 52 w = 1560 hrs
$23400 / 1560 = $15 / hr
$15 * 30 hrs = $450 / week
In triangle QRS, what is the approximate measure of angle Q?
OA. 87.7°
O B.93.2°
OC. 96.9°
OD. 45.99
The approximate measure of angle Q will be 93.2°. Then the correct option is B.
What is law of cosine?Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
In a triangle QRS, the length of QR is 21, the length of RS is 32, and the length of SQ is 23.
Then the approximate measure of angle Q will be given as,
RQ² + SQ² – 2 × SQ × RQ × cos Q = RS²
21² + 23² – 2 × 23 × 21 × cos Q = 32²
441 + 529 – 966 cos Q = 1024
970 – 966 cos Q = 1024
966 cos Q = – 54
cos Q = – 54 / 966
cos Q = – 0.0559
Q = 93.2°
The approximate measure of angle Q will be 93.2°.
Then the correct option is B.
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Please help me 7th grade math
Answer: 1/8
Step-by-step explanation: hoped this helped :))
Alternate interior angles. if you are good at that help
Answer:
hi
Step-by-step explanation:
i think so,
(5x-54)⁰=(3x+16)⁰
5x-3x=16+54
2x=70
x=35⁰
3x+16=3×35+16=121
5x-54=5×35-54=121
hope it helps
have a nice day
Answer:
x = 35
The angles measure 121°
Step-by-step explanation:
Alternate interior angles are congruent. So,
3x + 16 = 5x - 54
16 = 2x - 54
70 = 2x
x = 35
Now, to find the angle measures, just plug in the value for x.
3(35) + 16 = 121°
5(35) - 54 = 121°
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answer:
50
Step-by-step explanation:
2x+10+2x-30=180
4x-20=180
4x=200
x=50
Answer:
2x-30+2x+10=180[sum of angle of co interior angle is supplementary]
4x=180+20
x=200/4=50
x=50
Mrs.Kenny teaches a ceramics class.She finds that she has 7/8 pounds of clay for a project. The project requires 1/6 of a pound.How many projects can Mrs.Kenny complete withought running out of clay
PLS FAST
The temperature decreased by 4.6 degrees Fahrenheit
B The temperature decreased by 0.28 degrees Fahrenheit
The temperature increased by 0.75 degrees Fahrenheit
The temperature increased by 4.6 degrees Fahrenheit
Answer:
10.23
Step-by-step explanation:
just add them togather
Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)
Answer:
Two additional solutions are:
(21, 1/3)
(17, 5/3)
Step-by-step explanation:
We have the equation:
x + 3*y = 22
Now we want to find two solutions (x, y).
To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.
Let's isolate x.
x = 22 - 3*y
Now we can change the value of y by a known value, and then solve the equation for x.
For example, if we define:
y = 1/3
then:
x = 22 - 3*(1/3)
x = 22 - 1 = 21
x = 21
Then the point (21, 1/3) is a solution of the equation.
Now let's input another value of y, for example, we can use y = 5/3
(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.
x = 22 - 3*(5/3)
x = 22 - 5
x = 17
Then the point (17, 5/3) is a solution of the equation.
Below is a list of equations and expressions.
1.
5(x + 3) = 25
2.
3 + x = -9
3.
X +5
3
4.
3(x + 3)
Which are examples of expressions?
A 1 and 2
B 3 and 4
с
2 and 3
D
3 only
Answer:
The answer is B.
Step-by-step explanation:
A cube has an A on 3 sides and a B on 3 sides. Rolling it 50 times results in 17 A's and 33 B's.
Using this observed probability, how many A's would be rolled in 750 tries?
Need help understanding this problem! If someone would explain how to do it that would be great!
In Triangle FGH, FH=6 ft, FG=11 ft, and m
*Hint: Law of Cosines
Answer:
m∠G = 31.83°
Step-by-step explanation:
From the triangle FGH,
FH = 6 ft
FG = 11 ft
And measure of the included angle ∠F = 73°
We have to find the measure of ∠G.
By applying law of cosine in the triangle to get the measure of third side GH first,
GH² = FH² + FG² - 2(FH)(FG)cos(∠F)
GH² = 6² + 11² - 2(6)(11)cos(73°)
GH² = 36 + 121 - 38.593
GH = √118.407
GH = 10.88 ft
Now apply sine rule in the given triangle to get the measure of ∠G.
[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]
[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]
sin(G) = 0.527374
G = [tex]\text{sin}^{-1}(0.527374)[/tex]
m∠G = 31.83°
If one side of a cube measures x cm what is the volume
Answer:
The volume is x times x times x which is x^3 :)
A random sample of failure time of 49 kidney transplants (in months) is given: 5.27 43.72 3.96 20.34 44.06 31.18 21.98 34.99 39.36 3.39 23.42 43.41 34.35 46.71 64.87 4.53 7.02 40.50 7.38 37.74 13.49 68.48 48.74 12.85 24.15 27.33 4.82 20.00 55.28 20.83 24.13 11.80 13.82 31.55 36.69 52.57 12.45 40.07 16.86 15.54 15.54 3.85 4.08 5.62 17.44 3.38 41.61 29.52 21.61 If we assume failure time has a Gamma distribution answer the following questions (with 2 decimal points). . Find the critical value for the test (for significance level of 0.1).
Answer:
Critical value ≈ 1.299
Step-by-step explanation:
number of Kidney transplant ( n ) = 49
Determine the critical value for the test
the sample mean = ∑ failure time / n = 1252.28 / 49 = 25.56
next we determine the standard deviation of the sample
s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126
standard error = s / √n = 17.3126 / 7 = 2.4732
Given a significance level of 0.1
df (degree of freedom ) = n -1 = 49 - 1 = 48
∝ = 0.1
critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )