Answer:
x = [tex]\frac{p}{2}[/tex]
Step-by-step explanation:
x ∝ p
x = kp -------(1)
Where k is the constant of proportionality.
Now, x = 2 when p = 4
Putting in the above formula
2 = k(4)
Dividing both sides by 4
k = [tex]\frac{2}{4}[/tex]
=> k = [tex]\frac{1}{2}[/tex]
Putting k in (1)
x = [tex]\frac{p}{2}[/tex]
Now this is the required equation connecting both.
Simplify (3^-2)^4
Arrows mean it’s a exponent .
A.) 1/3^2
B.) 3^8
C.) 3^2
D.) 1/3^8
Answer:
D
Step-by-step explanation:
Answer:
D)1/3^8
Step-by-step explanation:
(3^-2)^4
3^-8
1/3^8
3 raised to the power of 8
1/6561 or 1/3^8
Find the area of a triangle that has a base of 6 foot in the height of 5 foot
Answer:
15 ft²
Step-by-step explanation:
Area of a Triangle Formula: 1/2bh
We are given b and h. Simply plug them in and calculate:
1/2(5)(6)
3(5)
15
The model below can be used to find the quotient of 1/2÷1/4. What is the quotient?
Step-by-step explanation:
The quotient is 0.125
I think this should be the answer
Answer:
0.125
Step-by-step explanation:
Athena is going to draw one marble from a paper sack. Inside the sack, there are 6 blue marbles, 6 black marbles, 3 green marbles, and 2 purple marble. What is the complement to the probability that she will draw a purple marble? A 16/17 B 15/17 C 13/17 D 2/7
Answer:
D. 2/17
Step-by-step explanation:
Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.
Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.
Your teacher puts four slips of paper in a jar, each with a different shape. Every day,
each person chooses one paper from the jar to determine what activity they get to do
at the end of the day. After choosing, the paper is always returned to the jar.
What is the probability of choosing the paper with a circle on it?
CLEAR
CHECK
%
Answer:
The answer would be a 25% chance of picking the paper with a circle on it
Step-by-step explanation:
Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.
Calculate the lateral area of a right prism with a heptagon base side of 4 feet and a
height of 10 feet.
Answer:
280 ft2
Step-by-step explanation:
The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.
The area of one of these rectangles is:
[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]
Then, the area of the seven rectangles is:
[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]
So the lateral area of this prism is 280 ft2.
Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8)
Answer:
1. 60z, 36
2. 96a, 88
Step-by-step explanation:
1.
First, find the like terms for z. (60z)
Second, find the like terms for 20, 4, and 12. (36)
2.
Combine the 88a and 8a (96a)
Then combine 8 plus 80 (88)
Answer:
(50z+20)(10z+4)
=50z(10z+4)+20(10z+4)
=500z²+200z+200z+80
=500z²+400z+80
(88a+80)(8a+8)
=88a(8a+8)+80(8a+8)
=704a²+704a+640a+640
=704a²+1344a+640
Step-by-step explanation:
i hope this will help you:)
Can someone help me with the below question???
Answer:
so 2a+3b=±13
Step-by-step explanation:
4a²+9b²=97
ab=6
2a+3b=?
by using formula
(a+b)²=a²+b²+2ab
(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)
(2a+3b)²=4a²+9b²+12ab
putting values
(2a+3b)²=97+12(6)
(2a+3b)²=97+72
(2a+3b)²=169
taking square root on both sides
√(2a+3b)²=√169
2a+3b=±13
i hope it will help you
Answer:
2a+3b = 13
Step-by-step explanation:
Using this formula
[tex](x+y)^2 = x^2+y^2+2xy[/tex]
Where,
x = 2a and y = 3b
Putting in the above formula
=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]
Putting 4a²+9b² = 97 and ab = 6
=> (2a+3b)² = 97+12(6)
=> (2a+3b)² = 97+72
=> (2a+3b)² = 169
Taking sqrt on both sides
=> 2a+3b = 13
What is the solution to this equation?
7x-2(x - 10) = 40
O A. x= 10
O B. x= 4
O c. x = 12
O D. x= 6
Answer:
B.
Step-by-step explanation:
The quickest and fastest way to do this is to guess and check. Simply plug in the given values one by one into a calc and you should see that x = 4 works.
Answer:
x=4
Step-by-step explanation:
7x-2(x - 10) = 40
Distribute
7x -2x +20 = 40
Combine like terms
5x +20 =40
Subtract 20
5x +20 -20 = 40-20
5x= 20
Divide by 5
5x/5 = 20/5
x =4
A box contains red, purple and green beads in the ratio 4:6:7 There are 1428 more green beads than red beads.
How many green beads are in the box?
Answer:
3332 green beads
Step-by-step explanation:
There are 1428 more green beads than red beads.
There are 3,332 greed beads in the box
Given :
A box contains red, purple and green beads in the ratio 4:6:7
From the given ratio,
number of red beads = 4x
number of purple beads= 6x
number of green beads= 7x
There are 1428 more green beads than red beads.
green beads =1428 + red beads
[tex]7x=1428+4x\\3x=1428\\x=476[/tex]
we know that number of green beads= 7x
number of green beads= [tex]7(476)=3332[/tex]
There are 3,332 greed beads in the box
learn more : brainly.com/question/20318626
What is an expression equivalent to
8
with a denominator of 11d.
11
Answer: 88/11.
Step-by-step explanation:
We want to find a expression, with a denominator of 11, that is equivalent to 8.
remember that if we have the expression A/B
the numerator is A, and the denominator is B.
Then we have:
A/11 = 8
we need to find the value of A.
To do this, we can multiply by 11 in both sides of the equation:
(A/11)*11 = 8*11
A = 88
Then the expression is:
88/11.
3. Nancy and Harry are sliding a stone statue and moving it to a new location in their garden. Nancy is pushing the statue with a force of 120N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180N at a 40° angle with the horizontal. What is the magnitude of the horizontal force exerted on the statue?
Answer:
197,8879 N.
Step-by-step explanation:
The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.
The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.
With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.
The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.
F= (120 N cos 60°) + (180 N x cos 40°)
F= 197,8879 N
Which point is in Quadrant IV?
Answer:
1,1 or -1,3
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
bottom right quadrant is IV
3 quarts but in cups
Answer:
12 cups
Step-by-step explanation:
there are 4 cups in 1 quart. You multiply both of them by 3 so there are 12 cups in 3 quarts
Answer:
12 cups
Step-by-step explanation:
1 quart = 4 cups
4*3 = 12
12 cups
brainliest??
PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.
y 2x + 2
y 2x + 1
y < 2x
y 2
Answer:
the correct one is y < 2x
Step-by-step explanation:
Answer:
y 2x + 1 or B
Step-by-step explanation:
thats whats right on edge
given that2025=
[tex] {3}^{k \times } {5}^{t} [/tex]
state the values of k and t
Answer:
k = 4, t = 2
Step-by-step explanation:
Express 2025 as a product of its prime factors
2025 = [tex]3^{4}[/tex] × 5², that is
[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]
Comparing exponents of same bases on both sides, gives
k = 4 and t = 2
Which equation is parallel to the line y=2x+6 and passes through the point (8,1)?
y = 2x+6
y = 2x-15
y = 2x+10
y = -2x-7
The answer is y = 2x - 15
The equation of a line is y = mx +c
m = slope
c = y intercept
From this equation y=2x+6
m = 2
Since the lines are parallel their gradients are also the same
Equation of the line using point (8,1) is
y - 1 = 2(x-8)
y - 1 = 2x - 16
y = 2x - 15
Hope this helps
Answer: y=2x-15
Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15
Which is the graph of the function f(x) = -√x
Answer:
1st Graph
Step-by-step explanation:
Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.
On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?
Answer:
Christian made $191.25 and Kenneth made $127.50 each.
Step-by-step explanation:
With each dog, you multiply how many dogs with the amount of cash they get each dog.
Christian: 15x12.75= $191.25
Kenneth: 10x12.75= $127.50
So you just multiply the amount of dogs with money :)
Given the diagram below, what is cos(45") ?
A. 22
B.
C.
V2
D. 4,2
Aria and her children went into a bakery and will buy donuts and brownies. She must buy at least 6 donuts and brownies altogetherWrite an inequality that would represent the possible values for the number of donuts purchased, d, and the number of brownies purchased, b.
Answer:
Inequality for donuts and brownies is;
d ≥ 1 ≤ b
Step-by-step explanation:
We are told that aria will buy donuts and brownies.
We are also told that, number of donuts is d while number of brownies is b.
We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.
So the inequality will be;
d + b ≥ 6
Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b
Answer: d+b≥6 is the correct answer trust me
What is the product of 6x – y and 2x – y + 2?
Answer:
12x^2 - 8xy + y^2 + 12x - 2y
Step-by-step explanation:
Maria, Max, Molly, and Mitch are all picking apples at an orchard. The number of apples Max picks is the number of apples Maria picks squared. Molly picks the number of apples that Max and Maria pick combined. Mitch picks the number of apples Molly picks squared plus the number of apples that Maria picks. If Maria picks 3 apples, then how many apples does Mitch pick
Answer:
147
Step-by-step explanation:
Given: Maria=3
Max=3 squared=9
Molly=Max+Maria=9+3=12
Mitch=Molly squared+Maria=144+3=147
Hope this helps!
Solution:
Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.
2p+8=20-p what is the value of p??
Answer:
4
Step-by-step explanation:
3p+8=20
3p=12
p=4
Answer:p=4
Step-by-step explanation:
2p+8=-p+20
Step 2: Add p to both sides.
2p+8+p=-p+20+p
3p+8=20
Step 3: Subtract 8 from both sides.
3p+8-8=20-8
3p=12
Step 4: Divide both sides by 3.
3p/3=12/3
p=4
If y varies directly with x, and y is 14 when x is 2,
what is the value of x when y is 35?
X =
DONER
nt of
Answer: x = 5
Step-by-step explanation:
14 / 2 = 7
7 * 5 = 35
Same applies for x
2 / 2 = 1
1 * 5 = 5
Write as an expression: Twice the square of the product of x and y
Answer:
2* (xy)^2
Step-by-step explanation:
First find the product of x and y
xy
The square it
(xy)^2
The twice it ( multiply by 2
2* (xy)^2
Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.
Answer:
3234
4312
5390
Step-by-step explanation:
3x +4x + 5x = 12936
12x = 12936
Solve 2cos ²y -siny -1=0 for 0° ≤y≤360°
[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]
.
[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]
Here is a list of numbers.
13 27 81 21 43 48 23 39 45
From this list, write down
a) The even number.
48
b) The square number.
81
c) All the prime numbers.
Answer:
13,27,43,23,39.
i think these r the prime numbers
The prime numbers are:
13, 43, 23
Find the volume of a prism that is 5 m long, 40 cm wide, and 2500 mm high.
Answer:
5.0 [tex]m^3[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given as:
V = L * W * H
where L = length
W = width
H = height
Put all the dimensions in the same unit, metre (m).
Length = 5 m
Width = 40 cm = 40 / 100 = 0.4 m
Height = 2500 mm = 2500/1000 = 2.5 m
The volume of the prism is:
V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]