axis of symmetry is the dashed red lines of the equation/parabola. The symmetry is basically like the mirror of both sides of a parabola.
ANSWER: x = 2
Select the correct answer.
What is the value of x in the triangle?
a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3
The length of the hypotenuse is 7m.
Let the side opposite to 30° be the shortest leg.
The side opposite to 60° is the longest leg.
So, the side opposite to 90° is hypotenuse.
Length of the shortest side is x.
Length of longest side is \(\sqrt{3}x\)
Length of the hypotenuse is 2x.
We know x = 7
So, \(\sqrt{3}(x)=\sqrt{3}(7)\)
Thus, the length of the longer leg is \(\sqrt{3}(7)\) m
Length of hypotenuse = 2x = 2(7) = 14m
\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)
Taking square root on both sides:
\(2x = \sqrt{196}\)
2x = 14
x = 7
Therefore, the length of the hypotenuse is 7m.
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PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Students at a certain high school can choose from three different classes.9/10 of the students choose Spanish,37% choose French and 9/50 choose Chinese.
A.order the languages from the most number of students take to the one the least number students take. Justify your answer.
Answer:
1 Spanish 90%
2.French 37%
3. Chinese 18%
Step-by-step explanation:
9/10 .......... 90/100 ........... 90%
37%.................. 37%
9/50............. 18/100 .......... 18%
please help me Solve the following equations simultaneously:
solve for x and y
x+3y =6 and 2x+8y=-12
Answer:
x+3y =6
2x+8y=-12
The solutions to your equations are:
x= 42 and y= -12
lets check this
42+-36 =6
84+-96=-12
Hope This Helps!!!
Jordins dog eats 3/4 bag of dog food in 1 month how many bags of dog food does Jordan dog eat in 6 months
Find f(6), f(0), and f(-1)
f(x)=-7X
Answer:
f(6)=-42
f(0)=0
f(-1)=7
Step-by-step explanation:
since f(x) =-7x
it implies that f(6),f(0) and f(-1) are all equal to f(x)
which is equal to -7x .
so wherever you find x you out it in the
function
Is this the correct solution for this question? I need help please
Given equation:
\(9x^2\text{ - 12x + 4 = 0}\)Let's solve the question to identify the type of solution.
Using factorization method:
\(\begin{gathered} 9x^2\text{ - 12x + 4 =0} \\ 9x^2-6x\text{ -6x + 4 = 0} \\ 3x(3x-2)\text{ -2(3x-2)= 0} \\ (3x-2)(3x-2)\text{ =0} \end{gathered}\)The solution is thus
\(\begin{gathered} 3x\text{ -2 = 0} \\ 3x\text{ = 2} \\ x\text{ = }\frac{2}{3} \end{gathered}\)Hence, there is one solution and it is real.
Answer: 1 real (Option B)
Given the function m(x) = 2x – 10, find x when m(x) = -4. X = -7 x = 3 x = 2 O x- X = -18
Given
\(m(x)=2x-10\)You have to find x for m(x)=-4
To do so you have to equal the expression to -4 and solve for x
\(-4=2x-10\)Pass "-10" to the other side of the expression by performing the inverse operation to both sides of it, that is, to add 10
\(\begin{gathered} -4+10=2x-10+10 \\ 6=2x \end{gathered}\)Divide both sides by 2 to determine the value of x
\(\begin{gathered} \frac{6}{2}=\frac{2x}{2} \\ 3=x \end{gathered}\)So for m(x)=-4, x=3
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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What is the 15% of 20
Answer:
Step-by-step explanation:
15% of 20 is 3
A clothing company wants to ship more items per box. The length, width and height of the new boxes are all twice as long as those of the old
boxes
How does the volume of a new box compare to the volume of an old box?
O A The volume of the new box ls 2 times the volume of the old box.
OB The volume of the new box is 4 times the volume of the old box.
O c The volume of the new box is 6 times the volume of the old box
OD. The volume of the new box is 8 times the volume of the old box.
Answer:
I believe the answer is A
Step-by-step explanation:
I say it's A because the volume is double like it told us. Compared to the new box it's twice as long as the old boxes.
I hope this helps! ~~~~
The volume of the new box is 8 times the volume of the old box.
The correct answer is option (D).
Volume of rectangular box:The volume of a rectangular box with length L, width W and height H is,
V = L × W × H
Given: -
Let \(l,w,h\) represents the length, width and height of the old rectangular boxes.
Let \(V_o\) represents the volume of the old rectangular box.
⇒ \(V_o=l\times w \times h\)
The length, width and height of the new boxes are all twice as long as those of the old boxes.
This means the length, width and height of the new boxes would be \(2l,2w,2h\).
Let \(V_n\) represents the volume of the new rectangular box.
So, the volume of the new rectangular box would be,
⇒ \(V_n=2l \times 2w \times 2h\)
⇒ \(V_n = 8 \times l \times w \times h\)
⇒ \(V_n=8 \times V_o\)
This means, the volume of the new box is 8 times the volume of the old box.
Hence, option (D) is the correct answer.
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On a coordinate plane, f (x) = x cubed + 4 curves up
through (2, negative 3), has an inflection point at (0, 4),
and curves up through (1, 5). G (x) = Rootindex 3
StartRoot x minus 4 EndRoot curves up through
(negative 4, negative 2), has an inflection point at (4, 0),
and curves up through (5, 1).
Consider the function show. Explain why the graph of a
function and its inverse are reflections over the line
y=x.
O The ordered pairs (a, b) of a function are (-a, -b) for
the inverse function.
O The ordered pairs (a, b) of a function are (-b, -a) for
the inverse function.
O The ordered pairs (a, b) of a function are (a, b) for
the inverse function.
O The ordered pairs (a, b) of a function are (b, a) for
the inverse function.
Answer: B
Step-by-step explanation:
I just solved it
The correct answer is . The ordered pairs (a, b) of a function are (b, a) for the inverse function.
Will someone be able to help me with this math problem, the picture is down below. Please help
The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;
Side A'B' will be parallel to side AB
Side A'C' will be parallel to side AC
Side BC will lie on the same line as side BC
What is a dilation transformation?A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.
The possible options, from a similar question on the internet are;
Be parallel to
Be perpendicular to
Lie on the same line as
The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;
PB' = 3 × PB
PA' = 3 × PA
PC' = 3 × PC
Therefore; The side B'C' will be on the same line as the side BC
The Thales theorem, also known as the triangle proportionality theorem indicates that;
The side A'C' will be parallel to the side AC
The side A'B', will be parallel to the side AB
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100 POINTS ANSWER BOTH! Find the measure of angle a.
Find the measure of angle b
The value of angle a is 48° and angle b is 65°.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Solve for the angle a,
Given that the lines are perpendicular to each other,
Implies that,
a+42=90
a=48
The value of angle a is 48°.
Solve for angle b,
The angle made by a straight line is 180°
therefore,
115+b=180
b=65
The value of angle b is 65°.
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A painter uses 1.5 gallons of paint to cover 3/4 of a wall. At this rate, how many gallons of paint does it take to paint the entire wall?
Answer:
\(6\)
Step-by-step explanation:
if
\( \frac{3}{4} = 1.5 \\ \\ \frac{4}{4} = \frac{4}{4} \times 1.5 \times \frac{4}{3} \\ \\ = 6\)
There is an equation that has a slope of 3 and it crosses the y-axis at (0, -1).
What is the equation of this line?
Answer: y = 3x - 1
Step-by-step explanation:
y = 3x + c
-1 = 3(0) + c
-1 = 0 + c
-1 - 0 = c
-1 = c
y = 3x - 1
What is the value of x?
(5x - 5)°
8x
(6x - 5)
The value of x in the triangle is 10
What is sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The sum of the three angles in a triangle is 180°.
Therefore
(5x - 5)° + 8x + (6x - 5) =180
5x-5+8x+6x-5 = 180
collect like terms
5x+8x+6x-5-5 = 180
19x = 180+10
19x = 190
divide both sides by 19
x = 190/19
x= 10
therefore the value of x is 10
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Which calcuation and answer show how to convert 5/16 to a decimal?
40 sneezes in 20 minutes as a unit rate
Answer:
Unit rate = 2 sneezes per minute
Step-by-step explanation:
40 sneezes in 20 minutes.
One quantity is 1 in unit rate with respect to other.
Unit rate = \(\frac{40\ sneezes}{20\ minutes}\)
Unit rate = 2 sneezes per minute
How do we get our voice?
Answer: The lungs provide the airstream which powers human voice. As air is pushed up the windpipe from the lungs, the larynx, which is made up of two vocal folds, opens and closes to produce vibrations. These vibrations are carried through to the throat, nose, and mouth, which act as resonators- morphing the vibrations into distinct human sounds.
Step-by-step explanation:
Answer:
Our vocal cords gve us our voice.
Step-by-step explanation:
The vocal folds (cords) produce sound when they come together and then vibrate as air passes through them during exhalation of air from the lungs. This vibration produces the sound wave for your voice.
If there is an outlier should we report mean or median?
Answer:
The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.
Step-by-step explanation:
Answer:
If there is an outlier you should report the median. This is because the value of a mean can be distorted by the outliers. So, you can use the median when the distribution is not symmetrical.
Step-by-step explanation:
The figure to the right shows the distance-time graph for a muscle car accelerating from a standstill. Use the information in the figure to answer parts (a) and (b). The table below lists the coordinates of the points.
The acceleration of the car is 8 m/s^2.
The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.
Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.
(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m
(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2
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Mr. Harry had 4 daughters, each daughter had a brother. How many Children does Mr. Harry have?
Answer:
Mr. Harry has 5 children.... I know what you were going for...
PLEASE PLEASE HELP!!!
Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes.
Answer:
1/2
Step-by-step explanation:
I think it is 2 because 6 are adult users of smartphone and the probability is 3. So 3 that is the probability over the total, that is 6.So, 3/6 is 1/2. Hope it was helpful.
Here are the heights (in inches) of 12 students in a seminar. 71, 67, 62, 60, 70, 64, 68, 72, 58, 63, 60, 66 What is the percentage of these students who are shorter than 65 inches? 1% X 5
25% of the students in the seminar are shorter than 65 inches.
To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:
There are three students who are shorter than 65 inches: 62, 60, and 58.
Therefore, the percentage of students who are shorter than 65 inches is:
(3 students / 12 students) × 100% = 25%
Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.
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The area of Neil's sqaure bedroom is 256 feet2. what is the length of any sidewall in his bedroom
Answer: 64 ft for each wall in his bedroom..
Step-by-step explanation: 256 divide 4 = 64.
QUIZ 2: Learning about
The symbols used to enclose the elements of a set are called:
parenthesis
braces
commas.
QUICK ANSWER WILL GIVE BRAINLIEST AND 100 POINTS:
Explain the following in complete sentences:
How is the base of a rectangular pyramid related to the lateral faces?
Answer:
the base of a lateral pyramid is related to lateral faces because though it is not a lateral face itself is connected to the sides of the pyramid and the side of the pyramid is connected to the vertex of the shape
Step-by-step explanation:
the base of a lateral pyramid is related to lateral faces because though it is not a lateral face itself is connected to the sides of the pyramid and the side of the pyramid is connected to the vertex of the shape
Answer:
The net of a triangular pyramid with an equilateral triangle for the base consists of four triangles, and at least three are congruent.
Step-by-step explanation:
I just got born again I'm a Christian
This technique makes no a priori assumption of whether one variable is dependent on the other(s) and is not concerned with the relationship between variables; instead it gives an estimate on the degree of association between the variables:_________
a. Regression
b. Multiple regression
c. Means test
d. Correlation
Answer:
d. Correlation
Step-by-step explanation:
Based on the information being provided it can be said that this technique provides the correlation between two or more variables. Correlation explains any statistical relationship that exists between two different variables or sets of data, whether it is casual or not. Many times it is the degree to which a pair of variables are linearly related
what are the solutions to this system of equations 2x y 3 y 3 2 x 2 2
The solutions to the system of equations 2x + y = 3 and y - 3 = 2x - 2 are (1,5) and (-2,-1).
What formulae are used?A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Let's read this article to learn more about math equations.
What is an equation example?The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 has the two expressions 3x + 5 and 14 that are separated by the 'equal' sign.
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A dairy farmer wants to mix a 45% protein supplement and a standard 15% protein ration to make 1200 pounds of a high-grade 40% protein ration. How many pounds of each should he use?
A dairy farmer needs to mix 450 pounds of protein supplement, 30 pounds of protein ration and 480 pounds of high-grade protein ration.
Given that, a dairy farmer wants to mix a 45% protein supplement.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let x be number of pounds farmer wants to mix a 45% protein supplement.
Here,
0.45x + 0.15(1200-x) = 0.40(1200)
⇒ 0.45x +180-0.15x = 480
⇒ 0.30x=480-180
⇒ 0.30x=300
⇒ x=300/0.30
⇒ x=1000
Here, 45% of 1000
= 450 pounds
15% of (1200-100)
= 0.15×200
= 30 pounds
40% of 1200
= 480 pounds
Therefore, a dairy farmer needs to mix 450 pounds of protein supplement, 30 pounds of protein ration and 480 pounds of high-grade protein ration.
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