having that x=4, we get that
[tex]y=2\cdot4+8=16[/tex]Which of the following proportions can be used to solve the problem below?Suppose you are using a photocopier to reduce the size of a picture that is 10 inches wide by 12 inches long. If you reduce the picture so that it is 9 inches wide, how long will it be?
We are asked to determine the length of a picture that is originally 10 inches wide and 12 inches long.
By reducing it we must keep the same proportion between length and width. Therefore, the ratio between length and width must remain the same. The ratio between width and length is:
[tex]\frac{10}{12}[/tex]Now, we set this equal to the ratio of the reduced picture:
[tex]\frac{10}{12}=\frac{9}{x}[/tex]Therefore, the right proportion is B
c 1150Solve for the length of the arc, to the nearest tenth.2.08.016.150.3
ANSWER
8.0
EXPLANATION
If the central angle θ is in degrees and the radius is r, the length of the arc 's' is:
[tex]s=\frac{\theta}{360}\times2\pi r[/tex]In this problem θ = 115º, r = 4:
which property is illustrated by the statement 8 + 2 equals 2 + 8? A. Associative B. commutative C. Distributive D. Identity
8+2=2+8 is result of the commutative property. Then, the answer is option B
(5x 10-6)(3x 10-4)(5x 10-6) (3 x 10 - 4) =PLS HELP IT’S DUE TNNNN !
we can multiply the normal numbers on the one hand and the scientific notation on the other hand
so
[tex]\begin{gathered} (5\times3)(10^{-6}\times10^{-4}) \\ (15)(10^{-6+(-4)}) \\ =15\times10^{-10}=1.5\times10^{-9} \end{gathered}[/tex]Is TAG BAG? IF so, identif th similarity postulate or theorem that applies
Step 1
Given;
[tex]Triangle\text{ TAG \textasciitilde Triangle BAG}[/tex]Required; To find the similarity postulate or theorem that applies.
Step 2
Both triangles share one side AG
They also have a common angle;
[tex]90^o[/tex]Side AG = 10 units and ∠AGT ≅ ∠AGB.
Thus, options A and B are discarded.
Step 3
Now, as for the SAS criteria, we need two sides to be congruent and their included angles to be congruent.
But, as no other information is given, we cannot determine whether the given triangles are congruent or not.
Therefore, the answer is; Option D
[tex]cannot\text{ be determined}[/tex]In the news you hear “ tuition is expected to increase from the current cost of $1,050 to $2,050 over the next ten years.” This represents a __% increase from the current tuition.
According to the information given in the exercise, the tuition is expected to increase from $1,050 to $2,050 over the next ten years.
Then, you need to use the following formula in order to solve this exercise:
[tex]Percentage\text{ }Increase=\frac{Final\text{ }value-Initial\text{ }value}{|Initial\text{ }value|}\cdot100[/tex]In this case:
[tex]\begin{gathered} Initial\text{ }value=1,050 \\ Final\text{ }value=2,050 \end{gathered}[/tex]Therefore, substituting these values into the formula and evaluating, you get:
[tex]\begin{gathered} PercentageIncrease=\frac{2,050-1,050}{|1,050|}\cdot100 \\ \\ PercentageIncrease=95.24 \end{gathered}[/tex]Hence, the answer is: 95.24% increase.
HELP ASAP!
Put (-3y + 6 < x) in slope-intercept form.
Step-by-step explanation:
so slope intercept form is y=mx+b or in this case y<mx+b
so you just need to solve for y
start by subtracting 6 from both sides getting -3y< x + 6 than you just divided by a -3 when you divide by a negative number you have to change the inequality so you would get y> -(x+6)/3 that would be your answer hopefully that helps. have a great day
Find the sales tax and total cost of a wireless mouse that costs $20.99. The tax rate is 4%. Round your answer to the nearest cent.
Sales tax = $0.84
Total cost = $21.07
Explanations:Cost Price = $20.99
Tax rate = 4% = 4/100 = 0.04
Sales tax = (Tax rate) x (cost Price)
Sales tax = 0.04 x 20.99
Sales tax = $0.8396
Sales tax = $0.84 (to the nearest cent)
Total cost = Cost price + sales tax
Total cost = $20.99 + $0.84
Total cost = $21.074
Total cost = $21.07 (to the nearest cent)
Use the Trapezoidal Rule to approximate ∫2−1ex2dx using n=4. Round your answer to the nearest hundredth.
what digit is in the
So, let's turn the notation from mixed number to fraction:
[tex]1\frac{11}{100}\text{ = }\frac{100}{100}+\frac{11}{100}=\text{ }\frac{111}{100}[/tex]As you can see, the whole becomes 100/100 and then you just add the numerators.
Answer: 111/100
Hi, can you help me to solve this problem, please!!!
The given parabola is:
[tex]y=-3x^2+3x-6[/tex]It is written in the form:
[tex]y=ax^2+bx+c[/tex]The axis of symmetry is given by the following formula:
[tex]x=-\frac{b}{2a}[/tex]Where a=-3 and b=3. Replace these values and solve for x:
[tex]\begin{gathered} x=-\frac{3}{2(-3)}=-\frac{3}{-6}=\frac{3}{6} \\ \text{Divide numerator and denominator by 3 to simplify} \\ x=\frac{3/3}{6/3}=\frac{1}{2} \end{gathered}[/tex]Therefore, the axis of symmetry is x=1/2
What is the lateral surface area of the square pyramidrepresented by this net?11 ft8 ftEnter your answer in the box.11 ft11 ftA8 ft다ft?111 ft
Surface area of a square pyramid is given as:
[tex]\begin{gathered} \text{Surface area = }Area\text{ of base + }\frac{1}{2}PS \\ \text{where P = perimeter of base} \\ S\text{ = slant height} \end{gathered}[/tex][tex]\begin{gathered} \text{Area of base = area of square} \\ \text{Area of base = }(length)^2 \\ \text{length = 8 }ft \\ \text{Area of base = 8}^{\text{ 2}}=64ft^2 \end{gathered}[/tex][tex]\begin{gathered} \text{Perimeter of base = 4(length)} \\ \text{Perimeter of base = 4(8) = 32 ft} \end{gathered}[/tex][tex]\begin{gathered} \text{slant height = }11\text{ ft} \\ \\ \text{The surface area = 64 + }\frac{1}{2}(32\times11) \\ \\ \text{The surface area = 64 + }\frac{1}{2}(352) \end{gathered}[/tex][tex]\begin{gathered} \text{The surface area = 64 + 176} \\ \text{The surface area = }240ft^2 \end{gathered}[/tex]A grain silo is shown below:168 ft6 ftWhat is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use22/7 for pi
Solution
Step 1
[tex]\begin{gathered} \text{The volume of the silo = volume of a cylinder + volume of the } \\ \text{ hemisphere} \\ The\text{ volume of the silo = }\pi r^2h\text{ + }\frac{2}{3}\pi r^3 \end{gathered}[/tex]Step 2
[tex]\begin{gathered} \text{h = 168} \\ \text{r = 6} \end{gathered}[/tex]Step 3
[tex]\begin{gathered} Volume\text{ = }\frac{22}{7}\times6^2\times\text{ 168 + }\frac{2}{3}\times\frac{22}{7}\times\text{ 6}^5 \\ Volume\text{ = }19008\text{ + 452.5714286} \\ Volume\text{ =19460.571 } \end{gathered}[/tex]Final answer
19461
Give ordered pairs that are solutions and graph the equation.2y = 5x – 10Complete the ordered pairs so they are solutions to the given equation.
Answer:
The equation is given below as
[tex]2y=5x-10[/tex]Concept:
To calculate the value of y when x=0, we will substitute the x=0 in the equation above and solve for y
By substituting the values, we will have
When x=0
[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(0)-10 \\ 2y=-10 \\ \frac{2y}{2}=-\frac{10}{2} \\ y=-5 \\ (0,-5) \end{gathered}[/tex]When x=1
[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(1)-10 \\ 2y=5-10 \\ 2y=-5 \\ \frac{2y}{2}=-\frac{5}{2} \\ y=-2.5 \\ (0,-2.5) \end{gathered}[/tex]When x=2
[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(2)-10 \\ 2y=10-10 \\ 2y=0 \\ \frac{2y}{2}=\frac{0}{2} \\ y=0 \\ (2,0) \end{gathered}[/tex]When x=3
[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(3)-10 \\ 2y=15-10 \\ 2y=5 \\ \frac{2y}{2}=\frac{5}{2} \\ y=2.5 \\ (3,2.5) \end{gathered}[/tex]When x=4
[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(4)-10 \\ 2y=20-10 \\ 2y=10 \\ \frac{2y}{2}=\frac{10}{2} \\ y=5 \\ (4,5) \end{gathered}[/tex]Hence,
By graphing using the ordered pairs below, we will have
[tex]\begin{gathered} (2,0) \\ (0,-5) \end{gathered}[/tex]Share it: Due:Friday, Aug 28, 2020, 12:00 AM How is comparing and ordering rational numbers different from comparing and ordering integers? Be specific.
hello
to compare or know the difference between rational numbers and integers
rational numbers are numbers in which are expressed as fractions of two integers eg a/b where b is a non zero number
integers are whole numbers in mathemathics without the expression in fraction or rather they're expressed in fractions but the denominator must be equal to 1
now when we want to compare and order integers, they're prefereably done using the number line system.
for an integer
[tex]\begin{gathered} in\text{ the number line system} \\ -3>\text{ }-4 \\ 2\text{ }<\text{ 3} \end{gathered}[/tex]while in rational numbers,
[tex]\begin{gathered} \frac{1}{2}\text{ }>\text{ }\frac{1}{4} \\ -\frac{2}{3}\text{ <}\frac{1}{2} \end{gathered}[/tex]The diagonales of this rhombus are 3 meterse and 8 meters
Area of a rhombus = 1/2 x d1 x d2
d1= diagonal 1 = 8m
d2 = diagonal 2 = 3m
Replacing:
A = 1/2 x 8 x 3 = 12 m2
Neglecting air resistance, the distance (d) that an object fallsvaries directly as the square of the time (t) it has been falling.If an object falls 64 feet in 2 seconds, determine the distanceit will fall in 6 seconds.
where a is a constant, we can find a with the first statement:
"an object falls 64 feet in 2 seconds"
so:
[tex]\begin{gathered} 64=a(2)^2 \\ a=\frac{64}{2^2} \\ a=16 \end{gathered}[/tex]the complete equation is
[tex]d(t)=16t^2[/tex]now "determine the distance for 6seconds"
so, replace t=6 and find d
[tex]\begin{gathered} d(t)=16(6)^2 \\ d(t)=576ft \end{gathered}[/tex]the distance is 576ft
Question #1: The International Special Olympics were held in New York City. The USA team won 25 medals; Gold
[8], Silver [10], and Bronze [7]. Using the table below, construct a frequency distribution table that includes both
the relative frequency and the frequency percentage.
Class Level rf f%
Gold
Silver
Bronze
The frequency distribution table includes both the relative frequency and the frequency percentage given below.
Class Level Relative frequency frequency %
Gold 8/25 × 100 = 0.032 32%
Silver 10/25 × 100 = 0.04 40%
Bronze 7/25 × 100 = 0.028 28%
What is Relative frequency?The Relative frequency is an estimate or estimator of a probability in terms of statistics.
In straightforward situations, where the outcome of a trial just establishes whether the predetermined event has taken place, modeling using a binomial distribution may be suitable, and the empirical estimate is then the maximum likelihood estimate.
If specific conditions for the prior distribution of the probability are met, it is the Bayesian estimate for the same case. If a trial produces additional data, the relative frequency can be enhanced by adding new hypotheses in the form of a statistical model; if this model is fitted, it can be used to determine an estimate of the likelihood of the desired event.
To learn more about Relative frequency from the given link
https://brainly.com/question/16832475
#SPJ4
I'll upload pictures
Find similar triangles
Triangle PQS is similar to triangle PSR
Reason for this similarity is
RS/ PS = PS / QS
In consecuence
PS^2 = RS • QS
PART 3
RS = 4, RQ= 16. Find RP
Then
RP ^2 = RQ • RS
RP = √ (4•16) = 8
Can you help me find the angles of x°, R, Q, and P?
SOLUTION
Using the theorem
The sum of angles in a triangle is 180°
Then we have
[tex]P^0+Q^0+R^0=180^0[/tex]from the diagram in the questions
[tex]\begin{gathered} P=x-11 \\ Q=3x+6 \\ R=x \end{gathered}[/tex]Substituting the parameters we have
[tex]\begin{gathered} (x-11)^0+(3x+6)^0+x^0=180^0 \\ \text{ Remove the parenthesis} \\ x-11+3x+6+x=180^0 \\ \text{ Rearrange the expression} \\ x+3x+x+6-11=180^0 \end{gathered}[/tex]Simplify the equation above
[tex]\begin{gathered} 5x-5=180^0 \\ 5x=180+5 \\ 5x=185 \\ \text{Divide both sides by 5} \\ x=\frac{185}{5} \end{gathered}[/tex]Therefore
[tex]x=39^0^{}[/tex]Hence
The value of x is 39°
What are the dimensions of a parallelogram in terms of the demensioms of the circle?
If we divide a circle into a number of equal segments then stack them in a row head-to-tail, the new shape is a parallelogram with bumpy sides, with the same area as the circle.
We can conclude the following:
1. The base of a parallelogram is approximately equal to half the circumference of the circle
2. The height of the parallelogram is approximately equal to the radius of the circle
3. The area of the parallelogram is equal to the area of the circle.
Assume the random variable x is normally distributed with mean μ = 83 and standard deviation o=4. Find the indicated probability.P(70
SOLUTION
Given the question in the image on the question tab;
[tex]P(70Now, we are going to find;[tex]P(-3.25[tex]Using\text{ statistical table for normal distribution; the probability is:}[/tex][tex]0.0662301762265\times100=6.623\%[/tex]
Final answer:
[tex]\begin{equation*} 6.623\% \end{equation*}[/tex]Mrs. Burke's biology class has 128 students, classified by academic year and major, as illustrated in the table. Mrs. Burke randomly chooses one student to collectyesterday's work.Mrs. Burke's Biology ClassAcademic Year Biology MajorsFreshmenSophomoresJuniorsSeniors19171617Non-Biology Majors17141018Step 2 of 2: What is the probability that she selects a senior, given that she chooses a biology major? Enter a fraction or round your answer to 4 decimal places, ifnecessary.
Total: 128 students
1. The probability that she selects a senior, given that she chooses a biology major is given by:
[tex]P=\frac{seniors}{biolog\text{y majors}}=\frac{17}{19+17+16+17}=\frac{17}{69}=0.2464[/tex]Answer: 0.2464
The Honeywell HQ17 air cleaner takes twice as long as the EV25 to clean the samevolume of air. Together the two machines can clean the air in a 25-ft by 24-ft banquetroom in 10 minutes. How long would it take each machine working alone to clean the airin the room?
Given:
The Honeywell HQ17 air cleaner takes twice as long as the EV25 to clean the same
volume of air.
Let, x be the time taken by Honeywell EV25 air cleaner.
And 2x be the time taken by Honeywell HQ17 air cleaner.
Together the two machines can clean the air in 10 min.
[tex]\begin{gathered} x+2x=10 \\ 3x=10 \\ x=\frac{10}{3}=3.33\text{ min} \end{gathered}[/tex]So, time takes by Honeywell HQ17 air cleaner is,
[tex]2x=2(\frac{10}{3})=6.67\text{ min}[/tex]Answer:
The time taken by Honeywell EV25 air cleaner is 3.33 min.
The time taken by Honeywell HQ17 air cleaner is 6.67 min.
Find the area of the triangle. Round to the nearest tenth. a=28.5 b=33.4 c=22.3
solution
for this case we can use the Herons formula given by:
[tex]A=\sqrt[]{s(s-a)(s-b)(s-c)}[/tex]Where s is the semiperimeter given by:
[tex]s=\frac{a+b+c}{2}=\frac{33.4+28.5+22.3}{2}=42.1[/tex]And we can find the area on this way:
[tex]A=\sqrt[]{42.1(42.1-33.4)(42.1-28.5)(42.1-22.3)}=314.05[/tex]And rounded to the nearest tenth would be:
314.1
Compare two sequence 2 4 6 8 102 4 8 16 32
The given sequences are
[tex]\begin{gathered} 2,4,6,8,10\rightarrow(1) \\ 2,4,8,16,32\rightarrow(2) \end{gathered}[/tex]In the sequence (1):
[tex]\begin{gathered} 4-2=2 \\ 6-4=2 \\ 8-6=2 \\ 10-8=2 \end{gathered}[/tex]There is a common difference of 2
Then it is an arithmetic sequence
In the sequence (2):
[tex]\begin{gathered} \frac{4}{2}=2 \\ \frac{8}{4}=2 \\ \frac{16}{8}=2 \\ \frac{32}{16}=2 \end{gathered}[/tex]There is a common ratio of 2
Then it is a geometric sequence
The first sequence is increasing by 2
The second sequence is multiplying by 2
14. A poll was taken of 13,875 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below.Education LevelMaleFemaleTotalHigh School or Less299934306429Bachelor's Degree315131736324Master's Degree4975061003Ph.D.5465119Total6701717413,875A person is selected at random. Compute the following probabilities.(a) What is the probability that the selected person is a male? (b) What is the probability that the selected person does not have a Ph.D.? (c) What is the probability that the selected person has a Master's degree? (d) What is the probability that the selected person is female and has a Master's degree?
Part a
What is the probability that the selected person is a male?
P=6,701/13,875
P=0.4830
Part b
What is the probability that the selected person does not have a Ph.D.?
P=1-119/13,875
P=0.9914
Part c
What is the probability that the selected person has a Master's degree?
P=1,003/13,875
P=0.0723
Part d
What is the probability that the selected person is female and has a Master's degree?
P=506/13,875
P=0.0365
USMZABC = 40'and BỎ is the anglebisector of ZABC3y+6B.3x-134-2xD5y-18MZABD =[ ? 1°Enter
We want to calculate the value of
[tex]3x-1[/tex]However, x is unknown. For BD is "angle bisector"
[tex]3x-1=34-2x[/tex]Let us solve that equation for x:
[tex]3x+2x=34+1[/tex](-2x was sent to the left-hand side, and -1 was sent to the right-hand side)
[tex]5x=35[/tex][tex]x=7[/tex]Then,
[tex]3x-1=3(7)-1=21-1=20[/tex]Thus,
[tex]m\measuredangle ABD=20[/tex]Let f(x) = 3x – 3 and g(x) = x + 5. Find f(g(x)) and g(f(x)).
given data:
[tex]\begin{gathered} f\mleft(x\mright)=3x-3 \\ g\mleft(x\mright)=x+5 \end{gathered}[/tex]to find:
[tex]f\mleft(g\mleft(x\mright)\mright)\text{ and }g\mleft(f\mleft(x\mright)\mright)[/tex][tex]\begin{gathered} g(x)=x+5 \\ =f(x+5) \\ =3(x+5)-3 \\ =3x+12 \end{gathered}[/tex][tex]\begin{gathered} f(x)=3x-3 \\ =g(3x-3) \\ =(3x-3)+5 \\ =3x+2 \end{gathered}[/tex]Given a right triangle, what is the measure of 2B if ZA = 35º and b = 7?(Round your answer to the nearest degree.)
Let us make a drawing of the triangle:
Let's remember that the three angles of a triangle add up to 180 degrees. Then,
[tex]\measuredangle A+\measuredangle B+\measuredangle C=180\degree[/tex]Since our triangle is right, we have
[tex]\measuredangle C=90\degree[/tex]Thus
[tex]35\degree+\measuredangle B+90\degree=180\degree[/tex][tex]\measuredangle B=180\degree-90\degree-35\degree=55\degree[/tex]This means that the answer is 55°.