The function is an increasing linear function
How to determine the function type?The function is given as:
f(x) = 4.2x
The above function is a linear function, because linear functions are represented as:
f(x) = mx + b
Where m represents the slope.
A positive slope represents an increasing linear function.
By comparison;
m = 4.2
4.2 is positive
Hence, the function is an increasing linear function
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Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. consider the logarithmic function f(x) = log10(x). the value of f(50), rounded to nearest hundredth, is .
It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.
What is logarithmic?Logarithmic functions are defined as the inverses of exponential functions.
Hence, exponential functions can be expressed in logarithmic form
Given that f(x) = log₁₀(x)
we need to find the value of f(50),
we have to substitute x to be 50 in the logarithm function,
f(50) = log₁₀(50)
f(50) = log₁₀(5 x 10)
f(50) = log₁₀(5) + log₁₀(10)
f(50) = 1 + log₁₀(5)
f(50) = 1 + 0.70
f(50) = 1.70
Hence, It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.
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1. explain the steps to use coordinates in
calculating the perimeter and area of
polygons? explain your procedure when
working with diagonal sides and irregular
shapes on the coordinate plane. 2. explain
how the distance formula and slope formula
are used to classify various quadrilaterals and
triangles.
We need to explain the steps to use coordinates in calculating the perimeter and area of the polygon.
We need to explain the procedure when working with diagonal sides and irregular shapes on the coordinate plane.
The location of a point in the XY-plane is determined by coordinates. The vertex, which is the point where two lines of a shape meet to form a corner, is a unique place. We can determine the perimeter and area of a figure after we have the coordinates for all of its vertices.
Steps to calculate the perimeter and area of a polygon:
Step 1: Plot the given points on the graph.
Step 2: Connect the points and identify the figure.
Step 3: Determine lengths by counting the grid lines.
Step 4: Use a formula to calculate the perimeter and area if one exists.
Step 5: If there are no formulas for a figure, the perimeter can be calculated by summing the lengths of the sides. We might estimate the area without an area formula by counting the number of small squares enclosed.
Note: If you are using diagonal to calculate the area, then use the distance formula to calculate the length of the diagonal.
We need to explain how the distance formula and slope formula
are used to classify various quadrilaterals and triangles.
Distance formula: [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]
The length of a triangle's sides can be calculated using the distance formula. If the lengths of all three sides are equal, the triangle is said to be equilateral.An isosceles triangle is formed when the lengths of any two sides are equal.If the length of the opposite sides is equal, then the quadrilateral could be a rectangle or a parallelogram.If the length of all sides is equal, then the quadrilateral could be a square or a rhombus.Now, we use slope to find the angles i.e. If:
The product of two slopes is -1, then the lines are perpendicular and so, form right angle between them.If the slope of two lines is equal, then the lines are parallel.So, this gives us that the option 'Use the slope to check whether sides are perpendicular and form right angles' is correct.Since some quadrilaterals have the property that the diagonals are perpendicular bisectors of each otherUse the distance formula to measure the lengths of the sides.Use the slope to check whether the sides are perpendicular and form right angles.Use the slope to check whether the diagonals are perpendicular to eachTo learn more about coordinate geometry visit:
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A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 23% chance of drawing an orange marble and a 48% chance of drawing a white marble. What is the probability of choosing a purple marble? Express your answer as a percent.
The probability of choosing a purple marble from the given parameters is given as; 29%
How to find the Probability?
We are given;
Probability of drawing an orange marble = 23% = 0.23
Probability of of drawing a white marble = 48% = 0.48
Thus, probability of drawing a purple marble is;
P(purple marble) = 100% - (23% + 48%)
P(purple marble) = 29%
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Find the value of x in the given
right triangle.
7
X
10
x = [ ? ]
The value of x in the given right triangle is approximately 7.14
How to find unknown side in a right triangle?Hypotenuse = 10opposite = xAdjacent = 7Hypotenuse² = opposite² + adjacent ²
10² = x² + 7²
100 = x² + 49
100 - 49 = x²
51 = x²
x = √51
x = 7.14142842854284
Approximately,
x = 7.14
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a) Work out the size of angle x. b) Give reasons for your answer. + A E C xº B F 105° G D H
Check the picture below.
You are a travel agent contacted by the Alonzo family who plans for a three-day summer vacation in Hong Kong. You are to present to them a variety of transportation packages within their allotted budget. The package should interest all the members of the family, namely: Mr. and Mrs. Alonzo; Joshua, their 24-year old son; and Bea, their 12-year old daughter. Create a diagram showing the variety of transportation options for all the family members to choose from. Explain how you arrived at those options.
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
magpakailanman
[tex]\pink{\rule{1pt}{999999pt}}[/tex]
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, ...
Answer:
3n-10
Step-by-step explanation:
Goes up by three and the first number of this sequence is 10 below 3.
The triangles below are similar because of the:
Answer:
AA similarity postulate
Explanation:
For triangle XZY, the angles are 90°, 40°, 50°.
For triangle AXB, the angles are 90°, 40°, 50°.
Which states that all the angles are of equal measure in the triangles.
This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.
i need help with this please vvv
Answer:
(a,b)
Step-by-step explanation:
Using the Midpoint formula,
[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
you will get
[tex]\left(\frac{2a+0}{2},\:\frac{0+2b}{2}\right)[/tex]
which is
(a,b)
What does the word progressive mean in the sentence below
What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me
Please help , giving brainliest .
Answer:
363.22
Step-by-step explanation:
Method 1:
You could find the whole figure surface area than divided by 1/2
Method 2: (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
For one face of figure 1
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
which graph represents a function
Answer:
I think it's the one in the middle
Step-by-step explanation:
may someone help me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find the value of given expression for x = 5 ~
[tex]\qquad \sf \dashrightarrow \:3(3x + 5)[/tex]
[tex]\qquad \sf \dashrightarrow \:9x + 15[/tex]
now, plug in the value of x as 5
[tex]\qquad \sf \dashrightarrow \:9(5) + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:45 + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:60[/tex]
so, the equivalent value is 60
Find the area please
=202 in²
Divide the shape into 2.
Area of a rectangle= Length * Width
So..
The first shape = 13in*4in = 52in²
The second shape = 15in * 10in = 150in²
150 + 52 = 202in²
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 - 2m6+5m²n4 - m³n³ + n6 - 4m6 + 9m²n4 - mn5 - 4m³n³ O n6 + 7mn5 + 14m²n4 - 5m³n³ - 6m6 O -2m6 - 5m³n³ + 14m²n4 + 7mn5 + n6 O 14m²n4 + 7mn5 - 6m6 - 5m³n³ + n° On6 - 6m6 + 7mn5 + 14m²n4 - 5m³n³ Mark this and return Next Submi Sa Exitve an
d
Option A is the correct option. The polynomial correctly combines the like terms and expresses the given polynomial in standard form is,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
What is the polynomial equation?A polynomial equation is an equation in which the unknown variable is one and the highest power of the unknown variable is n. Here n can be any real number.
Given information-
The polynomial equation given in the problem is,
8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
Let the above polynomial is. Thus,
f(m,n) = 8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³
The terms with the same base and exponents can be added or subtracted from each other. Thus solve the equation further as,
f(m,n) = ( 8mn⁵ - mn⁵ ) -2m⁶ + ( 5m²n⁴+9m²n⁴ ) - ( m³n³-4m³n³) + n⁶-4m⁶
f(m,n) = 7mn⁵ - 2m⁶ + 14 m²n⁴ - 5 m³n³ + n⁶- 6m⁶
Arrange it as,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
Thus the polynomial correctly combines the like terms and expresses the given polynomial in standard form is,
f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶
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If 3/7 of people attended a conference are male. how many females attended the conference if the total attendance is 210
A mass of water at 100°c is added to another mass Q of water at a temperature T and the resulting temperature is theta. Describe an expression for theta in terms of the quantities (specific heat capacity of water is 4.2JKg-¹K-¹).
Answer:
Use the formula Where 1. q = Heat Energy 2. m = Mass 3. c = Specific Heat 4. ΔT = Change in temperature. 14640 J = (300 g)(2.44 J/g·°C)ΔT Solve for ΔT: 1. ΔT = 14640 J/(300 g)(2.44 J/g·°C) 2. ΔT = 20 °C 3. ΔT = Tfinal - Tinitial 4. Tfinal = Tinital+ ΔT 5. Tfinal= 10 °C + 20 °C 6. Tfinal= 30 °C Answer:The final temperature of the ethanol is 30 °C.
Mark Brainliest ;)a) Complete the table of values for y = 2x + 3
x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?
Answer:
Step-by-step explanation:
Because the slope of y = 2x + 3 is 2, y increases by 2 for every unit increase in x.
Substituting the given x-value -2 into y = 2x + 3 results in y = -1.
If we now increase x by 1, from -2 to -1, y increases by 2: the new
y value is y = -1 + 2 or y = 1. which agrees with the +1 in the list of y-values.
Again, y = ?,,,1,,,,?,,?,,7,,? becomes y = -1, 1, ?,,?,,7. Note that -1 + 2 = 1;
1 + 2 = 3; 3 + 2 = 5; 5 + 2 = 7 (which agrees with the given 7); 7 + 2 = 9.
So the given incomplete table of values
x,,-2,,-1,,0,,1,,2,,3
y,,,?,,,1,,,,?,,?,,7,,?
becomes:
x,,-2,,-1,,0,,1,,2,,3
y,,, -1,,1,,,3,,5,,7,,9
Which recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1? 6, 1, –4, –9, –14, … f (n 1) = f(n) 5 f (n 1) = f(n) – 5 f (n) = f(n 1 ) – 5 f (n 1) = –5f(n)
The recursive formula is f(n+1)= f(n)-5.
What is recursive function?
Given sequence :
f(1)= 6, n≥1.
Let f(n) denote the nth term of the given sequence.
f(1)= 6
f(2)= 1 = f(1)-5
f(3)= -4 = 1-5= f(2) -5
f(4)= -9 = 1-10 = f(2)-10
and so on
Hence, the recursive formula is f(n+1)= f(n)-5.
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Find the area of AAOB
9√3 un²
3√3 un²
4.5√3 un
Answer:
Step-by-step explanation:
The area of the equilateral triangle is [tex]\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}[/tex]
1. A group of 20 students: 2 freshmen, 4 sophomores, 6 juniors and 8 seniors - are trying to get onto a
committee to select a new math teacher. How many different groups of six can be chosen?
Answer:
38760 ways
Step-by-step explanation:
20 C 6 = 38760
solve for x -
[tex]x {}^{2} - 6x + 5= 0[/tex]
ty! ~
Answer:
x = 5, x = 1
Step-by-step explanation:
Hello!
We can solve this quadratic by factoring.
Solve[tex]x^2 - 6x + 5 = 0[/tex][tex]x^2 - 5x - x + 5 = 0[/tex][tex]x(x - 5) - 1(x - 5) = 0[/tex][tex](x - 5)(x - 1) = 0[/tex]Use the zero product property:
x - 5 = 0x = 5, or x = 1
The cost of an apple is $1.20. What is the cost of 5 apples?
Answer:
0.24
Step-by-step explanation:
$1.20 ÷ 5 = 0.24
To check that we are going to multiply [tex]5 x 0.24 = $1.20\\[/tex]
I hope this helps and have a great day!
10 points! Please help me!
In this case, we must use our trigonometric equations to help us solve this problem:
⇒ look at the diagram attached
Let's examine what the problem wants:
side adjacent to the 41-degree angleLet's examine what the problem gives us:
length of the side opposite the 41-degree angleone angle which has a measure of 41 degreesLet's solve:
[tex]tan(41)=\frac{12}{x} \\12=x*tan(41)\\x=\frac{12}{tan(41)} \\x=13.80[/tex]
Answer: 13.8 (rounded to nearest tenth)
Hope that helps!
Solve for X.
- 4x + 10 = 50
Answer: -10
Step-by-step explanation:
10 x 4 is 40 so with 2 negatives, it turns positive, and 40 plus 10 = 50
Answer:
x=-10
Step-by-step explanation:
-4x+10=50
10=50+4x
-50+10=4x
-40=4x
4x=-40
x=-40÷4
x=-10
A. 3/5
B. 3/10
C. 1/5
D. 1/2
The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.
Answer:
59.1 feet
Step-by-step explanation:
The formula for the circumference of a circle in C=2πr. Since the radius of the circle is given, all you have to do is plug it into the equation.
C=2πr
C=2π(9.4)
C=18.8π feet <-- this is the exact answer
C=59.1 feet
Add 4/13 with the multiplicative inverse of 5 1/5
Answer:
Step-by-step explanation:
Multiplicative inverse of 26/5 is 5/26
(4/13 + 5/26)
13/26 ᴏʀ 1/2
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the distance travelled by motorcycle. b) the displacement
The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.
What is Distance and Displacement ?Distance and Displacement both are the measure of the movement of an Object from one point to another.
Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.
Distance travelled will always be positive but Displacement can be positive , negative and zero.
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure
The missing figure is attached with the answer.
(a) The distance covered by the motorcycle is
2πr = 2 * 3.14 * 5 = 31.4 km
(b) The displacement will be equal to 0 as the starting and the ending point is same.
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Use the standard deviation values of the two samples to find the standard deviation of the sample mean differences.
sample standard deviation
red box 3.868
blue box 2.933
then complete each statement.
the sample size of the session regarding the number of people would purchase the red box,
n
1
, is .
the sample size of the session regarding the number of people would purchase the blue box ,
n
2
, is .
the standard deviation of the sample mean differences is approximately .
The standard deviation of the sample mean differences is 4.854
How to determine the standard deviation of the sample mean differences?The table of values is given as:
Sample Standard deviation
Red box 3.868
Blue box 2.933
The standard deviation of the sample mean differences is calculated using:
[tex]\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}[/tex]
This gives
[tex]\sigma = \sqrt{3.868^2 + 2.933^2}[/tex]
Evaluate the expression
[tex]\sigma = 4.854[/tex]
Also, the table of value do not give any information regarding the sample size.
This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown
Hence, the standard deviation of the sample mean differences is 4.854
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