Answer:
420
Step-by-step explanation:
7 x 10^6 = 7 x 60 = 420
Answer:
7000000
Step-by-step explanation:
10^6 = 1000000
1000000 x 7
11) The owner of The Nut House wants to mix 100 pounds of cashews and almonds for a holiday special.
Cashews sell for $8 per pound and almonds sell for $3 per pound. How many pounds of each type of nut must
he mix to obtain a mixture that will sell for $6.25 per pound?
Answer:
65 pounds of cashews 35 pounds of almonds
Step-by-step explanation:
do you do vla in ohio? I have the same questions you do
How do you do this question?
Answer:
∑ (-1)ⁿ⁺³ 1 / (n^½)
∑ (-1)³ⁿ 1 / (8 + n)
Step-by-step explanation:
If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.
Option A: (-1)²ⁿ is always +1. So an =│an│and both series converge (absolutely convergent).
Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).
Option C: an = 1 / n³ isn't an alternating series. So an =│an│and both series converge (p series with p > 1). This is absolutely convergent.
Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series. bn = 1 / (8 + n), which diverges. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
3)h-6)=2(5-2h) what’s h
Answer:
h=4
Step-by-step explanation:
3h-18=10-4h
-18=10-7h
-28=-7h
-h=-7
h=7
solve the polynomial equation:
x^3-7x^2-x+7=0
show your steps please
Answer:
x = {-1, 1, 7}Step-by-step explanation:
Solving for x
x^3 - 7x^2 - x + 7 = 0(x^3 - x) - (7x^2 - 7) = 0x(x^2 - 1) - 7(x^2 - 1) = 0(x - 7)(x^2 - 1) = 0(x - 7) (x + 1) (x - 1) = 0x - 7 = 0 ⇒ x = 7x + 1 = 0 ⇒ x = -1x - 1 = 0 ⇒ x = 1The solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]
The given polynomial is [tex]x^3 - 7x^2 - x + 7 = 0[/tex]
We can observe that the polynomial has a common factor of (x - 1).
By dividing the polynomial by (x - 1), we can simplify the equation:
[tex](x - 1)(x^2 - 6x - 7) = 0[/tex]
Now we have factored the polynomial equation as a product of two factors, [tex](x - 1)[/tex] and [tex](x^2 - 6x - 7).[/tex]
To find the solutions, we set each factor equal to zero and solve for x.
Setting [tex](x - 1) = 0[/tex], we get [tex]x = 1.[/tex]
Now, let's solve the quadratic factor [tex](x^2 - 6x - 7) = 0[/tex]
Using factoring or the quadratic formula, we find the roots of the quadratic equation:
[tex]x^2 - 6x - 7 = 0[/tex]
[tex](x - 7)(x + 1) = 0[/tex]
Setting each factor equal to zero:
[tex]x=7[/tex] and [tex]x=-1[/tex]
Therefore, the solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]
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5. Find the value of x. (x+16) (4x-5)
Answer:
x = 7
Step-by-step explanation:
Set the equations equal to each other, since the two angles are congruent.
x + 16 = 4x - 5 now solve
21 = 3x
x = 7
Answer:
Step-by-step explanation:
PLEASE HELP 50 PTS
For a function j(x), the difference quotient is 3x2 + 3xh + h2. What is the average rate of change of j(x) over the interval [–1, 6]?
15
21
25
31
Answer:
31 is correct guys
Step-by-step explanation:
Since the data is incomplete, for the given question the required average rate of change is given by 15 + 3h.
Given that,
For a function j(x), the difference quotient is 3x2 + 3xh + h2.
The average rate of change of j(x) over the interval [–1, 6] is to be determined.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is independent while Y is the dependent variable.
Here, the average rate of change = f(6) - f(-1) / (6 + 1)
So,
f(6) = 108 + 18h + h²
f(-1) = 3 - 3h + h²
Now,
average rate of change = [(108 + 18h + h²) - (3 - 3h + h²)]/(7)
= [105 + 21 h ] / 7
= 15 + 3h
Thus, the required average rate of change is given by 15 + 3h.
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Find the value of x.
Answer:
20
Step-by-step explanation:
angles on a straight line
(x+20)+7x
open bracket
8x +20 = 180
collect like terms
8x= 180-20
8x=160x
x=160/8
x =20
I WILL GIVE EXTRA POINTS AND BRAINLIEST HELPPP PLEASE!!!! SHOW ALL WORK!!!
Solve All 4
Answer:
#23 is x+27°=27
2x-17°=-17
#24 is x+23°=23
x+54°=54
#25 is x+79°=79
2x-37°=-37
#26 is 3x+71°=71
5x+37°=37
Step-by-step explanation:
how you ask because when it is like x+55° and 6x+88° that means its going to be a positive number.
but when it is like 5x-78° that means its going to be a negative number.
remember this +=positive and -=negative
hope this helped you out!
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34:10
Which division problem does the model show?
1
1
1
1
1
3
3-3 -9
9
San
Answer:
3 ÷ 1/3 = 9
Step-by-step explanation:
= 3 ÷ 1/3
= 3/3 (3/1) ÷ 1/3
= 9/3 × 3/1
= 9/1
= 9
Lesson 3 Practice Problems Ratios
Answer:
1. 6 to 2 and 9 to 3
2. Any ratio that is not equivalent to 3 to 1. For example, 4 to 11.
Step-by-step explanation:
Bernard a part of a small pizza he started with 11/12 of a pizza but only ate 2/3 of it which is the best estimate of the amount Bernard ate?
Answer:
Bernard ate a little less than Two-thirds of the pizza.
Step-by-step explanation:
i took the test
Answer:
c 2/3
Step-by-step explanation:Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?as u can see it said HOW many did he eat he ate 2/3 of it your welcome friend!
A bacteria population increases exponentially at a rate of r% each day. After
32 days, the population has increased by 309%. Find the value of r.
Answer:
r=4.5% daily
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P=P_o(1+r)^t[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We know after t=32 days, the population has increased by 309%. Being the original population P the 100%, then the population reached 309+100= 409%.
Substitute the given values into the model function:
[tex]409\%P_o=100\%P_o(1+r)^{32}[/tex]
Simplifying:
[tex]4.09=(1+r)^{32}[/tex]
We need to solve for r. Taking the 32nd root:
[tex]\sqrt[32]{4.09}=\sqrt[32]{(1+r)^{32}}[/tex]
Simplifying:
[tex]1+r=\sqrt[32]{4.09}=1.045[/tex]
Solving:
[tex]r=1.045-1\Rightarrow r=0.045[/tex]
r=4.5% daily
The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There was a total of 60 pieces to sell How many pies did the club make?
Answer:
the cooking club made 8 pies
Step-by-step explanation:
first do 60 divided by 5 to find the total number of pies you get 12
then since the cafetria donates four pies and the cooking club makes the rest, you do 12-4=8
There were 11 pies cooked in all by the club to earn money for the basketball game.
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale.
Each Pie cut into four pieces
Since there were 60 pieces of pie
The total number of pies sell at a basketball game = 60/4
The total number of pies sell at a basketball game = 15
Also, given there were four pies donated by Cafeteria
Thus,
Total pie basketball team made = 15 - 4
Total pie basketball team made = 11
Therefore, the Total number of pies made by the club to raise funds for the basketball game is 11.
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How many grams in one dose of medicine?
Answer:
65
Step-by-step explanation:
David car would cover one lap of the Indy 500 in about 90 seconds. Chris’s car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting Point ?
Answer:
36
Step-by-step explanation:
it took David's car 90 seconds and chris's car 54 seconds so that means
90-54=36
The number of seconds would they meet again at the starting point will be 270 seconds.
What is the least common factor (LCM)?The corresponding value integer that can be divided by both is known as the lowest relevant multiple, commonly referred to as the lowest common multiple of pair (or more) numerals a and b.
David's car would cover one lap of the Indy 500 in about 90 seconds. Chris’s car could cover one lap in about 54 seconds.
If both cars left the same starting point at the same time. Then the number of seconds would they meet again at the starting point will be given as,
L.C.M. = 90, 54
L.C.M. = 2 x 3 x 3 x 5, 2 x 3 x 3 x 3
L.C.M. = 2 x 3 x 3 x 3 x 5
L.C.M. = 270 seconds
The number of seconds would they meet again at the starting point will be 270 seconds.
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Fill in the missing term on each line. Simplify any fractions.
8(d + 1) = 8
d + 1 =
Divide both sides by 8
d =
Subtract 1 from both sides
Answer:
8 subtract 1 sides fraction
Answer:
8 subtract 1 sides fraction
Step-by-step explanation:
Simplify the following expression. Write the resulting polynomial in descending order.
–2x(1–3x) + (2x + 3)(3x – 2)
Answer: 4x² + x - 2
Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²
Now let's work on the second part:
Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals
12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:
4x² + x - 2.
please solve 2x+3=x−4
The equation y =0.7x represents the distance Henry hikes in miles over time in hours. The graph
represents the rate that Cark hikes. Determine which hiker is faster. Complete the explanation
Henry’s unit rate is ___ miles per hour. Clark’s unit rate is 1.5 miles per hour . So, ____ is faster.
Answer:
Henry’s unit rate is 0.7 miles per hour. Clark’s unit rate is 1.5 miles per hour . So, Ckark is faster.
Step-by-step explanation:
Distance covered by Henry is represented by y = 0.7x, where x = time (hrs), and y = distance (miles).
Distance covered in 1 hour by Henry would be:
y = 0.7(1) = 0.7 miles per hour
Distance covered by Clark in 1 hour = 1.5 miles per hour
Ckark covers more miles per hour than Henry covers in one hour, therefore, Ckark is faster.
In five towns in the state of Idaho, a new recycling policy started. A sample of 5,000 homes found that 0.56 put out a
recycling bin each week. Using a 95% confidence level, what is the estimate of the population proportion that recycles?
between 55.65% and 56,69%
between 54.97% and 57.03%
between 54.65% and 56.35%
between 55.31% and 56.35%
Which two ratios show a proportional relationship?
A. 2/8 and 6/20
B. 4/6 and 15/20
C. 10/15 and 12/18
D. 15/18 and 20/25
HELP WILL MARK BRAINLIEST
Answer:
a) A = (5, 1), b) A = (1,11)
Step-by-step explanation:
given A is (2,3), question a is represented by a shift of this point 3 units to the right, and 2 units down which means (x,y) → (x +3, y - 2) or T(3,-2)(x,y). (2,3) → (x + 3, y - 2) = (2 + 3, 3 - 2) = (5, 1).
Question b represents a shift of this point one unit to left, and 8 units up which is represented by (x,y) → (x -1 , y + 8) or T(-1,8)(x,y).
(2,3) → (x - 1, y + 8) = (2 - 1 , 3 + 8) = (1, 11).
Karen can walk 2/3 of a mile in 1/5 of an hour. How long will it take her to walk 10 miles
Answer:
3 1/3 mph
Step-by-step explanation
2/3 mile divided by 1/5 hour
To divide by a fraction, MULTIPLY BY THE RECIPROCAL!
This gives 5(2/3) = 10/3 = three & 1/3 mile per hour, or about 3.33 mph.
Find the slope of the line that passes through the pair of points (-1,-9) and (-3,10)
Answer:
-9.5
Step-by-step explanation:
The slope (m) is the ratio of the change in y to the change in x:
m = (y2 -y1)/(x2 -x1)
m = (10-(-9))/(-3-(-1)) = 19/-2
m = -9.5
The slope of that line is -9.5.
__
The graph shows the line through those points, written in point-slope form.
Question 6
Which number has the lowest value?
A 0.30 +0.54 +0.13
B 0.10 +0.66 +0.25
C 0.23 +0.23 +0.45
0.30+ 0.41 +0.23
Answer: C.
Step-by-step explanation: You add all the numbers in A, B, C. Then look at which one has the lowest value.
A. is .97
B. is 1.01
C. . is .91
D. is .94
So C. has the lowest value
The number which has the lowest value is 0.23 +0.23 +0.45, the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
A 0.30 +0.54 +0.13
B 0.10 +0.66 +0.25
C 0.23 +0.23 +0.45
0.30+ 0.41 +0.23
Now
A 0.30 +0.54 +0.13=0.97
B 0.10 +0.66 +0.25=1.01
C 0.23 +0.23 +0.45=0.91
0.30+ 0.41 +0.23=0.94
Therefore, the algebra with lowest value will be 0.23 +0.23 +0.45
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Which expression is equivalent to Negative 6 (negative two-thirds + 2 x)?
Answer:
hi answers b or a
Step-by-step explanation:
need a lil help.. EDGE2020
Answer:
2nd option
Step-by-step explanation:
2 parts ginger ale to 3 parts raspberry juice
A student’s score on an exam is an integer between 0 and 100. A score of 90 to 100 is an A, 80 to 89 is a B, 70 to 79 is a C, 60 to 69 is a D, and below 60 is a failing grade of F. It is known that scores between 51 and 100 are equally likely and scores less than 50 cannot occur. Find the following probabilities: (a) Find the probability the student gets an A? (b) Find the probability that student fails the exam. (c) Find the probability that the student who is known not to have a C grade, has a B grade. (d) Find the probability that a student who is known to have passed the course, has a B grade.
Answer:
A. 0.22
B. 0.18
C. 0.25
D. 0.244
Step-by-step explanation:
S = {51 to 100} = 50
The sample space S contains values from 51 to 100 which is a total of 50 different values.
A.
Probability of A (lies between the values of 90 to 100 = 11).
11/50 = 0.22
B.
For a student to fail the course, his course has to be less than 60 = from 51 to 59. A total of 9 values.
9/50 = 0.18
C.
For student to get c, (70 to 79) a total of 10 values: 10/50 = 0.20
P(student did not get C) = 1-0.20 = 0.80
To get B, ( 80 to 89)
10/50 = 0.20
Probability that a student who is known not to have a c grade has a b grade = 0.20/0.80 = 0.25
D.
Probability of passing lies between 60 to 100 = 41 scores
41/50 = 0.82
Probability of student who passed having a B = 0.20/0.82 = 0.244
What is the perimeter of the rectangle?
5 feet
6 feet
12 feet
X 36 feet
Answer: I think the answer is b
Step-by-step explanation:
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a
quadratic function of the rectangle's width, A(w). What does the second coordinate of the vertex of the quadratic function.
A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area
Answer:
Opction b)
The maximum area that can be enclosed by the fencing
Step-by-step explanation:
I took the test
The solution is, A(w), represents the maximum area that can be enclosed by the fencing.
Here, we have,
If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...
A(w) = w(150 -w) = -(w² -150w)
A(w) = -(w² -150w +75²) +75²
A(w) = -(w -75)² +5625
In this vertex form, the vertex is (75, 5625).
The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.
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