Answer:
[tex] a. = -35 \\ b. = 9a + 1 \\ c. = -35 [/tex]
Step-by-step explanation:
[tex]a. \\ = > \: 7a - 1 + 2a + 2 \\ \\ = > 7( - 4) - 1 + 2( - 4) + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 28 - 1 - 8 + 2 \\ \\ = > - 37 + 2 \\ \\ = > - 35 \\ \\ \\ b. \\ = > 7a - 1 + 2a + 2 \\ \\ = > 7a + 2a - 1 + 2 \\ \\ = > 9a + 1 \\ \\ \\ c. \\ = > 9a + 1 \\ \\ = > 9( - 4) + 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 36 + 1 \\ \\ = > - 35[/tex]
1. Find the volume of the cylinder
height: 8m
radius: 3 m
with the explanation if possible <3
Answer:
226.19
Step-by-step explanation:
V=π•r^2•h
V=π•3^2•8
v=72π
V=226.19
which best explains whether a triangle with side lengths 5cm 13cm and 12 cm is a right triangle
Answer: the awnser is 0 jk its not
Step-by-step explanation:
i just want point repete dkmkmkrfnjrjnnfrfr
Answer:
Yes, it can make a right triangle.
Step-by-step explanation:
We can use the Pythagorean Theorem to determine if the sides make a right triangle.
[tex]a^2+b^2=c^2[/tex]
We are given the side lengths: 5cm, 13cm, and 12 cm.
13cm is the longest, so it would be 'c'.
5cm and 12cm will be 'a' and 'b'.
Let 5 be 'a', 12 be 'b', and 13 be 'c':
[tex]5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}[/tex]
5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.
Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)
c = 5j
c + j = 18
5j + j = 18
6j = 18
j = 3
c = 5(3) = 15
Answer: Carole is 15, Joe is 3
Answer:
Joe is 3 and Carole's age is 15
Step-by-step explanation:
Joe: x
Carole: 5x
5x+x=18
6x=18
x=3
The expression (3x2 + 2xy + 7) − (6x2 − 4xy + 3) is Equivalent to −3x2 − 2xy + 4 3x2 − 2xy + 4 −3x2 + 6xy + 4 3x2 − 6xy − 4
Answer:
[tex]-3x^2+6xy+4[/tex]
Step-by-step explanation:
[tex](3x^2+2xy+7)-(6x^2-4xy+3)=\\\\3x^2-6x^2+2xy+4xy+7-3=\\\\-3x^2+6xy+4[/tex]
Hope this helps!
Answer:
3x2-6xy
Step-by-step explanation:
I think i dont know
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?
Answer:
£14,168
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
-8/3
Step-by-step explanation:
find slope
(-1,5) ( 2,-3 )
(-3 -5)/( 2-(-1)) = -8/3
3x+4+3=40 i need help very fast
Answer:
x = 11
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
3x11 = 33
4+3 = 7
33 + 7 = 40
Find the measurement which is most accurate to 45.76 kg.
A. 45.77 kg
B. 45.78 kg
C. 45.79 kg
D. 45.81 kg
Answer:
A. 45.77 kg
Step-by-step explanation:
The measurement with the smallest difference from 45.76 is 45.77 kg.
what is the side length of a cube with a volume of 166 yd^3
Answer: 5.5 yd
Step-by-step explanation:
To find the side length of the cube, the volume is a clue. We know that all sides of a square are equal, and the volume of a cube is length×width×height. Since the length, width and height are all the same, we know it is V=x³. Since we know the volume, we can plug in and solve for x.
166=x³
In order to get x alone, we have to cube root both sides.
x≈5.5 yd
This table gives a few (2, y) pairs of a line in the coordinate plane.
y
-21
-64
- 15
-48
-9
-32
What is the x-intercept of the line?
Answer:
(3,0)
Step-by-step explanation:
I will mark you brainliest!!! Select the answer that includes the correct explanation.
Answer:
Linear. The choice A is correct.
Step-by-step explanation:
What is the Y-INTERCEPT from the equation? y=5x + 12*
A) 5
B) 12
Answer:
B-12
Step-by-step explanation:
Answer:
B) 12
Step-by-step explanation:
Set x equal to zero and you get y= 12
Como medir la altura de un arbol usando el teorema de thales
Answer:
????
Step-by-step explanation:
A pilot is flying from Thunder Bay, Ontario to Dryden, Ontario a distance of approximately 320 km. As the plane leaves Thunder Bay, it flys 20° off course for exactly 80 km. After flying off-course how far is the plane from Dryden?
Answer: The plane is 246.4 kilometres from Dryden (approximately)
Step-by-step explanation: Please refer to the picture attached for further details.
The pilot was meant to fly from Thunder Bay which is marked as point T to Dryden which is marked as point D. The distance is given as approximately 320 kilometres as shown.
However upon departure, the pilot goes off course at an angle of 20 degrees and flies for 80 kilometres. When he has traveled for exactly 80 kilometres, he would find himself at point P as shown in the diagram. The plane which is now at point P, is t kilometres from Dryden (point D). To calculate the distance t, we shall apply the cosine formula, having been given two sides and an angle between.
The cosine rule states as follows;
c² = a² + b² - 2abCosC
Substituting for the given variables in this question, the formula can be expressed as follows;
t² = d² + p² - 2dpCosT
Substituting for the known values, we now have,
t² = 80² + 320² - 2(80*320)Cos20
t² = 6400 + 102400 - 2(25600)0.9396
t² = 108800 - (51200) * 0.9396
t² = 108800 - 48107.52
t² = 60692.48
Add the square root sign to both sides of the equation
√t² = √60692.48
t = 246.3584
t ≈ 246.4
Therefore, the plane is approximately 246.4 kilometres from Dryden.
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
The inverse function h(x) = 4x + 48
Step-by-step explanation:
Here, we want to find the inverse of a function
The function is;
f(x) = x/4 -12
now, let this value equals m
so;
m = x/4 -12
we now try and make x the subject formula and this gives us the inverse.
m = (x-48)/4
4m = x -48
x = 4m + 48
substitute m for x
which implies 4x + 48
This is the inverse of the function
Answer:
D. h(x) = 4x + 48
Find the values of x and y.
Answer:
[tex] \boxed{x = 15,y = 17} [/tex]
Step-by-step explanation:
[tex]Vertically \: opposite \: angles \: area \: equal \\ \\ So, \\ \\ = > 7x \degree + 7\degree = 112\degree \\ \\ = > 7x\degree = 112\degree - 7\degree \\ \\ = > 7x\degree = 105\degree \\ \\ = > x\degree = \frac{105}{7} \degree \\ \\ = > x\degree = 15\degree \\ \\ \\ \\ Supplementary \: angles \: add \: up \: to \: 180 \degree \\ \\ So, \\ \\ = >4y\degree + 112\degree = 180\degree \\ \\ = > 4y\degree = 180\degree - 112\degree \\ \\ = > 4y\degree = 68\degree \\ \\ = > y \degree= \frac{68}{4} \degree \\ \\ = > y\degree = 17\degree[/tex]
Find the values of x and y.
Step-by-step explanation:
C : x = 17,y = 15
A rectangular prism has a volume of 5x2 + 45x-180.
Its base has a length of x-3 and a width of 5.
Which expression represents the height of the prism?
1) x-3
2) x² + 9x-36
3) X-9
4) x+12
A classroom has a total of 26 students, 13 Students in the classroom are females and the rest are males. 5 males students have long hair and 9 female students wear glasses. A Student is called to the principal's office. What is the probability that the student being called is female and does not wear glasses. Explain your answer...
Answer:
15%
Step-by-step explanation:
There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%
Debra wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 15 inches by 7 inches by 9 inches. She has 1 square yard of fabric. Can she completely cover the footrest? Explain.
Answer:
Yes, she can.
Step-by-step explanation:
We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.
The surface area of a rectangular prism is given as:
A=2(wl+hl+hw)
where w = width, l = length, h = height
The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:
A = 2[(7 * 15) + (9 * 15) + (9 * 7)]
A = 2[105 + 135 + 63]
A = 2 * 303 = 606 square inches
1 square inch = 0.000771605 square yards
=> 606 square inches = 606 * 0.000771605 = 0.468 square yards
Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.
How is the product of 4 and 2 shown using integer tiles? 4 positive tiles and 2 positive tiles. 4 negative tiles and 2 negative tiles. 4 sets of 2 positive tiles. 4 sets of 2 negative tiles. Plz i need help
Answer: 4 sets of 2 positive tiles.
Step-by-step explanation:
We have the product of 4 and 2.
We can represent this as:
4 is equivalent to 4 positive tiles.
if we multiplicate it by 2, then we must have 2 sets of 4 positive tiles.
Another example is using 2 positive tiles to represent the 2.
So when we multiply it by 4, we end with 4 sets of 2 positive tiles.
This is because the order of the factors does not change the product.
Then, from the given options, the correct one is:
4 sets of 2 positive tiles.
Answer:
C on edge 2021
Explanation:
4 groups of 2
[+] [+] [+] [+] [+] [+] [+] [+]
The total time that Ken and Bob worked in a week was 63 hours. Ken worked 36 hours. What is the ratio of Bob's working hours to Ken and Bob's total working hours?
Answer:
33
Step-by-step explanation:
beacause you have to minus to find th aspect ratio I beleive.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
34/50 = 68%
14/20 = 70%
answer: the German test
can i get brainliest?
Answer:34/50 = 68%
14/20 = 70%
Step-by-step explanation:mark me as brainest and vote for me plssss
why is x^2-8x+20 always positive?
Answer:
cause it is
Step-by-step explanation:
it just is, sorry i can't help. maybe bc there are more positive functions then negative ones?
The probability of an event is 1. What do you know about the event?
The probability of another event is 0.
What do you know about this event?
Answer: A probability of 1 means the event is certain to happen. A probably of zero means the event is certain not to happen.
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh sorry needed points
Find S20 of the series whose first terms are:
30, 22, 14, 6, ...
Answer:
- 920
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
d = 22- 30 = 14 - 22 = 6 - 14 = - 8
This indicates the sequence is arithmetic with sum to n terms given by
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 30 and d = - 8 , thus
[tex]S_{20}[/tex] = [tex]\frac{20}{2}[/tex] [ (2 × 30) + (19 × - 8) ]
= 10(60 - 152)
= 10 × - 92
= - 920
This is probably very easy but I totally forgot (look at picture)
Answer:
I hope ive done this correctly
Fixed, i see where i went wrong, i done it backwards
Step-by-step explanation:
Please help!!!
a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?
Answer:
1 : 80
Step-by-step explanation:
So you want to check Length of model : Length of real boat
50 cm : 40 m
But since the units don't match, make 40 m into 4000 cm
50 cm : 4000 cm
Divide both sides by 50 and you get
1 : 80
Angle BCD is a circumscribed angle of circle A. Angle BCA measures 40°. What is the measure of minor arc BD?
Answer:
100°
Step-by-step explanation:
From the image attached, line BC and line CD are tangents to circle A. Also, AB and AD are the radius of the circle. The tangent theorem states that the angle between a tangent and the radius is 90°. Therefore:
∠ABC and ∠ADC = 90°.
Given triangle ABC:
∠ABC + ∠BCA + ∠CAB = 180°
∠CAB = 180 - ∠ABC - ∠BCA = 180 - 90 - 40 = 50
∠CAB = 50°
From the two tangent theorem, tangents that meet at the same point have the same length. This means BC = CD, ∠ACD = ∠BCA, ∠CAB = ∠CAD.
arc BD = ∠CAB + ∠CAD = 50 + 50
arc BD = 100°
Answer:
D.
Step-by-step explanation:
If m<2 BOE = 130° and m< COB = 80º,
find the measure of the indicated arc
in circle 0.
mCBE =
Answer:
The answer is 210°.
Step-by-step explanation:
Given that ∠BOE = 130° and ∠COB is 80°. So in order to find ∠CBE, you have to add up together :
∠CBE = ∠BOE + ∠COB
∠CBE = 130° + 80°
∠CBE = 210°
(Correct me if I am wrong)
please see the attached picture...
Hope it helps...
Good luck on your assignment...
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 543
Answer:
Step-by-step explanation:
I use 84+ CE
stat edit, then fill in the #s
then
vars 5
then
2'nd stat plot, on
then, click stat
Click arrow 1 time to the left to get to Calc
then click (4)(LinReg(ax+b))
then click enter 5 times
(y=-25.31428571x+1000.285714
y=-25.3x+1000.3
now, lets use computer:
y=-25.31(543)+1000.3
y=-12743.03
round to the biggest whole number )
this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing
now I get
y=-25.31428571x+51603.54286
y=-25.3x+51603.5
now, lets use computer:
y=-25.3(543)+51603.5
y=37865.6
round to the biggest whole number:
y=37866
so, year 37866
Using the line of best-fit, it is found that:
The linear regression model is [tex]y = -25.31x + 1000[/tex]The estimate is that the number of cases would reach 543 in the year of 2026.---------------------
The line of best-fit is given by:
[tex]y = bx + a[/tex]
The slope is:[tex]b = \frac{\sum (x - \overline{x})(y - \overline{y})}{\sum (x - \overline{x})^2}[/tex]
After the slope is found, using the means for x and y, the coefficient a is found.---------------------
The means are given by:
[tex]\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5[/tex]
[tex]\overline{y} = \frac{1015 + 960 + 950 + 902 + 929 + 866}{6} = 937[/tex]
---------------------
The sums are:
[tex]\sum (x - \overline{x}) = (0 - 2.5) + (1 - 2.5) + ... + (5 - 2.5)[/tex]
[tex]\sum (y - \overline{y}) = (1015 - 937) + ... + (866 - 937)[/tex]
Using a calculator:
[tex]\sum (x - \overline{x})(y - \overline{y}) = -443[/tex]
[tex]\sum (x - \overline{x})^2 = 17.5[/tex]
Thus, the slope is:
[tex]b = -\frac{443}{17.5} = -25.31[/tex]
And
[tex]y = -25.31x + a[/tex]
---------------------
Using the means to find a:
[tex]y = -25.31x + a[/tex]
[tex]937 = -25.31(2.5) + a[/tex]
[tex]a = 1000[/tex]
Thus, the linear regression model is:
[tex]y = -25.31x + 1000[/tex]
---------------------
The number of cases would reach 543 in x years after 2008, and x is found when y = 543. Thus:
[tex]y = -25.31x + 1000[/tex]
[tex]543 = -25.31x + 1000[/tex]
[tex]25.31x = 1000 - 543[/tex]
[tex]x = \frac{1000 - 543}{25.31}[/tex]
[tex]x = 18.1[/tex]
2008 + 18 = 2026
The estimate is that the number of cases would reach 543 in the year of 2026.
A similar problem is given at https://brainly.com/question/21826199