Final answer:
The equation that does not support the fact that polynomials are closed under multiplication is 1x⋅x=1. To multiply and simplify [tex]x^2⋅x⋅x^5[/tex]onents are added. To multiply and simplify[tex](3x+7)8x^2,[/tex]ive property is used.
Explanation:
The equation that does not support the fact that polynomials are closed under multiplication is 1x⋅x=1. When multiplying two polynomials, the degree of the resulting polynomial is the sum of the degrees of the two original polynomials. In this case, the degree of the resulting polynomial would be 2, but the equation implies a polynomial of degree 0, which is not possible.
To multiply and simplify[tex]x^2⋅x⋅x^5[/tex]he exponents when multiplying the same base. So,[tex]x^2⋅x⋅x^5 = x^(2+1+5) = x^8.[/tex]
To multiply and simplify [tex](3x+7)8x^2,[/tex] distributive property. We multiply each term in the first polynomial by each term in the second polynomial. So, [tex](3x+7)8x^2 = 24x^3 + 56x^2.[/tex]
There are 6 cookies in 1 bag. How many cookies are in 5 bags?
Answer:
30
Step-by-step explanation:
find the difference and the next three terms -10 -20 -30
Answer:
- 40, - 50, - 60
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence.
- 20 - (- 10) = - 20 + 10 = - 10
- 30 - (- 20) = - 30 + 20 = - 10
Thus the difference d = - 10
To obtain a term in the sequence subtract 10 from the previous term
- 30 - 10 = - 40
- 40 - 10 = - 50
- 50 - 10 = - 60
The next 3 terms are - 40, - 50, - 60
At a holiday camp, the ratio of boys to girls is 3: 4 and the ratio of girls to adults is 5: 7
What is the ratio of children to adults at the camp?
The ratio of boys to girls (3:4) and girls to adults (5:7) leads to a combined ratio of children to adults at the holiday camp of 5:4 after aligning the ratios on the common term for girls and simplifying.
Explanation:To determine the ratio of children to adults at the holiday camp, we can use the given ratios:
Ratio of boys to girls: 3:4Ratio of girls to adults: 5:7First, express both ratios with a common term for girls to combine them accurately:
Since the ratio of girls to adults is 5:7, we can align this with the boys to girls ratio by multiplying the boys to girls ratio by 5 (the common term for girls). This gives us:
Ratio of boys to girls (multiplied by 5): 15:20Ratio of girls to adults: 20:28So, we have 15 boys and 20 girls for every 28 adults. The total number of children (boys and girls) is 15 + 20 = 35.
Therefore, the ratio of children to adults at the camp is 35:28, which simplifies to 5:4 after dividing both terms by 7.
Two supplementary angles have measures that are in the ratio of 5 to 7. Find the measure of the smaller angle
Measure of the smaller angle is 75°
Step-by-step explanation:
Step 1: Sum of supplementary angles is 180°. Given ratio of angles is 5:7.Let angles be 5x and 7x.
⇒ 5x + 7x = 180
⇒ 12x = 180
⇒ x = 15
Step 2: Calculate smaller angle which is 5x⇒5x = 5 [tex]\times[/tex] 15 = 75°
To find the measure of the smaller supplementary angle, when the ratio of the two angles is 5:7, you need to set up an equation with 5x and 7x as the angle measures. Solve this equation to find the value of 'x', and then use 'x' to calculate the measure of the smaller angle, which amounts to 75 degrees.
Explanation:In this mathematics problem, we know that two angles are supplementary if their measures add up to 180 degrees. If the ratio of the two supplementary angles is 5:7, we can set up an equation to solve for the unknowns.
Let 5x represent the measure of the smaller angle and 7x represent the measure of the larger angle. We know that the sum of these two angles should be 180 degrees, thus:
5x + 7x = 180
Combining like terms, we get:
12x = 180
Now, we can solve for 'x' by dividing both sides of the equation by 12:
x = 180 / 12, which equals 15
Now that we know the value of 'x', we can plug it back in to find the measures of the two angles. The smaller angle, which is 5x, is then:
5x = 5 * 15, which equals 75 degrees
So the measure of the smaller angle is 75 degrees.
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Ruby spends 1 1/4 hours a day practicing tye piano she practices 6 days a week how much time in all does ruby spend practicing the piano each weej
Chandra's heart beats 1860 times during 15 min of running. While resting, Chandra records her heart beating 36 times in 30 seconds what is the difference between Chandra's heart rate while running vs. resting?
A. 56 beats/min
B. 52 beats/min
C. 1912 beats/min
D. 1788 beats/min
Answer:
B. 52 beats/min
Step-by-step explanation:
while resting her heart beats : 36×2 = 72 beats/min
while running her heart beats : 1 860÷15 = 124 beats/min
difference = 124-72 = 52 beats/min
:)
Answer:
B. 52 beats/min
Step-by-step explanation:
To find the answer you have to find the bpm of each time that Chandra recorded her heart rate. So when she recorded her heart rate when running, you simply divide 1850 by 15, and you should get 123.333 (repeating) I am assuming by the answers that we are rounding, so we are going to round that answer up. Next to find her heart rate while resting, you take her heart rate in 30 seconds, which is 36, and multiply it by 2, because it was her heart rate in half of the time that we are measuring it in. So when you multiply 36 by 2 you should get 72. The next step is to subtract 124 from 72. You answer is 52.
Use the Diagram of ABCD to find X?
Does anyone know this?
Answer:
x = 9
Step-by-step explanation:
x+3=2x-6
3=2x-x-6
9=x
The value of the x for the figure ABCD is 9.
What are quadrilaterals?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Given the quadrilateral ABCD and opposite sides are parallel,
AD ║ BC and AB ║ CD
since the opposite sides of the quadrilateral are parallel so the quadrilateral is a parallelogram,
so AB = CD
AB = x + 3 and CD = 2x - 6
x + 3 = 2x - 6
2x - x = 3 + 6
x = 9
Hence the value of x is 9.
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What is 2/2 simplified
Answer:1
Step-by-step explanation:just divide numerator by denominator
A car drove 24 miles in 0.2 hours. How fast is the car going in miles per hour?
Answer:
120 mph
Step-by-step explanation:
To find miles per hour, divide miles by hours. ("Per" essentially means "divided by".)
(24 miles)/(0.2 hour) = 24/0.2 miles/hour = 120 miles/hour
What is angle A? 313 degrees 133 degrees 143 degrees 147 degrees
133 is the Answer bc that is a supplementary angle and supplementary angles always sum up to 180 hope this helps please mark brainliest
Step-by-step explanation:
Due to financial difficulties the owner of 4 skateboard stores is going to close 2 of his stores. Based on the money earned at each store, which two stores should remain open?
A) Ben's Boards and Skateaway
B) Skateaway and Great Skates
C) Skateaway and Discount Sports
D) Discount Sports and Ben's Boards
Answer:
B
Step-by-step explanation:
Because, according to the graph, they are making the most sells.
20. Coin Collecting The value of Gerald's coins is the
value of his brother's coins. Gerald's coins are worth $14.
What is the value of his brother's coins? Write and solve
an equation.
Answer:
$14
Step-by-step explanation:
if Gerald's coins have the same value as his brothers, then that means they have exactly the same amount
What is equivalent to 10/24
Answer:5/12
Step-by-step explanation:
If you cut 10 ( the numerator) in half you get 5 and if you cut 24(the denominator) in half you get 12
Answer:
15/36Step-by-step explanation:
1536 is equivalent to 10/24 because 15 x 24 = 36 x 10 = 360. 2048 is equivalent to 1024 because 20 x 24 = 48 x 10 = 480.
How do u solve y=296-10x and y=200+6x
Answer:
[tex]x = 6[/tex] and [tex]y = 236[/tex]
Step-by-step explanation:
[tex]y = 296 - 10x[/tex]
[tex]y = 200 + 6x[/tex]
By equating both equations, we get:
[tex]296 - 10x = 200+6x[/tex]
[tex]16x = 96[/tex] [Separate variables and constants]
[tex]x = 6[/tex]
By substituting [tex]x = 6[/tex] to the above equation, we get:
[tex]y = 296 - 10(6)[/tex]
[tex]y = 296 - 60[/tex]
[tex]y = 236[/tex]
Hence, [tex]x = 6[/tex] and [tex]y = 236[/tex]
look at the image please helppp
Answer:
Option A. one rectangle and two triangles
Option E. one triangle and one trapezoid
Step-by-step explanation:
step 1
we know that
The area of the polygon can be decomposed into one rectangle and two triangles
see the attached figure N 1
therefore
Te area of the composite figure is equal to the area of one rectangle plus the area of two triangles
so
[tex]A=(8)(4)+2[\frac{1}{2}((8)(4)]=32+32=64\ yd^2[/tex]
step 2
we know that
The area of the polygon can be decomposed into one triangle and one trapezoid
see the attached figure N 2
therefore
Te area of the composite figure is equal to the area of one triangle plus the area of one trapezoid
so
[tex]A=\frac{1}{2}(8)(4)+\frac{1}{2}((4+8)(8)=16+48=64\ yd^2[/tex]
A radio station uses 1/6 of* its time for the O
news. In a 24 hour day, how many hours
are used for music & entertainment?
Answer:
4 hours is what they use
Step-by-step explanation:
If they use 1/6 of their time each day
A day = 24 hours
1/6 times of that day will be
1/6*24= 4 hours
How fast should the ant walk to go around the rectangle in 4 minutes?
The ant should walk__ inches per minute.
Question:
How fast should the ant walk to go around the rectangle in 4 minutes if the sides are 12 inches and 16 inches
Answer:
The ant should walk 14 inches per minute
Solution:
Given that,
Dimensions of rectangle are 12 inches and 16 inches
Find the perimeter of rectangle
Perimeter = 2(length + width)
Perimeter = 2(12 + 16)
Perimeter = 2(28) = 56
Thus perimeter of rectangle is 56 inches
Time taken = 4 minutes
We have to find the speed at which ant covers 56 inches in 4 minutes
The speed is given by formula:
[tex]speed = \frac{distance}{time}[/tex]
[tex]speed = \frac{56}{4} = 14[/tex]
Thus the ant should walk 14 inches per minute
Chose all of the terms that describe the set of lines.
OPTIONS: o(╥﹏╥)o
Transversal
Parallel lines
Perpendicular lines
Intersecting lines
Answer: intersecting
Step-by-step explanation:
they cross each other
What are the dimensions of a rectangular wall that can be constructed with 400 feet of brick that will maximize the area enclosed by that brick
Answer:
The dimensions of the wall are 100 ft x 100 ft
Step-by-step explanation:
we know that
The perimeter of a rectangular wall is
[tex]P=2(x+y)[/tex]
where
x is the length
y is the width
we have
[tex]P=400\ ft[/tex]
so
[tex]400=2(x+y)[/tex]
simplify
[tex]200=x+y[/tex]
[tex]y=200-x[/tex] ----> equation A
The area of a rectangular wall is equal to
[tex]A=xy[/tex] ----> equation B
substitute equation A in equation B
[tex]A=x(200-x)\\A=-x^2+200x[/tex]
This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
Convert the quadratic equation in vertex form
[tex]A=-x^2+200x[/tex]
Factor -1
[tex]A=-(x^2-200x)[/tex]
Complete the square
[tex]A=-(x^2-200x+100^2)+100^2[/tex]
[tex]A=-(x^2-200x+10,000)+10,000[/tex]
Rewrite as perfect squares
[tex]A=-(x-100)^2+10,000[/tex] ----> equation in vertex form
The vertex is the point (100,10,000)
The x-coordinate of the vertex represent the length of the wall for a maximum area
so
[tex]x=100\ ft[/tex]
Find the value of y
equation A
[tex]y=200-(100)=100\ ft[/tex]
therefore
The dimensions of the wall are 100 ft x 100 ft
To find the dimensions of a rectangular wall that maximizes the area enclosed by 400 feet of brick, you can use the formula for the area of a rectangle and find where the derivative of the area equation equals zero. By solving the resulting equations, you can determine the dimensions of the wall that will maximize the enclosed area.
Explanation:To find the dimensions of a rectangular wall that maximizes the enclosed area with 400 feet of brick, we need to use the formula for the area of a rectangle, which is length times width. So, let's represent the width of the wall as x and the length as y. Since we have 400 feet of brick, we can write the equation 2x + 2y = 400. We can rearrange this equation to solve for y: y = (400 - 2x)/2. Now we have the area equation A = x * y,
which becomes A = x * ((400 - 2x)/2). To find the maximum area, we can take the derivative of A with respect to x and set it equal to zero: (400 - 4x)/2 = 0. Solving for x, we get x = 100. Substituting this back into the y equation, we find y = 100 as well. Therefore, the dimensions of the rectangular wall that maximize the area enclosed by the brick are 100 feet by 100 feet.
Add and write the fraction or mixed number in its simplest form 2/5+1/4+7/10=
Answer:
1 7/20 mixed= 27/20
Step-by-step explanation:
All equations where x=2 is a solution
Answer:
Step-by-step explanation:
All equations where x=2 is a solution : a(x-2) = 0......a ≠ 0
Jose has scored 632 points on his math tests so far this semester. To get an A for the semester, he must
score at least 726 points.
Part 1 out of 2
Enter an inequality to find the minimum number of points he must score on the remaining tests in
order to get an A. Let n represent the number of points Jose needs to score on the remaining tests.
The inequality is|
+n (select)
Next
Step-by-step explanation:
Jose need at least 94 more points in order to get an A on this semester
[tex]5 \times 5[/tex]
Step-by-step explanation:
[tex]5 \times 5= 25[/tex]
Given the scale drawing of a one bedroom apartment, what is the actual length of the apartment from the study to kitchen?
Answer: 30 ft
Step-by-step explanation: bc 1/2 inch = 3 feet combined length = 2 + 5= 5 inches therefore (5.0/0.5)(3)= 10(3)=30
Anyone know this.
What is the negation of the following statement?
A triangle cannot contain two obtuse angles.
A. A triangle can contain two obtuse angles.
B. A triangle does not contain two obtuse angles.
Answer:
it's B
Step-by-step explanation:
a triangle cannot two obtuse angles
A traingle does not contain two obtuse angles. Option B is correct.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.
Here,
A triangle cannot contain two obtuse angles.
A triangle cannot have the two obtuse angle, becaue for a triangle sum of the iternal angle must not exceeds 180°
Thus, A traingle does not contain two obtuse angles. Option B is correct.
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Which expression is not a polynomial?
x-1
4+p
5x² - x
8x - z3
The given question have mistake.
Question:
Which expression is not a polynomial?
(1) x – 1
(2) 4 + p
(3) [tex]5x^2-\sqrt x[/tex]
(4) [tex]8x-z^3[/tex]
Answer:
[tex]5x^2-\sqrt x[/tex] : Not a polynomial
Solution:
Definition of polynomial:
A polynomial can have constants, variables and exponents.
Constants = 2, 5
Variables = x, y, z
Exponents = [tex]x^2[/tex]
Not a polynomial:
Roots, fractions in power, negative powers and dividing by a variable are not polynomials.
Given expressions:
(1) x – 1 : Polynomial
(2) 4 + p : Polynomial
(3) [tex]5x^2-\sqrt x[/tex] : Not a polynomial
(4) [tex]8x-z^3[/tex] : Polynomial
Hence in the given expressions [tex]5x^2-\sqrt x[/tex] is not a polynomial.
Item 11
A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
Answer:
[tex]Amount\ of\ sales=\$ 6000[/tex]
Step-by-step explanation:
[tex]Let\ total\ sales=x\\\\Commission=3\%\ of\ total\ sale\\\\Commission=3\%\ of\ x\\\\It\ is\ given\ that\ salesperson\ gets\ \$ 180\ as\ commission.\\\\3\%\ of\ x=180\\\\\frac{3}{100}x=180\\\\x=\frac{180\times 100}{3}\\\\x=60\times 100\\\\x=6000\$\\\\Amount\ of\ sales=\$ 6000[/tex]
Which of the following accurately describes the square root of 10?
1. It is rational
2. it is an integer.
3.It is a whole number.
4. It is irrational.
Answer:
4
Step-by-step explanation:
√10 is a irrational number
Final answer:
The square root of 10 is an irrational number because it is a non-terminating, non-repeating decimal that cannot be expressed as a simple fraction. It lies between the integers 3 and 4 on the number line.
Explanation:
The square root of 10 is an example of an irrational number. Unlike integers and whole numbers, which are exact and do not have an ending decimal or fraction, and unlike rational numbers which can be written as a ratio of two integers (like 1/2 or 3/4), an irrational number cannot be expressed as a simple fraction.
The square root of 10 cannot be precisely written as a fraction because it is a non-terminating, non-repeating decimal. In other words, if we were to write out the decimal form of the square root of 10, it would have an infinite number of digits after the decimal point without any repeating pattern.
For a real-world example, consider that knowing whether a number is rational or irrational can influence how we represent that number in various contexts, such as in engineering or architecture, where precision is paramount.
What did the mathematician do over winter break
Answer:
he hit the slopes
Step-by-step explanation:
;)
Mr Smith class 1/3 were absent on Monday and Mrs. Brown class 2/5 were absent on Monday. If 4 students from each class were absent on Monday. How many students are in each class?
Answer:
Mr. Smiths class has 12 students and Mrs. Brown's class has 10 students.
Step-by-step explanation:
if 1/3 of the class is absent and that amount is four you would multiply 4 by 3 and get 12. If 2/5 of the class are missing and there 4 students first you would divide 4 by 2 and get 2, then you would take the 2 and multiply it by 5 and get 10.