Answer:
C. Britain demanded new taxes from American colonists.
Step-by-step explanation:
After Britain fought the Seven Years' War, the country was stuck with a great amount of debt. Britain's solution to this problem was taxes. Specifically, taxes on tea (Tea Act), paper products such as newspapers and playing cards (Stamp Act), wine, sugar and coffee (Sugar Act), and textiles (also Sugar Act). After these taxes were imposed upon the American colonists, they began to revolt (Example: Boston Tea Party), which sparked the American Revolution.
Hope this helps! Have a great day!
Someone answer and explain PLEASE ILL MARK BRAINLIEST
Answer:
i beleive 9 times
Step-by-step explanation:
50÷5.50=9.09
An item is regularly priced at $50. It is on sale for 30% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
Hii, okay so you pay $35 dollars and you're saving $15. Hope this helps!
Step-by-step explanation:
The discounted amount is $15.
What is discount?A discount is an amount that is subtracted from the regular price of an item.
How to obtain the required amount?Regular price of the item is $50
Discount percentage is 30%
∴ The discounted value = 30×50/100 = 15
Thus, The discounted amount is $15.
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help me answer this also please simply also no decimals and this is Dividing Radicals.
Answer:
\(\displaystyle \frac{\sqrt{2}}{x^2}\)
Step-by-step explanation:
Dividing Radicals
Given the division of radicals:
\(\displaystyle \frac{\sqrt{Z}}{\sqrt{Y}}\)
We can join both arguments of the radicals into one simple radical as follows:
\(\displaystyle \sqrt{\frac{Z}{Y}}\)
We are given the expression:
\(\displaystyle 2\frac{\sqrt{24}}{\sqrt{48x^4}}\)
Joining them in a single radical:
\(\displaystyle 2\frac{\sqrt{24}}{\sqrt{48x^4}}=2\sqrt{\frac{24}{48x^4}}\)
Simplifying the fraction:
\(\displaystyle 2\sqrt{\frac{24}{48x^4}}=2\sqrt{\frac{1}{2x^4}}\)
Multiplying by 2 in numerator and denominator:
\(\displaystyle 2\sqrt{\frac{1}{2x^4}}=2\sqrt{\frac{2}{4x^4}}\)
The denominator is a perfect square:
\(\displaystyle 2\sqrt{\frac{2}{4x^4}}=2\frac{\sqrt{2}}{2x^2}\)
Simplifying by 2:
\(\boxed{\displaystyle \frac{\sqrt{2}}{x^2}}\)
Connie can clean her house in 3.5 hours. If Alvaro helps her, together they can clean the house in 1 hour and 40 minutes. How long would it take Alvaro to clean the house by himself?
Answer:
1 hour and 50 minutes
Step-by-step explanation:
Time Connie takes to clean the house: 210 minutes
Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes
Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.
Answer:Alvaro can clean the house alone in approximately 3.89 hours.
Step-by-step explanation:
If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.
To find how long it would take Alvaro to clean the house alone, we can use the formula:
combined rate of work = sum of individual rates of work
So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.
Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).
Can u pleaseee answer all parts pleaseeeee <3333
please help meee
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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What’s the length of kL?
Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.
What is the Intersecting Secants Theorem?According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.
Using the theorem, we have:
MN * MO = ML * MK
Substitute:
21 * 48 = 22 * KL
1,008 = 22KL
1,008/22 = KL
KL = 45.8 (nearest tenth)
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What can you say about the end behavior of the function f(x) = -4x6+6x2 -52 ?
A. F(x)is an even function so both ends of the graph go in the same
direction.
B. f(x) is an even function so both ends of the graph go in opposite
directions
O C. The leading coefficient is negative so the left end of the graph
goes up.
D. The leading coefficient is negative so the left end of the graph
goes down
Answer:
A. F(x)is an even function so both ends of the graph go in the same direction.
D. The leading coefficient is negative so the left end of the graph goes down.
Step-by-step explanation:
Even function:
For every value of x, f(x) = f(-x)
In this question:
We are given the following function:
\(f(x) = -4x^6 + 6x^2 - 52\)
Testing if it is even:
\(f(1) = -4(1)^6 + 6(1)^2 - 52 = -4 + 6 - 52 = -50\)
\(f(-1) = -4(-1)^6 + 6(-1)^2 - 52 = -4 + 6 - 52 = -50\)
Since f(1) = f(-1), it is even.
Since it is even, both ends of the graph go in the same direction, so option A is correct, while option B is wrong.
Options C and D:
The leading coefficient, is -4(which multiplies x with the highest exponent). Since it is negative, it goes to negative infinity as x increases, that is, the left end goes down, and option D is correct while C is not.
50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45 which of the following histograms is the best representation of the data?
The best way to represent histograms is by decreasing to increasing order.
The mean is the arithmetic mean and is calculated by adding a group of numbers and dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
Given the values:
50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45
We have that:
(22+24+28+28+30+31+31+32+32+35+36+37+38+41+42+42+44+44+45+46+46+47+47+49+50)/25=37.88.
The average age that a large construction company wants to know is 38.
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Find the measure of t given that p
Answer:
m∠t = 143°
m∠x = m∠t
i'm just ordinary human, CMIIW
2) The
is used to determine whether the graph of an equation is
a function of y in terms of x.
Answer:
The Vertical Line Test is used to determine whether the graph of an equation is a function of y in terms of x.
Step-by-step explanation:
One can conduct the vertical line test can to determine whether a graph represents a function. The reason for this is that a function has one output value for each input value. Therefore, a vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
ILL GIVE BRAINLIEST!!! Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy?
Answer:
The answer is 7 she Can Buy 7 packages of cookies.
Step-by-step explanation:
1. 15-5.50=9.50
2.9.50-7.75=1.75
3. 1.75-0.25*7=0
She wouldn't have any money left over to buy it
PLEASE ANSWER AND DONT PUT RANDOM SUTFF.
1. Which linear equation is being represented by the graph?
(A)y = -3/4x + 4
(B)y = 3/4x - 3
(C)y = 3/4x + 4
(D)y = -3/4x - 3
2. Which equation best represents the relationship between x and y in the graph?
(A)y = 3x - 2
(B)y = 2x + 3/2
(C)y = -1/2x + 3
(D)y = -2x + 3
A college radio station sponsors a contest once a week. One resident from a dormitory calls in and tries to answer ten questions correctly. Each correct answer earns the dorm $50, but each incorrect answer reduces the winnings by $25. Last week’s contestant earned $350. How many answers were correct?
Answer:
There were 8 correct answers and 2 incorrect answers.
Step-by-step explanation:
The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.
Let's call:
x = Number of correct answers
y = Number of incorrect answers
The resident from a dormitory answered 10 questions last week. This leads to the following condition:
\(x + y = 10\qquad\qquad [1]\)
Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is
50x - 25y
The contestant earned $350, thus:
50x - 25y = 350
Dividing by 25:
2x - y = 14
Adding this equation with [1]:
x + 2x = 24
Simplifying:
3x = 24
x = 24 / 3
x = 8
From [1]:
y = 10 - x = 10 - 8
y = 2
There were 8 correct answers and 2 incorrect answers.
Which ordered pair maximizes the objective function p=3x+8y
(0,0)
(2,7)
(5,6)
(8,1)
Answer:
P(5,6) = 63
Step-by-step explanation:
Test each point to see which ordered pair maximizes the objective function:
(0,0): p = 3(0) + 8(0) = 0
(2,7): p = 3(2) + 8(7) = 6 + 56 = 62
(5,6): p = 3(5) + 8(6) = 15 + 48 = 63
(8,1): p = 3(8) + 8(1) = 24 + 8 = 32
Hence, (5,6) is the ordered pair that maximizes the objective function.
At a sports event, a fair coin is flipped to determine which team has possession of the ball to start. The coin has two sides, heads, (H), and tails, (T). Identify the correct experiment, trial, and outcome below: Select all that apply: a. The experiment is identifying whether a heads or tails is flipped. b. The experiment is flipping the coin c. A trial is flipping a heads. d. A trial is one flip of the coin. e. An outcome is flipping a tails. f. An outcome is flipping a coin once.
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
Experiment:
An experiment in probability is a process or activity that involves observing or measuring an outcome or event, in order to determine the likelihood or probability of certain outcomes.
Outcome:In probability, an outcome refers to a possible result that can occur from an experiment or event. It is one of the possible outcomes that can happen, and it may be a single result or a set of results.
TrialIn probability, a trial is a single repetition of an experiment or event. It is the process of observing or measuring the outcome of an event or experiment once.
Here we have
At a sports event, a fair coin is flipped to determine which team has possession of the ball.
The coin has two sides, heads, (H), and tails, (T).
From the given options correct answers are
a. The experiment identifying whether a head or tail is flipped is correct because the experiment is to determine which side of the coin will be facing up after the coin is flipped, either heads (H) or tails (T).
b. The experiment is flipping the coin is correct because the experiment involves physically flipping the coin.
d. A trial is one flip of the coin is correct as a trial is defined as a single performance of an experiment, in this case, flipping the coin once.
Therefore,
The correct answer about experiment, trial, and outcome is
a. The experiment identifies whether a head or tail
b. The experiment is flipping the coin
d. A trial is one flip of the coin
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Given the function f(x) = 4x3 + 13x, what is the gradient of the function when x = 2 ?
Answer:
y=45x+115
Step-by-step explanation:
We can find the slope of a line tangent to a curve at a point by evaluating the derivative of the function at that point.
We are given the function
f ( x ) = 4 x 3 + 12 x 2 + 9 x + 7
= f ( x ) = 4 x 3 + 12 x 2 + 9 x 1 + 7 x 0
Using the power rule, let's now compute the derivative of f( x )
f ' ( x ) = ( 3 ⋅ 4 x 2 ) + ( 2 ⋅ 12 x ) + ( 1 ⋅ 9 x 0 ) + 0 ⋅ 7 x − 1
f ' ( x ) = 12 x 2 + 24 x + 9
We can now find the slope of f ( x ) at x = − 3 by substituting this value into f ' ( x )
f ' ( − 3 ) = 12 ( − 3 ) 2 + 24 ( − 3 ) + 9
f'(-3)=12(9)+24(-3)+9
f'(-3)=108-72+9
f'(-3)=45(slope of the tangent line at x = − 3
Now that we have a slope for the tangent line, we need to identify a point on the line.
We know the tangent line touches the function f ( x ) at the point x = − 3 , so let's find the value of f ( x ) at this point:
f(-3)=4(-3)3+12(-3)2+9(-3)+7
f(-3)=4(-27)+12(9)+9(-3)+7
f(-3)=108+108-27+7
f'(-3)=-20
So we know the tangent line goes through the point
(-3,-20)
Finally, we can use the point-slope formula for a line to find the equation of the tangent line.
y=mx+b
To find the value of b , substitute the values we have calculated for the point and slope of the tangent line:
(-20)=(45)(-3)+b
-20=-135+b
b=115
So our final answer for the equation of the tangent line is:
y=45x+115
Select the equivalent expression.
A, B or C?
Answer:
A
Step-by-step explanation:
The relevant rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
\(\left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{(-10)(7)}}{4^{(2)(7)}}=\dfrac{2^{-70}}{4^{14}}\\\\=\boxed{\dfrac{1}{2^{70}\cdot 4^{14}}}\)
Mary's scarf is 64 centimeters long. How many millimeters is the length of the scarf?
Answer:
640 mm
Step-by-step explanation:
Will give 100 points to anyone who can find the arc measure and show work! thanks!
Answer:
2π/3 radians----------------------
Given:
Arc length (s) = 8π/3 Radius (r) = 4 kmTo find the arc measure (θ) in radians, we can use the formula:
s = rθNow, plug in the given values:
8π/3 = 4θTo solve for θ, divide both sides by 4:
(8π/3) / 4 = θSimplify the expression:
2π/3 = θSo, the arc measure (θ) is 2π/3 radians
1+cos2a+sin2a/1-cos2a+sin2a=cota
Answer:
Proved
Step-by-step explanation:
Required
Show that:
\(\frac{1+cos2a+sin2a}{1-cos2a+sin2a}=cota\)
\(cos2a = cos(a + a) = cos^2a - sin^2a\)
So, we have:
\(\frac{1+cos^2a - sin^2a+sin2a}{1-(cos^2a - sin^2a)+sin2a}=cota\)
\(\frac{1+cos^2a - sin^2a+sin2a}{1-cos^2a + sin^2a+sin2a}=cota\)
\(1- cos^2a = sin^2a\)
So, we have:
\(\frac{1+cos^2a - sin^2a+sin2a}{ sin^2a+ sin^2a+sin2a}=cota\)
\(\frac{1+cos^2a - sin^2a+sin2a}{2sin^2a+sin2a}=cota\)
Rearrange the numerator
\(\frac{1 - sin^2a+cos^2a+sin2a}{2sin^2a+sin2a}=cota\)
\(1- sin^2a= cos^2a\)
So, we have
\(\frac{cos^2a+cos^2a+sin2a}{2sin^2a+sin2a}=cota\)
\(\frac{2cos^2a+sin2a}{2sin^2a+sin2a}=cota\)
\(sin2a = 2sina\ cosa\)
So, we have:
\(\frac{2cos^2a+2sinacosa}{2sin^2a+2sinacosa}=cota\)
Factorize:
\(\frac{cosa(2cosa+2sina)}{sina(2sina+2cosa)}=cota\)
Rewrite as:
\(\frac{cosa(2cosa+2sina)}{sina(2cosa+2sina)}=cota\)
\(\frac{cosa}{sina} = cota\)
\(cota = cota\)
2. The ramp above connects two vertical supports,
forming two similar triangles: AADE~ AABC. Side AC corresponds to which side in the other triangle?
Answer:
3. What is the length of side BC?
The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units
Side AC corresponds to which sideFor two triangles to be similar, the corresponding sides of the triangles must be in proportion
Having said that
The side AC corresponds to the side AC in the other triangle
What is the length of side BC?The length BC is calculated as
BC/9 = 25/15
Express as products
So, we have
BC = 9 * 25/15
Evaluate the products
BC = 15
Hence, the length of BC is 15 units
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Understand how to work with negative bases and negative exponents.
5^2 =
5^-2 =
(-5)^2 =
- 5^2 =
(Remember to find the base, then multiply.)
Answer:
\(Understand \: how \: to \: work \: with \: negative \: bases \\ \: and \: negative \: exponents. \\
\bold{answer - } \\ {5}^{2} = 5 \times 5 = 25 \\ {5}^{ - 2} = \frac{1}{ {5}^{2} } = \frac{1}{25} = 0.04 \\ {( - 5)}^{2} = ( - 5) \times ( - 5) = 25 \\ - {5}^{2} = ( - 5) \times ( - 5) = 25 \\ \\ \bold \purple{hope \: it \: helps \: ♡}\)
Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice
Based on the information given, the price of the zero coupon bond is $692.04.
How to solveTo calculate the price of a zero coupon bond, we need to use the following formula:
\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)
Where:
P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in yearsAlso, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.
Plugging in the values into the formula, we get:
\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)
\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)
\(\sf P = \dfrac{1000}{1.4450}\)
\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)
Therefore, the price of the zero coupon bond is $692.04.
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Click on the table(s) of values that represent a function.
Data Set 1
Data Set 2
Data Set 3
х
y
х
у
Х
у
0
- 2
-2
6
-3
6
2
4
1
6
0
3
-1
5
1
4
л
8
3
7
3
2
-2
2
-2
-8
5
7
5
6
Answer:
Data set 1
Step-by-step explanation:
Because for every x there is only one y
The data that are function are:
Data set 3 and Data set 1.
What is a function?
A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can be one-to-one or onto.
This means,
one-to-one:
For every x value, there is only one y value.
Onto:
Every element in the range of the function corresponds to at least one element in the domain of the function.
Now,
Data set 2 is not a function because we have,
x = 1 have y = 6 and 4.
Since
Different x values can have the same y value.
So,
Data set 3 and Data set 1 is a functions.
Thus,
Data set 3 and Data set 1 is a functions.
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What 3 dimensional solid will be formed by rotating the given figure around the given line of symmetry?
Answer:
option D)
Step-by-step explanation:
when a equilateral triangle is rotated about x-axis
rotating equilateral triangle about x-axis will lead to the formation of cone in.
the height of the equilateral triangle will represent height of the cone.
the base of the equilateral triangle will represent the circular base of the cone
and the slant height of the cone will represented by the sides.
hence, the correct answer will cone which is option D)
a machinist is making a gear that will pull a chain at 60 ft/min when rotating at 40 rev/min. What should the radius of the gear be? Answer in inches.
The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.
To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:
chain speed = 2 x pi x radius x rotational speed
where pi is a mathematical constant approximately equal to 3.14.
We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:
60 = 2 x 3.14 x radius x 40
Simplifying the equation, we get:
radius = 60 / (2 x 3.14 x 40)
radius = 0.2387 ft
To convert feet to inches, we can multiply the answer by 12:
radius = 0.2387 x 12 = 2.8644 inches.
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A car traveled 200 kilometers in 3 hours. If the car travels at the same average rate, how far will the car travel in 9 hours?
Answer: 600km
Step-by-step explanation:
Using the concept of proportion, with the same average rate,
3 hours -> 200 km
9 hours -> A km
Hence,
9/3 = A/200
A = 200 x 9/3 = 200 x 3
= 600
Answer: 600 km
Step-by-step explanation:
We need to apply the concept of Time speed distance here.
When speed is constant, T ∝ D
D = S*T
200 km = 3hrs
X km = 9hrs
X = 200*9/3
= 200*3
= 600km
John is comparing his workers’ production for the day. The ratios of items produced to time in hours are shown. Worker Items Production Ratio James 12 : 3
Charlie 7 : 2 Michael 14 : 2 Fred 16 : 4 Which two workers have equivalent ratios?
can 64, 58 and 58 make a right triangle?
Answer:
No
Step-by-step explanation:
In the Pythagorean theorem the sum of the 2 shortest side's squares add up to the square of the longest side (a²+b²=c²).
58²+58² = 64²
3,364+3,364 = 4,096
6,728 = 4,096
This is false so these sides can not make up a right triangle
how do i solve for m in i=pm
We have the expression
\(i=p\cdot m\)To solve it for m, we divide both sides by p:
\(\begin{gathered} i=p\cdot m \\ \frac{i}{p}=\frac{p}{p}\cdot m \\ m=\frac{i}{p} \end{gathered}\)The resulting equation is m = i/p.