Answer:
y = 155
Step-by-step explanation:
6x + 1 = 2x + 17
x = 4
2 · 4 + 17 + y = 180
y = 155
I hope that this helps!!
Your friend has x blueberries. You have 19 blueberries. You and your friend have a total of 48 blueberries. Which equation can you use to find x?
Answer:
48-19=x
Step-by-step explanation:
if you subtract those you get 29
50 POINTS HELP PLS
what is the equation in point slope form of the line passing through (-3, -4) and (0,2)
Answer:
this the answery=x/3+2
I need help please....
Answer:
1/10
Step-by-step explanation:
Answer:
3/10
Step-by-step explanation:
I’ll mark brainliest
Answer:
D
Step-by-step explanation:
Hi there!
We're given the equation y=-75x-50, which represents a submarine DESCENDING towards the ocean floor, where y is the depth in feet, and x is the number of minutes the submarine is descending
Since the submarine is DESCENDING, we can immediately eliminate A and C, which talk about the submarine ASCENDING
That leaves B and D
Looking at the given equation, y=-75x-50, -75 is the slope, or rate of change, and -50 is the y intercept, or the "beginning" (where the equation will "start")
Therefore, the submarine will start at -50 feet, or 50 feet below sea level
As x is the number of minutes the submarine is descending, that means that if the submarine travels 1 minute, it will descend 75 feet (-75*1=-75), at 2 minutes, it'll descend 150 feet (-75*2=-150), and so on
So that means the submarine must be descending at a rate of 75 feet per minute
Therefore D is the correct answer
Hope this helps! Good luck on your assignment :)
find the radius of a circle with a circumference of 47.1 Ft
R 7.496 approximately 7.5 feet
1) Since a circumference is calculated by this formula:
\(\begin{gathered} C=2\pi R \\ \end{gathered}\)2) Then we can plug that into the formula:
\(\begin{gathered} C=2\pi R \\ 47.1=2\pi R \\ \frac{47.1}{2\pi}=\frac{2\piR}{2\pi} \\ R\text{ =7.496} \end{gathered}\)So the Radius is approximately 7.496 ft
a) angle of line of From a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three figure bearings? A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point. (b) How far is the boy now from the start- ing point? A boy runs 200 m on a bearing of 230°.
a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$
\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}
100 sin 35° = 80 sin 55°=57.73 mT
herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.
Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.
To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.
Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.
Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.
To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.
(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus
:$$c^2 = a^2 + b^2$$
where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$
c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$
Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.
Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$
Therefore, the bearing of the boy's current position from the starting point is N51°E.
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If 6 more than the product of a number and - 2 is greater than 10, which of the following could be that number?
Answer:
-2x + 6 > 10
Step-by-step explanation:
Let the unknown number be x
the product of x and -2 is -2x
6 more than -2x is written as
-2x + 6
if the result of the above is greater than 10, then
-2x + 6 > 10
HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 7.9
Step-by-step explanation:
\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)
please I need help with this
A. The following are sets A and B:
A = {2, 3, 5, 7, 11}
B = {1, 2, 3, 4, 6, 12}
C. Elements not in A or A' = ∅
B. The Venn diagram is attached
How to solve sets?A universal set is a set which consists of all elements related to the given sets. It is denoted by U.
A. Set A:
A = {2, 3, 5, 7, 11}
Set B:
B = {1, 2, 3, 4, 6, 12}
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
A' = {1, 4, 6, 8, 9, 10, 12}
C. Elements not in A or A' = ∅
Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.
Hence, the Venn diagram of sets A, B and U has been attached.
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Quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation. If TY = 2, find RM.
Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.
Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.
A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.
Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.
Therefore, RM = 2.
By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.
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G = B. What is the length of CD?
CD = ___
Answer:
10
Step-by-step explanation:
Since G = B (and 284 + 76 = 360), then FE = CD
I need help please no one helps me
Answer:
the answer is A
bro please help mee
Step-by-step explanation:
Mr. Jones' car insurance is $160 every six months. Mrs. Jones drives a newer, more expensive car. Her insurance is $290 every six months.
How much should they budget for car insurance each month?
A. $75
B. $27
C. $38
D. $48
Answer:
First, we need to calculate the total cost of car insurance for six months:
Mr. Jones' insurance = $160
Mrs. Jones' insurance = $290
Total insurance cost for six months = $160 + $290 = $450
To find the monthly cost, we divide the total cost by 6:
$450 ÷ 6 = $75
Therefore, the answer is A. $75. They should budget $75 per month for car insurance.
write the equation of the point (0,4) and. a slope or -1, in slope intercept form
Answer:
= y + x - 4 = 0
Step-by-step explanation:
a slope or -1
The point = (0,4).
the equation =
\( \frac{y - y1}{x - x1} = m\)
y - 4 = -1
x - 0
note: Perform close multiplication
remember every whole number is over 1
y - 4 = - ( x - 0)
y - 4 = - x + 0
y + x - 4 = 0.
5
一堆
2
If log₁/2x = -1, then the value of x is
a) 2
b) 1/2
c)-1
The value of the variable 'x' in logarithmic expression is: 2
What is logarithm?
In mathematics, the term logarithmic expression can be explained as the exponent or the power which is raised on the base value of the logarithmic expression.
According to the question, the given logarithmic expression are as follows:
\(log_{1/2}x = -1\)
Using standard logarithmic property, we get
x = (1/2)^-1
⇒x = 2
Hence, the logarithmic value of the variable 'x' is: 2
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Risk of diabetes
The American Diabetes Association reports the following information:
In general, if you are a man with type-1 diabetes, the odds of your child getting diabetes are 1 in 17. If
you are a woman with type-1 diabetes and your child was born before you were 25, your child's risk
is 1 in 25; if your child was born after you turned 25, your child's risk is 1 in 100.
For each of the following questions, be prepared to justify your response in class.
A 30-year-old women with type-1 diabetes has a child. The probability that the child will also have
diabetes is about 1%.
O True
O False
Calculator
Submit Question
The probability that the child will also have diabetes is about 1/2500 so the above-given statement is (B) FALSE.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. By simply dividing the favorable number of outcomes by the total number of possible outcomes, the probability of an event can be determined using the probability formula.So, if a 30-year-old woman with type-1 diabetes has a child, then the probability that the child will also have diabetes is about 1%:
If a child is born before a woman is 25 = 1/25If a child is born after a woman is 25 = 1/100Now,
1/25 × 1/100 = 1/2500Therefore, the probability that the child will also have diabetes is about 1/2500 so the above-given statement is (B) FALSE.
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The correct question is given below:
Risk of diabetes
The American Diabetes Association reports the following information:
In general, if you are a man with type-1 diabetes, the odds of your child getting diabetes are 1 in 17. If
you are a woman with type-1 diabetes and your child was born before you were 25, your child's risk
is 1 in 25; if your child was born after you turned 25, your child's risk is 1 in 100.
For each of the following questions, be prepared to justify your response in class.
A 30-year-old woman with type-1 diabetes has a child. The probability that the child will also have
diabetes is about 1%.
(A) True
(B) False
Calculator
Submit Question
James types 25 words per minute. He be spends 15 minutes type in his homework what is the domain of the situation
Answer:
he types 375 words in 15 minutes.
Step-by-step explanation:
25x15=375
The domain of the given situation is all numbers between and including 0 and 15.
What is Domain ?The domain of a function is the set of values that we are allowed to put into our function.
This set is the x values in a function
The domain is the independent variable (x)
In this case time is independent and
so Jame can type anywhere between 0 to 15 minutes so the domain can be written as
function(x) = {all numbers between and including 0 and 15}
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Mrs. Flores asked her students to write a number, its opposite, and its absolute value, in that order. Four of her students turned in their work below.
Student Work
Keenan -1285, -1285, 1285
Sarah 1416, -1416, 1416 Ahab -1383, 1383, -1383
Ji-yoon 1574. -1574, -1574
Which student correctly listed a number, its opposite, and its absolute value in the correct order?
Answer:
Sarah is correct
Step-by-step explanation:
Required
Which of the students is correct
Let a number be x,
Given what the teacher asked the students to do, the solution is:
\(Number = x\)
\(Opposite = -x\)
\(Absolute = |x|\)
Only Sarah got this correctly; others are incorrect.
The proof is as follows.
For Sarah
\(Number = 1416\)
\(Opposite = -1416\)
\(Absolute =|1416| = 1416\)
So, the numbers will be: 1416, -1416 and 1416
Other students are incorrect
Simplify the expression by combining like terms. Write the terms in alphabetical order of the variables.
X+20y-2z+19x-2y+19z
Answer: \(20x+18y+17z\)
Step-by-step explanation:
\(x+20y-2z+19x-2y+19z\\(x+19x)+(20y-2y)+(-2z+19z)\\20x+18y+17z\)
13 A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h, in meters, of each stone above the ocean is related to the
time 1, in seconds, after it has been thrown by the function
h = -21? + 21 + 40. What is the maximum height reached by
each stone?
The maximum height reached by each stone is 40.5 meters.
The height of each stone above the ocean is given by the function:
h = -2t² + 2t + 40
This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.
The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.
The t-coordinate of the vertex is given as:
t = -b / 2a
Substitute the values of a and b,
t = -2 / (2×(-2)) = 0.5
So the maximum height is reached 0.5 seconds after the stone is thrown.
To find the maximum height, substitute the value of t into the function:
h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters
Therefore, the maximum height reached by each stone is 40.5 meters.
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Diego ran a race in 80 minutes. The race started at
11:38 a.m. What time did he finish the race?
12:18 a.m.
1:58 p.m.
A
11:56 a.m.
12:58 p.m.
If Diego started the race at 11:38 am and finished in 90 minutes, then the time he will finish the race is 12:58 pm, the correct option is D.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
Diego ran a race in 80 minutes, the race started at 11:38 a.m.
The time Diego ran a race in is 80 minutes.
The time he started at 11:38 am
Let he finish the race at x hours.
The equation can be written as,
x = 11:38 + 80 minutes
60 min = 1 hour
80 minutes = 1 hour 20 minutes
x = 11: 38 + 1 :20
x = 12: 58 pm
The time he will finish the race is 12:58 pm.
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Which value is a solution to the inequality x 4
Answer:
0
Step-by-step explanation:
x < 4 means all numbers less than 4, excluding 4 itself.
4.5 > 4.
5 > 4.
so 0 is the solution
Answer:
4
Step-by-step explanation:
interval notation ( negative infinity, 4)
Solve on the interval [0, 2pi): 4csc x +6=-2
By solving the interval : [0,2pi] 4 csc x +6=-2 is 7pi/6 , 11pi/6
What are Trigonometric identities?Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These are identities that, geometrically speaking, involve certain functions of one or more angles. defining sine and cosine in terms of tangent, cotangent, secant, and cosecant interactions. The sine and cosine formula according to Pythagoras. This trig identity is arguably the most significant.\(& 4 \csc x+6=-2 \\\)
\(& 4 \csc x=-8 \\\)
Simplifying,
\(& \csc x=-2 \\\)
\(& \frac{1}{\sin x}=-2 \\\)
\(& \sin x=-\frac{1}{2} \\\)
We get,
\(& x=\frac{7 \pi}{6}, \frac{11 \pi}{6}\)
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Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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En un triatlón, Jenny nadó durante 1 hora, anduvo en bicicleta durante 1,75 horas y corrió durante 1 hora. Su velocidad promedio en bicicleta fue 2 veces su velocidad promedio para correr, y su velocidad promedio para correr fue 8 veces su velocidad promedio para nadar. La distancia total del triatlón fue de 55,5 kilómetros. Escribe una ecuación y resuélvela para encontrar la velocidad de nado promedio de Jenny en kilómetros por hora. Explique su ruta de solución y el razonamiento detrás de su trabajo.
Jenny's Average swimming speed is 1.5 km/h.
Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.
We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.
Thus, the distance she swam is S * 1 = S km.
Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.
Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.
Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.
She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.
The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.
Therefore, we can write the equation:
S + 8S + 28S = 55.5.
Simplifying the equation, we get:
37S = 55.5.
To solve for S, we divide both sides of the equation by 37:
S = 55.5 / 37 = 1.5.
Thus, Jenny's average swimming speed is 1.5 km/h.
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Are the triangle below congruent? If so, write a congruence statement and say why
Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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determine the Y value of each ordered pair based on the given x value
The completed ordered pairs are: (6, 29), (-1, 34), and (1, -6).
An ordered pair is of the form (x, y), which is defined by a relation y = f(x).
In the question, we are asked to determine the y-value of each ordered pair based on the given x-value, by the relation y = 7x - 13.
1. (6, _):
x-value = 6.
Substituting x = 6, in the relation y = 7x - 13, we get:
y = 7(6) - 13,
or, y = 42 - 13,
or, y = 29.
Thus, the complete ordered pair is (6, 29).
2. (-3, _):
x-value = -3.
Substituting x = -3, in the relation y = 7x - 13, we get:
y = 7(-3) - 13,
or, y = -21 - 13,
or, y = -34.
Thus, the complete ordered pair is (-1, -34).
3. (7, _):
x-value = 1.
Substituting x = 1, in the relation y = 7x - 13, we get:
y = 7(1) - 13,
or, y = 7 - 13,
or, y = -6.
Thus, the complete ordered pair is (1, -6).
Thus, the completed ordered pairs are: (6, 29), (-1, 34), and (1, -6).
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£50 is worth €65 how many euros is £220 worth
Answer:
£220 is worth €247