3.)3 * (2x - 6)
4.)2x * (5x + 11)
3) [tex]3(2x-6)=\boxed{6x-18}[/tex]
4) [tex]2x(5x+11)=10x^{2}+22x[/tex]
A cylinder has a diameter of 14 cm and height of 20cm . find the curved surface area
Answer:
879.6452 cm
Step-by-step explanation:
The curved surface area of a cylinder is calculated using the formula, curved surface area of cylinder = 2πrh, where 'r' is the radius and 'h' is the height of the cylinder.
diameter = 2r
14=2(r)
7=r
2(π)(7)(20) cm
2(3.14159)(7)(20)
879.6452
What is the equation of the line that passes through (-3, 4) and (3, -2)?
y = - x - 1
y = x + 7
y = x - 1
y = - x + 1
Answer:
y = -x +1
Step-by-step explanation:
p1 (-3,4)
p2 ( 3, -2)
line equation y = mx + b
The slope m equals
[tex] \frac{y2 - 21}{x2 - x1} [/tex]
[tex] \frac{ - 2 - 4}{3 - - 3} = \frac{ - 6}{6} = - 1[/tex]
y = - x + b
from any point
-2 = -3 + b
b = 1
line equation = y = -x +1
Question 4 of 10
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
B and D
Step-by-step explanation:
A is not a intersecting angles they are like doodles, B makes intersecting lines, C doesnt intersect properly its only like a Y with and extra angle and D is absolutely perfect. So, thats why its B and D
5) A restaurant menu has 6 starters, 10 mains and 6 desserts.
A customer can choose from the following meals
a starter and a main,
a main and a dessert,
a starter, a main and a dessert.
Show that there are 480 different ways of choosing a meal at this restaurant.
Answer: 360
Step-by-step explanation: 6 times 6 times 10 = 360
PLEASE HELP
If 2 pounds is equal to 3 dollars, which of the following is incorrect?
A. 11 pounds is 16.50 dollars
B. 28 pounds is 44 dollars
C. 10 pounds is 15 dollars
D. 23 pounds is 34.50 dollars
Therefore, the incorrect statement is option B, which states that 28 pounds is equal to 44 dollars. The correct value should be 42 dollars.
To determine which statement is incorrect, we can use the given conversion rate of 2 pounds being equal to 3 dollars and evaluate each option accordingly:
A. 11 pounds is 16.50 dollars:
To check this, we can multiply 11 pounds by the conversion rate:
11 pounds * (3 dollars / 2 pounds) = 16.50 dollars
This statement is correct.
B. 28 pounds is 44 dollars:
Using the same calculation:
28 pounds * (3 dollars / 2 pounds) = 42 dollars
This statement is incorrect because 28 pounds would actually be equal to 42 dollars, not 44 dollars.
C. 10 pounds is 15 dollars:
Again, applying the conversion rate:
10 pounds * (3 dollars / 2 pounds) = 15 dollars
This statement is correct.
D. 23 pounds is 34.50 dollars:
Using the conversion rate:
23 pounds * (3 dollars / 2 pounds) = 34.50 dollars
This statement is correct.
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3. If there are 104 ounces in 2 quarts, how many quarts are there in 260 ounces?
A. 5
B. 2.5
C. 26
D. 1300
Which composition of similarity transformations maps ΔLMN to ΔL'M'N'?
Option A: a dilation with a scale factor less than 1 and then a reflection
Option B: a dilation with a scale factor less than 1 and then a translation
Option C: a dilation with a scale factor greater than 1 and then a reflection
Option D: a dilation with a scale factor greater than 1 and then a translation
What value of k makes the equation true? (5a^2n^3(6a^kb)=30a^6b^4
An equation is formed when two equal expressions. The value of k that makes the equation true is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of k that will make the equation true is,
[tex]5a^2b^3(6a^kb)=30a^6b^4\\\\30\ a^{(2+k)}\ b^{(3+1)} = 30\ a^6\ b^4\\\\30\ a^{(2+k)} \ b^4 = 30\ a^6\ b^4\\\\a^{(2+k)} =a^6\\\\2+k = 6 \\\\ k = 4[/tex]
Hence, The value of k that makes the equation true is 4.
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What is the image of (-9,3)(−9,3) after a reflection over the y-axis?
Answer:
(9, 3 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 9, 3 ) → (9, 3 )
solve this question - one half x - 18 = 2
Answer:
x=10
Step-by-step explanation:
what are the x-intercept(s) of the function
To find the zeros of a rational function, we must identify values of x that make the numerator equal to 0. We can do this by factoring and by keeping in mind the zero-product property.
The zero-product property states that if the product of two terms is 0, then one of the terms must be equal to 0.
Solving the QuestionWe're given:
[tex]f(x)=\dfrac{4x^2-36x}{x-9}[/tex]
First, factor 4x out of the numerator:
[tex]f(x)=\dfrac{4x(x-9)}{x-9}[/tex]
Let f(x) = 0:
[tex]0=\dfrac{4x(x-9)}{x-9}[/tex]
In this case, either x or (x-9) is equal to zero, as they are the two terms being multiplied in the numerator to get 0 as a product.
This makes the x-intercepts of this function 0 and 9.
However, the denominator in this function is x - 9. If x = 9, then it would make the denominator 0, which is not allowed. Therefore, x cannot equal 9, and the only x-intercept is 0.
Answerx = 0
Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
1/7 -3(3/7n-2/7)
The expression 1/7 – 3(3/7n – 2/7) is equivalent to the expression 1 – 9/7n.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ 1/7 – 3(3/7n – 2/7)
On simplifying the expression, we have
⇒ 1/7 – 9/7n + 6/7)
⇒ 1 – 9/7n
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Answer:
-9/7 n + 1
Step-by-step explanation:
On khan
The difference of the product of 3 and 6 minus the quotant of 6 / 2
Answer:
Answer:
(3*6) - (6/2) = 15
Step-by-step explanation:
3 and 6 are being multiplied by them selves, and then subtracted by the answer of 6/2.
The answer of the equation is 15.
Which model best represents the situation
Answer:
A
Step-by-step explanation:
she worked a total of 34 hours , then
x + y = 34
earnings are $10 per hour babysitting , that is 10x for x hours
$15 per hour for yardwork, that is 15y for y hours
she made a total of $410 , then
10x + 15y = 410
system of equations is
x + y = 34
10x + 15y = 410
Choose the simplified form of the fifth term of the
expansion.
O-60x²y³
O -30x²y³
O 30x²y³
O 60x²y³
The Correct Question is ......
Question :
Choose the simplified form of the fifth term of ⁶C₄ (2x)² (-y²)⁴
Answer: D. 60x²y⁸ is the simplified form of the fifth term of the
expansion ⁶C₄ (2x)² (-y²)⁴.
What is an Expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
This math operation can be addition, subtraction, multiplication, or division.
According to the Given Expression,
⁶C₄ (2x)² (-y²)⁴
The value of the combination can be written as,
[tex]= [\frac{6!}{4!(6-4)!} ] (2x)^{2} (-y^{2})^{4}[/tex]
= 15 (4x²) (-y²)⁴
The value of y can be written as,
= 15 (4x²) y⁸
= 60 x²y⁸
Therefore,
The value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.
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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
Answer:
1. m∠R > 90°
2. m∠S + m∠T < 90°
4. m∠R > m∠T
5. m∠R > m∠S
Step-by-step explanation:
General strategyprove the statement starting from known facts, ordisprove the statement by finding a counterexampleHelpful fact: Recall that the Triangle Sum Theorem states that m∠R + m∠S + m∠T = 180°.
Option 1. m∠R > 90°
Start with m∠R > m∠S + m∠T.
Adding m∠R to both sides of the inequality...
m∠R + m∠R > m∠R + m∠S + m∠T
There are two things to note here:
The left side of this inequality is 2*m∠RThe right side of the inequality is exactly equal to the Triangle Sum Theorem expression2* m∠R > 180°
Dividing both sides of the inequality by 2...
m∠R > 90°
So, the first option must be true.
Option 2. m∠S + m∠T < 90°
Start with m∠R > m∠S + m∠T.
Adding (m∠S + m∠T) to both sides of the inequality...
m∠R + (m∠S + m∠T) > m∠S + m∠T + (m∠S + m∠T)
There are two things to note here:
The left side of this inequality is exactly equal to the Triangle Sum Theorem expressionThe right side of the inequality is 2*(m∠S+m∠T)Substituting
180° > 2* (m∠S+m∠T)
Dividing both sides of the inequality by 2...
90° > m∠S+m∠T
So, the second option must be true.
Option 3. m∠S = m∠T
Not necessarily. While m∠S could equal m∠T, it doesn't have to.
Example 1: m∠S = m∠T = 10°; By the triangle sum Theorem, m∠R = 160°, and the angles satisfy the original inequality.
Example 2: m∠S = 15°, and m∠T = 10°; By the triangle sum Theorem, m∠R = 155°, and the angles still satisfy the original inequality.
So, option 3 does NOT have to be true.
Option 4. m∠R > m∠T
Start with the fact that ∠S is an angle of a triangle, so m∠S cannot be zero or negative, and thus m∠S > 0.
Add m∠T to both sides.
(m∠S) + m∠T > (0) + m∠T
m∠S + m∠T > m∠T
Recall that m∠R > m∠S + m∠T.
By the transitive property of inequalities, m∠R > m∠T.
So, option 4 must be true.
Option 5. m∠R > m∠S
Start with the fact that ∠T is an angle of a triangle, so m∠T cannot be zero or negative, and thus m∠T > 0.
Add m∠S to both sides.
m∠S + (m∠T) > m∠S + (0)
m∠S + m∠T > m∠S
Recall that m∠R > m∠S + m∠T.
By the transitive property of inequalities, m∠R > m∠S.
So, option 5 must be true.
Option 6. m∠S > m∠T
Not necessarily. While m∠S could be greater than m∠T, it doesn't have to be. (See examples 1 and 2 from option 3.)
So, option 6 does NOT have to be true.
Answer: Option 1, 2, 4, & 5 or
A. m∠R > 90°; B. m∠S + m∠T < 90°; D. m∠R > m∠T; & E. m∠R > m∠S
Step-by-step explanation: Trust Me!
m∠R > 90°m∠S + m∠T < 90°m∠R > m∠Tm∠R > m∠S
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The number of goldfish in a tank is 22, and the volume of the tank is 56 cubic feet. What is the density of the tank?.
Answer:
0.39??
Step-by-step explanation:
in an enlargement PQ P1Q1|PQ|=3cm and|P1Q1|=15cm.Calculate the scale of the enlargement.
Answer:
374795-57770
Step-by-step explanation:
Abby uses
is the number there three? if you answer to me i will give you twenty Points.
Answer:
t = 2
Step-by-step explanation:
Look at the fraction on the left, 1/3.
Notice that the denominator is 3 times the numerator.
Since the fractions are equal, for the second fraction, you also need the denominator to be 3 times the numerator. Since the denominator is 6, the numerator must be 2 since 6 is 3 times 2.
Answer: t = 2
Of course, since you have two fractions that are equal, and fractions are also ratios, you have a proportion.
You can solve the problem as a proportion.
1/3 = t/6
Cross multiply:
3t = 1 × 6
3t = 6
t = 6/3
t = 2
Either way, you get t = 2.
Fill in the table.
x y
-4 5
-2 3
0 1
2 -1
4 -3
This is a linear function which means that the domain and range are:
Domain:
Range:
*Reminder: another way to write negative infinity to positive infinity is
"all real numbers"
The domain of the linear function is a real number, and the range of the linear function is also a real number.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The table is given below.
x y
-4 5
-2 3
0 1
2 -1
4 -3
Then the linear function will be
y – 1 = [(5 – 1) / (- 4 – 0)] (x – 0)
y – 1 = -x
x + y = 1
Then the domain of the linear function is a real number and the range of the linear function is also a real number.
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Given the system of inequalities: 4x – 5y < 1 one-halfy – x < 3 which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6
The slope- intercept is y> (1-4x) / 5 and y< 2x + 6
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
4x – 5y < 1 and 1/2y – x < 3
Solving
4x – 5y < 1
-5y < 1- 4x
-y < (1-4x) / 5
y> (1-4x) / 5
Now, the second inequality,
1/2y – x < 3
1/2y< 3+x
y< 2x + 6
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For her class, Mrs. Norman bought 31 student tickets and 32 adult tickets, which cost a total of $854. Mr. Horton spent $837, getting 31 student tickets and 31 adult tickets. What is the price for each type of ticket?
Answer:
Each student ticket costs $10, and each adult ticket costs $17.
Step-by-step explanation:
Let s represent the cost of a student ticket and a represent the cost of an adult ticket.
31s + 32a = 854
31s + 31a = 837
----------------------
a = 17
31s + 31(17) = 837
31s + 527 = 837
31s = 310, so s = 10
What are the solutions to the system of equations?
Graph the system of equations to solve.
(−4,2) and (2,−1)
(0,0) and (−4,2)
(0,0) and (0,−2)
(2.9,0) and (−2.9,0)
Graphically, we will see that the solutions of the system are (−4,2) and (2,−1)
How to solve the system of equations?To solve the system of equations graphically, we need to graph both of the equations and see in which points the graphs intercept.
The graph of the system can be seen below, there you can see that the intercepts are at:
(-4, 2) and (2, -1)
So these are the two solutions of the system of equations.
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hich of the following descriptions matches the tree diagram below?
Answer:
B
Step-by-step explanation:
There is 2 options, win and lose, no tie so 3 and 4 get cancelled. there are only 2 roots so 1 gets cancelled leaving 2 (B)
Find the measure of angle 1.
5)
AB is a straight line.
A
152⁰
B
Let that angle be x
Linear pairs are supplementary
So
152+x=180x=180-152x=28°PLEASE PLEASE HELP ME WITH THSI MATH PROBLEM!!!
Answer:
23
Step-by-step explanation:
area of a trapezoid = 1/2 × (a + b) × h
so, we have
96 = 1/2 × ((4x - 1) + (x + 3)) × 6 = (5x + 2) × 3
32 = 5x + 2
30 = 5x
x = 6
a = 4x - 1 = 4×6 - 1 = 24 - 1 = 23
answer?........................
Answer:
x- intercept = - 1 , y- intercept = 2
Step-by-step explanation:
the x- intercept is the value of the x- coordinate where the curve crosses the x- axis , that is
x- intercept = - 1
the y- intercept is the value of the y- coordinate where the curve crosses the y- axis , that is
y- intercept = 2
The graph below represents which system of inequalities
Y≤-2×+3
Y≤x+3
y≥-2x+3
2 ≥x+3
Y ≤3x+2
Y ≤-x+2
Y >2x+3
Y >x+3
Answer:
a
Step-by-step explanation:
-3(2x-5)<5(2-x)
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct option is an open circle at 5 and a bold line starts at 5 and is pointing to the right.
The given inequality is -3(2x-5)<5(2-x).
What is inequality?Inequality is a declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
At first simplify each side
LHS of inequality -3(2x - 5) = -3(2x) + -3(-5) [∵(-)(-) = (+)]
⇒ -3(2x - 5) = - 6x + 15
Now, RHS of the inequality 5(2 - x) = 5(2) + 5(-x) [∵(+)(-) = (-)]
⇒ 5(2 - x) = 10 - 5x
Now, - 6x + 15 < 10 - 5x
Subtract 15 from both sides
That is, - 6x < -5 - 5x
Add 5x to both sides
That is, - x < - 5
Remember the coefficient of x is negative, and then when you divide both sides by it you must reverse the sign of inequality.
Now, the coefficient of x is -1
So, divide both sides by -1
Then, x > 5.
Hence, the correct option is an open circle at 5 and a bold line starts at 5 and is pointing to the right.
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