Answer: X=16
Step-by-step explanation: Add 90 and 22 and you will get 112. Since the beginning of the equation is "7x" which is multiplication you use Inverse Operations. So, you divide the sum, 112, by 7. Your answer will be 16.
A triangle drawn on a map has sides that measure 7 cm, 14 cm, and 12 cm. The shortest of the corresponding real-life distances is 120 km. Find the longest of the real-life distances.
A. 195.7 km
B. 240.0 km
C. 250.0 km
D. 205.7 km
Answer:
The correct option is B.
Step-by-step explanation:
Solution:
The shortest on map is 7cm
The longest on map is 14 cm
The shortest in real life is 120 km
Let the longest in real life is x km
So,
The ratio is:
7/120 = 14/x
x = 120*(14) / 7
x=1,680/7
x= 240 km
The longest in real-life is 240 km
Thus the correct option is B....
PLEASE HELP ME PLEASE AS FAST AS POSSIBLE
What is the degree of the following polynomial?
2x5 + x4 + x3 + x - 28
A) 3
B) 4
C) 5
D) 6
Answer:
A)3
Step-by-step explanation:
At a cost of 200, your club bought 175 frisbees to sell at the pep rally. You plan on selling them for $5 each. What is the domain of the function?
Answer:
Domain: {0, 1, 2, ..., 175}.
Step-by-step explanation:
We are given that a club bought 175 frisbees at a cost of $200 which you plan to sell for $5 each.
We are to find the domain of this function.
Domain is actually the input into a function which is the x value.
Here sales = 5x where x represents the number of frisbees sold.
So the profit will be:
Profit = Sales - Cost = 5x - 200
Here in this case, the domain would be the number of frisbees sold which is between 0 to 175.
18. The equation of a linear relation is:
y = -7x + 4
Find the missing number in each
ordered pair.
a) (-2,) b) (, -17)
C (8 ) d) (4)
PLEASE HELP!!
Answer:
See below
Step-by-step explanation:
So basically, your orders pairs are like this (x,y) and you're just replacing those variables with the numbers in the equations.
Like such:
Answer: see photo below
Step-by-step explanation:
How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?
Answer:
[tex]g(x)= 3x-2[/tex], graph shifted 2 units down.
Step-by-step explanation:
[tex]g(x)= 3x-2[/tex]
g(x) = 3x is a parent function.
When we compare the graph of parent function g(x)= 3x with [tex]g(x)= 3x-2[/tex], negative 2 is added at the end
f(x)---> f(x) + a , the graph will be shifted 'a' units up
f(x)-> f(x) -a , the graph will be shifted 'a' units down
[tex]g(x)= 3x-2[/tex], In this g(x) we have -2 at the end.
So the graph will be shifted 2 units down.
The graph of 3x - 2 is a vertical translation by 2 units down of the function f(x) = 3x
Translation of functions and graphsAccording to the question, we are given the parent function f(x) = 3x, we need to determine the relationship between the parent function and g(x) = 3x - 2
If the function f(x) translate by k units downwards, the resutlting function will be expressed as h(x) - k.
Hence if h(x) = 3x translate by 2 units downwards, the resulting function will be expressed as 3x - 2.
The graph of 3x - 2 is a vertical translation by 2 units down of the function h(x) = 3x
Learn more on translation here: https://brainly.com/question/12861087
Question 3(Multiple Choice Worth 5 points)
(03.03 LC)
How does the graph of g(x) = (x − 2)3 + 7 compare to the parent function f(x) = x3?
g(x) is shifted 7 units to the right and 2 units up.
g(x) is shifted 2 units to the right and 7 units up.
g(x) is shifted 7 units to the right and 2 units down.
g(x) is shifted 2 units to the left and 7 units up.
Answer: Second option.
Step-by-step explanation:
Below are some transformation for a function f(x):
If [tex]f(x)+k[/tex] then the function is shifted up "k" units.
If [tex]f(x)-k[/tex] then the function is shifted down "k" units.
If [tex]f(x+k)[/tex] then the function is shifted "k" units to the left.
If [tex]f(x-k)[/tex] then the function is shifted "k" units to the right.
Knowing this tranformations and given the parent function [tex]f(x)=x^3[/tex] and the function [tex]g(x) = (x -2)^3 + 7[/tex], we can conclude that the function g(x) is shifted 2 units to the right and 7 units up.
We can observe that this matches with the second option.
Plz help plz i need help
Step-by-step explanation:
Remember to follow PEMDAS. PEMDAS = Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
Note the equation:
y = (1/4)x + 1
Plug in a number to x, & solve to get the answer for the variable (y).
In this question, they give you 3 numbers to plug into x: 4, 8, 12. Plug them in:
When x = 4
y = (1/4)(4) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 4:
y = (1/4)(4) + 1
y = (1 * 4)/4 + 1
y = 4/4 + 1
y = 1 + 1
Simplify. Combine the terms:
y = 1 + 1
y = 2
when x = 4, y = 2.
When x = 8
y = (1/4)(8) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 8:
y = (1/4)(8) + 1
y = (1 * 8)/4 + 1
y = 8/4 + 1
y = 2 + 1
y = 3
when x = 8, y = 3.
When x = 12
y = (1/4)(12) + 1
Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 12:
y = (1/4)(12) + 1
y = (1 * 12)/4 + 1
y = 12/4 + 1
y = 3 + 1
y = 4
when x = 12, y = 4.
~
He concluded that a heavier object dropped from the same height as a lighter object will land
Answer:
They will land at the same time.
Step-by-step explanation:
According to Gallileo's test where he dropped two balls (one heavier than the other) from the same height and they landed both a precisely the same time then we know that as long as two objects are dropped from the same height then no mtter the weight they will land at the same time.
Answer: at about the same time as the lighter object
calculate the missing length on the right triangle. slove for c using the pythagorean theorem. Hint a²+b²=c²
Answer:
C= 10
Step-by-step explanation:
A=8
B=6
C= ?
1. Set up the equation for the Pythagorean theorem and fill in the variables.
8² + 6² = c
64 + 36 = 100
2. Square root 100.
Square root of 100 = 10
Answer = 10
The missing length on the right triangle is 10 in.
What is right triangle?"It is a triangle whose one of the angle measures 90°"
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle,
[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a, b are other two sides of the right triangle."
For given question,
We have been given a right triangle with a = 8 in. and b = 6 in
We need to find the the value of c.
Using Pythagorean theorem,
[tex]\Rightarrow c^2 = a^2+b^2\\\Rightarrow c^2 = 8^2+6^2\\\Rightarrow c^2 = 64+36\\\Rightarrow c^2 = 100\\\Rightarrow c=10~in[/tex]
Therefore, the missing length on the right triangle is 10 in.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/343682
#SPJ2
The first step in constructing this equilateral triangle is to draw segment AB.
What is the second step?
A. Draw two circles with radius AB.
B. Draw angle CAB.
C. Draw two circles with diameter AB.
D. Draw arc BC.
Answer: draw line segment AB
Step-by-step explanation (A PEX)
The second step in constructing this equilateral triangle is draw two circles with radius AB. Option A is correct.
What is an equilateral triangle?An equilateral triangle is the triangle in which all the three sides are of equal length in measure.
The first step in constructing this equilateral triangle, to draw segment AB. The second step for this has to find out.
Here, the triangle ABC is shown in the given image. As it is known that all the sides of a equilateral triangle are equal. Therefore,
[tex]AB=BC=AC[/tex]
The first circle is co-occur, the second circle completely. This happens when the two circles made with same radius.
Now from the center point of the circle to the boundary of that circle, is called the radius of the circle., Thus, the line segment AB is the radius of the two circles.
Hence, the second step in constructing this equilateral triangle is draw two circles with radius AB. Option A is correct.
Learn more about the equilateral triangle here;
https://brainly.com/question/1099318
Given the two Fibonacci numbers below, which number would follow?
(17) - 1597 and F(18) = 2584
Answer:
4181
Step-by-step explanation:
The Fibonacci sequence starts with 0 and 1... then all other terms are obtained by adding the two previous terms.
0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.
So, if you have any two consecutive terms from the sequence, you can easily find the next one by adding them together:
F(19) = F(17) + F(18)
F(19) = 1597 + 2584 = 4181
2x^2= 6x -5 solution
Answer:
[tex]\large\boxed{\bold{No\ real\ solutio}\\\boxed{\dfrac{3}{2}\pm\dfrac{1}{2}i}[/tex]
Step-by-step explanation:
[tex]2x^2=6x-5\qquad\text{subtract}\ 2x^2\ \text{from both sides}\\\\0=-2x^2+6x-5\qquad\text{change the signs}\\\\0=2x^2-6x+5\\\\2x^2-6x+5=0\\\\\text{use the quadratic formula:}\\\\ax^2+bx+c=0\\\\if\ b^2-4ac<0,\ then\ the\ equation\ has\ no\ real\ solution\\\\if\ b^2-4ac=0,\ then\ the\ equation\ has\ one\ solution\ x=\dfrac{-b}{2a}\\\\if\ b^2-4ac>0,\ then\ the\ equation\ has\ two\ solutions\ x=\dfrac{-b\pm\sart{b^2-4ac}}{2a}[/tex]
[tex]2x^2-6x+5=0\\\\a=2,\ b=-6,\ c=5\\\\b^2-4ac=(-6)^2-4(2)(5)=36-40=-4<0\\\\\bold{No\ real\ solution}\\\\\text{If yo want the complex solution, then:}\\\\i=\sqrt{-1}\to\sqrt{-4}=\sqrt{4}\cdot\sqrt{-1}=2i\\\\x=\dfrac{-(-6)\pm2i}{2(2)}=\dfrac{6\pm2i}{4}=\dfrac{3\pm i}{2}=\dfrac{3}{2}\pm\dfrac{1}{2}i[/tex]
Which is the area of a triangle with a base of 10 inches and a height of 3 inches? A. 15 square inches B. 24 square inches C. 48 square inches D. none of the above
Answer:
Option A: 15 square inches
Step-by-step explanation:
Given
[tex]Base = 10 inches\\Height = 3 inches[/tex]
We know that the formula for the area of triangle is:
[tex]Area=\frac{1}{2}*base*height\\ = 0.5*10*3\\= 15[/tex]
So the area is 15 square inches.
We can conclude that option A: 15 square inches is the correct answer ..
Answer:
The correct answer is option A. 15 square inches
Step-by-step explanation:
Points to remember
Area of triangle = bh/2
b - Base of triangle
h - Height of triangle
To find the area of triangle
Here base b = 10 inches and
height h = 3 inches
Area = bh/2
= (10 * 3)/2
= 30/2 = 15 square inches
The correct answer is option A. 15 square inches
6x + 3y = -6 2x + y = -2 A. x = 0, y = -2 B. infinite solutions C. x = -1, y = 0 D. no solution
ANSWER
B. infinite solutions
EXPLANATION
We want to solve the equation;
[tex]6x + 3y = - 6...(1)[/tex]
and
[tex]2x + y = - 2...(2)[/tex]
We multiply the second equation by 3 to get:
[tex]6x + 3y = - 6...(3)[/tex]
We now subtract equation (1) and (3).
[tex]6x - 6x + 3y - 3y = - 6 - - 6[/tex]
This implies that
[tex]0 = 0[/tex]
Hence the equation has infinitely many solutions.
A 4000 kg truck is parked on a 7.0° slope. How big is the friction force on the truck?
Answer:
4777.28 N
Step-by-step explanation:
The gravitational force down the slope is given by the formula;
(mass *g * sin θ )
where;
θ is the angle of inclination of the slope
g is the gravitational pull
We plug in the given values into the above expression;
(4,000 x 9.8 x sin 7) = 4777.28 N.
The frictional force must equal to 4777.28 N (pointing up the slope).
Final answer:
To calculate the friction force acting on a 4000 kg truck parked on a slope, the component of the truck's weight acting down the slope is determined and found to be approximately 4780 N. This value represents the maximum static friction force available to prevent the truck from sliding.
Explanation:
The question is asking to calculate the friction force acting on a truck parked on a slope. To find the friction force, first, we need to calculate the component of the truck's weight that is acting down the slope. This can be found with the formula Wparallel = mg sin(θ), where m is the mass of the truck, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the slope.
The truck's weight component acting along the slope is:
Wparallel = 4000 kg * 9.8 m/s² * sin(7°) ≈ 4000 kg * 9.8 m/s² * 0.12187 ≈ 4780 N
The friction force will counteract this downhill force to prevent the truck from sliding. Assuming that the friction force equals the downhill component of the truck's weight to keep the truck stationary, the friction force on the truck is approximately 4780 N. However, without the coefficient of friction, this represents the maximum static friction force that could occur before the truck would start to slide down the slope.
What is the length of segment AC?
Answer: 10
Step-by-step explanation:
see attached picture
Answer:
It is 10
Step-by-step explanation:
(05.05)Polygon ABCD has the following vertices:
A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4)
Calculate the area of the polygon.
[tex]A=68units^2[/tex]
Step-by-step explanation:First of all, let's plot all the points, so we get the first figure below. Since a Polygon is a shape with straight sides and closed, then if we draw lines in order for the shape to be closed, we get the shape as shown in the second figure. This polygon is a trapezoid because at least one pair of opposite sides are parallel. To get the area, we know the formula:
[tex]For \ any \ trapezoid: \\ \\ A=\frac{(b_{1}+b_{2})h}{2} \\ \\ b_{1} \ and \ b_{2} \ are \ the \ two \ parallel \ bases \\ \\ h \ is \ the \ height[/tex]
From the second figure, we know:
[tex]b_{1}=6 \\ \\ b_{2}=11 \\ \\ h=8 \\ \\ Then: \\ \\ A=\frac{(6+11)\times 8}{2} \\ \\ \boxed{A=68units^2}[/tex]
2. Solve for x
3x + 3 - x + (-7) > 6
O A. x > 2.5
O B.X> 5
O C.x> (-5)
O D. x < 5
Answer:
B. x > 5
Step-by-step explanation:
Simply combine all like-terms on the left side of the inequality symbol, then evaluate to arrive at your answer.
(25x)° (45x)° (54x)°
what is x?
45x = 25x + 57 + x
45x = 26x + 57
45x - 26x = 57
19x = 57
x = 57/19
x = 3
What is 9 rounded to the nearest tenth
Answer:
10
Step-by-step explanation:
It is 10 because 9 is over 5 so it would round to 10
Please mark brainliest my answer got deleted
Answer:
KONO DIO DA
Step-by-step explanation:
The function f(x) = x? - 12x + 5 written in vertex form is f(x) = (x - 6)2 - 31. What are the coordinates of the vertex?
O (6, 31)
O (-6, 31)
O (6,-31)
(-6, -31)
Mark this and return
Subunit
Answer:
(6,-31)
Step-by-step explanation:
f(x) = (x-6)^2 -31
This is in the form
f(x) = (x-h)^2 +k
where (h,k) is the vertex
(6,-31) is the vertex of the parabola
What is the squate root of r^64
need help ....
a r^4
b r^8
c r^16
d r^32
8*8 equals 64 and a square root is a number times another number equals thr number that you are going for
Answer: option d.
Step-by-step explanation:
To find the square root of [tex]r^{64}[/tex], it is important to remember the following:
[tex]\sqrt[n]{a^n}=a[/tex]
Then, knowing this, you can find the square root of [tex]r^{64}[/tex] with this procedure:
[tex]\sqrt{r^{64}}=r^{32}[/tex]
There is another procedure to solve the exercise. Knowing that:
[tex]\sqrt[n]{a}=a^{\frac{1}{n}}[/tex], you get:
[tex]\sqrt{r^{64}}=r^{\frac{64}{2}}=r^{32}[/tex]
Then the answer is the option d.
What is the product?
(3x-6)(2x2 -7x+1)
Answer:
15x - 21x² + 12
Step-by-step explanation:
(3x - 6)(2 X 2 - 7x + 1) = (3x - 6)(4 - 7x + 1)
= (3x - 6)(5 - 7x)
= (3x X 5) + (3x X -7x) + (-6 X 5) + (-6 X -7)
= 15x - 21x² - 30 + 42
= 15x - 21x² + 12
Answer:
(3x-6)(2x² -7x+1)
= 6x³ - 33x² + 45x - 6
Step-by-step explanation:
(3x-6)(2x² -7x+1)
To find the product of this we will expand the equation by multiplying each element in one bracket with the other bracket.
(3x-6)(2x² -7x+1)
Expand
(3x)(2x² - 7x + 1) (-6)(2x² - 7x + 1)
Opening the bracket (multiple)
6x³ - 21x² + 3x - 12x² + 42x - 6
Collect like terms
= 6x³ - 21x² - 12x² + 3x + 42x - 6
= 6x³ - 33x² + 45x - 6
on Saturday a total of 1292 people went to the movies to see a new show there were four different showings for the new movie and the same number of people attended each showing how many people attended each showing
Determine the solution for x^2 + 36 > 12x
Answer:
(6, ∞)
(-∞, 6)
Step-by-step explanation:
x^2 + 36 > 12x
Subtract 12 x from each side
x^2 -12 x+ 36 > 12x-12x
x^2 -12 x+ 36 > 0
Factor
What 2 numbers multiply together to give us 36 and add together to give us 12
-6*-6 = 36
-6+-6 = 12
(x-6) ^2 > 0
Take the square root of each side
x-6 >0 or x-6 <0
x>6 or x < 6
Answer:
c. and second one is B
Step-by-step explanation:
What is the slope of the line through (-4.2) and (3,-3)?
Finding the slope using the two points:
The formula for slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =-3\\y_{1} =2\\x_{2} =3\\x_{1} =-4[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{-3-2}{3 - (-4)}[/tex]
[tex]\frac{-5}{7}[/tex]
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
[tex]-\frac{5}{7}[/tex]
Step-by-step explanation:
Slope formula:
↓
[tex]\frac{Y_2-Y_1}{X_2-X_1}[/tex]
[tex]\frac{(-3)-2}{3-(-4)}=\frac{-5}{7}=-\frac{5}{7}[/tex]
-5/7 is the correct answer.
which of the following lines does not intersect the line y=-2x+3 ?
A) y=2x
B) y=2x-3
C) y=2x+3
D) y=-2x-3
Answer:
b
Step-by-step explanation:
they will be parallel same slope jujst different start points
What is the volume of this figure?
1,000 cubic feet, 750 cubic feet, 1,125 cubic feet, or 875 cubic feet?
Answer:
1000 cubic feet
Step-by-step explanation:
1000 cubic feet because you have to find the volume of the small cube on the bottom right which is 5x5x5=125, volume of the middle right rectangular prism is 20x5x5=500, and volume of the right side rectangular prism is 15x5x5=375. 125+550+375= 1000 cubic feet.
Describe the graph of y > mx, where m > 0.
Answer:
that graph will feature an area delimited by a line of slope m passing through the origin (0,0).
Since m>0 the slope is positive, meaning the line goes up.
Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.
So it will for sure include ALL quadrant II (with -x and +y values) and NONE of the quadrant IV (with +x and -y values) since the line is passing through the origin (0,0).
Answer:
The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
Step-by-step explanation:
The sum of 4 consecutive odd numbers is 40.
What is the second number in this sequence?
Let’s say that our first number is x. We know, two consecutive odd numbers have difference of 2.Now,x + (x+2) + (x+2+2) + (x+2+2+2) = 40Or, 4x + 12 = 40Or, 4x = 40 - 12 = 28Or, x = 28/4 = 7The second odd number in the sequence = x+2 = 7+2 = 9.
Answer:
9 is the second number in this sequence
Step-by-step explanation:
So if n is the first integer in this sequence, then the following are true of the sequence of consecutive odd numbers (just means the odd integer right after):
First integer: n
Second integer: n+2
Third integer: n+4
Fourth integer: n+6
-------------------------------
Sum of these integers are 4n+12=40
Subtract 12 on both sides: 4n =28
Divide both sides by 4: n =7
So first integer 7
Second integer: 9
Third integer: 11
Fourth integer: 13
When you add these up you do get 40!