Answer:
-6.34
Step-by-step explanation:
If you used a number line, it'll help! Start at 2.56, and go back (to the left) 8.9, and you will arrive at -6.34
Bob starts off with a certain amount of oranges. After giving three away, he now has seven. How many oranges did bob start with?
A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?
Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.
To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.
First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.
The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.
Using the Pythagorean theorem, we have:
x^2 + (width of the river)^2 = PR^2
Since the width of the river is not given, we'll represent it as w. Therefore:
x^2 + w^2 = 400^2
Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.
Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.
To find the total distance, we add up the distances:
Total distance = QP + PR + RQ
= x + 400 + x
= 2x + 400
For more suchy questions on distance visit:
https://brainly.com/question/28551043
#SPJ8
WILL GIVE BRAINLIST!!
What is the value of n? enter your answer in the box
n= ——- cm
Therefore , the solution of the given problem of circle comes out to be
n =4 for the length of chord.
Define circle.Each spot that is a certain distance from that other point in the plane forms a circle (center). As a result, it is a curve composed of vertices that are isolated from one another in the plane by a specific distance. Furthermore, it is axis of rotation symmetric about the center at all angles. The circle's enclosed, two-dimensional plane has every pair of endpoints uniformly separated from the "center." Draw a line thru the circle to create a circular symmetry line. Additionally, at every angle, it rotates equally about the center.
Here,
Given :
2 cords AB & CD can intersect at point P,
according to the following theorem:
|AP| |PB| = |CP| |PD|
We obtain
=>(n-2) x 16 = 8x (n+8)
using the theory of intersection between two cords.
Use the following formula:
=>16n+32 = 8n +64
=>8n -32 = 0
=>8n=32.
8 divided by both sides.
n = 32/8
n = 4
Consequently, n has a value of 4.
Therefore , the solution of the given problem of circle comes out to be
n =4 for the length of chord.
To know more about circle visit:
https://brainly.com/question/29142813
#SPJ1
Ms.Phillips wrote a test. part A had true/false questions, each worth 6points. B had mutilple choice questions, each worth 8 points. she made the number of a points for a part A equal the number of points for B. it was the least number of points for which this was possible. 1] how many points was each part worth 2] how many questions did part A have 3]how many questions did part B have
please help
Answer: ( . = multiplication sign)
1. 24
2. 4 questions
3. 3 questions
Step-by-step explanation:
1. You first need to find how many points each part was worth. To do this, you need to find the lowest common multiple for 6 and 8. The lowest common multiple is 24.
2. Part A has questions that were each worth 6 points so, you need to find the value of X in this equation: X . 6 = 24 .
The value of X is 4.
3. Part B had questions that were 8 points each so you need to find the value of X in this equation: X . 8 = 24 .
X = 3
Determine the intercepts of the line.
Do not round your answers.
3x + 2y = 5
Y=0
X=0
Answer:
Step-by-step explanation:
X axis intercept (y=0)
3x+2(0)=5
3x=5
x=5/3
Y axis intercept (x=0)
3(0)+2y=5
2y=5
y=5/2
so, the interception points are: (5/3,0) and (5/2,0)
ASAP!!
what is the polar form of -2sqrt3 -6i?
Answer:
D on edge
Step-by-step explanation:
2020
Answer:
D
Step-by-step explanation:
Ed2021
What is the value of FC?
A. 63
B. 4
C. 6
D. 9
Answer:
6
Step-by-step explanation:
Isosceles triangle is the triangle in which two sides of the triangle are congruent.The altitude from the top of an isosceles triangle bisects the base into two equal parts. The value of side FC is 12.
Given-
In triangle ADE side AE and the side DE are congruent.
The other side AD is the base of the triangle.
The triangle ADE is the isosceles triangle. For the isosceles triangle we know that the two sides are equal. In triangle ADE side AE and the side DE are congruent. the other side AD is the base of the triangle. The altitude form the top of an isosceles triangle bisects the base into two equal parts. thus the value of CD and AC is equal. Thus,
\(AC=CD\)
In the question the value of CD is twelve units. Thus,
\(AC=12\)
Hence the side AC is 12 units.
Now in triangle ABC side AB and the side BC are congruent.
The other side AC is the base of the triangle. The altitude form the top of an triangle ABC bisects the base AC into two equal. FC are 1/2 of the side AC. therefore,
\(FC=\dfrac{AC}{2}\)
\(FC=\dfrac{12}{2}\)
\(FC=6\)
Hence, the value of side FC is 12 units.
For more about the triangle follow the link below-
https://brainly.com/question/25813512
(Geometry)
If you were in a hot air balloon 500 m over Lady Bird Lake, at what angle of depression would you look at a point on the ground 800 m
horizontally from the balloon?
ROUND TO THE NEAREST WHOLE DEGREE
Answer:
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
What value will make the equation true?
-2.1 - ?= -1
A 3.6
B
0.6
C -0.6
D
-3.6
Answer:
the answer is -1
Step-by-step explanation:
-2.1 - (-1) = -1.1
Find the Interquartile Range (IQR) of the data set.
5, 2, 3, 4, 7, 9, 8, 10, 12, 8, 7
Answer:
5
Step-by-step explanation:
Vicki earns $30 for washing 6 cars. If Vicky charges the same rate, how many cars. must she wash to earn $35? (Label your answer for full credit)
Answer:
7
Step-by-step explanation:
if she got 30 from 6 cars then 30/6 is 5. $5 per car times 7 is $35
whats the missing side lengths!
5??????????????????????
Answer:
x = y = 4.24
Step-by-step explanation:
sin45 = x/6
x = 6(sin45) = 4.24
y = 6(cos45) = 4.24
Because this is a 45-45-90 isosceles triangle, x=y
At times, latitudes with values higher than ________ degrees can have ~ 24 hours of continuous sunshine.
At times, latitudes with values higher than 66.5 degrees can have ~ 24 hours of continuous sunshine.
Locations above the Arctic Circle (north of latitude 66.5 degrees, 90 degrees minus the tilt of the Earth's axis) are exposed to 24-hour sunlight. Below the Arctic Circle (latitude 66.5 degrees south), there is 24-hour darkness.
When at the equator, the sun is directly above – at the poles, the sun is on the horizon. However, regardless of the current location (from the pole to the equator), all parallels are bisected, so we have 12 hours a day and 12 hours a night in all locations.
Learn more about latitudes here: https://brainly.com/question/1939015
#SPJ4
I need help with question 5 find m
Answer:
\(m\angle V = 156\textdegree\)
Step-by-step explanation:
First, we can solve for x using the fact that opposite interior angles of a parallelogram are congruent (and therefore their measures are equal).
m∠Y = m∠W
↓ plugging in the given values
10x - 27 = 2x + 29
↓ subtracting 2x from both sides
8x - 27 = 29
↓ adding 27 to both sides
8x = 29 + 27
↓ simplifying
8x = 56
↓ divide both sides by 8
x = 7
Now, we can find the m∠Y:
m∠Y = (10x - 27)°
m∠Y = 10(7)° - 27°
m∠Y = 70° - 27°
m∠Y = 42°
m∠W = m∠Y = 42°
Using m∠Y and m∠W, we can solve for m∠V and m∠X because we know that they are also congruent.
\(m\angle V = \dfrac{360\textdegree - 2(42\textdegree)}{2}\)
\(m\angle V = \left(\dfrac{312}{2}\right)\textdegree\)
\(\boxed{m\angle V = 156\textdegree}\)
is it possible for her to find an initial input that will get a final output of −5? if so, show how she could do that. if not, explain why not.
(a) h(x) is the input for g(x).
(b) For x = 6 in h(g(x)), the final output will be -5.h(x) is the input for g(x).
(a) Angelina has two machines and she has to arrange them in order so that the output of one becomes the input of the other function machine. She is using a beginning input of 6.
g(h(x)) = \(\sqrt{x^2 - 6 -5}\)
= \(\sqrt{x^2 - 11}\)
g(h(6)) = \(\sqrt{6^2 - 11}\)
g(h(6) = \(\sqrt{36 - 11}\)
= \(\sqrt{25}\) = 5
We get the output as 5. Therefore, to get the final output of 5, the machines will be put in the order g(h(x)). If she uses the beginning input of 6, she will have to give this input to machine h(x) first, and then h(x) will be given as an input to machine g(x).
(b) It is not possible for g(h(x)) = \(\sqrt{x^2 - 11}\) to give an output of -5, because its value will always be non-negative for any x. Now, let's see h(g(x)).
h(g(x)) = \((\sqrt{x - 5})^2\) - 6
= x - 5 - 6
= x - 11
The result will be a non-constant linear function, so its value can be any real number, which means it can be -5 as well including -5. To see at what value of x, this will give an output of -5, we will equate this to -5.
x - 11 = -5
x = 6
Therefore,
(a) h(x) is the input for g(x).
(b) For x = 6 in h(g(x)), the final output will be -5.
To learn more about arranging functions in order;
https://brainly.com/question/28241950
#SPJ4
The complete question is "Angelica is working on function machines. She has two machines g(x)=square root x-5 and h(x)= x^2-6. she wants to put them in order so that the output of the first machine becomes the input of the second. she wants to use a beginning input of 6.
a) in what order must she put the machines to get a final output of 5?
b)is it possible for her to get a final output of -5? if so, show how she could do that. If not explain why not. "
A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. elena calculated the volume of the pyramid as shown. v = 1 3 bh v = 1 3 (80)(15) v = 400 in.3 what was her mistake? elena used the wrong units. elena incorrectly used the slant height instead of the height. elena multiplied incorrectly. elena should not have multiplied by one third.
Answer:
Elena incorrectly used the slant height instead of the height.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i got it right
how to calculate p(a and b)
To calculate P(A and B), you need to use the formula for the probability of two events occurring together.
The formula is:
P(A and B) = P(A) x P(B | A) Where P(A) is the probability of event A occurring, and P(B | A) is the probability of event B occurring given that event A has already occurred.
How to calculate P(A and B)1. Determine the probability of event A occurring. This will be your P(A) value.
2. Determine the probability of event B occurring given that event A has already occurred. This will be your P(B | A) value.
3. Multiply P(A) and P(B | A) together to get P(A and B). For example, let's say that event A is rolling a 6 on a six-sided die, and event B is flipping a coin and getting heads. The probability of event A occurring is 1/6, and the probability of event B occurring given that event A has already occurred is 1/2.
So:
P(A and B) = P(A) x P(B | A) P(A and B) = (1/6) x (1/2) P(A and B) = 1/12
So the probability of both events occurring together is 1/12.
Learn more about probability at
https://brainly.com/question/14210034
#SPJ11
Find the 27th term. -21, -14, −7, 0, 7, ... 27th term = [ ? ]
Answer: the term 27 ; a27=a1+(n-1)d. a27=38+(27-1)(-7)
Step-by-step explanation:
Given a1=38,a17=-74. a17=a1+(n-1)d. =38+(17-1)d. -74=38+16d. -74-38=16d. -112=16d. d= -7. the term 27 ; a27=a1+(n-1)d. a27=38+(27-1)(-7).
Answer: 7
Step-by-step explanation: number adds up by 7
Question 6 of 35
At the beginning of the day, the sum of the stocks in the Dow Jones was
$26,111.98. At the end of the ay, the sum of the stocks in the Dow Jones
was $25,972.44. What was the rate of change of the Dow Jones on this day?
O A. -5,3%
-
O B. 5.3%
O c. -0,53%
O D. 0.53%
Answer: its a
Step-by-step explanation:
i got the test all right trust me :)
hope it helped
Sara is a social worker at an inner city public school. She has worked with 200 high school students on improving their study skills. She wants to see if their grades increased. The grade point averages are:
Sara, as a social worker at an inner-city public school, has worked with 200 high school students to improve their study skills.
You'll assist people in finding answers to their difficulties as a social worker.
This could involve supporting people to live independently or shielding vulnerable persons from injury or abuse.
You will interact with clients, their families, people in the immediate vicinity, and a variety of clientele, including the elderly.
Sara, as a social worker at an inner-city public school, has worked with 200 high school students to improve their study skills.
Now, she wants to determine if their grades have increased. To do this, she should analyze the grade point averages (GPAs) of the students.
Know more about social worker here:
https://brainly.com/question/24715864
#SPJ11
translate and solve: 6 fewer than s is no less than −78. (write your solution in interval notation.)
When 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)
Interval notation is a way of writing subsets of the real number line
Given,
6 fewer than s is no less than -78
6-s < -78
Move 6 to right hand side
-s < -78-6
-s < -84
s > 84
Then the interval notation is (84,∞)
Hence, when 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)
Learn more about Interval notation here
brainly.com/question/16768997
#SPJ4
Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
Learn more about prime factorizations:
https://brainly.com/question/1081523
#SPJ1
Please help me I am really confused and need help with this.
Answer:
Step-by-step explanation:
y=10
handle the missing values using the simple mean imputation strategy. how many missing values are replaced? what are the means of x1, x2, and x3?
From the given information provided, the means of x₁, x₂, and x₃ are 158.28, 41.3, and 43.75 respectively.
a. Handle the missing values using omission strategy:
The omission strategy involves removing any observation with missing values.
The resulting table after the omission strategy is as follows:
Obs x₁ x₂ x₃
1 248 3.5 3.8
2 55 150 74
3 196 4.5 32
4 134 6.2 63
We can see that one observation with missing values was removed, which was observation 5.
b. Handle the missing values using simple mean imputation strategy:
The simple mean imputation strategy involves replacing the missing values with the mean of the non-missing values.
The means of x₁, x₂, and x₃ are calculated as follows:
mean of x₁ = (248 + 55 + 196 + 134) / 4 = 158.25
mean of x₂ = (3.5 + 150 + 4.5 + 6.2) / 4 = 41.3
mean of x₃ = (3.8 + 74 + 32 + 63) / 4 = 43.75
The resulting table after the simple mean imputation strategy is as follows:
Obs x₁ x₂ x₃
1 248 3.5 3.8
2 55 150 74
3 196 4.5 32
4 134 6.2 63
5 158.25 41.3 43.75
We can see that all missing values were replaced, which were x₁ in observation 5 and x₃ in observation 3.
Question - The following table contains 3 variables and 5 observations including some missing values x₁ x₂ x₃ 248 3.5 3.8 55 150 74 196 4.5 32 134 6.2 63 a. Handle missing values using omission strategy. b. Handle missing values using simple mean imputation strategy. How many missing values are replaced? What are means of x₁, x₂, and x₃?
Learn more about mean here: brainly.com/question/20118982
#SPJ4
A store has 2 separate displays of color markers. There are 16 sets of color markers in each display. There are 14 markers in each set. What is the total number of markers on display?
Answer:
The total number of markers on display is 448 markers.
Step-by-step explanation:
Given;
number of sets of color markers in each display, = 16
number of markers in each set, = 14
The number of markers in a single display = 16 x 14 = 224 markers
The total number of markers on the 2 display is = 2 x 224 markers = 448 markers.
Therefore, the total number of markers on display is 448 markers.
A park has a sandbox in a shape of a quadrilateral. Christian wants to create a smaller sandbox at his backyard
having the same angles as the park sandbox.
(Drawings of both sandboxes are shown above)
What is the perimeter, in feet (ft), of Christian's sandbox?
The perimeter of Todd’s sandbox is; 20.8 feet.
Applying the similarity of triangles.
Consider 'x' and 'y' be the two unknown sides of triangle.
14/ x = 20/8 = 18/y
14/ x = 20/8
x = 14*8 / 20
x = 5.6
20/8 = 18/y
y = 18*8 / 20
y = 7.2
Perimeter of Todd’s sandbox,
= x + y + 8
= 5.6 + 7.2 + 8
= 20.8
Thus, the perimeter of Todd’s sandbox is 20.8 feet.
To know more about the similarity of triangles, here;
brainly.com/question/14285697
#SPJ1
HELP PLEASE ME WITH BOTH OF THESE
0.9 3/4 and 15/3
Hope this helps :D
and what do you mean by BOTH of there?
there is only one question
From:kennyAnswer:
0.90, 3/4, and im not sure about 15/3
Step-by-step explanation:
0.45 = 45% so anything above 0.45 is correct. 0.400 and 0.40 are less than 45%
3/4 would be 75% so that is greater
hope i helped a bit!!
1. The equation, 687.5 = 550(1 + 0.05t), represents the amount of money earned on a simple interest savings account. What does the value 550 represent?
The value 550 represents the initial balance in the account, which means the account started with $550.
The value 550 represents the final balance in the account, which means the account balance ended with $550.
The value 550 represents the final balance in the account, which means the account balance started with $550.
The value 550 represents the amount of interest earned, which means $550 was added to the initial balance.
2. A savings account is opened with an initial deposit of $425.00. Determine the account balance after 9 years if the account earns 2.7% simple interest annually.
$3,928.28
$1,457.75
$528.28
$103.28
3. An arithmetic sequence begins with 56, 59, 62, 65, 68, …
Which option below represents the formula for the sequence?
f(n) = 56 + 3(n − 1)
f(n) = 53 + 3(n − 1)
f(n) = 56 + 3(n)
f(n) = 53 + 3(n + 1)
4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account. Solve for r.
r = 0.04
r = 0.14
r = 0.26
r = 0.40
Answer:
Answers below
Step-by-step explanation:
1. The value 550 represents the initial balance in the account, which means the account started with $550.
2. 528.28
425.00 x 2.7% x 9 = 103.275
Then we add 103.275 to the initial deposit of $425.00
425.00 + 103.275 = 528.275
Therefore the answer is $528.28
3. The answer for this one is f(n) = 56 + 3(n − 1)
So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is \(a_{n} =a_{1} +d(n-1)\)
Therefore, its 56 + 3(n − 1)
4. For this one we solve for r and using a calculator its r = 0.04
The value of r from the given equation is 0.04. Therefore, option A is the correct answer.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
1) The given equation is 687.5=550(1+0.05t)
Here, amount=$687.5, principal (initial balance)=$550 and rate of interest =0.05×100 =5%
So, the value 550 represents the initial balance in the account, which means the account started with $550.
2) Given that, principal=$425.00, time period=9 years and rate of interest=2.7%
We know that, S.I=(P×T×R)/100
= (425×9×2.7)/100
= 103.275
Amount=103.275+425
= 528.275
≈ $528.28
3) The given arithmetic sequence is 56, 59, 62, 65, 68,.…
Here, first term (a)=56 and common difference=59-56=3
We know that, general form of arithmetic sequence is aₙ=a+(n-1)d
Now, f(n)=56+(n-1)3
4) The given equation is 816=600(1+9r)
1+9r =816/600
1+9r =1.36
9r=0.36
r=0.04
The value of r from the given equation is 0.04. Therefore, option A is the correct answer.
To learn more about the simple interest visit:
https://brainly.com/question/25845758.
#SPJ2
the value of a certain stock increased by 1 and (1/4)%. Explain how to write 1 1/4 percent as a fraction in simplest form
Answer
1.25% expressed in fractions is (1/80).
Explanation
We need to express
\(1\frac{1}{4}\text{ percent in fractions}\)1 (1/4)% = 1.25%
1.25% = (1.25/100)
\(\begin{gathered} \frac{1.25}{100} \\ \text{Multiply numerator and denominator by 100} \\ \frac{1.25}{100}=\frac{125}{10000} \\ \text{Divide numerator and denominator by 125} \\ \frac{125}{10000}=\frac{1}{80} \end{gathered}\)Hence, 1.25% expressed in fractions is (1/80).
Hope this Helps!!!
Lucy graphed the equations x + 9 y = 5 and 4 x + 15 y = negative 1 and saw that they intersected at the point (–4, 1) as shown.
On a coordinate plane, 2 lines intersect at (negative 4, 1).
What can Lucy conclude?
(–4, 1) is a solution to the system of linear equations.
(–1, 4) is a solution to the system of linear equations.
(1, –4) is a solution to the system of linear equations.
(4, –1) is a solution to the system of linear equations.
Answer: A
Step-by-step explanation:
You can solve a system of equations by graphing, elimination, substitution, or using a combination. The graph of a linear equation is a line. The point(s) where one line intersects another is the solution to the system. Therefore, since Lucy found that the lines intersected at the point (-4, 1), it is the solution to the system of linear equations
Answer:
a
Step-by-step explanation:
(–4, 1) is a solution to the system of linear equations.