Answer:
B
Step-by-step explanation:
simplify:
16a^2 ÷ a + 3a × 2
and
8x − 3 + 6x
Answer:
36a and 2x-3.that is the answer
how do i graph this in the image attached?
The value of the equation is P ( 4 , 4 ) , where P is the point of intersection of the equations
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
4x - 2y = 8
Adding 2y on both sides of the equation , we get
2y + 8 = 4x
Subtracting 8 on both sides of the equation , we get
2y = 4x - 8 be equation (1)
Now , let the second equation be represented as B
Now , the value of B is
y = ( 3/2 )x - 2
On simplifying the equation , we get
2y = 3x - 4 be equation (2)
Now , subtracting equation (2) from equation (1) , we get
4x - 8 - ( 3x - 4 ) = 0
4x - 8 - 3x + 4 = 0
x - 4 = 0
Adding 4 on both sides of the equation , we get
x = 4
Substitute the value of x = 4 in equation ( 1 ) , we get
2y = 8
y = 4
So , the value of x = 4 and y = 4
The equations are plotted on the graph and the point of intersection is the solution to the equation , P ( 4 , 4 )
Hence , the equations are solved
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An answer from the smarter
a+7(a+b)-8(a+b)+b???
Answer:
0
Step-by-step explanation:
Given
a + 7(a + b) - 8(a + b) + b ← distribute both parenthesis
= a + 7a + 7b - 8a - 8b + b ← collect like terms
= a + 7a - 8a + 7b - 8b + b
= 0
Answer:
0
Step-by-step explanation:
a+7a+7b-8a-8b+b
combining like terms
a+7a-8a+b+7b-8b
8a-8a+8b-8b
0
If a driver has travelled 180 miles and it took them 3 hours
to make that distance, how fast did they drive? (include the formula)
i need help i dont understand how to solve
By using the concept of depreciation, it can be calculated that
Value of x is 3.6%
What is depreciation?
Depreciation is the exponential decrease in the value of an asset or population or cost of an article at a certain rate over a certain period of time.
Now opposite of depreciation is growth.
Growth is the exponential increase in the value of an asset or population or cost of an article at a certain rate over a certain period of time.
Here concept of depreciation has been used
Number of deer in 2005 = 1480
Rate = x%
Time = 7 years
Number of deer after 7 years = 1141
\(1141 = 1480(1-\frac{x}{100})^7\\(1 - \frac{x}{100})^7 = \frac{1141}{1480}\\(1-\frac{x}{100}) = (\frac{1141}{1480})^{\frac{1}{7}}\\1 - \frac{x}{100} = 0.964\\\frac{x}{100} = 1 - 0.964\\\frac{x}{100} = 0.036\\x = 0.036 \times 100\\\)
x = 3.6 %
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43.11÷13=
451.613÷7=
213.935÷35=
394.352÷4=
Whit explication please
Step-by-step explanation:
a. 3.31615384615
b.64.5161428571
c. 6.11242857143
d. 98.588
Plz HELP with a and b I WILL MARK AS A BRAINLIEST IF YOU CAN HELP ME WITH BOTH A AND B PLZZ
Answer:
a) x = 60
b) b = 110
Step-by-step explanation:
A)
2x and 120 are vertical angles.
vertical angles are equivalent.
2x = 120
divide both sides of the equation by 2
2x/2 = 120/2
x = 120/2
x = 60
B)
b + 20 and 130 are on the same side of the line
(I forgot what the math term is, but they're also equal)
b + 20 = 130
subtract 20 from both sides of the equation
b + 20 - 20 = 130 - 20
b = 130 - 20
b = 110
If Oscar the ostrich travels 215 miles in 5 hours on land, how fast does he travel?
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60% percent of the items on our list," her father says. Anastasia sees 12 items in the cart.
How many grocery items are on the list?
Answer:
Your answer should be 20
Step-by-step explanation:
If the Canadian dollar buys 82¢ in US currency, what would it cost, in Canadian dollars to buy a scooter advertised for $164. 00 in the USA?
HELP ME PLEASE
Answer: 200
Step-by-step explanation:
1 Canadian dollar buys 82c in US
1 dollar = 100c
=> 100 c Canadian = 82c in US
=> 100 Canadian dollar buys 82 dollar in US
Canadian dollar required to buy 82 dollar in US = 100
=> Canadian dollar required to buy 1 dollar in US = 100/82
=> Canadian dollar required to buy 164 dollar in US = 164 x 100/ 82
= 2 x 100
= 200 $
cost 200 in Canadian dollars to buy a Walkman advertised for $164.00 in the USA
Answer please please please
Answer:
1. 18?, 2. 10?, 3. 16?, 4. 36?, 5. 10?, 6. 18?.
Step-by-step explanation:
I'm not sure though your picture was not clear enough and I have quite bad eyesight.
Math question! I don't understand! can I have an explanation?
Answer:
linear monomial
Step-by-step explanation:
please help me with this :D
\( \color{plum}\bold{(C)} \) Diameter of circle P is the same length as the radius of circle Q.
○=> Steps to derive correct option :Given :
Diameter of circle P = 26 cm
Radius of circle P :
\( =\tt \frac{diameter}{2} \)
\( = \tt \frac{26}{2} \)
\(\color{plum} = \tt13 \: cm\)
Thus, radius of circle P = 13 cm
Diameter of circle Q = 52 cm
Radius of circle Q :
\( = \tt \frac{diameter}{2} \)
\( =\tt \frac{52}{2} \)
\( \color{plum}= \tt26 \: cm\)
Thus, radius of circle Q = 26 cm
Radius of circle R = 52 cm
Diameter of circle R :
\( =\tt radius \times 2\)
\( =\tt 52 \times 2\)
\(\color{plum} = \tt104 \: cm\)
Thus, the diameter of circle R = 104 cm
☆ Conclusion :
▪︎Diameter of circle P is the same length as the radius of circle Q.
Therefore, the correct option is (C) Diameter of circle P is the same length as the radius of circle Q.
a polynomial function h(x) has a zero of x = 3 – 4i with a multiplicity of one. certain values of h(x) are given in the following table.
The polynomial function h(x) has a complex zero at x = 3 – 4i with a multiplicity of one. The given table provides certain values of h(x) for various x-values.
A zero of a polynomial function corresponds to the values of x for which the function evaluates to zero. In this case, the zero is x = 3 – 4i, where 4i represents the imaginary unit multiplied by 4. The multiplicity of one indicates that this zero occurs only once in the function.
The table provides specific values of h(x) for different x-values, which allows us to observe the behavior of the function. However, without knowing the functional form of h(x) or additional information, we cannot determine the complete polynomial equation.
To fully determine the polynomial function h(x) based on the given zero, we need to know all of its zeros, including any real or complex zeros with their respective multiplicities. Additionally, the degree of the polynomial can affect the number of zeros it possesses. With this information, we could reconstruct the polynomial equation using methods such as factoring, synthetic division, or the quadratic formula.
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A polynomial function h(x) has a zero of x = 3 – 4i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 0
1 2
4 0
7 6
10 0
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
3
4
5
6
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in his account by the end of the summer. If there are 10 weeks in the summer, how much can Keith spend each week to have at least $200 in his account? Let x represent how much he can spend each week.
options:
x>30
x>70
x≤70
x≤30
Answer:
x≤30
Step-by-step explanation:
he can spend no more than $30 a week
655Δ is a 4-digit number with one of its digits represented by Δ. 655Δ is divisible by 3. Which of these is also a number divisible by 3?
The digit is 2 and number is 6552.
What is rule of divisibility?A simple method for determining whether a given number can be divided by a fixed divisor without actually dividing it is the divisibility test. The quotient should be a whole number and the remainder should be zero if a number is completely divided by another number.
Given number 655Δ is a four digit number and last digit is Δ and number is divisible by 3,
According to the divisibility rule for 3, if the sum of its digits is divisible by 3, then the number is completely divisible by 3.
sum of digits of number is 6 + 5 + 5 + Δ which is 16 + Δ
18 is the nearest digit which is exactly divided by 3
16 + Δ = 18
Δ = 2
Hence the value of Δ is 2 and the complete digit is 6552.
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Rectangle TUVW is on a coordinate plane at T (a, b), U (a +2, b+ 2), V (a +5, b-1), and W (a +3, b-3). What is the slope of the line that is parallel to the line that contains side TU?
1
-1
2
-2
Since we are looking for a line parallel to TU, it will have the same slope of 1. Therefore, the answer is (A) 1.
What is slope?In mathematics, slope is a measure of the steepness of a line. It is the ratio of the vertical change between two points on a line (the rise) to the horizontal change between the same two points (the run). The slope of a line can be positive, negative, zero, or undefined, and is often represented by the letter m.
Here,
The slope of the line that contains side TU can be found by using the slope formula:
slope = (change in y)/(change in x)
For the points T and U, the change in y is 2 and the change in x is 2, so the slope of TU is:
slopeTU = (2)/(2)
= 1
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11. [5pts.] For the following equation, find all degree solutions in the interval 0° ≤ 0
In the interval\($0^{\circ} \leq \theta \leq 360^{\circ}$,\) the solutions to \($\cos \theta = -\frac{\sqrt{3}}{2}$\) are\($\theta = 150^{\circ}$\) and \($\theta = 210^{\circ}$\). The reference angle \($\theta^{\prime}$ is $30^{\circ}$\) and since cosine is negative, we need to look at the II and III quadrants.
The equation is \($\cos \theta = -\frac{\sqrt{3}}{2}$.\)
The reference angle \($\theta^{\prime}$ is $30^{\circ}$\)and the value of cosine is negative, so we need to look at the II and III quadrants where cosine is negative.
Therefore,
\($\theta = 180^{\circ} - 30^{\circ} = 150^{\circ}$ and $\theta = 180^{\circ} + 30^{\circ} = 210^{\circ}$ in degrees.\)
The solutions to \($\cos \theta = -\frac{\sqrt{3}}{2}$\) in the interval \($0^{\circ} \leq \theta \leq 360^{\circ}$ are $\theta = 150^{\circ}$ and $\theta = 210^{\circ}$.\)
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A new car is purchased for $ 33 , 000 $33,000 and over time its value depreciates by one half every 7 years. What is the value of the car 4 years after it was purchased, to the nearest hundred dollars?
The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have
Let y be the value of the car and x be the number of years. Then we have
\(\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000\)
Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be
\(\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}\)
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How many solutions are there to the equation below?
6x +33 = 6(x+6)
Answer:
no solution
Step-by-step explanation:
6x + 33 = 6x + 36
33 ≠ 36
Answer:
no solutions
Step-by-step explanation:
6x + 33 = 6(x + 6) ← distribute parenthesis
6x + 33 = 6x + 36 ( subtract 33 from both sides )
6x = 6x + 3 ( subtract 6x from both sides )
0 = 3 ← not possible
This indicates the equation has no solution
]
An environmentalist wants to measure the width of a river to monitor its erosion. From point A, she walks downstream 100 feet and measures the angle from this point to point C to be 40°
The environmentalist measured the angle between points A and C as 40° after walking downstream 100 feet.
To measure the width of the river, the environmentalist used the method of measuring angles. She walked downstream from point A for a distance of 100 feet. At this new point, called point C, she measured the angle between points A and C and found it to be 40°.
The angle measurement is crucial in determining the width of the river using trigonometry. By utilizing the trigonometric concept of tangent, the environmentalist can calculate the width of the river. However, without further information or additional measurements, it is not possible to provide an exact calculation of the river's width.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/2
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
3 x 1/2 = 1.5 or 1 1/2
Which of the following equations represents the problem "The sum of two consecutive integers is -17"?
2x + 2
2x + 1 = -17
2x = -17
Answer:
2x + 1 = -17
Step-by-step explanation:
consecutive integers would be
x and x+1
when you add them together its
2x+1
help me please
model the expression using counters
6+4
or
model the expression using the number line.
Answer: -2
Step-by-step explanation:
Answer:
You have to write the number-line out man. However, the answer is -2
Step-by-step explanation:
When solving problems like these, knowledge or integers and whole numbers are important. First, find the absolute values of both numbers.
Absolute value of -6: 6
Absolute value of 4: 4
Subtract the values: 6 - 4 = (Positive 2)
THEN, look at the number with the Greater Absolute value. In this case, it is -6. Because -6 has the greater absolute value, your answer should be the connotation of that number. IN THIS CASE, the number with the greater absolute value, -6, has a negative sign. Therefore, your answer should be negative. Your answer is -2.
My attempt at a number line:
----------------->
_|_________|______________
-6 -5 -4 - 3 -2 -1 0 1 2 3 4
How do you solve this math problem?
Answer: 34.8
Step-by-step explanation:
Which angle is formed by a secant and tangent line?ANGA) GSEB) EGSC) NGL
In the image line segment SE is the tangent. The secant line making an angle with tangent line SE is NS. So the angle is ∠GSE. So option B is the correct answer.
Tangent is a line which intersect with only a single point on the curve. The point where the line meets is the point of tangency. Tangent line is always perpendicular to the radius drawn to the point of tangency. Here the tangent line is SE, point of tangency is S.
Secant lines are the lines which passes through two points of a curve. A chord drawn to the circle is a secant line. Here there are two secant lines NS and NA. Here only NS makes an angle with the tangent line.
So the angle made by a tangent and secant line is ∠GSE.
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The image for the question is attached below.
find the surface are and volume of the composite figure
The total volume is,
= 350 + 100
= 450 in³
And, The total surface area is,
= 150 + 70 + 140 + 50
= 410 in²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
For Top prism:
To find the volume of the top prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V = 1/2 × l × w × h
= 1/2 × 5 × 10 × 4
= 100 in.
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is,
A = 1/2 bh = 1/2 × 7 × 4 = 14 .
Since there are 2 bases, the area is 28.
Now, Area of the rectangular side is,
A = bh
= 10 x 5 = 50 in².
Since there are two,
Hence, the area is,
A = 2 × 50 = 100
And, The surface area of the prism is ,
50 + 100 = 150 in²
Bottom prism:
To find the volume of the bottom prism, multiply the width times the height times the length.
V = lwh
= 10 x 5 x 7
= 350 in³
And, To find the surface area of the bottom prism, find the area of the base and each side of the house.
A = 10 x 5 = 50 in
A = 10 × 7 = 70 which occurs twice so it has a total area of 140.
A = 5 x 7 = 35 which occurs twice so it has an area of 70
Hence, The total volume is,
350 + 100
450 in³
And, The total surface area is,
= 150 + 70 + 140 + 50
= 410 in²
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Need this very badly
Answer:
B) 800 cm^2
Step-by-step explanation:
A=2(wl+hl+hw)
800 = 2(10x15 + 10x10 + 10x15), which is B
Answer:
800 cm^2
Step-by-step explanation:
Can anyone help me figure out what AP:PQ is. I keep getting stuck at y=-12y which can’t go anywhere…
Answer:
AP : PQ = 4 : 7
Step-by-step explanation:
A, P and Q lie on a straight vertical line with
AP = 4 units and AQ = 7 units, then
AP : PQ = 4 : 7
For similar triangles, the angles are always congruent but the sides may not always be congruent; sides are always proportional.
A) True
B) False