Answer:
210 degrees-150 degreesStep-by-step explanation:
When the time is 3:40pm
The Initial Side (hour hand) is at 3.Terminal Side (Minute hand) is at 8.(a)The angle between the two hands in standard position is drawn and attached below.
(b)Now, each hour = 30 degrees
Therefore, the angle between 3 and 8 in an anticlockwise movement
= 7 X 30 =210 degrees
Stating the angle as a negative angle, we have:
\(210^\circ-360^\circ=-150^\circ\\$The angle as a negative angle is -150^\circ\)
increase 70 in ratio 3:2
Lori purchases a pair of shoes for $29.95. The sales tax is 2%. What is the total cost of the shoes?
Answer:
Step-by-step explanation:
Percentages you always multiple.
Take 2% times that by 100 and get 2
Ok, take 29.95 divide that by 2 and get 14.98 for the total cost of the shoes. That is your answer $14.98
What is the solution for this inequality?
8x<-32
Answer:
8x<-32
x<4
Step-by-step explanation:
divide both of these numbers by 8
Step-by-step explanation:
rhrufh38299917489xjqgs8cjrnjci
The diameter is 57 cm what is the radius and area write your solution below
Answer: radius: 28.5
area: 2551.76
Step-by-step explanation:
radius is always half of the diameter and area is pi(r^2)
1.A trader sold some goods for #5184 and lost 4%. Find the total cost price of the goods?
Therefore, the total cost price of the goods is #5400.
What is cost price?Cost price refers to the amount of money that is spent by a business or individual to acquire or produce a product or service. It includes all the costs involved in the production or acquisition of the product or service, such as raw materials, labor costs, transportation costs, and other expenses. The cost price is usually used as a starting point for calculating the selling price of a product or service and is an important factor in determining the profitability of a business.
by the question.
Let's assume the cost price of the goods to be "x".
According to the problem, the trader sold the goods at a price of #5184 and incurred a loss of 4%.
we know that,
selling price = cost price - loss
Substituting the given values in the above formula, we get:
#5184 = x - 0.04x
Simplifying the equation, we get:
#5184 = 0.96x
Dividing both sides by 0.96, we get:
x = #5400
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The equation (-2) (6x - 5)
The integer solution is
The fraction solution is
Submit Question
0 has two solutions. One is an integer, the other is a fraction.
Answer:
Step-by-step explanation:
Givens
(x - 1)(6x - 5) = 0
Solution
Either one of these can be made into 0 by solving the binomials in the brackets.
x - 2 = 0 Add 2 to both sides
x -2 +2= 0+2 Combine
x = 2
6x - 5 = 0 Add 5
6x -5+5 = 0+5 Combine
6x = 5 Divide by 6
6x/6=5/6
x = 5/6
Answer
Integer Answer: x = 2
Fractional Answer x = 5/6
(3w^2 + 7W + 2) + (w^2 + 2W + 8)
Answer:
4w^2+9w+10
Step-by-step explanation:
(3w^2+7w+10+w^2+2W
Combine like terms
4w^2+7w+10+2w
Combine like terms
4w^2+9w+10
Answer:
4w^2+9w+10
Step-by-step explanation:
Write an equation of the line in slope
Answer:
See below.
Step-by-step explanation:
I am assuming you're asking for slope-intercept form.
First, find the slope. The two points they give us are (-1,3) and (0,4).
4-3=1
0-(-1)=1
The slope is 1/1, or 1.
Then find the y-intercept. In this case, it's 4.
The formula for slope-intercept form is y=mx+b. m is slope, and b is y-intercept.
y=1x+4, or y=x+4.
-hope it helps
A cake recipe calls for the following dry ingredients: 3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa. To the nearest cup, how much dry ingredients will be used?
HELO
The amount of dry ingredients used in the cake recipe is approximately 7 cups.
We have,
3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.
Now, first convert all quantity in same unit.
3 ½ cups of flour
= 3 cups + 0.5 cups
= 3 cups and 8 ounces.
and, 2 ⅔ cups of sugar
= 2 cups + 0.67 cups,
= 2 cups and 10.72 ounces.
and, 1 ¾ cups of cocoa
=1 cup + 0.75 cups
= 1 cup and 12 ounces.
So, the total amount
= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces
= 7 cups
Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.
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Use a t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed.
Claim: μ ≥8 300, α = 0.10
Sample statistics: x = 8000, s = 440, n = 24
A. What are the null and alternative hypotheses?
B. What is the value of the standardized test statistic?
C. What is the p-value?
D. Decide whether to reject or fail to reject the null hypothesis.
Answer:
A
The null hypothesis is \(H_o : \mu \ge 8300\)
The alternative hypothesis is \(H_a : \mu < 8300\)
B
\(t = -3.34\)
C
\(p-value = P(t< -3.34) = 0.00041889\)
D
reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 8300\)
The sample mean is \(\ = x = 8000\)
The standard deviation is \(s = 440\)
The sample size is \(n = 24\)
The level of significance is \(\alpha = 0.01\)
The null hypothesis is \(H_o : \mu \ge 8300\)
The alternative hypothesis is \(H_a : \mu < 8300\)
The test statistic is mathematically evaluated as
\(t = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }\)
=> \(t = \frac{8000- 8300 }{ \frac{440}{\sqrt{24} } }\)
=> \(t = -3.34\)
The p-value is obtained from the z -table ( reference calculator dot net ) , the value is
\(p-value = P(t< -3.34) = 0.00041889\)
Looking at the values of \(p-value and \ \alpha\) we see that \(p-value < \alpha\) Hence we reject the null hypothesis
According to the diagram, a 13-foot ladder leans against a 12-foot wall. The distance from the base of the wall is 5 feet. Based on this information, which trigonometric ratio has the value of 12/5
Answer:
Tangent
Step-by-step explanation:
if the angle in question is the bottom of the ladder and the ground, then tangent is opposite over adjacent... or 12/5
Hope this is right
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
find the percentage decrease if a players batting average dropped from 0.273 to 0.265 in one season.
Answer:
\(\huge\boxed{2.93\%}\)
Step-by-step explanation:
Calculate the difference:
\(0.273-0.265=0.008\)
Calculate the ratio:
\(\dfrac{0.008}{0.273}=\dfrac{0.008\cdot1000}{0.273\cdot1000}=\dfrac{8}{273}\)
Convert to percentage:
\(\dfrac{8}{273}=\dfrac{8}{273}\cdot100\%=\dfrac{800}{273}\%\approx2.93\%\)
Use the Distributive Property to simplify
1/7 x (56 - 1/4)
Answer:
7.96428571429
Step-by-step explanation:
Round you the nearest number.
2. Evaluate (5+5√3i)^7 using DeMoivre’s theorem.
Write your answer in rectangular form.
Using DeMoivre’s theorem, the answer in regular form would be (5 + 5√3i)⁷ = -5000000 + 8660254.03i
How do we Evaluate (5+5√3i)⁷ using DeMoivre’s theorem?The De Moivre's Theorem is used to simplify the computation of powers and roots of complex numbers and is used in together with polar form.
Convert the complex number to polar form. The polar form of a complex number is z = r(cos θ + isin θ),
r = |z| magnitude of z
it becomes
r = √((5)² + (5√3)²) = 10
θ = arg(z) is the argument of z.
θ = atan2(b, a) = atan2(5√3, 5) = π/3
(5 + 5√3i) = 10 × (cos π/3 + i sin π/3)
De Moivre's theorem to raise the complex number to the 7th power
(5 + 5√3i)⁷
= 10⁷× (cos 7π/3 + i sin 7π/3)
= 10⁷ × (cos 2π/3 + i sin 2π/3)
Convert this back to rectangular form:
Real part = r cos θ = 10⁷× cos (2π/3) = -5000000
Imaginary part = r sin θ = 10⁷ × sin (2π/3) = 5000000√3 = 8660254.03i
∴ (5 + 5√3i)⁷ = -5000000 + 8660254.03i
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Answer:10^7 (1/2 - √3/2 i)
Step-by-step explanation:
To use DeMoivre's theorem, we first need to write the number in polar form. Let's find the magnitude and argument of the number:
Magnitude:
|5 + 5√(3i)| = √(5^2 + (5√3)^2) = √(25 + 75) = √100 = 10
Argument:
arg(5 + 5√(3i)) = tan^(-1)(√3) = π/3
So the number can be written in polar form as:
5 + 5√(3i) = 10(cos(π/3) + i sin(π/3))
Now we can use DeMoivre's theorem:
(5 + 5√(3i))^7 = 10^7 (cos(7π/3) + i sin(7π/3))
To simplify, we need to find the cosine and sine of 7π/3:
cos(7π/3) = cos(π/3) = 1/2
sin(7π/3) = -sin(π/3) = -√3/2
Explanation:
So the final answer in rectangular form is:
10^7 (1/2 - √3/2 i)
Complete this puzzle using each of these numbers only once : 2, 4, 5, 7, 8, 11, 13, 14, 16 Put the even numbers in the squares and the odd nurmbers in the circles. Each row of three numbers must add up to 26.
Here is one solution to the puzzle:
Squares: 2, 8, 16
Circles: 5, 7, 14
Total: 26
You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.
What are even and odd numbers?An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.
Therefore, the correct answer is as given above
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In which of the following is y a function of x?
Answer:
b is the correct answer for this question
Hi can you guys help me pls thanks!
what you need help woth owo
Hellllllllppppppppppppppppppppppp
Answer:
All of the degrees add up to 90. Therefore, right angle.
What is 25% of $40? Explain.
Answer:
10
Step-by-step explanation:
25% of $40 = \(\frac{25}{100}\) × \(\frac{40}{1}\) \(\frac{25}{100}\) × \(\frac{40}{1} = \frac{1000}{100}\) \(\frac{1000}{100} = \frac{10}{1} = 10\)I hope this helps!
Plz help I'll give brainliest.
Answer:
x=80°
Step-by-step explanation:
Straight line=180°
therefore,
180=2x-30+50
minus 50 on both sides
130=2x-30
plus 30 on both sides
160=2x
divide 2 on both sides
x=80
Answer:
m∠A = 130
Step-by-step explanation:
Here, In a given figure
m∠A = 2x - 30°
Now, we know that the sum of all angle is 180° on a straight line
So,
2x - 30° + 50° = 180°
2x + 20° = 180°
2x = 180° - 20°
2x = 160°
x = 160° ÷ 2
x = 80°
Here, we get the value of x is 80°
Now,
m∠A = 2x - 30°
m∠A = 2(80°) - 30°
m∠A = 160° - 30°
m∠A = 130
Thus, m∠A = 130
-TheUnknownScientist
Can you help with me with question 3.
The experimental probability of tossing a 3 is 22% ( option D).
Experimental probability, which is also known as Empirical probability, is based on actual experiments and adequate recordings of the occurring of events. An experiment can be repeated a fixed number of times and each repetition is known as a trial. The formula for the experimental probability is defined by;
Probability of an Event P(E) = Number of times an event occurs / Total number of events
From the table it is visible that the occurrence of tossing 3 is 11 times.
So by the definition of experimental probability the possibility is 11/50
As the table given is the result for tossing a number cube 50 times.
In 50 times the possibility is 11
In 1 time the possibility is 11/50
In 100 times the possibility is (11×100)/50
= 22
Hence, the experimental probability of tossing a 3 is 22%.
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What does point A represent in this box plot?AЧ0 2 4 6 8日10 12 14 16 18 20 22 24OA.the first quartileOB.the third quartileOC.the smallest valueOD.the largest value
As earlier discussed, a boxplot is a standardized way of displaying the distribution of data based on a five number summary (“minimum”, first quartile (Q1), median, third quartile (Q3), and “maximum”).
The first and last points are the outliers representing the minimum and maximum points.
The point to the left is the minimum point and the point to the right is the maximum point.
Therefore, the point A is the smallest value.
OPTION C is correct.
A file that is 278 megabytes is being downloaded. If the download is 19.9% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
55.3
Step-by-step explanation:
19.9% of 278 = 55.322
55.322 rounded to the nearest tenth = 55.3
Answer:55.3
Step-by-step explanation:
Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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The question is in the picture but please help pls pls pls pls
The average rate of change of f(x) = x² + 4x - 15 from x = -3 to x = 6 is given as follows:
7.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The outputs of the function are given as follows:
f(-3) = (-3)² + 4(-3) - 15 = -18.f(6) = (6)² + 4(6) - 15 = 45.Hence the change is of:
45 - (-18) = 63.
The change in the inputs is of:
6 - (-3) = 9.
Hence the rate is of:
63/9 = 7.
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Create an equation that can be used to represent the total number of pages , y , that Latrell reads in x hours .
Answer:
Y=60x
Step-by-step explanation:
The wheel on a scooter completes 124 revolutions and travels 22.4 meters. What is the diameter of the wheel in mm? Use 3.14 for pi and round to the nearest whole millimeter.
If wheel on a scooter completes 124 revolutions and travels 22.4 meters then diameter of the wheel is 57 mm
Each revolution of the wheel covers a distance equal to the circumference of the wheel.
The diameter of the wheel "d".
The distance covered in 124 revolutions is:
distance = 124 x circumference
= 124 x pi x d
= 124 x 3.14 x d
We know that this distance is equal to 22.4 meters, so we can set up an equation:
124 x 3.14 x d = 22.4
Simplifying and solving for d:
d = 22.4 / (124 x 3.14)
d = 0.057 meters
As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters
d = 57 millimeters
Therefore, the diameter of the wheel is approximately 57 mm.
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What type of angle is angle M?
A. Acute
B. Right
C. Straight
D. Obtuse
right
L shaped angles are right angles
Acute angles are angles below 90 degrees, so think of a really skinny V shape
Obtuse angles are over 90 degrees, so wider than an L
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The Spanish Club sells hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale the price was reduced by 25% How much is the price of the pretzel being reduced by? Round your answer to the nearest cent (hundredths place)
Answer: 1.50
Step-by-step explanation:
Answer
25% of 2.00$ is 50 cents
Step-by-step explanation: