Answer: x = 5/3
Step-by-step explanation:
Let the number be x
Then
3x + 4 = 9
3x = 9-4
3x = 5
x = 5/3
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3,
If an angle measures 29°, find its supplement.
7
4
Kelsey is drawing a triangle with angle measures of 128° and 10°. What is the measure of
the missing angle?
A
1280
10°
В
not to scale
7.6.2 DOK
9514 1404 393
Answer:
3. 151°
4. 42°
Step-by-step explanation:
3. The measure of the supplement is found by subtracting the angle from 180°.
supplement of 29° = 180° -29° = 151°
__
4. The total of angles in a triangle is 180°, so the third one can be found by subtracting the other two from 180°.
third angle = 180° -128° -10° = 42°
Calculate 50% of 7.9 giving your answer to one decimal place?
Answer:
4.0
Step-by-step explanation:
50% means half.
Divide by 2.
7.9 ÷ 2 = 3.95.
Round to the tenths place.
4.0
I hope this helps!
pls ❤ and mark brainliest pls!
Which function is the inverse of f(x)= x^3–6x^2+12x-8?
OA. 1-11)=33-2
OB. f-1(x)=+2
OC. f-11:0) = 35+2
OD
p=123 = /52 – 365 – 72
2
2 X 33
Answer:
Step-by-step explanation:
Your question is not displaying properly.
y = f(x) = x³ - 6x² + 12x - 8 = (x-2)³
x-2 = ∛y
x = 2 + ∛y
Switch x and y:
y = 2 + ∛x
f ⁻¹ (x) = 2 + ∛x
Divide p(x)=x^3-4x^2+x+6 by (x-3). Find the remainder and the quotient.
Answer:
Quotient is x² - x - 2
Remainder is 0
A geologist has collected 5 specimens of basaltic rock and 7 specimens of granite. The geologist instructs a laboratory assistant to randomly select 9 of the specimens for analysis.
Let X= the number of granite specimens selected for analysis.
Note: Take 10 decimal places after the ".", if the answer is a fraction, enter the fraction (a/b). Use a period (.) not a comma (,) for decimals.
a) Compute EX = ?; Var(X) = ?
b) Compute P(X<6) = ?
c) What is the probability that all specimens of one of the two types of rock are selected for analysis?
P(all specimens of one of the two types of rock are selected for analysis) = ?
The rocks are chosen without replacement, which means that the hypergeometric distribution is used to solve this question. First we get the parameters, and then we answer the questions. From this, we get that:
[tex]E(X) = 5.25, Var(X) = 0.5966[/tex]P(X < 6) = 0.9545P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The mean and the variance are:
[tex]\mu = \frac{nk}{N}[/tex]
[tex]\sigma^2 = \frac{nk(N-k)(N-n)}{N^2(N-1)}[/tex]
We have that:
5 + 7 = 12 rocks, which means that [tex]N = 12[/tex]
9 are chosen, which means that [tex]n = 9[/tex]
7 are granite, which means that [tex]k = 7[/tex]
Question a:
[tex]E(X) = \mu = \frac{9\times7}{12} = 5.25[/tex]
[tex]Var(X) = \sigma^2 = \frac{9\times7(12-7)(12-9)}{12^2(12-1)} = 0.5966[/tex]
Thus:
[tex]E(X) = 5.25, Var(X) = 0.5966[/tex]
Question b:
Since there are only 5 specimens of basaltic rock, at least 9 - 5 = 4 specimens of granite are needed, which means that:
[tex]P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,12,9,7) = \frac{C_{7,4}*C_{5,5}}{C_{12,9}} = 0.1591[/tex]
[tex]P(X = 5) = h(5,12,9,7) = \frac{C_{7,5}*C_{5,4}}{C_{12,9}} = 0.4773[/tex]
[tex]P(X = 6) = h(6,12,9,7) = \frac{C_{7,6}*C_{5,3}}{C_{12,9}} = 0.3181[/tex]
Thus
[tex]P(X < 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1591 + 0.4773 + 0.3181 = 0.9545[/tex]
So P(X < 6) = 0.9545.
Question c:
5 of basaltic and 4 of granite: 0.1591 probability.
7 of granite is P(X = 7), in which
[tex]P(X = 7) = h(7,12,9,7) = \frac{C_{7,7}*C_{5,2}}{C_{12,9}} = 0.0455[/tex]
0.1591 + 0.0455 = 0.2046, thus:
P(all specimens of one of the two types of rock are selected for analysis) = 0.2046.
A similar question is found at https://brainly.com/question/24008577
Enter the degree of the polynomial below.
6x + 9x + 3x – 4410 - 9x5 – 5x6
A. 9
B. 10
c. 6.
OD. 4
Answer:
the answer is d
Step-by-step explanation:
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
-3y=3x-9
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
Answer:
y = -3 m = -1 b = 3
Step-by-step explanation:
-3y=3x-9
To isolate the y variable, divide both sides by -3.
y = -1x + 3
y = -3
m = -1
b = 3
My father eats 125 g of chocolate a day. How many grams will he eat in two weeks?
0.06 + 2 =
0.03 + 0.4 =
0.5 + 0.02 =
0.06 + 5 =
0.01 + 0.5 =
0.2 + 4 =
0.02 + 2 =
0.6 + 0.1 =
0.5 + 0.1 =
0.05 + 3 =
00.3 + 1 =
0.0 + 0.2 =
0.4 + 00.1 =
0.1 + 0.3 =
0.02 + 0.00 =
0.02 + 0.05 =
0.01 + 6 =
0.2 + 3 =
0.03 + 0.5 =
0.2 + 1 =
Answer:
1.) 2.06
2.) 0.43
3.) 0.52
4.) 5.06
5.) 0.51
6.) 4.2
7.) 2.02
8.) 0.7
9.) 0.6
10.) 3.05
11.) 1.3
12.) 0.2
13.) 0.5
14.) 0.4
15.) 0.02
16.) 0.07
17.) 6.01
18.) 3.2
19.) 0.53
20.) 1.2
Step-by-step explanation:
Simple addition with decimals. If you have a whole number like 5, with a decimal like 0.07, 5+0.07 would be 5.07. 5 would take the spot of 0 in the ones place and .07 would remain. If you have 0.10+0.8, it would be 0.9 as your answer since we make 0.8 to 0.80 or 0.10 to 0.1 and add the two together. Hope this helped!
If one big rectangle represents one whole what fraction of area is shaded gold in the two rectangle
Answer:
15/8
Step-by-step explanation:
one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.
Draw the line segment with endpoints (-5, 9) and (-1, -7) and find the value of y if x=-4;-2.5;-2;-1.5;0 plz answer asap
Answer:
5, - 1, - 3, - 5, - 11
Step-by-step explanation:
The equation of the line is y=-4x-11. The y values corresponding to x are 5, - 1, - 3, - 5, - 11
John has a rectangular garden with an area of 22.6 square feet. If the length of the garden is 5.2 feet, what is the length of the diagonal of the garden? Round to the nearest tenth.
Group of answer choices
6.1 feet
4.1 feet
8.1 feet
6.8 feet
Answer:
6.8 feet
Answer From Gauth Math
Width = area/length = 22.6/5.2 = 113 ≈/26
Diagonal = √[length² + width²] ≈ √23.0 feet
Is 3.6 a irrational or rational number?
Which of the following equations is of a parabola with a vertex at (1, 2)?
O y = (x - 1) 2 - 2
Oy= (x - 1)2 + 2
O y = (x + 1)2 - 2
O y = (x + 1)2 + 2
Answer:
the second option: (x-1)squared +2
Explanation:
The x value of the vertex can be found in the parenthesis after the x. However, you have to do the opposite value of it. So, since the paranthesis has (x-1) then that means that the vertex's x-value has to be 1.
For the y-value of the vertex, that can be found after the paranthesis. This value will not be used as the opposite like with the x-value. So, we know that in (x-1)^2 +2 the "+2" indicates the y-value to be 2.
Karen purchased 3 gallons of yellow paint and 4 gallons on blue paint from the hardware store. The total cost was $105. Yellow paint
and blue paint sell for the same price per gallon. Which THREE statements are correct?
A) 7x = the total cost
B)The price per gallon is $7.
C)3x + 4x = 105 models Karen's purchase
D)(3x)(4x) - 105 models Karen's purchase
E) 3x + 4x = (total gallons)(price per gallon)
yeah
Answer:
Since Both the Blue and Yellow cost the same..
Represent the cost per gallon with x
4 gallons of Blue would cost 4x
3 gallons of Yellow would cost 3x
Total cost = $105
Therefore
4x + 3x = 105 ✅ Is a correct statement.
7x = 105 ✅ Is also another correct statement.
These two are the only correct statements I'm seeing there.
Option B is Incorrect because Price per gallon is
105/7 = $15.
D is wrong by simple Logic.
E is also wrong.
Check the Question you typed to see if You made any Errors...
If I'm wrong also... By all Means...Correct Me.
Have a great day!
Find the following from the parabola below
2)axis of symmetry
3) vertex
4) Domain
5) range
y=(x-3)2 + 8
Answer:
Step-by-step explanation:
Use ^2 to indicate ²
y = (x-3)² + 8
This is an up-opening parabola.
Vertex (3,8)
Axis of symmetry: x = 3
Domain: ℝ
Range: [8,+∞)
Please help! Question and answers are in the pic
So far she worked 4 days at 5 1/2 hours a day for a total of 22 hours.
22 hours x $8.50 = $187
Subtract that from the cost of the computer:
899-187 = $712
She needs $712 more.
Amount she makes per shift: $8.50 x 5 1/2 hours = $46.75
Divide what she needs by amount per shift:
712 / 46.75 = 15.22 shifts
She needs to work 16 more shifts.
Find the area (in square feet) of a rectangle that measures 17" × 3'10".
Answer:
65 feet and 2 inches
Step-by-step explanation:
to find the area of a rectangle you need to multiply length times width in this case 17" times 3'10". But first you must convert everything into the same form(in this case feet) so first you can convert everything to inches by multiplying 3 times 12 which gives you 36 then add the 10, so it is now 46 inches then multiply that by 17 and altogether it is 782 inches, then divide by 12 (to convert it back to feet) and the answer is 65.1666666667. After you can round and get 65 feet and 2 inches.
7 10/3 x 3 1/10= Can you explain step by step to me
Thanks
Answer:
710/3×31/10
[tex]reduce \: fraction \: to \: the \: lowest \\ term \: by \: canceling \: the \: greatest \\ common \: factor \: \\ = \frac{71 \times 31}{3} \\ calculate \: the \: first \: two \: terms \\ = \frac{2201}{3} \: is \: the \: answer[/tex]
A ray of light passing from air through an equilateral glass prism undergoes minimum
deviation, when the angle of incidence is 3/4th of the angle of prism. If the speed of light
in air is 3x10^8m/s, calculate the speed of light in the prism?
Answer: 45° and speed of light in prism 2×10⁸m/s
Step-by-step explanation:
The minimum deviation of the equilateral glass prism will form 60° angle.
So angle of incidence = 3/4×60
= 3 ×15
= 45°
Minimum deviation = δmin
= 30
After finding the value of μ using prism law
μ = 1.41
Speed of light will be 2×10⁸m/s
Must click thanks and mark brainliest
What is the diameter of a hemisphere with a volume of
62617
cm
3
,
62617 cm
Answer:
Step-by-step explanation:
Hemisphere Volume = (2/3) * PI * radius^3
sphere radius^3 = Hemisphere Volume / ((2/3) PI)
sphere radius^3 = 62,617 / 2.0943951024
sphere radius^3 = 29,897.4152147556
sphere radius = 31.0368674154
sphere diameter = 62.1 cm (rounded to nearest tenth of a centimeters)
Answer:
62.1
Step-by-step explanation:
→ Set up an equation
[tex]\frac{2}{3}[/tex] × π × r³ = 62617
→ Divide both sides by π
[tex]\frac{2}{3}[/tex] × r³ = 19931.61014
→ Divide both sides by [tex]\frac{2}{3}[/tex]
r³ = 29897.41521
→ Cube root both sides
r = 31.03686742
→ Double the answer to find the diameter
31.03686742 × 2 = 62.1
What is the equation of the line that passes through the point (8,−3) and has an undefined slope?
HELP FAST PLS!!
Answer:
x = 8
Step-by-step explanation:
undefined slope => m = oo
passes (8, -3) => (x1, y1)
the equation is : y-y1 =m(x-x1)
y+3 = oo(x-8)
=> x -8 = (y+3)/oo
x -8 = 0
x = 8
so, the equation is: x = 8
Find the distance between the points (-4, -2) and (-8, 6)
Answer:
distance=√[(x2-x1)²+(y2-y1)²]
√[{6-(-2)}²+ (-8-(-4))²]
√(64+16)
√[100]
10
Points given
(-4,-2)(-8,-6)Distance:-
[tex]\\ \sf \longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf \longmapsto \sqrt{(-8+4)^2+(6+2)^2}[/tex]
[tex]\\ \sf \longmapsto \sqrt{(-4)^2+(8)^2}[/tex]
[tex]\\ \sf \longmapsto \sqrt{64+16}[/tex]
[tex]\\ \sf \longmapsto \sqrt{80}[/tex]
[tex]\\ \sf \longmapsto 8.4[/tex]
Solve for x.
5(2x - 1) = 6
A) x = 11/10(Fraction)
B) x = 1/2 (Fraction)
C) x = 1/10 (Fraction)
Answer:
x = 11/10
Step-by-step explanation:
5(2x - 1) = 6
Distribute
10x -5 = 6
Add 5 to each side
10x-5+5 = 6+5
10x = 11
Divide each side by 10
10x/10 = 11/10
x = 11/10
Match the property with its correct name
match the property to its correct name
A} additive inverse property
B} multiplicative inverse property
C} commutative property of multiplication
D} multiplicative identity
E} commutative property of complement
F} ascending property of multiplication
G} distributive property
H} associative property of multiplication
I} additive identification property
J} zero property
{1} x+(y-z)=(x+y)+z
2} (pq) * 1 = pq
3} (5x)y-5(xy)
4} a+5b = 5b + a
5} a+0=a
6} gh - hg
7} 8 + (-8)=0
8} x * 0 = 0
9} 5 * (1/5)=1
10} 2(a+h)=2a * 2b
Answer:
see below
Step-by-step explanation:
{1} x+(y-z)=(x+y)+z associative property of addition
2} (pq) * 1 = pq D multiplicative identity
3} (5x)y-5(xy) H associative property of multiplication
4} a+5b = 5b + a commutative property of addition
5} a+0=a I additive identification property
6} gh - hg C commutative property of multiplication
7} 8 + (-8)=0 A additive inverse property
8} x * 0 = 0 J zero property
9} 5 * (1/5)=1 B multiplicative inverse property
10} 2(a+b)=2a * 2b G distributive property
Let's see
#a
x+(y-z)=(x+y)+z
Associative property (Addition)#b
(pq) * 1 = pq
Identity property multiplication#c
(5x)y-5(xy)
Associative property of multiplication#d
a+5b = 5b + a
Commutative property of addition#e
a+0=a
identity property of addition#f
gh - hg
Commutative property of multiplication#g
8 + (-8)=0
additive inverse property#h
x * 0 = 0
Zero property#i
5 * (1/5)=1
Inverse property of multiplication#j
2(a+h)=2a * 2b
Distributive propertyDivide and check by multiplying the quotation by the divisor 8m^4+12m^3 over 4m
Answer:
2m^3 + 3m^2
Step-by-step explanation:
8m^4+12m^3
---------------------
4m
2m^3 + 3m^2
Check
4m(2m^3+3m^2)
8m^4 + 12 m^3
The sum of two positive integers is 67. When the smaller integer is subtracted from twice the larger, the result is 38. Find the two integers.
Answer:
Step-by-step explanation:
x+y = 67
2x-y = 38
Add the equations together
3x = 108
x = 36
y = 67-x = 31
Explain why the equation x=x+1 is a contradiction
Answer:
It results in no solution.
Step-by-step explanation:
If you subtract x on both sides, this will leave you with 0 ≠ 3. The result is no solution. This is why it is contradictory.
Answer the picture. X=450 BAC= 82 ABC=52
What’s the distance between A to C
Answer:
Hello,
Step-by-step explanation:
[tex]mes\ \widehat{C}=180^o-82^o - 52^o=46^o\\\\Using\ law\ of\ sinus:\\\dfrac{AB}{sin(C)}= \dfrac{AC}{sin(B)} \\\\\dfrac{450}{sin(46^o)}= \dfrac{AC}{sin(52^o)} \\\\AC=\dfrac{450*sin(52^o)}{sin(46^o)}= 492.9587..(ft)\approx{493(ft)}[/tex]
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answer:
Meena's age is 5 and her fathers age is 30 years old.
Step-by-step explanation:
Let's assume Meena's age to be x years old.
Meena's dads present age is 6x.
5 years from now Meena's age will be (1/3)rd of her dads age
x+5= 1/3 * 6x
x+5=2x
x=5.
Meenas present age is 5 years and her dads age is 30 years
