Answer:
[tex]15\sqrt{3}i[/tex]
Step-by-step explanation:
Negative square roots are complex numbers.
Jamie bought a notebook and a box of pencils for $5.00.The notebook cost $3.00 and there are 10 pencils in a box. The equation 3+10p=5 can be used to find the cost of one pencil.Select all equations that are equivalent.
The equations that are equivalent are B×10p = 2 and D×p = 20.
Given, For $5.00, Jamie purchased a notebook and a box of pencils.
10 pencils are contained in a box, and the notepad costs $3.00.
The price of one pencil can be calculated using the equation 3+10p=5.
According to the question:
3 ₊ 10p = 5
10p = 5 ₋ 3
10p = 2
p = 2/10
p = 0.2
equations can be :
B × 10p = 2 and D × p = 0.20
Hence we get the equations as: B × 10p = 2 and D × p = 0.20
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Tom does not really want to give away blue marbles and would like to change the probability that he chooses a blue marble to 1/10. How many marbles that are not blue could he add to the bag so that the probability of choosing a blue marble becomes 1/10?
Answer:
9
Step-by-step explanation:
if one marble is blue and 9 are other colors than its a 1/10 chance of getting a blue marble
9.
The Senior House Master of (SHS) invited the School's Volleyball players and Prefects on
duty to his office. 14 students altogether reported. 7 Volleyball players left his office, leaving
behind only the Prefects on duty. If 10 of them play Volleyball, find:
the number of students who were both prefects and Volleyball players;
those who were only Prefects.
Based on the number of students invited to the office and the number of Volleyball students who left, the number of students who were both prefects and volleyball players are 3 students.
Those who are only prefects are 4 students.
How many students are prefects?To find the number of students who were both prefects and volleyball players, the formula is
= Number of volleyball players who left + Total number of volleyball players - Number of students called to office
= 7 + 10 - 14
= 3 students
Number of students who were just prefects:
= Number of students called - Number of students who left - Number of students who are prefects and volleyball players
= 14 - 7 - 3
= 4 students
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Jayden's mass is 185kg, what is his weight?
Answer:
1814.85 N
Step-by-step explanation:
Weight = mass * acceleration of gravity
Jayden's weight = 185 * 9.81 = 1814.85 N
v=u+ at
307 80 Marks
u=2
a=-7
Work out the value of v.
t = 0.5
Help
Answer:
[tex] \sf \large \: V = -1.5[/tex]
Step-by-step explanation:
Let's solve the equation step by step,
v=u+ at
V = 2 + -7(0.5)
V = 2 + -3.5
V = -1.5
Eric teaches ceramics in his studio.he estimates that one out of every five people who call for information about a class will sign up for the class.last week he receive nine calls.find the probability that four or fewer of the people who called will sign up for a class
The probability that four or fewer of the people who called will sign up for a class = 0.9805
For given question,
Eric estimates that one out of every five people who call for information about a class will sign up for the class.
Last week he receive nine calls.
We need to find the probability that four or fewer of the people who called will sign up for a class.
Total number of calls = 9
⇒ n = 9
Since one out of every five people who call for information about a class will sign up for the class.
the probability of success (p) = 1/5
= 0.2
and the probability of failure (q) = 1 - p
= 1 - 0.2
= 0.8
To find the probability that four or fewer of the people who called will sign up for a class.
So, x would take values 0, 1, 2, 3, 4
Using Binomial principal,
For x = 0,
[tex]P(x=0)= ~^9C_0(0.2)^0(0.8)^{9-0}\\\\P(x=0)=0.13422[/tex]
For x = 1,
[tex]P(x=1)= ~^9C_1(0.2)^1(0.8)^{9-1}\\\\P(x=1)=0.30199[/tex]
For x = 2,
[tex]P(x=2)= ~^9C_2(0.2)^2(0.8)^{9-2}\\\\P(x=2)=0.30199[/tex]
For x = 3,
[tex]P(x=3)= ~^9C_3(0.2)^3(0.8)^{9-3}\\\\P(x=3)=0.17616[/tex]
For x = 4,
[tex]P(x=4)= ~^9C_4(0.2)^4(0.8)^{9-4}\\\\P(x=4)=0.06606[/tex]
So, the required probability would be,
P = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)
P = 0.1342 + 0.3020 + 0.3020 + 0.1762 + 0.0661
P = 0.9805
Therefore, the probability that four or fewer of the people who called will sign up for a class = 0.9805
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an invertible sheaf l on x is globally generated if and only if for any point p ∈ x, there is a global section of l not vanishing at p
an invertible sheaf l on x is globally generated if and only if for any point p ∈ x, there is a global section of l not vanishing at p
This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.
What do you mean by vanishing?Vanishing means to leave or cease existing, especially in an abrupt or unexpected manner.
I be a quasicompact sheaf that can be inverted. X
demonstrate the existence of an epimorphism O ⊕I/X →I
OX⊕I→I if and only if for any point p∈X
p∈X there exists a global section of I
L not vanishing at p
If there is an epimorphism, it is asserted on page 121 of Hartshorne's book O ⊕I/X→I
OX⊕I→I Afterward, a family of global parts exists
{si} i∈I
{si}i∈I of I
I such that Ip is generated by {si,}i∈I
{si,p}i∈I as O
X,p
OX,p-module for every p∈X
This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.
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if a circle passe though point (-4,2) and is tangent to the x-axis at (2,0), determine the coordinates of its center.
ILL GIVE BRAINLIEST!!!!!
Answer: 24
Step-by-step explanation:
t=seconds. h=height
t=3
h=3+55t-16t^2
h=3+55(3)-16(3)^2
h=3+165-16*9
h=168-144
h=24 ft
The ball's height 3 seconds after it was kicked is 24 feet above the ground.
Given that a formula h = 3 + 55t-16t² describes a ball's height above the ground h, which has been kicked vertically upward from a height of 3 feet with an initial speed of 55 feet per second.
We need to find the height of the ball after 3 seconds.
To find the ball's height 3 seconds after it was kicked, we can use the formula provided:
h = 3 + 55t - 16t²
where h represents the height in feet and t represents the time in seconds.
To find the height after 3 seconds (t = 3), plug the value into the formula and calculate:
h = 3 + 55(3) - 16(3)²
Now, perform the calculations step by step:
h = 3 + 55(3) - 16(9)
h = 3 + 165 - 144
h = 24 feet
Hence the required height is 24 feet.
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What is the scale factor of the dilation of figure A to figure B?
a. 2/3
b. 3/2
c. 2
d. 3
PLEASE SHOW WORK
HELP ME
Answer:
Equation: 2.50 + 3h = 13.00
Solution: h = 3.50
Step-by-step explanation:
Letting h be the cost of one hamburger:
[tex]2.50 + 3h = 13.00[/tex]
[tex]3h = 10.50[/tex]
[tex]h = 3.50[/tex]
So the cost of one hamburger is $3.50.
Find the x-intercept of the graph of y = x -2.
x-intercept:(,0)
Boris and Chip are playing a game with number cubes. They roll two cubes and subtract the two numbers. If the difference is 5, Boris wins. If the difference is 4, Chip wins. Is the game fair? Explain.
The computation shows that the game is not fair
How to illustrate the information?It should be noted that the cube had numbers 1 to 6. Therefore, the difference of 4 can be either 6-2 or 5-1 .
On the other hand, the difference of 5 will only be 6-1.
Therefore, this is not fair
In conclusion, the game is not fair.
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Solve inequality.
-2 w<24
From the inequality given by -2w < 24, w is greater than -12.
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
Solving the inequality,
-2w < 24
Making sure the unknown variable is in one side and the constants in the other side.
-2w < 24
Divide both sides by -2, the coefficient beside the unknown variable,
(-2/-2)w < 24/-2
w < -12
Note that when we multiply or divide by a negative number
we must reverse the inequality.
w < -12 ⇒ w > -12
Therefore, w is greater than -12.
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Please help i will give out brainlist
1) The converse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you do not like sea food, then you will go to an Italian restaurant"
2) The inverse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you go to an Italian restaurant, then you don't like sea food"
3) The contrapositive of "If you do no go to an Italian restaurant, then you like sea food" is; If you do not like sea food, then you will go to an Italian Restaurant"
How to Interpret Conditional Statements?1) The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "If two lines don't intersect, then they are parallel" is "If two lines are parallel, then they don't intersect." Thus, the converse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you do not like sea food, then you will go to an Italian restaurant"
2) The inverse of a conditional statement is when both the hypothesis and conclusion are negated. Thus, the inverse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you go to an Italian restaurant, then you don't like sea food"
3) The contrapositive of a conditional statement is to interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain.". Thus, the contrapositive of "If you do no go to an Italian restaurant, then you like sea food" is; If you do not like sea food, then you will go to an Italian Restaurant"
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Consider a physical pendulum with length of 94.7 cm and mass of 166 g. if the pendulum was released from an angle less than 10o, then calculate the angular speed of the pendulum. (g = 9.80 m/s2)
Angular velocity of pendulum is 3.216 rad/s.
What is angular velocity?In physics, the rotational velocity ( or ), also referred to as the angular frequency vector, is a pseudovector representation of how quickly an object's angular position or orientation varies over time (i.e. how quickly an object rotates or revolves relative to a point or axis). The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude equals the rate at which the object is rotating or revolving. Traditionally, the right-hand rule is used to specify the direction of angular motion.
Orbital and spin angular velocities are the two forms of angular velocities.
For a small angle angular velocity of the pendulum is calculated as:
ω[tex]= \sqrt{\frac{g}{l} }[/tex]
Here, g= gravity acceleration and l = pendulum's length.
Conversation of unit of length are,
l=94.7 cm = 94.7 cm * ([tex]\frac{10^{-2}m}{1cm}[/tex]) = 0.947 m
Substitute l = 0.947 m and g = 9.80 [tex]m/s^2[/tex] in the expression ω[tex]= \sqrt{\frac{g}{l} }[/tex]
ω[tex]= \sqrt{\frac{9.80m/s^2}{0.947m} } = 3.216[/tex]
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What integer does 408 need to be divided by to equal -24?
What's 59.84 ÷ 32 please show work I have test tomorrow
Maria paid $240 for a table set after a discount of 40% . What was the original price? Use Scratchpad to show at least one model to solve the problem (e.g., tape diagram, table, double number line diagram, 10×10 grid).
The original price of the table set was $400.
What exactly is a discount?Customers are given discounts by shop owners in order to increase sales. A discount is a rebate or offer created to consumers on the listed price of goods.
A product's list price or marked price is the price proclaimed by the supplier or manufacturer, excluding any price reductions.The selling cost is the real price at which an article is sold after any reductions and discounts in the list price.Discounts are frequently described using words like "off" and "reduction."Now, as per the given question;
The paid price by Maria is $240 called selling price.
The total discount on the table set was 40%.
Let us consider the original price/marked price of the table set was 'x'.
Then the formula for calculating the original price/market price is;
Marked price - discount = selling price
x - 40%of x = 240
x - (40x)/100 = 240
100x - 40x = 24,000
60x = 24,000
x = 400
Therefore, the original price of the table set was $400.
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Solve for a
11 = -3/10a + 2
Answer:
a = -30
Step-by-step explanation:
In order to solve for a in the equation [tex]\sf 11 = \dfrac{-3}{10} a + 2[/tex], we can follow these steps:
Subtract 2 from both sides of the equation:
[tex]\sf 11 -2= \dfrac{-3}{10} a + 2-2[/tex]
[tex]\sf 9 = \dfrac{-3}{10} a[/tex]
Multiply both sides of the equation by [tex]\sf -\dfrac{10}{3}[/tex]:
[tex]\sf 9 *-\dfrac{10}{3}= \dfrac{-3}{10} a*-\dfrac{10}{3}[/tex]
-30 = a
Therefore, the solution to the equation 11 a + 2[tex]\sf \dfrac{-3}{10} a + 2[/tex] is a = -30.
Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and sd = 15. what conclusion can be inferred about an individual score that corresponds to a z value of 1.0?
A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the sample mean or observed data.u is the mean.δ is the standard deviation.Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.
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Complete Question:
Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?
a.) it falls in the general region of the population
distribution
b.) it falls in the common region of the distribution
c.) it is likely to come from the healthy distribution
d.) it is unlikely to come from the healthy distribution
What are the intervals of increase and decrease for the absolute value function below?
1. Increase: x > 0, decrease: x < 0
2. Increase: x < 0, decrease: x > 0
3. Increase: y < 0, decrease: y > 0
4. Increase: y > 0, decrease: y > 0
Answer:
Step-by-step explanation:
The function interval is said to be positive if the value of the function f (x) increases with an increase in the value of x. In contrast, the function interval is said to be negative if the value of the function f (x) decreases with the increase in the value of x.
i just need help asap please
Answer:
wsg
Step-by-step explanation:
Answer:
Step-by-step explanation:
need help on what
I need help with number 3
answer:
it has a solution
if two groups of numbers have the same mean, then group of answer choices their standard deviations must also be equal. their medians must also be equal. their modes must also be equal. other measures of location need not be the same.
The correct answer is other measures of location need not be the same.
What is mean, mode, median and standard deviation?
When the group of numbers have the same mean then the other measures of location need not be the same. That means the standard deviation, median and mode should not be equal. All three widely used parameters that are mean, mode, median and standard deviation are the measure of central tendency.
If the given data has no outlier then mean value and the median value are closer to each other but the mode value is different. Similarly, standard deviation is calculated for the dispersion data. And it means when mean value is same then standard deviation will be different for a group of numbers.
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4(u 1) - 1 = 2(2u - 3)
Answer:
4u+4-1=4u-6
4u+3=4u-6
4u+9=4u
9 I think
Step-by-step explanation:
What is 82 + −71? 153 11 −11 −153
Answer:
82 + -71 = 10
Hope this helps! <3
If y varies inversely as x cubed, and y = 12 when x = 5, find the value of y when x = 2.
Answer:
187.5
Step-by-step explanation:
[tex]\sf {If \; y \; varies \; inversely \; as \; x^3\; represented \; by\; y\propto \dfrac{1}{x^3}} \\then\\y = \dfrac{k}{x^3}\; where\; k \;is\; a \;constant\\\\== > k = y\cdot x^3\\\\When y = 12, x = 5 \;means\\\\k = 12.\cdot 5^3 = 12 \cdot 125 = 1500\\\\\sfTherefore \;when\; x = 2\\y = \dfrac{1500}{2^3} = \dfrac{1500}{8} = 187.5\\\\\sf Answer:\;\; \boxed {\sf y = 187.5\; \sf when\; x = 2}[/tex]
Find the quotient for -12 ÷ (-3).
a. -9
b. 4
c. -4
Answer:
b. 4
Step-by-step explanation:
A negative number divided by a negative number is a positive number.
Therefore, -12 ÷ -3 = 4.
I need mathematical help asap
X-2x+3=3-x
Answer:
0 = 0
Step-by-step explanation:
Combine like terms: combine x and -2.
rearrange the terms on left side.
subtract 3 from both sides.
simplify (subtract -x and x)
0=0