Choose the product of (3x2 + 7)(6x2 – 4x + 5).
A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35
What is the length of side c rounded to the nearest tenth of an inch?
17 in.
19 in.
С
The length of side c rounded to the nearest tenth of an inch is in.
Answer:
Step-by-step explanation:
This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have
[tex]17^2+19^2=c^2[/tex] which simplifies to
[tex]289+361=c^2[/tex] and
[tex]650=c^2[/tex] and
c = 25.5"
A train travels a distance of 120 km at a constant speed of V kmh 1. If the speed
is reduced by 10kmh), then the time taken to the journey is increased by one
hour. Find the constant speed V of train.
Help me please
Answer:
V = 40 km/h
Step-by-step explanation:
Total distance = 120 km
Constant speed of train = V km/h
⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]
Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,
[tex]Speed \times Time = Distance[/tex]
[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]
[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]
[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]
[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]
[tex]=> V^2 - 10V - 1200 = 0[/tex]
Factorise the quadratic equation.
[tex]=> V^2 - 40V + 30V - 1200[/tex]
[tex]=> V(V - 40) + 30(V - 40)[/tex]
[tex]=> (V - 40)(V + 30)[/tex]
[tex]=> V = 40 \: (or) \: -30[/tex]
Speed can't be negative. So , V = 40 km/h
Which expression is equivalent to the following?
[tex]sin^4(x)-cos^4(x)[/tex]
This is basically calculus......
Step-by-step explanation:
[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]
[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]
[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]
[tex] = 2\sin^{2}x - 1[/tex]
[tex] = - \cos2x[/tex]
Note: I used the identity
[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]
for the last step.
PS. I love proving trigonometric identities!
The school has two separate buildings, one is shaped
like a triangle and the other a rhombus. The base of
the triangle is 100 meters and the height is 150
meters, what is the area? The rhombus is a kite shape
with one diagonal 50 meters and the other 40 meters,
what is the area?
Answer:
250 = triangle
90 = rhombus
(i think, its all i know)
Step-by-step explanation:
just use 1/2 x b x h for triangles
and A = l x w for rectangles
The type of book that the students at a middle school prefer to read is shown in the table. Type of Book Number of Students Mystery 45% Science-fiction 35% Non-fiction 5% Fantasy 15% Tanner wants to make a circle graph of the data. How many degrees would be used for the section representing the students who prefer to read fantasy books?
A 15°
B. 27°
C. 45°
D. 54°
E 75°
Solve for the missing side to the tenths place ( ignore the letters labeled on the triangle, they are labeling the angles not the sides)
c=
Answer:
120 broAB ayi dónde es 120 desde A asta B
Given the vertices of M(1, 5) A(-1, 2), T(1, -1) H(3, 2), prove that MATH is a rhombus.
Step-by-step explanation:
i have solved the question
Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amount. Four of the pairs of gloves are mittens. Which expression represents the total cost of the 4 pairs of mittens?
5÷100=x
x=20
100-20=80
80= the total cost of the 4 pairs of mittens
According to the graph, what is the value of the constant in the equation below?
Height= Constant/Width
(4,5) (5,4) (10,2) (20,1)
A. 1
B. 10
C. 5
D. 20
Answer:
20
Step-by-step explanation:
AP EX Confirmed
beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!
Answer:
1 mile in 15 minutes
Step-by-step explanation:
Simply divide 120 by 8
120/8=15
PLZZZZZZZZZZZZZ HELPPPPPPPPP
Answer:
Given, Distributive property, Subtraction Property, Division Property, Prove
Step-by-step explanation:
This is what I think the answer is. So if the answer is wrong than I don't know
The control limits, calculated as three standard deviations from the sample mean, imply that _________ of the sample points are expected to fall between the upper and lower control limits.
Answer: 99.7%
Step-by-step explanation:
A control chart is used in the identification of the assigned causes of variation for a process. The control limits are refered to as the horizontal lines that are below and above the center line which are used in judging whether a particular process is out of control.
In this case, the control limits, which is calculated as three standard deviations from the sample mean, simply means that about 99.7% of the sample points will be expected to fall between upper and lower control limits.
Which is a true statement based on the dot plots below?
10 20 30 40 50 60
10 20 30 40 50 60
Set A
Find the Missing Angle!!!!
can anyone help me ?
Answer:
d
Step-by-step explanation:
The sum of the angles of a triangle is ALWAYS 180 degrees.
What is 3^5 as a product of the same factor?
Answer:
9
Step-by-step explanation:
A line is the locus of points that:
no links please!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]2 < -\frac{x}{3}[/tex]
To "undo" the division, multiply both sides of the inequality by 3.
[tex]6<-x[/tex]
To find x, multiply both sides by -1, remembering that when you multiply (or divide) an inequality by a negative number, you have to switch the direction of the inequality sign (to avoid not telling the truth!!!).
[tex]-6>x[/tex]
Finally, it's a good idea to write the solution so the subject of the math sentence is x, not -6.
[tex]x<-6[/tex]
This isn't some kind of magic. If -6 is bigger than x, then x is smaller than -6.
students who buy tickets at a local movie theater receive a 10% discount on the price of a ticket. what is the total price for the 4 students tickets if the regular cost per ticket is $6.00.
options- $21.60, $26.40, $6.60, or $5.40
Answer:
$21.60
Step-by-step explanation:
Answer:
Answer is $ 21. 60
Step-by-step explanation:
$22 or 21.60 in decimal form
Step-by-step explanation: $6.00 - 10% is 5.4
5.4 + 5.4 +5.4+5.4 is 21.60
you can also round this off and get the answer as $ 22 .
Hope this answer helps you :)
Have a great day
Mark brainliest
The question was not clear for me! Help :(
Answer:
0.1 , 0.2 , 0.05
Step-by-step explanation:
*each column adds to 1*
20 x 1/2 = 10
1/2 x 20 x 0.1 = 1
top left box = 0.1
; 5 x 2 x 0.1 = 1
1/2 x 10 = 5
; 0.2 x 1/2 x 10 = 1
bottom middle box = 0.2
; 5 x 1 x 0.2 = 1
; 2 x 10 x 0.05 = 1
middle right box = 0.05
; 20 x 1 x 0.05
Question 2 (1 point)
If y varies directly as x and y = 3 when x = 12, what is the value of y when x = 18?
Answer:
18/4
Step-by-step explanation:
If y varies directly as x then the equation is y = kx
If y =3 when x = 12 then the equation is 3 = 12k => k = 3/12=> k = 1/4
The value of y when x = 18 is,
y = k *&x
= (1/4) * 18
= 18/4
then the equation is y = 18/4
Find the equation of the circle whose center and radius are given.
center ( 7, -3), radius = 7
Answer:
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
Answer;
(x-7)^2 + (y+3)^2 = 49
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-7)^2 + (y- -3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 7^2
(x-7)^2 + (y+3)^2 = 49
WILL MARK BRAINLIEST PLEASE HELP ASAP !!!
Find the measure of the missing angles.
Answer:
b=70 degree (by vertically opposite angle)
and c can be calculated as
b+c=180°
c=180°-b
c= 180°-70°
c= 110°
hence b=70° and c=110°
List the next three numbers for the sequence:
34, 102, 408, 2040, ...
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440
select all the expressions that are equal to
8(x-24)
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
HELPPPPPPPPPPP MEEEEEE
Answer:
Answer is D
Step-by-step explanation:
ill give brainliest to the correct answer
Answer:
312 inches
Step-by-step explanation:
Surface Area = 2×(8×12 + 8×3 + 12×3) = 312 inches
Answer:
312
Step-by-step explanation:
(12x3)x2=72
(12x8)x2=192
(8x3)x2=48
72+192+48=312
Find the length of the slide board. Round your answer to the nearest tenth place.
Answer:
22.8
Step-by-step explanation:
(18²+14²)½
= 22.8
1.
Tom has a badge collection. He buys more so that his collection increases by 35%.
He originally had 20 badges. How many badges does he
have now?
7%