Answer:
-721 is greater than -723.
Step-by-step explanation:
Answer:
x < - 721
Step-by-step explanation:
x < - 721 is the one according to the pictured line
solve for x. 7x+4=30
Answer: x≈3.7
Step-by-step explanation:
7x+4=30
-4 on both sides
30-4=26
7x=26
divide 7 on both sides
x=3.7142...
Answer:
3.7
Step-by-step explanation:
7x+4=30
7x=30-4
7x=26
26/7
3.7
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answer:
(f-g) (x) is
[tex] {4}^{x} - 5x - 14[/tex]
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]
The final answer is
[tex] {4}^{x} - 5x - 14[/tex]
Hope this helps you.
The population of China was about 1,360,000,000 people in 2014. Which number best approximates the population as a single digit times a power of 10?
Answer: 1 * 10^9
Step-by-step explanation:
1*10^9 = 1,000,000,000, which is the closest you can get.
Hope it helps <3
Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
31:9
Step-by-step explanation:
Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that
\begin{align*}
A + n &= 4(B - n),\\
A - n &= 3(B + n).
\end{align*}
Simplifying, we have
\begin{align*}
A + 5n &= 4B, \\
A &= 3B + 4n.
\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.
Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.
What is the sign of the product (−4)(2)(−3)(6)? (5 points) Select one: a. Positive, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is positive b. Positive, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is positive c. Negative, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is negative d. Negative, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is negative
Answer: Option A
Step-by-step explanation:
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y2 Is the student’s work correct? No, she did not multiply –6y2 by 2 correctly. No, she did not add 3y2 and –12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly.
Answer:
No, She did not use the distributive property correctly.
Step-by-step explanation:
While multiplying [tex](3-6y^2)(y^2+2)[/tex], he did not use distributive property correctly. She only multiplied 3 with [tex]y^2[/tex] and not with 2. Also she multiplied [tex]-6y^2[/tex]only with 2 and not with [tex]y^2[/tex].
Answer:No, She did not use the distributive property correctly.
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =
Answer:
2x -3y = 19
Step-by-step explanation:
For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-5-(-1))/(2 -8)(x -8) +(-1)
y = -4/-6(x -8) -1
3y = 2x -16 -3 . . . . multiply by 3
2x -3y = 19 . . . . . . rearrange to standard form
__
The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.
Answer:
2x + -3y = 19
Step-by-step explanation:
I promise
Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α???
Answer:
c= 60
Step-by-step explanation:
The value of measure of angle C of a triangle ABC is 60°.
Here,
Given that, in a triangle value of two angles is,
m∠A = 60°+α, m∠B = 60°−α
We have to find the angle C of a triangle ABC.
What is sum of angle in triangle?
In a triangle, The sum of angles of a triangle is 180°.
Now,
Given that, in a triangle value of two angles is,
m∠A = 60°+α, m∠B = 60°−α
Let measure of angle C is x°.
⇒ Sum of all angle of triangle = 180°
⇒( 60°+α )+ ( 60°−α ) + x° = 180°
⇒ 120° + x° = 180°
⇒ x° = 180° - 120°
⇒ x° = 60°
Hence, The value of measure of angle C of a triangle ABC is 60°.
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Evaluate 3(4-2) what would be the answer to this
Answer:
6
Step-by-step explanation:
3(4 - 2)
Expand brackets.
3(4) + 3(-2)
12 + - 6
= 6
━━━━━━━☆☆━━━━━━━
▹ Answer
6
▹ Step-by-Step Explanation
Follow PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
3(4 - 2)
3(2)
= 6
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
rationalize the denominator of
1/3+√2
Answer:
(-√2 + 3)/7
Step-by-step explanation:
To rationalize the denominator, we need to multiply by the conjugate:
1/(3 + √2)*(3 - √2)/(3 - √2)
(3 - √2)/(9 - √4)
(3 - √2)/(9 - 2)
(-√2 + 3)/7
A small grain silo is filled with wheat at the end of each season. If the silo is only half full, how many cubic meters of wheat have been stored? Group of answer choices 339.29 m³ 223.19 m³ 169.65 m³ 113.10 m³
Answer:
Volume of wheat = 147.26 m³ (check the explanation)
Step-by-step explanation:
The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).
Let's list out the parameters to be used:
diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,
height (h) = 15 m
Volume of silo = πr²h = π * 2.5² * 15
V (silo) = 294.52 m³
The silo is half full ⇒ ½ * V
Volume of wheat stored is given by half of the silo volume, since the silo is half-full
V (wheat) = ½ * 298.52
V (wheat) = 147.26 m³
Round 0.0008873319 to 2 significant figures
Answer:
0.00089.
Step-by-step explanation:
The third significant figure is 7 so we round up the 8,
Which number(s) below belong to the solution set of the inequality? Check all that apply x + 30 < 60 a.300 b.1 c.29 d.30 e.50 f.45
Answer:
b and c
Step-by-step explanation:
x+30<60 -->x < 60 -30 = 30 --> x < 30
Answer:
B and C
Step-by-step explanation:
We can solve for x in the inequality just like you do when solving algebra equations of an = sign.
x + 30 < 60
x + 30 - 30 < 60 -30
x < 30
"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.
Since x is smaller than 30, and is not 30,
the only option that is correct is B, 1 and C, 29.
The figure below shows a line graph and two shaded triangles that are similar:
-20-16-12-8-40
-1
4 8 12 16 20
Which statement about the slope of the line is true?
The slope from point o to point A is one-fourth times the slope of the line from point A to point B.
The slope from point o to point A is four times the slope of the line from point A to point B.
Olt is throughout the line
It is -4 throughout the line.
Answer:
It is - [tex]\frac{1}{4}[/tex] throughout the line
Step-by-step explanation:
The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)
m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]
Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.
Jason is playing a game. He has two sets of cards. One set has three red cards, numbered 1, 2 and 3. The other set has four green cards, numbered 4, 5, 6 and 8. Jason chooses a red card and a green card at random. He works out his score by adding the numbers on the two cards together. A sample space diagram is drawn below. Work out the probability that Jason gets a score of 9 or more.
Answer:
1/3
Step-by-step explanation:
There are 12 different sums.
4 of the sums are 9, 9, 10, 11.
All other sums are 8 or less.
p(9 or more) = 4/12 = 1/3
Which of the following best describes the slope of the line below?
A. Zero
B. Positive
C. Negative
D. Undefined
Answer:
C. Negative
Step-by-step explanation:
We know that
The farther right this line goes the further it goes down.
This is a negative slope.
If this line was directly vertical it would be undefined.
If it was horizontal it would be zero.
Answer:C
Step-by-step explanation:
Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.
i need help with this i dont understand at all. find the 1st, 2nd, 3rd, 4th and 10th nTh term rule is n+5
The rule is n + 5
So we have that
an = n + 5
Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term
a1 = 1 + 5 = 6
a2 = 2 + 5 = 7
a3 = 3 + 5 = 8
a4 = 4 + 5 = 9
a10 = 10 + 5 = 15
Expand the following bracket -8(2d-3)
Answer:
-16d+24
Step-by-step explanation:
=> -8(2d-3)
Expand the brackets and use distributive property.
=> (-8 × 2d)+(-8 × -3)
Multiply
=> (-16d) + (24)
=> -16d+24
Answer:
-16d + 24
Step-by-step explanation:
-8(2d - 3)
Expand or distribute.
-8(2d) -8(-3)
Multiply the terms.
-16d + 24
Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
half of room because worker A can paint fast so he will paint fast
Answer:
5/6 of the room would be painted if both of them painted the room together in 1 hour
Step-by-step explanation:
Work done by A in 1hour=1/2
Work done by B in 1hour=1/3
Therefore total work done by both in 1hr=1/2+1/3
LCM of 2 and 3 is 6
therefore 1/2+1/3=3/6+2/6=5/6
AC is tangent to circle o at point c. What is the length of AC? ___________ units. diagram below pls help
Answer:
AC = 4 units
Step-by-step explanation:
[tex] OB = OC = 3 (Radii \:of \:same \:circle) \\
OA = OB + AB = 3 + 2 = 5\\
OA \perp AC.. (tangent\: \perp radius) \\
\therefore m\angle OCA = 90\degree \\[/tex]
By Pythagorean theorem:
[tex] AC^2 = OA^2 - OC^2 \\
= 5^2 - 3^2 \\
= 25-9\\
= 16\\
AC =\pm \sqrt{16}\\
AC = \pm 4[/tex]
Since, side of a triangle can't be negative.
Therefore, AC = 4 units
The Empire State Building in New York City is 1250 ft tall. What is the
distance from the top of this building to the horizon to the nearest mile? (Hint: 5280 ft 1 mi; radius of Earth 4000 mi)
Answer:
33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.
Answer:
you go to th harris right cause u literally have the same summer schools answers
Step-by-step explanation:
1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Answer:
C
Step-by-step explanation:
Equation A
16x - 7 = 11x - 32
(16x - 7) - 11x = (11x - 32) -11x
5x - 7 = -32
(5x - 7) + 7 = (-32) + 7
5x = -25
(5x)/5 = (-25)/5
x = -5
Equation B
-4x - 10 = 2x + 20
(-4x - 10) - 2x = (2x + 20) - 2x
-6x - 10 = 20
(-6x - 10) + 10 = (20) + 10
-6x = 30
(-6x)/-6 = (30)/-6
x = -5
Both Equation A and Equation B have a solution of -5.
help me please :( ill give u brainnlyyyyyyy :DDD
Answer:
180 grams
Step-by-step explanation:
2 people = 5 ounces
6 people= 5*3= 15 ounces
1 ounce= 28 grams
15 ounces= 15*28 grams= 420 grams
There is 240 grams already on the weight, so
420- 240= 180 grams more of diced onions are required
Identify the property that justifies the following statement: I will make you a brainllest.
Answer:
reflexive property of simliarity
Step-by-step explanation:
if the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.
6y + 3 + (2y + 3) = please help me
Answer:
y = -3/4
Step-by-step explanation:
1. Simplify all terms - 8y + 6 = ?
2. Set to two sides - 8y = -6
3. Solve - y = -6/8 = -3/4
Hope this helps:)
A polynomial function can be written as (x + 1)(x + 4)(x – 7). What are the x-intercepts of the graph of this function?
(1,0), (4,0), (7,0)
O(-1,0), (-4,0), (-7,0)
O (1,0), (4,0), (-7,0)
O(-1,0), (-4,0), (7,0)
Answer:
fourth option
Step-by-step explanation:
Given
f(x) = (x + 1)(x + 4)(x - 7)
To find the x- intercepts let f(x) = 0, that is
(x + 1)(x + 4)(x - 7) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
x - 7 = 0 ⇒ x = 7
x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )
Which is a factor of: 2x^2+2x−12 ?
Answer:
(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12
Step-by-step explanation:
2x² + 2x - 12 given equation
Now divide it by 2 we get,
x² + x - 6
then
x² + x - 6
x² + 3x - 2x - 6
x(x + 3) - 2(x + 3)
(x - 2) (x + 3)
Answer:
2 ( x+3)(x-2)
Step-by-step explanation:
2x^2+2x−12
Factor out 2
2 ( x^2 +x-6)
Factor inside the parentheses
What 2 numbers multiply to -6 and add to 1
3*-2 = -6
3+-2 =1
2 ( x+3)(x-2)
1. What is the exact circumference of a circle that has a radius of 10 cm?
Answer:
62.8318531
10 x 2 = 20 so 20 is the diameter
20 x pi = 62.8318531
Hope this helps
Step-by-step explanation:
The exact circumference of a circle that has a radius of 10 cm is 62.8318531
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Given that circle that has a radius of 10 cm
The circumference is given by
C = 2πr
= 2π10
= 20π
10 x 2 = 20
Therefore, 20 is the diameter
So, 20 x π = 62.8318531
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