Answer:
\(\huge\boxed{43 \textdegree}\)
Step-by-step explanation:
We can use basic angle relationships to find the measure of z.
We know that all angles in a triangle will add up to 180°. Since we already know two out of the 3 angles (47° and 90° - right angles are always 90°) we can add those two up and subtract from 180 to find out the missing angle length.
\(47+90=137\\\\180-137=43\)
Hope this helped!
Halston takes two pieces of fruit for a snack. What is the probability that she chooses two pieces of fruit that are not bananas.
Fruit Amount
Pear 3
Orange 4
Banana 2
Answer:
The total number of fruits Halston can choose is 3 + 4 + 2 = 9.
The number of ways she can choose two fruits without restrictions is 9C2 = (98)/(21) = 36.
The number of ways she can choose two fruits where both are bananas is 2C2 = 1.
Therefore, the number of ways she can choose two fruits that are not bananas is 36 - 1 = 35.
So, the probability that Halston chooses two fruits that are not bananas is:
35/36
Therefore, the probability that Halston chooses two fruits that are not bananas is 35/36.
PLEASE HELP PLEAAE HURRY ANS NO LINKS PLEASE I REALLY NEED THE ANSWER
Answer:
-2
Step-by-step explanation:
Answer:
\(2 - 4 = - 2 \times ( - 5) = 10 \div 2 = 5 + 4 = 9 \times ( - 2) = - 18\)
Find all zeros? One zero has been given.
The zeros of the function f(x) = 2x⁴ + 11x³ + 16x² + x - 6 are x = -3, x = -2,
x = -1 and x = 1/2 respectively
What is the zeros of a function?The zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
In the given problem, the zero of the function;
f(x) = 2x⁴ + 11x³ + 16x² + x - 6; -3 are
f(-3) = 2(-3)⁴ + 11(-3)³ + 16(-3)² -3 - 6 = 0
f(-2) = 2(-2)⁴ + 11(-2)³ + 16(-2)² - 2 - 6 = 0
f(-1) = 2(-1)⁴ + 11(-1)³ + 16(-1)² - 1 - 6 = 0
f(1/2) = 2(1/2)⁴ + 11(1/2)³ + 16(1/2)² - 1/2 - 6 = 0
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Question down below in image
A like radical to the one shown is Option C.
Which is a like radical?We know that we can be able to perform mathematical operations on the radicals such as adding and subtracting but this must be performed when we have like radicals.
When we talk about like radicals we mean that the radicals must be such that it easy for the radical to be worked upon as we have it in the question that is before us here to locate a like radical among the options.
The radical in option C has the same 2x and power as the given radical hence they are like radicals.
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If 12 donkeys can load a barge in 75 minutes, how long will it take
donkeys to load.
-2\tfrac{1}{2}-\Big(-4\tfrac{3}{5}\Big)
−2 /2/1 −(−4 3/5)
The value of the fraction expression -2 1/2 - (-4 3/5) is 2 1/10
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
−2 /2/1 −(−4 3/5)
Express properly
So, we have the following representation
-2 1/2 - (-4 3/5)
Remove the brackets
This gives
-2 1/2 - (-4 3/5) = -2 1/2 + 4 3/5
Express the denominator as 10
So, we have
-2 1/2 - (-4 3/5) = -2 5/10 + 4 6/10
Evaluate the difference
-2 1/2 - (-4 3/5) = 2 1/10
Hence, the solution is 2 1/10
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Write and exponential and a linear equation using the following points:
(0,9) and (1,10.8)
I had a delta math and it asked me this question
Linear equation: y=1.8x+9
Exponential equation y=9(1.2)^x
Solve for x in the diagram below
Answer:
X=6
Step-by-step explanation:
5x+(x+54)=90
6x+54=90
6x=36
X=6
Please Help ASAP
Reflect this figure across the x- axis
-
3. Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points)
14
5
Order the set of numbers from least to createst (noints
=
Step-by-step explanation:
the numbers are equal n if u work out all of them ull get the same answer
Answer:
the value of √7=2.645751311065 and value of 14/5=2.8
so.......
√7<14/5
rite an equation in standard form of the circle with the given properties.
Center at the origin; r = square root 6
Answer:
x² + y² = 6
Circle Center at the origin; r = square root 6
(x - 0)² + (y - 0)² = (✓6)²
x² + y² = 6
If events A and B are independent, what must be true?A.) P(AB) = P(B)
B.) P(A/B) = P(A)
C.) P(A) = P(B)
D.) OP(AB) = P(BIA)
Answer:
B.) P(A/B) = P(A)
Step-by-step explanation:
If two events, A and B are independent:
We have that:
\(P(A \cap B) = P(A)P(B)\)
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
Since they are independent:
\(P(A \cap B) = P(A)P(B)\)
Then
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)\)
So
\(P(B|A) = P(B)\), or either:
\(P(A|B) = P(A)\), and thus, the correct answer is given by option B.
5.13.1 - Test: Functions Unit Test
4A Math 8 Q4 / 5. Functions / 5.13. Functions Unit Test
PLS HELPPP
What are the next three terms in the sequence?
–6, 5, 16, 27, …
A. 38, 49, 60
B. 37, 47, 57
C. 36, 45, 54
D. 36, 46, 57
Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 6 bulbs. In the second year, it produced 12 bulbs, and in the third year, it produced 24 bulbs. If this pattern continues, how many bulbs should Geoff expect in the eighth year?
A. 48 bulbs
B. 384 bulbs
C. 768 bulbs
D. 1,536 bulbs
What are the first four terms of the sequence represented by the expression n(n – 1) – 5?
A. –7, –5, –3, 1
B. –5, –10, –15, –20
C. 0, 2, 6, 12
D. –5, –3, 1, 7
A car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds. It maintains that speed for 5 seconds and then slows to a stop in 5 seconds. Which graph shows the car’s speed over time?
Use the graph below to answer the question that follows.
Which statement describes the speed of the remote-control car over time?
A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
B. The speed of the car increases from 4 mi/h to 2 mi/h in the first 3 seconds, decreases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
C. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 6 mi/h in the next second, and then remains at 6 mi/h for the last 6 seconds.
D. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 5 seconds, and then remains at 5 mi/h for the last 10 seconds.
Given the function rule f(x) = x² – 5x + 1, what is the output of f(–3)?
A. 7
B. –5
C. 25
D. 5
Suppose you earn $12 each time you mow the lawn. Which function describes the relationship between your total earnings E and the number of times you mow the lawn, m?
A. E(m) = m + 12
B. m = 12E
C. E(m) = m – 12
D. E(m) = 12m
The data in the table illustrate a linear function.
x=0,2,4,6
y=-5,-2,1,4
What is the slope of the linear function? Which graph represents the data?
Which hill described in the table is the steepest and why?
A. Dixie Hill; it rises 5 feet for every 3 feet of horizontal travel.
B. Dixie Hill; it rises three-fifths foot for every 1 foot of horizontal travel.
C. Bell Hill; it rises 2 feet for every 1 foot of horizontal travel.
D. Liberty Hill; it rises 1 foot for every 5 feet of horizontal travel.
Which graph represents the linear function y = start fraction 1 over 5 end fractionx – 2?
Which graph represents the linear function y = –2x + 3?
Which function rule represents the data in the table below?
A. y = 4 + 5x
B. y = 3 + 6x
C. y = 5 + 4x
D. y = 6 + 3x
Max charges $3.50 per hour when he mows lawns, plus $6.00 for transportation expenses. Which function rule represents the amount y Max charges to mow lawns for x hours?
A. y = 9.50x
B. y = 6.00x + 3.50
C. y = 3.50x + 6.00
D. y = 2.5x
The sale price of apples at a local grocery store is $1.35 for the first pound and $1.10 for each additional pound. Which function rule shows how the cost of apples, y, depends on the number of pounds, x?
A. y = 1.10(x – 1) + 1.35
B. y = 1.10x + 1.35
C. y = 1.35x + 1.10
D. y = (1.10 + 1.35)x
Which function rule represents the data in the table?
A. y = –3x – 8
B. y = one-thirdx – 8
C. y = one-thirdx + 8
D. y = 3x + 8
Which quadratic rule represents the data in the table?
A. y = –2x² + 5
B. y = –x² + 5
C. y = x² – 5
D. y = x² + 5
Note: For questions 19–21, your teacher will grade your responses to ensure you receive proper credit for your answers.
A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned over time by that person. Explain how the information in the problem relates to the function.
Explain how to write a function rule from the table below. Then write a function rule.
x=0,2,4,6
y=2,1,0,-1
The graph below shows the average daily temperature over the period of a year. Explain how each labeled section of the graph relates to the four seasons.
The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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sofiapenaloza
05/31/2023
Mathematics
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The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.
2.66; The line of best fit overpredicts the temperature change.
2.66; The line of best fit underpredicts the temperature change.
1.94; The line of best fit underpredicts the temperature change.
−1.94; The line of best fit overpredicts the temperature change.
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The correct statement regarding the residual in this problem is given as follows:
2.66; The line of best fit underpredicts the temperature change.
What are residuals?
For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
For a rain amount of 0.4 inches, the predicted temperature change is given as follows:
y = -1.4 x 0.4 + 0.2
y = -0.36.
Then the residual is given as follows:
R = 2.3 - (-0.36)
R = 2.66 -> underpredicts the change.
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Step-by-step explanation:
The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
Sam wanted to graph the equation
y = 2x -7. She plotted her y-intercept
point and started to count the slope.
Which of the following should she do?
A. count up 2, and left 1
B. count down 2, over 0
C. count down 2, and right 1
D. count up 2, and right 1
We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.
How can we find the intercepts and slope of the equations?When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.
y=mx+b is the slope intercept formula
CalculationThe given equation is y=2x-7.
By comparing to slope intercept formula y=mx+b,
m=2 and b=-7.
So the slope of the given equation is 2 and y-intercept is (0,-7).
we know that,
m=rise/run
so rise=2 and run=1 that means Sam needs to count up 2 and right 1 to graph the equation using the given slope.
We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.
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Complete the equation by rewriting 2 12/20
Answer:
52/20
Step-by-step explanation:
Common sense and simple math
A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 13 minutes there are 630 bacteria, after how many minutes will there be 20 bacteria remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number
The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081
What is exponential function?An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.
The No of bacteria left at a particular time t is given as N(t)= Noe^-kt
where No= initial number of bacteria
k= decay constant and t = time
after 13 minutes
630= 700e^-13k
divide both sides by 700
630/700= e^-13k
0.9= e^-13k
ln0.9= -13k
k= ln0.9/-13 = -0.1054/-13 = 0.0081
time for 20 bacteria to be left =
20= 700e^-0.0081t
= 20/700=e^-0.0081t
0.0286= e^-0.0081t
ln0.0286= -0.0081t
-3.554= -0.0081t
divide both sides by -0.0081
t= -3.554/-0.0081= 439 minutes ( nearest minutes)
therefore the time for the bacteria to be left is 439minutes
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. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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The width of a rectangle is 5 times its length. The perimeter is
53.
Find the width and length of the rectangle.
HELP. MATH FINAL DUE SOON....
Answer:
L = x
W = 5x
P = 2 (L + W)
53 = 2(x + 5x)
53 = 2(6x)
53 = 12x
x = 4/5/12
L = 4/5/12
W = 22/1/12
A lawnmower designer wants to build a lawnmower that measures 3 feet in height, 2 feet in width, and 5 feet in length. She needs to construct a three-dimensional scale model of the lawnmower first. Which measurements are appropriate for the scale model?
Answer: C. 6 inches high, 4 inches wide, and 10 inches long
Step-by-step explanation:
A scale model will have to use a scale factor that ensures that the actual measurements can be accurately converted to the scale model measurements in an equivalent manner.
This means that the real measurements need to be uniform when converted by the scale factor to the scale model. In other words, in this scenario for instance, when the scale measurements are divided by the real measurements, they should give the same scale factor.
Option C is correct because all the measurements give the same scale factor when divided as opposed to the rest.
Height = Scale/ Real = 6/3 = 2
Width = 4/2 = 2
Length = 10/5 = 2
They all use the scale factor of 1 feet: 2 inches so option C is correct.
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points one, negative three, and three, zero. What is the slope of the line?
The slope of a given line is m=1.5.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).
The coordinate points of a line are (1, -3) and (3, 0).
Substitute, (x₁, y₁) and (x₂, y₂) in m=(y₂-y₁)/(x₂-x₁), we get
m= (0+3)/(3-1)
= 3/2
= 1.5
Therefore, the slope of a given line is m=1.5.
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The distance between -7 and 2 on the number line is _____. 5 9 -5 10
Avas credit card balance is $64 if she makes a $25 payment then charges $79 find the balance of the card.
Answer:
6000 - 2500 = 3500
Ahora 3500 - 500 = 3000
ENTONSES la respuesta es 3000
Step-by-step explanation:
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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Graph the following features:
Y-intercept=1
Slope- -2/3
The graph with the y-intercept of 1 and a slope of -2/3 is added as an attachment
What are linear equations?Linear equations are equations whose slopes are constant average rates of change.
How to graph the equation of the line?The given parameters are
y-intercept, c = 1Slope, m = -2/3A linear equation is represented as
y = slope * x + y-intercept i.e. y = mx + c
Substitute the known values in the above equation
So, we have the following equation
y = -2/3x + 1
Hence. the linear equation is y = -2/3x + 1
See attachment for the graph
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For a craft project, you select the four packages of modeling clay and the set of tools shown at the right. If there is a 6% sales tax, what is the total cost?
Answer:
13.727
Step-by-step explanation:
Explanation
Given: You choose the four packages of modeling clay and the set of equipment indicated on the right for a creative project.
To find: the total cost if there is a 6% sales tax.
We will calculate the total cost of each item and then add.
Tip
The total cost formula is used to combine the variable and fixed costs of providing goods to determine a total.
The formula is: Total cost = (Average fixed cost x average variable cost) x Number of units produced.
Step 1
The cost of 4 packets of clay is given by:
4 x $2.79
Step 2
We will calculate the product:
4 x 2.79 = 11.16
Step 3
We will add the cost of 4 packets of clay and a pack of tools to get the total cost without tax:
$(11.16 + 1.79)
Step 4
We will add the numbers:
11.16 + 1.79 = 12.95
Step 5
The 6% tax on the total price is given by:
6% x $12.95
Step 6
We will calculate the sales tax:
6/100 x 12.95 = 0.777
Step 7
We will add the total cost without tax and tax amount to get the total amount paid:
$(12.95 + 0.777)
Step 8
We will add the amounts:
12.95 + 0.777 = 13.727
Step 9
YOU ALL DONE!
I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!
Troy uses colored sand to make sand art. The storage container for his sand is shaped like a right square prism. He pours some of the sand into a display container shaped like a right triangular prism. When he is done, the height of the sand left in the storage container is 4 in. What is the height of the sand in the display container?
The height of the sand in the display container is 12 inches when the display container is right triangular prism.
What is right triangular prism ?
A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.
To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.
The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:
\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)
Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.
Then, the volume of the display container is:
\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)
where (1/2) is the area of the triangle base of the display container.
Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:
216 = 18H
H = 12 inches
Therefore, the height of the sand in the display container is 12 inches.
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the recommended par stock for the average bar is: the recommended par stock for the average bar is: 3 times the needs of the bar's busiest day 2 times the needs of the bar's typical day 4 times the needs of the bar's typical day 1.5 times the needs of the bar's busiest day
A predicate nominative is a noun or a pronoun which follows the verb and describes the subject.
What is the busiest bar night of the year?Thanksgiving Eve is the biggest bar night of the year. Doctors warn against it for 2021. The night before Thanksgiving, sometimes referred to as "Drinks giving" or "Blackout Wednesday," is typically one of the most crowded bar nights out of the year.In order to design a telephony circuit, trunk, or call center, it is needed to take into account the busiest calling hour (as a "sliding" 60-minute period) in one day, or week, month or year, generally calculated as an average.This period is called the "busy hour" and is used to compute the traffic intensity, in Erlangs, considering that if the circuit is busy 100% of the time during 3600 seconds, it will be cursing 1 Erl of traffic.This traffic can result from 60 calls of 1 min each, 36 calls of 100 sec each, or any combination that have the same outcome of 1 Erl. In order to define, for instance, the number of employees in a call center, a very important parameter is the average time used for each call, adding the queuing time, the true talk time and any other time needed to set up a successful call, i.e., the time that the subscriber stays on the phone after putting the call.To learn more about average bar refer to:
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what is 3,108 rounded to the nearest thousand
Answer:
3100
Step-by-step explanation:
Answer:
3,000
Step-by-step explanation:
If the question was about 3,500 it would be rounded to 4,000
If the question was about 2,499 it would be rounded to 2,000
If it is in between 3,449 and 2,500 then it would be rounded to 3,000 which 3,108 is