Answer:
The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]
The function f reflected about the y-axis and translated 3 units left. ---> [tex]g(x) = -7x-16[/tex]
The function f stretched vertically by a factor of 3 and translated up by 2 units. ---> [tex]g(x) = 21x +17[/tex]
The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]
Step-by-step explanation:
Explanation could not be submitted; So, I added it as an attachment
Answer: answer below :)
Step-by-step explanation:
How long would it take a garden snail at his top speed of 0.01 m/s to travel 1 mile? Use 1 mile = 1609 meters. Round to the nearest whole hour.
Answer:
45 hours
Step-by-step explanation:
1 mile * 1609 meters * 1 s = 160900 sec
1 mile .01 meters
160900 sec / 60 /60 = 44.7 = 45 hours
Step-by-step explanation:
This is a cute question lol.
So this lil snail is trying to go 1609 meters, at a speed of 0.01 m/s (meters per second). Lets see how long that takes.
The way I like to do conversion problems is by starting with the value that doesn't have something on the bottom (1609 m) then multiplying to get rid of that variable.
I'll show you what I mean:
[tex]\frac{1609 m}{1} *\frac{1 s}{0.01 m} *\frac{1 min}{60s} *\frac{1 hr}{60 min}[/tex]
Then, we just multiply everything.
[tex]\frac{1609 *1*1}{1*0.01*60*60}hr[/tex]
Simplify.
[tex]\frac{1609}{36}hr[/tex]
Divide.
[tex]44.694444444...hr[/tex]
Round to the nearest whole hour.
[tex]45 hr[/tex]
Answer:
45 hours
Instructions: Find the measure of the missing angles in the kite
Answer:
m∠1 = 90º
m∠2 = 25º
Step-by-step explanation:
m∠1
diagonals of a kite are perpendicular by definition
m∠2
the 65º angle, the angle to the right of ∠1, and ∠2 form a triangle
we know that triangles are 180º
65º + 90º + m∠2 = 180º
m∠2 = 25º
Help me
Pls its due soon and i have no clue how to do this
Question 10
Draw a 30-60-90 triangle template. Refer to the diagram below.
We have 1 as the short leg, 2 as the hypotenuse and sqrt(3) as the long leg.
Place the angle theta as the reference angle such that it's opposite the sqrt(3) side.
That allows tan(theta) = sqrt(3)/1 = opposite/adjacent
In other words, tan(60) = sqrt(3)/1
So theta = 60 is one solution. We add on 180 to get the other solution. So the other solution is 60+180 = 240
So tan(60) = tan(240) = sqrt(3)
Answers: 60 and 240======================================================
Question 11a
sin(theta) = -0.8
theta = arcsin(-0.8) or theta = 180-arcsin(-0.8)
theta = -53.1301 or theta = 180 - (-53.1301)
theta = -53.1301 or theta = 233.1301
Add 360 to the first angle to find a coterminal angle counterpart.
-53.1301 + 360 = 306.8699
So the two approximate solutions are
theta = 306.8699 or theta = 233.1301
and those round to 306.9 and 233.1 respectively.
Answers: 233.1 and 306.9======================================================
Question 11b
cot(theta) = 1.8
tan(theta) = 1/(1.8)
theta = arctan( 1/(1.8) ) or theta = 180+arctan( 1/(1.8) )
theta = 29.0546 or theta = 180+29.0546
theta = 29.0546 or theta = 209.0546
theta = 29.1 or theta = 209.1
Answers: 29.1 and 209.1Help anyone can help me do this question,I will mark brainlest.
Answer:
but what to do in do I have to find the area of the particular Region or a length of that
Which shapes have the greatest area?
(Select all that apply.)
Answer:
the trapiezium
Step-by-step explanation:
It has a area of 4 which is the highest
9. Find the remainder when the polynomial: p(x) = x⁴ + 2x³- 3x² + x - 1 is divided by (x - 2)
pls it's urgent
Answer:
answer is 21..............
Explanation:
p(x) = x⁴ + 2x³- 3x² + x - 1
Factor of p(x)
x-2=0
x=2
Then by using synthetic division
What is the sum of the reciprocals of all the factors of 24. Both 1 and 24 are
considered to be factors of 24.
A: 59/24
B: 5/2
C: 65/24
D: 53/24
E: 41/24
Answer:
B
Step-by-step explanation:
1+2+3+4+6+8+12+24=60
60/24=5/2
so,B is the answer
The sum of all the reciprocals of the factors of 24 is 5/2.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
The reciprocals of all the factors of 24 are;
1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24
The sum of all the factors of 24:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
Take LCM of the fractions:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= (24 + 12 + 8 + 6 + 4 + 3 + 2 + 1) / 24
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= 60 / 24
Hence, the fraction:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= 5/2
Therefore, 5/2 is the sum of all the reciprocals of the factors of 24.
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The radius of the base of this right circular cone is 10 centimeters and the slant height of the cone is 25 centimeters. What is its surface area? Leave your answer in terms of
OA) 100 cm OC) 350 cm? OB) 250 cm OD) 6257 cm
Answer:
C.) [tex]350\pi[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Since we are given the radius of the cone's base and the slant height, we can use the following equation to solve for surface area:
[tex]A = \pi r^{2} + \pi rl[/tex]
Now we just plug in the given information and solve:
[tex]A = \pi (10cm)^2 + (\pi) (10cm)(25cm)\\A = 100\pi cm^2 + 250\pi cm^2\\A = 350\pi cm^2[/tex]
Find the value of x.
Answer:
x=8
Step-by-step explanation:
(3x-8)/1=4x/2. 3x-8=2x, x=8
1/4 Luke's marbles are white,
3/8 are blue,
and the rest are 30 yellow marbles.
How many of the marbles are white?
Answer:
i dont know the total sum of marbles
Step-by-step explanation:
A fraction is written in the form of a numerator and a denominator
where the denominator is greater than the numerator.
1/4 of 80 is 20.
The number of white marbles is 20.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Total marbles = x
The number of white marbles = 1/4x
The number of blue marbles = 3/8x
The number of yellow marbles = 30
Total marbles.
x = (1/4)x + (3/8)x + 30
x - (1/4)x - (3/8)x = 30
(8x - 2x - 3x) / 8 = 30
3x/8 = 30
3x = 30 x 8
3x = 240
x = 80
The number of white marbles.
= (1/4)x
= (1/4) x 80
= 20 marbles.
Thus,
The number of white marbles is 20.
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What is the approximate radius of a sphere with a volume of 34 cm3?
A. 6 cm
O O
B. 2 cm
C. 8 cm
D. 4 cm
SUBMIT
Answer:
the answer is B.
Step-by-step explanation:
it is not A is because if the radius is 6 then the volume will be 904.32
the answer is B.
because is the radius is 2 cm then the area I calculate with this radius is 33.4933333333 and the question want the approximate radius and out of all the numbers this one is the closest so the answer is B
Also called regrouping this is when adding numbers results in more than two digits and one digit is placed in the colum to the left
Answer:
Carrying forward.
Step-by-step explanation:
When regrouping is done to add the numbers where results in a more than 2 digit and one digit is placed to left Colum is called as carrying forward. As regrouping refers to carrying the place values in order to perform operations like addition or subtraction.How many kilograms of coffee worth 40/kg must be mixed with coffee worth $11/kg to give 12kg of coffee worth $9.50/kg
Answer:
0.62kg
Step-by-step explanation:
Let
x = 40/kg coffee
y = 11/kg coffee
two equations can be derived from the question
x + y = 12 equation 1
40x + 11y = 114 (9.5 x 12) equation 2
multiply equation 1 by 11
11x + 11y = 132 equation 3
subtract eqn 3 from eqn 2
29x = 18
divide both sides of the equation by 29
x = 0.62kg
find the measure of the missing angles in the kite
Answer: 360 - 44 - 80 = 236
236 ÷ 2 = 118
both angle equal to 118
Step-by-step explanation:
The measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We know that kite is quadrilateral, having :
It has one pair of opposite congruent angles.
One diagonal is bisected.
The top and bottom angles are bisected but
As we know from the kite properties it has one pair of opposite congruent angles
From the properties of the quadrilateral the sum of the interior angles is 360 degrees
44 + angle 1 + angle 2 + 80 = 360
Angle 1 = angle 2 = x(say)
44 + x + x + 80 = 360
2x + 124 = 360
2x = 236
x = 118 degrees
Angle 1 = angle 2 = 118 degrees
Thus, the measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees or m∠1 = 118° and m∠2 = 118°.
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I don’t understand how to solve this
Answer:
42.1
Step-by-step explanation:
The height of the main triangle is,
h = 47√3/2 (since it's an 30-60-90 triangle)
so to find x,
tan(44) = h/x
x = h/tan(44)
x = 42.1 (rounded to the nearest tenth)
Answered by GAUTHMATH
answer the question
(v^3)(w^-3) / (-v^-6)(w^3)
(-v^9)(w^-3) / (w^3)
(-v^9)(w^-6)
ANSWER: Option 4
Hope this helps!
Trousers are sold at $40. During a clearance sale, the trousers are sold for $30. What is the markdown rate?
A.20%
B.25%
C.30%
D.33%
Answer:
25%
Step-by-step explanation:
40-30=10
10/40*100
25%
What do you know about the slope when X2 - X1 = 0 ?
A. The slope is undefined.
B. The slope is zero.
C. The slope is positive.
D. The slope is negative.
Answer:
B
Step-by-step explanation:
The slope is zero is the answer
3. Arcadia, decides to offer two different options for payment.
Option 1
No admission fee
$15 admission fee
and
Option 2
$5 / game
$6/game
a. Write an equation to represent the total cost of a day spent gaming at Arcadia for Option 2.
the total cost of the day would be
Answer:
[tex]Total = 15 + 6 x[/tex]
Step-by-step explanation:
Given
Option 1
[tex]Admission = 0[/tex]
[tex]Rate = \$5/game[/tex]
Option 2
[tex]Admission = 15[/tex]
[tex]Rate = \$6/game[/tex]
Required
The total cost for option 2
This is calculated as:
[tex]Total = Admission + Rate * x[/tex]
Where:
[tex]x \to[/tex] games
So, we have:
[tex]Total = 15 + 6 * x[/tex]
[tex]Total = 15 + 6 x[/tex]
help I cant do this 1-(a-b)²
Lydia has half of her investment in stock paying a 7% dividend and the other half in a stock paying 13% interest. If her total annual interest is $410, how much does she have invested?
Answer:
$4,100
Step-by-step explanation:
Interest = principal * rate * time
Let entire principal = amount invested = p
Investment A :
Rate, r = 7%, principal = p/2, time, = 1
Investment B :
Rate, r = 13%, principal = p/2, time = 1
Total interest = $4.10
(p/2 * 0.07 * 1) + (p/2 * 0.13 * 1) = 410
0.035p + 0.065p = 410
0.1p = 410
p = 410 / 0.1
p = $4100
find the surface area of this cylinder??
Answer:
4
Step-by-step explanation:
A=ch
then,
2ft×2ft
4ft
Please solve fast. It's really easy!
Answer:
j = 10.1
Step-by-step explanation:
The difference between 9.5 and 11.3 is
11.3 - 9.5 = 1.8
This is split into 3 divisions, that is
1.8 ÷ 3 = 0.6
Then
j = 9.5 + 0.6 = 10.1
CAN SOMEBODY PLEASE HELP ME
Answer: AS = 46
Step-by-step explanation:
Since we know that a circumcenter is equidistant from all three vertices, we know that segment BS is congruent to segment CS which is congruent to segment AS. By the definition of congruent segments, BS = AS. Since BS is 46, we know that AS will also be 46.
NEED HELP ASAP, find the value of X
Answer:
C
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
DK × KB = AK × KC , substitute values
12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides )
48x + 12 = 42 + 42x ( subtract 42x from both sides )
6x + 12 = 42 ( subtract 12 from both sides )
6x = 30 ( divide both sides by 6 )
x = 5 → C
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
Can someone please help me with this
Answer:
Step-by-step explanation:
Answered by Gauthmath
I really need help……
Answer:
Option C
Step-by-step explanation:
A function's input is assigned to exactly one output. Any input must not repeat.
Option A's not a function because the input of 3 repeats.
Option B's not a function because the input of -4 repeats.
Option C's a function because no inputs repeat.
Option D's not a function because the input of 5 repeats.
Hope this helps.
An equation parallel to y = – 3x + 2 through (2,3)
Answer:
y = -3x+9
Step-by-step explanation:
Parallel lines have the same slope
y = -3x+2
This is in slope intercept form where y =mx+b where m is the slope
The slope is -3
y = -3x+b
Using the point (2,3)
3 = -3(2)+b
3 = -6+b
Add 6 to each side
3+6 = b
9=b
y = -3x+9
Answer:
slope (m) = -3
3= -3(2)+b
b = 9
y=mx+b → y= -3x+9
OAmalOHopeO
What is the slope of a line that is perpendicular to the line whose equation is
y= 4x – 3?
Answer:
-1/ 4
Step-by-step explanation:
y = 4x-3 has a slope of 4 because the equation is in slope intercept form
y = mx+b where the slope is m
Perpendicular lines have slopes that are negative reciprocals
-1/ 4 is the slope of a line that is perpendicular to y = 4x-3