Answer:
y = 94
z = 77
Step-by-step explanation:
Since the angle z is supplementary to 103, we can say that.
z + 103 = 180
Solving for z, we get that z = 77.
Now, to solve for y, we need to recall the fact that the internal angles in a quadrilateral always add up to 360. We know 3 of the angles, so we can set up an equation:
y+77+106+83 = 360
y+266 = 360
y = 94
you invest 1000 into an accont ppaying you 4.5% annual intrest compounded countinuesly. find out how long it iwll take for the ammont to doble round to the nearset tenth
It will take approximately 15.5 years for the amount to double, rounded to the nearest tenth.
To find out how long it will take for the amount to double, we can use the continuous compound interest formula:
A = P * e^(rt)
Where:
A = Final amount (double the initial amount)
P = Principal amount (initial investment)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time (in years)
In this case, the initial investment (P) is $1000, and we want to find the time it takes for the amount to double. The final amount (A) is $2000 (double the initial amount). The annual interest rate (r) is 4.5% or 0.045 (in decimal form).
Plugging these values into the formula, we have:
2000 = 1000 * e^(0.045t)
Dividing both sides by 1000:
2 = e^(0.045t)
Taking the natural logarithm (ln) of both sides:
ln(2) = 0.045t
Finally, solving for t:
t = ln(2) / 0.045 ≈ 15.5
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Pls help me!!! I don’t know the answer I will give u brainlyest if I get it correct
Answer:
C?
Step-by-step explanation:
Suppose 70% of jurors come to a just decision. In a jury of 10 people, what is the probability that more than half come to a just decision?
Answer:
Answer: 0.8497
Step-by-step explanation:
Which of the sequences is an arithmetic sequence?
Answer:
d.-2,-8,-14,20,-26
Step-by-step explanation:
A scooter travels at 1/4 mile in 1/2 minute find the speed
The speed of the scooter is 1/2 miles per minute.
The time traveled by an object or person in any direction in a particular period of time is called speed. Speed is a scalar quantity that has no direction, it has only magnitude.
Uniform speed, variable speed, average speed, and instantaneous speed are the four kinds of speed.
To find the required speed of a scooter, you can use the following formula:
Speed= Distance/Time
Here given that, the scooter traveled 1/4 miles in 1/2 minute.
By applying the formula,
speed=(1/4)miles/(1/2)minutes
=1/2 miles/minute
Therefore, the speed of the scooter is 1/2 mile/minute.
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Half a mile per minute is the speed at which the scooter moves.
Speed is the amount of time it takes for a person or object to move in any direction over a predetermined amount of time. Speed is a scalar quantity with only magnitude and no direction.
Uniform, variable, average, and instantaneous speeds are the four different types of speed.
Apply the following formula to determine the required speed for a scooter:
Time/Distance = Speed
As a result, the scooter traveled a quarter mile in just over a minute.
Using the equation,
speed=(1/4)miles/(1/2)minutes
50/60 miles per hour
The scooter moves at a speed of half a mile per minute as a result.
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HAS Y INTERCEPT OF 3 AND PASSES THROUGH (2,3)
Answer:
(0,3) and (2,3) are the coordinates and if you graph it is shows that it has a slope of 0.
Don's favorite cheese snack come in a box of 6 pieces. Each piece is in the shape of a triangular prism that is 4 cm tall. The triangular base has an area of 20 cm. Find the volume of all of the cheese in the box in cubic centimeters.
Don's favorite cheese snack come in a box of 6 pieces. Each piece is in the shape of a triangular prism that is 4 cm tall. The triangular base has an area of 20 cm. Find the volume of all of the cheese in the box in cubic centimeters.
Answer:
the answer is 80 cubic cm.
Step-by-step explanation:
it is simply height X width so 20 X 4= 80 meaning the answer is 80 cm
how to solve this?someone help me
Hope it helps you! ........
The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. What is the present ages of father and son?.
The present ages of the father and son are 36 and 9, respectively.
The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.
Let's denote the present ages of the father as "F" and the present age of the son as "S".
From the information given, we have two equations:
Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)
To solve this system of equations, we can use substitution or elimination method.
Let's solve it using the substitution method:
From Equation 1, we can express F in terms of S: F = 45 - S
Now, substitute F in Equation 2 with 45 - S:
(45 - S - 5)(S - 5) = 4(45 - S - 5)
Simplify the equation:
(40 - S)(S - 5) = 4(40 - S)
Expand and simplify:
40S - 5S - 200 + 25 = 160 - 4S
Combine like terms:
35S - 175 = 160 - 4S
Add 4S to both sides:
35S + 4S - 175 = 160
Combine like terms:
39S - 175 = 160
Add 175 to both sides:
39S = 335
Divide both sides by 39:
S = 335/39
Simplify:
S ≈ 8.59
Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:
S ≈ 9
Now, substitute S = 9 into Equation 1 to find the father's age:
F + 9 = 45
Subtract 9 from both sides:
F = 45 - 9
F = 36
Therefore, the present ages of the father and son are 36 and 9, respectively.
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Prism AAA has a volume of 606060 cubic units, and a height of 121212 units. Prism BBB has the same base area and height, but a length of 151515 units for the longest edge.
As both prism have the same base area and height there volumes are the same.
What is called prism?
Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.Volume of the prism is given by
Volume of Prism A= base area* height
60 cubic units= base area* 12
base area= 60/12= 5 units
Volume of Prism B= base area* height
= 5 units*12 units
= 60 cubic units
As both prism have the same base area and height there volumes are the same.
Therefore, The length of the longer side is the length of the triangle itself.
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The complete question is -
Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge
Answer:
Step-by-step explanation:
yes
Does anyone know this
Answer:
I belive the answer is A
Step-by-step explanation:
So any answer with 22t would make sense, so you have A and C. In C though, it is subtracting 22, but since 6195 is the total it would have to include the 22 so it is A.
a pet store owner believes that dog owners spend more on average than cat owners on their pets. the owner randomly records the sales of 40 customers that said they only owned dogs and 40 customers that said they only owned cats. what is the correct decision and summary based on the excel output below? assume the populations are approximately normally distributed with unequal variances.
The correct decision and summary based on the excel output below is Standard Error =5.389361. and P-value=0.5364.
Two sample T summary hypothesis test:
\(u_{1\) : Mean of Population 1
\(u_{2}\) : Mean of Population 2
\(u_{1} -u_{2}\) : Difference between two means
\(H_{0}\) : \(u_{1} -u_{2}\) = 0
\(H_{a}\) : \(u_{1} -u_{2}\)
0
(without pooled variances)
Hypothesis test results:
Difference = u1-u2
Sample Diff=3.34725
Standard Error =5.389361.
DF=77.988073
T-Stat=0.62108476
P-value=0.5364
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Read this line from fall of the house of usher: in this there was much that reminded me of the specious totality of old wood-work which has rotted for long years in some neglected vault, with no disturbance from the breath of the external air. why does the narrator describe the house in this way? to show that it has a nice design to show that it reminds him of something rotting to show that there are too many people inside to show that the owner had a lot of parties
The narrator describes the house in this way to convey a sense of decay and deterioration. It is not to show that it has a nice design, remind him of something rotting, indicate the number of people inside, or suggest that the owner had a lot of parties.
The line from "Fall of the House of Usher" describes the house using imagery of old wood-work that has rotted in a neglected vault. This description serves to create a mood of decay and deterioration. The phrase "specious totality of old wood-work" suggests that the once-grand and impressive architecture of the house has fallen into disrepair. By comparing it to something rotting in a neglected vault, the narrator conveys a sense of neglect and isolation. The description emphasizes the dilapidated state of the house, setting the tone for the eerie and decaying atmosphere that permeates the story.
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Help...Emergency...No links or i will report
11395
45,580 ÷ 4 = 11395
Answer:
D / $1,823
Step-by-step explanation:
take the $45,580 and divide it by the 4% (0.04)
pls help Explain how \(2 * 10^-4\) is the same as \(2 / 10^4\) using expanded notation.
Montrer que ( 15x - 6 ) = 9( 5x - 2 )²
The value of a car depreciates by 15% each year. The value of the car when new is $14000. WHat will be the value of the car after 1 year.
Answer:
$11,900
Step-by-step explanation:
What is the y-coordinate of the y-intercept of the graph of y=3^x+9
Answer:
10
Step-by-step explanation:
y intercept is found when x is zero so we set x to zero
y=3^0+9
y=1+9
y=10
hopes this helps
Answer: 10
Step-by-step explanation:
The y-intercept of a graph is when x=0 because it is on the y-axis. TO do this, we can plug x=0 Into the equation and find y.
\(y=3^0+9\) [exponent]
\(y=1+9\) [add]
\(y=10\)
Therefore, the y-coordinate is 10.
Consider the data below: 6278 The mode is: A. 54 B. 80 C. 62 D. 78 Clear my choice
None of the options A, B, C, or D are correct for the mode.
In the given data set {6, 2, 7, 8}, the mode refers to the value(s) that appear most frequently. To find the mode, we look for the value(s) that occur with the highest frequency.
In this case, each value in the data set occurs only once, and there are no repeated values.
Therefore, there is no value that appears more frequently than others. As a result, the data set does not have a mode.
The options provided (A. 54, B. 80, C. 62, D. 78) are not applicable because none of these values are present in the given data set.
In summary, for the data set {6, 2, 7, 8}, there is no mode since all values occur with the same frequency of one.
Therefore, none of the options A, B, C, or D are correct for the mode.
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Zach is trying to decide which of three golf
courses is the best. He randomly surveyed
people at a sports store and recorded the
results in the table. Is the sample method
valid? If so, suppose Zach surveyed 150
more people. How many people would be
expected to vote for Rolling Meadows?
Justify your answer.
Answer:
No, the population of people is poorly represented with this low sample size. 150 would better represent the population as a whole. 42 people would want to play on Rolling Meadows. (according to the previous data)
Step-by-step explanation:
Most likely this small sample size is too small to gain sufficient data from the whole population. If he were to survey a larger sample of people, he would overall better represent the population as a whole. The percentage of people who would prefer Rolling Meadows in the first sample was 28% (7/25). So just multiply 150 times .28 and get 42. 42 people would want to play on Rolling Meadows.
An object is added to a graduated cylinder containing 12. 5 ml of water. If the volume of the object is 7. 6 ml, what is the new volume of the water?.
1.644 gml⁻¹ is is the new volume of the water .
What is density, ?
Density is the concept that if you weigh two identically sized cubes made of different materials, they often won't weigh the same. It also implies that a massive cube of Styrofoam can have a weight equal to that of a tiny cube of lead. Iron, lead, or platinum are a few examples of dense materials.The ratio of an object's mass to its volume is its density.The amount of "stuff" that is contained in a certain amount of space is measured by density. For instance, a block of gold will be denser than a chunk of the softer, lighter element lead (Pb), which is a heavier element (Au). A brick is more dense than a block of Styrofoam. It is described as mass divided by volume.density = mass/volume
ρ = 12.5/7.6
ρ = 1.644 gml⁻¹
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Ten less than a number x is equivalent to 32
When expressions are equivalent, the expressions have the same value. The number x is 42, because 10 less than 42 is 32.
The number is represented as x
10 less than x is represented as x - 10
From the question, we understand that the 10 less than x is equivalent to 32.
So, the expression becomes
\(x - 10 =32\)
Collect like terms
\(x = 32 + 10\)
Add 32 and 10
\(x = 42\)
Hence, the number (x) is 42
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Calvin purchased a new office desk on July 23, 2018, at a cost of $2,373. He did not claim the bonus depreciation deduction. Using the half-year convention, Calvin may claim 2018 depreciation in the amount of Calvin purchased a new office desk on July 23, 2018, at a cost of $2,373. He did not claim the bonus depreciation deduction. Using the half-year convention, Calvin may claim 2018 depreciation in the amount of ?
Answer:
$339
Step-by-step explanation:
Calculation for the amount of Depreciation that Calvin may claim 2018 Using the half-year convention
Based on the information given we were told that he purchased a new office desk at the amount of $2,373 which means that the new office desk using the half-year convention will be a 7 year property.
Hence,
The Standard Depreciation percentage of the new office desk which is a 7 year property is 14.29% based on this the amount of Depreciation that Calvin may claim 2018 Using the half-year convention will be calculated as:
Using this formula
Depreciation=Cost of new office desk* New office Desk Depreciation percentage
Let plug in the formula
Depreciation=$2,373*14.29%
Depreciation=$339
Therefore Using the half-year convention Calvin may claim 2018 depreciation in the amount of $339
Isha is a pet sitter.
She earns $5 for each cat.
She earns $12 for each dog.
Last week, Isha pet sat for 11 cats and 7 dogs.
How much money did Isha earn pet sitting last week?
139
because you do 5 dollars times 11 cats equals 55 and 12 dollars times 7 dogs equals 84 add it together is 139
Evaluate the following expression if x=3: (1/2)^x
Answer:
\( \frac{1}{8} \)
Step-by-step explanation:
\( \bigg( \frac{1}{2} \bigg)^{x} \\ \\ (plug \: x = 3) \\ \\ = \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8} \)
PLS help me pls no links 15 points in total
Answer:
A and B are correct
Step-by-step explanation:
A)
Regular price=$24.30
Markdown=15%
Markdown Price=$24.30 * 15%
Markdown price=$3.645
Sale Price=$24.30-$3.645
Sale Price=$20.66
B)
Regular price=$66.50
Markdown=15%
Markdown price=$66.50 * 15%
Markdown price=$9.975
Sale Price=$66.50-$9.975
Sale Price=$56.53
If you need to ask any question, please let me know.
Plllllllllleeeeeeeeeeeesssse help!
Answer:
3x + 2
Step-by-step explanation:
Let f(x)=-2x+7 and g(x)=-6x+3. Find f•g and state it’s domain
Answer:
f(g(x)) = 12x + 1;The domain is all real numbers---------------------
Given functions f(x)=-2x+7 and g(x)=-6x+3.
Find the composite function f·g:
f(g(x)) = - 2(-6x + 3) + 7 = 12x - 6 + 7 = 12x + 1This is a linear function so the domain is all real numbers.
The domain of f•g is the set of all real numbers since there are no restrictions or conditions given for x. Therefore, the domain of f•g is (-∞, +∞) or (-∞, ∞).
What is domain?
The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
To find f•g (the dot product of f and g), we multiply the corresponding components of the two vectors and then sum the products.
f(x) = -2x + 7
g(x) = -6x + 3
To find f•g, we multiply the corresponding coefficients:
\(f•g = (-2x)(-6x) + (7)(3)\)
\(= 12x^2 + 21\)
The domain of f•g is the set of all real numbers since there are no restrictions or conditions given for x. Therefore, the domain of f•g is (-∞, +∞) or (-∞, ∞).
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Screen-printing a batch of shirts requires 1 minute per shirt in addition to 4 minutes of
initial set-up time. If it takes 47 minutes to screen-print a batch of shirts, how many shirts
are in the batch?
9514 1404 393
Answer:
43
Step-by-step explanation:
The first 4 minutes are spent doing setup, so the remaining 43 minutes are spent printing shirts. If 1 shirt is printed for each minute, then 43 shirts are printed.
Tickets to a baseball game are $11 for adults and $6 for children. If twenty more children’s tickets are sold than adult tickets, how many of each type of ticket is sold if a total of $9,300 is taken in?
Answer:
560 children tickets
540 adult
Step-by-step explanation:
560x6=3360
540x11=5940
3360+5940 = 9300