Answer:
[tex] {80x}^{7} - {20x}^{4} + {6x}^{2} - 18[/tex]
Explanation:
The Power Rule, one of the most commonly used derivative rules says:
The derivative of x^n is nx(n−1)
10x^8 - 4x^5 + 2x^3 -18x - 9
=[ (10×8)^8-1 ] + [ (-4×5)^5-1 ] + [ (2×3)^3-1] + [ (-18×1)^1-1] + [(-9×0)^0-0]
=80x^7 - 20x^4 + 6x^2 - 18
The perimeter of a rectangular dining room is 22 meters. The dining room is 3 meters wide. How long is it?
Answer:
8 meters
Step-by-step explanation:
perimeter of a rectangular figure = 2( length + width)
=> 22 = 2 ( length + 3)
dividing both sides by 2=> 11 = length + 3
subtracting 3 from both sides=> length = 8
Michael has 24 CDs. This is four more than five times the amount that Kathleen has. How many CDs does Kathleen have?
Answer:
5
Step-by-step explanation:
A taxicab moves five blocks due north, five blocks due east, and another three blocks due north. Assume all blocks are of equal size. How far is the taxi from its starting point
Answer:
9.43
Step-by-step explanation:
Given
See attachment for illustration
Required
Distance AE
The actual path taken by the taxicab are in bold lines.
To calculate the distance AE, we simply consider the triangle AOE where
[tex]AE^2 = OE^2 + AO^2[/tex]
[tex]AE^2 = 5^2 + (5+3)^2[/tex]
[tex]AE^2 = 5^2 + 8^2[/tex]
[tex]AE^2 = 25 + 64[/tex]
[tex]AE^2 = 89[/tex]
Take square roots
[tex]AE = \sqrt{89[/tex]
[tex]AE = 9.43[/tex]
Does anyone know how to solve this equation?
9514 1404 393
Answer:
$80
Step-by-step explanation:
You are given the formula ...
P = I/(rt)
and the values I = 20, r = 0.05, t = 5.
Put the numbers in place of the corresponding variables and do the arithmetic.
P = 20/(0.05·5) = 20/0.25 = 80
The amount $80 will generate $20 in interest over 5 years at 5% per year.
Lin's meal cost $17.99. She left a tip that was approximately
15% of the cost of her meal. Which amount did Lin leave as
a tip?
If the two angles are complementary, find the measure of each of angle.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\text{D) } 40 \text{ and }50[/tex]
»»————- ★ ————-««
Here’s why:
Complementary Angles have a sum of 90°.⸻⸻⸻⸻
[tex]\boxed{\text{Setting up an equation...}}}\\\\ \text{We know that complementary angles add up to 90 degrees.}\\\text{Therefore, the sum of the two angles is 90 degrees.}\\\\\rightarrow 4r + 5r = 90[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'r'...}}\\\\4r + 5r = 90\\---------------\\\rightarrow 9r = 90\\\\\rightarrow \frac{9r=90}{9}\\\\\boxed{r = 10}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Evaluating the expressions given...}}\\\\4r \text{ and } 5r\\----------------\\\boxed{4r}\\\\\rightarrow 4(10)\\\\\rightarrow 4 * 10\\\\\rightarrow\boxed{40}\\----------------\\\boxed{5r}\\\\\rightarrow 5(10)\\\\\rightarrow 5 * 10\\\\\rightarrow \boxed{50}[/tex]
⸻⸻⸻⸻
The correct answer should be D.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
D 40 degree and 50 degree
Step-by-step explanation:
* We can work in units when dealing with tens as 4 + 5 = 9
* As the angle ASD is a Right Angle 4r : 5r = 9r
* 2 angles we see within add up to 90 degree 90 = 9r
ASM + MSO = 90 degree
* 5r = ASM and 4r = MSO = 50 = ASM and 40 = MSO
Therefore ASO - MSO = ASM = 90 - 50 = 40
90 - 50 = 40 and 90 - 5r = 4r
4r = 40 degree and 5r = 50 degree
So just list a few of the above and show that
4r + 5r = 90
9r = 90/9
r = 10
Rounding to zero angles = 40 + 50 = 90 as r = 10
* Answer is D 40 degree and 50 degree
Determine the distance between the points (2,7) and (-4,15)
Answer:
option C
Step-by-step explanation:
[tex]distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]=\sqrt{(-4-2)^2+(15-7)^2} \\\\=\sqrt{(-6)^2 + 8^2}\\\\=\sqrt{36 + 64 }\\\\= \sqrt{100} \\\\= 10[/tex]
NEED ASAP! What is m
Answer:
B = 31.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan B = opp / adj
tan B = 28.2 / 45.8
taking the inverse tan of each side
tan ^ -1 ( tan B) = tan ^-1 (28.2/45.8)
B =31.62145
Rounding to the nearest tenth
B = 31.6
HELPP ME IM TOO SLOW FA DIS
Answer:
75.36 cubic units
Step-by-step explanation:
The volume of a cylinder is [tex]V=\pi r^{2}h[/tex] where [tex]V[/tex] is the volume of the cylinder, [tex]r[/tex] is the radius of the cylinder's base, and [tex]h[/tex] is the height of the cylinder. This problem requires that we use 3.14 for the constant [tex]\pi[/tex].
With the given information, this means that the volume of the cylinder is:
[tex]V=\pi r^{2}h[/tex]
[tex]V=3.14(2)^{2}(6)[/tex]
[tex]V=3.14(4)(6)[/tex]
[tex]V=3.14(24)[/tex]
[tex]V=75.36[/tex]
Therefore, the volume of the cylinder is 75.36 cubic units
determine the measure of CD from the diagram below
Answer:
100 degrees
Step-by-step explanation:
This is because AED And CED ARE supplimetary.
80+<CED=180
-80 -80
<Ced=100
a brownie recipe calls for 1 cup of sugar and 1/2 cup of flour to make one batch of brownies. To make multiple batches, the equation f = 1/2 s where f is the number of cups of flour and s is the number of cups of sugar represents the relationship. which graph also represents the relationship? explain how you know.
Answer:
A
Step-by-step explanation:
f = 1/2s
Let s = 2 that means f = 1 That means for 2 cups of sugar there is 1 cup of flour.
This point must be on the graph
It is on A, not on B, not on C
At a pottery shop, there are 7 vases for every 3 planters.
Which of the following shows the ratio of planters to vases at the shop?
Answer:
3:7
Step-by-step explanation:
a ratio is a representation of a certain amount of two items. since there are 7 vases for every 3 planters, the amount of vases versus the amount of planters is represented by 3:7
The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 16 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 200 flights per hour.
207 204 175 193 208 187 213 220 176 213
204 206 224 216 186 184 216 204 209 186
215 204 216 224 184 197 176 181 197 175
Required:
Set up a right-tailed decision rule at α = 0.025 to decide whether there has been a significant increase in the mean number of arrivals per hour.
Answer:
that there is no significant evidence that there is an increase in mean number of arrivals per hour
Step-by-step explanation:
The hypothesis :
H0 : μ = 195
H1 : μ > 195
We obtain the test statistic :
(xbar - μ) ÷ (σ/√(n))
xbar = 200 ; n = 30 ; σ = 16
Test statistic :
(200 - 195) ÷ (16/√(30))
5 ÷ 2.9211869
= 1.712
Using the Pvalue calculator :
Pvalue from Test statistic = 0.043
At α = 0.025
Pvalue > α ; we fail to reject the Null and conclude that there is no significant evidence that there is an increase in mean number of arrivals per hour.
the graph shows the relationship between the amount of milk and water used in a recipe
Answer:
Multiply the amount of milk by 4
Step-by-step explanation:
Given
See attachment for graph
Required
The rule of the graph
Pick any two points on the graph
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (1,4)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 0}{1 - 0}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m =4[/tex]
The graph equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 4(x - 0) + 0[/tex]
[tex]y = 4(x)[/tex]
[tex]y = 4x[/tex]
The above shows that the x values are multiplied by 4 to get y
Challenge: x(2)+9x+c
:-D
Answer:
×(2)+9×+c
2×+9×+c =
11x+c
2. Denise took out a $16 000.00 loan from the bank to help pay for university. The bank offered an
annual interest rate of 5.6% compounded quarterly over a 3-year term. The entire loan is repaid
at the end of the 3-year term. Determine the total amount that Denise had to pay back.
A car covers a distance of 66.7 km in 1 litre of petrol .How much distance will it cover in 10 litre of
petrol ?
Answer:
666.7
Step-by-step explanation:
66.7*10=666.7
the reason its not 667 is beacuse of the repeateing rule like 1/3 is .33333
and 2/3 is .66667 the reason there is a 7 at the end is becuse you round up so i doesn't run on forever
Answer:
667 km
Step-by-step explanation:
66.7 km / 1 liter
Y = 66.7x
X = Liters of Petrol
Y = Total KM Traveled
Y = 66.7 (10)
Y = 667km
Determine the equation for a line that passes through the point M(-7, 3) and
perpendicular to 7x − 2y + 3 = 0. Show your complete work.
Answer:
y = 2x/7 + 5
Step-by-step explanation:
the first line is defined by
7x - 2y + 3 = 0
in the most common way to write this we need an equation like y = ...
so, we isolate the y-expression in the equation :
2y = 7x + 3
y = (7x + 3) / 2 = 7x/2 + 3/2
the factor of x is the slope of the line, which is expressed by the y/x ratio indicating how many units y will change, when x changes e.g. 1 unit.
7/2 means that y will change by 7 units for every change in x by 2 units.
the slope of a perpendicular line is inverse to the slope of the original line, which means x and y are simply trading places (original x / original y).
so, the perpendicular slope of 7/2 is 2/7 (when x changes by 7 units, then y changes by 2 units).
that means the equation for the perpendicular line is something like
y = 2x/7 + c
the c we determine by using the coordinates of the given point (x and y values).
3 = 2×(-7)/7 + c = 2×(-1) + c = -2 + c
c = 5
so, the complete equation of the perpendicular line is
y = 2x/7 + 5
Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest. He invested S1000 less in a 18-month CD
that had a 2% simple interest return. If the total amount of interest from these investments was $945.00, determine how much was invested in each CD.
Answer:
Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
Step-by-step explanation:
Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:
3.3 x 5 = 16.5
2 x 1.5 = 3
4000 x 0.165 + 3000 x 0.03 = 750
6000 x 0.165 + 5000 x 0.03 = 1140
5000 x 0.165 + 4000 x 0.03 = 945
Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.
The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r = -6
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope 3/4
This means that [tex]m = \frac{3}{4}[/tex], and thus:
[tex]y = \frac{3}{4}x + b[/tex]
(6,3)
This means that when [tex]x = 6, y = 3[/tex]. We use this to find b. So
[tex]y = \frac{3}{4}x + b[/tex]
[tex]3 = \frac{3}{4}(6) + b[/tex]
[tex]b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}[/tex]
So
[tex]y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}[/tex]
(-6, r)
r is y when [tex]x = -6[/tex]. So
[tex]y = \frac{3(-6) - 6}{4} = -6[/tex]
So r = -6.
What is the answer to this
Answer:
A
Step-by-step explanation:
Answer:
[tex]x < - 2[/tex]
Step-by-step explanation:
Hope it is helpful...
Classify each triangle as a right triangle or not a right triangle. Have a great day!
Answer:
This is not a right triangle
Step-by-step explanation:
the bottom and side would have to be equal
Write an expression showing the quotient of J and 3
Answer:
j/3
Step-by-step explanation:
quotient is division
j/3
6. a. Name a pair of equations that have exactly one point of intersection. How do you know?
b. Name a pair of equations that have no points of intersection. How do you know?
c. Name a pair of equations that have infinite points of intersection. How do you know?
No links or I will report! Stop reporting this question please!
Answer:
A system of linear equations will have exactly one point of intersection, for example:
2x+y=5
-x+y=2
However, a system of linear equations with no solution will have no points of intersection, for example:
-4x+10y=6
2x-5y=3
Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe
And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)
I attached a photo below, and one of how to graph it
The following examples illustrate the commutative property of multiplication.
5 · 2 · 9 = 2 · 5 · 9
3.14 · 2 = 2 · 3.14
Study the examples, then choose the statement that best describes the property.
a · b = a ÷ b
a · (b · c) = (a · b) · c
a · b = b · a
a · b = a · c
determine the quadrant of -210
9514 1404 393
Answer:
-210° is a 2nd quadrant angle
-210 radians is a 3rd quadrant angle
-21° is a 4th quadrant angle
Step-by-step explanation:
If we assume you want the quadrant of the terminal ray of a standard-position angle whose measure is -210 degrees, then we can find the equivalent positive angle by adding 360°. The result is the coterminal angle of 150°. That lies between 90° and 180°, so is in the 2nd quadrant.
__
The number given in this problem statement has no units attached. A "unitless" angle measure is a measure in radians. To normalize this angle of -210 radians, we can 68π radians to give a coterminal angle of about 3.628300 radians, or 207.9°. This angle lies between 180° and 270°, so is a 3rd quadrant angle.
__
If the number given here is intended to be -21°, then it is measured 21° clockwise from the +x axis. That puts it in the 4th quadrant.
_____
Additional comment
We understand that sometimes the degree symbol does not get properly rendered when questions are copied to Brainly. We have seen it disappear (which we initially assumed was the case here), and we have seen it rendered as a zero (considered as an afterthought here). We also want to emphasize the fact that angles cannot be assumed to be in degrees, and that an angle in radians is equivalent to a pure number--one with no units at all. Hopefully we've covered enough bases that you can find the answer you want among those offered.
(b) Ginny has 795.817 g of mincemeat left when she has finished baking.
She splits it equally between four jars.
Estimate how much mincemeat goes into each jar.
Answer:
198.954 g per jar
Step-by-step explanation:
Given that :
Mass of mincemeat left = 795.817 g
Number of jars = 4
Mass left split equally in the jars ; we'll have ;
Mass of mincemeat left / number of jars
Mass of mincemeat in each jar :
795.817 / 4
= 198.95425
= 198.954 g per jar
Please I need help! Thank you
Step-by-step explanation:
everything can be found in the picture
Answer:
h = [tex]\frac{K^2}{17}[/tex]
Step-by-step explanation:
Given
K = [tex]\sqrt{17h}[/tex] ( square both sides )
K² = 17h ( divide both sides by 17 )
[tex]\frac{K^2}{17}[/tex] = h
Peter wants to test an assumption on the number of trees that tested positive for a particular infestation. He decides to focus his efforts on examining if more than 12% of trees have been infested. What should Peter state for the null hypothesis and alternative hypothesis
Answer:
H0 : P ≤ 0.12
H1 : P > 0.12
Step-by-step explanation:
12% = 12/ 100 = 0.12
Given the population proportion, P = 0.12
The claim is the alternative hypothesis, H1 ; which is to test if more than 12% of trees have been infested.
Hence, the alternative hypothesis will be ;
H1 : P > 0.12
The null hypothesis which is the initial truth is always the opposite of the alternative hypothesis, Therefore, we write our null as ;
The null hypothesis ; H0 : P ≤ 0.12
Therefore, we have :
H0 : P ≤ 0.12
H1 : P > 0.12
Answer:
Null hypothesis: p equals 0.12
Alternative hypothesis: p greater than 0.12
Step-by-step explanation:
Since we are focusing on testing if the proportion of is greater than 12%, we can only reject the null hypothesis if the value is larger. This would be a one-tailed right test. So the null hypothesis and alternative hypothesis would be:
Null hypothesis: p = 0.12
Alternative hypothesis: p > 0.12.
12.7 x 3.9 what is the answer
Answer:
49.53
Step-by-step explanation:
Answer:
49.53
3.9 = 3 + 0.9 (separated by place value)
12.7 x 0.9 = 11.43
12.7 x 3 = 38.1
11.43 + 38.1 = 49.53
(this is the process that happens in stack multiplication of this format:
12.7
x 3.9
-----------
49.53
