Answer:
2⁶
Step-by-step explanation:
law of indices states multiplication of powers in and out of bracket 3×2=6
[tex]\text{Let's work out:: 2 to the power of 3 to the power of 2 }\\\text{We can start by raising 2 to the power of 3:: 2*2*2=8, then raising that}\\\text{to the power of 2:: 8*8=64}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{The value is 64}[/tex]
solve this question - one half x - 18 = 2
Answer:
x=10
Step-by-step explanation:
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°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]
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
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:
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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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 )
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
A shop sells the same type of nails in 3
different sized packets.
Calculate the price per 10 nails for each
size of pack.
Write down which sized packet is the
best value for money in the comment
box.
Answer:
52, 53, 54, pack 1.
Step-by-step explanation:
1)
1.56 = 30
10 = 1.56 / 3
10 = 52 pence
2)
2.12 = 40
10 = 2.12 / 4
10 = 53 pence
3)
3.78 = 70
10 = 3.78 / 7
10 = 54 pence
The cheapest one is the small pack
simplify the ratio 42:63
Answer: 2:3
Step-by-step explanation:
common factor of 42 and 63: 21
42/21= 2
63/21= 3
find the common factor to find the ratio!
therefore the ratio is 2:3
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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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
a bag has 6 green, 4 red, 5 yellow and 15 blue marbles what is the possibility that the marble is red or blue
Answer: 19/30 or about 63%
Step-by-step explanation: Add all your marble up so 6+4+5+15 to get the total amount of options or marbles in this case. Now find out how many red and blue marbles you have so 4+15 or 19 now you can divide the red and blue marbles by the total amount of marbles to get your percentage of pulling a red or blue marble from the bag.
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
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)
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
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.
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:
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
What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc
The measure of the central angle of a circle is 45⁰
What is Angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
Here,
Theta (angle) θ = arc length / radius
θ = 15 π / 60 cm
θ = 0.79 radians
Convert to degrees
θ = 0.79 radians = 0.79 X 180/ π
= 0.79 X 180/ 3.14
= 45⁰
Thus, the measure of the central angle of a circle is 45⁰.
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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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Which measurement statement is correct?
Answer:
there are 2 cups in a pint is correct.
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
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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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
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
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
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
please help me solve this HCF
Answer:
(x+y)
Step-by-step explanation:
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Thus, the HCF is (x+y).
Answer:
(x + y)
Step-by-step explanation:
Factorizing both terms :
x² - y² = (x + y)(x - y)(x + y)² = (x + y)(x + y)The HCF of the terms is (x + y).
