Delaware was the first state to enter the Union and Hawaii was the 50th. If we order the positions of entry for the rest of the states, we find that State A entered the Union right after State B, and the product of their order-of-entry numbers is 132. Use the given information to complete each statement. State A was the th state to enter the Union. State B was the th state to enter the Union.
Answer:
State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.
Step-by-step explanation:
Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:
x*(x+1) = 132
x² + x - 132 = 0
Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]
[tex]x = \frac{-1 \pm 23}{2} [/tex]
[tex]x_1 = \frac{-1 + 23}{2} [/tex]
[tex]x_1 = 11 [/tex]
[tex]x_2 = \frac{-1 - 23}{2} [/tex]
[tex]x_2 = -12[/tex]
The negative solution has no sense in the context of our problem, then the solution is x = 11.
What is anequation of the line that passes through the points (0, -7) and (-6, -2)?
Answer:
the desired equation is y = (-5/6)x - 7
Step-by-step explanation:
Going from (-6, -2) to (0, -7), we see that x (the "run") increases by 6 and y (the "rise" decreases by 5. Thus, the slope is m = rise / run = -5/6.
The slope-intercept equation y = mx + b becomes -7 = (-5/6)(0) = b, and so
b = -7.
Thus, the desired equation is y = (-5/6)x - 7.
Check this by letting x = -6 and y = -2: Is the resulting equation true?
-2 = (-5/6)(-6) - 7
-2 = 5 - 7 Yes, this is true and so we have verified that the desired equation is y = (-5/6)x - 7
What is the area of the regular heptagon shown below? (Round your answer
to the nearest whole number
Answer:
1783 sq. Units
Step-by-step explanation:
question in attachment
Answer:
Option B.
Step-by-step explanation:
Continuous probability distribution : A probability distribution is called a continuous probability distribution, if its random variable X is a continuous variable and it can take infinite values (Real values).
Number of boxes cannot be a decimal value. So, it is not a continuous variable. Thus, option A is incorrect.
Temperature of a day is a continuous variable. So, temperature of a day can be represented using a continuous probability distribution. So, option B is correct.
Marks in a test paper cannot represent a continuous variable. Thus, option C is incorrect.
Number of students who uses the internet cannot be a fractional or decimal value. So, it is not a continuous variable. Thus, option D is incorrect.
Therefore, the correct option is B.
Which transformations could be performed to show that
AABC is similar to AA"B"C"?
Answer:
add a picture
Step-by-step explanation:
ASAP PLEASE!!!
Simplify: 8 √y^2
Answer:
4√ y
.......................
can someone help fill in the gaps in the table and calculate an estimate for the mean
Answer:
Step-by-step explanation:
5x3= 15
8x9=72
12x11=132
14x17=138
9x17=153
15+72+132+138+153=510
510/50=10.2= mean
which of the following equations describe the line shown below? check all that apply. Please Help!
Answer:
A & F
Step-by-step explanation:
if you look at the other question I answered for you, you can see the work. but basically you can figure out slope by doing m=y2-y1/x2-x1.
so we now know the slope is 1/4. which eliminates choices B, D, E.
we see that C will not work because the x and y values are switched.
according to point slope formula A & F work.
Solve for r in the triangle. Round your answer to the nearest tenth.
Answer:
6.9 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 35 = x/12
12 sin 35 = x
6.882917236 = x
To the nearest tenth
6.9 =x
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
Option B is the correct answer.
Step-by-step explanation:
B= {- 5, - 4.5, - 3}
Find the surface area of the triangular prism shown below.
units2
5
7
Are triangles DEF and LNM similar if LN equals 5 MN equals 3 DE equals 10 and FE equals 6
A. No the corresponding sides are not proportional
B. No the corresponding angles are not congruent
C. Yes by the SSS Similarity Postulate
D. Yes by the SAS Similarity Postulate
Answer:
D. Yes by SAS Similarity Postulate
Step-by-step explanation:
This is the answer because if you flip triangle LNM around to shape the DEF. Then you will see that:
1. angle D is congruent to angle L
2. angle E is congruent to angle N
3. angle F is congruent to angle M
4. angle E and N are both 90 degrees
Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.
We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate. The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.
Answer:
D. SAS Similarity Postulate
Step-by-step explanation:
I got it right on the test
What is the answer for 7x-4=73
Answer:
11
Step-by-step explanation:
7x-4=73
7x = 4+73
7x = 77
7x/7 = 77/7
x = 11
What is the permeter of square ABCD?
Answer:
24.3 units (3 s.f.)
Step-by-step explanation:
Since a square has 4 equal sides,
perimeter of ABCD= 4(length of AB)
Distance between 2 points
=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]
Length of AB
[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]
perimeter of ABCD
[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]
Could someone help me with this please !
List of prime numbers: 2,3,5,7,11
Both C and D equal 2 which is a prime number.
The answers are C and D
Algebra applications: find the value of x and y
Answer:
x = 65; y = 10
Step-by-step explanation:
Theorem:
If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
The three lines are given as parallel, angles 60 deg and (2x - y) deg are supplementary, and angles (2x + y) deg and 40 deg are supplementary. The sum of the measures of supplementary angles is 180. That allows us to write two equations.
2x - y + 60 = 180
2x + y + 40 = 180
Now we simplify the 2 equations.
2x - y = 120
2x + y = 140
Since -y and y are opposites, we can add the equations to eliminate variable y.
4x = 260
x = 65
Now we substitute 65 for x in the first equation of the system of equations and solve for x.
2x - y = 120
2(65) - y = 120
130 - y = 120
-y = -10
y = 10
Answer: x = 65; y = 10
Which graph represents the solution set of the inequality. 5a+18<-27. Choose 1 answer
Answer:
c
Step-by-step explanation:
Khan academy
Given ST is tangent to radius R at S, find RT.
[tex]answer \\ = 5 \sqrt{17} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Solve the following system by of linear equation by guass jordan method 2x+2y+4z=18 X+3y+2z=13 3x+2y-3z=14
Answer:
[tex]x + 3y + 2z = 13 \\ 2x + 2y + 4z = 18 \\ 3x + 2y - 3z = 14 \\ \\ x = - 3y - 2z + 13 \\ 2( - 3y - 2z + 13) + 2y + 4z = 18 \\ 3( - 3y - 2z + 13) + 2y - 3z = 14 \\ y = 2 \\ z = \frac{25}{9} - \frac{7}{9} y \\ z = \frac{25}{9} - \frac{7}{9} \times 2 \\ z = \frac{11}{9} \\ x = - 3 \times 2 - 2( \frac{11}{9} ) + 13 \\ x = \frac{41}{9} \\ y = 2 \\ z = \frac{11}{9} [/tex]
Help ? I’m really bad at math !
Answer:
<b = 23°
Step-by-step explanation:
<a and <b are complementary so they add up to 90
<a + <b = 90
Where <a = 67
67 + <b = 90
<b = 90 - 67
<b = 23°
Answer:
∠b=23°
Step-by-step explanation:
∠a+∠b=90°
67°+∠b=90°
Subtract 67° from both sides
∠b=23°
Which of the following is the most appropriate unit to describe the rate at which a person reads?
Answer:
words per minute!
Step-by-step explanation:
Please help- I am very confused-
Answer:
5÷9
Step-by-step explanation:
5/9 is a fraction where the numerator is divided by the denominator
5 divide by 9
5÷9
Answer:
5
Step-by-step explanation:
5/9 = .55555555555
.55555555555 x 9 = 5
to check the work, just do 5 divided by nine :)
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books, b, that he purchases in a year: C(b) = 2.75b + 10 Which statements are true about the variables in the yearly cost function? Check all that apply. A. The number of books purchased is the independent variable. B. The input is the yearly cost. C. The total yearly cost depends on the number of books purchased. D. The number of books purchased is determined by the yearly cost. E. The output is the yearly cost.
Answer: A, C, and E
Step-by-step explanation:
Hi, to answer this question we have to analyze the function given:
C(b) = 2.75b + 10
Where:
Independent variable: b (number of books) Input = b Output = C = annual cost Dependent variable = C (depends on b, the independent variable)So:
A. The number of books purchased is the independent variable. TRUE
B. The input is the yearly cost. (FALSE, the input is the number of books )
C. The total yearly cost depends on the number of books purchased. TRUE
D. The number of books purchased is determined by the yearly cost. FALSE , the yearly cost is determined by the number
of books.
E. The output is the yearly cost.TRUE
Answer:
A)The number of books purchased is the independent variable.
C)The total yearly cost depends on the number of books purchased.
E)The output is the yearly cost.
those are your corrected answers
Step-by-step explanation:
what is the arc length when theta = 3pi/5 and the radius is 7 cm?
21pi/5 cm
12pi/5 cm
6pi/5 cm
3pi/35 cm
Answer: 21pi / 5
Step-by-step explanation:
Given the following :
Theta (θ) = 3π / 5
radius (r) = 7cm
The length of an arc is calculated using the formula:
(θ / 360) × 2πr
Inputting the provided values into our formula;
θ = 3π/5 = (3 × 180)° / 5 = 540°/5 = 108°
Length = (108 / 360)° × 2π × 7
Length = (3/10) × 14π
Length = 42π / 10
Length = 21π / 5 cm
Which Statement is NOT true?
Answer:
D
Step-by-step explanation:
i beleive the answer is D
random words so brainly doesnt delete my answer again for no reason d ;lkm dfkslfjks fjdsfdnfjnv fheryqoiwr bnmxm,nxvbkfldj uyeuqiowerhtuirqgyt jbnnkfamcx vnkscjvhsdf
What is the solution set of -lx| = -8?
O {8}
O {-8}
O {-8, 8}
O no solution
Answer:
O {-8, 8}
Step-by-step explanation:
[tex]-|x| = -8\\\\\frac{-|x|=-8}{-1}\\\\|x|=8\\\\\text{Apply rule: If } |u|=a, a > 0, \text {then } u=a \text { or } u=-a\\\\\boxed {x = -8, x = 8}[/tex]
Pls help me with geometry
Answer:
x = 20
y = 73
Step-by-step explanation:
8x - 87 + 7x - 33 = 180
15x = 180 + 87 + 33
15x = 300
x = 20
8x - 87 = y
160 - 87 = y
y = 73
I NEED HELP ASAP
The line of best fit in the scatter plot represents the average customer rating at Mike's BBQ Shop over time. Mike's BBQ Shop started with an average customer rating of ....
Answer:
4
Step-by-step explanation:
Month 1- average rating as er graph is 4 point (1,4)
Rating was 4 at the beginning, then was stable for 2 months at 3, then increased over time up to 8 at month 10, point (10, 8)
|9t|=81 answer the equation
Answer:
9, or -9
Step-by-step explanation:
9t=81 or -81
t=9 or -9
Answer:
[tex]t=9\\t=-9[/tex]
Step-by-step explanation:
[tex]|9t|=81[/tex]
[tex]9t=81\\9t=-81[/tex]
[tex]t=81 \div 9\\t=-81 \div 9[/tex]
[tex]t=9\\t=-9[/tex]
3 to 2 power+8x4 need answer Can’t get it to write 2 squared
Answer: 3^2 + 8×4
= 41
3^2=9, 8 ×4=32 9 +32=41
Step-by-step explanation:
You can use the carat ^ to indicate an exponent. On a standard keyboard it's above the 6. (shift +6).
I have the same problem on my phone keyboard.
In Brainly, you might be able to use the formula options.
Answer:
41
Step-by-step explanation:
3^2 + 8(4)
Multiply 8 by 4
3^2 + 32
Square 3
9 + 32
Add 9 and 32 to get the answer
41
hope this helps!