Answer:
64/9
Step-by-step explanation:
(8/3) ^2
( 8/3) * (8/3)
64/9
64/9 is the answer <3<3 Hope this helps
Add 1 4/12 +9/12 Convert to a mixed fraction,
Answer:
2 ¹/12
Step-by-step explanation:
convert 1 4/12 to an improper fraction
(1×12+4)=16/12
16/12+9/12=25/12
convert 25/12 to a mixed fraction
=2 ¹/12
PLEASE HELP -The horizontal cross-sectional shapes of the given prism are all congruent.
Answer:
false!
Step-by-step explanation:
i just answered true and it was false. so false is correct!
The statement that the horizontal cross-sectional shapes of the given prism are all congruent is false.
What are prisms?Prisms are three-dimensional shapes that have its two ends to be parallel and congruent
The given prism is a trapezoidal prism.
For the horizontal sectional shapes given prism to be congruent, the prism must be cut through the middle
Since the prism can be divided at any point, then the given statement is false
Read more about prisms at:
https://brainly.com/question/1972490
#SPJ2
What is the area of the button? Use 3.14 for π and round to the nearest tenth. The circumference of a button is 40.8 millimeters. What is the radius of the button? Use 3.14 for π and round to the nearest tenth. i need this answered quick
Answer: radius = 6.5millimeters; Area = 132.7m²
Step-by-step explanation:
The circumference of a circle = 2πr
The area of a circle = πr²
The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:
Circumference = 2πr
40.8 = 2 × 3.14 × r
40.8 = 6.28r
r = 40.8/6.28
r = 6.5
Radius is 6.5 millimeters
Area = πr²
Area = 3.14 × 6.5 × 6.5
Area = 132.7m²
which real life object is an example of a parabolic arc? a. objects being thrown straight into the air b. floating clouds c. the way light is focused in a flashlight d. the way a processor works in a computer e. the angle of the roof on a house f. how light is bent in eye glasses g. the heat of pavement in the summer
Answer:
A, E, F, G
Step-by-step explanation:
The picture below represents a parabolic arc.
An example can be an object being thrown up in the air then then coming back down.
Todd bought a jet ski through a interwar free payment plan. The ski was $2000 and his payments were $250 each. What percent of the total cost are the payments?
Answer:
12.5%
Step-by-step explanation:
The price for the ski = $2000
The payments made each = $250
percentage of the total cost that the payment is = ?
The percentage will be calculated as
the ratio of the payments made to the price of ski times 100%
250/2000 x 100%
==> 0.125 x 100% = 12.5%
Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A(0,7) and B(−4,2).
Answer:
(-3, 3.25)
Step-by-step explanation:
A a supermarket sells the three bands of rice shown.
Answer:
the ansewr is b
Step-by-step explanation:
How many times larger is 5 × 106 than 5 × 102?
PLEASE HELP !
Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.
Indeed, If you multiply 2 by 42 you'll get 4.
Of course, if a number is n× larger than another, then this other is n× smaller than the first one.
It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.
plz mark me as the Brainleist plz
sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test
Answer: (upside down fancy u) q5
Step-by-step explanation:
Simply apply the law of conservative (upside down fancy u)
What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104) 3. Multiply the coefficients: (18.166)(10–7 ∙ 104) 4. Apply the product of powers: 18.166 × 10-3 5. Write in scientific notation: 1.8166 × 10n What is the value of n in the scientific notation of the product?
Answer:
The value of the exponent of the base 10 for this product is -2.
Step-by-step explanation:
[tex]5.86\,\,10^{-7}\,\,*\,\,3.1\,\,10^4=18.166\,\,10^{-7+4}=18.166\,\,10^{-3}[/tex]
Now, in order to represent this number in scientific notation, we need to reduce the coefficient 18.166 to a coefficient larger or equal to 1 and smaller strictly than 10, by using division or multiplications by powers of 10. In order to reduce it to 1.8166, we need to divide the original 18.166 by ten so we do the following in order not to change the given number (multiply and divide by ten at the same time):
[tex]\frac{18.166\,\,10}{10} \,10^{-3}=1.8166\,*\,10\,*\,10^{-3}=1.8166\,\,10^{-2}[/tex]
Answer:
-2
Step-by-step explanation:
1. Write the expression: (5.86 × 10–7)(3.1 × 104)
2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104)
3. Multiply the coefficients: (18.166)(10–7 ∙ 104)
4. Apply the product of powers: 18.166 × 10-3
5. Write in scientific notation: 1.8166 × 10n
do all this get negitive two
Which set of points represents a function?
OA) (-5,9). (-5, 8), (4,7), (4, 6)
OB) (-3, -2), (-2, -1), (-1, 2), (-3, 4)
OC) (2,7). (-1, -7), (2, -7), (-1,7)
OD) (6, -1). (-3,4), (-6,4), (3, -1)
Answer: B
Step-by-step explanation:
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answer:
[tex]\large \boxed{\sf \ \ 70\% \ \ }[/tex]
Step-by-step explanation:
Hello,
We assume that the year is 52 weeks, and we note r the interest rate we are looking for. The rate is expressed in percent and is annually, meaning that the investment is, after the first week :
[tex]1000\cdot (1+\dfrac{r\%}{52})=1000\cdot (1+\dfrac{r}{5200})[/tex]
For the second week
[tex]1000\cdot (1+\dfrac{r}{5200})^2[/tex]
After 52 weeks
[tex]1000\cdot (1+\dfrac{r}{5200})^{52}[/tex]
and we want to be equal to 2000 so we need to solve:
[tex]1000\cdot (1+\dfrac{r}{5200})^{52}=2000\\\\\text{*** divide by 1000 both sides ***}\\\\(1+\dfrac{r}{5200})^{52}=\dfrac{2000}{1000}=2\\\\\text{*** take the ln **}\\\\52\cdot ln(1+\dfrac{r}{5200})=ln(2)\\\\\text{*** divide by 52 ***}\\\\ln(1+\dfrac{r}{5200})=\dfrac{ln(2)}{52}\\\\\text{*** take the exp ***}\\\\\displaystyle 1+\dfrac{r}{5200}=exp(\dfrac{ln(2)}{52})=2^{(\dfrac{1}{52})}=\sqrt[52]{2}\\\\r = 5200\cdot (\sqrt[52]{2}-1)=69.77875...[/tex]
Rounded to the nearest percent, the solution is 70%.
If you want to double your capital in one year with weekly compounding you need an interest rate of 70% !!
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
4%
Step-by-step explanation:
5/8 of the staff are male. 5/12 of the staff works part time at the aquarium.What fraction of the staff is female?
Answer:
3/8
Step-by-step explanation:
If 5/8 of the staff is male, then 8/8 is the total number of staff.
8/8 - 5/8 = 3/8
3/8 of the staff is female.
Hope this has helped. If the question has more to it, then please specify.
Please help i will mark brainliest
Answer:
See below.
Step-by-step explanation:
To find the equation, we need to find the slope and the y-intercept. Afterwards, we can put the numbers into the slope-intercept form:
[tex]y=mx+b[/tex]
From the graph, we can see that the line crosses the y-intercept at y=-6. Thus, the y-intercept (b) is -6.
Now we need to find the slope. Pick any two points where the line crosses. I'm going to pick (0,-6) and (4,-7).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-(-6)}{4-0}= -1/4[/tex]
Therefore, the equation of the line would be:
[tex]y=mx+b\\y=-1/4x-6[/tex]
what is the ratio of the volumes of two similar spheres, given that the ratio of their radii is 5:9?
PLEASE NEED ANSWERS
Answer:
125 : 729
Step-by-step explanation:
Given the ratio of the radii of 2 similar spheres = a : b , then
ratio of volumes = a³ : b³
Here the ratio of radii = 5 : 9 , thus
ratio of volumes = 5³ : 9³ = 125 : 729
Poles are placed 60 m apart along a road 8.4 km how many poles were needed?
Answer:
140 poles
Step-by-step explanation:
1. Convert to the same unit. Either meters to kilometers or kilometers to meters, so you can complete the computation.
60 m = 0.06 km (divide by 1,000) - see image #12. Divide 0.06 by 8.4 (8.4/0.06 = 140).
3. 140 poles can be placed on the 8.4 km road when separated by 60 m or 0.06 km.
The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies
Answer:
0.260.911.43Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P( [tex]\frac{x-\mu }{\sigma}[/tex] > [tex]\frac{2.3-\mu }{\sigma}[/tex] )
P (z > [tex]\frac{2.3-1.9 }{0.3}[/tex] )
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P( [tex]\frac{x-\mu }{\sigma }[/tex] < [tex]\frac{a-\mu }{\sigma }[/tex] )
[tex]\frac{a-1.9 }{0.3 } = -1.55[/tex]
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit?
Answer:
He deposited 16 $5 bills.
Step-by-step explanation:
State your variables
let x be the number of $1 bills
let y be the number of $5 bills
Create a system of equations
x + 5y = 200 (eq'n 1 -- for amount of money)
x + y = 136 (eq'n 2 -- for number of bills)
Solve the system for y
I will solve using substitution. Rearrange eq'n 2 to isolate variable x.
x + y = 136
x = 136 - y (eq'n 3)
Substitute eq'n 3 into eq'n 1.
x + 5y = 200
136 - y + 5y = 200
136 + 4y = 200
4y = 64
y = 16
Solve for x to check answer
Substitute y = 16 into eq'n 2.
x + y = 136
x + 16 = 136
x = 120
Substitute x = 120 into eq'n 1.
x + 5y = 200
120 + 5(16) = 200
120 + 80 = 200
200 = 200
LS = RS Both sides are equal, so the solution is correct.
Therefore, Jack deposited 16 five dollar bills.
Is my answer correct? 10 points + brainleist!
Answer:
your answer is incorrect. The correct answer is [tex]h=-13[/tex] and [tex]k=13[/tex] .
Step-by-step explanation:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex] and a>0, then minimum value of the function at point [tex]\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex].
The given function is
[tex]f(x)=x^2+bx+182[/tex]
Here, a=1, b=b and c=182. So.
[tex]-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}[/tex]
Put [tex]x=-\dfrac{b}{2}[/tex] in the given function to find the minimum value of the function.
[tex]f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182[/tex]
We know that minimum value is 13. So,
[tex]13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182[/tex]
[tex]13-182=-\dfrac{b^2}{4}[/tex]
[tex]-169=-\dfrac{b^2}{4}[/tex]
[tex]169\times 4=b^2[/tex]
Taking square root on both sides.
[tex]13\times 2=b[/tex]
[tex]b=26[/tex]
The value of b is 26.
So, the given function is
[tex]f(x)=x^2+26x+182[/tex]
Now, add and subtract square of half of coefficient of x.
[tex]f(x)=x^2+26x+182+(13)^2-(13)^2[/tex]
[tex]f(x)=(x^2+2(13)x+(13)^2)+182-169[/tex]
[tex]f(x)=(x+13)^2+13[/tex]
On comparing with [tex]f(x)=(x-h)^2+k[/tex], we get
[tex]h=-13[/tex]
[tex]k=13[/tex]
Therefore, your answer is incorrect.
The figure above shows a right-angled triangle OAB. AOC is a minor sector enclosed in the triangle. If OA = 7 cm, AB = 6 cm, calculate the area and perimeter of the shaded region.
Answer:
La respuesta es 7+6 ó 6+7 que es 13
How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winners was drawn and the amount of money each won was recorded and listed below. Estimate with 96% confidence the mean winning's for all the show's players.
Step-by-step explanation:
Given:
x = 26214.47
s = 5969.25
n = 15
t = 2.046
The confidence interval is:
CI = x ± t (s / √n)
CI = 26214.47 ± 2.046 (5969.25 / √15)
CI = (23061.06, 29367.88)
if the pattern continued,what value of y would be associated with x=6? y=
Answer: the answer would be 24
Step-by-step explanation: just did the assignment
Answer:
24
Step-by-step explanation:
Just got it right on edge 2020
What is the volume of the cone?
What is the volume of the cylinder?
What is the volume of the sphere?
At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain.
Hint: Which shapes gives you more clay for less money?
Answer:
[tex]Volume = 1017.36\ in^3[/tex] -- Cone
[tex]Volume = 3052.08\ in^3[/tex] -- Cylinder
[tex]Volume = 3052.08\ in^3[/tex] -- Sphere
Best Buy: Sphere Clay
Step-by-step explanation:
Given
Solid Shapes: Cone, Cylinder, Sphere
Cost of Cone Clay = $12
Cost of Cylinder Clay = $30
Cost of Sphere Clay = $28
Required
Determine the volume of each shape
Which is the best buy
CONECalculating VolumeThe volume of a cone is calculated as thus;
[tex]Volume = \frac{1}{3}\pi r^2h[/tex]
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = \frac{1}{3} * 3.14 * 9^2 * 12[/tex]
[tex]Volume = \frac{3052.08}{3}[/tex]
[tex]Volume = 1017.36\ in^3[/tex]
Calculating Volume:Price RatioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 1017.36\ in^3[/tex]
[tex]Total\ Cost = \$12[/tex] (Given)
[tex]Volume:Price = \frac{1017.36\ in^3}{\$ 12}[/tex]
[tex]Volume:Price = 84.78 in^3/\$[/tex]
[tex]Volume:Price = 84.78 in^3:\$1[/tex]
CYLINDERCalculating VolumeThe volume of a cylinder is calculated as thus;
[tex]Volume = \pi r^2h[/tex]
From the attached diagram
Radius, r = 9 inches; Height, h = 12 inches and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = 3.14 * 9^2 * 12[/tex]
[tex]Volume = 3052.08\ in^3[/tex]
Calculating Volume:Price RatioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 3052.08\ in^3[/tex]
[tex]Total\ Cost = \$30[/tex] (Given)
[tex]Volume:Price = \frac{3052.08\ in^3}{\$ 30}[/tex]
[tex]Volume:Price = 101.736\ in^3/\$[/tex]
[tex]Volume:Price = 101.736\ in^3:\$1[/tex]
SPHERECalculating VolumeThe volume of a sphereis calculated as thus;
[tex]Volume = \frac{4}{3}\pi r^3[/tex]
From the attached diagram
Radius, r = 9 inches; and [tex]\pi = 3.14[/tex]
Substitute these values in the above formula;
[tex]Volume = \frac{4}{3} * 3.14 * 9^3[/tex]
[tex]Volume = \frac{9156.24}{3}[/tex]
[tex]Volume = 3052.08\ in^3[/tex]
Calculating Volume-Price ratioThe unit cost of the cone is calculated as thus;
[tex]Volume:Price = \frac{Volume}{Total\ Cost}[/tex]
Where
[tex]Volume = 3052.08\ in^3[/tex]
[tex]Total\ Cost = \$28[/tex] (Given)
[tex]Volume:Price = \frac{3052.08\ in^3}{\$ 28}[/tex]
[tex]Volume:Price = 109.003\ in^3/\$[/tex]
[tex]Volume:Price = 109.003\ in^3:\$1[/tex]
Comparing the Volume:Price ratio of the three clay;
The best buy is the sphere because it has the highest volume:price ratio.
Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay
The gradient of a straight line that passes
through the point (-3,2) and (-4,k) is - 2
Find the value of k.
Answer:
k=4
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
-2 = (k-2)/(-4 - -3)
-2 = (k-2)/(-4+3)
-2 = (k-2)/ ( -1)
Multiply by -1
-2 * -1 = (k-2)/ ( -1) * -1
2 = k-2
Add 2 to each side
2+2 = k-2+2
4 =k
turn 7/8 into a percent
Answer:
[tex]\boxed{87.5\%}[/tex]
Step-by-step explanation:
Convert fraction to a decimal.
[tex]\frac{7}{8} =0.875[/tex]
Multiply the decimal by 100.
[tex]0.875 \times 100= 87.5[/tex]
Answer:
87.5%
Step-by-step explanation:
100 divided by 8 = 12.5
We know that one eighth of 100 is 12.5. Now we multiply an eighth by 7 to get seven-eighths (7/8)
12.5 * 7 = 87.5
So 7/8 as a percent is 87.5%
Have a good day :)
A 14 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How for up the building does the ladder reach?
Answer:
[tex]7\sqrt{2}[/tex]
Step-by-step explanation:
Use trigonometry.
sin 45 degrees = x/14
plug in values and you get x = [tex]7\sqrt{2}[/tex]
Answer:
72
Step-by-step explanation:
convert 1000110binary into decimal number system
Answer:
70₁₀Step-by-step explanation:
In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.
Let's solve:
[tex]1000110[/tex]
[tex] = 1 \times {2}^{6} + 0 \times {2}^{5} + 0 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]
[tex] = 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 \times 0 \times 1[/tex]
[tex] = 64 + 0 + 0 + 0 + 4 + 2 + 0[/tex]
[tex] = 70[/tex]₁₀
Hope I helped!
Best regards!!
find x value A. 8.96 B. 10.83 C. 5.10 D. 6.09
Answer:
6.09
Step-by-step explanation:
in ADB
[tex]a ^{2} + b^{2} = c ^{2} [/tex]
to get hypotenuse=8.96
this is height of ABC so use tan
[tex] tan(55.8)= 8.96 \x[/tex]
x=6.09
Answer:
D
Step-by-step explanation:
To find x, we first to to find the line between A&B.
Use the pythagoram theorem to do this A^2+B^2=C^2
4.9^2+7.5^2=C^2
80.26=C^2
square root each side
Side AtoB=8.958
We now know the side length of the opposite and adjacent for the angle C. So according to SohCahToa we need to use Tangent.
So Tan(55.8)=(8.958/x)
We you solve for x, the answer is 6.088
Rectangle EFGH is the image of rectangle ABCD after a sequence of transformations. Which statement describes the transformation that occurred?
A. Rectangle ABCD was rotated 90 counterclockwise about the origin followed by dilation with center (0, 0) and a scale factor of 3/4.
B. Rectangle ABCD was translated right 3 units and down 11 units followed by a dilation with center (0, 0) and a scale factor of 1/2.
C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.
Answer:
C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.
Step-by-step explanation:
See figure for intermediate steps.
The transformed rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the rectangle be represented as ABCD
Now , the coordinates of the rectangle are
A ( 1 , 9 ) , B ( 1 , 6 ) , C ( 7 , 6 ) and D ( 7 , 9 )
Now , the rectangle is dilated with scale factor of 1/2 , we get
A ( 0.5 , 4.5 ) , B ( 0.5 , 3 ) , C ( 3.5 , 3 ) and D ( 3.5 , 4.5 )
And , the rectangle is translated right 3.5 units and down 8 units.
So , the new coordinates of the rectangle is
E ( 4 , -3.5 ) , F ( 4 , -5 ) , G ( 7 , -5 ) and H ( 7 , -3.5 )
Hence , the transformed rectangle is E ( 4 , -3.5 ) , F ( 4 , -5 ) , G ( 7 , -5 ) and H ( 7 , -3.5 )
To learn more about transformation of functions click :
https://brainly.com/question/26896273
#SPJ3
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
4x-2
Step-by-step explanation:
4x(3x+5)-2(3x+5)
(4x-2)(3x+5)
you can see that 4x-2 is a factor