Answer:
11t.
hope this helps you
Suppose y varies directly with x. If y = 12 when x = 4, find x when y = 24.
Answer:
x would equal 8.
Step-by-step explanation:
Since when y = 12, x = 8, when y is 24, it is multiplied by 2. Multiple the x by 2 and it would be 8.
The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot.
39 feet
64 feet
79 feet
72 feet
96 feet
Answer:
79 ft
Step-by-step explanation:
Golden rectangle side ratios 1 : (1+sqrt5 )/2
(approx 1: 1.618)
15 + 15 + 2*15*1.618 = ~79 ft
BUT perhaps the 15 is the 1.618 side
15/1.618 + 15/1.618 + 15 + 15 ~ 49 feet
Which of these numbers is in the solution set of 9x = 63? A. 9 B. 7 C. 8 D. 6
Answer:
B: 7
Step-by-step explanation:
9x = 63
9/63 = 7
The number that is in the solution set of [tex]9x=63[/tex] is [tex]7[/tex]
PLS HELP ME I HAVE NO IDEA WHAT THESE ARE. If you can find all the answers and give me the words you would be a life saver
Answer:
SO EVERYONE WOULD SHOUT LOOK AT THE S CAR GO
Step-by-step explanation:
The brackets just mean to multiplye.g. 3(2)(5) is the same as 3 × 2 × 5When you get the answer, find in in the boxes below and write the letter of that equationI will not go through each question separately because it would take too long, but will give you the words3) Kathryn invests $5,403 in a savings
account with a fixed annual interest rate of
9% compounded 4 times per year.
How
long will it take for the account balance to
reach $14,382.05?
Answer:
t = 11 years
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 9/100
r = 0.09 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(14,382.05/5,403.00) / ( 4 × [ln(1 + 0.09/4)] )
t = ln(14,382.05/5,403.00) / ( 4 × [ln(1 + 0.0225)] )
t = 11 years
Summary:
The time required to get a total amount of $14,382.05 with compoundeded interest on a principal of $5,403.00 at an interest rate of 9% per year and compounded 4 times per year is 11 years.
pls help i really need it
Answer:
D
Step-by-step explanation:
Since a fraction is a division problem, you can do every answer and compare them until you get them in order, which D is the most reliable.
Identify the type of function represented by f(x)= 3(1.5)*.
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth
By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)
How to determine the nature of the function
In this question we must determine the kind of function according to its characteristics based on definitions of typical functions, which are represented below:
Quadratic
y = a · x² + b · x + c
This function is reduced into a linear function when a = 0.
Exponential
[tex]y = a \cdot b^{c\cdot t}[/tex]
Where:
c > 0 - Exponential growth.c < 0 - Exponential decay.By checking the definitions of typical functions, we conclude that the function f(x) = 3 · 1.5ˣ is an exponential growth function. (Correct answer: D)
Remark
The statement is poorly formatted. The correct statement is presented below:
Identify the type of function represented by f(x) = 3 · 1.5ˣ:
A. Quadratic
B. Exponential decay
C. Linear
D. Exponential growth
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Joe is measuring the widths of doors he bought to install in an apartment complex. He
measured 72 doors and found a mean width of 36.1 inches with a standard deviation of
0.3 inches. To test if the doors differ significantly from the standard industry width of 36
inches, he computes a z-statistic.
-M
Z=
on
What is the value of Joe's z-test statistic?
Thank you
The value of z test statistics is 2.83.
What is z score?Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.
You can plot a z-score on a normal distribution curve. The range of Z-scores ranges from -3 standard deviations (which would be on the far left of the normal distribution curve) to +3 standard deviations (which would fall to the far right of the normal distribution curve). You must be aware of the mean and population standard deviation in order to use a z-score.
Given mean = x = 36.1 inches
standard deviation = σ = 0.3
sample size = n = 72
and μ = 36.1
here z = (x - μ)/(σ/[tex]n^{1/2}[/tex])
z = (36.1 - 36 )(0.3/[tex]72^{1/2}[/tex])
z = 0.1/0.0354
z = 2.8248
z = 2.83
Hence the value of z test is 2.83.
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Which is the value of x?
(2x)
(x+84)
(3x)
Answer:
2, 1, 3
Step-by-step explanation:
Find the area of each triangle
Answer:
Step-by-step explanation:
There are 3 triangles in the picture: the one on the left, the one on the right, and the overall triangle. We must first find the areas of the two smaller triangles before finding the area of the whole thing.
To find the area of a triangle, you must multiply the two legs of the triangle by each other and then divide that number by 2. For the left triangle, this would be [tex](4*4)/2=8[/tex], meaning it has an area of 8 square meters. For the right triangle, this would be [tex](4*3)/2=6[/tex], meaning the triangle on the right has an area of 6 square meters.
There are multiple ways to find the area of the big triangle, since the hypotenuse of the left triangle has been rounded. One way to find the area of the big triangle,is to add the areas of the two smaller triangles: [tex]8+6=14[/tex] square meters. For a more exact answer, we would solve [tex](5.7*5)/2=14.25[/tex]sqaure meters using the legs of the big triangle.
Hope this helps! :)
Tell whether the angles are adjacent or vertical. Then find the value of $x$ .
Two lines intersect each other forming two pairs of opposite angles. The one pair of opposite angle is labeled left parenthesis x plus 3 right parenthesis degrees and 84 degrees.
Answer:
they are adjacent angles
Step-by-step explanation:
for adjacent angles
[tex]{(x + 3)}^{o} = {84}^{0} \\ x = 84 - 3 \\ x = 81[/tex]
What is the width of 200 feet and 27 feet
Answer:
Length: 7 11/27 ft.
Step-by-step explanation:
200/27 = 7 11/27
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected 6 or more bottles
The number of students who collected exactly 4 bottles
The total number of students who collected 12 or more bottles
Answer:
c
Step-by-step explanation:
As, there is no as such information regarding to number of students who collected exactly 4 bottles in histogram.
A triangle has side lengths of 14 yards, 17 yards, and 13 yards. What kind of triangle is it?
Given, in triangle abc, a = 32, b = 21 and angle between a and b is 40 degrees. Find the value of third side c. Options :
A 15
B 17.91
C 20.87
D 21.91
The law of cosine helps us to know the third side of a triangle. The value of third side c is 20.87.
What is the Law of Cosine?The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
Given, in ΔABC, a = 32, b = 21 and the angle between a and b is 40°, therefore, the value of ∠C=40°.
Now, the value of the third side of the triangle using the cosine law can be written,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}\\\\c=\sqrt{32^{2}+21^{2}-2(32 \times 21)\cdot \cos 40^o}\\\\c=\sqrt{1,024+441-1,029.5637}\\\\c=20.867 \approx 20.87[/tex]
Hence, the value of third side c is 20.87.
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Find the radius of a circle that has a circumference of
16 π
r=4
r= 8
r = 12
r = 16
Answer:
r=8
Step-by-step explanation:
Correct option is C)
Given, Circumference =16π
The circumference of a circle is given by 2πr.
Hence, 2πr=16πft
πr=8πft
r=8ft
Pls give me crown
5. One mile is 5,280 feet. Justin has a stride of 32 inches. How many steps will he take to run a 26-mile marathon? (1) 4,125 (2) 4,290 (3) 51,480 (4) 137,280 (5) 439,296
Answer:
(3) 51,480
Step-by-step explanation:
One mile is equal to 5,280 feet, so 26 miles is equa
3. 64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row, how many chairs could have been in each row? Explain your thinking
If the number of the seats are vacant is 8. Then the number of chairs in a row will be 8.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
64 chairs were arranged in equal rows. 56 students came to sit in the chairs. If the same number of students sat in each row. Then the number of the chair in a row will be
Let the number of the row be x. Then we have
[tex]\rm \dfrac{64}{x} = 8\\\\\\x \ \ = 8[/tex]
Then the number of the row is 8.
More about the division link is given below.
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Two angles of a quadrilateral measure 60° and 160°. The other two angles are in a ratio of 3:11. What are the measures of those two angles?
Answer:
30 and 110 degrees
Step-by-step explanation:
The angles sum to 360 degrees
you have 60 + 160 = 220 leaving 140 more in a ratio 3:11
one is 3 / (3+11) = 3/14 3/14 * 140 = 30 the other is 110
What is (-4, 2) reflected over the x axis
Answer:
(-4,-2)
Step-by-step explanation:
This is because in order to reflect over the x-axis, the x-axis stays the same and the y-value is the exact opposite of the original y-axis.
(x, y) = (x, -y) in other words.
This is as simple as I can put it, hope this helps :)
Please tell me if you need more help.
Answer: (-4,-2)
Step-by-step explanation:
the rule for reflecting over the x axis is
(x,y) = (x,-y)
(-4,2) = (-4, -2)
hope this helps :)
Your dad invested $30 for you in 1946 in a fund and you have not withdrawn any money since. If the fund has averaged a return of 7% over the last 70 years, what is the current value of that investment?
Answer:
50,000 years 90 months 17 days and 82 mins ok ok cool.
Step-by-step explanation:
ExplanatiOn
You deposit $10,000 in a bank for college. The bank will give you 2.4% interest continuously. How much is in your account after 7 years? ( round to the nearest cent (2 decimal places) )
Answer:
$12089.26
Step-by-step explanation:
10,000
1.024 (100% of 10,000 + 2.4%)
1.024 * 10,000 = 10240 (1 year)
1.024 * 10240 = 10485.76 (2 years)
1.024 * 10737.42 = 10995.12 (3 years)
1.024 * 10995.12 = 11259 (4 years)
1.024 * 11259 = 11529.22 (5 years)
1.024 * 11529.22 = 11805.92 (6 years)
1.024 * 11805.92 = 12089.26 (7 years)
GAIL IS TO BRING 72 COOKIES TO A PARTY.IF THE COOKIES ARE PACKAGE 12 TO A BAG, HOW MANY BAG WILL SHE NEED?
Answer:
6 bags
Step-by-step explanation:
72 divide by 12 equals 6.
(this is probability)
Answer:
Step-by-step explanation:
P(less than 6) = 2/5
There are 5 spaces total. Of these, only 2 spaces are less than 6, namely the pizza slices labeled "4" and "5".
That's how we get to 2/5
Sally bought 5.33 pounds of cheese at the deli. Dan bought 3.29 pounds of
cheese. How much more cheese did Sally buy than Dan? Do not include units
in your answer.
Answer:
2.04
Step-by-step explanation:
[tex]5.33-3.29=2.04[/tex]
Answer:
2.04
Step-by-step explanation:
5.33-3.29=2.045.33−3.29=2.04
Select the true equations from 2 lb =32 oz , 4oz = 64 lb , 3lb 4 oz = 52 oz , 0.5 lb = 12 oz , 3 T = 600 lb , 0.5 T = 1000 lb
2.
A standard piece of paper is estimated to be 0. 00005 meter thick. If the thickness, in meters,
of a standard piece of paper is rewritten as 5 x 10*, what is the value of x?
Answer:
x = -5
Step-by-step explanation:
[tex]0.00005 = 5 \times {10}^{ - 5} \\ \\ \implies \: x = - 5[/tex]
For the first part of the obstacle course, Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.
Which mapping statement correctly describes how she gets from the starting point (0,0) to Checkpoint A?
(x,y)↦(x,y+5)
(x,y)↦(x+5,y)
(x,y)↦(x−5,y+5)
(x,y)↦(x+5,y+5)
Answer:
If the four number sentences at the bottom are the choices for your answer the correct one would be choice A or 1.
I hope this is what you meant if not I'll try to take my answer down and try to answer it again correctly!
The direction of the north is taken as positive on the x-axis that is (x + 5, y). Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
For the first part of the obstacle course.
Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of her starting point.
Then the coordinate point will be
Let the direction of the north is taken as positive on the x-axis. Then we have
(x, y) → (x + 5, y)
Thus, the correct option is B.
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PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW
which form most quickly reveals the vertex?
And what is the vertex??
Answer: Choice C
Vertex = (5, -2)
===============================================
Explanation:
Vertex form is [tex]y = a(x-h)^2 + k[/tex] where the vertex itself is located at (h,k)
As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.
In the case of choice C, we have [tex]y= \frac{1}{2}(x-5)^2 - 2[/tex] which is the same as [tex]y = \frac{1}{2}(x-5)^2 + (-2)[/tex] and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)
Find the slope of the line
Answer:
m = 1.5
Step-by-step explanation:
Find two points
(-2,-1) and (0,2)
now use slope formula
[tex]\frac{y_{1} -y_{2} }{x_{1}-x_{2}}[/tex]
2-(-1)/0-(-2)
3/2 = 1.5
slope is 1.5