ANSWER QUICK PLEASE
Question 1
Simplify: -6 + 10 +-8
Question 2
Simplify (-3)(6)
Question 3
Simplify
-7 - 18
Answers
Answer:
the answer is to this question is -25
Answer:
1) -4
2) -18
3) -25
Step-by-step explanation:
1)
-6 + -8 = -14
-14 + 10 = -4
2)
Any number multiplied by a negative number will result in a negative product.
So what I do is I multiply as if there was no negative sign: 3 × 6 = 18
Then I add the negative sign to the product: -18
3)
One way you could do this is by switching it around: 18 - -7
Which would make it: 18 + 7 = 25
Then add the negative sign: -25
Related Questions
solve this question
i need it
Answers
To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:
A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)
To find the limit, we divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)
Therefore, the limit of the sequence A is 5.
B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)
Again, divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)
So, the limit of sequence B is -7.
C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)
Divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)
As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:
\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)
Therefore, the limit of sequence C is 4.
To summarize:
A. The limit of sequence A is 5.
B. The limit of sequence B is -7.
C. The limit of sequence C is 4.
Find the missing term in the
geometric sequence.
13,[ ? ],208
Answers
Answer:
110.5
Step-by-step explanation:
208=13+(3-1)d
208=13+2d
-13. -13
195=2d
÷2. ÷2
97.5=d. (d means difference)
13(first term)+97.5=110.5
Answer: 676
Step-by-step explanation: r/13=208/r
r²=2704
r=52
13x52=676
Circles centered at $A$ and $B$ each have radius 2. Point $O$ is the midpoint of $\overline{AB}$, and $OA = 2\sqrt2$. Segments $OC$ and $OD$ are tangent to the circles centered at $A$ and $B$, respectively, and $\overline{EF}$ is a common tangent. What is the area of the shaded region $ECODF$? Round your answer to the nearest tenth.
Answers
The area of the shaded region ECODF is given by 8√2 - 4 - π units and rounding it to the nearest tenth we get, 4.2 units.
From the given diagram we can deduce that -
Area(ECODF) = Area(ABFE) − Area(OAC) − Area(OBD) − Area(CAE)− Area(DBF)
OA = OB = 2√2
⟹AB = EF = 4√2
AE = BF = 2
Area(ABFE) =2 × 4√2 = 8√2
Now, AC = BD =2
OC = OD = \(\sqrt{(2\sqrt{2})^{2} - 2^{2}}\)
=√(8−4)
= √4
= 2
Area(OAC) = Area(OBD) = 12 × 2 × 2 = 2
Triangles OAC and OBD are isosceles right triangles:
∠OAC = ∠OBD = 45°
Sectors CAO and DBF have central angles:
∠CAE = ∠DBF = 90° − 45° = 45°
Area(CAE) = Area(DBF) = 45/360 × π(2^2) = π/2
hence, the area of region ECODF is given by -
Area(ECODF) = 8√2 - 2(2) - 2(π/2)
Area(ECODF) = 8√2 - 4 - π
and rounding it to the nearest tenth we get, 4.2 units.
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The complete question is -
Circles centered at $A$ and $B$ each have radius 2. Point $O$ is the midpoint of $\overline{AB}$, and $OA = 2\sqrt2$. Segments $OC$ and $OD$ are tangent to the circles centered at $A$ and $B$, respectively, and $\overline{EF}$ is a common tangent. What is the area of the shaded region $ECODF$? Round your answer to the nearest tenth.
Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
0.4536
0.9072
1.8144
4.536
Answers
Answer:
B) 0.9072
Step-by-step explanation:
Eleanor can type 10 pages in 22 minutes. At this rate, how long will it take her to type 93 pages?
Answers
Step-by-step explanation:
\(93 \times 22minutes = 2046 \\ \frac{2046}{10} = 204.6minutes\)
Let \(\alpha\) be positive real number.
Let f:\(\mathbb{R}\to\mathbb{R}\) and g:\((\alpha,\infty)\to\mathbb {R}\) be the function defined by
\( \rm f(x) = \sin \bigg( \dfrac{\pi x}{12} \bigg ) \: and \: g(x) = \dfrac{2 log_{e}( \sqrt{x} - \sqrt{ \alpha } ) }{ log_{e}( {e}^{ \sqrt{x} } - {e}^{ \sqrt{ \alpha } } ) } \)
Then the value of \( \rm \lim_{x \to { \alpha }^ + } f(g(x)) \\ \) is
Answers
First, \(f(x)\) is continuous on its domain, so
\(\displaystyle \lim_{x\to\alpha^+} f(g(x)) = f\left(\lim_{x\to\alpha^+} g(x)\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\ln\left(\sqrt x - \sqrt\alpha\right)}{\ln\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}\right)\)
As \(x\to\alpha^+\), \(\sqrt x-\sqrt\alpha\to0\) and \(e^{\sqrt x}-e^{\sqrt\alpha}\to0\), so overall we have an indeterminate form ∞/∞. Apply l'Hôpital's rule and simplify.
\(\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(\frac\pi6 \lim_{x\to\alpha^+} \frac{\frac1{2\sqrt x\left(\sqrt x - \sqrt\alpha\right)}}{\frac{e^{\sqrt x}}{2\sqrt x\left(e^{\sqrt x} - e^{\sqrt\alpha}\right)}}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(-\frac\pi6 \lim_{x\to\alpha^+} \frac{e^{-(\sqrt x-\sqrt\alpha)} - 1}{\sqrt x - \sqrt\alpha}\right)\)
Substitute \(y=\sqrt x-\sqrt\alpha\), so that \(x\to\alpha^+\implies y\to0^+\).
\(\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6 \lim_{y\to0^+} \frac{e^{-y} - 1}y\right)\)
The remaining limit is the right-derivative of \(e^{-y}\) at \(y=0\), so
\(\displaystyle \lim_{x\to\alpha^+} f(g(x)) = \sin\left(-\frac\pi6\frac{de^{-y}}{dy}\bigg|_{y\to0^+}\right) \\\\ ~~~~~~~~~~~~~~~~~~ = \sin\left(\frac\pi6\right) = \boxed{\frac12}\)
Geometric mean and Harmonic mean for the values 3, -11, 0, 63, -14, 100 are
Select one:
a. 0 and 0
b. 3 and -3
c. 3 and 0
d. Impossible
e. 0 and 3
Note: Answer C is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.
Answers
the answer is E
i typed out my explanation here, for some reason i can’t get the format of a square root on this website
The correct answer is an option (d): Impossible.
Both the geometric mean and harmonic mean require positive values. However, in the given set of values, we have negative values (-11 and -14), which makes it impossible to calculate the geometric mean and harmonic mean. Therefore, the correct answer is that it is impossible to calculate the geometric mean and harmonic mean for the given values.
can someone write these in decimals plz and thank u
Answers
Answer:
2. 0.075
3. 0.416
4. 20.3
5. 1.32
6. 0.503
7. 12.11
8. 0.214
pls help me solve this
Answers
The results of operations between vectors are, respectively:
Case A: u + w = <- 3, - 1>
Case B: - 6 · v = <6, 6>
Case C: 3 · v - 6 · w = <- 21, - 15>
Case D: 4 · w + 3 · v - 5 · u = <39, 4>
Case E: |w - v| = √(4² + 3²) = 5
How to determine the operations between vectors
In this problem we must determine the operations between vectors, this can be done by following definitions:
Vector addition
v + u = (x, y) + (x', y') = (x + x', y + y')
Scalar multiplication
α · v = α · (x, y) = (α · x, α · y)
Norm of a vector
|u| = √(x² + y²)
Now we proceed to determine the result of each operation:
Case A:
u + w = <- 6, - 3> + <3, 2>
u + w = <- 3, - 1>
Case B:
- 6 · v = - 6 · <- 1, - 1>
- 6 · v = <6, 6>
Case C:
3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>
3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>
3 · v - 6 · w = <- 21, - 15>
Case D:
4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>
4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>
4 · w + 3 · v - 5 · u = <39, 4>
Case E:
|w - v| = |<3, 2> - <- 1, - 1>|
|w - v| = |<4, 3>|
|w - v| = √(4² + 3²) = 5
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write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2
Answers
Answer:
The answer is
\(y + 9 = - 2(x - 10)\)Step-by-step explanation:
To find the equation of a line given a point and slope we use the formula
y - y1 = m(x - x1)where
m is the slope
( x1 , y1) is the point
From the question
Slope / m = - 2
The point is ( 10, - 9)
Substitute the values into the above formula
That's the final answer is
\(y + 9 = - 2(x - 10) \)Hope this helps you
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
Answers
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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Which of the following can be a common denominator for the fractions 2/5 and 3/4?
4
10
5
20
Answers
The answer is 20.
4 isn't divisible by 5 and 5 isn't divisible by 4.
4 8 12 16 24 28
5 10 15 20 25
Answer:
Step-by-step explanation:
2/5 and 3/4
5*4 = 20
Hope that helps!
29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
Answers
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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An angle measure is 4 more than twice it’s complement. What would it’s supplement measure?
Answers
The measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.
What is an angle?An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The twο rays are termed the sides οf an angle, and the cοmmοn terminatiοn is called the vertex. Angles are typically expressed as degrees. A "prοtractοr" is a crucial geοmetrical instrument that aids in measuring angles in degrees. Twο sets οf numbers οn a prοtractοr are οriented in οppοsitiοn tο οne anοther. On the οutside rim, οne set gοes frοm 0 tο 180 degrees, while οn the inner rim, the οther set gοes frοm 180 tο 0 degrees.
Let the angle be x.
Twο angles are cοmplementary when their sum is 90°.
Tοw angles are supplementary when their sum is 180°
If x is οne angle, then its cοmplementary angle is (90-x)°
Given x is 4 mοre than twice its cοmplement.
We can write the equatiοn as:
x = 4 + 2*(90-x)
Sοlving,
x = 4 + 180 - 2x
3x = 184
x = 61.33°
Nοw we are asked tο find the supplementary angle οf x.
Supplementary angle = 180 - x = 180 - 61.33 = 118.67°
Therefοre the measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.
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WILL MARK BRAINLIEST.
What does the number in the bottom right-hand corner of a two-way frequency table represent?
A= It is the total number of data points in the data set, which is also the maximum of the row totals or the column totals.
B= It is the row total number of data points in the data set, which is also the difference of the row totals or the column totals.
C= It is the column number of data points in the data set, which is also the difference of the row totals or the column totals.
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Answers
Answer:
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Step-by-step explanation:
The number in the bottom right-hand corner of a two-way frequency table represents D. It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
What is a two-way frequency table?When displaying frequencies or relative frequencies for two categorical variables, a two-way table is used. Columns indicate the second category, whereas rows represent the first.
The two-table displays frequencies for two categorical variables in terms of rows and columns.
The number in the bottom right-hand corner of a two-way frequency table represents the total number of data points in the data set, which is also the sum of the row totals or the column totals.
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Jeffery ordered 3 pieces of pizza an 2 nachos for total of 16.50 hanah ordered a piece of pizza an 4 nachos for total of 16 in equation form how much is a slice of pizza
Answers
By solving a system of equations we will see that the cost a slice of pizza is $9.80
How to find the cost of a slice of pizza?Let's define the variables:
p = cost of a slice of pizza.
n = cost of the nachos.
We know that "Jeffery ordered 3 pieces of pizza an 2 nachos for total of 16.50"
So we can write:
3p + 2n = 16.50
"Hanah ordered a piece of pizza an 4 nachos for total of 16 "
p + 4n = 16
Then we can write the system of equations:
3p + 2n = 16.50
p + 4n = 16
We can isolate n on the second equation to get:
4n = 16 - p
n = (16 - p)/4
n = 4 - (1/4)p
Replacing that on the other equation we get:
3p + 2*(4 - (1/4)p) = 16.50
Now we can solve this for p.
3p - 8 - 1/2p = 16.50
(5/2)p - 8 = 16.50
(5/2)p = 16.50 + 8
p = (2/5)*(16.50 + 8) = 9.8
So the cost of a slice of pizza is $9.80
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Solve for the value of t
Answers
Answer:
T = 12
Step-by-step explanation:
8t+1=97
We move all terms to the left:
8t+1-(97)=0
We add all the numbers together, and all the variables
8t-96=0
We move all terms containing t to the left, all other terms to the right
8t=96
t=96/8
t=12
I need help with thiissss
Answers
Answer:
25°
Step-by-step explanation:
Angles on a straight line equal 180°, so 180-155=25
Answer:
B I believe but I'm not 100%
i cant figure this out
Answers
Answer:
(xy) ^ (-1)
Step-by-step explanation:
Good luck!!
How to find 2% of 3000
without a calculator
Answers
Answer:
60%
Step-by-step explanation:
Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate plane starts from the y-axis at 1 unit and passes through (pi, minus 1), (2 pi, 1), and (3 pi, minus 1) and intercepts the x-axis at pi by 2, 3 pi by 2, 5 pi by 2, and 7 pi by 2.
Answers
The correct equation that matches the given graph is y = cos(x) + 1.
To determine the equation that matches the given graph, we can observe the key features and points provided.
The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.
The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.
The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.
Based on these observations, the function can be represented as a cosine function.
The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:
y = cos(x) + 1
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What is the total square inches
Answers
Square Area = side x side = 3x3 = 9
Rectangle Area = side x side= 7x3= 21
9 + 21 = 30 square inches
Answer:
30 square inches
Step-by-step explanation:
\(\boxed{\text{\bf Area of rectangle = length *width}}\)
Rectangle1:
Area = 6 * 3
= 18 square inches
Rectangle2:
Area = 4 * 3
= 12 square inches
Area of the figure = area of rectangle1 + area of rectangle2
= 18 + 12
= 30 square inches
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
What would need to be used to show the triangles are congruent by AAS?
A: Nothing as the triangles can not be proved congruent by AAS.
B: Angles are congruent by vertical
angles.
C: Sides are congruent by the
reflexive property.
D: Angles are congruent by the
reflexive property.
Answers
Triangles are shown to be congruent by the statement that "Angles are congruent by vertical angles."
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
Given two triangles, Where the base of these triangles are same
And also given that the two angles are the same.
Since,
Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).
Thus, the third angle is also equal
From AAS:
AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent
Therefore. "Angles are congruent by vertical angles" is used to show the triangles are congruent by AAS,
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If Isaiah drives for 8 hours, and drives 456 miles. How fast does he drive in miles per hour? (label is "miles per hour")
Answers
Answer: 58 mph
Step-by-step explanation: 456 divided by 8 = 58. You divide the miles he’s rode with the hours he took.
2. Find the simple interest for the following. Round to the nearest cent.
$7800 at 9.25% for 4 months
3. What is the difference between exact and ordinary interest? Don't forget about leap years.
Answers
Exact interest is the exact amount of interest earned on a loan, calculated to the exact number of days and using a 365-day year or 366-day year for leap years. Ordinary interest is calculated using a 360-day year, regardless of whether it's a leap year or not, and is a simplified method for determining interest on a loan. The difference between the two methods is that exact interest takes into account the exact number of days in a year, while ordinary interest assumes a standard year of 360 days, resulting in a lower interest calculation
Is it helpful?
Answer:
2. $240.50
3. See below
Step-by-step explanation:
2.
I = Prt
where I = interest
P = principal amount (amount of investment)
r = annual interest rate
t = time in years
t = 4 months = 4/12 year = 1/3 year
r = 9.25% = 0.0925
I = Prt
I = $7800 × 0.0925 × 1/3
I = $240.50
3. Exact interest takes into account every day of the year. In a regular year, there are 365 days. in a leap year, there are 366 days. Exact interest uses the exact number of days of the specific year for interest calculations of less than a year.
Ordinary interest rounds off a year to 360 days, and calculations are based on a year having 360 days, not 365 of 366 days.
JOINING one triangle and 1 rectangle of area 72 meter and perimeter 27 meter was joined to form a new triangle find its perimeter and area
Answers
l = 27/4 + √47 . (3i/4) and l = 27/4 - √47 . (3i/4) are the value of l in rectangle .
What is a rectangle?
With four sides and interior angles that are all exactly 90 degrees, a rectangle is a four-sided polygon. Every corner or vertex has a right angle where the two sides meet. It differs from a square in that the length of the opposing sides of the rectangle are equal.
rectangle of area = 72 meter
72 = l * b
b = 72/l
perimeter = 27 meter
27 = 2( l + b )
27 = 2( l + 72/l )
27/2 = ( l + 72/l )
27/2 = l² + 72/l
27l = 2l² + 144
2l² - 27l + 144 = 0
after factor value of l are
l = 27/4 + √47 . (3i/4)
l = 27/4 - √47 . (3i/4)
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members of a soccer team raised $1210.50 to go to a tournament . they rented a bus for 769.50 and budgeted 31.50 per player for meals
Answers
There were 14 players on the soccer team.
In the given problem, the members of a soccer team raised $1210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. We need to find how many players were on the team.To solve this problem, we can start by subtracting the cost of the bus rental from the total amount raised by the team:$1210.50 - $769.50 = $441Now, we can divide this remaining amount by the amount budgeted per player for meals:$441 ÷ $31.50 = 14Therefore, there were 14 players on the soccer team. We can check our answer by multiplying the number of players by the amount budgeted per player for meals:14 x $31.50 = $441This is equal to the remaining amount after the bus rental was paid, which confirms that our answer is correct.
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The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
Answers
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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Given that the real-world distance from Chicago to San Jose is 2,200 miles, the distance from Atlanta to San Jose is
Answers
The distance from Atlanta to San Jose is
Answer:
(2,440.1 mi)