Answer:
1668
Step-by-step explanation:
8(8)= 64
64+4=68
1,600+68= 1,668
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
An on-line electronics store must sell at least $5000 worth of computers and printers per day. Each printer costs $350 and each computer costs $750. The store can ship a maximum of 20 items per day. Which system of inequalities models correctly the number of computers, c, and number printers, p, the store could sell per day?
"An on-line electronics store must sell at least $5000 worth of computers and printers per day"
The bold faced words tell us greater than or equal to 5000
"The store can ship a maximum of 20 items per day"
The bold faced words tell us less than or equal to 20
We can automatically eliminate A and B since they don't have EQUAL sign in them. From C and D, we choose D because it correctly attaches the price of printers and computers to the respective variables (printers is p & computers is q). Choice C does this wrong!
ANSWER: D
Which statement is true?Which statement is true? The value of money that you save increases over time the value of money remains constant over time the present value of money is greater than its future value
The value of money that you save increases over time is the right answer
The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise. Which statement best describes the relationship between heart rate and time during exercise? The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes. The heart rate decreases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes. The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes. The heart rate remains constant for 6 minutes, increases for 19 minutes, and then gradually decreases for 5 minutes.
We know that
when we start exercise our hear beats starts increasing gradually
because blood flowing rate becomes higher
and it keeps increasing upto a certain limit
because for normal human beings maximum heart rate is 135 beats per minute
and it remains constant there for few minutes
and as we slow down slowly
It will start decreasing gradually and then becomes normal
we can see the graph
so,
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes..........Answer
Answer:The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes. Positive
Step-by-step explanation:
Paulo took out a $900 loan using an 12% simple interest rate for a period of 9 months. What the effective annual interest rate for the loan? Give your answer as a percentage to the nearest tenth of a percent.
Answer:
12.68%
Step-by-step explanation:
To calculate effective annual interest rate we need to use the following formula:
[tex]i=(1+\frac{r}{m})^m-1[/tex]
Where, 'i' is the effective annual interest rate
'r' is the annual rate of interest
'm' is the frequency of compounding.
When there is continuous compounding the effective annual rate uses the following formula:
[tex]i=e^r-1[/tex]
In our case we would are assume that there is continuous compounding since no information regarding the frequency of compounding is given:
Plugging r=12%=0.12, we get:
[tex]i=e^{0.12}-1[/tex]
[tex]i=1.1274-1=0.1274[/tex]
[tex]i=0.1274[/tex]
[tex]i=12.74\%[/tex]
Therefore, the effective annual interest rate is 12.74%.
Answer:
13.2
Step-by-step explanation:
LOTS OF POINTS!!!! URGENT!!!!
Describe the continuity or discontinuity of the graphed function.
Answer:
There are two discontinuities, one in the point (-2,2) and another on (-1,3).
Step-by-step explanation:
The discontinuity in (-2,2) is referred to as a removable discontinuity because this point is defined elsewhere.
The discontinuity in (-1,3) is called a jump discontinuity because it seems to "jump" from one point and continue at another.
What would be the correct answer for my question, 25 divided by 715. I need an answer as soon as possible
Leticia Cox is a biochemist. She is testing two different types of drugs that induce cell growth. She has selected two cultures of 1000 cells each. To culture A, she administers a drug that raises the number of cells by 200 each day and every day thereafter. Culture B gets a drug that increases cell growth by 8% each day and every day thereafter. Assuming no cells die, how many cells will have grown in each culture by the end of the seventh day? a. Culture A: 1400 cells Culture B: 713 cells c. Culture A: 713 cells Culture B: 1400 cells b. Culture A: 800 cells Culture B: 517 cells d. Culture A: 517 cells Culture B: 800 cells
1. Culture A.
Since the number of cells increases by 200 each day and every day thereafter, then after seven days the number of cells will increase by
[tex]200\cdot 7=1,400.[/tex]
2. Culture B.
The initial number of cells was 1,000. Since the number of cells increases 8% each day and every day thereafter, then after seven days the number of cells will be
[tex]1,000\cdot (1.08)^7\approx 1,713.[/tex]
The number of cells that have grown by the end of the seventh day is
1,713-1,000=713.
Answer: option A -- Culture A: 1400 cells Culture B: 713 cells
Answer:
A is correct: Culture A: 1400 cells
Culture B: 713 cells
Step-by-step explanation:
Correct on Edge 2020 Quiz
To determine when the coin will be worth $150, you can substitute 150 for y and solve for t. What value do you get for t when you do that?
Answer:
5.23 years, the time at which the coin has increased in value to $150.
Step-by-step explanation:
Use the exponential function f(t) = 4*2^t.
Substitute $150 for f(t): $150 = 4*2^t.
Simplify this by dividing both sides by 4: $150/4 = 2^t, or $37.50 = 2^t.
Next, solve for the value of t. To do this, take the common log of both sides, obtaining:
log 37.50 = t*log 2. Thus, t = [log 37.50] / [log 2]. Evaluate this using a calculator:
t = 1.57403 / 0.30103 = 5.23 time units. For example, this could be 5.23 years.
Answer:
It will take about 17.7 years, or almost 18 years, for the coin to be worth $150.
Because the initial year was 2016, the coin is predicted to be worth $150 in 2034.
Step-by-step explanation:
At a basketball game, for every basket team A scored, team B scored 4 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is
(A) 1 to 3
(B) 2 to 3
(C) 1 to 4
(D) 4 to 1
On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by the function f(d) = 1.11√d. Part a: determine f(2) and explain what it represents.
Answer:
The value of f(2)≈1.57
The time it takes an object to fall 2 feet is 1.57 seconds.
Step-by-step explanation:
Consider the provided function.
[tex]f(d) = 1.11\sqrt{d}[/tex]
It takes for an object to fall a distance, d, in feet,
We need to determine f(2).
Substitute the value d = 2 in the above function.
[tex]f(2) = 1.11\sqrt{2}[/tex]
[tex]f(2)\approx 1.57[/tex]
The value of f(2)≈1.57
The time it takes an object to fall 2 feet is 1.57 seconds.
I'd appreciate it if anyone could help! :)
Which graph represents the function?
Answer: Upper right corner
=========================================================
How I got that answer:
The line y = x goes through (0,0) and (1,1). You would normally extend this line out as far as you can in both directions. However, the inequality x < -1 says you can only graph this if x is less than -1. We will not graph any part of the graph that is beyond x = -1 to the right. So we only have a small piece of it. The left piece of y = x. There is an open hole at the endpoint.
Similarly, y = -x is only graphed if x >= -1. We have a closed endpoint here. This graph goes through (0,0) and (1,-1). We erase the portion that is to the left of x = -1.
Doing all this leads to the upper right corner choice as our answer. The bottom right corner is close to the answer, but the open and closed endpoints are in the wrong spots.
31 points for the right answer if you DON'T KNOW Skip pass this
Substitute x = 2 into each of the expressions
left: 6* 8 - 2(2) = 48 - 4 = 44
right: 6(5 +2) = 6(7) = 42
44 > 42
Answer
>
Triangle SBA has coordinate S(15,-8), B(-2,21), A(0,0). If the height of the triangle for the corresponding base sb is 8.89 units, then determine the perimeter and area of SBA.
Answer:
Perimeter of triangle = 71.72 unit.
Area of triangle = 149.44 unit²
Explanation:
Distance between (a,b) and (c,d) = [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex].
So we have SB = [tex]\sqrt{(-2-15)^2+(21-(-8))^2}=\sqrt{1130} =33.62[/tex]unit
BA = [tex]\sqrt{(0-(-2))^2+(0-21^2)}=\sqrt{445} =21.10[/tex]unit
AS = [tex]\sqrt{(15-0)^2+(-8-0)}=\sqrt{289} =17[/tex]unit
So perimeter of triangle = 33.62 + 21.10 + 17 = 71.72 unit.
We have SB = Base = 33.62 unit and Perpendicular height = 8.89 units.
Area = 0.5 x Base x Perpendicular height.
= 0.5 x 33.62 x 8.89 = 149.44 unit²
The perimeter of the triangle SBA is approximately 66.91 units and the area is approximately 131.06 square units.
Explanation:To find the perimeter of triangle SBA, we need to find the lengths of the three sides first. We can use the distance formula to calculate the length of each side. Using the coordinates of S(15,-8), B(-2,21), and A(0,0), we find that SB ≈ 29.47 units, BA ≈ 18.19 units, and AS ≈ 19.25 units. The perimeter is the sum of these three lengths, which is approximately 66.91 units.
To find the area of triangle SBA, we can use the formula: area = 1/2 * base * height. The base is the length of SB, which is approximately 29.47 units, and the height is given as 8.89 units. Plugging these values into the formula, we get the area ≈ 131.06 square units.
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Drag a statement or reason to each box to complete this proof.
Answer:
The required answer is shown below:
Step-by-step explanation:
Consider the provided equation.
Statement Reason
1. [tex]5(x+6)=x+38[/tex] Given
2. [tex]\bold{5x+30=x+38}[/tex] Distributive property
3. [tex]5x+30-30=x+38-30[/tex] Subtraction property of equality
4. [tex]\bold{5x=x+8}[/tex] Simplifying
5. [tex]\bold{5x-x=x+8-x}[/tex] Subtraction property of equality
6. [tex]\bold{4x=8}[/tex] Simplifying
7. [tex]\frac{4x}{4}=\frac{8}{4}[/tex] Division property of equality
8. [tex]x=2[/tex] Simplifying
Hence the required answer is shown above.
F (x) = -7x^2 g(x)=-35x^2+5
What transformations change the graph of f(x) to the graph of g(x)?
A. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5 and translated down 5 units.
B. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated down 5 units.
C.The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5
and translated up 5 units.
D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated up 5 units.
Answer:
D
Step-by-step explanation:
hello!!! the correct answer for this problem is D
Answer:
D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated up 5 units.
Step-by-step explanation:
What is the solution to the inequality? -2/3(2x - 1/2) ≤ 1/5x - 1 Express your answer in interval notation.
This is my answer and work, is this right? And how would I put this in interval notation.
-2/3(2x - 1/2) ≤ 1/5x - 1
2x – 1/2 ≥ 1/5x +3/2
2x ≥ 1/5x + 2
9/5x ≥ 2
x ≥ 10/9
ANSWER
[tex]-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1[/tex]
Multiply through by LCM of 15
[tex](15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)[/tex]
[tex] -10(2x-\frac{1}{2})\le 3x-15[/tex]
Expand brackets to obtain,
[tex] -20x+5\le 3x-15[/tex]
Group like terms
[tex] 15+5\le 20x+3x[/tex]
[tex] 20\le 23x[/tex]
[tex] \frac{20}{23}\le x[/tex]
[tex]x\ge \frac{20}{23}[/tex]
In interval form it is written as
[tex] [\frac{20}{23}, \infty)[/tex]
The correct solution to the inequality is x ≥ 20/23, written in interval notation as: [20/23, +Infinity).
Explanation:In this mathematical inequality problem, your steps are correct until you get to -2/3(2x - 1/2) ≤ 1/5x - 1. Thereafter, however, your proceedings seem to be erroneous. Let's correct the steps:
First, distribute -2/3 to both 2x and -1/2 to get -(4/3)x + 1/3 ≤ 1/5x - 1. Second, we'll get rid of the fractions by multiplying the whole inequality by 15 (a common multiple of 3 and 5), resulting in -20x + 5 ≤ 3x - 15. Then, add 20x to both sides to get 5 ≤ 23x - 15. Lastly, add 15 to both sides, so we end up with 20 ≤ 23x, or in simplified form x ≥ 20/23.
So the solution to the inequality is x ≥ 20/23, which in interval notation would be written as: [20/23, +Infinity).
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Use the order of operations to simplify this expression 4 + 0.8 x 1.5 - 3
You would use PEMDAS to solve this:
0.8 x 1.5 = 1.2
4 + 1.2 - 3
5.2 - 3
2.2 is your answer
Answer:
the answer is 2.2
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
Simplify: 12 + 10i +14i
Simplify: 12 + 10i +14i = 12 +24i
answer
B) 12 +24i
24i+12 thats pretty basic though
A group of hikers walks 2 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final destination. What vector describes their hike from their starting position to their final destination? Let 1 unit represent 1 mile.
Answer:
Intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction
Step-by-step explanation:
Required vector is consists of the two components
vx= 2+4=6 units and vy= 1 unit and vx ⊥ vy
We will use Pythagorian theorem to find intensity of the vector v
v∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 units
The angle ∡α between vector and east direction we wil find with tanα
tanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°
Good luck!!!
Answer:
The vector that describes their hike from their starting position to their final destination is < 6, 1 >
PLEASE HELP WILL GIVE BRAINLIEST, THANKS, AND RATE 5 STARS!!!
First answer, this is because if you were to substitute the x and y variables which are the height and days the plant grew, then the 1st answer would be the answer
A mouse scurries across your kitchen floor at 2.0 feet per second. How many miles can the mouse travel in 1.5 hours (rounded to the nearest tenth)?
Answer: The mouse can travel 2.045 miles .
Step-by-step explanation:
Speed of mouse = 2.0 feet per second.
Time traveled by mouse = 1.5 hours = 1.5 × 3600 seconds [ as 1 hour = 3600 seconds]
Distance traveled by mouse in 1.5 hours = speed × time
= 2.0 × 1.5 × 3600 = 10800 feet.
We know that
1 mile = 5280 feet
then 1 foot = 1/5280 miles
Distance in miles = [tex]10800\times \frac{1}{5280} miles=2.045miles[/tex]
Given
A mouse scurries across your kitchen floor at 2.0 feet per second.
Find out the mouse travel in 1.5 hours.
To proof
FORMULA
Distance = speed × time
[tex]1foot = \frac{1}{5280} miles[/tex]
Convert feet per second into miles per second
[tex]= \frac{2.0}{5280}[/tex]
As given in the question
Time = 1.5 hours
1 hours = 3600 second
Time convert in the second
Time = 1.5 × 3600 second
= 5400 second
put all these value in the above formula
we get
[tex]Distance= \frac{2.0\times 1.5 \times 3600}{5280}[/tex]
[tex]Distance= \frac{10800}{5280}[/tex]
= 2.04 (approx) miles
= 2.0 miles
Hence proved
below is the graph of f(x)= ln (x) how would you describe the graph of g (x) = 1/3 ln (x)
Graph of f(x)=ln(x) is missing but we can still answer this problem.
We just have to explain about what will happen if f(x)=ln(x) changes into g(x)=1/3 ln(x)
To find that compare both functions.
We see that ln(x) gets multiplied by 1/3 to produce graph of 1/3ln(x)
there multiplifaction factor 1/3 lies between 0 and 1.
Hence graph of f(x) will compress vertically by factor of 1/3 to produce graph of g(x).
So for the final answer we will write f(x) compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)
You can check attached file for more related rules
Answer:
compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)
Step-by-step explanation:
What is the function rule for the line?
Choices are in the screenshot! I'd appreciate the help! :)
Answer:its correct got a 100
Step-by-step explanation:
Four times a number increased by six is the same as seven times the number.
Call that number x.
Then rewrite as equation:
4x+6=7x
solve for x
6=3x
2=x
So the number is 2.
Check that 2 is the number by following the original wording, mentally.
Hey there!!
Let's take the number as 'x'
4 times the number is 4x
This is increased by 6
We will have to add 6.
... 4x + 6
7 times a number is 7x
... 7x
Both these values are equal.
Hence,
... 4x + 6 = 7x
... 6 = 3x
... x = 2
Hence, the number is 2.
Please help .!!!!!!!!!!!!!!!!!!!
((V/π)(3/4))1/3 = R so I would say possibly the second one
What is the next term in the pattern shown below? 4.5, 9, 13.5, 18
22.5
note that the difference (d ) between each term is
d = 9 - 4.5 = 13.5 - 9 = 18 - 13.5 = 4.5
to obtain the next term add 4.5
next term = 18 + 4.5 = 22.5
The next term in the pattern is 22.5.
To find the next term in the pattern, it's essential to identify the underlying rule or mathematical operation that governs the progression of the given numbers.
In this case, we can observe that the sequence is increasing by a consistent difference of 4.5 between each consecutive term.
Starting from 4.5 and adding 4.5 successively, we get:
4.5 + 4.5 = 9
9 + 4.5 = 13.5
13.5 + 4.5 = 18
The next term would be:
18 + 4.5 = 22.5
So, the next term in the pattern is 22.5.
In this sequence, each term is obtained by adding 4.5 to the previous term, resulting in an arithmetic progression.
If you continue this pattern, you will keep adding 4.5 to each subsequent term to find the following numbers in the sequence.
For similar question on pattern.
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Why do you think the AA Similarity Postulate is introduced as a postulate and not a theorem?
Which equation represents a direct linear variation?
direct linear variation is a straight line in which the y intercept is 0
a- wrong because it is quadratic, not linear.
b- correct, linear with a y intercept of 0
c- wrong because its exponential
d- wrong, its linear but the y intercept is 3, not 0
HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!
chose the pieces with no symmetry
The answer would be the bottom left. You can't fold it in half and have it match up with the other side.
Circumference of a circle with diameter of 12.5 feet??