Answer:
86
Step-by-step explanation:
The pattern follows this rule:
Every time, the difference between current term and the succeeding term is 0.5 more than that of the current term and preceding term.
The difference between the current term and the preceding term is:
89.5 - 92.5 = 3
Hence, the next term of the sequence should be 3.5 less than the current term.
Hence, the next term is 89.5 - 3.5 = 86.
what kind of problems need two operations
Identify any zeros of y=x^2+4x+5.
A. There are no zeros.
B. (5,0),(4,0)
C. (-1,0),(-3,0)
D. (0,0)
The given quadratic equation y=x^2+4x+5 has no real solutions because the discriminant is negative. Therefore, there are no zeros for this equation, making option A (There are no zeros) the correct choice.
Explanation:The question asks to identify any zeros of the quadratic equation [tex]y=x^2+4x+5.[/tex]To find the zeros, we need to set the equation equal to zero and solve for x. This is typically done using the quadratic formula, which is √x=(-b±√(b^2-4ac))/(2a), where a=1, b=4, and c=5 in our equation.
Substituting these values into the quadratic formula gives: x=(-4±√((4)^2-4*1*5))/(2*1) = (-4±√(16-20))/2 = (-4±√(-4))/2. Since the value under the square root sign (the discriminant) is negative, this equation has no real solutions. Thus, there are no zeros for the given quadratic equation, making option A the correct choice.
what is 5/7-(-1/7) as a fraction?
The value of 5/7-(-1/7) is 6/7.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
5/7-(-1/7)
Now, solving the fraction
= 5/7-(-1/7)
= 5/7 + 1/7
= 6/7
Hence, the value is 6/7.
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How to find the distance AB ? A(0,1) B(2,-3)
Hey there!!
Distance formula :
[tex]\sqrt{(y2-y1)^{2} + (x2-x1)^{2} }[/tex]
Coordinates given :
( 0,1 ) and ( 2,-3 )
( y2 = -3 ; y1 = 1 ) ( x2 = 2 ; x1 = 0 )
Plugging in the values :
... [tex]\sqrt{(-3-1)^{2}+(2-0)^{2} }[/tex]
... [tex]\sqrt{(-4)^{2}+(2)^{2} }[/tex]
... [tex]\sqrt{16+4}[/tex]
... [tex]\sqrt{20}[/tex]
... [tex]\sqrt{5}[/tex]×[tex]\sqrt{4}[/tex]
... 2[tex]\sqrt{5}[/tex] units is the distance.
Hope my answer helps!!
Natalie and her friends decided to rent 4 lanes at regular cost for a party. Ten people need to rent shoes, and 4 people are members. What is the total cost for the party?
I’ve had this question back when i was in school.
You have to calculate at regular price.
4 x 9.75 = 39
Subtraction time. 10 people are renting, 4 are members
10 - 4 = 6
6 that are nonmembers. 4 members
6 x 3.95 = 23.70
4 x 2.95 = 11.80
Add all those up.
39 + 11.80 + 23.70 = 50.80 + 23.70 = 74.50
Answer: $74.50 :)
How do I suppose to solve this question?
Please help :)..............
The 2 points closest to the line is (4,12) and (20, 36)
The slope is the change in Y over the change in x:
Slope = (36-12) / (20-4)
Slope = 24 / 16
Slope = 1.5
So now you have y = 1.5x
To find the equation use the formula (y-y1) = m*(x-x1)
y-12 = 1.5(x-4)
Simplify the right side:
y-12 = 1.5x - 6
Add 12 to each side:
y = 1.5x +6
The answer is the 2nd one.
18+(-12)+5 add integers
The answer to this question is 11.
Solve the Following Equation
2.8=2y
1.y=1.4
2.y=1/2
3y=2.8
4.y=0.6
Solve the following Equation
-3=x/5
1.x=-9/4
2.x=-15
3.x=-3/5
4.x=15
Answer:
2.8 = 2y
1. y= 1.4
Answer:
-3 = x/5
x= -15
Explanation:
To find the variable use the opposite function so if its multiplication find x by dividing and vice versa for division
Mr. Sloan said that his car was worth $30,000 when he first purchased it however over the last three years it has decreased in value $5400 what integer represents the average decrease in value per year?
Answer:
Average decrease in car's value per year = 1800$
Explanation:
The worth of car bought by Mr. Solan = 30000$
Reduction of car's price = 5400$
Number of years considered for measuring reduction of car's price = 3 years.
Average of values = Total of the values/ Number of values.
Average reduction per year = Total reduction/ Number of years.
= 5400/3 = 1800$
So average decrease in car's value per year = 1800$
What is the least common multiple of 7 and 4?
7 x 4 = 28
The least common multiple of 7 and 4 = 28
The answer is 28. I have to type this because it wont let me simply answer your question.
Nancy biked 2.65 miles in the morning and 3.19 miles in the afternoon. What total distance did she bike?
The answer is 5.84
2.65
3.19
+------
5.84
Step by Step:
2.65 + 3.19 = Answer
Anwer:
A = 5.84 Miles
Comments:
N/A
Given that the product of 22 integers is equal to 1, prove that their sum is not equal to 0.
1. If the product of these integers is to be 1, then all of them must be either 1 or -1.
2. Since the product is positive (+1), it must be that there are an *even* number of negative ones (-1), if any.
3. If the sum were 0 it would mean that the number of +1's must equal the number of -1's. So that means there would have to be exactly 22/2=11 of each.
4. But if there were 11 of each, that means the number of -1's would be *odd* and there's no way the product could be +1 (as stated in 2 above).
Hence, the sum is never 0, if the product of 22 integers is equal +1.
Fun problem.
We have a positive product, so no zero factors.
We have a positive product, so an even number of negative factors.
We have a product of 1, so all the integers must be either +1 or -1.
If we have 2n factors of -1 we have 22-2n factors of 1 so a sum of
[tex]s = (-1)2n + (1)(22-2n) = 22-4n[/tex]
For that to be zero we need
[tex]0 = 22-4n[/tex]
[tex]n = 22/4 = 11/2[/tex]
That's not an integer; we've shown there's no even number of -1s that will make the sum zero, and since there must be an even number of -1s, the sum cannot equal zero.
how many times does 78 go into 171
Hello!
You simply divide 78 by 171.
78÷171= 0.45614035
Rounded: 0.46
78 goes into 171 two times. This is because all you have to do is divide 171 and 78 and get 2.192307692. 78 goes into 171 two whole times. Hope this helps you.
Tom weighs 168.5 pounds. his 2 year old son, nickolhas, weighs 33.7 pounds. How many times as much as nickolhas does Tom weigh?
He weighs 5 times more
helpppp :( 3(x-1) = 2x+9
x equals 12 because
3x-3= 2x+9
x=12
3(x-1) = 2x+9 Remove the Brackets on the left
3x - 3 = 2x + 9 Add 3 to both sides
3x = 2x + 9 + 3 Collect like terms
3x = 2x + 12 Subtract 2x from both sides.
3x - 2x = 2x-2x + 12
x = 12
(1/x-4)(1/x-4)(1/x-4)
can you show me the work please. I looked up the answer online the answer is 1/(x-4)^3 but why is it that? like idk the steps for it
you are multiplying 3 algebraic fractions together
[tex]\frac{1}{x-4}[/tex] × [tex]\frac{1}{x-4}[/tex] x [tex]\frac{1}{x-4}[/tex]
multiply the numerators together, that is 1 × 1 × 1 = 1
multiply the denominators together, that is
(x - 4 ) × (x - 4 ) × (x - 4 ) = (x - 4)³
thus the product of the multiplication is
[tex]\frac{1}{(x-4)^{3} }[/tex]
What 58000000 in scientific notation
Hi there,
58,000,000 in scientific notation is 5.8 x 10^7
this is because there are a least 7 zeros.
Hope this is correct :)
Have a great day
5.8 x [tex]10^{7}[/tex] is the answer.
which equation has no solution?
a. 5m-6=5m+7-m
b. 3w+4-w=5w-2(w-2)
c. 7y+9=7y-6
d. 4z+8=-4z-2
The equation which has no solution is:
Option: C
c) [tex]7y+9=7y-6[/tex]
Step-by-step explanation:The equation is said to have a no solution if we get a false identity on solving the equation.
a)
[tex]5m-6=5m+7-m[/tex]
On combining the like terms in the right hand side of the equation we have:
[tex]5m-6=5m-m+7\\\\5m-6=4m+7\\\\5m-4m=7+6\\\\m=13[/tex]
Hence, we get a unique solution to the equation.
b)
[tex]3w+4-w=5w-2(2w-2)[/tex]
on using the distributive property in the right hand side of the equation we have:
[tex]3w+4-w=5w-2\times w-2\times (-2)\\\\3w-w+4=5w-2w+4\\\\2w+4=3w+4\\\\3w-2w=4-4\\\\w=0[/tex]
Again we get a unique solution to the equation.
c)
[tex]7y+9=7y-6[/tex]
on subtracting 7y from both the sides of the equation we have:
[tex]7y-7y-6=9\\\\-6=9[/tex]
which is a false identity.
Hence, the equation has no solution.
d)
[tex]4z+8=-4z-2\\\\i.e.\\\\4z+4z=-2-8\\\\8z=-10\\\\z=\dfrac{-10}{8}\\\\z=\dfrac{-5}{4}[/tex]
This equation has a unique solution.
Martin is $300 in debt he needs to get the depth down to no more than $100 within the next 8 months if he pays the same amount each month what is the minimum he must pay off each month to manage this
M has to pay at least $200 against his debt over the 8 months. If he is to pay every month the same amount, he must pay (at least) 200/8 = $25 per month to meet his goal
If a car averages 23.2 miles per gallon of gasoline, how far can it go on 15.25 gallons?
The car goes 23.2 miles every gallon, so with 15 gallons (15 * 23.2 = 348) it can go 348 miles. With the extra .25 that the car has, it can go 0.25 * 23.2 = 5.8 miles. 348 miles plus the 5.8 miles gets you 353.8 miles on 15.25 gallons.
A car that averages 23.2 miles per gallon can travel approximately 353.8 miles using 15.25 gallons of gasoline.
If a car averages 23.2 miles per gallon of gasoline, we can calculate the distance it can travel on 15.25 gallons by multiplying the car's fuel efficiency by the amount of gasoline.
To find the distance:
Multiply the car's average miles per gallon (MPG) by the number of gallons of gasoline.
Distance = 23.2 MPG * 15.25 gallons
Distance = 353.8 miles
Therefore car that averages 23.2 miles per gallon can go approximately 353.8 miles on 15.25 gallons of gasoline.
omar runs 12 miles in 104 minutes. how many miles does he run per minute?
Omar runs about 0.12 miles per minute.
To find this answer, you simply divide both 104 and 12, by 104. In doing so, you'll get 0.115... miles per 1 minute. Rounding up, you'll get 0.12 miles per minute.
I hope this helps!
Solve for r.
35r−21<−35r+19
70 r − 21 < 19
70r<40
r=4/7
Answer:
r< 4/7
Step-by-step explanation:
find the x and y intercept of the graph of 2(y+0.5)=3.5x+2y
Final answer:
The x-intercept of the graph 2(y+0.5) = 3.5x + 2y is 2/7, and the y-intercept is 0.5.
Explanation:
To find the x and y intercepts of the graph of the equation 2(y+0.5) = 3.5x + 2y, we first simplify the equation. Start by distributing the 2 on the left side:
2y + 1 = 3.5x + 2y. Next, subtract 2y from both sides to get:
1 = 3.5x. Now, to find the x-intercept, set y to zero and solve for x:
x-intercept: y = 0
1 = 3.5x
x = 1 / 3.5
x = 2/7
To find the y-intercept, set x to zero and solve for y:
y-intercept: x = 0
1 = 2y
y = 1 / 2
y = 0.5
The x-intercept is 2/7, and the y-intercept is 0.5.
Explain why the point (0,-5) is not located in quadrant IV
The point (0,-5) is not located in Quadrant IV because it has a negative y-coordinate.
Explanation:The point (0,-5) is not located in Quadrant IV because Quadrant IV is the bottom-right quadrant of the coordinate plane, where both the x-coordinate and the y-coordinate are positive. In Quadrant IV, the x-coordinate is positive and the y-coordinate is negative. A coordinate point with a negative y-coordinate would be located in Quadrants III or IV.
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If f(x)= 6x+7, determine the value of f(-3)
To evaluate a function at a specific x value simply means to substitute that particular value in place of every occurrence of the variable x.
So, starting from [tex] f(x) = 6x+7 [/tex], we have
[tex] f(-3) = 6\cdot(-3)+7 = -18+7 = -11 [/tex]
Passes through A (1,5) and B (-8,9)
75.602 to nearest tenth
75.6 will be the closest answer
-12=-2v
whats the value of v
6 because -12/-2 would be positive 2
V=6
divide both sides by -2 to get variable v on one side
-12/-2=6
Use the rules of exponents to evaluate or simplify. Write without negative exponents 5 • 7^0 =
5 • 7^0 = 35^0
You would ignore the 0. And Just multiply the 7 and 5 to get 35.
If the power of any number is zero then the a⁰ is equal to 1. Then the expression 5 × 7⁰ is equivalent to 5.
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.
→ 5 × 7⁰
We know that if the power of any number is zero then the a⁰ is equal to 1.
⇒ 5 × 7⁰
⇒ 5 × 1
⇒ 5
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