Answer:
[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]
Answer:
The equation of a perpendicular line to
y =( -1/3 )x+b (b is a normal number)
Step-by-step explanation:
1.Use the slope-intercept form to find the slope.
Tap for more steps...
m = 3
2. the perpendicular line to y=3x+3
must have a slope that is the negative reciprocal of the original slope.
thus,
m perpendicular = −1/3
Evaluate the expression. ab if a = 6 and b = 7
PLEASE HELP I DONT WANT TO FAIL SUMMER SCHOOL
Answer:
[tex] {a}^{b} [/tex]
[tex] {6}^{7} [/tex]
[tex]6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6[/tex]
[tex]279936[/tex]
hope this will help you more
BRAINLIEST FOR CORRECT ANSWER
Answer:
y=-2x+6
Step-by-step explanation:
For this question, you need the slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. We should first find the slope of the equation. The slope is the rise-over-run; this means that the slope is equal to the difference in y over x. One way to find the slope is to count the difference between the two coordinates or you can use the formula. Either way, the y decreases by 2, and the x increases by 1. Therefore, the slope is -2.
Then, find the intercept. One way to do this by plugging in one of the coordinates into the equation we have so far, y=-2x+b. So, plug 4 in for y and 1 in for x; 4=-2(1)+b. Next, solve for b. This equals b=6.
Finally, plug in the slope and intercept for the final answer, y=-2+6.
evaluate 523 base7 - 65base7
If these are number systems then it will turn out like this [tex]\displaystyle\bf 523_7-65_7=\boxed{425_7}[/tex]
A man and his wife share a lottery prize of $1 500 000 in the ratio of 41:34. What is the difference between the man's share and his wife's share
Answer:
$140,000
Step-by-step explanation:
Value of lottery = $1,500,000
Man's ratio = 41
Wife's ratio = 34
Total ratio = 41 + 34 = 75
Man's share = Man's ratio / Total ratio * Value of lottery
= 41/75 * $1,500,000
= 0.5466666666666 * $1,500,000
= $820,000
Wife's share = wife's ratio / total ratio * Value of lottery
= 34/75 * $1,500,000
= 0.4533333333333 * $1,500,000
= $680,000
Difference between the man's share and his wife's share
= Man's share - wife's share
= $820,000 - $680,000
= $140,000
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 10.7
Step-by-step explanation:
We have:
[tex]\frac{x}{sin 90}[/tex] = [tex]\frac{9.2}{sin59}[/tex]
=> x × sin59 = 9.2 × sin90
=> x × sin59 = 9.2
=> x = 9.2 ÷ sin59
=> x = 10.733027...
=> x = 10.7 (Round to the nearest tenth)
<3 Have a nice day!!
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the
height of the water in the pool?
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The height of the water increases 2 inches per
minute.
The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
The height of the water will be 2 inches when the
pool is filled.
Answer:
Step-by-step explanation:
Slope is the rate of change. For us, this rate of change is inches of water per minute. If this rate of change is 2/1, that means that the rate is changing 2 inches every minute (aka The height of the water increases 2 inches per minute, first choice in your list of possibilities).
(05.05 HC)The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this polygon? 27 units2 33 units2 36 units2 51 units2
Answer:
Area = 36 squ. unit
Step-by-step explanation:
According to the Question,
Given That, The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. (Please find diagram in attachment)by using these points a quadrilateral is formed with two opposite sides 7 and 5 and with height 6 (Refer in the diagram).
Therefore, the area of this polygon isArea = 1/2 * (sum of opposite side) * height
Area = 1/2 * (7+5) * 6
Area = 3*12
Area = 36 squ. unit
Answer:
36
Step-by-step explanation:
(d) 23.89 cg = ______________ Kg
Answer:
the answer is 0.0002 kilograms
Step-by-step explanation:
A triangle has sides with lengths of 60 yards, 80 yards, and 100 yards. Is it a right triangle?
yes, it's a scaled version of a triangle with side lengths 3, 4 and 5.
by a factor of 20
a triangle with side lengths 3, 4 and 5 is a right triangle and it holds true for a²+b²=c², because 9+16=25
the 3,4,5-triangle is the simplest right triangle to calculate it's numbers seem somehow elegant.
the triangle in your problem is just a bigger version of it (wich means all angles stay the same).
My reasoning is lacking, but I'm sure
whats the function for y=-4x+3
Answer:
the function for y=-4x+3
= soln,
y=mx+b"
What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?
Answer:
[tex]y=3x-17[/tex]
Step-by-step explanation:
Parallel equations always share a slope.
So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]
[tex]-5=3(4)+b[/tex]
simplify both sides
[tex]-5=12+b[/tex]
isolate the variable
[tex]-17=b[/tex]
plug [tex]b[/tex] back into the equation and you get
[tex]y=3x-17[/tex]
Answer:
y = 3 x + 11
Explanation:
Parallel lines have the same slopes.
The slope of the new line will have the same slope as the given line:
y = 3 x − 4
⇒ m = 3
One point on the line is given,
( − 2 5 ) .
This is ( x 1 y 1 )
The formula for slope is
m = ( change in y values/ change in x-values ) = y 2 − y 1/ x 2 − x 1
If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.
y − y 1 = m ( x − x 1 )
y − 5 = 3 ( x − ( − 2 ) )
y − 5 = 3 ( x + 2 )
Simplify to get the required equation of the line.
y = 3 x + 6 + 5
y = 3 x + 11
Step-by-step explanation:
HELP ME I HAVE ONLY TODAY LEF TFOR SCHOOL PLS!!!!!
Suppose yogurt is on sale for $0.85 a piece, and you have a coupon for $0.99 off your total purchase. Write a function rule for the cost oh N yogurts. How much would 15 yogurts cost?
A: C(n) = $0.99n - $0.85; $14.00
B: C(n) = $0.85n - $0.99; $11.76
C: C(n) = $0.85n; $12.75
D: C(n) = $0.99n; $14.85
Answer:
B
Step-by-step explanation:
n is how many you buy times the price of $0.85 and then you subtract a coupon for $0.99 for the entire purchase.
This pattern follows the rule add 14. What other features do you observe?
13, 27, 41, 55
All terms are even because even + even = even.
All terms are even because odd + odd = even.
All terms are odd because odd + even = odd.
All terms are even because when you add two numbers together, the sums are always even.
SOMEONE HELP ASAP PLEASE
Answer:
29%
Step-by-step explanation:
First, let's fill in the table.
Male:
Freshmen: 4
Sophomore: 6
Juniors: 2
Seniors: 2
Total: 4 + 6 + 2 + 2
Total: 14
Female:
Freshmen: 3
Sophomore: 4
Juniors: 6
Seniors: 3
Total: 3 + 4 + 6 + 3
Total: 16
Now, to find the probability that a male would be a freshmen, we would do:
4/14
Convert it to a decimal:
.285
Convert to percentage:
29%
So, there is a 29% chance that a male is a freshmen.
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
Area of a triangle=1/2×base x height
Let y represent the height
50cm²=1/2×20cm×y
50cm²=10cm×y
50cm²/10cm=10cm×y/10cm
5cm=y
therefore the height of the triangle is 5cm
Area of a trapezoid=1/2×a+b×height
let h represent the height
42cm²=(1/2×14cm+7cm)×h
42cm²=1/2×21cm×h
42cm²=21cm×h/2
42cm²×2=21cm×h(cross multiply)
84cm²=21cmh
84cm²/21cm=21cmh/21cm
4cm=h
Therefore the height is 4cm
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia’s altitude at the end of her climb?
Answer:
5418.54 ft
Step-by-step explanation:
So sea level is 0, okay? So Nadia (her name is more than 3 letters and I'm lazy so from now on she'll be reffered to as "N") is at -19. 26 ft. N goes up 5,437.8 ft, so we add this value on.
-19. 26+ 5437.8= 5418.54
Now just add on the units!
Hope this helps!
Answer:
Answer:
5418.54 ft
Step-by-step explanation:
Answer:
5418.54 ft
Step-by-step explanation:
So sea level is 0, okay? So Nadia (her name is more than 3 letters and I'm lazy so from now on she'll be reffered to as "N") is at -19. 26 ft. N goes up 5,437.8 ft, so we add this value on.
-19. 26+ 5437.8= 5418.54
A new hospital tracked the number of births during its first 6 months of operation, as shown in the table.
A 2-column table with 6 rows. The first column is labeled month with entries 1, 2, 3, 4, 5, 6. The second column is labeled number of births with entries 137, 110, 93, 70, 65, 77.
Find a quadratic function that models the data. Round numerical values to the nearest whole number
Answer:
y = 4x² - 43x + 178
Step-by-step explanation:
Given that data:
1 __ 137
2 __ 110
3 __ 93
4 __ 70
5 __ 65
6 __ 77
Usibg technology, the quadratic regression equation obtained is written in the form:
Ax² + Bx + C
A = 4.34 = 4 ( nearest whole number)
B = - 43.46 = - 43 (nearest whole number)
C = 178.3 = 178 ( nearest whole number)
Hence, the quadratic model is
y = 4x² - 43x + 178
By rounding the coefficients to the nearest whole number, the quadratic function that models the data is[tex]f(x) = 5x^2 - 42x + 174[/tex]
How to Find a quadratic function that models the data.To find a quadratic function that models the data, use a quadratic equation of the form:
[tex]f(x) = ax^2 + bx + c[/tex]
Let's use the given data points to form a system of equations and solve for the coefficients a, b, and c.
Using the first data point (month 1 with 137 births):
[tex]f(1) = a(1)^2 + b(1) + c = 137[/tex]
a + b + c = 137 (Equation 1)
Using the second data point (month 2 with 110 births):
[tex]f(2) = a(2)^2 + b(2) + c = 110[/tex]
4a + 2b + c = 110 (Equation 2)
Using the third data point (month 3 with 93 births):
[tex]f(3) = a(3)^2 + b(3) + c = 93[/tex]
This simplifies to:
9a + 3b + c = 93 (Equation 3)
Solve this system of equations will give us the values of a, b, and c.
Subtract Equation 1 from Equation 2
3a + b = -27 (Equation 4)
Subtract Equation 1 from Equation 3
8a + 2b = -44 (Equation 5)
Now solve Equations 4 and 5 simultaneously.
Multiply Equation 4 by 2 and subtracting it from Equation 5:
8a + 2b - (6a + 2b) = -44 - (-54)
2a = 10
Divide both sides by 2:
a = 5
Now substitute the value of a back into Equation 4:
3(5) + b = -27
15 + b = -27
Subtract 15 from both sides:
b = -42
Finally, substitute the values of a and b into Equation 1
5 + (-42) + c = 137
-37 + c = 137
Add 37 to both sides:
c = 174
Therefore, the quadratic function that models the data is:
[tex]f(x) = 5x^2 - 42x + 174[/tex]
Rounding the coefficients to the nearest whole number, the quadratic function becomes:
[tex]f(x) = 5x^2 - 42x + 174[/tex]
Learn more on quadratic on https://brainly.com/question/1214333
#SPJ3
Use the coordinates of the labeled point to find the point- slope equation of the line
Answer:
[tex]A(0,3)(x_1,y_2)[/tex]
[tex]B(2,-5)(x_2,y_2)[/tex]
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\longrightarrow[/tex] [tex]\frac{-5-3}{2-0}[/tex]
[tex]\longrightarrow \frac{8}{2}[/tex]
[tex]\longrightarrow -4[/tex]
[tex]y-y_2=m(x-x_2)[/tex]
[tex]\longrightarrow y-(-5)=-4(x-2)[/tex]
[tex]\longrightarrow y+5=-4(x-2)[/tex]
[tex]ANSWER:B[/tex]
--------------------------
hope it helps...
have a great day!!
Prove algebraically that n^2-2-(n-2)^2 is always even
Answer:
It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)
Step-by-step explanation:
[tex] {n}^{2} - 2 - ( {n}^{2} + 4 - 4n) = \\ {n}^{2} - 2 - {n}^{2} - 4 + 4n = \\ 4n - 6 = 2(2n - 3)[/tex]
Step-by-step explanation:
what is the solution to log_5 (10x-1)=log_5 (9x+7)
a) x= 6/19
b) x= 8/19
c) x=7
d) x=8
Answer: D
To solve the equation we proceed as follows:
log5(10x-1)=log5(9x+7)
canceling out log5 we get:
(10x-1)=(9x+7)
solving for x we get:
10x-9x=7+1
x=8
thus the value of x=8
Step-by-step explanation:
it was on brainly already
I need this solve really fast.
Which sequences are geometric? Select three options.
Answer:
I guess this is the answer
Answer:
1 2 and 4 not capping like everyone else
Step-by-step explanation:
the quiz sequence
what is lockdown
what is lockdown
Answer:
lockdown is a restriction policy for people or community to stay where they are, usually due to specific risks to themselves or to others if they can move and interact freely.
lockdown is when a country or a state closes and prevent entry or exit from one state or country to another in order to avoid the spread of for example a disease.
Find the measure of the indicated angle
Answer:
[tex]AB=AC\:(given)[/tex]
∠B=∠C
[tex]x=70^{o}[/tex]
-------------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
Helppppp pls and thankyouuu
Answer:
20 minutes on the stationary bike
10 minutes on the treadmill
Step-by-step explanation:
x = minutes on bike
y = minutes on treadmill
x + y = 30
12x + 15y = 390
x = 30-y
12(30-y) + 15y = 390
360 - 12y + 15y = 390
3y = 30
y = 10
x + 10 = 30
x = 20
The cost of John’s bike(p) cannot exceed $5,000. Write this sentence in the form of a set notation.
Answer:
[tex]p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}[/tex]
Step-by-step explanation:
The expression for the cost of John's bike (p) using set notation can written as follows;
We note that the cost of the bike is a member of the positive rational number and the cost price of the bike cannot exceed $5,000, therefore, it is less than or equal to $5,000, therefore, we get the following set notation;
[tex]p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}[/tex]
C.P 0f 16 oranges is equal to the Sip of 22
oranges. find profit
percent
or LOSS
Step-by-step explanation:
Given that :C.P of 16 oranges is equal to the SP of 22 oranges.To calculate :Profit or loss %.Calculations :LCM of 16 and 22 is 176.
Let the CP of 16 oranges be Rs. 176 and also let the SP of 22 oranges be Rs. 176.
So,
➝ CP of 16 oranges = Rs. 176
➝ CP of 1 orange = Rs. 176 ÷ 16
➝ CP of 1 orange = Rs. 11
And,
➝ SP of 22 oranges = Rs. 176
➝ SP of 1 orange = Rs. 176 ÷ 22
➝ SP of 1 orange = Rs. 8
______________
Here, CP is greater than SP. So, here is loss.
➝ Loss = CP ― SP
➝ Loss = Rs.(11 ― 8)
➝ Loss = Rs. 3
______________
Finding the loss%,
★ Loss % = {(Loss/CP) × 100} %
➝ Loss % = {3/11 × 100} %
➝ Loss % = 27.27 %
Therefore, loss% is 27.27%.
In the picture shown below, what proportion would NOT give the correct value of x?
Answer: (c)
Step-by-step explanation:
In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of [tex]x[/tex] that is,
[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]
Option (c) does not give the correct value of [tex]x[/tex]
Answer:
C
Step-by-step explanation:
In the given figure, two triangles are similar namely and
For similar triangles, the ratio of the corresponding sides are equal.
For option (a), Hypotenuse to Perpendicular ratio is given, that is correct
Similarly for option (b), Perpendicular to hypotenuse ratio is given
Both option (a) and (b) gives the same value of that is,
Option (c) does not give the correct value of
For f (x) - 4x +1 and g(x) = ? -5, find (fºg)(4).
[tex](f\circ g)(x)=f(g(x))=4(x^2-5)+1=4x^2-19[/tex]
[tex](f\circ g)(4)=4\cdot4^2-19=64-19=\boxed{45}[/tex]
Hope this helps.
Please help! will give brainly
Answer:
5/6
Step-by-step explanation:
first form numerator you will multiply by π it means 3.14 multiply 11
the answer equals 34.54 ..and then you will use √ it means square root....so the answer is 5
the annwer is
5/6
Answer:
Step-by-step explanation:
[tex]\frac{11\pi }{6}[/tex] = 11 × [tex]\frac{\pi }{6}[/tex] = (12 - 1) × [tex]\frac{\pi }{6}[/tex]
The terminal point located in IV quarter ⇒ x-coordinate is positive and y-coordinate is negative.
(x, y) = ( [tex]\frac{\sqrt{3} }{2}[/tex] , - [tex]\frac{1}{2}[/tex] )
find the area and perimeter of a circle
Answer:
Step-by-step explanation:
r=5 cm
area=πr²
perimeter=2πr
substitute the value of r and calculate.
Answer:
78.54 [tex]cm^{2}[/tex] Area
31.42 cm Circumference/perimeter
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
C = 2[tex]\pi[/tex]r
A = [tex]\pi[/tex][tex]5^{2}[/tex]
A = 25[tex]\pi[/tex]
A = 78.54
C = 2[tex]\pi[/tex](5)
C = 10[tex]\pi[/tex]
C = 31.42