Answer:
40 meters
Step-by-step explanation:
On a certain hot summer's day, 647 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $1213.50. How many children and how many adults swam at the public pool that day?
Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x. (1 point) −x − 10 > 14 + 2x −3x −10 > 14
Answer:
Step-by-step explanation:
Given the inequality −x − 10 > 14 + 2x
This are the steps to solve the expression for x;
−x − 10 > 14 + 2x
Step 1: Add to to both sides
−x − 10+10 > 14 + 2x+10
-x > 24+2x
subtract 2x from both sides
-x-2x >24+2x-2x
-3x>24
Divide both sides by 3;
-3x/-3 < 24/-3
x < -8 (Note the change in inequality sign. It was changed because we divided through with a negative value)
The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model
D = 0.032t2 + 0.21t + 5.6, 0 ≤ t ≤ 8
where t represents the year, with t = 0 corresponding to 2000.†
Step-by-step explanation:
Given the equation that modeled the total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by;
D = 0.032t^2 + 0.21t + 5.6, 0 ≤ t ≤ 8
We are to find the total public debt with the time interval;
when t = 0;
D = 0.032(0)^2 + 0.21(0) + 5.6
D = 5.6 trillion dollars
when t = 1;
D = 0.032(1)^2 + 0.21(1) + 5.6
D = 0.032+0.21+5.6
D = 5.842 trillion dollars
when t = 2;
D = 0.032(2)^2 + 0.21(2) + 5.6
D = 0.128+0.42+5.6
D = 6.148 trillion dollars
when t = 3;
D = 0.032(3)^2 + 0.21(3) + 5.6
D = 0.288+0.63+5.6
D = 6.518 trillion dollars
when t = 4;
D = 0.032(4)^2 + 0.21(4) + 5.6
D = 0.512+0.84+5.6
D = 6.952 trillion dollars
when t = 5;
D = 0.032(5)^2 + 0.21(5) + 5.6
D = 0.8+1.05+5.6
D = 7.45 trillion dollars
when t = 6;
D = 0.032(6)^2 + 0.21(6) + 5.6
D = 1.152+1.26+5.6
D = 8.012 trillion dollars
when t = 7;
D = 0.032(7)^2 + 0.21(7) + 5.6
D = 1.568+1.47+5.6
D = 8.638 trillion dollars
when t = 8;
D = 0.032(8)^2 + 0.21(8) + 5.6
D = 0.032(64)+1.68+5.6
D = 2.048+1.68+5.6
D = 9.328 trillion dollars
From the values gotten, we can see that the total public debt reached or surpassed 7 trillion dollars in 2005
To get the public debt in 2017, we can simply substitute t = 17 into the expression D = 0.032t2 + 0.21t + 5.6
D = 0.032(17)^2 + 0.21(17) + 5.6
D = 0.032(289)+3.57+5.6
D = 9.248+3.57+5.6
D(17) = 18.418 trillion dollars
Find the Lcm of 9,12 and 24
Answer:
144
Step-by-step explanation:
Determine the remaining sides and angles of the triangle ABC
what is the measure of angle B
what is the length of side a
what is the length of side b
Answer:
The measure of angle B is 41.5°
The length of side a is 30.6 feet ⇒ to the nearest tenth
The length of side b is 32.9 feet ⇒ to the nearest tenth
Step-by-step explanation:
The sum of the measures of the interior angles in a triangle is 180°In the given Δ ABC
∵ m∠A = 38.1°
∵ m∠C = 100.4°
→ By using the fact above
∵ m∠A + m∠B + m∠C = 180°
∴ 38.1 + m∠B + 100.4 = 180
→ Add the like terms in the left side
∴ 138.5 + m∠B = 180
→ Subtract 138.5 from both sides
∴ m∠B = 41.5°
∴ The measure of angle B is 41.5°
∵ a is the opposite side of ∠A
∵ b is the opposite side of ∠B
∵ c is the opposite side of ∠C
→ By using the sine rule
∴ [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4
→ Substitute them in the sine rule above
∴ [tex]\frac{a}{sin38.1}[/tex] = [tex]\frac{b}{sin41.5}[/tex] = [tex]\frac{48.4}{sin100.4}[/tex]
→ By using cross multiplication between the 1st and the 3rd fractions
∴ a × sin 100.4 = 48.8 × sin 38.1
→ Divide both sides by sin 100.4
∴ a = 30.61429861
∴ The length of side a is 30.6 feet ⇒ to the nearest tenth
→ By using cross multiplication between the 2nd and the 3rd fractions
∴ b × sin 100.4 = 48.8 × sin 41.5
→ Divide both sides by sin 100.4
∴ b = 32.87596206
∴ The length of side b is 32.9 feet ⇒ to the nearest tenth
6x⁴+5x³-10x+4 how to factorize this polynomial
Yes, this is polynomial, and your answer will be:
(2x − 1) (3x − 2) (x^2 + 2x + 2)
Edit:
Factor 6x^4 + 5x^3 − 10x + 4 using the rational roots test.
(2x − 1) (3x^3 + 4x^2 + 2x − 4)
Factor 3x^3 + 4x^2 + 2x − 4 using the rational roots test.
(2x − 1) (3x − 2) (x2 + 2x + 2)
The factorized form of the given polynomial is (2x − 1)(3x − 2)(x² + 2x + 2).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomial is given in the question, as follows:
6x⁴ + 5x³ − 10x + 4
We have to factor using the rational roots test,
⇒ (2x − 1)(3x³ + 4x² + 2x − 4)
Similarly, factor 3x³ + 4x² + 2x − 4 operates the rational roots test.
⇒ (2x − 1)(3x − 2)(x² + 2x + 2)
Thus, the factorized form is (2x − 1)(3x − 2)(x² + 2x + 2).
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can somone help me pls ?
[tex]\huge\mathtt{Hello!}[/tex]
[tex](6x - 23) = (4x + 9)[/tex]
[tex]6x -4x = 9 + 23[/tex]
[tex]2x = 32[/tex]
[tex]x = 16[/tex]
It is because the sides are equal, so the angles opposite to them also are equal.
Have a nice day!
A parking lot has seventy-six parking spaces numbered from 1 to 76. There are no cars in the parking lot when Jillian pulls in and randomly parks. What is the probability that the number on the parking space where she parks is greater than or equal to 31?
The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 or 0.5921 .
Given, Jillian parks her car randomly in a parking slot of 76 spaces.
Total number of Parking spots : 76
Number of parking spots above number 31 : 76 - 31 = 45
Probability = Successful events/ Total events
Probability = 45/76
The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 .
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WHat is the answer to this (1−5q)+(2.5q+8)−(0.5q+6)
Answer:
-3q+3
Step-by-step explanation:
Answer:
−3q+3
Step-by-step explanation:
Given that p(n)=4n2+4n−6 and q(n)=n2−5n+8, find (p−q)(3).
a. 26
b. 38
c. 40
d. 42
Answer:
(p-q) (3) = 40 The anwser is c
Step-by-step explanation:
If p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
p(n)=4n²+4n−6 and q(n)=n²−5n+8
Substitute the given values and apply the arithmetic operation as,
(p−q) = (4n²+4n−6) - (n²−5n+8)
(p−q) =3n²-n+2
Put n = 3 for the given conditions,
(p−q)(3) =3(3)² - 3 +2
(p−q)(3) =27-3+2
(p−q)(3) =29-3
(p−q)(3) =26
Thus, if p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.
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George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?
Answer:
7.5 x 12 = 90 to find out how many boxes
Then take the boxes x 1.3 = 117 pounds
Answer:
Déjà Vu
Step-by-step explanation:
i ve been reading this test before
Order the following integers from least to greatest -25,-41,36,28,and16
solve 1,000x10 hint: use a strategy
Answer:
10000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left the one from the number 10 and allso the ones from 1000
PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number}
Answer:
Since this graph is continuing, y must be any real number. So, d.
A calculator is able to generate random numbers from the interval (0, 1). We need five random numbers from (0, 2/5). Using this calculator, how many independent random numbers should we generate, on average, to find the five numbers needed?
Answer:
12.5
Step-by-step explanation:
Using the negative binomial method, we can solve this question. Try defining the variable with parameters (r,p) with success probability p.
Hope this helped!
Classify the following triangle
Answer: Right , Scalene
Step-by-step explanation: the picture shows that it is a right triangle. It also has side lengths of 8.66, 7, and 5.1 which are all different making it a scalene triangle.
Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. On the same exam Johnny's friend Jessie answered 4 times more questions correct than incorrect. Who got a higher percentage on the test. Johnny or Jessie?
Answer:
Jessie
Step-by-step explanation:
Jessie answered 4 more times correct that Johnny so she will get a better grade.
Use substitution.
2x +3y = -5
4x+3y= 17
Answer:
Step-by-step explanation:
-2x -3y = 5
4x + 3y = 17
2x = 22
x = 11
4(2) + 3y = 17
8 + 3y = 17
3y = 9
y = 3
(11,3)
Answer:
x=11, y=-9
Step-by-step explanation:
Ra'Shaela is going to the store to buy candy. She has $3.45 in dimes and
quarters in her pocket. Write an equation to represent the number of dimes
and quarters that Ra'Shaela could have in her pockets
Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time
Answer: 109.5
Step-by-step explanation: EACH year for three years would be 1095 if you multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped
Can you guys help me quick please Becuase it’s due today please answer all my question that I posted
Answer:
y = x + 3
Step-by-step explanation:
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
And so on
Is ABC a right angle? Why or why not?
Answer:
3.Yes, because triangle ABC has a 90 degree angle.
4.No, because triangle XYZ doesn’t have a 90 degree angle.
HEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLPPPPPPPPPPPPPPPPPPPP
Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke’s sister will repay?
Answer:70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
To the nearest millimeter, a cell phone is 74 mm long and 42 mm wide. What is the ratio of the width to the length?
Answer:
You will want to compare the width to the length, or 42 mm/ 74mm ...the units cancel, which is what you want for a ratio...and you usually want to simplify your ratio
Hope that helps
the picture is the answer
Answer:
4. 3
The answer is the last option, all you do is reduce
Step-by-step explanation:
rise over run = rise/run = 6/2
reduce,
6/2
3/1
3x
A video game has the following formula:
For every 1,701 in attack power, you gain 3 levels.
You get one bonus star per every 33 levels completed.
If a player has an attack power of 0.04 million, how many bonus stars could they get?
Round to a whole number.
Answer:
2 bonus stars
Step-by-step explanation:
0.04 million= 40,000
40000/1701= 23.5
23.5(3)= 70.5
70.5/33= 2 stars
Find the value of z such that 0.02 of the area lies to the right of z. Round your answer to two decimal places.
The value of z-score such that 0.02 of the area lies to the right of z would be 2.06.
Given that,
0.02 of the area lies to the right of z.
Now, for the value of z such that 0.02 lies to the right of z, we can make use of the standard normal distribution table.
Since to determine the value of z such that 0.02 of the area lies to the right, we need to find the z-score associated with the cumulative probability of (1 - 0.02) = 0.98
Now for the value of 0.98 in the standard normal distribution table, we find that the corresponding z-score is 2.06.
Therefore, the value of z, rounded to two decimal places, is 2.06.
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The value of z such that 0.02 of the area lies to the right of z is approximately 2.05 (rounded to two decimal places).
To find the value of z such that 0.02 of the area lies to the right of z, we need to determine the z-score associated with that probability.
Since we're looking for the area to the right of z, we can use the standard normal distribution table or a statistical calculator to find the corresponding z-score.
By searching the table or using a calculator, we can find that the z-score associated with a right-tail probability of 0.02 is approximately 2.05.
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Sombody tell me what the y intercept is
Answer:
1
Step-by-step explanation:
The line is crossing over the y-axis on the 1.
Answer:
(0,1)
Step-by-step explanation:
The y-intercept is always the point where the line crosses the y-axis.
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
x = 6
Step-by-step explanation:
first find the angle
51 + 72 + x = 180
123 + x = 180
x = 180 - 123
x = 57
so the third angle is 57
now find the value of x in the given expression
8x + 9 = 57
8x = 57 - 9
8x = 48
x = 48/8
x = 6
now check whether the value of x is correct or not by evaluating the value of x in expression
8x + 9 = 57
8(6) + 9 = 57
48 + 9 = 57
57 = 57
so its true
Method 2
51 + 72 + (8x + 9) = 180
123 + 8x + 9 = 180
132 + 8x = 180
8x = 180-132
8x = 48
x = 48/8
x = 6
now again you can check by evaluating the value of x in the above expression
The original price of a desk was $80. And its price was marked
down to $70 during the holiday. What was the percentage of
discount for the desk during the holiday?
Answer:
Required Answer:-Amount of discount =80-70=10$
percentage:-
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{10}{80}}\times 100 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {10}{4}}5 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {50}{4}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 12.5\% [/tex]
Answer: the answer is 12.5
Step-by-step explanation: