Answer:
24 square feet
Step-by-step explanation:
The purple part is 2 feet wide and 12 feet long. 2*12=24
A factory can work its employees no more than 5 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve the
inequality to determine the range in hours. Show all of your work and explain each of your
steps. Explain your answer.
Answer:
2 ≤ x ≤ 5
Step-by-step explanation:
If x = number of days worked
According to the question:
Employees cannot work for more than 5 days per week: that is maximum working days per week is 5 - - - (1)
x ≤ 5 - - - (1)
Employees cannot work for less Than 2 days per week, that is minimum working days per week is 2 days
x ≥ 2 - - - (2)
Combining both conditions (1) and (2) such that the both Inequality sign are the same :
If x ≥ 2 ; then 2 ≤ x
Combining 2 ≤ x and x ≤ 5
We have ;
2 days ≤ x ≤ 5 days
Which of the following are roots of the polynomial function? Check all that apply f(x) = x^3 + 3x^2 - 9x + 5
Answer:
x = 1 or x = -5
Step-by-step explanation:
Solve for x:
x^3 + 3 x^2 - 9 x + 5 = 0
The left hand side factors into a product with two terms:
(x - 1)^2 (x + 5) = 0
Split into two equations:
(x - 1)^2 = 0 or x + 5 = 0
Take the square root of both sides:
x - 1 = 0 or x + 5 = 0
Add 1 to both sides:
x = 1 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = 1 or x = -5
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 + 2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
To answer this question we should analyze both functions :
the intercepts with the x-axis are the numbers when a function f(x)=0here we must solve both equations :
x²=0x²+2=0the first one is obvious x=0 the scond is more interesting :
x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .
So we notice thatf has one intercept.
we added 2 to f to get g but no real intercepts
Find the volume of a cylinder of radius 10 cm and height 22 cm. ANSWERS: 6,911.5 cm3 691.2 cm3 20.9 cm3 62.8 cm3
Answer:
[tex] = 6911.5 {cm}^{3} \\ [/tex]
Step-by-step explanation:
[tex]v = \pi {r}^{2} h \\ = \pi \times {10}^{2} \times 22 \\ = 6911.5 {cm}^{3} [/tex]
hope this helps you.
For three consecutive numbers, the sum of the first number, twice the second, and 7
less than the third is 133. What are the three numbers?
Answer:
a = 34
b = 34
c = 36
Step-by-step explanation:
a ; b ; c = consecutive numbers =>
b = a + 1
c = a + 2
a + 2b + c - 7 = 133
a + 2(a + 1) + (a + 2) - 7 = 133
a + 2a + 2 + a + 2 - 7 = 133
4a = 133 + 7 - 4
4a = 136
a = 34
b = 34
c = 36
plsss help me withhh mathhh
Answer:
c is right
Step-by-step explanation:
Question 28 on this pictured math sheet please. Have a great day!
Answer:
A rectangular array of numbers arranged in horizontal and vertical lines enclosed between round or square brackets is called a matrix.
Types of Matrix
According to order of matrix or value of elements,we can classify the matrices. some of the types of matrices are as follows:
Column MatrixA matrix having only one column is called a column Matrix.
Row matrixA matrix having only one row is called row matrix.
Square matrixA matrix having the numbers of rows equal to the numbers of column is called the square matrix.
Rectangular matrixA matrix having the number of rows not equal to the number of column of a matrix is called the rectangular matrix.
Null matrix( zero matrix)A matrix of any order in which each element is zero is called the null matrix( zero matrix).
Diagonal matrixA square matrix in which all the elements of leading diagonal are non-zero and the rest of the elements are zero is called a diagonal matrix.
Unit matrix( Identity matrix)A diagonal matrix in which all the elements of leading diagonal are 1(unit) is called unit matrix.
Scalar matrixA diagonal matrix in which all the element of leading diagonal are equal is called scalar matrix.
Triangular matrixA square matrix having all the elements below the diagonal and above the diagonal zero is called triangular matrix.
Symmetric matrixA square matrix is called a symmetric matrix, if it's
(i,j) th element is equal to its (j,i) th elemnent.
Skew-symmetric matrixA square matrix B=b ij is called a skew- symmetric matrix if it's (i,j) th element is negative of its ( j, i) th element.
Equal matrixTwo matrices are said to be equal if they have same order and corresponding elemnents of both matrices are equal.
Hope this helps..
Good luck on your assignment...
6f = 24 pls help!!!!!!!!!!!!!!
Answer:
f=4
Step-by-step explanation:
6f = 24
÷6 ÷6
f=4
Answer:
f = 4
Step-by-step explanation:
6f = 24
f = 24/6
f = 4
help me with mathhh?!!!!???
Answer:
x = 1 1/4
Step-by-step explanation:
sqrt( 7x+2) = sqrt(3x+7)
Square each side
(sqrt( 7x+2))^2 = (sqrt(3x+7))^2
7x+2 = 3x+7
Subtract 3x from each side
7x-3x +2 = 3x+7-3x
4x+2 = 7
Subtract 2 from each side
4x+2-2 = 7-2
4x = 5
Divide by 4
4x/4 = 5/4
x = 1 1/4
Check for extraneous solution
sqrt( 7*5/4+2) = sqrt(3*5/4+7)
sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)
sqrt( 43/4) = sqrt(43/4)
Solution is valid
(4x - 5y + 3z) + (-4x +5y +3z)
Answer:6z
Step-by-step explanation:
Question:
(4x - 5y + 3z) + (-4x +5y +3z)
First Step:
Remove parenthesis
4x - 5y + 3z + -4x +5y +3z
Second Step:
Add like terms
4x + -4x = 0
-5y + 5y = 0
3z + 3z = 6z
Final Answer
6z
<!> Brainliest is much Appreciated! <!>
Answer:
6z
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Combine like terms
4x - 4x -5y +5y +3z+3z
0+0+6z
6z
erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. Which explicit formula models this situation? A. an=100 + (n-1)21 B. an=100 + (n-1)5 C. an=5 + (n-1)100 D. an=21 + (n-1)5
Answer:
Option B.
Step-by-step explanation:
It is given that erza is training for a track race. He starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards a day for 21 days. So, the required sequence is
100, 105, 110, 115, ...
It is an AP. Here,
First term = 100
Common difference = 5
Explicit formula for an AP is
[tex]a_n=a_1+(n-1)d[/tex]
where, [tex]a_1[/tex] is first term and d is common difference of the AP.
Substitute [tex]a_1=100\text{ and }d=5[/tex] in the above formula.
[tex]a_n=100+(n-1)5[/tex]
Therefore, the required explicit formula is [tex]a_n=100+(n-1)5[/tex].
Hence, option B is correct.
PLSSS HELP! Can someone pls tell me how to do this. y=1/3(x+2)^2, y=x+3
Answer:
There you go.
Step-by-step explanation:
Please do tell me if it's wrong.
How many people are in the set C N D?
4
6
36
38
Answer:
A. 4 people
Step-by-step explanation:
Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.
Answer: 4
Step-by-step explanation:
edge
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
1.(−2, −8)
2.(−8, −2)
3.(6, −10)
4.(−10, 6)
Answer:
(-8, -2)
Step-by-step explanation:
Combine these equations: You'll get 2y = -4, so that y = -2.
Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8
Thus the solution is (-8, -2)
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of 5/4. Her scale drawing is a 2 and 1/2 by 5-inch rectangle. The print shop says that the scale drawing is a reduction of the original card because the original card must be 3 and 1/8 inches by 6 and 1/4 inches. Which explains the print shop's error and gives the correct dimensions of Beth's original card?
a.The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 2 inches by 4 inches.
b.The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 3 and 3/4 inches by 6 and 1/4 inches.
c.The scale factor is a fraction so the scale drawing is a reduction, and the original card is 2 inches by 4 inches.
d.The scale factor is a fraction so the scale drawing is a reduction, and the original card is 3 and 3/4 inches by 6 and 1/4 inches.
Answer:
IT IS A..
Step-by-step explanation:
100 % sure
I have 56 sweets. I give 2/7 to Adam. I eat 3/8 of the ones I still have. How many sweets do I have left?
Answer:
25 sweets.
Step-by-step explanation:
If you have 56 sweets and you give 2/7 to Adam, you will have 5/7 of the sweets left. 56 * (5 / 7) = 8 * 5 = 40. So, you have 40 sweets left from giving 2/7 away to Adam.
If you eat 3/8 of the 40 sweets, you will have 5/8 of the 40 left. 40 * (5/8) = 5 * 5 = 25. You will have 25 sweets left; yum!
Hope this helps!
Answer:
19 sweets left
Step-by-step explanation:
Add the fractional amount of how many you gave to Adam and the fractional amount of how many you ate.
2/7 + 3/8
16/56 + 21/56
37/56
You used/gave 37 sweets out of 56.
56 - 37 = 19
1. Without graphing, identify the quadrant in which the point (x, y) lies if x > 0 and y<0.
A.IV
B.III
C.I
D.II
Answer:
A
Step-by-step explanation:
The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.
Please answer this question now
Answer:
5
Step-by-step explanation:
LM + MN = LN
4+5x = 9x
Subtract 5x from each side
4+5x-5x = 9x-5x
4 = 4x
Divide by 4
4/4 = 4x/4
1 =x
We want MN
5x =5*1 = 5
MN =5
Answer:
the length of MN is 5(1), or 5
Step-by-step explanation:
Segments add up to 9x here: 4 + 5x = 9x, so 4 = 4x and x must therefore be 1.
Then the length of MN is 5(1), or 5, and the length of LN is 9(1) = 9.
BRAINLY: Ken is working this summer as part of a crew on a
farm. He earned $8 per hour for the first 10 hours he
worked this week. Because of his performance, his
crew leader raised his salary to $10 per hour for the
rest of the week. Ken saves 90% of his earnings from
each week. What is the least number of hours he
must work the rest of the week to save at least $270 for the week? Please show how you got your answer
Answer:
22 hours
Step-by-step explanation:
Ken saves 90% of his earnings.
So, he must earn
270/x =90/100
90x=270*100
90x=27,000
x=27000/90
=300
x=$300 to save $270
For starting 10hours, Ken earns $8 per hour so he earns total
$8*10 hours=$80
Now, Ken has to earn remaining
$220 at a rate of $10/hour, he must work for at least
$220/$10
=22hours
suppose triangle ABC is reflected over the x-axis. If the distance between point A and the x-axis is 7, what is the distance between the x-axis and A
Answer:
7
Step-by-step explanation:
If A is 7 units away from the x-axis then the x-axis is seven units away from A.
That's if I read the question right.
Answer:
7
Step-by-step explanation:
Select all the correct answers.
Based on the side lengths given (a, b, and c), which triangles are right triangles?
a = 4,b= 6,c=8
a = 6,b=8,c=10
a =5,b= 6,c = 761
a = 6,b= 9,c = 12
Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
Answer: a= 5,b = 6,c = 8 and a=6,b = 8,c = 10
Step-by-step explanation: I found the correct answer on my test so hopefully this help you! :)
A)f(x)=(x-1)(x+2)(x+4)
B)f(x)=(x-8)(x-4)(x-2)(x+1)
C)f(x)=(x-1)(x+2)(x+4)(x+8)
D)f(x)=(x-4)(x-2)(x+1)
Answer:
B) f(x) =(x-8)(x-4)(x-2)(x+1)
What is the slope of line a?
Answer:
-1/3
Step-by-step explanation:
Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.
Alternatively you could use Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Please help i will mark brainliest for correct answers!
Answer:
9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.
10) 2/3 (or 2:3, or 66.6%, or 0.66)
Step-by-step explanation:
9) Here are the possibilities of the cards you could pick
KQ, KJ, K10, QJ, Q10, J10
Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.
10) It doesn’t matter which card you pick first. The second card has a 1 in 3 chance of being the same card (whatever it is). That means you have a 2 in 3 chance of it NOT being the same card. So the probability is 2/3.
Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter
OKK 90 POINTS!!!! HURRY PLZZZ!!! 1. A tree casts a shadow that is 35.6 feet long. At that time, the angle of elevation of the sun is 45°. (It’s called angle of elevation because we have to raise, or elevate, our eyes to see the sun). Let’s find the height of the tree. Label the height of the tree as x on your diagram. (Part A) Explain why tan 45o (the ratio of opposite to adjacent) could help us find the height. (Part B) Use the given diagram to complete the trigonometric equation below: (Part C) Use your calculator to find the value of tan 45°. In your equation, replace tan 45° with this number, and solve your equation to find the tree’s height.
Answer:
A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)
B) tan(45°) = x/35.6
C) x = 35.6 ft
Step-by-step explanation:
B) From definition:
tan(45°) = opposite/adjacent
opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:
tan(45°) = x/35.6
C) tan(45°) = 1
Then:
1 = x/35.6
35.6 ft = x
#1
tanØ=Perpendicular/HypotenuseAs here base is given
We need the height or perpendicular
so tangent is the easiest way to be used
#2(No problem given,may refering to part C)
#3
tanØ=sinØ/cosØtan45=sin45/cos45as sin45=cos45
tan45=sin45/sin45tan45=1Put value
tan45=h/35.6h=35.6tan45h=35.6ftThe length of a rectangle is 3 inches more than three times the width. The perimeter is 62 inches. Find the length and width.
Length in
width. In
Answer:
length= 24 inches
width= 7 inches
Step-by-step explanation:
Start by writing down what you know.
width= w
length= 3w+3
Then, we can substitute into the perimeter of a rectangle equation, P=2l+2w.
62= 2(3w+3) + 2(w)
62=6w+6+2w
62=8w+6
56=8w
7=w
Now, plug this into our original equations for length and width:
width=7
length= 3(7)+3, so 24
Which of the equations are true identities n^3+3n^2
Answer:
n^2(n + 3)
Step-by-step explanation:
n^3 + 3n^2 factors as follows: n^2(n + 3). Note that this is an expression, not an equation.
Stefanie is in a freestyle aerial competition. The equation
h = - 16t + 30t +10 models Stefanie's height h, in
feet, t in seconds after leaving the ramp.
a. How long is Stefanie in the air?
B. When will Stefanien reach a height of 15 feet?
Answer:
A = about 2.2 seconds
B = between 0.2 and 1.7 seconds
Step-by-step explanation:
A .to calculate the time in the air, we have to replache h=0.
h = - 16t + 30t +10
0 = - 16t + 30t +10
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
a=-16 ; b=30 ; c=10
Replacing with the values given:
x =[ -30 ± √(30)²-4(-16)10] /2(-16)
x = [ -30 ± √900 +640] /-32
x = [ -30 ± √1,540] /-32
x = [-30 ± 39.24] /-32
Negative:
x = [-30 -39.24] /-32 = 2.16 seconds = about 2.2 seconds
B. .to calculate this, we have to replache h=15.
15 = - 16t + 30t +10
0 = - 16t + 30t +10-15
0= - 16t + 30t -5
a=-16 ; b=30 ; c=-5
Applying the quadratic formula again:
x =[ -30 ± √(30)²-4(-16)-5] /2(-16)
x = [ -30 ± √900-320] /-32
x = [ -30 ± √580] /-32
x = [-30 ± 24.08] /-32
Positive:
x = [-30 +24.08] /-32 = 0.18 seconds =0.2 seconds
Negative:
x = [-30 -24.08] /-32 = 1.7seconds
Feel free to ask for more if needed or if you did not understand something.
Someone explain this to me
Answer: a) y = f(x - 6)
b) y = f(x) - 2
Step-by-step explanation:
For transformations we use the following formula: y = a f(x - h) + k
a = vertical stretchh = horizontal shift (positive = right, negative = left)k = vertical stretch (positive = up, negative = down)a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2