Answer:
[tex]f(x) = 2x + 5[/tex]
[tex]g(x) = (x - 6)^2[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Which will give:
[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
Equate the expression in bracket to g(x)
[tex]g(x) = (x - 6)^2[/tex]
Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
[tex]f(x) = 2x + 5[/tex]
Which of the following are statistical questions? Select all that apply.
A.
How many goals does a high school soccer team score in each game?
B.
How long does it take a high school student to run a mile?
C.
What is the world record for the fastest time to run 1 mile?
D.
How many runs did the Georgetown Giraffes baseball team score last night?
Answer:
I think A and B
Step-by-step explanation:
• A statistical question is a question that has more than one possible answer ( and can be answered by collecting data) where there will be variability in the data. for instance an example would be " How old are the students in this room?"
• However a non statical question has only one answer for instance "How old are you?"
both a and b dont have specific answers because it's not talking about a specific high school students or a specific soccer team. i would guess those are correct, but using the information from above you can also see what you think! hope this helps :)
Fill in the missing monomials: 100x2= (_____)^2
ITS NOT 100
Answer:
10x
Step-by-step explanation:
10x times itself is 100x^2
Hope this helps!
Jerome solved the equation below using the steps shown. Step 1: 3x + 6 = 18 step 2: 3x = 12 step 3: x = 4 what operation did her perform to get from step 2 to step 3
Answer:
divided both sides of the equation by 3
Step-by-step explanation:
5. The Toy Car Company sells toy cars for $8.00
per car and charges $3.50 for shipping.
Answer:
$11.50
Step-by-step explanation:
Let 0 be an angle such that sec0= -13/12 and cot0<0. Find the exact values of tan0 and sin0.
Answer:
tan 0 = -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
What is the area of a rectangle that is 3 1/3 yards on one side and 7 2/3 yards long on the other side?
Answer:
The answer is A=2/9 yards²
Step-by-step explanation:
The formula for a rectangle is A=B x H
So the equation is A= 1/3 yards x 2/3 yards
I suppose this is right.
Which statements are true? Select each correct answer. All triangles are open figures. All triangles have 3 sides that are equal in length. All triangles are polygons. All triangles have 3 angles. Only some triangles have 1 right angle.
Answer:
the answers are the 3 last ones
Step-by-step explanation:
hope this helped
Which of the following formulas does not represent finding The height of a rectangular prism with a volume of 200 in.³, a length of 4 inches, and a with of 5 inches?
Kindly solve ½=4/?, What's going to be the answer? Thank you
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
1/2 = 4/8
…………………….. ……………………..
============================================================
Work Shown:
Apply the tangent ratio. Make sure your calculator is in degree mode.
tan(angle) = opposite/adjacent
tan(B) = CD/BC
tan(39) = x/30
30*tan(39) = x
x = 30*tan(39)
x = 24.2935209958502
x = 24.3
Determine the equation of the circle graphed below.
9514 1404 393
Answer:
(x +1)^2 +(y -3)^2 = 4
Step-by-step explanation:
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The graphed circle is centered at (h, k) = (-1, 3), and has radius 2, so its equation is ...
(x +1)^2 +(y -3)^2 = 4
A caterpillar eats through 2/3 leaves for every 4/5 minutes. What is the unit ratio for leaves eaten through to minutes?
Answer:
1 1/5
Step-by-step explanation:
What is the value of x in the equation 7(x − 2) = 5(x + 4)?
Answer: x= 17 I hope that helps you understand it Goodbye!
Step-by-step explanation:
7(x-2)=5(x+4) So the first step is to Distribute meaning Multiply so 7(x-2 ) that would give you -14 that where I got that from and I just did 5(x+4)= 20 and bring the x down
1. 7x-14=5x+20 So, I just do the opposite of subtracting which is adding so, I'm going to add 14 to both sides
2. 7x=5x+20+14 = 5x+34
3. 7x= 5x+34 So, I'm going to do the opposite of adding now which is subtracting meaning I'm just going to subtract 5x from both sides
4. 7x-5x=34 So then I do 7x-5x=2x
5. 2x= 34 so. I just Divide 2 from both sides x=34/2= 17
So, your answer would be x=17 and yes you got to put the variable for your answer to be right you can't just put 17 it got to be x= 17 and variable is just letters in the equation don't let it confused you but that would be your answer x=17 And can you make me Brainliest Please
Terry finished cooking at 7:36 p.m. She cooked for 2 hours and 40 minutes. What time did she start cooking?
Answer:
2:56 pm
Step-by-step explanation:
end time: 7:36 pm
Borrow one hour from the hours and add it as 60 minutes to the minutes.
7:36 pm = 6:96 pm
Now subtract 2:40 from 6:96.
Subtract 2 from 7 and subtract 40 from 96.
7:36 pm - 2:40 = 6:96 pm - 2:40 = 2:56 pm
Answer: 2:56 pm
I NEED HELP ASAP!!!!! I WILL GIVE LOTS OF POINTS
Answer:
1) -⅓
2) -6
3) infinite
4) 4
Step-by-step explanation:
slope = y/x
1) -1/3 = -⅓
2) -6/1 = -6
3) 1/0 = infinite
4) 4/1 = 4
Answer:
1:
(0,-1) and (3,-2)
slope=(y2-y1)/(x2-x1)=(-2+1)/(3-0)=-⅓
2.
(0,2)&(1,-4)
d
slope=(-4-2)/(1-0)=-6
3.
(-3,-3)&(-3,-4)
slope=(-4+3)/(-3+3)=infinite
4.
(-1,2)&(2,-2)
slope=(-2-2)/(2+1)=-4/3
Se desea construir un vaso de papel en forma de cono circular recto que tenga un volumen de 25πcm3
. Determine las dimensiones del vaso que requiere menos papel. Cuales deben ser si el volumen
es de 1 litro?
Answer:
Para un vaso de [tex]V = 25\pi\,cm^{3}[/tex], las dimensiones del vaso son [tex]r \approx 2.321\,cm[/tex] y [tex]h \approx 4.642\,cm[/tex].
Para un vaso de [tex]V = 1000\,cm^{3}[/tex], las dimensiones del vaso son [tex]r \approx 5.419\,cm[/tex] y [tex]h \approx 10.839\,cm[/tex].
Step-by-step explanation:
El vaso se puede modelar como un cilindro recto. El enunciado pregunta por las dimensiones del vaso tal que su área superficial ([tex]A_{s}[/tex]), en centímetros cuadrados, sea mínima para el volumen dado ([tex]V[/tex]), en centímetros cúbicos. Las ecuaciones de volumen y área superficial son, respectivamente:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
[tex]A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r\cdot h[/tex] (2)
De (1):
[tex]h = \frac{V}{\pi\cdot r^{2}}[/tex]
En (2):
[tex]A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot \left(\frac{V}{\pi\cdot r} \right)[/tex]
[tex]A_{s} = 2\cdot \left(\pi\cdot r^{2}+V\cdot r^{-1} \right)[/tex]
Asumamos que [tex]V[/tex] es constante, la primera y segunda derivadas de la función son, respectivamente:
[tex]A'_{s} = 2\cdot (2\pi\cdot r -V\cdot r^{-2})[/tex]
[tex]A'_{s} = 4\pi\cdot r - 2\cdot V\cdot r^{-2}[/tex] (3)
[tex]A''_{s} = 4\pi + 4\cdot V \cdot r^{-3}[/tex] (4)
Si igualamos [tex]A'_{s}[/tex] a cero, entonces hallamos los siguientes puntos críticos:
[tex]4\pi\cdot r - 2\cdot V\cdot r^{-2} = 0[/tex]
[tex]4\pi\cdot r = 2\cdot V\cdot r^{-2}[/tex]
[tex]4\pi\cdot r^{3} = 2\cdot V[/tex]
[tex]r^{3} = \frac{V}{2\pi}[/tex]
[tex]r = \sqrt[3]{\frac{V}{2\pi} }[/tex] (5)
Ahora, si aplicamos este valor a (4), tenemos que:
[tex]A_{s}'' = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }[/tex]
[tex]A''_{s} = 4\pi + 8\pi[/tex]
[tex]A_{s}'' = 12\pi[/tex] (6)
De acuerdo con este resultado, el valor crítico está asociado al área superficial mínima. Ahora, la altura se calcula a partir de (5) y (1):
[tex]h = \frac{V}{\pi\cdot \left(\frac{V}{2\pi} \right)^{2/3} }[/tex]
[tex]h = \frac{2^{2/3}\cdot \pi^{2/3}\cdot V}{\pi\cdot V^{2/3}}[/tex]
[tex]h = \frac{2^{2/3}\cdot V^{1/3}}{\pi^{1/3}}[/tex]
Si [tex]V = 25\pi\,cm^{3}[/tex], entonces las dimensiones del vaso son:
[tex]r = \sqrt[3]{\frac{25\pi\,cm^{3}}{2\pi} }[/tex]
[tex]r \approx 2.321\,cm[/tex]
[tex]h = \frac{2^{2/3}\cdot (25\pi\,cm^{3})^{1/3}}{\pi^{1/3}}[/tex]
[tex]h \approx 4.642\,cm[/tex]
Un litro equivale a 1000 centímetros cúbicos, las dimensiones del vaso son:
[tex]r = \sqrt[3]{\frac{1000\,cm^{3}}{2\pi} }[/tex]
[tex]r \approx 5.419\,cm[/tex]
[tex]h = \frac{2^{2/3}\cdot (1000\,cm^{3})^{1/3}}{\pi^{1/3}}[/tex]
[tex]h \approx 10.839\,cm[/tex]
What is the answer ????
Answer:
7/1
Step-by-step explanation:
Winston works selling bicycles.
He is paid a flat rate of $200 plus $50 for every bicycle that he sells.
How many bicycles must Winston sell to earn at least $650?
Answer:
3
Step-by-step explanation:
650/250 = 2.6 (3)can't sell half a cycle
Sum of 4x^3+6x^2+2x^2-3 and 3x^3+3x^2-5x-5 is
9514 1404 393
Answer:
7x^3 +11x^2 -5x -8
Step-by-step explanation:
Combine like terms.
(4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)
= 7x^3 +11x^2 -5x -8
_____
Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...
(4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)
= 7x^3 +9x^2 -3x -8
HELPPPPPPPPPP FASTTTTTTT
Answer:
gallons: 14, 21, 28, 35
time: 2, 3, 4, 5
Step-by-step explanation:
In 1994, the General Social Survey included a question that asked its participants if they felt that nuclear power plants were extremely/very dangerous to the environment. Out of the 1263 surveyed, 565 said yes. What is the value of the test statistic for this problem
Answer:
Value of the test statistic for this problem = -3.74
Step-by-step explanation:
Here
the sample size n = 1263
and the x = 565
So, the p' -value = 565/1263 = 0.4473
As per the test statistics formula, z value will be evaluated
z = (0.4473-p)/sqrt {p(1-p)/n}
Let us say that p = 0.5
Substituting the given value in above equation, we get -
z = (0.4473-0.5)/sqrt {0.5(1-0.5)/1263}
z = -3.74
The test statistic of the question is; z = -3.74
What is the test statistic?We are given;
Sample size; n = 1263
Number of people that said yes; x = 565
Sample proportion is; p'= 565/1263 = 0.4473
Formula for the test statistic of proportion is;
z = (p' - p)/(√(p(1 - p)/n)
We will assume that population proportion p = 0.5. Thus;
z = (0.4473 - 0.5)/(√(0.5(1 - 0.5)/1263)
z = -3.74
Read more about test statistic at; https://brainly.com/question/4621112
Plz help me well mark brainliest if correct...?????
Answer:
Option B, Shows change over time
Step-by-step explanation:
Since the slope of a line graph could be found out by the formula;
Change y / Change in x...
This represents change over time
Hope this helps!
complete the table
pa answer nàman ohh
please
Answer:
1. 210KM
2. 5.5 HOURS
3. 110KPH
4. 1.5HOURS
5. 336KM
6. 80KPH
7. 96KPH
8. 153.8KM
9. 40KPH
10. 45KM
Step-by-step explanation:
TIME = DISTANCE/SPEED
DISTANCE = SPEED × TIME
SPEED= DISTANCE/TIME
Please help me with these 3 questions!! Will mark Brainliest :)
Answer:
7. 75.36 inches
8. 21 inches
9. 13 inches
Step-by-step explanation:
7. Circumference = π × d
The diameter would be two times the radius, or 2 × 12 = 24. So, circumference would be 3.14 × 24 = 75.36 inches.
8. Circumference = π × d
If we move variables around, d = Circumference / π
So, d = 65.94 / 3.14 = 21 inches.
9. To do this, let's figure out the diameter: d = Circumference / π
d = 81.64 / 3.14 = 26. Now the diameter is two times the radius, so to get the length of the radius, we must divide the diameter in half. 26 / 2 = 13 inches.
If x=3 what is the value of the following expression ?
X^2 -2x +5
3
6
8
9
Answer:
8
Step-by-step explanation:
X^2 -2x +5
3^2 - 2×3 + 5
9 - 6 + 5
14 - 6
8
In 1990, the average duration of long-distance telephone calls originating in one town was A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of The hypotheses are:
Answer:
The null hypothesis is [tex]H_0: \mu = X[/tex]
The alternate hypothesis is [tex]H_1: \mu \neq X[/tex]
Step-by-step explanation:
Mean of X in 1990, test if the mean duration has changed:
At the null hypothesis, we test if the mean duration is still X, that is:
[tex]H_0: \mu = X[/tex]
At the alternate hypothesis, we test if the mean duration has the changed, that is, if it is different of X. So
[tex]H_1: \mu \neq X[/tex]
HELP
Which number is equivalent to 5.4 times 10 squared?
A. 0.0054
B. 0.054
C. 54
D.540
E. 5,400
Answer:
D 540
Step-by-step explanation:
5.4 * 10²
5.4 * 100
540
Every morning Ramona misses her bus with probability 1/10, independently of other mornings. What is the probability that next week she catches her bus on Monday, Tuesday, and Thursday, but misses her bus on Wednesday and Friday
Answer:
The probability is [tex]\frac{729}{100000}[/tex].
Step-by-step explanation:
probability of missing the bus = 1/10
Probability of catching the bus = 1 - 1/10 = 9 /10
So, the required probability is
[tex]\frac{9}{10}\times \frac {9}{10}\times \frac {1}{10}\times \frac {9}{10}\times \frac {1}{10}[/tex]
[tex]\frac{729}{100000}[/tex]
678×567 765÷876 654321±7654322134566
Answer:
use a calculator
Step-by-step explanation:
hope this helps
Helppppp meeeeeeee plsssssssss
Answer:
X4
Step-by-step explanation: