Answers
Tell me if you need explanation
Related Questions
Find the value of x.
B
A
2
30°
5
30°
5
x = [?]
X
C
D
Answers
Not sure if I'm right but I think it's 4.4. If I'm wrong I'm sorry, if someone can tell me if ik right that would be great. <3
Explain how to draw a line segments that measures 2 7/16 inches.
Answers
The line segment which represents 2 7/16 inches should first be drawn with the use of a ruler.
What is a Ruler?This is referred to an instrument which is used to measure distances between points or draw straight lines and also usually graduated in inches.
On the inches graduation, the zero mark should be located and the 1/16 inch which is found before the half-inch mark between 2 and 3 inches. When this is done, a line should be drawn to meet both points which will therefore measure 2 7/16 inches long.
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Lindsay is checking out books at the library, and she is primarily interested in mysteries and nonfiction. She has narrowed her selections down to six mysteries and nine nonfiction books. If she randomly chooses three books from her selections, what’s the probability that they will all be nonfiction? Enter a fraction or round your answer to 4 decimal places, if necessary.
Please explain in detail
Answers
The probability that all 3 books would be nonfiction is 0.1846.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that all 3 books would be nonfiction = (number of non fiction books / total number of books) x (number of non fiction books - 1 / total number of books - 1) x (number of non fiction books - 2 / total number of books - 2)
9 /15 x 8/14 x 7/13 = 0.1846
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An equestrian club orders magazine subscriptions for new members.
Last year they had 32 new members and spent $624 on subscriptions.
Use the equation 32m = 624 to find the cost of each subscription.
Enter your answer in the box.
Answers
Answer:
$19.50
Step-by-step explanation:
Dividing both sides by 32, we get $19.50.
"You helped 3.6 customers per half hour yesterday."
Employee: "So I helped __________ customers in 7.5 hours yesterday."
Answers
Answer: 54
Step-by-step explanation:
So I helped 54 customers in 7.5 hours yesterday.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
You helped 3.6 customers per half hour yesterday.
That means,
for one hour:
Using multiplication
(3.6) x 2 per 1/2 x 2 hours
7.2 per hour.
Therefore,
if n hours so,
(7.2) per n hours
Here, n = 7.5
(7.2) x (7.5) per 7.5 hours
54 customers per 7.5 hours.
Therefore, I helped 54 people in 7.5 hours.
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You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y = –x2 + 9x + 8 and the path of the dog is modeled by y = 3x + 8, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?
Yes, they intersect at the coordinates (0, 8) and (3,17)
Yes, they intersect at the coordinates (0, 8) and (4, 20)
Yes, they intersect at the coordinates (0, 8) and (6, 26)
No, the paths do not cross
Answers
Solving a quadratic equation, the correct option is given by:
Yes, they intersect at the coordinates (0, 8) and (6, 26).
What is a quadratic function?A quadratic function is given according to the following rule:
y = ax² + bx + c
The solutions are:
x1 = (-b + sqrt(Delta))/2a
x2 = (-b - sqrt(Delta))/2a
In which:
Delta = b² - 4ac
The equation for this system if:
-x² + 9x + 8 = 3x + 8
x² - 6x = 0
x(x - 6) = 0
Then:
x = 0 -> y = 3 x 0 + 8 = 8.x - 6 = 0 -> x = 6, y = 3 x 6 + 8 = 26.Which means that the correct option is:
Yes, they intersect at the coordinates (0, 8) and (6, 26).
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A body and tackle with a velocity ratio of 5 is used to raise a mass of 50kg through a vertical distance of 20n at a steady rate if the effort is equal to 80n. Determine (a) distance moved by effort (b)the workdone by the effort in lifting the load (c)the losses in energy involve the operating in machine
Answers
A. The distance moved by the effort is 100 m
B. The workdone by the effort in lifting the load is 8000 J
C. The losses in energy involve the operating in machine 1800 J
A. How to determine the distance moved by the effortVelocity ratio = 5Load distance = 20 mEffort distance =?Velocity ratio = Effort distance / Load distance
5 = Effort distance / 20
Cross multiply
Effort distance = 5 × 20
Effort distance = 100 m
B. How to determine the work done by the effortEffort distance = 100Effort = 80 NWorkdone by effort =?Workdone = force × distance
Workdone by effort = 80 × 100
Workdone by effort = 8000 J
C. How to determine the losses in the energyWe'll begin by calculating the workdone in lifting the load. This is illustrated below:
Mass (m) = 50 KgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 20 mWorkdone =?Workdone = mgh
Workdone = 50 × 9.8 × 20
Workdone = 9800 J
Now, we can determine the energy lost as follow:
Workdone = 9800 JWorkdone by effort = 8000 JEnergy lost =?Energy lost = 9800 - 8000
Energy lost = 1800 J
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100 POINTS
Construct a horizontal line that passes through the intersection of lines AC and BC at point C. Add a vertical line segment connecting the horizontal line to line AC called FG and another vertical line connecting the horizontal line to line BC called DE.
Complete the proof.
LOOK AT IMAGE PLEASE
Answers
The blanks are as follows:
Angle addition postulateSubtraction property of equalityCorresponding sides of similar triangles are proportionalMultiplication property of equalitya coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22 Cold 8 12 5 What is the probability that a customer ordered a large given that he or she ordered a cold drink? Rounded to the nearest percent, [? ]% Enter
Answers
Using it's concept, there is a 20% probability that a customer ordered a large given that he or she ordered a cold drink.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 8 + 12 + 5 = 25 people ordered a cold drink, and of them, 5 were large, hence the probability is:
p = 5/25 = 0.2 = 20%.
20% probability that a customer ordered a large given that he or she ordered a cold drink.
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(02.04 LC)
Determine the equation of the line shown in the graph:
graph of a vertical line with an x intercept of negative 1
y = −1
y = 0
x = −1
x = 0
Answers
Answer:
x = - 1
Step-by-step explanation:
the equation of a vertical line is
x = c
where c is the value of the x- coordinates the line passes through
the line passes through the x- intercept of - 1 , then
x = - 1 ← equation of vertical line
DEFG is a rumbus. Find the vaule
Answers
Step-by-step explanation:
in a rhombus (not rumbus !) all sides are equally long.
that means
7x - 4 = 3x + 12
4x = 8
x = 2
Answer:
Step-by-step explanation:
The sides of a square are equal to each other, it is with the same with rhombus.
With this information, we can Say that [tex]DE[/tex] is equal to line [tex]GD[/tex], with
[tex]DE =7x-4GD=3x+12[/tex]
[tex]7x-4=3x+12\\[/tex]
Take [tex]3x[/tex] from both sides.
[tex]4x-4=12[/tex]
Add 4 to isolate X
[tex]4x=16[/tex]
Divide by 4
[tex]x=4\\[/tex]
So we can say that the value of [tex]x[/tex] is 4
PLEASE HELPPPPPPPPPPPP!!!!!!! IM BEING TIMEDDDDDD
Answers
Answer:
119°
Step-by-step explanation:
the angles of a triangle make 180° (so does a straight line) therefore
180 (triangle) = a + c + 51
to find c:
180 (straight line) = 112 + c
c = 180 - 112
c = 68°
now we have
180 (triangle) = a + 68 + 51
to find a:
a = 180 - (68 + 51)
a = 180 - 119
a = 61°
to find b:
180 (straight line) = 61 + b
b = 180 - 61
b = 119°
Given the functions f(x) = x3 + x2 – 3x + 4 and g(x) = 2^x– 4, (Consider domain, range, x-intercepts, and y-intercepts.)
Answers
The first function is a type of cubic function and the second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function given in the problem is:
f(x) = x³ + x² – 3x + 4
The highest degree (power) of this function is 3. Thus, this function is a type of cubic function.
The second function given in the problem is:
g(x) = 2x – 4
The highest degree (power) of this function is 1. Thus, this function is a type of linear function.
Both the function has the value of domain and range from -∞ to ∞ (-∞,∞).
Thus, the first function is a type of cubic function and second function is a type of linear function. The key feature(s) do f(x) and g(x) have in common as they both have value of domain and range as (-∞, ∞).
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Kristina wants to invest $6200 in a savings account that pays 7.6% simple interest. How long will it take for this investment to double in value? Round your answer to the nearest tenth.
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The number of years it would take the investment to double in value is 13.2 years.
How long will it take for the investment to double?When the amount doubles, the interest earned would be $6200.
Time = interest earned / (amount invested x simple interest)
$6200 / (6200 x 0.076) = 13.2 years
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A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?
Answers
The exponential growth formula is 3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet is 63.16 years.
What is the exponential growth formula?The exponential growth formula usually has this form:
FV = P (1 + r)^n
FV = Future growth P = Present growth R = rate of growthN = number of years3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years
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If a boat with a value of $23, 000 depreciates at a rate of 18% per year, what is the value
after 5 years?
Answers
The value of the car after 5 years is 8527.02 dollars
How to find the value after depreciation?Depreciation is the reduction in the value of an asset over time due to elements such as wear and tear. For example a car is said to "depreciate" in value after a discovery of a faulty transmission.
The value after 5 years can be found as follows:
Rate = 18% = 18 / 100 = 0.18
Initial Value = $23,000
time = 5 years
Therefore,
y = 23000(1 + 18%)⁵
y = 23000(1 - 0.18)⁵
y = 23000(0.82)⁵
y = 23000 × 0.3707398432
y = 8527.0163936
y = 8527.02 dollars
Therefore, the value of the car after 5 years is 8527.02 dollars
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Using an exponential function, it is found that the value of the car after 5 years will be of $8,527.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.For this problem, the initial cost and the decay rate are given as follows:
A(0) = 23000, r = 0.18.
Hence the value of the boat after t years is given as follows:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 23000(1 - 0.18)^t[/tex]
[tex]A(t) = 23000(0.82)^t[/tex]
The value after 5 years will be of:
[tex]A(5) = 23000(0.82)^5 = 8527[/tex]
The value of the car after 5 years will be of $8,527.
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Which of the following graphs represents a function?
Answers
The third graph represents a function.
In a function, every input (x value) has exactly one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.
A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.
In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.
Eddie built the ramp shown to train his puppy to do tricks.
The dimensions are
25 in.15 in.20 in. 20 in.20 in. 23 in.25 in
HELP PLEASE!!!
Answers
The surface area of the trapezoidal prism is: 4,190 in.².
What is the Surface Area of a Trapezoidal Prism?Surface area = (b1+b2)h + PH, where:
Length of the base of the trapezoid (b1) = 20 in.Length of the base of the trapezoid (b2) = 60 in.Height of the trapezoid (h) = 15 in.Perimeter of the trapezoid (P) = 60 + 25 + 20 25 = 130 in.Height of the prism (H) = 23 in.Plug in the values
Surface area = (b1+b2)h + PH = (20 + 60)15 + (130)(23)
Surface area = 4,190 in.²
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Grace and Jack are playing a game with a gigantic bucket of markers. Jack took a random sample of markers from the bucket and counted 12 yellow markers, 37 blue markers, and 1 red marker. Use the observed frequencies to create a probability model for the color of the next randomly selected marker from the gigantic bucket of markers. Input your answers as fractions or as decimals rounded to the nearest hundredth.
Answers
Using the given frequencies, the probabilities for the next color chosen is:
P(yellow) = 0.24.P(blue) = 0.74.P(red) = 0.02What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
There were 50 markers, of which 12 were yellow, 37 blue and 1 red, hence the probabilities for each are given as follows:
P(yellow) = 12/50 = 0.24.P(blue) = 37/50 = 0.74.P(red) = 1/50 = 0.02More can be learned about probabilities at https://brainly.com/question/14398287
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Jan and Jo live 1,170 miles apart. At the same time, they start driving toward each other on the same road. Jo’s constant rate is 60 mph. Jan’s is 70 mph. How long will it take them to meet?
A. 8 hours
B. 9 hours
C. 16 hours
D. 19 hours
Answers
Answer: B. 9 hours
Step-by-step explanation:
Question analysis (Optional if you can understand the question)
Since they are 1170 miles apart, with their speed, the question is asking how long would it take them to travel 1170 miles together.
In other words, the distance that Jo and Jan together add up to 1170 miles.
Given information
Total distance = 1170 miles
Jo's rate = 60 mph
Jan's rate = 70 mph
Set variables
Let x be the time they took to meet each other
Set equation
60x + 70x = 1170
Solve equation
130x = 1170
Divide 130 on both sides
130x / 130 = 1170 / 130
[tex]\boxed{x=9 \: hrs}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Bruce pitches for his little brother's baseball team. He has observed that the number of pitches a batter hits varies and is given by the function f(x) = x – 11, where x is the number of pitches and f(x) is the number of hits. If batters get {4, 12, 14, 27, 42} hits, how many pitches did Bruce throw? A. {13, 21, 24, 26, 44} B. {17, 24, 27, 28, 35} C. {20, 27, 32, 33, 45} D. {15, 23, 25, 38, 53}
Answers
Answer:
D.{15,23,25,38,53}
Step-by-step explanation:
Replace f(x) with any other variables of your choice.
Substitute the value of the variable for the given set of hits
that is {4,12,14,27,42}
Solve for x for each value of the variable from the above set
Put all the solution for x in a set that is inside {,} brackets.
The correct option should be D
Translate the following phrase into algebraic expression , the number of dollars Paul owes minus 32
Answers
Using a system of equations, the translated expression is:
P - 32.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variable is the number of dollars Paul owes, which is P. That amount minus 32 is represented by:
P - 32.
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Solve the following system of equations.
d + e = 6
d – e = 4
infinite number of solutions
infinite number of solutions
(5, 1)
(5, 1)
no solution
no solution
(3, –1)
(3, –1)
Answers
Answer: (5,1)
Step-by-step explanation:
Adding the equations gives 2d=10, and thus d=5.
So, it follows e=1.
Therefore, the solution is (5,1).
The solution is (5,1)
Given that d+e =6 and d-e =4
We need to find the solution of the given equations
Elimination method is used to eliminate a variable in an equation to find the value of another variable
Now here ,
We we will solve the equation i.e
d+e = 6
d-e = 4
Solving this equation We get,
2d = 10
Therefore,
d= 5
Now substituting the value of d in equation d+e =6
therefore,
5+e =6
Therefore e = 1
Hence the solution is (5,1)
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Select the correct answer.
What is the range of the function shown in the graph?
Answers
keeping in mind that the range is vertical values covered by the function, Check the picture below.
Find QR.
A).12
B).-8
C).9
D).6
Answers
Answer:
D. 6
Step-by-step explanation:
Let's first find x :-
[tex]\sf 3 + 2x + 22 = x + 17[/tex]
[tex]\sf 2x + 25 = x + 17[/tex][tex]\sf 2x - x = 17 - 25[/tex][tex]\sf x = - 8[/tex]Now that we found x, let's find QR :-
QR = 2x + 22
[tex]\sf QR = 2( - 8) + 22[/tex][tex] \sf - 16 + 22[/tex][tex]\sf 6[/tex]Therefore, QR = 6 !!!
Find the domain of the function. Express the exact answer using interval notation.
f(x) = 2/3x+8
Answers
Answer:
(-oo, -8/3) U (-8/3, oo)
Step-by-step explanation:
Hope this helps.
The domain of the equation f(x) = 2/(3x + 1) is (-∝, -8/3) U (-8/3, ∝)
How to calculate the domain of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 2/(3x + 1)
The above equation is a rational function
The rule of a function is that
The domain is the set of all input numbers
For the domain, we set the denominator not equal to 0
So, we have
3x + 8 ≠ 0
Evaluate
x ≠ -8/3
When represented as interval notation, we have
Domain = (-∝, -8/3) U (-8/3, ∝)
Hence, the domain is (-∝, -8/3) U (-8/3, ∝)
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solve the equation 13Z/Z+1 =11-3i, Z£C where Z=X+yi X&Y£R?
Answers
Presumably you mean the equation
[tex]\dfrac{13z}{z+1} = 11-3i[/tex]
Observe that for [tex]z\neq-1[/tex],
[tex]\dfrac{13z}{z+1} = \dfrac{13(z+1) - 13}{z+1} = 13 - \dfrac{13}{z+1}[/tex]
so we can simplify the equation to
[tex]13 - \dfrac{13}{z+1} = 11 - 3i \implies \dfrac{13}{z+1} = 13 - (11 - 3i) = 2+3i[/tex]
Multiply both sides by [tex]\frac{z+1}{2+3i}[/tex].
[tex]\dfrac{13}{z+1}=2+3i \implies \dfrac{13}{2+3i} = z+1 \implies z = \dfrac{13}{2+3i} - 1[/tex]
Rationalize the denominator by introducing its complex conjugate.
[tex]z = \dfrac{13(2-3i)}{(2+3i)(2-3i)} - 1 = \dfrac{26-39i}{2^2+3^2} - 1 = \boxed{1 - 3i}[/tex]
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of T Q is 16 and the length of R Q is 20.
What is the length of Line segment S R?
9 units
12 units
15 units
18 units
Answers
The length of the line segment SR is 15 units.
How to find the length of a line segment?In Δ SRQ as seen in the attached image, we see that;
∠SRQ is a right angle
SQ is the hypotenuse
RT ⊥ SQ
Thus, by triangular rules, we know that;
(RQ)² = TQ × SQ
RQ = 20 units and TQ = 16 units
Thus;
(20)² = 16 × SQ
400 = 16 × SQ
SQ = 400/16
SQ = 25 units
By using Pythagoras theorem in Δ SRQ, we have;
(SR)² + (RQ)² = (SQ)²
RQ = 20 units and SQ = 25 units
Thus;
(SR)² + (20)² = (25)²
(SR)² + 400 = 625
(SR)² = 225
SR = √225
SR = 15 units
The length of the line segment SR is 15 units.
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The sum
of three numbers is 24. If two numbers are 16 and 22, what is the third?
Answers
Answer:
-14
Step-by-step explanation:
[tex]16+22+x=24\\38+x=24\\x=-14[/tex]
4/3*(1/2-6)=(4/3*1/2)-(4/3-6)
Answers
Answer:
The product would be: -22/3 = 16/3, if true or false: false the left side -7.3 does not equal to the right side 5.3 which means the given statement is false, if it is evaluated -22/3 = 16/3, if multiplied it would still be -22/3 = 16/3 (you never said how to solve it so here are ways)