hi
(y-7) (y+6) = y²+6y -7y -42
= y² -y -42
The record lowest temperature in Fraser, Colorado (which is disputedly known as the icebox of the nation) was -54°. There is a 14° difference warmer between the lowest temperature in Fraser and the lowest temperature in International Falls, Minnesota. (They also lay claim to the title of icebox of the nation.)
What was the lowest temperature recorded in International Falls?
The lowest temperature recorded in International Falls is - 40°.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, The lowest temperature in Fraser, Colorado is - 54°, and the difference between the lowest temperature in Fraser, Colorado, and the lowest temperature in International Falls, Minnesota is 14°.
There the lowest temperature recorded in International Falls is,
- 54° + 14°. (as stated warmer we put a positive sign)
= - 40°.
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Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest
Answer:
D=16m
Step-by-step explanation:
D=16t^2
D=16×1
D=16m
what is the gradient of the blue line Attachment below!!!!!!!!!!!
Answer:
-3 Or 3 it could be any one of them
Step-by-step explanation:
-3 or 3
Rise/run so an
Let f: R → R be a function. Show that: f one-to-one => f not even (Hint: try contrapositive or contradiction)
To begin with, let's recall the definition of a one-to-one function. A function f: A → B is one-to-one if every element in A is mapped to a unique element in B. In other words, no two distinct elements in A are mapped to the same element in B.
Now, let's assume that f is one-to-one and even. This means that f(-x) = f(x) for all x in R. To prove that f cannot be both one-to-one and even, we will use a proof by contradiction. Suppose f is both one-to-one and even. Then, for any x and y in R, if f(x) = f(y), we must have x = y. Now, let's consider the case when x and y are negative numbers such that x ≠ y. Since f is even, we have f(-x) = f(x) and f(-y) = f(y). However, since f is one-to-one, we cannot have f(-x) = f(-y) because x and y are distinct.Therefore, f cannot be both one-to-one and even. Alternatively, we could use the contrapositive of the statement. The contrapositive of "f one-to-one => f not even" is "f even => f not one-to-one". This means that if f is even, then it cannot be one-to-one. This is true because, as we showed earlier, if f is even, there exist distinct negative numbers that are mapped to the same value, which violates the one-to-one property. In conclusion, we have shown that if a function f is one-to-one, then it cannot be even, using either a proof by contradiction or the contrapositive of the statement.
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Use the 30-60-90 Triangle Theorem to find the length of the hypotenuse.
a = 8m
b = 8 √(3)
Answer
Step-by-step explanation:
Halp me this question
Answer:
4 inches
Step-by-step explanation:
The length sheet of paper is 11 inches
the length of pencil is 7 inches
11 inches - 7 inches = 4 inches
4 inches is the difference between the two.
Hope it helps :)
Answer:
4 inches longer
Step-by-step explanation:
Because 11-7 is 4
There are 324 fifth-graders at Tubman
Elementary School. Each student and
32 adult chaperones will ride buses
on a class trip. Each bus can seat 48
people How many buses are needed?
Explain how to interpret the remainder.
Answer:
8 buses
Step-by-step explanation:
Find the total number of people going on the trip by adding the number of students and the number of chaperones:
Total number of people = Number of students + Number of chaperones
= 324 + 32
= 356
Divide the total number of people by the capacity of each bus to find the number of buses needed:
Number of buses needed = Total number of people / Bus capacity
= 356 / 48
≈ 7.42
Since we cannot have a fraction of a bus, we must round up to the nearest whole number, which means we need 8 buses.
The remainder of the division, 0.42, represents the fraction of a bus that would be needed to transport the remaining people if we had more than 8 buses available. In this case, since we do not have a fraction of a bus, we round up to the next whole number.
What is the area of the composite figure? Enter your answer as a decimal in the box. cm2
Answer: 59.5
Step-by-step explanation:
took the test
find the gradient vector field of f. f(x, y, z) = 7 x2 y2 z2
The gradient vector field of f = 7 x² y² z² can be found as:∇f = [df/dx, df/dy, df/dz]To compute df/dx, we hold y and z constants and differentiate f with respect to x. df/dx = 14xy²z²To compute df/dy, we hold x and z constants and differentiate f with respect to y.df/dy = 14yx²z².
To compute df/dz, we hold x and y constant and differentiate f with respect to z.df/dz = 14x²y²zTherefore, the gradient vector field of f is: ∇f = [14xy²z², 14yx²z², 14x²y²z]. Let f(x, y, z) = 7 x² y² z² be a scalar field. The gradient of a scalar field f is defined as a vector function of its independent variables that gives the rate of change of the scalar field at any point in space. This gradient is denoted by ∇f. The gradient of f can be obtained by taking partial derivatives of f with respect to its variables. ∇f = [df/dx, df/dy, df/dz]To calculate the partial derivatives of f, we hold the other variables constant and differentiate with respect to the relevant variable. Hence, we have: df/dx = 14xy²z²df/dy = 14yx²z²df/dz = 14x²y²z. Hence, the gradient vector field of f is given by ∇f = [14xy²z², 14yx²z², 14x²y²z]
Therefore, the gradient vector field of f = 7 x² y² z² is given by ∇f = [14xy²z², 14yx²z², 14x²y²z].
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Find the weighted average of these values.
Value Weight
7.00 75.0%
8.00 15.0%
9.00 10.0%
By using the concept of weighted averages, the weighted average of the given values is equal to 7.35.
How to determine weighted averages?
Weighted average is a kind of average in which each element has an specific weight in contrast with uniform average, where each element has the same weight. In this problem we have three values associated to three distinct weights, whose weighted average is:
x = 0.75 · 7 + 0.15 · 8 + 0.10 · 9
x = 7.35
By using the concept of weighted averages, the weighted average of the given values is equal to 7.35.
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a security camera is mounted on the wall at a height of 9 feet. at what angle of depression should the camera be set if the camera is to be pointed at a door 45 feet from the point on the floor directly under the camera? round to the nearest tenth of a degree.
The angle of depression at which the camera is mounted on the wall is 11.31°.
Explain the term angle of depression?If the line of sight is directed downward as from horizontal line, an angle is created with the horizontal line. The angle produced between it horizontal line and also the observer's sight lines is known as angle of depression if the object being observed is below the observer's level.For the given question-
A 9-foot-tall security camera is fixed to the wall.Camera must be pointed 45 feet away from the location on the ground directly beneath it, at a door.In right angles triangle ABC, (shown in diagram)
Angle C is the angle of depression.
Applying tangent of the angle;
tan C = 9/45
tan C = 0.2
C = 11.31°
Thus, angle of depression at which the camera is mounted on the wall is 11.31°.
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What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4
Answer:
-2
Step-by-step explanation:
3n+2n+4=9n+12
5n+4=9n+12
5n-9n=-4+12
-4n=8
n=8/-4
n= -2
Answer:
-2
Step-by-step explanation:
I got this right in my assignment.
what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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Ok so this question is about scientific notation. Which isn’t hard. But the numbers given are too much for a calculator. I don’t get how to do it. Please help and please provide an explanation
Answer:
1.1 x 10^24
Step-by-step explanation:
Mass of earth: 5.97 x 10^24
Mass of venus: 4.87 x 10^24
There are 24 numbers in the mass of venus before the 4, in 4.87. So, that is why we use 10^24.
5.97-4.87=1.1
Simplify the expression 3x + 5 + x + 2 by combining like terms.
Answer:
4x + 7
Step-by-step explanation:
add the x's then regular numbers
To the nearest millimeter, a cell phone is 74 mm long and 44 mm wide. What is the ratio of the width to the length?
Answer:
compare the width to the length, or 42 mm/ 74mm
Step-by-step explanation:
A copy machine makes 207 copies in 5 minutes and 45 seconds. How many copies does it make per minute?
a tv show had 4,320,000 viewers for its season premiere. express this number using scientific notation.
Answer:
Step-by-step explanation:
See attachment
First is brainliest :) and ill leave a thanks for them. Please and thank you!
(BTW This is one question)
Answer:
D
Step-by-step explanation:
The y-intercept is the initial amount and the rate of change is the amount she saved each week so that eliminates A and B. Since the y-intercept is 20 the answer is D.
please help! solve for the value of y
Answer:
26
Step-by-step explanation:
5y-3+2y+1=180
7y-2=180
7y=182
y=26
Three six-faced fair dice are rolled. what is the probability that exactly two of the dice have the face value of 6?
The probability of exactly two dice having a face value of 6 when rolling three fair six-sided dice is 5/72.
To find the probability of exactly two dice having a face value of 6 when three fair six-sided dice are rolled, we can use the concept of combinations.
The total number of possible outcomes when rolling three dice is 6^3 = 216, as each die has 6 possible outcomes.
Now, let's determine the number of favorable outcomes where exactly two dice have a face value of 6.
We have three scenarios where exactly two dice show a 6:
The first die shows a 6, the second die shows a 6, and the third die does not show a 6.
The first die does not show a 6, the second die shows a 6, and the third die shows a 6.
The first die shows a 6, the second die does not show a 6, and the third die shows a 6.
In each scenario, the probability of rolling a 6 on one die is 1/6, and the probability of not rolling a 6 is 5/6.
Scenario 1:
Probability = (1/6) * (1/6) * (5/6) = 5/216
Scenario 2:
Probability = (5/6) * (1/6) * (1/6) = 5/216
Scenario 3:
Probability = (1/6) * (5/6) * (1/6) = 5/216
Adding up the probabilities from each scenario:
Total Probability = (5/216) + (5/216) + (5/216) = 15/216 = 5/72
Therefore, the probability of exactly two dice having a face value of 6 when rolling three fair six-sided dice is 5/72.
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When the vertex of a parabola is at its highest point it is called a ______.
It costs a flat fee of $100 to rent a water taxi, plus $15 per hour the water taxi is rented.
a. Circle any key words that can help you model this situation as a function!
b. Define your input variable, x:
15
c. Write a function, f(x), to model this scenario:
d. Find f(3). What does this value represent, in context?
e. What is the predicted cost of the water taxi, if you rent it for four hours? Express this
value in function notation.
Answer:
the answer is *a sorry if wrong
Question 2 of 5
The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
A. Yes, because 52 + 82 < 122.
B. No, because 52 + 82 + 122.
C. No, because 5+ 8 + 12.
D. Yes, because 52 + 82 = 122
SUBM
Answer:
b
Step-by-step explanation:
5^2 + 8^2 = 12^2
25 + 64 = 144
89 does not equal 144
An inspector needs to learn if customers are getting fewer ounces of a soft drink than the 28 ounces stated on the label. after she collects data from a sample of bottles, she is going to conduct a test of a hypothesis. she should use
In order to test the hypothesis of whether customers are getting fewer ounces of a soft drink than the stated 28 ounces on the label, the inspector should use a hypothesis test.
A hypothesis test is a statistical procedure used to make inferences or draw conclusions about a population based on sample data. In this case, the inspector wants to investigate if the mean number of ounces in the bottles is less than 28 ounces, which implies that customers are receiving fewer ounces than stated on the label.
The inspector should follow the steps of a hypothesis test, which include formulating the null hypothesis (H0) and the alternative hypothesis (Ha), selecting an appropriate significance level, collecting sample data, and conducting the test using statistical methods such as a t-test or z-test.
The null hypothesis (H0) would state that the mean number of ounces in the bottles is equal to 28 ounces, while the alternative hypothesis (Ha) would state that the mean number of ounces is less than 28 ounces.
By analyzing the collected sample data and conducting the hypothesis test, the inspector can assess the evidence and make an informed conclusion regarding whether customers are indeed receiving fewer ounces than stated on the label.
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Which relation does not represent a function?
Answer:
(4)
Step-by-step explanation:
one 'x' value maps to more than one 'y' value
name a point that is sqrt(2)away from (-1 5)
The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).
In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),
Using the distance formula, we can set up the following equation:
√[(x - (-1))² + (y - 5)²] = √2,
Simplifying this equation,
We get,
(x + 1)² + (y - 5)² = 2,
This equation represents a circle with center (-1, 5) and radius √2.
So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).
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0.027 x 0.008 what is the answer to that question
Answer:
the answer is around 0.000215 or 0.000216
Step-by-step explanation:
Hope this helps :D
Which category in the Excel Options dialog box contains the option to change the user name? Advanced ○General ○ Account Setings ○Trust Center
The category in the Excel Options dialog box that contains the option to change the user name is "General".
In the Excel Options dialog box, the category that contains the option to change the user name is the General category.
Excel graphing methods, Go to Insert > Line after selecting the data. The type of line chart you want may be chosen from a dropdown menu that appears when you click the icon.
We'll use the fourth 2-D line graph (Line with Markers) for this illustration. Your line graph for the chosen data series will be added by Excel.
What are the primary three graphs?
How to Use Graphs in Science
Bar, circle, and line graphs are the three most often utilized graph kinds. Each form of graph may be used to display a certain kind of data.
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can someone please help me really quickly itis due at midnight tonight.
Answer:
4 or -4 !
Step-by-step explanation:
edit... isolate the variable, so divide 5 on both sides. then take the absolute value of d which is d. therefore d = 4 or -4! it's both positive and negative because absolute value you set it equal to a positive and negative!