The statement that is true about the trinomial is the greatest common factor of the terms is 1.
What is a trinomial?A trinomial is a polynomial with three terms or monomials.
To know which statements about the polynomial are true, let's check each of the statements individual.
A.) The polynomial can be rewritten after factoring as [tex]10(3x^2+4xy+5y^2)[/tex]
Since the product of 5 and 10 is equal to 50, the third term is 51. Therefore, the statement about the polynomial is false.
B.) The polynomial can be rewritten as the product of a trinomial and xy.
All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.
C.) The greatest common factor of the polynomial is 51x2y2.
All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.
D.) The greatest common factor of the terms is 1.
As all the greatest common factors of the terms are completely different, therefore, the only common factor between the three terms will be 1.
Hence, the statement that is true about the trinomial is the greatest common factor of the terms is 1.
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Answer:
Step-by-step explanation:The statement that is true about the trinomial is the greatest common factor of the terms is 1.
What is a trinomial?
A trinomial is a polynomial with three terms or monomials.
To know which statements about the polynomial are true, let's check each of the statements individual.
A.) The polynomial can be rewritten after factoring as
Since the product of 5 and 10 is equal to 50, the third term is 51. Therefore, the statement about the polynomial is false.
B.) The polynomial can be rewritten as the product of a trinomial and xy.
All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.
C.) The greatest common factor of the polynomial is 51x2y2.
All the terms in the polynomial are completely different therefore, can not be written as the product of a trinomial and xy.
D.) The greatest common factor of the terms is 1.
As all the greatest common factors of the terms are completely different, therefore, the only common factor between the three terms will be 1.
Hence, the statement that is true about the trinomial is the greatest common factor of the terms is 1.
The daily number of miles driven by a bus driver during a week are 50, 65, 78, 54, 53, 61, 79, and 78.
Which statement is true?
Both the mean and mode are appropriate measures of center.
Both the median and mode are appropriate measures of center.
Both the mean and median are appropriate measures of center.
The mode is the only appropriate measure of center.
Answer: both median and mean
Step-by-step explanation:
Answer:
C Both the mean and median are appropriate measures of center.
Step-by-step explanation:
The box is 12
inches wide, 18 inches
long, and has a volume
of 2,160 inches cubed.
What is the height?
*Don't forget units.
Answer:
10 inches
Step-by-step explanation:
Hope it helps ......
Help!! I need to pass this class by the end of this week!!!!
Answer:
It is -1 because it is on the x-axisStep-by-step explanation:
What is the correct similarity statement?
Answer:
ΔSTR ~ ΔSRQ
Step-by-step explanation:
ΔSTR ~ ΔSRQ
because we need to write the corresponding sides in the same order
ST corresponds to SR
TR corresponds to RQ
SR corresponds to SQ
Instructions: Find the missing side. Round your answer to the nearest tenth
Answer:
x = 39.6
Step-by-step explanation:
[tex]cos49 = \frac{26}{x} \\ \\ x = 39.6[/tex]
What is the quotient of 4.18*10^8/1.1*10^-2
A. 3.8*10^16
B.3.8*10^14
C.3.8*10^10
D. 3.8*10^6
(Show ur work)
Answer:
C. 3.8 x 10¹⁰
Step-by-step explanation:
Our expression :
4.18 x 10⁸ ÷ 1.1 x 10⁻²Steps to solve :
1) Take the values of the exponents of 10 and the other numbers separately.
[4.18 ÷ 1.1] × [10⁸ ÷ 10⁻²]3.8 × [10⁸⁻⁽⁻²⁾]3.8 x 10¹⁰C is the correct option.
HELP! WILL GIVE BRAINLEST! In a right triangle, sin(β) = 0.292. If the hypotenuse of the triangle has a length of 17.5 cm, what is the length of the side adjacent to angle β. Note: You will also need to use the Pythagorean theorem to answer this question.
16.7 cm
5.1 cm
11.4 cm
4.1 cm
Applying the sine ratio and the Pythagorean theorem, the adjecent length to angle β is: A. 16.7 cm.
What is the Sine Ratio?The sine ratio is given as, sin ∅ = opposite/hypotenuse.
Given the following in a right triangle:
∅ = β sin(β) = 0.292Hypotenuse = 17.5 cmFind the opposite side by applying the sine ratio:
0.292 = opp/17.5
Opposite = (0.292)(17.5)
Opposite = 5.11
Using the Pythagorean theorem, we have:
Adjacent length = √(17.5² - 5.11²)
Adjacent length = 16.7 cm.
Thus, applying the sine ratio and the Pythagorean theorem, the adjecent length to angle β is: A. 16.7 cm.
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PLEASE HURRY what is the mode of the data represented in this line plot?
Answer:
2
Step-by-step explanation:
mode of a dot plot is the value that appears most often in a set of data
Answer:
2 is the mode of this data
Event A: lands on a number greater than 4
Event B: lands on purple
Events A and B are ______ events.
P(A or B) = ____
Answer:
disjoined am not sure abot the P(A or B)
Step-by-step explanation:
Answer:
disjointed 2/3
Step-by-step explanation:
hopeit helps
The function f is given by f(x) = 2*, while the function g is given by g(x) = 4.2%.
Kiran says that the graph of g is a vertical scaling of the graph off. Mai says that the
graph of g is a horizontal shift of the graph off. Do you agree with either of them?
Explain your reasoning.
DO
I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],
Define the term scaling of the graph?Scaling of the graph refers to the process of stretching or shrinking a graph of a function either vertically or horizontally, while maintaining the shape of the graph.
If the function f is given by f(x) = [tex]2^{x}[/tex],
the function of g is given by g(x) = [tex]4* 2^{x}[/tex]
I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],
To see this, note that both functions have a base of 2 raised to the power of x. However, the function g has an additional factor of 4 multiplying [tex]2^{x}[/tex]. This means that g is 4 times larger than f for any given value of x.
On the other hand, I disagree with Mai that the graph of g is a horizontal shift of the graph of f. A horizontal shift occurs when a function is moved left or right along the x-axis. However, both f and g have the same base, so the shape of their graphs is the same. The only difference is the vertical scaling due to the additional factor of 4 in g.
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#SPJ1
Correct question here-
???????????/?//?/??????????????/
Answer:
[tex]307.876\quad cm^{2}[/tex]
Step-by-step explanation:
As, the given figure is semicircle
Area of Semicircle [tex]=\frac{\pi\ r^{2} }{2} \\[/tex]
r=14 cm
So Area is [tex]=307.876\quad cm^{2}[/tex]
Answer:
307.72 :)
Step-by-step explanation:
SEmicirlce area: 1/2(3.14r^2)
Now lets solve!!
28/2 = 14
1/2(3.14)(14^2)
1/2(3.14 x 196)
1/2(615.44)
307.72
Have an amazing day!!
Please rate and mark brainliest!!
a 5 pack of clay pots cost $14.25. What is the unit price?
Answer:4.25
Step-by-step explanation: you divide the cost by the materials I believe (I’m sorry if it’s wrong)
Answer:
2.85
Step-by-step explanation:
In order to find a unit price (price per item), you will need to divide.
In this case, we have the numbers 14.25 and 5.
So if we divide...
14.25 ÷ 5 = 2.85
We know the unit price.
The answer is 2.85.
Brainliest please?
Refer to the figure: The Triangle
Midsegment Theorem says the midpoints
(K and L) of two sides of a triangle will
result in parallel third sides such that KL is
half of MN.
A. Sketch ∆JKL and ∆JMN separately in the space below. Label all vertices.
Then explain, in detail, how you could
justify that the two triangles are similar, using the results of the Midsegment
Theorem.
What is the scale factor between the two triangles and how do you know?
Answer:
The Triangle Midsegment Theorem states that, if we connect the midpoints of any two sides of a triangle with a line segment, then that line segment satisfies the following two properties
Step-by-step explanation:
WILL AWARD BRAINLIEST!!! POLYNOMIALS
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
1.
[tex]kx^{2} + kx + \frac{25}{4}[/tex]
All you need to do is factor out [tex] \frac{1}{4}[/tex]
=[tex] \frac{4kx^{2 +} + 4kx + 25 } {4} [/tex]
if you evaluate it it will become
[tex]kx^{2} + kx + \frac{25}{4} [/tex]
────────────────────
2.
[tex] \frac{3y² + 1}{4} - \frac{y}{2} = 6[/tex]
[tex]3y² + 1 - 2y = 24[/tex]
[tex]3y² - 23 - 2y = 0[/tex]
[tex]3y² - 2y - 23 = 0[/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\times 3\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4-4\times 3\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4-12\left(-23\right)}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{4+276}}{2\times 3} [/tex]
[tex]y=\frac{-\left(-2\right)±\sqrt{280}}{2\times 3}[/tex]
[tex]y=\frac{-\left(-2\right)±2\sqrt{70}}{2\times 3}[/tex]
[tex]y=\frac{2±2\sqrt{70}}{6}[/tex]
[tex]y=\frac{2\sqrt{70}+2}{6}[/tex]
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
[tex]y=\frac{2-2\sqrt{70}}{6}[/tex]
[tex]y=\frac{1-\sqrt{70}}{3}[/tex]
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
So the answer is
[tex]y=\frac{\sqrt{70}+1}{3}[/tex]
════════════════════
Explanation:
#Carry on learning
Gene has a gasoline budget of $300 per month. He uses an average of $7 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving? A. y = 300 + 7x B. y = 7x - 300 C. y = 300x - 7 D. y = 300 - 7x
Answer:
y=300-7x
Step-by-step explanation:
since monthly budget for gasoline=$300
Per day, he uses an average of $7 of gasoline
after x days he will use $7x of gasoline.
remaining amount after x days of driving= 300-7x
the equation will be y= 300-7x
Ben is climbing a tree with a lot of branches. His height off the ground at time $t$ is $2t^2-5t+29$ feet. To the nearest foot, what will his minimum height be?
Using the vertex of the quadratic equation, it is found that his minimum height will be of 25.875 feet.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the equation is:
h(t) = 2t² - 5t + 29.
Hence the coefficients are a = 2 > 0, b = -5, c = 29, and the minimum height in feet is given by:
[tex]y_v = -\frac{(-5)^2 - 4(2)(29)}{4(2)} = 25.875[/tex]
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Ben minimum height above the ground when climbing the tree would be 25.875 feet
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that:
h(t) = 2t² - 5t + 29
The minimum height is at h'(t) = 0, hence:
h'(t) = 4t - 5
4t - 5 = 0
t = 5/4
h(5/4) = 2(5/4)² - 5(5/4) + 29 = 25.875 feet
Ben minimum height above the ground when climbing the tree would be 25.875 feet
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If you answer this TRUTHFULLY!!! THAT MEANS NO BOTS AND NO TROLLS!!. I WILL GIVE YOU 5 STARS THANK YOU, THANK YOU ON YOUR ACC ASWELL!!! AND....100 POINTS!!!!
Answer:
pay ($), y
Step-by-step explanation:
Well, in the number of hours you work determines your pay in this case. So, pay is dependent of the number of hours.
And, the dependent variable is usually represented by y in a x,y graph.
Serafina put a total of 42 cupcakes into packages. She put 6 cupcakes into each package. What is the total number of packages Serafina used for these cupcakes?
Answer:
7
Step-by-step explanation:
42 divided by 6 = 7 packages
Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be? A) 0.96 inches BY) 9.6 inches X) 16 inches D) 48 inches
Answer:
9.6in
Step-by-step explanation:
I took the test on USATestPrep
Robin has 10 books. There is enough space on a shelf for 4 books. In how many ways can 4 of the 10 books be
arranged on the shelf?
The number of arrangements of the books is an illustration of permutation
The books can be arranged in 5040 ways
How to determine the number of arrangements?The given parameters are:
Total books, n = 10Books to arrange, r = 4The number of arrangements is calculated as:
Ways = nPr
Substitute the given values
Ways = ¹⁰P₄
Apply the permutation formula
Ways = 10!/(10 - 4)!
Evaluate the quotient
Ways = 5040
Hence, the books can be arranged in 5040 ways
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Please Evaluate This Expression:
60 ÷ (3+7) + 7 • (9÷3)
Answer:
27
Step-by-step explanation:
60 ÷ (3+7) + 7 • (9÷3)=
60÷10+7•3=
6+7•3=
6+21=27
A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?
Answer:
Other two angles of quadrilateral measures 18° and 39°Step-by-step explanation:
Given that a quadrilateral has two angles that measure 222° and 81°.
Let other two angles of quadrilateral be 6x and 13x. We know that sum of all the angles of quadrilateral is 360°.
➝ 222 + 81 + 6x + 13x = 360°
➝ 303 + 19x = 360°
➝ 19x = 360° - 303
➝ 19x = 57
➝ x = 57/19
➝ x = 3
Hence,
6x = 6(3) = 18° 13x = 13(3) = 39°∴ Other two angles of quadrilateral measures 18° and 39°
Answer:
Measurement of other two angles are 39° and 19°
Step-by-step explanation:
Given :-
Quadrilateral has two angles of measurement 222° and 81° and the other two angles are in ratio of 6:13To find:-
The measurement of other two anglesSolution:-
Let the value of other two angles be 6x and 13x
We know , the sum of angle inside a quadrilateral is 360°
222° + 81° + 13x + 6x = 360°
19x = 360° - 303°
x = 3
So , the value of other two angles are
13 × 3 = 39°
6 × 3 = 18°
Which equation has only one solution? |x – 5| = –1 |–6 – 2x| = 8 |5x 10| = 10 |–6x 3| = 0
The linear equation which has only one solution would be |–6x + 3| = 0
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
|x – 5| = –1
The absolute function cannot be equal to the negative. so we cannot solve this absolute function.
|–6 – 2x| = 8
For this absolute function, we make two equations here
-6-2x= 8 and -6-2x= 8. So we will get two solutions for x.
|5x + 10| = 10
For this absolute function, we make two equations here
5x+10= 10 and 5x+10= -10. So we will get two solutions for x
|–6x + 3| = 0
For this absolute function we make two equations
-6x+3=0 and -6x+3=-0.
Both have the same 0 on the right side. So we will get only one solution for x
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Answer:
the answer is D.
Step-by-step explanation:
A has no solutions
B and C have two solutions.
therefore, none of these have only one solution.
The number of sit-ups that all tenth-grade girls can do in 5 minutes is normally distributed. beth surveyed 20 of her fellow intramural tennis players, all tenth-grade girls, and determined the mean number of sit-ups they could do. can she make an inference about the population mean for all tenth-grade girls based on the sample? no, because the sample size was not big enough. no, because she did not use a simple random sample. yes, because the sample size was big enough. yes, because she used a simple random sample.
The true statement is as follows "No because she did not use a simple random sample".
What is random sampling?Random sampling is the method to choose the given samples of observation to make assumptions about the population.
It is given that
Population: All tenth-grade girls
Sample: 20 intramural tennis players
The 20 intramural tennis players cannot represent all tenth-grade girls.
This is so because the selection is biased here, and it could not be used to make inferences about the overall population. then she did not use a simple random sample.
Hence, the true statement is (b)
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Answer:
the correct answer is B.
Step-by-step explanation:
~Hope this helps! :)
When Fritz drives to work his trip takes 35 minutes, but when he takes the train it takes 15 minutes. Find the distance Fritz travels to work if the train travels an average of 80 miles per hour faster than his driving. Assume that the train travels the same distance as the car.
Answer:
35 miles
Step-by-step explanation:
Let's say Fritz travels at x miles per hour via train and y miles per hour via car.
(speed of car) + 80 miles per hour = speed of train
y + 80 = x
Speed * time = distance
Speed of train * time of train = distance = speed of car * time of car
x * 15 minutes = y * 35 minutes
convert minutes to hours since miles per hour is in terms of hours
60 minutes = 1 hour
15 minutes = ? hours
multiply 15 minutes by 1 hour/60 minutes. since 60 minutes = 1 hour, we can divide both sides by 60 minutes to get 1 hour/60 minutes = 1. we can always multiply by 1, so we do that here. note that the minutes are in the denominator so the 15 minutes cross out with the 60 minutes, leaving us with only hours as our unit.
15 minutes = 15 minutes * 1 = 15 minutes * 1 hour/60 minutes = 15/60 hours = 3/12 hours
similarly, 35 minutes * 1 hour/60 minutes = 35/60 hours = 7/12 hours
x * 15 minutes = y * 35 minutes
x * 3/12 hours = y * 7/12 hours
plug y+80 in for x
(y+80) * 3/12 hours = y * 7/12 hours
(3/12) * y + 20 = (7/12) * y
subtract (3/12) * y from both sides to isolate the variable (y) and its coefficient
20 = (4/12) * y
multiply both sides by 12/4 (the inverse of the coefficient) to get rid of the coefficient
20*12/4 = y = 60
y = 60 miles per hour
x = y + 80 = 140 miles per hour
distance = x * 3/12 hours = 140 miles/hour * 3/12 hours= 35 miles
A patio has dimensions of 25 feet by 35 feet. What is its area?
Answer:
3
Step-by-step explanation:
In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.
Step 1: Draw a rectangle where the width is x and the length is x + 5.
Step 2: Find the sum of the lengths and the sum of the widths
2 times the length plus 2 times the width equals the perimeter
2(x + 5) + 2(x) = 54
Step 3: Solve for the width
2(x + 5) + 2(x) = 54
2x + 10 + 2x = 54 (Distributive Property)
4x + 10 = 54 (Group Like Terms)
4x = 44 (Subtraction Property of Equality)
4x/4 = 44/4
x = 11 (Division Property of Equality)
x = width = 11
Step 4: Solve for the length
x + 5 = length
11 + 5 = 16
Length = 16. So (3) must be the answer.
If you only have 36ft of fence to build with, what is the maximum area you can have?
The maximum area would be a square with 4 identical sides.
36/4 = 9
Each side would be 9 feet long.
Area = 9 x 9 = 81 square feet
Answer: 81 square feet
What is the final answer
Answer:
Step-by-step explanation:
I just came to the realization that your probably cheating. Don't cheat, it doesn't help you now or in the long run. Nevertheless, I have already outlined the method like three times. So, at the very least, attempt this question hoenstly.
WHAT IS [tex]\frac{P^{8} +1}{P^{4} }[/tex] WHEN [tex]P-\frac{1}{P}=11\\[/tex]
Answer:
5.4232
Step-by-step explanation:
this should be correct
I need help on my math homework