Answer:
90
Step-by-step explanation:
Factorize x2 + 7x + 12 using middle term break method.
Answer:
(x + 4)(x + 3)
Step-by-step explanation:
x^2 + 7x + 12
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
so we need two number that gives 12 when multiplied and 7 when added
4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12
=x^2 + (4 + 3)x + 12
=x^2 + 4x + 3x + 12
=x(x + 4) + 3(x + 4)
take (x + 4) as common
=(x + 4) (x*1 + 3*1)
=(x + 4)(x + 3)
mmmmm hey can you explain my math?
Answer:On June 17
the explanation is in the picture
One piece of wood has a rectangular bottom that is 30 cm long and 56 mm wide. The block is said to weigh 80 N. Calculate the pressure that the block exerts on the surface
Answer:
4762 N/m^2
Step-by-step explanation:
Find area.
30x5.6=168
Convert to m^2
168cm^2=0.0168m^2
Use pressure formula to get answer
P=F/A
P=80/0.0168
P=4762 N/m^2
What is the area of the polygon given below?
ANSWER:
B. 525 square units
SOLUTION:S= 27+14+9×14+3×7
S= 525
[tex]{{hope it helps}}}[/tex]
Answer:
Option B 525 Square units
Step-by-step explanation:
7x3=21
27x14=378
14x9=126
21+378+126=525
prove that: sin8A/1-cos8A=cot4A
Step-by-step explanation:
Recall the identity
[tex]\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}[/tex]
We can see that
[tex]\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A[/tex]
16 is what percent less than 489?
hope this helps. Please mark me brainliest
Answer:
3.27
16 is what percent of 489? = 3.27.
please help it asks: the graph below represents which of the following functions
Move point b some more as you move point b the angle formed between ab and cd varies if you want to make an perpendicular to cd what do you need to do explain in terms of BEC
Answer:
Following are the response to the given question:
Step-by-step explanation:
Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.
Can someone help with this and help me understand this as well?
Answer:
<K ≅ <N
Step-by-step explanation:
JKL ≅ MNP
That means the angles are the same
<J ≅< M
<K ≅ <N
<L ≅<P
The sides are also congruent
JK ≅ MN
KL ≅ NP
JL ≅ MP
PLEASE ANSWER ASAP
expand and simplify the following:
a) (√6+√3)(√6-√3) b)(√5-√2)(√2+√5)
Answer:
[tex]{ \bf{a).}} \\ { \tt{( \sqrt{6} + \sqrt{3} )( \sqrt{6} - \sqrt{3}) }} \\ { \tt{ = ( { \sqrt{6} )}^{2} - {( \sqrt{3}) }^{2} }} \\ { \tt{ = 6 - 3}} \\ { \tt{ = 3}} \\ \\ { \bf{b).}} \\ { \tt{( \sqrt{5} - \sqrt{2})( \sqrt{2} + \sqrt{5} )}} \\ { \tt{ = ( { \sqrt{5} }^{2}) - { (\sqrt{2} }^{2}) }} \\ { \tt{ = 5 - 2}} \\ { \tt{ = 3}}[/tex]
Answer:
(6-3)(5-2)=3×3=9
Step-by-step explanation:
[tex]x ^{2} - {y}^{2} = (x - y)(x + y)[/tex]
[tex]( \sqrt{6} - \sqrt{3} )( \sqrt{6} + \sqrt{3} ) = ( { \sqrt{6} }^{2} - { \sqrt{3} }^{2} ) = 6 - 3 = 3[/tex]
Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used
to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the
values of x and y?
y=6x, x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.
O y=6x, x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.
y=x+6; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 6.
O y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.
Answer:
y = x + 6
x is any real number greater than or equal to 0,
and y is any real number greater than or equal to 6.
The formula to determine the value of y, or the total amount of flour that Otto used in the recipe, is y=6x.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The correct equation is y = 6 + x, where y is the total amount of flour and x is the amount of white flour used.
The constraints on the values of x and y are x ≥ 0 (because you cannot use negative flour) and y ≥ 6 (because the minimum amount of flour used is 6 cups, and that is when x = 0).
Any real number more than or equal to 0 and any real number higher than or equal to 6 are the restrictions on the values of x and y, respectively.
So the correct answer is: y = x + 6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ7
Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x
=3
=2y−15
x=?
y=?
Step-by-step explanation:
The first president of the United States was
[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]
Answer:
x=9
y=12
Step-by-step explanation:
A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation:
Answer:
compound interest in year 2 is 12.75% than compound interest in year 1. This is because semi annual compounding yield a higher compound interest
Step-by-step explanation:
compound interest = future value - present value
The formula for calculating future value:
FV = P (1 + r/m)^nm
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
compound value in the first year = 80,000(1.1)^1 = 88,000
compound interest = 88,000 - 80,000 = 8,000
compound interest in the second year = 88,000(1 + 0.01/2)^2 = 97,020
compound interest = 97,020 - 88,000 = 9020
Percentage change = (9020 / 8,000) - 1 = 12.75%
Which is equivalent to (square root 10) ^3/4?
Answer:
2nd option
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex](\sqrt[n]{a}) ^{m}[/tex] , then
[tex]\sqrt{10} ^{\frac{3x}{4} }[/tex]
= [tex](\sqrt[4]{10}) ^{3x}[/tex]
In the diagram below, AB = BC, and mZA = 69º. Find mZBCD.
Answer:
∠ BCD = 111°
Step-by-step explanation:
Since AB = BC then the triangle is isosceles and the 2 base angles are congruent.
∠ ACB = ∠ A = 69°
∠ ACB and ∠ BCD are adjacent angles and sum to 180° , that is
∠ BCD + ∠ ACB = 180°
∠ BCD + 69° = 180° ( subtract 69° from both sides )
∠ BCD = 111°
15. In the diagram AB is parallel to CD.
Calculate the value of a.
NOT TO
SCALE
Step-by-step explanation:
sorry can't help u because I can't see any picture
the sum of ages of two brothers A and B is 35 A is two thirds of B's age find their ages
Answer:
let the ages of the brothers be 2x and 3x
2x +3x=35
5x=35
x=35÷5
x=7
now,
A=2x=2×7=14
B=3x=3×7=21
this is the answer
There is a bag filled with 5 blue and 6 red marbles.
Marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
thanks,
Answer:
[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297
Step-by-step explanation:
Answer:
36/121
Step-by-step explanation:
We have 5+6 = 11 marbles
P(red) = number of red/ total = 6/11
We replace the marble so we still have 11 marbles
P(red) = number of red/ total = 6/11
P(red, red) = 6/11*6/11 = 36/121
a freight elevator has a weight limit of 2 tons. Each crate that is loaded weighs 80 pounds. What is the greatest number of crates that can be loaded on to the elevator?
25
500
250
50
Please help meh TvT
Answer:
50 crates
Step-by-step explanation:
First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D
As an estimation we are told £3 is €4.
Convert €28 to pounds.
Hope this helps
Answer:
£21
€28 = £21
The distance required to stop a car varies directly as the square of its speed.if 250 feet are required to stop a car traveling 60 miles per hour, how many feet are required to stop a car traveling 96miles per hour
Answer:
640 feet.
Step-by-step explanation:
Let d represent the distance required to stop and let s represent the speed of the car.
The distance required to stop varies directly as the square of its speed. In other words:
[tex]d=ks^2[/tex]
Where k is the constant of variation.
250 feet are required to stop a car traveling 60 miles per hour. Substitute:
[tex](250)=k(60)^2[/tex]
Simplify and solve for k:
[tex]\displaystyle 3600k=250\Rightarrow k=\frac{250}{3600}=\frac{25}{360}=\frac{5}{72}[/tex]
So, our equation is:
[tex]\displaystyle d=\frac{5}{72}s^2[/tex]
Then the distance required to stop a car traveling 96 miles per hour will be:
[tex]\displaystyle d=\frac{5}{72}(96)^2=\frac{5}{72}(9216)=640\text{ feet}[/tex]
In 2 Year 6 classes, 2/5 of the children are girls. There are 39 boys. How many children are there in the class?
Please Helppp!! 50 Points
Compute the sum
10235
I just typed it in a calculator
the answer is in the above image
Answer:
Step-by-step explanation:
5* (2⁰ + 2¹ + 2 ²+ 2³+ ........+ 2¹⁰)
Sum of geometric series = [tex]a*\frac{r^{n}-1}{r-1}[/tex]
a -> first term = 1
r- ratio = 2
n --> number of terms = 11
5* (2⁰ + 2¹ + 2 ²+ 2³+ ........+ 2¹⁰)=
[tex]5*[1*\frac{2^{11}-1}{2-1}]\\\\=5 *[1*(2048-1)]\\\\= 5 * 2047\\= 10235[/tex]
Find the exact surface area of the figure.
Please help
Sketch the graph of y = (x – 1)2 + 2 and identify the axis of symmetry.
Answer:
The axis of symmetry is (0,0)
Step-by-step explanation:
This is the picture
Troy spends $9.75 on chicken feed
each week. He has 48 chickens and
each chicken lays one egg a day. At
the end of the week, Troy keeps one
dozen eggs for himself and sells the
rest at the farmer's market for $4.00 a
dozen. What is Troy's weekly profit?
A $98.25
B $102.25
© $112
D $192
Answer:
A
Step-by-step explanation:
Total eggs in lay in one week = 48 * 7 = 336
total eggs sold = 336 - 12 = 324
Total dozen = 324 : 12 = 27
Total profit = 27 * 4 = $108
Profit without chicken feed = 108 - 9.75 = $98.25
Pls help
An airplane can Seat up to 175 passengers the airplane has already sold 87 tickets for a flight on the airplane which graph represents the solution to the inequality that find a number of tickets the air line can still sell
Answer:
the third graph is the answer
Answer:
It's A.
Step-by-step explanation:
Since 175-87 is 88, there is 88 or less available tickets left. So it is A.
Hope this helps.
Choose which group of measures would go along with the data set below.
11,13,11,9,8,4,7,7,11,9
1.
Range—4
Mode—8
Median—9
Mean—9
2.
Range—5
Mode—9
Median—7
Mean—7
3.
Range—9
Mode—11
Median—9
Mean—9
4.
Range—12
Mode—8
Median—9
Mean—9
Please give real answers with explaination. 50 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
Step-by-step explanation:
That exterior angle is equal to the sum of the remote interiors, specifically:
2x + 3 = 45 + x + 8 and
x = 50
So the angles inside the triangle...we already know one of them is 45. If x = 50, then x + 8 is 50 + 8 = 58. That means that the third angle is 180 - 45 - 58 which is 77.
The weight Wkg of a metal bar varies jointly as it's length L and the square of it's diameter D mm. If W=140 when D =4 and L=54, find D interm of W and L
Answer:
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Step-by-step explanation:
From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;
W [tex]\alpha[/tex] L[tex]D^{2}[/tex]
W = kL[tex]D^{2}[/tex]
where k is the constant of proportionality.
When W = 140, D = 4 and L = 54, then;
140 = k(54)[tex](4)^{2}[/tex]
= 864k
k = [tex]\frac{140}{864}[/tex]
= [tex]\frac{35}{216}[/tex]
k = [tex]\frac{35}{216}[/tex]
⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]
So that;
35L[tex]D^{2}[/tex] = 216W
[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]