The time taken for Terick to run one complete mile is determined as 12 minutes
Speed of Chad
The speed of chad is calculated as follows;
s = distance/time
s = (3.25 miles)/(40)
s = 0.08125 miles/min
Total distance ran by Terick2/3 of a mile = 8 mins
1/3 of a mile = ?
1/3 of a mile = 4mins
1 mile = 8 mins + 4 mins = 12 mins
Thus, the time taken for Terick to run one complete mile is determined as 12 minutes.
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Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base 6.4 inches. Find the surface area. Round to the nearest tenth.
The surface area of the square pyramid will be 78.08 square inches.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Given that:-
Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.
The surface area of the square pyramid will be calculated by the formula:-
[tex]SA = P\times\dfrac{l}{2}[/tex]
[tex]SA = 25.6\times \dfrac{6.1}{2}[/tex]
SA = 78.08 square inches
Therefore the surface area of the square pyramid will be 78.08 square inches.
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jessica has 4/8 of a bottle of roitussun on hand the pharmacist instructs to reduce it by 1/2 how much robitussun does the pharmacist need to prepare the prescription
Answer:
1/4
Step-by-step explanation:
4/8 = 1/2
1/2 x 1/2 = 1/4
Which graph represents a reflection of f(x) = One-third(9)x across the x-axis?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 3) and increases to (1.25, 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It goes through (negative 1, 3) and (negative 1.25, 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, negative 3) and (1.25, negative 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 4 and decreases into quadrant 3. It goes through (negative 1, negative 3) and (negative 1.25, negative 7).
Using translation concepts, the graph that represents a reflection of [tex]f(x) = \frac{1}{3}(9)^x[/tex] across the x-axis is:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, - 3) and (1.25, -7).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the function is:
[tex]f(x) = \frac{1}{3}(9)^x[/tex]
Which approaches y = 0 in quadrant 2 and increases into quadrant 1. For the reflection over the x-axis, the function assumes inverse(negative) values, that is, quadrant 2 -> quadrant 3 and then quadrant 1 -> quadrant 4, hence the correct statement is:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, - 3) and (1.25, -7).
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The graph which represents a reflection of f(x) = One-tenth(10)x across the y-axis is:
B. On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1).
Coordinate Plane
This refers to the two-dimensional surface which is made up of two number lines, x and y.
With this in mind, we can see that from the complete text, we can see that the given graph on the function of x on the y-axis is on a coordinate plane.
Therefore, the correct answer is option B
40600 in standard form
Answer:
40600 = 4.06 × 104.
Step-by-step explanation:
Given the equation below, which of the following shows the quadratic formula
correctly applied?
2x² -9x+4 =0
Answer:
Step-by-step explanation:
[tex]x=\frac{-(-9)\pm\sqrt{(-9)^2-4(2)(4)} }{2 \times 2} \\x=\frac{9\pm\sqrt{81-32} }{4} \\x=\frac{9\pm\sqrt{49} }{4} \\x=\frac{9 \pm 7}{4} \\either~x=\frac{9+7}{4} =\frac{16}{4} =4\\or\\x=\frac{9-7}{4} =\frac{2}{4} =\frac{1}{2}[/tex]
What is the circumference of a circle with a diameter of 5 feet? Use 3.14 for
TT.
Answer: 15.7
Step-by-step explanation:
[tex]C=\pi d\\\\C=5\pi[/tex]
Using [tex]\pi=3.14[/tex], we get [tex]C \approx 5(3.14)=\boxed{15.7 \text{ ft}}[/tex]
[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]
___________________________________________________________
Answer: Circumference = 15.7 ft ✅
Step-by-step explanation:
Do you need to know the circumference of a circle with a diameter of 5 ft? No problem! Luckily, there's a formula to find it! (:
CircumferenceLet's work out the circumference. This is the formula that is going to help us. [tex]\rightsquigarrow\boldsymbol{C=\pi d}[/tex] C=circumference π=pi d=diameter
Now, stick in the values (note that we can use 3.14 for pi; pi is irrational, so we use 3.14 instead of pi to avoid irrational numbers)
[tex]\boldsymbol{C=3.14\cdot5}[/tex]. Upon simplifying we obtain
[tex]\boldsymbol{C=15.7\;ft}[/tex]. Which is our final answer.
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Hope that this helped! Best wishes.
[tex]\boldsymbol{Reach \quad far. \quad Aim \quad high. \quad Dream \quad big.}[/tex]
#StudyWithBrainly (:
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Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2).
Parallel lines have equivalent slopes, so as the slope of the given line is 1, the slope of the line we want to find is also 1.
Substituting into point-slope form and rearranging into slope-intercept form,
[tex]y-2=1(x+6)\\\\y-2=x+6\\\\\boxed{y=x+8}[/tex]
true or false
The slope of the least-squares regression line is the average change in the predicted
values when the explanatory variable increases by 1 unit. [Select]
Answer:
false fake false false false.............
Step-by-step explanation:
.....,........................
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable
solution if x represents the number of days that a library book is late and y represents the total fee?
The equivalent equation to find the ordered pair will be y=0.3x where x represents the number of days the book is late and y represents the total fine fee.
A linear equation is an equation where the highest degree in the equation is 1.
for example, y=mx,
where y and x is the variable and m, is the constant.
Given, that the librarian charges $0.30 per each day that the book is late to submit
for estimating the relation between the number of days the book is late and the total fine fee
Let's assume the number of days the book is late is x,
and the total fine is y
the librarian charges $0.30 per one day
so for x days, the total charge will be =0.30x
so from above, it is clear that the linear equation will be
y=0.3x
applying all the order pairs in this equation we can decide.
The equivalent equation to find the ordered pair will be y=0.3x
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if 50 grams of sweets cost 250 rupees find the cost of 380 grams of sweets.
38. How much does Mike Carson earn every
day?
A. $89.33
B $76.80
C. $27.00
D. $9.60
39. Mike Carson takes home approximately
what percent of his gross pay?
A. 33%
B. 50%
C. 75%
D, 90%
40. Approximately what percent of total
carnings is deducted for city and state
withholding tax?
A. 3%
B. 10%
C. 15%
D. 25%
Select the graph for the solution of the open sentence. Click until the correct graph appears.
3|x| > 6
I would really appreciate the help!:)
The solution of the inequality will be x > 2 and x < -2. And the graph is drawn below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
The inequality is given below.
3|x| > 6
By solving the equation, we have
|x| > 2
x > 2
x < -2
Then the graph will be drawn.
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Use interval notation to indicate all real numbers between and including −3 and 5.
Answer:
[-3,5]
Step-by-step explanation:
Interval notation is a shorthand way of writing and interval of values. To describe an interval, imagine the two endpoints on the number-line. Then, list the two endpoint values, leftmost point from the number-line first, separated by a comma. Lastly, include the appropriate brackets for each endpoint:
Only two brackets total will be used for each interval, a bracket to start it, and one bracket to end it.If a number is included, a square bracket should be used -- either "[" or "]"If the endpoint number is not meant to be included, a 'curved bracket' (which we usually just call a parenthesis) should be used -- either "(" or ")"For our situation, the two endpoints are -3 and 5. -3 is to the left of 5 on the number-line, so -3 should be listed first
[tex]-3,5[/tex]
Lastly, the directions say "including -3 and 5", so both endpoints should be included.
To include the -3 on the left, we'll use "["To include the 5 on the right, we'll use "]"The final result for the interval is [tex][-3,5][/tex]
A hyperbola centered at (7, 0) has a focus at (7, 5) and vertex at (7, 4). Which is the equation of the hyperbola in standard form?
quantity x minus 7 end quantity squared over 16 minus y squared over 9 equals 1
quantity x minus 7 end quantity squared over 25 minus y squared over 16 equals 1
y squared over 16 minus quantity x minus 7 end quantity squared over 9 equals 1
y squared over 25 minus quantity x minus 7 end quantity squared over 16 equals 1
Based on the calculations, the equation of this hyperbola in standard form is: A. [tex]\frac{x\;-\;7}{16} + \frac{y}{9} = 1[/tex].
How to determine the equation of a hyperbola?Mathematically, the equation of a hyperbola in standard form is given by:
[tex]\frac{x\;-\;h}{a^2} + \frac{x\;-\;k}{b^2} = 1[/tex]
Given the following data:
Center (h, k) = (7, 0)
Vertex (h+a, k) = (7, 4)
Focus = (h+c, k) = (7, 5)
Also, we can deduce that the value of a and c are 4 and 5 respectively.
For the value of b, we would apply Pythagorean's theorem:
c² = a² + b²
b² = c² - a²
b² = 5² - 4²
b² = 9.
Substituting the parameters into the standard equation, we have:
[tex]\frac{x\;-\;7}{4^2} + \frac{y\;-\;0}{3^2} = 1\\\\\frac{x\;-\;7}{16} + \frac{y}{9} = 1[/tex]
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If f(1) = 2 and f(n) = f(n − 1)² + 4 then find the value of ƒ (3).
Answer:
f(3) = 68
Step-by-step explanation:
→ f(1) = 2 ⇒ f(2) = f²(2 − 1) + 4
= f²(1) + 4
= 2² + 4
= 8
………………………………………………
→ f(2) = 8 ⇒ f(3) = f²(3 − 1) + 4
= f²(2) + 4
= 8² + 4
= 64 + 4
= 68
The vertices of a trapezoid are points (0,x), (0,0), (y,0), and (z,x). Find the area in terms of x, y, and z.
I put 1/2x (y+z), I just want to make sure! thank you.
Your answer is correct. The two "bases" of the trapezoid are the line segments (0, 0)-to-(y, 0) and (0, x)-to(z, x), with lengths y and z, respectively. Then the average of the bases is [tex]\frac{y+z}2[/tex]. (We know they're the bases because the line segments are parallel.)
We multiply this by the height, which is given by the length of the line segment (0, 0)-to-(0,x), or x.
Hence the area is
[tex]\dfrac{x(y+z)}2[/tex]
(which is identical to what you have).
need to know asap
Which of the following best describes the correlation between two variables if the correlation coefficient is -0.544?
weak positive
weak negative
strong negative
strong positive
PLEASE HELP EMERGENCY
Answer:
C. Lines with congruent alternate interior angles are parallel.
Which of the following could represent the
interval (5, 100]? Select two that apply.
Answer:
5 < x ≤ 100
(this is inequality form)
{x| 5 < x ≤ 100}
(this is set notation form)
(options B and C)
Step-by-step explanation:
In interval notation,
( or ) : does not include value
[ or ] : does include value
{and remember:
< or > : does not include value
≤ or ≥ : does include value}
when we write something in interval notation, the range of values is from (lowest value, highest value)
for this equation, we know that we are looking for : (5, 100]
which means that the range of numbers goes from
5 (does not include 5) to 100 [does include 100]
so, x > 5 (not equal to); x ≤ 100
we can combine these two concepts: 5 < x ≤ 100
(inequality form)
{when {x | ...} is present, it means the same thing as without it, so
{x| 5 < x ≤ 100} is also correct
(set notation)
hope this helps!!
Answer:
B and C
Step-by-step explanation:
from interval notation we are including 100 but not 5,
x > 5 and x ≤ 100
so B and C are correct
Solve, finding all solutions in [0, 2(pi)]
Answer:
x = π/12, 5π/12
Step-by-step explanation:
We can work this problem a couple of ways. We can convert it to single trig function, shifted horizontally. Or we can convert it to a double-angle equation.
__
horizontal shiftWe recall the sum of angles formula is ...
sin(x+y) = sin(x)cos(y) +cos(x)sin(y)
Using this, we can rewrite the left side of the equation using some angle offset y, and some scale factor k.
k·sin(x +y) = k·sin(y)·cos(x) +k·cos(y)·sin(x) = 2cos(x) +2sin(x)
finding the shift
Equating coefficients of cos(x) and sin(x), we can solve for k and y:
k·sin(y) = 2
k·cos(y) = 2
The ratio of these equations is ...
(k·sin(y))/(k·cos(y)) = 2/2
tan(y) = 1 ⇒ y = π/4
k = 2/sin(π/4) = 2√2
shifted equation
So, our original equation becomes ...
2√2·sin(x +π/4) = √6
Dividing by √2 and using the inverse sine function, we have ...
x +π/4 = arcsin((√3)/2) = π/2 ±π/6
x = π/4 ±π/6
x = π/12, 5π/12
__
double-angle equationIf we square both sides of the original equation, we get ...
(2sin(x) +2cos(x))² = (√6)²
4sin²(x) +8sin(x)cos(x) +4cos²(x) = 6
2sin(x)cos(x) = (6 -4)/4 = 1/2 . . . . use sin² +cos² = 1, subtract 4, divide by 4
Using the trig identity 2sin(x)cos(x) = sin(2x), we can find ...
2x = arcsin(1/2) = π/2 ±π/3 +2kπ . . . . k = an integer;
x = π/4 ±π/6 +kπ . . . . for integer k
x = {π/12, 5π/12, 13π/12, 17π/12}
We know that squaring the equation can introduce extraneous solutions, so we need to try these out. For x in the third quadrant, the sine and cosine values are both negative, so the only useful solutions here are ...
x = π/12, 5π/12
_____
Additional comment
Based on the above, we now know that any trig expression of the form ...
a·sin(x) +b·cos(x)
can be rewritten to the form ...
(√(a² +b²))·sin(x +arctan(b/a)) . . . . . a scaled and shifted sine function
The arctangent will have to take the signs of 'a' and 'b' into account in order to get the angle quadrant right.
. . . , , ,
help please
The system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3
How to determine the inequalities?The complete question requires that we determine the system of inequalities of the graph (the graph is attached)
Going by the list of options, the equation of the quadratic curve is:
y = x² + 2x - 3
From the graph, we can see that:
The curve uses a dotted lineThe upper part is shadedThe above means that the inequality is greater than i.e. >
So, we have:
y > x² + 2x - 3
The above eliminates options (b) and (c)
From the graph, we can see that the straight line has a positive slope, a dotted line and the upper part is shaded.
The linear inequality in option (a) has the above characteristics.
So, the inequality is:
y > 2x + 3
Hence, the system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3
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Fill in the missing (yellow) exterior angle with (5x) to solve for x. Diagram may not be to scale.
Step-by-step explanation:
the sum of all exterior angles in a polygon is always 360° (one time around the full circle).
so,
360 = 71 + 85 + 44 + 3x + 5x = 8x + 200
160 = 8x
x = 20
The frequency table shows the results of a survey asking people how many
hours they spend online per week. On a piece of paper, draw a histogram to
represent the data. Then determine which answer choice matches the
histogram you drew.
Hours online Frequency
5
8
10
9
7
0-3
4-7
8-11
12-15
16-19
Based on the frequency table given, The option that closely matches the histogram I drew is option C but the last one suppose to be 7 and not 6.
What is the histogram about?Hours online Frequency
5 0-3
8 4-7
10 8-11
9 12-15
7 16-19
Note that in the image attached, you can see how the Hours online were said to be matched with the Frequency.
So since option A and B was not shown to see which matches the option, i can say option c is closest but if look at my own image, you can use it to find the right one.
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Mrs. jones has a body fat to body mass of 1:3.She has a body mass of 60kg.
Answer:
20 kg of body fat
Step-by-step explanation:
Multiple both sides of the ratio so that the side with body mass is 60 kg:
body fat : body mass
1 : 3
× 20 × 20
20 kg : 60 kg
Mrs. Jones has 20 kg of body fat.
Question 10 of 33
Which of the following is a characteristic of a regular tessellation?
O A. It uses only one type of regular polygon.
OB. It uses more than one type of regular polygon.
O C. It allows for overlaps and spaces between shapes.
OD. It does not cover a surface completely.
SUBMIT
A tessellation that uses only one type of regular polygon.
What is Polygon?
The definition of a polygon is given as a closed two-dimensional figure with three or more straight lines.
When we cover a surface with a pattern of a flat geometric shapes such that there should have no overlaps or gaps, then the surface is called a tessellation.
A regular tessellation is tessellation made up by using only one type of regular polygon. These are made up of entirely congruent regular polygons all that joining vertex to vertex.
Hence, A is the correct option.
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Use the graph or table to find the equation that represents the relationship.
please HELP!!!!!!
100 points and a Brainliest if your answer is clear and correct
#1
(5,-10)(10,-25)Find slope
m=-25+10/10-5m=-15/5m=-3y=-3x+5 is the equation as there is no other having slope -3
#2
(7,3)(1,-3)slope
m=-3-3/1-7m=-6/-6m=1y=x-4 as no other have slope m
#3
(0,-1)y intercept is -1
y=2x-1 is the equation as it has y intercept -1
#4
(0,-4)y intercept is -4
y=4/5x-4Graph the function f(x) = x+4 -1.
This can be simplified to [tex]f(x)=x+3[/tex], and is thus a line with a slope of 1 and a y-intercept of 3.
Given f(x) = 8x+1 2x-9 O As x-00, f(x) → 9; as x → ∞o, f(x) → 9. -> - O As x-00, f(x) O As x-00, f(x) O As x-00, f(x) - - what is the end behavior of the function? ->> -9; as x -4; as x ∞o, f(x) → -9. - ∞o, f(x) → -4. - 4; as x → ∞o, f(x) → 4. -> - Given f ( x ) = 8x + 1 2x - 9 O As x - 00 , f ( x ) → 9 ; as x → ∞o , f ( x ) → 9 . - > - O As x - 00 , f ( x ) O As x - 00 , f ( x ) O As x - 00 , f ( x ) - - what is the end behavior of the function ? - >> -9 ; as x -4 ; as x ∞o , f ( x ) → -9 . - ∞o , f ( x ) → -4 . - 4 ; as x → ∞o , f ( x ) → 4 . - > -
Answer:
D
After graphing, you can analyze it accordingly.
Which is the rate of change for the interval between 3
and 6 on the x-axis?
O -3
O -2
0 2
O 3
Answer: 2
Step-by-step explanation:
When x = 3, y = -2.
When x = 6, y = 4.
The average rate of change over the interval is:
[tex]\frac{-2-4}{3-6}=\frac{-6}{-3}=\boxed{2}[/tex]
If the center of a circle is at (5,-7)
and its radius is 6, complete its
equation:
Answer:
(x-5)²+(y+7)²=36
or
x²+y²-10x+14y+38=0
