Answer:
2/5
Step-by-step explanation:
Since we have two points on the line, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7-5)/(9 - 4)
= 2/5
The ratio of Luke's age to Jack's age is 3:2. If Luke is 36, how old is Jack?
Answer:
Jack is 24
Step-by-step explanation:
Luke : jack
3 2
We know like is 36
3*12 = 36, so we need to multiply by 12
Luke : jack
3*12 2*12
36 24
Answer:
24
Step-by-step explanation
Notice that Luke's real age is 12 times the number in the ratio, which is a simplified version of the original ratio, where they used division by 12 on both sides to get 3:2. Just do the opposite of division, which is multiplication, and multiply both sides of the ratio to get 36:24, which means that Jack is 24 years old!
Hope this helped you!
C=(7,-4) and D= (-8,5) CD=?
Answer:
Step-by-step explanation:
[tex]x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}[/tex]
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}[/tex]
In ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°. Find the area of ΔNOP, to the nearest square inch.
Answer:
552
Step-by-step explanation:
Area of a Triangle→S.A.S.
Area=1/2 ab sin C
area = 1/2 (64)(83) sin 168
area=552.213=552
If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.
The length of two sides and an angle is given.
So we can use SAS postulate
The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
Area of a Triangle
Area=1/2 absin C
area = 1/2 (64)(83) sin 168
area =2656 sin 168
area=552.213=552
Hence area of ΔNOP, to the nearest square inch is 552 square inch
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For the given corporate bond, whose annual simple interest rate is provided, find the
semiannual simple interest payment and the total interest earned over the life of the bond. As soon 365 days in a year.
$5200 company A, 30 year bond, 6.273%
Answer:
reagain and none that I know about the other day and none that I know that you are
Deposits into a bank account are represented by positive numbers. Withdrawals from the
account are represented by negative numbers. Which amount represents a withdrawal of
less than $200 ?
$150
$-250
$250
$-150
[tex] \red{answer}[/tex]
$-150
Wat is the slope of the line that passes through the points 3,1) and (-2,5)
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m=\boxed{-\frac{4}{5}}[/tex]
»»————- ★ ————-««
Here’s why:
We can use the slope formula to find the slope of the two points given.⸻⸻⸻⸻
[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which phrase best describes f(x), graphed on the coordinate plane below?
A.f(x) is an odd function.
B. f(x) is an even function.
C. f(x) is both odd and even.
D. f(x) is neither odd nor even.
Answer:
D
Step-by-step explanation:
A cube has a side length of 5a^2b^4. What is the volume?
Answer:
(5a²b^4)³
Step-by-step explanation:
Volume=length*breadth*height
∴Volume=5a²b^4*5a²b^4*5a²b^4
∴Volume of the cube=(5a²b^4)³
Hope it helps you!
Pls mark as Brainliest
solve for x. round to the nearest tenth if necessary
9514 1404 393
Answer:
13.6
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(29°) = 6.6/x
x = 6.6/sin(29°) . . . . . . multiply by x/sin(29°)
x ≈ 13.6
Answer:
X= 13.6Step-by-step explanation:
hope it helps much
A manufacturer has determined that for every 1000 units it produces, 3 will be faulty. What is the probability that an order of 50 units will have one or more faulty units
Answer:
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Step-by-step explanation:
Mean for a number of units, which means that the Poisson distribution is used to solve this question.
Poisson Distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Mean:
3 defective for 1000, how many for 50?
3 - 1000
[tex]\mu[/tex] - 50
Applying cross multiplication:
[tex]\mu = \frac{3*50}{1000} = 0.15[/tex]
What is the probability that an order of 50 units will have one or more faulty units?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.15}*(0.15)^{0}}{(0)!} = 0.8607[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8607 = 0.1393[/tex]
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Which table represents a linear function?
Answer:
The third option
Step-by-step explanation:
The slope is a constant linear slope of 8
A different children's party cost £225.50 How many children were at the party?
What is the equation of the line that passes through the given point and is perpendicular to the given line?
Point: (1,1)
Line: y=1/5x+4/5
Step-by-step explanation:
Hey there!
The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}
Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)
Comparing equation (ii) with y= mx+c, we get;
Slope (m2) = 1/5.
Now, As per the condition of perpendicular lines,
m1*m2 = -1
or, m1 * 1/2 = -1
or, m1= -2
Therefore, m1 = -2.
Keeping the value of m1 in equation (i) we get;
y-1 = -2(x-1)
y-1 = -2x+1
or, y+2x-2= 0
Therefore, the required equation is 2x+y-2= 0.
Hope it helps!
r/7.1 = 4.2
what is r =
Answer:
r =29.82
Step-by-step explanation:
r/7.1 = 4.2
Multiply each side by 7.1
r/7.1 *7.1 = 4.2*7.1
r =29.82
eleven more than the square of a number n added to the difference between the number and fifteen
Answer:
n^2 + 11 + (n - 15)
Step-by-step explanation:
eleven more than the square of a number n added to the difference between the number and fifteen
___ + 11
eleven more than the square of a number n added to the difference between the number and fifteen
n^2 + 11
eleven more than the square of a number n added to the difference between the number and fifteen
n^2 + 11 + (n - 15)
5/4 to the 3rd power
Answer:
1.953125 is the answer I believe
or 125/64
or 1 61/64
What is the probability of choosing 2 red marbles and one black marble from a bag containing 7 black marbles, 8 red marbles & 10 blue marbles
Answer:
The probability would be 3/25
Given the following hydrogen ion concentration, determine if the solution
is acidic, basic, or neutral.
[H*] is 2.7 x 10-9 M
Answer:
The solution is basic.
Step-by-step explanation:
Applying,
pH = -log(H⁺)................. Equation 1
From the question,
Given: (H⁺) = 2.7×10⁻⁹ M
substitute these value into equation 1
pH = -log(2.7×10⁻⁹)
pH = 8.57 M.
pH scale
For acidity = 0-6
For neutrality = 7
For basicity = 8-14
From the above calculation,
The solution is basic.
what is the ratio of 54:27 it the simplest form
Answer:
21
Step-by-step explanation:
Answer:
2 : 1
Step-by-step explanation:
54:27
Divide each side by 27
54/27:27/27
2 : 1
Find the length of x, round too the nearest tenth
Answer:
Step-by-step explanation:
take 66 degree as reference angle
using sin rule
sin 66=opposite/hypotenuse
0.91=x/16
0.91*16=x
14.56=x
14.6=x (after converting it to nearst tenth)
What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent. O A. 27.3% O B. 10.9% O C. 21.9% O D. 3.1% SUBMIT
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
Answer: 10.9
Step-by-step explanation
Pls help, will mark brainliest!
Answer:
x=45
Step-by-step explanation:
this should be right
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
12
16
Answer here
Pythagorean theorem. A^2+B^2=C^2.
So 12^2+16^2=c^2
144+256=c^2
400=c^2
square root of 400=c
So C=20
Hit the heart if it was helpful :D
Step-by-step explanation:
Write what you know
Pythagorean theorum
a^2 + b^2 = c^2
rearrange and solve for c
sqrt(a^2 + b^2) = c
plug and chug
Simplify the expression. 1−(sec2x−tan2x)
Answer: 1
−
1
(
s
e
c
2
−
1
t
a
n
2
)
Step-by-step explanation:
G varies inversely with the square
of H. When H is 4, G is 0.25.
Find the value of G when H is 0.3.
Answer:;4.4
Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.
Answer:
G = 44.44
Step-by-step explanation:
Given the mathematical expression and data;
[tex] G = \frac {1}{H^{2}} [/tex]
H = 4 and G = 0.25
First of all, we would determine the constant of proportionality, k.
[tex] G = \frac {k}{H^{2}} [/tex]
Making k the subject of formula, we have;
k = GH²
Substituting the values, we have;
k = 0.25 * 4²
k = 0.25 * 16
k = 4
Next, we find the value of G when H = 0.3;
[tex] G = \frac {k}{H^{2}} [/tex]
[tex] G = \frac {4}{0.3^{2}} [/tex]
[tex] G = \frac {4}{0.09} [/tex]
G = 44.44
2 apples plus 2 apples
Answer:
4 apples
Step-by-step explanation:
2 + 2 = 4
Hope this helps!
Good Luck!
:)
If you can, please mark me bralinest
2 + 2 = 4
Answer = 4 apples
hope this helped :)
Which is the better buy?
1 lb of apples for $1.98 or
3 lb for $6.95
Answer:
lb of apples for $1.98
Let point C be the center of the circle below. What is the
approximate length of minor arc XZ? Answers are in inches.
NEED ANSWER ASAP please, check the picture
Answer:
8.58
Step-by-step explanation:
the length of minor arc XZ
= 82/360 × 2 × 3.14 × 6
= 8.58 in
Complete the statement. [Type your answer as a number.]
7 pounds × 16 ounces
Answer:
1792
Step-by-step explanation:
1 pound = 16 ounces
7 x 16 x 16
= 7 x 16^2
= 7 x 256
= 1792
Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)
The correct answer is vertex of the graph D. (0, 2).
To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).
Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.
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