Answer:
40 miles
Step-by-step explanation:
10X4
The answer is 40 miles
-------------------------------------------------------
If he consistently rides ten mph (miles per hour) for 4 hours (4*10) he would have ridden 40 miles.
Which expression has a value of 16 when n = 5?
StartFraction 25 Over n EndFraction + 7
30 minus 3 n
7 + StartFraction 45 Over n EndFraction
n cubed minus 114
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
To solve the problem substitute the value of n as 5 in each expression and then simplify to check if it equals to 16 or not.
A.) (25/n) + 7
= (25/5) + 7
= 12
This is not the required expression.
B.) 30 - 3n
= 30 - 3(5)
= 15
This is not the required expression.
C.) 7+ (45/n)
= 7 + (45/5)
= 7 + 9
= 16
This is the required expression.
D.) n² - 114
= (5)³ - 114
= 125 - 114
= 11
This is not the required expression.
Hence, the correct option is C.
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Given the system of inequalities: 4x – 5y < 1 one-halfy – x < 3 which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6
The slope- intercept is y> (1-4x) / 5 and y< 2x + 6
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
4x – 5y < 1 and 1/2y – x < 3
Solving
4x – 5y < 1
-5y < 1- 4x
-y < (1-4x) / 5
y> (1-4x) / 5
Now, the second inequality,
1/2y – x < 3
1/2y< 3+x
y< 2x + 6
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A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion’s position in relation to sea level?
Answer:
The sea lion dives 24 feet.
Step-by-step explanation:
A seal (S) dives 15 feet.
A sea lion (SL) dives 6 feet less than 2 times the seal's dive. That can be expressed as:
SL = 2S -6
Since we know S = 15, we can say:
SL = 2*(15) - 6
SL = 24 feet
The sea lion dives 24 feet.
The area of this rectangle is 270 cm².
Work out the value of y.
(5r-8) cm
(3x + 6) cm
y cm
Not drawn accurately
Answer:
the area of rectangle is 270 cm and its length is 18 cm
the breath of the perimeter of given rectangle respectively
used concept
area of rectangle l into b where is is v is breadth of the rectangle perimeter of rectangle 2 into l + b where I and b stands for same as the
solution
let's the length of rectangle is equal to l is equal to 18 cm
breath of rectangle is is equal to b is equal to
area of rectangle is equal to 270 CM
now according to the question and l into b is equal to a
18 into b is equal to 1070
b is equal to 270 upon 18
b is equal to 15 CM
p no no perimeter of the rectangle is equal to 2 into l + b
2 multiply 18 + 15
2 X 33
is equal to 66 cm
therefore the breath and the perimeter of rectangle are 15 cm and 66 respectively
Find the value of x,y and z
Answer:
x = 95°
y = 40°
z = 95°
Step-by-step explanation:
a = 45° (Vertical angles)y = 40° (corresponding angles)z = 180° - (45° + 40°) (Interior angle sum theorem of a triangle)-> z = 180° - 85°-> z = 95°x = z (vertical angles)-> x = 95°A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x.
What does the y-intercept represent?
the estimated amount of years the farm can afford feed
the maximum feed per day estimated for the life of the farm
the estimated amount of feed per day for the start of the farm
the maximum years the farm needs the originally estimated feed per day
The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.
What is a function ?A function is a law that relates two variables , independent and dependent variable.
It is given that
On y axis , amount of feed used each day in thousands of pounds,
On x axis, number of years since the farm began operating
The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.
Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.
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Please Help!!!!!
Write the equation of a parabola with focus (-1, 3) and directrix x = -5. Also include a sketch of the parabola. Show all your work.
Answer:
Equation of parabola is (x+1)²=20(y-3)
Step-by-step explanation:
And the graph above
(x+1)²=20(y-3) is the equation of a parabola with focus (-1, 3) and directrix x = -5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given, focus : (-1, 3)
directrix : x + 5 = 0 or x=-5
Let (x ,y) is the point on the parabola .
∴ distance of point from focus = distance of point from directrix
√(x+1)²+(y-3)²=|x+5|
Let (x ,y) is the point on the parabola .
∴ distance of point from focus = distance of point from directrix
√(x+1)²+(y-3)²=|x+5|
squaring both sides,
(x+1)²+(y-3)²=(x+5)²
(x+1)²=20(y-3)
Hence, (x+1)²=20(y-3) is the equation of a parabola with focus (-1, 3) and directrix x = -5.
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Kevin earns $240,000 a year as a surgeon. He contributes $20,500 to
his pre-tax 401(k) retirement account and pays the government 28% of his
remaining salary per year. How much is his net pay?
Using proportions, it is found that his net pay is of $158,040.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
His first discount is for the retirement account, hence the taxable amount is:
T = 240000 - 20500 = $219,500.
He pays 28% of that in taxes, hence his net pay is of 100 - 28 = 72% of $219,500, hence:
N = 0.72 x 219500 = $158,040.
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Please help me on this question!
Answer:
u = 10 ft
Step-by-step explanation:
cuboid volume = w × h × l
width * hight * length
560 = 7 × 8 × u
u = 10 ft
Answer:
u = 10 ft
Step-by-step explanation:
Volume of a rectangular prism = lwh
where:
l = lengthw = widthh = heightGiven:
Volume = 560 ft³width = 7 ftlength = 8 ftheight = uSubstitute the given values into the formula and solve for h:
⇒ 560 = 8 × 7 × u
⇒ 560 = 56u
⇒ 56u ÷ 56 = 560 ÷ 56
⇒ u = 10 ft
Therefore, the height of the prism is 10 ft.
please help me. I really need to get this right. I appreciate the hard work
A function assigns the values. The value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of g(x) can be found by substituting the value of x as given in the function. Therefore, the values will be,
A.) x = -1
[tex]g(-1) = 6(\dfrac32)^{-1}\\\\g(-1) = 4[/tex]
B.) x = 0
[tex]g(0) = 6(\dfrac32)^0\\g(0) = 6[/tex]
C.) x = 1
[tex]g(1) = 6(\dfrac32)^1\\\\g(1) = 9[/tex]
D.) x = 2
[tex]g(2) = 6(\dfrac32)^2\\\\g(2) = 13.5[/tex]
Hence, the value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.
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answer?.............
Answer:
-21
Step-by-step explanation:
Chris wants to create a rectangular rose garden in a yard. he has 40 meters of fencing to go around the garden and he has to use it all. pick two ways he could construct the garden
Answer:
4x10 8x5
Step-by-step explanation:
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
Using proportion, the equivalent units of the following units rounded to the nearest hundredth are as follows:
6km = 3.73 miles2.5 Litres = 0.66 gallons90 pounds = 40.82 kgHow to use proportion to find equivalent units?Using proportion,
1.60934 km = 1 miles
6 km = ?
cross multiply
distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles
1 litre = 0.264172 gallons
2.5 litres = ?
volume(gallons) = 2.5 × 0.264172 = 0.66 gallons
1 pounds = 0.453592 kg
90 pounds = ?
cross multiply
weight(kg) = 40.82328 = 40.82 kg
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answer?.......................
When we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.
The given function is [tex]y=2-\sqrt{x}[/tex].
We need to find which is the graph of the given function from the options.
What are coordinates?In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Take, x=0, 1, 4, 9, 16, 25, 36,....
Now, when x=0, y=2.
When x=1, y=1.
When x=4, y=0.
When x=9, y=-1
So, when we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.
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Write the quadratic equation whose roots are 3 and 1, and whose leading coefficient is 1
Answer:
x² - 4x + 3 = 0
Step-by-step explanation:
given roots x = a and x = b then the corresponding factors are
(x - a) and (x - b)
the equation is then the product of these factors , that is
(x - a)(x - b) = 0
given
roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then
(x - 3)(x - 1) = 0 ← expand factors using FOIL
x² - 4x + 3 = 0
Se calcula que el 2013 habia 19,000 árboles en la ciudad. el año 2014.para prevenir caídas de árboles viejos, se corto el 2% y el 2015 se quemó en un incendio el 5% de lo que quedaba
A) En que porcentaje disminuyó el número de árboles de 2013 a 2015?
B) Cuantos árboles quedan en esta ciudad a fines del 2015?
Answer:
yyjyidsksjsjsosiddhdoehsudidhdhsjidjsjsjejsksksksjsjsjdd
Games Made x
(in 1000s)
Profit y
(in $1000s)
4
6
8
10 12
118 142 150 142 118
Which type of function best models the data in the
table? Justify your choice.
The type of function that best models the data in the table is the quadratic function
How to determine the function type?The table of values is represented as:
x: 4 6 8 10 12
y : 118 142 150 142 118
From the above table, we can see that:
The y values increase from 118 to 150The y values then decrease to 118The x values increaseThis is only possible in a quadratic function
Hence, the type of function that best models the data in the table is the quadratic function
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ST
6
9
10
Which phrase best describes the translation from the graph y = 2x² to the graph of y = 2x² + 5?
O 5 units up
O 5 units down
O 5 units right
O 5 units left
The answer to the question is 5 units up.
Which of the following equations have exactly one solution?
Choose all answers that apply:
the equations that will have only one solution are:
19x - 18 = -19x + 18 (option c)19x + 18 = -19x + 18 (option d)When we have only one solution?
An equation of the form:
a*x + b = c*x + d
Has one solution only if a ≠ c.
With that in mind, we can see that the equations that will have only one solution are:
19x - 18 = -19x + 18 (option c)
19x + 18 = -19x + 18 (option d)
In the other two cases, the slopes of the linear equations are equal, so these equations have no solutions or infinite solutions.
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how to round to 4 decimal places using calculator with the given number of tan 30
Answer:
0.5774
Step-by-step explanation:
1) Input tan(30) into a calculator to get 0.5773502692...
2) To count 4 decimal places, we start after the decimal point. This means that we end it at the first 3. Additionally, we round 3 up to 4 because of the digit after it which is 5.
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
What is the tangent of 30, rounded to 4 decimal places?
.
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
First, let's focus on this phrase - "tan 30"
.
What in the world could that possibly mean?
"tan" is the tangent, which is one of the six trig ratios.
.
The simplest way to find the tangent of 30 degrees is ... with a calculator!
[tex]\bf tan\quad 30 \approx 0.5774[/tex]
The answer has been rounded to 4 decimal places, like you asked.
Since the fifth decimal place was more than 5, I added 1 to the fourth decimal place - 0.5774, and not 0.5773.
[tex]\rule{300}{1.7}[/tex]
[tex]\bf tan 30\approx 0.5574. \quad Hope\;you\;will\;have\;a\;fantabulous\;day![/tex]
~ [tex]\boxed{\bf aesthetic\;\not{101}}[/tex]~
Smallest to greatest 4/9, 4.9, 49%
Answer:
4/9, 49%, 4,9
Step-by-step explanation:
4/9=0,444444
49%=0,49
4,9=4,9
Given that h={A,E,I,O,U},which is the number of possible subsets of set h
There are 32 subsets of the set h.
We have given that h={A,E,I,O,U},
We should count the elements of the set, then put that number as the exponent of 2.
What is the subset?A set A is a subset of another set B if all elements of set A are elements of set B. In other words, set A is contained inside set B.
Remember that 2 should always be the base in finding the number of subsets: 2^5=32
Therefore there are 32 subsets of the set h.
Here set h is denoted by small h but the set is always denoted by capital letters.
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Solve 6x+7=3x+16
X=6
X=3
X=4
X=2
Answer:
x=3
Step-by-step explanation:
6x-3x=16-7
3x=16-7
3x=9
x=3
Simplify the expression when j = 5 and k = 3
*
1 point
Captionless Image
3
-9/5
41/3
6
Answer:
1 7
_
8
Step-by-step explanation:
5 x 3 = 15
5 + 3 = 8
=1 7
_
8
3n-5p+2n=10 solve for n
Answer:
n=3p
Isolate the variable by dividing each side by factors that don't contain the variable.
Does the chart below represent a proportional relationship? What is the rate of change?
x
y
1
4
2
7
3
10
4
13
Answer:
C will be your answer.
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Question 1 of 5
Select the correct answer.
Which expression is equivalent to 6√z ÷ 3√8z, if z> 0?
36/2
O 3
33/z
3√22
Submit
The expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]
Simplifying an expressionFrom the question, we are to determine which of the expressions is equivalent to the given expression
The given expression is
[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]
The expression can be simplified as
[tex]6\sqrt{z} \div \sqrt[3]{8z}[/tex]
[tex]\frac{6\sqrt{z}}{\sqrt[3]{8z}}[/tex]
[tex]= \frac{6 \times \sqrt{z}}{\sqrt[3]{8} \times \sqrt[3]{z}}[/tex]
[tex]= \frac{6 \times z^{\frac{1}{2} } }{2 \times z^{\frac{1}{3} }}[/tex]
[tex]= 3\times z^{\frac{1}{2} -\frac{1}{3}}[/tex]
[tex]= 3\times z^{\frac{1}{6}}[/tex]
[tex]= 3\times\sqrt[6]{z}[/tex]
[tex]= 3\sqrt[6]{z}[/tex]
Hence, the expression that is equivalent to the given expression is [tex]3\sqrt[6]{z}[/tex]
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Can someone please help
Answer:
Option 1
Step-by-step explanation:
Angle bisector:
Angle bisector is a line that divides the angle into two equal angles.
⇒ ∠KLM = ∠MLN
simplify 2e + 3f + 7e + 5f
convert the following numbers into scientific notation
3,400=
0.000023=
4.50=
1,000,000=
0.00671=
The Scientific notation of given numbers are [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
Therefore, the Scientific notation of given numbers are [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].
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