Answer:
7
Step-by-step explanation:
each way from 10 to 7 is 3 and 4 to 7 is 4
what is the degree of the simplest polynomial with integer coefficients that has √2 , 2 , √2 + i , and 2 + 2i as some of its zeros?
a. 6
b. 7
c. 8
d. 9
If the polynomial has integer coefficients, then any complex roots with non-zero imaginary part must occur along with their conjugates. If a + bi is a root, then so is a - bi.
The given polynomial would then have at least 6 roots: √2, 2, √2 + i and √2 - i, and 2 + 2i and 2 - 2i. So the minimum degree is (A) 6.
You are remodeling your kitchen. You've contacted two tiling companies who
gladly told you how long it took their workers to tile a floor of a similar size.
Jim completed half the floor in 9 hours. Pete completed the other half of the
floor in 5 hours. If Pete can lay 35 more tiles per hour than Jim, what equation
would you use to find the rate that Jim can lay tiles? Let x represent Jim's
rate.
A. 5x - 9(x-36)
B. 5x - 91% +35)
C. 9x - 5(x-36)
D. 9x - 5(x +35)
Answer:
The correct answer would be D
9x=5(x=35)
Step-by-step explanation:
If this doesn't help I can fix it. I'm sorry in advance if it is incorrect.
Pablo drove 715 miles in 11 hours.
At the same rate, how many miles would he drive in 9 hours?
Answer:
585 miles
Step-by-step explanation:
divide 715 by 11 so that you can see the mph (miles per hour). Then multiply that number by 9 for the amount of miles he would travel in nine hours
715/11=65
65x9=585
-7a + 2b - 3a - 3c what is it
Answer:
-10a + 2b - 3c
Step-by-step explanation:
hope this helps :)
Rewrite the expression in the form z^n
Answer:
[tex]z^{ \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{\frac{z}{z^{\frac{1}{3}} } } = \sqrt{z \times z^{-\frac{1}{3}}[/tex] [tex][ \ \frac{a}{a^x} = a \cdot a^{-x} \ ][/tex]
[tex]= \sqrt {z^{\frac{2}{3}}}\\\\[/tex] [tex][ \ a^x \cdot a^y = a^{ x+ y} \ ][/tex]
[tex]= (z^{\frac{2}{3}})^{ \frac{1}{2}}[/tex] [tex][ \ \sqrt{x^y} = (x^{y}) ^{\frac{1}{2}} \ ][/tex]
[tex]= z^ {\frac{1}{3}}[/tex] [tex][ \ (a^x)^y = a^{xy} \ ][/tex]
Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3
Answer:
5y+3x=-9
Step-by-step explanation:
Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the slope-intercept form of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.
From this problem, we are given both the slope and the y intercept. We know have the equation:
[tex]y=-\frac{3}{5}x -3[/tex]
Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.
[tex]y+\frac{3}{5} x=-3[/tex]
This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.
[tex]5y+3x=-9[/tex]
I hope this helps! Please let me know if you have any questions :)
(X+16),(4x-12),(x+10)
Answer:
Glad you're using brainly now! Next time put a worded question and the equation so we can know how to help you.
Step-by-step explanation:
If these are points:
If these are lines: first link to graph below
If you were looking for the LCM its 12x(X+16)(x+10)
Iff u were looking to add them: X+5x+14
If u were looking to multiply: 4x2X+28xX+64x2−120X+448x−1920
if u were looking to simplify the matrix: X+16,4x−12,x+10
i hope this helped, im not sure what you wanted help with
A closed container has 2.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?
0.34 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068 ⋅ 10−1
0.37 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71 ⋅ 10−1
3.41 grams, because (2.04 ⋅ 1.67) ⋅ (1023 ⋅ 10−24) = 3.4068
3.71 grams, because (2.04 + 1.67) ⋅ (1023 ⋅ 10−24) = 3.71
Answer: 0.34 grams
Step-by-step explanation:
Given:
Number of atoms in a closed container
Weight of one atom
Total mass of all the atoms of the gas in the container
Thus A is the right option.
Answer:
0.34 grams
Step-by-step explanation:
find the value of x.
Answer:
139 degrees
Step-by-step explanation:
we only have a central angle here (angle at the center of the circle).
and that angle remains the same along these 2 lines all the way out to the circle arc (and beyond, wherever these 2 lines take us).
so, if there is nothing missing in this graph, then x is the same as the inner angle : 139 degrees
Two lines are intersecting. What is the value of x? Enter your answer in the box. Two straight lines intersecting each other where the consecutive angles formed are x plus twenty three degrees and two x plus four degrees.
Answer:
x = 51
Step-by-step explanation:
Supplementary angles total 180º
(2x + 4) + (x + 23) = 180
Combine like terms
3x + 27 = 180
Subtract 27 from both sides
3x = 153
Divide both sides by 3
x = 51
Answer:
Hello! x = 51
Step-by-step explanation:
OMG I CAN ANSWER FINALLY!
it is forming a supplementary angle meaning it will add up to 180 degrees
51 × 2 = 102 102 + 4 = 106
51 + 23 = 74
106 + 74 = 180 therefore x = 51 Hope that helps.
The diagram shows a sector OAPB of a circle, centre O.
AB is a chord of the circle.
OA = OB = 5.4 cm.
Angle AOB = 72°
Calculate the area of the shaded segment APB.
Give your answer correct to 3 significant figures.
Answer:
4.44 cm²
Step-by-step explanation:
If the diagram attached below is required to complete the question,
Applying,
Area of the shaded segment(A) = Area of the sector- area of the triangle
A = (πr²∅/360)-(r²sin∅/)2................ Equation 1
Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie
From the question,
Given: r = 5.4 cm, ∅ = 72°
Constant: π = 3.14
Substitute these values into equation 1
A = (3.14×5.4²×72/360)-(5.4²/2×sin72)
A = 18.31-13.87
A = 4.44 cm²
What is the value for X?
Answer:
5
Step-by-step explanation:
6x + 4 + 73 + 73 = 180
6x + 150 = 180
6x = 30
x = 5
Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.
Triangle Sum Theory states all angles of a triangle add to 180.
Give FIVE (5) real life examples of functions
Answer:
Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)
Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)
Physics - Convective heat transfer of an element with its surroundings. (Linear function)
Physics - Time conversion from seconds to minutes. (Linear function)
Physics - Radiative heat transfer from an element. (Quartic function)
Step-by-step explanation:
There are many examples of applications of function in real life:
Physics - The position of a particle experimenting an uniform accelerated motion. (Quadratic function)
[tex]y = y_{o} + v_{o}\cdot t + \frac{1}{2}\cdot a \cdot t^{2}[/tex] (1)
Where:
[tex]y[/tex] - Current position.
[tex]y_{o}[/tex] - Initial position.
[tex]v_{o}[/tex] - Initial velocity.
[tex]a[/tex] - Acceleration.
[tex]t[/tex] - Time.
Chemistry - The velocity of the chemical reaction as a function of temperature. (Exponential function)
[tex]k = A\cdot e^{-\frac{E_{o}}{R\cdot T} }[/tex] (2)
Where:
[tex]A[/tex] - Frequency factor.
[tex]E_{o}[/tex] - Activation energy.
[tex]R[/tex] - Ideal gas constant.
[tex]T[/tex] - Temperature.
[tex]k[/tex] - Kinetic constant.
Physics - Convective heat transfer of an element with its surroundings. (Linear function)
[tex]\dot Q = h\cdot A_{s} \cdot (T-T_{\infty})[/tex] (3)
Where:
[tex]h[/tex] - Convective constant.
[tex]A_{s}[/tex] - Surface area.
[tex]\dot Q[/tex] - Heat transfer rate.
[tex]T_{\infty}[/tex] - Temperature of the surroundings.
[tex]T[/tex] - Surface temperature of the element.
Physics - Time conversion from seconds to minutes. (Linear function)
[tex]t' = \frac{1}{60}\cdot t[/tex] (4)
Where:
[tex]t[/tex] - Time, in seconds.
[tex]t'[/tex] - Time, in minutes.
Physics - Radiative heat transfer from an element. (Quartic function)
[tex]\dot Q = \epsilon \cdot \sigma \cdot A_{s}\cdot T^{4}[/tex] (5)
Where:
[tex]\dot Q[/tex] - Heat transfer rate.
[tex]T[/tex] - Surface temperature of the element.
[tex]A_{s}[/tex] - Surface area.
[tex]\epsilon[/tex] - Emissivity.
[tex]\sigma[/tex] - Stefan-Boltzmann constant.
¿cuál es el máximo común divisor de 44c⁵, 22c³ y 11c⁴?
Here is a picture of three towers.
Not all the cubes can be seen in the towers.
Edith uses 1 cube to build tower 1.
Edith uses 6 cubes to build tower 2. There are 5 cubes on the bottom layer.
The sequence below shows the number of cubes used for the bottom layer of each tower.
Answer:
nth term = the previous number times 4(x-1)
Step-by-step explanation:
As you see the first tower has 1 then it is 5 for the next tower and then it is 13 for the next tower and then 25. Well this means that as you see, the expressions adds 4 to the previous 4 and then adds to the tower. Let me show you how it works.
Tower 1: 1
Tower 2: 1 + 4 = 5
tower 3 : 5 + 8 = 13
tower 4: 13 + 12 = 25
tower 5: 25 +16 = 41
a rectangle is 12 feet long and 5 feet wide. if the length of the rectangle is increased by 25% and the width is decreased by 20% what is the change in the area of the rectangle
Answer:
60% decrease in area
Step-by-step explanation:
12 x5 == 60 sq feet (original area)
9 x 4 == 36 sq feet (new area)
36/60 = 6/10 = 60%
In the diagram, MN is tangent to K at M, NP is tangent to K at P, MN = 128 and NP = 2x + 70. Find x
SHOW YOUR WORK
Answer:
A
Step-by-step explanation:
Tangents that are both tangent to a same point equal each other. sk
[tex]2x + 70 = 128[/tex]
[tex]2x = 58[/tex]
[tex]x = 29[/tex]
A pile of 15 boxes is 3 metres high. What is the depth of each box?
5 m
.002 km
200 cm
200 mm
Use the distributive property to write an equivalent expression: 5(3x + 2)
Answer:
15x + 10
Step-by-step explanation:
5(3x + 2)
15x + 10
Figure 1 shows a paperweight made from a hollow hemisphere and a hollow cone. The paperweight contains sand so that the sand exactly fills the hemisphere. The radius of the hemisphere is equal to the radius of the base of the cone. The height of the cone is 15cm and the volume of the cone is 180π cm3 Figure 2 below shows the paperweight after it has been turned upside down. Diagram NOT accurately drawn h cm Figure 2 The height of the sand in the cone is h cm. Find, to 3 significant figures, the value of h.
Answer:
13.95 cm
Step-by-step explanation:
the volume of the cone =
⅓× π r². h = 180 π
⅓×π r²×15 = 180 π
(eliminate π)
=> 5r² = 180
r² = 180/5 = 36
r=√36 = 6 cm
the volume of the sand = ½×4/3 π r³
= ⅔× π ×6³ = 144π cm³
the ratio of the volume :
144π/180π = 0.8
so the value of h = ³√0.8 x 15 = 0.93× 15
= 13.95 cm
a circle has a circumference of 3.14 units what is the diametet
Answer:
1 unit
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
Using pi as 3.14
3.14 = 3.14 d
Divide each side by 3.14
1 = d
Answer:
1
Step-by-step explanation:
The formula for the circumference is πd where d is the diameter.
πd=3.14
Let's assume that π is around 3.14.
Isolate d, so you get d=1
Find the surface area
Answer:
352 m
Step-by-step explanation:
The area of a trapeze is (the biggest base + the smallest base) × height / 2
The area from rectangles are side a × side b
Trapeze: (6+12)×4/2 = 36
Rectangles: 5 × 10 = 50
6 × 10 = 60
12 × 10 = 120
There are two trapeze andtwo rectangles with the samesize, so you double their area:
2×36 + 2 × 50 + 60 + 120 = 352 m
A glass marble has a diameter of 16 millimeters. What is the approximate volume of the marble? Use 3.14 for
Answer:
The volume would be approximately 2143.573333...
The cost of 2 pounds
of coffee is $0.
True or False
Answer:
false
Step-by-step explanation:
the graph shows that 2 pounds of coffee would be about $4
Answer:
false.
Step-by-step explanation:
because if you look 1 pounds is 2 dollars
each side of a square field is 14m find its area
Answer:
Step-by-step explanation:
area of square field=l^2
=14^2
=196 m^2
Answer:
Area = 196 m²
Step-by-step explanation:
Side of the square field = 14m
Area of the square field = side²
→ 14² = 14 × 14
→ 196 m²
After filling the first sandbox to a height of 6 inches, the groundskeeper had 24 cubic feet of sand left
over. She used all the leftover sand to fill the second sandbox.
. The second sandbox has a base in the shape of a rectangle.
The base of the second sandbox has a perimeter that is less than 35 feet.
The groundskeeper filled the second sandbox to a height of 6 inches.
What could be the length and width, in feet, of the second sandbox?
Answer:
Length could be 14.05 ft and width 3.41 ft.
Step-by-step explanation:
The volume of the sand in the second box = 24 ft^3.
Let its base be x feet wide and y feet long.
Then 2(x + y) < 35.
The volume of sand = 0.5xy ft^3.
So 0.5xy = 24
xy = 48.
x = 48/y
Substituting ih the above inequality:
2(48/y + y) < 35
96/y + 2y < 35
2y^2 - 35y + 96 < 0
Solving 2y^2 - 35y + 96 = 0 gives y = 3.41, 14.09.
So the length could be 14.05 ft and the width 48/14 = 3.41 ft.
The length could be 14.05 ft and the width will be 3.41 ft.
What is volume?The volume of the sand in the second box = 24 ft³.
Let its base be x feet wide and y feet long.
Then 2(x + y) < 35.
The volume of sand = 0.5xy ft^3.
So 0.5xy = 24
xy = 48.
x = 48/y
Substituting the above inequality:
2(48/y + y) < 35
96/y + 2y < 35
2y² - 35y + 96 < 0
Solving 2y² - 35y + 96 = 0 gives y = 3.41, 14.09.
So the length could be 14.05 ft and the width 48/14 = 3.41 ft.
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Solve the following inequality. 21 ≤ -3(x − 4) < 30 A. 28 ≤ x < 37 B. -10 < x ≤ -3 C. -6 < x ≤ -3 D. -3 ≤ x < 6
Step-by-step explanation:
21 ≤ -3(x − 4) < 30
=> devided by (-3)
-7 ≥ x-4 > -10
=> added by 4
-3 ≥ x > -6
the result : -6 < x ≤ -3 (option C)
the difference of place values of the digit 3 in 53,230
x^2 +14x +45=0 factorise
Answer:
Step-by-step explanation:
x^2+14x+45=0
x^2+(9+5)x+45=0
x^2+9x+5x+45
x(x+9)+5(x+9)=0
(x+9)(x+5)=0
either x+9=0 Or,x+5=0
x+9=0
x=0-9
x=-9
x+5=0
x=0-5
x=-5
therefore x=-9,-5
PLEASE HELP, I REALLY NEED IT!!
Answer: The answer for the first one is (75,25) and the second one is No
Step-by-step explanation:
1. when the football, is 25 feet high, it has traveled 75 feet abd that is it's highest point
2. No, because when you convert 45 yards to feet it is only going to be 9ft in height.
I hope this helps