Answer:
the number is 18.
Step-by-step explanation:
9×2 =18
18-10= 8
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
The answer is 17
Step-by-step explanation:
Use the distance formula as shown in the picture. I hope you can make sense of this. Let me know if it doesn't make sense.
Answer:
i am pretty sure the person upove me is right soo 17
Step-by-step explanation:
What are the solutions to this quadratic equation?
x2+13=8x+37
Answer:
x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 13 = 8 x + 37
Subtract 8 x + 37 from both sides:
x^2 - 8 x - 24 = 0
Add 24 to both sides:
x^2 - 8 x = 24
Add 16 to both sides:
x^2 - 8 x + 16 = 40
Write the left hand side as a square:
(x - 4)^2 = 40
Take the square root of both sides:
x - 4 = 2 sqrt(10) or x - 4 = -2 sqrt(10)
Add 4 to both sides:
x = 4 + 2 sqrt(10) or x - 4 = -2 sqrt(10)
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)
QUESTION 1 Determine the general solution of: 2 sin x. cos x = COS X
Starting with the given equation: 2 sin x cos x = cos x
By dividing both sides by cos x, we may simplify: 2 sin x = 1
Dividing both sides by 2:
sin x = 1/2
The values of x that fulfil sin x = 1/2 must now be found, and they are:
x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.
Therefore, the general solution is:
x = π/6 + 2πn or
x = 5π/6 + 2πn, where n is any integer.
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Does this represent a proportional relationship
Answer:
D.
Step-by-step explanation:
the suggested relation can be described as y=15x. Then the correct answer is D) Yes, the points are on the line that passes through the origin.
Guess the number.The number has two digits. The sum of the digits is eight. If the digits are reversed, the results is 18 less than the original number. What is the original number?
Answer:
The number has two digits. The sum of the digits is eight. If the digits are reversed, the results is 18 less than the original number. The answer of your question is 35. !!! ;)
HELPPP ASAPPP !!!
2. Point A on the graph below represents Nate's house, and Point B represents Nate's favorite restaurant. B A If each unit on the graph represents 3/4 of a mile, how many miles does Nate live from his favorite restaurant?
Answer:
10miles I think
Step-by-step explanation:
The required distance between, Nate's house and the restaurant is 7.5 miles.
From the graph,
Consider point C on the graph, which is 6 and 8 units apart from A and B respectively.
The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units
Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles
Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.
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Mr. Nelson is checking some of the school's sport balls to make sure they are in good shape and
properly inflated. Use the table of recommended air pressures to define the ranges for properly inflated
balls.
Ball
Average recommended psi Tolerance
(pounds per square inch)
Soccer ball 12.05
+3.55
Basketball 8.00
+0.5
I
Volleyball
4.44
+0.18
Part I: Write an absolute value inequality for the recommended air pressure range for each type of ball.
Use the variable x for the ball's actual air pressure. (3 points)
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: air pressures of properly inflated sports balls.
Average recommended psi Tolerance
(pounds per square inch)
Soccer ball 12.05 ±3.55
Basketball 8.00 ±0.5
Volleyball 4.44 ±0.18
Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:
X[bar]-S ≤ X ≤ X[bar]+S
So for each ball type, you can write it as:
Soccer ball
12.05-3.55 ≤ X ≤ 12.05+3.55
8.5 ≤ X ≤ 15.6
Basketball
8.00-0.5 ≤ X ≤ 8.00+0.5
7.5 ≤ X ≤ 8.5
Volleyball
4.44-0.18 ≤ X ≤ 4.44+0.18
4.26 ≤ X ≤ 4.62
I hope this helps!
Answer:
Step-by-step explanation:
This is what I got!
Part I:
Soccer ball: | x – 12.05 | ≤ 3.55
Basketball: | x – 8 | ≤ 0.5
Volleyball: | x – 4.44 | ≤ 0.18
Part II:
Basketball: | x – 8 | > 0.5
Part III:
Basketball:
| x – 8 | ≤ 0.5
x – 8 ≤ 0.5
x ≤ 8.5
x – 8 ≥ 0.5
x ≥ 7.5
7.5 ≤ x ≤ 8.5
if it is 5:00 will the clock show a right angel
Answer:
the clock hands do not form a right angle at 5:00.
Step-by-step explanation:
c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
What is (-2/3)+(7/8)?
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
\(\frac{(-2*24)/3+(7*24)/8}{24}\)=
\(\frac{-2*24/3+7*24/8}{24}\)=
\(\frac{-2*8+7*3}{24}\)=
\(\frac{-16+21}{24}\)=5/24
how to find the
value of 18.04 divided by 0.2
Answer:
18.04/0.2 = 90.2
Step-by-step explanation:
1
Given: - 2 x > 6.
Choose the solution set.
O{x|xER, x>-12}
{x|xER, x>-3}
{x|xER,x<-3}
(xxER, x < -12}
Answer:
x< -12
Step-by-step explanation:
-1/2x>6
x-2. x-2
x>-12
Since we multiply by we negative we flip the sign
x< -12
Hopes this helps
Write an equation of a line that does not have an x intercept
Answer:
x = 3
Step-by-step explanation:
GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!
Answer:
3/16 of her garden are red roses
she was not correct, 2/4 is not equal to 3/16
Step-by-step explanation:
3/4 garden are roses
1/4 of those are red (1/4 of 3/4)
3/4 (1/4) = 3/16 of her garden are red roses
Answer:
Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.
Step-by-step explanation:
hope this helps
3x+4
12. Simplify +
x+2
x²+2x
2x+4
Answer:
\(\dfrac{x^2+8x+8}{2x+4}\\\\\)
Step-by-step explanation:
Simplify:
\(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)
Multiply the denominator and the numerator of the first term by 2,
\(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)
\(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)
If Lakisha drinks 35% of the water in her water bottle which best represents the amount of water in the world that she did not drink
Given:
Lakisha drinks 35% of water
Let the amount of water she did not drink be x
Using the formula below, we can solve for x
\(x\text{ \% + \%water she drank = 100\%}\)Substituting and solving for x:
\(\begin{gathered} x\text{ + 35 = 100} \\ x\text{ =100 - 35} \\ \text{ x = 65\%} \end{gathered}\)Re-writing using fractions and simplifying:
\(\begin{gathered} x\text{ = }\frac{65}{100} \\ =\text{ }\frac{13}{20} \end{gathered}\)Answer: Option B
Help me solve these two problems! Show the work
Answer:
see explanation
Step-by-step explanation:
2
4x² + 64 ← factor out the common factor of 4 from each term
= 4(x² + 16)
3
(a - 10)² = 121 ( take square root of both sides )
a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )
a = 10 ± 11
then
a = 10 - 11 = - 1
a = 10 + 11 = 21
(Giving brainliest if u help!!)
Solve 9,168 ÷ 24 using standard algorithm
(Pls draw it out)
Answer:
382
Step-by-step explanation:
Use the information to answer the question. The table shows the amount of lemon juice and water that 4 students mix. Student Luca Kal Jenna Micah Lemon Juice Water (fluid ounces) (fluid ounces) 2 6 4 6 10 8 9 B Which two students mix the same ratio of lemon juice to water? Choose two students to show the answer.
The two students that mix the same ratio of juice to water is given as follows:
A. Luca.
D. Micah.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is given as follows:
a to b.
Which is also the division of the two amounts.
Hence the ratio of juice to water for each person is given as follows:
Luca: 2/6 = 1/3.Kal: 6/10 = 3/5.Jenna: 4/8 = 1/2.Micah: 3/9 = 1/3.Hence Luca and Micah used the same ratio, meaning that options A and D are correct.
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Manuel rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile driven. Manuel had to pay $141.11 when he returned the truck. For how many miles did he drive the truck?
Answer:
8
Step-by-step explanation:
What is the solution to the equation below? √2x/√x-7=3 A.x=9 B.x=8 C.x=10 D.x=11
Answer:
A)x=9
Step-by-step explanation:
On the picture
.......
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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Complete the equation describing how x and y are related.
Jin measures the temperature outside to be 35°C. He needs to convert the temperature to degrees Fahrenheit.
Degrees Fahrenheit = StartFraction 9 Over 5 EndFraction Degrees Celsius + 32
Evaluate the formula for degrees Fahrenheit to solve the problem. Then check all that apply.
First, write down the formula.
Next, substitute 35 for C.
Now, use the order of operations to simplify.
Do the multiplication first.
Do the addition first.
35°C is 95°F.
35°C is 138.6°F.
Answer:
35°C is 95°FStep-by-step explanation:
Formula for Fahrenheit
F = 9/5C + 32If C = 35°
Then, by using the formula, we get:
F = 9/5*35 + 32 = 9*7 + 32 = 63 + 32 = 95°Answer:
A B C D F
Step-by-step explanation:
Can i have brainliest #LLJW
PLEASE TELL ME WHAT TO WRITE HERE :’))
Answer: (Answer in explanation)
Step-by-step explanation:
(12)B > 180
Her goal is to make more than 180 so if she wants to sell each book for $12 then so if she sells 14 books or above she would get more than $180.
So B could equal anything 16 and above but in my case I chose 24
(12)24 = 288 > 180
So write a equation like mine that equals a number that's greater than 180. Keep in mind each book sells for $12 each. Then solve for B which is how many books she has to sell to get the number greater than 180.
The approximate volume of the planet Mercury is cubic miles. To the nearest mile, what is the approximate radius of Mercury?The approximate radius of the planet Mercury is cubic miles.
From the statement, we know that the approximate volume of planet Mercury is:
\(V=1.459\cdot10^{10}ml^3\text{.}\)The planet has a sphere shape. The volume of a sphere of radius r is:
\(V=\frac{4}{3}\cdot\pi\cdot r^3\text{.}\)Solving for the radius, we get:
\(\begin{gathered} r^3=\frac{3}{4\pi}\cdot V, \\ r=\sqrt[3]{\frac{3}{4\pi}\cdot V}\text{.} \end{gathered}\)Replacing the value of V, we get:
\(r=\sqrt[3]{\frac{3}{4\pi}\cdot1.459\cdot10^{10}ml^3}\cong1515.84767ml\cong1516ml.\)Answer
The radius of Mercury is approximately 1516 miles to the nearest mile.
Answer:
1,516 cubic miles
Step-by-step explanation:
Classify the polynomial by degree and number of terms: 3x ^ 4 - 3x ^ 2 - 7x
Cubic Binomial
Quintic Trinomial
Cubic Trinomial
Quartic Trinomial
The polynomial 3x^4 - 3x^2 - 7x is classified as a Cubic Trinomial.
The polynomial 3x^4 - 3x^2 - 7x can be classified as a Cubic Trinomial.
Here's the breakdown of the classification:
Degree: The highest power of the variable x is 4, so the degree of the polynomial is 4. Since the degree is 4, the polynomial is not cubic (which would have a degree of 3) or quintic (which would have a degree of 5).
Number of terms: The polynomial consists of three terms: 3x^4, -3x^2, and -7x. A polynomial with three terms is called a trinomial.
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Answer:Quartic trinomial
Step-by-step explanation:
Don't listen to the other guy, I put cubic and I got the answer wrong thanks to the other guy.
What 2 operations are needed to solve 2x -4 =16
A formula for calculating A, the area of trapezoid, is A = 1/2 h ( b + b ), where h is height of the trapezoid, and b1 and b2 are the lengths of the parallel sides. What is A when h=4 centimeters, b1 = 10 centimeters, and b2 = 5 centimeters ? A. 35 cm 2 B. 30 cm 2 C. 25 cm 2 D. 45 cm 2 ?
The area of the trapezium is 30 square centimeters at the values of h = 4 cm, b = 10 cm, and b' = 5 cm.
We can use the formula for the area of a trapezoid:
A = 1/2 * h * (b + b')
Substituting the given values, we get:
A = 1/2 * 4 cm * (10 cm + 5 cm)
Simplifying the expression inside the parentheses:
A = 1/2 * 4 cm * 15 cm
Multiplying:
A = 30 cm²
Therefore, when h = 4 cm, b = 10 cm, and b' = 5 cm, the area of the trapezoid is 30 square centimeters.
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A quadratic function has a vertex at (3, -10) and passes through the point (0, 8). Which of the following equations best represents the function? O y = 2(x+3)² +8 O y = 2(x+3)² – 10 Oy=(x-3)²-10 O y = 2(x-3)² – 10
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)