Answer:
56.32 Miles per hour
Step-by-step explanation:
Take the total distance travel (2450) and divide that by the time (43.5) to get the mph. Hope this helps!
Which of the following is the equation of a line perpendicular to the line y =
- 10x + 1. passing through the point (5.7)?
Answer:
y - 7 = (1/10)(x - 5)
Step-by-step explanation:
Next time please share the possible answers. Thank you.
Any line perpendicular to y = -10x + 1 has the slope +1/10, which is the negative reciprocal of -10.
Using the point-slope formula, we get:
y - 7 = (1/10)(x - 5)
To cater a brunch, Lewis' Eats charges a $130 setup fee plus $12.50 per person. The cost of Jackson Enterprise's annual holiday party cannot exceed $1500. Jackson Enterprise hires Lewis' Eats to cater their annual holiday party. Solution A: 130 + 12.50p 1500 D: 130 + 12.50p ≤ 1500
Answer:
The answer is solution D.
Step-by-step explanation:
130 + 12.50p ≤ 1500
The 130 is the setup fee
The 12.50 is the amount to pay per person
p means the number of people
The symbol ≤ means smaller than or equal to so it could be either of those
The 1500 is the max amount of money that they could spend for the party.
Find the missing side to the triangle in the attached image.
Answer:
15Solution,
Hypotenuse(h)= 25
Base(b)= 20
perpendicular (p)= X
Now,
Using Pythagorean theorem:
[tex] {p}^{2} = {h}^{2} - {b}^{2} \\ {x}^{2} = {25}^{2} - {20}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = \sqrt{ {15}^{2} } \\ x = 15 [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 20² = 25² , that is
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
please asap thanks :D
Answer:
f, g, and h only
Step-by-step explanation:
The letters are the variables.
5.1
Mdm Ong had a basket of pears.
When she met Jason, she gave him 10 pears.
When she met Ben, she gave him of the remaining pears in the basket.
2
If Mdm Ong was left with 5 pears in the basket, how many pears did she have
at first?
Answer:
17
Step-by-step explanation:
That makes it
10+2+5 =17
Answer:
16
Step-by-step explanation:
that makes this type
10+5+2 : 17
PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?
Hey there! :)
Answer:
y = 0, also known as the x-axis.
Step-by-step explanation:
The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.
There is an asymptote at y = 0, or the x-axis because:
[tex]\frac{2}{3} ^{x}\neq 0[/tex]
An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.
Please help me. Area of a circle
Answer:
Area = πr²
= π * 2²
= 3.14 * 4
= 12.6
Answer:
[tex] \boxed{\sf Area = 12.6 \: {cm}^{2}} [/tex]
Given:
Radius of circle (r) = 2 cm
To Find:
Area of circle
Step-by-step explanation:
[tex] \sf Area \: of \: circle = \pi {r}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {2}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3.14 \times 4 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =12.56 \: {cm}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \approx 12.6 \: {cm}^{2} [/tex]
Find the number of 4-digit numbers that contain at least three odd digits.
Answer:
3000
Step-by-step explanation:
First find the 4 digit numbers that have all odd digits
Possible Odd digits =5(1,3,5,7,9)
So, total number of 4 digit numbers with odd digits can be calculated as =5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the first digit as either 2,4,6,8 ( 0 would make it a 3 digit number)
The first digit can be 2,4,6,8
=4×5×5×5=500
Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8
=5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the third digit as either 0,2,4,6,8
Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8
=5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the fourth digit as either 0,2,4,6,8
=5×5×5×5=625
Add them together
625+500+625+625+625=3000
Answer:
3000
Step-by-step explanation:
4*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5 = 3000
What is the slope of a line that is parallel to the line represented by the equation y=7/6x+4
Use the figure at the right. If JK = 3x + 4 and NO = 11, what is the value of x?
If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
Answer: c) 27:8
Step-by-step explanation:
As volume of cube is side^3
volume of cube with side 2a is 8.a^3
volume of cube with side 3a is 27.a^3
ration of volumes is 27:8
Find the value of: [tex]\frac{1}{2\cdot 4}+\frac{1}{4\cdot 6}+\frac{1}{6\cdot 8}+ ... + \frac{1}{48\cdot 50}[/tex]
at which vertex is the objective function C=3x-4y minimized
Options
(A) (9,0) (B) (-2,20) (C) (-5,2) (D) (0,-9)
Answer:
(B) (-2,20)
Step-by-step explanation:
Given the objective function, C=3x-4y
The vertex at which C is minimized will be the point (x,y) at which the expression gives the lowest value.
Option A
At (9,0), x=9, y=0
C=3(9)-4(0)=27-0
C=27
Option B
At (-2,20), x=-2, y=20
C=3(-2)-4(20)=-6-80
C=-86
Option C
At (-5,2), x=-5, y=2
C=3(-5)-4(2)=-15-8
C=-23
Option D
At (0,-9), x=0, y=-9
C=3(0)-4(-9)=0+36
C=36
The lowest value of C is -86. This occurs at the vertex (-2,20).
Therefore, the objective function C=3x-4y is minimized at (-2,20).
60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys chose fishing. The remaining boys did not complete the survey. Which expression gives the percent of survey participants who chose fishing?
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]\frac{29}{47} * 100[/tex]
▹ Step-by-Step Explanation
29 + 18 = 47 → 29/47
Total boys → 100
29/47 * 100
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
The answer is gonna be 29/47 * 100
the solution of the pair of linear equation: 2x+3y=6 and 3x-5y=2 are.............
Step-by-step explanation:
just simplify the above equation and substitute in the second one.
Answer:
Step-by-step explanation:
2x+3y=6 -----1
3x-5y=2-----2
solving by elimination method,
multiply eq1 with3
multiply eq2 with2
you will get,
6x+9y=18----3
6x-10y=4----4
eq3-eq4=
19y=14
y=14/19------5
substitute eq 5 in eq 1
you will get,
x=50/19...
hope it helps...pls mark brainliest if it does...
It’s a hot hard to understand. Can anyone help me?
Answer:
x+1/4 + x + 2/ 3
Step-by-step explanation:
To write x+1 /4 as a fraction with a common denominator, multiply by 3/3
To write x+2/3 as a fraction with a common denominator, multiply by 4/4
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1
Combine the numerators over the common denominator
(x+1) x 3 + (x+2) x 4 / 12
Answer Is: 7x+ 11/ 12
2 Points
What are the zeros of f(x) = x2 - 8x+16?
A. x=-4 and x = 4
B. x= -2 and x = 8
C. X= 4 only
D. x= -4 only
Answer:
C
x²-8x+16
=(x-4)²
(x-4)²=0
x-4=0
x=4
Write the equation of the line, in standard form, that passes through the points (-2, 2) and (4, 5). Show all work for credit.
Answer:
x - 2y + 6 = 0
Step-by-step explanation:
Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3. Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.
Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get
2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3. Then the slope-intercept form of the desired equation is y = (1/2)x + 3. To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or
x - 2y + 6 = 0
What is the order of rotational symmetry of a regular hexagon
Answer:
Step-by-step explanation:
the order is 6
What percent of 1/2 is 1/4? (Round to the nearest whole percent.)
Answer:25
Step-by-step explanation:
what angles have a measure of 135°
Answer:
Sorry it's 6,2,3. I didn't see the pic
Answer:angles 6, 3, 2
Step-by-step explanation:
The angles opposite are the same
Based on slope, how do you know when two lines are perpendicular? A. The slope of one line must be equal to reciprocal of the other for the two to be perpendicular. B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular. C. If the slopes of the 2 lines are equal, then they are perpendicular. D. The slope of one line must be the negative of the other slope for the two to be perpendicular.
Answer:
B
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means they have opposite signs (negative) and their numerators and denominators are switched ( reciprocal).
For example, these slopes are perpendicular:
3/2 and -2/3
(3/2--negate--> -3/2---> reciprocal--> -2/3)
Therefore, the answer is B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular.
What is the volume of the cylinder? ANSWERS: A) 2,010.62 ft.3 B) 1,158.79 ft.3 C) 1,020.02 ft.3 D) 1,696.46 ft.3
Answer:
A) 2,010.62 ft^3
Step-by-step explanation:
V = (pi)r^2h
r = d/2 = 8 ft
V = (3.14159)(8 ft)^2(10 ft)
V = 2,101.62 ft^2
50 POINTS What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2
Answer:
a1=2 and r=-1
Explanation:
"A geometric series is a series with a constant ratio between successive terms".
Here, we can observe that the first term 'a' is '2'.
And the common ratio 'r' =
Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.
Answer:
First term, a, is 2. Next term, -2, is the product of 2 and -1 and is -2. Next term, 2, is the product of -2 and -1. Thus, the first term, a, is 2 and the common ratio, r, is -1
The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term in the parabola's equation?
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
Trevor is building a deck. He has enough wood to build a 15 ft2 deck. Trevor wants
the deck to be 2 ft longer than it is wide. He sets up the following equations to
help him determine the dimensions of the deck.
x(x + 2) =15
x + 2x -15 =0
where xis the width of the deck in feet.
How wide should Trevor make his deck? To solve for x, first factor the
left side of the equation. Note: The width of the deck must be positive.
Ignore negative values for x.
Answer:
The deck width is 3
Step-by-step explanation:
Your
x(x + 2) =15
x + 2x -15 =0
should be:
x(x + 2) =15
x^2 + 2x -15 =0.
Factoring this, we get
x^2 + 2x -15 =0 = (x + 5)(x - 3) = 0,
which yields: x = 3 and x = -5. As the problem states, we discard the negative root and focus on the positive one (x = 3).
The deck width is 3 and the length is (3 + 2), or 5.
Have you ever seen rational exponents? Rational exponents are designed to fit within the properties of exponents. That is, (31/2)2 is equal to 31, or 3. What operation does the power 1/2 represent? Can you think of operations that other fractional powers represent, such as 1/3, 1/4 and 2/3?
Rational exponents are quite simple really. For instance, 2 to the power of 1/2 is the square root of two. You take the numerator of the fraction and use that as the exponent and take the denominator and use it to root the number. I know that sounds confusing, so I'll give a bunch of examples
2 to the power of 1/3
is the cube root of 2
2 to the power of 2/3
is the cube root of 2 to the power of 2, or the cube root of 4
2 to the power of 3/4
Is the 4th root of 2 to the power of 3, or the fourth root of 8
Hope it helps <3, if you have any questions just comment.
The required answer for the number of questions has been listed in the answer section.
Given that,
A number of questions are given
The function which is in format f(x) = a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Part A
What operation does the power 1/2 represent?
The power 1/2 represents the square root of the value i.e. x^{1/2} = √x
Part B
What operations that other fractional powers represent, such as 1/3, 1/4, and 2/3?
Power 1/3 represents the cube root i.e. x^{1/3} = ∛x
Similarly
Power 1 / 4 represents the fourth root.
Power 2 / 3 represents cube root of square i.e. (x²)^{2 / 3} = ∛x²
Thus, the solution to the question is mentioned above.
Learn more about exponential function here:
brainly.com/question/15352175
#SPJ2
Help me please it’s important
Answer:
B: 5 + 4x < 24
Step-by-step explanation:
Answer:
The answer is B) 4x+5 < 24
What is the equation of the line that passes through (5, -2) and (-3, 4)? 3 x + 4 y - 7 = 0 3 x - 4 y - 7 = 0 -3 x + 4 y - 7 = 0
Answer:
3x+4y-7=0
Step-by-step explanation:
I've plotted both the points down and I've put the equation "3x+4y-7=0" and it went through both points. I've provided proof here.
The function C(x)=8x+560 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $16?
Answer:
70
Step-by-step explanation: