Answer:
11 hours
Step-by-step explanation:
153 divided by 9 (which is 17) 17$ per hour so add 17 and 17 together which would be 34 and add it to 153 which would be 187$ he worked 2 more hours so in total he worked 11 hours.
and i know that was a bad explanation but its whatever hope this helped.
please help will give you brainliest
Answer:
(9, 7)
Step-by-step explanation:
You want the coordinates of the image of point (9, -7) after it has been reflected across the x-axis.
ReflectionThe image point will be as far above the x-axis as the original point is below the x-axis. The y-coordinate of -7 tells you the point is 7 units below the x-axis. The reflected point will be 7 units above the x-axis, so will have a y-coordinate of +7.
The image coordinates are (9, 7).
__
Additional comment
Reflection across the x-axis changes the sign of the y-coordinate.
Reflection across the y-axis changes the sign of the x-coordinate.
Lines AB and CD (if shown) are straight lines. Find x .
Answer:
x = 20
Step-by-step explanation:
We know that a straight line is 180 degrees. We also know that the line A and B is a supplementary angle.
We subtract 180 - 110 which will come out to 70 which is the value of angle B
We know that angles D and E are 90 degrees and since D and C is 180 degrees, that means C and E is equal to 90 degrees as well.
Since B is equal to 70 degrees, we subtract 90 - 70 to get 20 degrees which is the value of x
the sum of emma's age and her sister's age is 48 years. emma's age is 6 years less than twice her sister's age. what is emma's age, and what is her sister's age?
Question 4 (10 points)
(02.07 MC)
The figure shows triangle PQR and line segment AB, which is parallel to QR:
Triangle PQR has a point A on side PQ and point B on side PR. The line AB is parallel to the line QR.
Part A: Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points)
Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)
Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)
The location of the points A and B on side PQ and PR, and the information that segment AB is parallel to QR indicates;
Part A: Triangle ΔPQR is similar to ΔPAB by AA similarity postulate
Part B: The line segment on triangle ΔPAB that corresponds to line segment QR is segment AB
Part C: The angle on triangle ΔPAB that corresponds to angle ∠Q is angle ∠A
What makes two triangles similar?Two triangles are similar if two angles in one triangle are congruent to two angles in the other triangleThe lengths of all three sides of one triangle that is similar to other another triangle are proportional to the three sides of the other triangleTwo triangles are similar if two sides of on triangle are proportional to two sides of the other or second triangle and if the included angle between the two sides are congruent.Please find attached the drawing of triangles ΔPQR and ΔPAB created with MS Word
The in formation in the question are;
Line [tex]\overline{AB}{[/tex] is parallel to [tex]\overline{QR}[/tex], [tex]\left(\overline{AB} \parallel \overline{QR}\right)[/tex]
ΔPQR and ΔPAB overlap
Part A: Angle ∠PQR is congruent to angle ∠PAB (corresponding angles to parallel lines having a common transversal)
∠PRQ is congruent to ∠PBA (Corresponding angles formed by a common transversal to parallel lines)
ΔPQA is similar to ΔPAB (Angle-Angle, AA similarity postulate)
Part B: Corresponding sides of triangles are located on the same relative position within the triangle
Segment QR is the included segment to ∠PQR and ∠PRQ, which are each congruent to ∠PAB and ∠PBA, respectively in ΔPAB and segment AB is the included side to ∠PAB and ∠PBA, therefore, the line segment on triangle ΔPAB that corresponds to line segment QR is segment AB
Part C: Angle ∠Q on triangle ΔPQR is adjacent to segment QR on the right and angle ∠P on the left, while angle ∠A is adjacent segment AB on the right and ∠P on the right, segment AB in ΔPAB corresponds to segment QR on triangle ΔPQR, therefore, by the relative position of angle ∠A on triangle ΔPAB, it is the angle that corresponds to angle ∠Q
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What are the correct set of factors for the given equation?
1. 4x² - 11x - 3=0 18
A (2x + 1)(2x − 3)
B (4x + 1)(x − 3)
C (4x − 3)(x + 1)
Noble-gas notation: [ar]3s1 [he]2s22p63s1 [ne]3s23p4 [ne]3s1
In longhand notation, the electron configuration is
1s² 2s² 2p6 3s¹
Noble gas configuration
[ Ne ] 3s¹
Complete question:
Choose the electron configuration for sodium (Na) in both longhand notation and noble-gas notation.
What is electron configuration?
The arrangement of electrons in atomic or molecular orbitals of an atom, molecule, or other physical structure is referred to as the electron configuration in atomic physics and quantum chemistry.
In longhand notation, the electron configuration is
1s² 2s² 2p^6 3s¹
Noble gas configuration
[ Ne ] 3s¹
Here, the configuration 1s² 2s² 2p^6 is replaced by [ Ne ].
[ Ne ] represents the electron configuration of [ Ne ].
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Answer:
D) [Ne]3s1
☆
EDGE2023; Good Luck :D!!!
The cost of a jacket j after a 5% markup can be represented
by the expression j+0.05j. Simplify the expression. Then
determine the total cost of the jacket after the markup, if
the original price is $35.
the length of a rectangle is increasing at the rate of 6 \text{ cm/s}6 cm/s, and its width is increasing at a rate of 2 \text{ cm/s}2 cm/s. when the length is 40 \text{ cm}40 cm and the width is 15 \text{ cm}15 cm, how fast is the area of the rectangle increasing?
The rectangle's area is growing at a rate of 170 cm per second.
Given that,
Area of Rectangle given by.
A = length x width
A = LW
L =length of Rectangle
W =width of Rectangle
Now, dA/dt = W dl/dt + l dw/dt
dA/dt is the rate of change of area of the rectangle
dl/dt is the rate of change of length of the rectangle
dw/dt is the rate of change of width of the rectangle
at L = 40cm, W= 15 cm
dw = 2 cm/s,
dl = 6 cm/s,
dA = ?
dA/dt = W dl/dt + l dw/dt
= 15x6 + 40x2
= 90 +80
=170 cm /sec
Thus, the area of the rectangle increasing at 170 cm /sec
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According to this rate shown in this graph, after 12 minutes the coffee is about 110 degrees. After one hour (60 minutes), what do you think the temperature would be?
After one hour (60 minutes, the value of the temperature is 550 degrees.
What is temperature?Temperature is the degree of hotness and coldness that a body contains.
In this case, after graph, after 12 minutes the coffee is about 110 degrees. The temperature per minute will be:
= 110 / 12
= 9.167° per minute.
Therefore, the temperature after 1 hour which is 60 minutes will be:
= Time × Rate
= 60 × 9.167°
= 550°
The temperature is 550°.
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The measure of an angle is 161.4°. What is the measure of its supplementary angle?
Answer:
The measure of its supplementary angle is 18.6 degrees
Step-by-step explanation:
A Supplementary angle is any two angles that sum up to 180 degrees
With this in mind we can subtract 180 - 161.4 to get the measure of the other angle.
Since 161.4 + 18.6 = 180 this is correct
Answer: The supplementary angle to 161.4 degrees is 18.6 degrees.
Step-by-step explanation: the sum of two supplementary angles is always 180 degrees.
180-161.4 is equal to 18.6 degrees.
Doors for the small cabinets are 17.5 inches long. Doors for the large cabinets are 3.5 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 12 feet long?
Answer:
2
Step-by-step explanation:
If the doors for the small cabinets are 17.5 in long, and the doors for the large cabinets are 3.5 times longer, find the length of the large cabinet doors by multiplying the length of the small cabinet doors by 3.5:
⇒ Length of large cabinet doors = 17.5 × 3.5 = 61.25 in
1 foot = 12 inches
⇒ 12 foot = 12 × 12 = 144 inches
To find how many large doors can be cut from a board that is 12 feet long, divide 144 inches by the found length of the large door:
⇒ 144 ÷ 61.25 = 2 r 21.5
Therefore, 2 large doors can be cut from a board that is 12 feet long.
(There will be 21.5 inches of board left over).
As the sample size increases, the standard deviation of the sampling distribution.
False, As the sample size is increased, the standard deviation of a sampling distribution of the sample's mean drops.
The term "standard error" also refers to the sample mean's standard deviation. The high dimensionality theorem establishes that as sample size increases, the sample mean's sampling distribution becomes more or less normal.
Using the formula below, the sample mean's standard deviation is determined.
σ ÷ √n
where n is the sample size and would be the population standard deviation.
As the denominator, or n, increases, the standard variance of the sample average would also decrease, as shown by the aforementioned calculation.
It follows that the standard deviation of a sample's average decreases as the sample size grows.
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Point B is graphed on the coordinate plane. Which ordered pair represents point B?
Matilda walks from a castle's tower to its drawbridge by heading 624 m due
east and then heading due south.
The straight-line distance from the tower to the drawbridge is 927 m.
Work out the bearing of the drawbridge from the tower.
Give your answer to the nearest degree.
Answer:
138° (nearest degree)
Step-by-step explanation:
Bearing: The angle (in degrees) measured clockwise from north.
The given scenario can be modelled as a right triangle (see attachment).
Therefore, the bearing is 90° + θ (shown in green on the attached diagram).
To find angle θ, use the cosine trigonometric ratio:
[tex]\implies \cos{\theta}=\dfrac{A}{H}[/tex]
[tex]\implies \cos{\theta}=\dfrac{624}{927}[/tex]
[tex]\implies \theta=\cos^{-1}\left(\dfrac{624}{927}\right)[/tex]
[tex]\implies \theta=47.69018863...[/tex]
[tex]\implies \theta=48^{\circ}\; \; \sf (nearest\;degree)[/tex]
Therefore, the bearing of the drawbridge from the tower is:
[tex]\begin{aligned}\implies \sf Bearing&=90^{\circ}+\theta\\&=90^{\circ}+48^{\circ}\\&=138^{\circ} \end{aligned}[/tex]
Answer:
The bearing of the drawbridge from the tower is 138° SE-----------------------------
The segments that are formed by Matilda walking from the tower to drawbridge form a right triangleHorizontal leg = 624 m,Hypotenuse = 927 m.Find the angle x between the two segmentscosine = adjacent / hypotenusecos x = 624/927x = arccos (624/927)x = 48° (rounded to the whole degree)Find the bearing of the drawbridge from the towerAdd 90° to the angle measure we just found, since bearing is counted from the north direction:
48° + 90° = 138° SEWhich of the following statements is true?
25 : 35 = 45 :55 =
105 : 30 = 49 : 64 =
45 : 48 = 60 : 64 =
2/3 : 7/9 = 3/4 : 5/6 =
4.2 : 12.6 = 1.5 : 4.5 =
12 : 18 = 28 : 12 =
Answer:
3
Step-by-step explanation:
45*64=2880
48*60=2880
Question 11 of 30
What is the amplitude in the graph of y = 3sin(2x − 1) + 5?
-
Ο A. 1
B. 5
C. 2
D. 3
SUBMIT
3 is the amplitude, -4 is the minimum value, and 2 is the highest value.
What is amplitude?A function's amplitude is the distance that the graph of the function moves above and below its midline. The value of the amplitude when graphing a sine function is comparable to the value of the sine coefficient.the height difference between a periodic function's center line and peak (or trough).As an alternative, we might multiply the height from highest to lowest points by 2.the greatest deviation from equilibrium of a point on a vibrating body or wave in terms of displacement or distance traveled.
acc to our question-
Sin x is changed to sin 2x to modify the function's period from 2 πThe amplitude varies from 1 to 3, with a minimum value of -3 and a maximum value of 3, when sin 2x is substituted with 3 sin 2x.Then we translate 1 unit down by changing 3 sin 2x to 3 sin 2x - 1. Currently, the amplitude is 3, the period is, the minimum value is, the greatest value is, and the value in between is 2.Hence,3 is the amplitude, -4 is the minimum value, and 2 is the highest value
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XY is an angle bisector of ΔAXN. Find the length of side XN
The length of XN is 6
What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector. The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.Calculation
By angle bisector theorem
[tex]\frac{AX}{NX} =\frac{AY}{NY}[/tex]
[tex]\frac{18}{NX} =\frac{12}{4}[/tex]
[tex]NX=\frac{18*4}{12} =6[/tex]
Therefore, the length of side NX in the given triangle is 6.
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The length of side NX in the given triangle is 6.
What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector.The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.By angle bisector theorem
According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures
Therefore, the length of side NX in the given triangle is 6.
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Lauren's car used 11 gallons to travel 352 miles. How far can she travel on 3 gallons?
The distance traveled with 3 gallons is 96 miles.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
The distance traveled with 11 gallons = 352 miles
This means,
1 gallon = 352/11 miles
1 gallon = 32 miles
Now,
1 gallon = 32 miles
Multiply 3 on both sides.
3 gallons = 3 x 32 miles
3 gallons = 96 miles
Thus,
The distance traveled with 3 gallons is 96 miles.
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Help with this please (ASAP)
A furniture company is ordering screws. The company uses 37 screws to make each table and 16 screws to make each chair. The company needs to order screws for 12 tables and 48 chairs.
Which answer is the most reasonable estimate of the total number of screws they need to order?
the company uses 37 screws to make each table and 14 screws to make each chair. The company needs to order screws for 12 tables and 48
Can anyone write the equation of the graph?
The absolute value function y = |x - 3| + 5 generates the representation set on Cartesian plane.
What equation is behind a given graph?
In this question we need to determine the equation behind a representation set on a Cartesian plane. After a quick inspection, we find that the representation shows an absolute value function of the form:
y = |x - a| + b
Where:
a - Horizontal translation factor.b - Vertical translation factor.Based on all the given facts, the primitive absolute value function (f'(x) = |x|) is translated horizontally 3 units in the +x direction and vertically 5 units in the +y direction. If we know that a = 3 and b = 5, then we find the absolute value function y = |x - 3| + 5, whose representation is shown below.
In a nutshell, the representation comes from the absolute value function y = |x - 3| + 5.
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c=0.325g+p ,solve for g
Solving for g in the equation g = (c - p)/0.325
What is an equation?An equation is a mathematical expression that show the relationship between two variables.
How to solve for g in the given equation?Since we are given the equation c = 0.325g + p, we desire to make g subject of the formula.
To do this, we perform some mathematical operations on it.
So, c = 0.325g + p
Now, to isolate 0.325g on the right hand side, we subtract p from both sides of then equation.
So, c = 0.325g + p
c - p = 0.325g + p - p
c - p = 0.325g
Now to isolate g, we divide both sides of the equation by 0.325. So, we have
c - p = 0.325g
(c - p)/0.325 = 0.325g/0.325
g = (c - p)/0.325
So, we have g = (c - p)/0.325
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Is there any evidence to prove m and n are parallel
f(x)=x^2. which of these is g(x)?
please help!
Answer: C
Step-by-step explanation:
g(5)=1
Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.
1 2 3 4
f(n) 8 12 16 20
Is this an arithmetic sequence?
O No
OYes
The common difference is
Answer:
I believe the answer is Yes because there is a constant arithmetic sequence and I believe the common difference is 4.
2: The probability of a $2 winner in a particular state lottery is 1 in 10, the probability of a $5 winner is 1
in 50, and the probability of a $10 winner is 1 in 500.
a) What is the probability of getting either a $2, or $5, or $10 winner?
b) What is the probability of getting a $2 winner?
c) If you buy 50 lottery tickets, what is the probability that you will get at least one $5 winner?
d) If you buy 500 lottery tickets, what is the probability that you will get at least one $10 winner? B
The probability of each event will be
a. 0.122
b. 0.1
c. 0.64
d. 0.63
Probability of a $2 winner is 1 in 10
Probability of a $5 winner is 1 in 50
Probability of a $10 winner is 1 in 500
The formula to find probability is
1. no. of favorable outcomes / total no. of favorable outcomes
OR
2. P(A) = n(A)/n(S)
where
P(A) is the probability of an event “A”
n(A) is the number of favorable outcomes
n(S) is the total number of events in the sample space
Now we will use formula to find probability of different events happening
a. To find the probability of getting either a $2, or $5, or $10 winner we
will find probability of $2 , $5 and $10 and add them together.
1/10 + 1/50 + 1/500 = 0.122
b. The probability of getting a $2 winner will be
1/10 = 0.1
c. The probability of getting no $5 winner is (49/50)^50 = 0.36
So the probability of getting $5 winner will be 1 - 0.37 = 0.64
d. The probability of getting no $10 winner is (499/500)^500 = 0.37
And we can take probability of total no. of outcomes as 1.
So the probability of getting $10 winner will be 1 - 0.37 = 0.63
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Given: ΔABC Prove: The sum of the interior angle measures of ΔABC is 180°. Statement Reason 1. Let points A, B, and C form a triangle. Given 2. Let be a line passing through B, parallel to , with angles as labeled. Defining a parallel line and labeling angles 3. 4. M∠1 = m∠4, and m∠3 = m∠5. Congruent angles have equal measures. 5. M∠4 + m∠2 + m∠5 = 180° angle addition and definition of a straight angle 6. M∠1 + m∠2 + m∠3 = 180° substitution What is the missing step in this proof? A. Statement: ∠4 ≅ ∠5, and ∠1 ≅ ∠3. Reason: Alternate Interior Angles Theorem B. Statement: is parallel to. Reason: is a transversal cutting and. C. Statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5. Reason: Alternate Interior Angles Theorem D. Statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5. Reason: ∠1 and ∠4, and ∠3 and ∠5 are pairs of supplementary angles
From the given statements regarding angle the point b) DE is parallel to AC with its reason - AB is a transversal cutting DE and AC will be the correct statement.
DE and AC are parallel for this to work angle 1 is at A, angle 2 is at B and angle 3 is at C. In addition, angle 4 is the alternate interior angle to angle 1 once DE is constructed, as is angle 5 to angle 3. Then the missing reasons are alternate interior angles theorem and definition of congruent angles.
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Suppose that a recent poll of american households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. 25) what is the probability that all three randomly selected households own a dog? (round to the nearest hundredth)
There is a 0.091125 probability that all three randomly chosen houses have dogs.
In light of this, imagine that a recent survey of American homes regarding pet ownership revealed that 45% of households with pets were dog-owning, 34% were cat-owning, and 10% were bird-owning households.
• Three families are chosen at random, replaced, and with mutually exclusive ownership.
The calculation of probability is as follows based on the facts above:
=0.43^3
= 0.091125
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(-3,-5), perpendicular to x +2y=-4
The equation of the line perpendicular to y = - (1 / 2) · x - 2 and that passes through the point (x, y) = (- 3, - 5) is y = 2 · x + 1.
How to determine an equation of the lineIn this problem we must determine the equation of a line perpendicular to another line, provided that the equation of a line and a point of intersection are given. According to analytical geometry, two lines are perpendicular if and only if the product of the two slopes equals - 1.
The equations of the line are defined by functions of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the slope relationship between two perpendicular line:
m · m' = - 1
Where:
m - Slope of the original line.m' - Slope of the perpendicular line.First, derive the equation of the line in slope-intercept form:
x + 2 · y = - 4
2 · y = - x - 4
y = - (1 / 2) · x - 2
Second, calculate the slope of the perpendicular line by the slope relationship:
m' = - 1 / (- 1 / 2)
m' = 2
Third, find the y-intercept of the perpendicular line by the equation of line, the slope and the coordinates of the given point:
b = y - m · x
b = - 5 - 2 · (- 3)
b = - 5 + 6
b = 1
Then, obtain the equation of the line in slope-intercept form:
y = 2 · x + 1
The equation of the line is y = 2 · x + 1.
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3. the probability distribution shown below represents the number of trips of five nights or more that american adults take per year. (that is, 6% do not take any trips lasting five nights or more, 70% take one trip lasting five nights or more, etc.). number of trips x probability 0 0.06 1 0.70 2 0.20 3 0.03 4 0.01 1.00 (a) is this an example of a discrete or continuous probability distribution? (b) what is the expected value (mean) number of trips taken? (c) what is the standard deviation of the number of trips taken? (d) what is probability that an american will take three or more trips? (e) what is probability that an american will take two or less trips? (f) what is probability that an american will take at least one trip?
The probability distribution is a) discrete, with b) a mean of 1.23, the standard deviation is c) 0.6458, d) the probability that an American will take 3 or more trips is 0.04, e) the probability that an American will take 2 or less trips is 0.96 and, f) the probability to take at least one trip is 0.94
It is given that the probability distribution of the no. of trips an American adult takes that lasts 5 nights or more
x probability
0 0.06
1 0.70
2 0.20
3 0.03
4 0.01
a)
Here we can see that all the values are isolated and there is no continuity between them. The distribution clearly has breaks between them.
Hence, we can say that the distribution is discrete.
b)
The expected value of any probability
E(X) = ∑xp(x)
where,
x is the random variable
p(x) is the probability of the corresponding random variable hence we get
E(X) = 0 × 0.06 + 1 × 0.70 + 2 × 0.20 + 3 × 0.03 + 4 × 0.01
= 0 + 0.7 + 0.4 + 0.09 + 0.04
= 1.23
Hence the expected value is 1.23
c)
The standard deviation is √σ²
Where σ² = variance of the distribution
σ² = E(X²) - {E(X)}²
{E(X)}² = 1.23²
= 1.5129
E(X²) = ∑x²p(x)
= 0 × 0.06 + 1 × 0.70 + 4 × 0.20 + 9 × 0.03 + 16 × 0.01
= 0.7 + 0.8 + 0.27 + 0.16
= 1.93
Therefore,
σ² = 1.93 - 1.5129
= 0.4171
Therefore
σ = 0.6458
d)
The probability to take 3 or more trips is
P(X≥3)
= P(X = 3) + P(X = 4)
= 0.03 + 0.01
= 0.04
e)
The probability of an American taking 2 or less trips is
1 - P(X≥3)
= 1 - 0.04
= 0.96
f)
The probability that an American will take at least one trip is
P(X≥1)
= 1 - P(X = 0)
= 1 - 0.06
= 0.94
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