Answer:
(5,20)
Step-by-step explanation:
x+y=25
If you substitute y=4x,
x+4x=25
Now add like terms
5x=25
Divide 5
x=5
Put it back into the equation
5+y=25
Subtract 5
y=20
Answer: (5,20)
Determine the equation of the circle graphed below.
Answer:
[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]
Step-by-step explanation:
Required
The equation of the circle
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where:
[tex]Center = (h,k)[/tex]
[tex]radius \to r[/tex]
From the graph, we have
[tex](h,k) = (6,2)[/tex]
[tex]r = 2[/tex]
So:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex] becomes
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex]
[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]
bcore: 9/ 120 5/17 answered Question 7 You deposit $4000 in an account earning 7% interest compounded monthly. How much will you have in th account in 10 years? Submit Question
Answer:
8038.65
Step-by-step explanation:
[tex]4000(1+\frac{.07}{12})^{12*10}=8038.65[/tex]
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
perpendicular, negative reciprocal
Step-by-step explanation:
a negative and a positive slope. 1/5 is the opposite of 5
PLS HELP WILL GIVE BRAINLIAST !!!
Answer:
32.5 feet long and 20 feet wide
Step-by-step explanation:
To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.
Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.
given the points (-4,8)and(6,-12)
1 Determine the midpoint of the line segment connecting the points.
2 Determine the distance separating the two points
Answer:
1.
[tex]midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)[/tex]
2.
[tex]distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units[/tex]
I don’t understand if anyone can explain?
Answer:
Part A: 320 ft²
Part B: 2,304 ft²
Step-by-step explanation:
Part A:
Area of one triangular face of the square pyramid = ½*base*height
base = 32 ft
height = 20 ft
Area = ½*32*20
Area = 320 ft²
Part B:
Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces
= s² + 4(area of 1 triangular face)
s = 32 ft
area of 1 triangular face = 320 ft²
Total surface area = 32² + 4(320) = 1,024 + 1,280
= 2,304 ft²
An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the volume of the ice cube decreasing when the lengths of the sides of the cube are equal to 18 millimeters? Give your answer correct to the nearest cubic millimeter per minute. Rate of decrease: millimeters3 per minute.
Answer:
The rate of decrease is: [tex]43.2mm^3/min[/tex]
Step-by-step explanation:
Given
[tex]l = 18mm[/tex]
[tex]\frac{dl}{dt} = -0.8mm/min[/tex] ---- We used minus because the rate is decreasing
Required
Rate of decrease when: [tex]l = 18mm[/tex]
The volume of the cube is:
[tex]V = l^3[/tex]
Differentiate
[tex]\frac{dV}{dl} = 3l^2[/tex]
Make dV the subject
[tex]dV = 3l^2 \cdot dl[/tex]
Divide both sides by dt
[tex]\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}[/tex]
Given that: [tex]l = 18mm[/tex] and [tex]\frac{dl}{dt} = -0.8mm/min[/tex]
[tex]\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)[/tex]
[tex]\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min[/tex]
[tex]\frac{dV}{dt} = -43.2mm^3/min[/tex]
Hence, the rate of decrease is: 43.2mm^3/min
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the trapezoid?
?
O 28 cm
O 36 cm
O 45 cm
O 90 cm?
Answer:
28 square centimeters
Step-by-step explanation:
The area of a trapezoid (formula):
(a + b) ÷ 2 x h
Where a & b are the bases, and h is height.
Use formula with given measurements:
(9 + 5) ÷ 2 x 4 = 28
Area is measured in square centimeters
(centimeters in this case)
Therefore the area if the trapezoid is 28 cm^2
I really hope this helps!
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error. ($30.65)(0.60) = $18.39
*Please give an explanation longer than 1 sentence :,)
Answer:
Kelvin’s error is that when he got the final result, that was the amount that was marked down. He still needed to find the price after the original price was marked down by that number wich in this case is $18.39. So using one of his steps, 30.65(0.6)=18.39. We can subtract 30.65 (original price) and 18.39 (mark down price). You’d get 11.26 dollars as the final price.
Please help me, and can you do it by a table math
Answer:
Yeah
Step-by-step explanation:
Answer for fee rbux and branlest!!!! i need answer NOW or i will be DIE (not good!!!)
Answer:
its B homie
Step-by-step explanation:
U stuped
What number must you add to complete the square? x^2+26x=23
Answer:
169
Step-by-step explanation:
x²+26x=23
=> to complete the square, the equation should be : x²+26x + (26/2)² = 23 + (26/2)²
<=> x² +26x + 13² = 23 + 13²
<=> x² +26x +169 = 23 + 169
<=> (x+13)² = 192
so, (x+13)² is the square form , and 169 must be added to complete the square
For 2ab to complete in (a+b)² formula
2ab=26a=1
2b=26b=13b²=169So 169 must be added
For this line 3x−4y−12=0, which statement is true? 1- The x-intercept is 4, and the y-intercept is 3. 2-The x-intercept is 4, and the y-intercept is -3 3-The x-intercept is 3, and the y-intercept is -4. 4-The x-intercept is 3, and the y-intercept is 4.
9514 1404 393
Answer:
2. The x-intercept is 4, and the y-intercept is -3
Step-by-step explanation:
The given equation is in general form. I find it easier to see the intercepts when the equation is written in standard form:
3x -4y = 12
Setting y=0 and solving for x, we have the x-intercept:
3x = 12 ⇒ x = 12/3 = 4
Setting x=0 and solving for y, we have the y-intercept:
-4y = 12 ⇒ y = 12/-4 = -3
The x-intercept is 4; the y-intercept is -3.
If a distribution for a quantitative variable is thought to be nearly symmetric with very little variation,and a box and whisker plot is created for this distribution,which of the following is true?
A) The box will be quite wide but the whisker will be very short.
B) The left and right-hand edges of the box will be approximately equal distance from the median.
C) The whiskers should be about half as long as the box is wide.
D) The upper whisker will be much longer than the lower whisker.
Answer:
B). The left and right-hand edges of the box will be approximately equal distances from the median.
Step-by-step explanation:
The 'symmetry' si described as a 'satisfying arrangement of a balanced distribution of the elements of the whole' while a 'symmetry group' is characterized as a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
As per the given conditions, the second statement asserts a true claim regarding the keeping of edges of left, as well as, right-hand side's boxes at equal intervals from the median. This will help in making the arrangement fulfilling while keeping a little scope for the variation. Thus, option B is the correct answer.
Plot the points (-6,8)(−6,8)left parenthesis, minus, 6, comma, 8, right parenthesis and (0,8)(0,8)left parenthesis, 0, comma, 8, right parenthesis on the coordinate plane below.
Answer:
hello I cant help you right now try again later
City A is due north of City B. Find the distance between City A ( north latitude) and City B ( north latitude). Assume that the radius of Earth is 3960 miles.
The distance between City A and City B is ___miles.
Can someone help?! Show me step by step how this is done that I can understand it better.
=========================================================
Explanation:
The notation [tex]47^{\circ}4'[/tex] means "47 degrees, 4 minutes". The "minutes" isn't referring to a time value, but instead they are arc minutes. If we divide one degree into 60 equal pieces, then we form 60 arc minute slices. So in a sense, we are using a round analogue clock to help connect the two ideas.
We can convert to purely degrees through using this formula here
[tex]a^{\circ}b' = a + \frac{b}{60}[/tex]
So,
[tex]47^{\circ}4' = 47 + \frac{4}{60} \approx 47.06667^{\circ}[/tex]
and similarly,
[tex]22^{\circ}46' = 22+ \frac{46}{60} \approx 22.76667^{\circ}[/tex]
Now subtract the two results we got
47.06667-22.76667 = 24.3
The angular distance between the two cities is 24.3 degrees. By "angular distance" I basically mean how far you need to rotate your viewing angle when looking from city A to city B. Imagine that you're able to be situated at the center of the earth.
The circumference of the earth is
C = 2*pi*r
C = 2*pi*3960
C = 24,881.4138164311
which is approximate and the units are in miles. We multiply by the fraction 24.3/360 to find the arc distance along the curve that corresponds to the angle 24.3 degrees. This is because we don't want the whole circumference, but just a small fraction of it.
So (24.3/360)*24,881.4138164311 = 1,679.4954326091
This rounds to 1679
The distance between the two cities is about 1679 miles.
9514 1404 393
Answer:
1679 miles
Step-by-step explanation:
One minute is 1/60 of a degree, so the difference in latitudes is ...
47 4/60 -22 46/60 = 24 18/60 = 24.3 . . . degrees
The arc length is given by ...
s = rθ . . . . . . r = radius, θ = angle in radians
180° is π radians, so the surface distance between the two cities is ...
s = (3960 mi)(24.3×π/180) = 534.6π mi ≈ 1679.495 mi
The distance between City A and City B is about 1679 miles.
_____
Additional comment
As a good approximation, the distance is about 60 nautical miles per degree of latitude. Using that approximation, and converting from nautical miles to statute miles would give a distance of 1678 miles.
A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $15 each, and tickets for tier seats cost $70 each. The total cost of the tickets was $345. How many tickets for tier seats did they purchase
Answer:
3 tier seats tickets
Step-by-step explanation:
Let the friends that bought floor seats be x and let the friends that bought tier seats be y.
Thus;
x + y = 12 - - - (eq 1)
Floor seats tickets cost $15 each, and tier seats tickets cost $70 each. The total cost of the tickets was $345. Thus;
15x + 70y = 345 - - - (eq 2)
Let's make x the subject in eq (1)
x = 12 - y
Putting this for x in eq 2 gives;
15(12 - y) + 70y = 345
180 - 15y + 70y = 345
55y = 345 - 180
55y = 165
y = 165/55
y = 3
Put 3 for y in x = 12 - y to get;
x = 12 - 3
x = 9
Thus, they purchased 9 floor seats tickets and 3 tier seats tickets
A factory robot found flaws in 6 out of 36 bulbs . Considering this data, how many flawed bulbs would the robot be expected to find in a batch of 84 bulbs?
Answer:
14
Step-by-step explanation:
that is the procedure above
what is 2.8436 rounded to the nearest thousandth?
Answer:
2.844
Step-by-step explanation:
2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!
Answer:
2.84
Step-by-step explanation:
2.8436 is rounded to the nearest thousands we get 2.84
hi I need help on this
Answer:
144 cm³ or 144 cubic centimeters
Step-by-step explanation:
Volume = Area triangle * height
Area triangle = 1/2 ( 3 x 8) = 1/2( 24) = 12
12 x 12 = 144 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The values for three sets of data are shown below.
Data
Data Set
Values
1
42, 48, 50, 88, 49
2
63, 29, 35, 28, 30
3
2, 5, 3, 8
Without calculating any statistics, Anna knows that data set 3 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?
Sets 1 and 2 contain outliers.
Set 3 has the least mean.
Set 3 contains an outlier.
Sets 1 and 2 have an odd number of values.
Answer:
data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.
Step-by-step explanation:
The mean absolute deviation is a measure of spread of the data.
If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.
if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.
We are given three data set as:
set- 1 42, 48, 50, 88, 49
set- 2 63, 29, 35, 28, 30
set- 3 2, 5, 3, 8
Hence, we could observe that the data values in set 1 and set 2 are widely spread.
In set-1 the data value 88 is much higher value as compared to other data values.
Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.
Whereas in set-3 the data values are all closely related and there is not much spread in the data.
Answer:
it seems like you already have this answered?
Answer:
data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.
Step-by-step explanation:
The mean absolute deviation is a measure of spread of the data.
If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.
if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.
We are given three data set as:
set- 1 42, 48, 50, 88, 49
set- 2 63, 29, 35, 28, 30
set- 3 2, 5, 3, 8
Hence, we could observe that the data values in set 1 and set 2 are widely spread.
In set-1 the data value 88 is much higher value as compared to other data values.
Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.
Whereas in set-3 the data values are all closely related and there is not much spread in the data.
Factorise x2 - 2x - 3
The factorization of x² - 2x - 3 is (x+1)(x-3).
The given quadratic equation is,
x² - 2x - 3
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Hence to factorize we can write the given quadratic equation as,
⇒ x² - 3x + x - 3
⇒ x(x-3) + (x - 3)
⇒ (x+1)(x-3)
Hence,
x² - 2x - 3 = (x+1)(x-3)
To learn more about quadratic equation visit:
https://brainly.com/question/30098550
#SPJ6
Bilal's fishing line was on a spool with a radius of 4 cm. Suddenly, a fish pulled on the line, and the spool spun
16 times before Bilal began to reel in the fish.
What is the distance the fish pulled the fishing line?
Round your answer to the nearest cm.
Answer:
402 cm
Step-by-step explanation:
Given :
Radius = 4 cm
The Circumference of a circle :
C = 2πr
C = 2 * π * 4 = 8π
Spool is spun 16 times :
Circumference * 16
8π * 16
8 * 3.14 * 16
= 401.92
= 402 cm
Answer:
402 cm
Step-by-step explanation:
Please I need help and thx
please show how you did it
Answer:
1.) 9.2
2.)
625
633
the dealer
8.81
Step-by-step explanation:
I'm gonna assume that cm= compounded monthly
1.)
effective rate: .153/12= .01275
x= payments
[tex]2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207[/tex]
2.)
If there is no interest rate attached to financing through the deal the payment is just
37500/60 = 625
The monthly payment from the bank has a present value of 37500-3000=34500
and the effective rate is .039/12= .00325
[tex]34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81[/tex]
Finally, the amount we save is just the difference
633.81-625=8.81
Answer:
1.) 9.2
2.)
625
633
the dealer
8.81
Step-by-step explanation:
I'm gonna assume that cm= compounded monthly
1.)
effective rate: .153/12= .01275
x= payments
\begin{gathered}2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207\end{gathered}
2590.67=300∗
.01275
1−(1+.01275)
−x
.110103476=1−1.01275
−x
.889896525=1.01275
−x
log
1.01275
.889896525=−x
x=9.207
2.)
If there is no interest rate attached to financing through the deal the payment is just
37500/60 = 625
The monthly payment from the bank has a present value of 37500-3000=34500
and the effective rate is .039/12= .00325
\begin{gathered}34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81\end{gathered}
34500=x
.00325
1−(1.00325)
−60
34500=54.43234738x
x=633.81
Finally, the amount we save is just the difference
633.81-625=8.81
HELP!!!
A spherical baseball has a diameter of 5 inches and weighs 7 grams per cubic inch. What is the closest weight of the baseball rounded to the nearest gram?
Answer:
69
Step-by-step explanation:
xvusvsuvtuvqYSQY
If the first hill is 20 cm high, the second hill is 0 cm high, and the last hill is 0 cm high, how long does it take the 50 g car to reach the egg?
Solve 4(m-3)=24
Gggg
solution//
= 4(m-3) = 24
= 4m-12 = 24
= 4-12+12 = 24+12
= 4m = 36
= 4m = 36
4 4
= m = 9
Step-by-step explanation:
Thank you
[tex]\sf\purple{The\:value\:of\:m\:is\:9.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 \: (m - 3) = 24 \\ ⇝4 \: m - 12 = 24 \\ ⇝4 \: m = 24 + 12 \\ ⇝4 \: m = 36 \\ ⇝m = \frac{36}{4} \\ ⇝m = 9[/tex]
To verify:-
[tex]4(m - 3) = 24 \\ ⇝4(9 - 3) = 24 \\ ⇝4 \times 6 = 24 \\ ⇝24 = 24 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
A)Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the the sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?
B) the kids kept adding sand, ten minutes later the volume of the sand cone had increased by 30%. what is the exact volume of the sand cone now?
Answer:
A.) 84π | B.) 546π/5
Step-by-step explanation:
A.)
V(Cone) = πr²(h/3) where r = radius and h = height.
r = d/2 where d = diameter.
r = 12/2 = 6
V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π
B.)
84π · 0.3 = 126π/5
84π + 126π/5 = 546π/5
Find the 40th term of the arithmetic sequence with a = 150 and a common difference of d =-4.
1.-6
2.6
3.-2
4.2
Answer:
1. -6
Step-by-step explanation:
a1 = 150
a2 = a1 - 4 = 150 - 4 = 146
a3 = a2 - 4 = a1 - 4 - 4 = 146 - 4 = 150 - 4 - 4 = 142
...
=>
an = a1 - (n-1)×4
=>
a40 = a1 - 39×4 = 150 - 156 = -6
Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1
Answer:
Step-by-step explanation:
From the given information:
The Directrix x = - 1
The eccentricity e = 1
Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.
Hence, the conic equation in terms of r is:
[tex]\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}[/tex]
From the directrix to the pole, the distance p = 1
So;
[tex]\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}[/tex]
[tex]\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}[/tex]
