Answer:
x=100
Step-by-step explanation:
Since m is parallel to n and p is parallel to q
Which of the following is(are) the solution(s) to |15x + 2 |= 8 ?
Hi!
[tex]|15x+2|=8\\\\\\15x+2=8\\15x=8-2\\15x=6 \ \ |:15\\\boxed{x_1=0,4}\\\\\\15x+2=-8\\15x=-8-2\\15x=-10 \ \ |:15\\\boxed{x_2=-\frac{2}{3}}[/tex]
Answer:
x = 2/5 x = -2/3
Step-by-step explanation:
|15x + 2 |= 8
There are two solutions, one positive and one negative
15x + 2 = 8 and 15x + 2 = -8
Subtract 2 from each side
15x + 2-2 = 8-2 and 15x + 2-2 = -8-2
15x = 6 15x = -10
Divide by 15
15x/15 = 6/15 15x /15 = -10/15
x = 2/5 x = -2/3
the circumference of a circle is 11pi ft. find its diameter, in feet
Answer:
The diameter would be 11 feet
Step-by-step explanation:
C = pi * d
we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:
C/pi = d
Now we plug in everything
11pi/pi = d
The pi cancel each other out leaving with 11 feet
Therefore D = 11 feet
what should I do?
in the picture
The expression has y and x variables in denumerator and numerator, these variables will form the results as y^1/2 / x^3/2.
This expression is given in choice A.
The correct expression will place the y in denomerator with change in power sign in the numerator and x value will become in denomerator form the expression under root power 3 over 2.
Learn more at https://brainly.com/question/24378446
what is the answer to
(35+5)[16+(12÷ 4)]
Hi there!
»»————- ★ ————-««
I believe your answer is:
760
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The volume of a prism with side lengths measured in millimeters is 20. How could this measurement be written? Check all that apply.
20 millimeters
20 mm3
20 mm2
20 square millimeters
20 cubic millimeters
Answer:
20 mm^3, 20 cubic millimeters
Step-by-step explanation:
The volume of a prism is length times width times height.
Length, width, and height can have units of mm.
mm * mm * mm = mm^3
The units of a volume must be cubic units.
Answer: 20 mm^3, 20 cubic millimeters
Which of the following best describes when a relation is a function?
O A. Each element in the domain is the same as each element in the
range.
O B. Each element in the domain is twice the size of each element in
the range.
C. Each element in the domain is paired with just one element in the
range.
O D. Each element in the domain is paired with at least one element in
the range.
Answer:
Step-by-step explanation:
The answer is C.
That's another way of using the vertical line test. Put a ruler perpendicular to the x axis and going through a point. If the ruler hits only one point, then then if all the points plotted do the same thing, then the points make a function.
C says the same thing. Only 1 element in the domain (x) can be associated with 1 y value (the range). If there is more than 1 y value, then you do not have a function.
=X square there is written at the end
Answer:
see explanation
Step-by-step explanation:
[tex]\frac{pq+1}{9}[/tex]
= [tex]\frac{(3x+1)(3x-1)+1}{9}[/tex]
= [tex]\frac{9x^2- 1+1}{9}[/tex]
= [tex]\frac{9x^2}{9}[/tex]
= x²
Answer:
Hello,
Step-by-step explanation:
[tex]Using\ the\ formula\ (a+b)(a-b)=a^2-b^2\\p=3x+1\\q=3x-1\\\\p*q=(3x+1)*(3x-1)=9x²-1\\\\p*q+1=9x^2\\\\x^2=\dfrac{p*q+1}{9} \\[/tex]
Question 8 If f (2) = (1 + 3) and g (2) VO+ 7, find g (f (x)). 9(f()) = 1 + 10 O g(f ()) = VI + 3 +7 Og(f (x)) = v= + 10 Og(f (2)) = 2? + 10
Answer:
x+10
Step-by-step explanation:
f(x) = (x+3)^2 and g(x) = sqrt(x)+7
g(f(x)) =
Replace f(x) in for x in the function g(x)
= sqrt((x+3)^2)+7
= x+3 +7
= x+10
A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?
Answer:
The speed of the balloon is 0.16 m/s.
Step-by-step explanation:
CD = 300 m
Let AD = x
AB = y
time, t = 3 min
Triangle, ADC
[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]
Triangle, BCD
[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]
So, y = 109.2 - 80.4 = 28.8 m
Speed = 28.8/180 = 0.16 m/s
Helppp plssss help meeee
Answer:
C. $1,260
Step-by-step explanation:
80 × 14.5 = 1,160
2,500 × 0.04 = 100
Answer:
C. $1260
Step-by-step explanation:
Kenya solved the equation below. Negative 6 (x minus 2) + 3 x = negative 3 (x + 3) + 21 What is the solution to Kenya's equation? –4 12 no solution infinitely many solutions
Answer: No solution
Step-by-step explanation:
-6(x - 2) + 3x = -3(x + 3) + 21
-6x + 12 + 3x = -3x - 9 + 21
Collect like terms
-6x + 3x + 3x = -9 + 21 - 12
-6x + 6x = - 9 + 9
0 = 0
In this scenario, it can be deduced that there is no solution to Kenya's equation.
Answer:
infinitely many solutions
Step-by-step explanation:
i got it right
Edwin works at a fast-food restaurant. Every Tuesday, he helps unload a delivery truck. This
table shows how many boxes of hamburger buns and how many boxes of potatoes he
unloaded last Tuesday,
What is the weight of each box?
Answer:
Each box of buns weighs 18 pounds and each box of potatoes weighs 35 pounds
Step-by-step explanation:
Let's say each bun box weighs b pounds and each potato box weighs p pounds. For each box of buns, we add b pounds. Therefore, for 40 boxes of buns, we add 40 * b pounds. Similarly, for 35 boxes of potatoes, we add 35 * p pounds.
For Tuesday, the total weight of the buns boxes is equal to 40 * b. The total weight of the potato boxes is equal to 35 * p. Adding these two together, we get the total weight of the boxes to be equal to
40 * b + 35 * p = 1945
For Friday, we can apply similar techniques to get
60 * b + 70 * p = 3530
We therefore have the two equations
40 * b + 35 * p = 1945
60 * b + 70 * p = 3530
One way to solve this would be to convert this into a matrix and use Guass-Jordan Elimination. With the amount of bun boxes representing the first column, the amount of potato boxes representing the second, and the total weight of each day representing the third, we have
[tex]\left[\begin{array}{ccc}40&35&1945\\60&70&3530\end{array}\right][/tex]
One thing that we can do here is multiply the first row by -2 and add it to the second. That way, there would be a 0 in the 2nd column in the 2nd row, making an equation of the form
something * b = something else, enabling us to solve for b.
We thus have
[tex]\left[\begin{array}{ccc}40&35&1945\\(-40*2+60)&(-35*2+70)&(-1945*2 +3530)\end{array}\right] = \left[\begin{array}{ccc}40&35&1945\\-20&0&-360\end{array}\right][/tex]
Therefore, we can say that
-20 * b = -360
divide both sides by 20 to isolate b
b = 18
Therefore, each box of bunds weighs 18 pounds. Plugging that into an equation, we have
40 * b + 35 * p = 1945
40 * 18 + 35 * p = 1945
720 + 35 * p = 1945
subtract 720 from both sides to isolate the p and its coefficient
1225 = 35 * p
divide both sides by 35 to isolate p
p = 35
Therefore, each box of potatoes weighs 35 pounds
I don’t know how know if it a -,+ am confused on how you measure
Answer:
-
Step-by-step explanation:
Will give us many points as possible thank you very much
Answer:
27 1/2 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = 5 * 5 1/2
Change to an improper fraction
A = 5 * (2*5+1)/2
A = 5*11/2
A = 55/2
Change back to a mixed number
A = 27 1/2
Will Mark Brainlest helpppp
Answer:
R = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]
Step-by-step explanation:
P - Q + R = I ( I is the identity matrix )
[tex]\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] ( subtract corresponding elements )
[tex]\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]
After getting RM24 from his mother, Samuel had 3 times as much as he had previously. How much did he have previously?
Answer:
Samuel had RM8 previously
Step-by-step explanation:
24÷3=8
How many solutions does this equation have x^4 - 6x^2 -7 = 0
Answer:
2 solutions
Step-by-step explanation:
x^4-6x^2-7=0
Replace x^2 by y
(x^2)^2-6x^2-7=0
y^2-6y-7=0
D=b^2-4ac= (-6)^2-4*1*(-7)= 36+28=64
sqrtD=8
y1=(-b-sqrtD)/2a=-2/2=-1
y2= (-b+sqrtD)/2a=14/2=7
x^2=-1(n0 roots) x^2=7 x=sqrt7 or x=-sqrt7
2 roots
AB←→||CD←→. Find the measure of ∠BFG.
Answer:
Value of ∠ BFG = 135°
Step-by-step explanation:
Given:
AB || CD
∠ AFG = (3x + 15)°
∠ FGD = (5x - 5)°
Find:
∠ BFG
Computation:
We know that;
∠ AFG = ∠ FGD
3x + 15 = 5x - 5
3x - 5x = - 5 - 15
- 2x = - 20
2x = 20
x = 10
Value of ∠ AFG = 3x + 15
Value of ∠ AFG = 3(10) + 15
Value of ∠ AFG = 45°
∠ BFG = 180° - Value of ∠ AFG
∠ BFG = 180° - 45°
∠ BFG = 135°
Value of ∠ BFG = 135°
Find the measure of the indicated angle.
Answer:
i think it the measured of the indicated angle is 55
For num in range (1,10) : if num is %2 = = 0: print (num)
yfd sat fltfurjbhviccyvihkjobkb 47 I have
A company's stock price flucated over a period of four days. The table shows the change in stock price per day. The net change in the company's stock price over the four days
Answer:
The net change is -.30
Step-by-step explanation:
increase means add
decrease means subtract
+3.50
-3.70
+3.30
-3.40
-------------
-.30
The net change is -.30
plss help me with this :(
Answer:
(k) cos(θ)·√(1 + cot²θ) = √(cosec²θ - 1)
From trigonometric identities, we have;
1 + cot²θ = cosec²θ
On the Left Hand Side of the equation, we get;
cos(θ)·√(1 + cot²θ) = cos(θ) × cosec(θ) = cot(θ)
On the Right Hand Side of the equation, we have;
√(cosec²(θ) - 1) = √(1 + cot²(θ) - 1) = √(cot²(θ)) = cot(θ)
∴ √(cosec²θ - 1) = cot(θ)
By transitive property of equality, therefore;
cos(θ)·√(1 + cot²θ) = √(cosec²θ - 1)
(l) sin⁶A + cos⁶A = 1 - 3·sin²A·cos²A
sin⁶A + cos⁶A = (sin²A)³ + (cos²A)³
(sin²A)³ + (cos²A)³ = ((sin²A) + (cos²A))³ - 3·((sin²A)·(cos²A))·((sin²A) + (cos²A))
∴ (sin²A)³ + (cos²A)³ = (1)³ - 3·((sin²A)·(cos²A))·(1) = 1 - 3·((sin²A)·(cos²A))
sin⁶A + cos⁶A = (sin²A)³ + (cos²A)³ = 1 - 3·((sin²A)·(cos²A))
sin⁶A + cos⁶A = 1 - 3·((sin²A)·(cos²A))
(m) (sinA - cosecA)² + (cosA - secA)² = cot²A + tan²A - 1
(sinA - cosecA)² = sin²A - 2×sinA×cosecA + cosec²A = sin²A - 2 + cosec²A
(cosA - secA)² = cos²A - 2×cosA×secA + sec²A = cos²A - 2 + sec²A
∴ (sinA - cosecA)² + (cosA - secA)² = sin²A - 2 + cosec²A + cos²A - 2 + sec²A
Where;
sin²A - 2 + cosec²A + cos²A - 2 + sec²A = sin²A + cos²A - 2 - 2 + cosec²A + sec²A
sin²A + cos²A - 2 - 2 + cosec²A + sec²A = 1 - 4 + cosec²A + sec²A
1 - 4 + cosec²A + sec²A = cosec²A + sec²A - 3
Where;
cosec²A = cot²A + 1
sec²A = tan²A + 1
∴ cosec²A + sec²A - 3 = cot²A + 1 + tan²A + 1 - 3 = cot²A + tan²A - 1 = The Right Hand Side of the equation
∴ (sinA - cosecA)² + (cosA - secA)² = cot²A + tan²A - 1
(n) [tex]\sqrt{1 - 2\cdot siaA\cdot cosA}[/tex] = sinA - cosA
Squaring the Right Hand Side of the equation, we get;
(sinA - cosA)² = sin²A -2·sinA·cosA + cos²A = sin²A + cos²A -2·sinA·cosA
sin²A + cos²A -2·sinA·cosA = 1 - 2·sinA·cosA
∴ (sinA - cosA)² = 1 - 2·sinA·cosA
Taking the square root of both sides gives;
√((sinA - cosA)²) = [tex]\sqrt{1 - 2\cdot siaA\cdot cosA}[/tex]
∴ sinA - cosA = [tex]\sqrt{1 - 2\cdot siaA\cdot cosA}[/tex]
By symmetric property of equality, we have;
[tex]\sqrt{1 - 2\cdot siaA\cdot cosA}[/tex] = sinA - cosA
Step-by-step explanation:
What are the solutions to the system of equations?
{y=x²−4x+8
y=2x+3
Answer:
x = 1, y = 5
x = 5, y = 13
Step-by-step explanation:
y = x² − 4x + 8 .......(1)
y = 2x + 3 .......(2)
Substitute the value of y in equation 2 into equation 1
y = x² − 4x + 8
y = 2x + 3
x² − 4x + 8 = 2x + 3
Rearrange
x² − 4x − 2x + 8 − 3 = 0
x² − 6x + 5 = 0
Solve by factorization
Find the product you x² and 5. The result is 5x²
Find the factors of 5x² such that their sum will result in −6x. The factors are −x and −5x.
Replace −6x in the equation above with −x and −5x. This is illustrated below:
x² − x − 5x + 5 = 0
x(x − 1) − 5(x − 1) = 0
(x − 1)(x − 5) = 0
x − 1 = 0 or x − 5 = 0
x = 1 or x = 5
Substitute the value of x into equation 2 to obtain the value of y.
y = 2x + 3
x = 1
y = 2(1) + 3
y = 2 + 3
y = 5
x = 5
y = 2x + 3
y = 2(5) + 3
y = 10 + 3
y = 13
SUMMARY:
x = 1, y = 5
x = 5, y = 13
Instructions: Given the following coordinates complete the glide reflection
transformation.
A(-9,-2)
B(-9,-5)
C(-5,-4)
Transformation: Reflection over the y-axis and a translation of shifting up 5 units
Answer:
A(9,3)
B(9,0)
C(5,1)
Step-by-step explanation:
Which of the following characteristics best describes the given function of f(x) = 3x - 6?
A) exponential function, always increasing, linear
B) linear absolute value function, always increasing, linear, maximum
C) linear function, always increasing, straight lines, no maximum or minimum
D) exponential function, always decreasing, linear
Answer:
C
Step-by-step explanation:
degree 1 ( linear function
please help with me
Answer:
217
Step-by-step explanation:
53 + 44 + 46 = 143
360 - 143 = 217
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
The distribution is positively skewed.
Step-by-step explanation:
It's not symmetric because the distribution in the chart isn't equally shown or marked. It's not negative skewed either because for it to be negative the graph would have to go down in a negative direction, usually the left, but in the picture you posted the graph is going down in the right direction. Lastly, positively skewed graphs or charts look like the one you posted. They go down in the right direction, hence why they're called "positively" skewed. The right tail of the distribution is longer in positively skewed graphs or charts.
Question 1
Points 2
Find the number in which 8 has the highest value.
6586.34
6568.34
6579.83
6579.38
Step-by-step explanation:
the number which has the highest value as8 is
6586.34
If a and b are parallel and c and d are parallel, which pair of angles are congruent?
A. 1 and 16
B. 5 and 8
C. 9 and 11
D. 12 and 13
What is 7 1 in expanded form
Step-by-step explanation:
70+1
Steps:
write tens and then ones