Answers
Answer:
d = 9
Step-by-step explanation:
Use the slope formula to calculate m and equate to m = 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)
m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )
3(d - 4) = 15 ( divide both sides by 3 )
d - 4 = 5 ( add 4 to both sides )
d = 9
Related Questions
74 divided by 3 times 7 equals what?
Answers
Answer:
518 / 3.
Step-by-step explanation:
(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.
Hope this helps!
find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3
Answers
Answer:
GH = 9 units
Step-by-step explanation:
Given HI = 4b - 5 and HI 3, then
4b - 5 = 3 ( add 5 to both sides )
4b = 8 ( divide both sides by 4 )
b = 2
Thus
GI = 5b + 2 = 5(2) + 2 = 10 + 2 = 12
GH = GI - HI = 12 - 3 = 9
The measure of one base angle is an isosceles triangle is 20 degree. the measure of the largest angle in the triangle is
Answers
Answer:
140°
Step-by-step explanation:
Every triangles angles when combined equals 180°
In an isosceles triangle there are 2 acute angles and one obtuse angles.
It was given that the base angle/acute angle is 20°
This brings us to our equation. 20° + 20° + x = 180°
20 + 20 = 40
40 + x = 180
Now we solve algebraically:
180-40= 140
Therefore the answer is x = 140°
I hope this helps!
given that sin x equals to a over b then what is tan x
Answers
Answer:
Hey there!
Sine is equal to opposite/hypotenuse
Tangent is equal to opposite/adjacent
opposite=a
hypotenuse=b
adjacent=c
Thus, tangent x= a/c.
Hope this helps :)
Answer:
tan x = a/sqrt(b^2 - a^2)
Step-by-step explanation:
sin x = a/b = opp/hyp
tan x = opp/adj
adj^2 + opp^2 = hyp^2
adj^2 + a^2 = b^2
adj = sqrt(b^2 - a^2)
tan x = a/sqrt(b^2 - a^2)
someone plz help !
A town currently has a population of 1,000,000, and the population is increasing 6 percent every year. Write a recursive function in now-next form to predict the population at any year in the future.
Answers
Answer:
Y=x(t)(0.06) + x
Y =predicted population
X= population currently
t= number of years
Y= 60000(t) + 1000000
Step-by-step explanation:
Let the current population be x
X= 1000000
The rate of increase= 6% each year
Let the the predicted population= y
If the population is to increase by 6% each year the function predicting the population at the future will be
Y=x(t)(0.06) + x
The only changing value in the above formula is the time.
Y= 1000000(0.06)(t) +1000000
Y= 60000(t) + 1000000
Answer: The actual answer is:
next = now x 1.06, starting at 1,000,000
[4 + (3 – 1)]3 = ? A. 12 B. 32 C. 64 D. 128 E. 216
Answers
Answer:
18
Step-by-step explanation:
Answer:
18.
Step-by-step explanation:
[4 + (3 - 1)] * 3
= (4 + 2) * 3
= 6 * 3
= 18
Hope this helps!
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT
Answers
Answer:
[tex]\boxed{\sf \ \ 28 \ \ }[/tex]
Step-by-step explanation:
Hello,
Please find attached the graph
AB = 6-2 = 4
DA = 7-0 = 7
So the area of the rectangle is AB * DA = 4 * 7 = 28
Hope this helps
Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).
Answers
Answer:
2x-(3x+5) = -x-5
Step-by-step explanation:
2x + 0
-
3x + 5
-———————-
-x - 5
ANSWER QUICKLY plzzzzzz
Answers
Answer:
$95.42 more
Step-by-step explanation:
To find out how much money was made with Investment A after 2 years:
First, we are told that 160 dollars is saved per month for 2 years. There are 24 months in 2 years, so we have to multiply $160 by 24 months.
160 *24=$3840 after 2 years.
Next, we learn thar 2.5% interest rate is added to the total amount saved in those two years. So, we must turn 2.5% in to a decimal, which is 0.025.
Now, multiply 3840*0.025 to get $96.
We have to add that on the the amount saved, so 3840+96=$3936.
Investment A made $3936 after 2 years.
To find out how much money was made with Investment B.
So, we have to find compound interest. The formula for compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
In this problem: P=3800, r=3% or 0.03, n=1, and t=2.
So, lets write it out: [tex]A=3800(1+\frac{0.03}{1} )^{2*1}[/tex]
That becomes: [tex]A=3800(1.03)^{2}[/tex]
Simplify it even further: [tex]A=3800(1.0609)[/tex]
Multiply the last two numbers to get: [tex]A=4031.42[/tex]
Investment B made $4031.42 after 2 years.
The question asks us to find out how much more money Investment B made than Investment A after 2 years. It's simple. Just subtract Investment A's amount from Investment B's amount.
4031.42-3936=95.42
Investment B made $95.42 more than Investment A after 2 years.
The researcher is interested to know if policy A (new) is more effective than policy B (old). Frame the hypothesis and describe what each error would represent in terms of reality and conclusion.
Answers
Answer:
Null hypothesis: Policy B remains more effective than policy A.
Alternate hypothesis: Policy A is more effective than policy B.
Step-by-step explanation:
Remember, a hypothesis is a usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.
We have two types of hypothesis errors:
1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.
That is, rejecting the assumption that policy B remains more effective than policy A when it is actually true.
2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is actually false.
14. 2057 Q.No. 1(a) Sum to infinity:
1 + 3x + 5x2 + 7x3 +... (-1<x<1).
Answers
The sum appears to be
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n[/tex]
I'll assume you want to find out what function this sum converges to.
Let
[tex]f(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
with -1 < x < 1. Differentiating gives
[tex]f'(x)=\dfrac1{(1-x)^2}=\displaystyle\sum_{n=0}^\infty nx^{n-1}=\sum_{n=1}^\infty nx^{n-1}=\sum_{n=0}^\infty(n+1)x^n[/tex]
So we have
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=f'(x)+xf'(x)[/tex]
[tex]\displaystyle\sum_{n=0}^\infty(2n+1)x^n=\frac{1+x}{(1-x)^2}[/tex]
Find the angle measures given the figure is a rhombus.
Answers
Answer:
1 = 90°, 2 = 66°
Step-by-step explanation:
Since the diagonals of a rhombus are perpendicular, ∠1 = 90°. Using the Exterior Angles Theorem (exterior angle = sum of remote interior angles, we see that ∠2 = 90 - 24 = 66°.
What is the value of y? Answer asap
Answers
Answer:
y=3
Step-by-step explanation:
10=2y+4
10-4=2y
6=2y
3=y
What the answer now fast correct
Answers
Answer:
12.6 units.
Step-by-step explanation:
According to cosine formula:
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Using cosine formula in triangle STU, we get
[tex](SU)^2=(ST)^2+(TU)^2-2(ST)(TU)\cos T[/tex]
[tex]t^2=(5)^2+(15)^2-2(5)(15)\cos (53^{\circ})[/tex]
[tex]t^2=25+225-150(0.60)[/tex]
[tex]t^2=160[/tex]
Taking square root on both sides.
[tex]t=\sqrt{160}[/tex]
[tex]t\approx 12.6[/tex]
Therefore, the value of t is 12.6 units.
The coordinates of A, B, and C in the diagram are A (p, 4), B (6, 1 ), and C (9, q). Which equation correctly relates p and q? ↔ ↔ ↔ ↔ Hint: Since AB is perpendicular to BC, the slope of AB × the slope o BC = -1. A. -q − p = 7 B. q − p = 7 C. p − q = 7 D. p + q = 7
Answers
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Answer:
C p+q=7
Step-by-step explanation:
I did it on plato and it was right
Evaluate 7m + 2n - 8p/n for m = –4, n = 2, and p = 1.5.
Answers
Answer:
-30
Step-by-step explanation:
7m + 2n - 8p/n
Let m = –4, n = 2, and p = 1.5
7(-4) + 2 ( 2) -8*(1.5)/2
-28 + 4 - 4*1.5
-28+ 4 - 6
-30
Answer:
-30
Step-by-step explanation:
Hey there!
Well given,
m = -4
n = 2
p = 1.5
We need to plug those number into,
7m + 2n - 8p/n
7(-4) + 2(2) - 8(1.5)/(2)
-28 + 4 - 12/2
-28 + 4 - 6
-24 - 6
-30
Hope this helps :)
If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 0), (negative 1, 2). (–2, 0) (0, –2) (5, –7) (5, –2)
Answers
Answer:
(0, –2)
Step-by-step explanation:
I am assuming that point 'B' is (-5 , 0).
The translation rule is: [tex](x,y)\rightarrow(x+5,y-2)[/tex].
Apply the rule to point 'B':
[tex]\frac{(-5,0)\rightarrow(-5+5,0-2)}{(x,y)\rightarrow(x+5,y-2)}\rightarrow\boxed{(0,-2)}[/tex]
B' should be (0, -2).
Answer:
Guy above me might be right but Im not sure. Im on the cumulative exam on edge.
Step-by-step explanation:
Please answer it now in two minutes
Answers
Answer:
3.9
Step-by-step explanation:
Pythagorean theorem:
a^2 + b^2 = c^2
a^2 + 1^2 = 4^2
a^2 + 1 = 16
a^2 = 15
a = sqrt(15)
a = 3.9
Answer a = 3.9 yards
Answer:
[tex]\boxed{3.9}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
Apply Pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
[tex]a^2 + 1^2 = 4^2[/tex]
[tex]a^2 + 1 = 16[/tex]
[tex]a^2 = 15[/tex]
[tex]a=\sqrt{15}[/tex]
[tex]a \approx 3.872983[/tex]
The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than 0.4 ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Would it be significant for this sample of 800 to contain 494 jawbreakers that weigh more than 0.4 ounces? Consider as significant any result that differs from the mean by at least 2 standard deviations. That is, significant values are either less than or equal to muminus2sigma or greater than or equal to muplus2sigma.
Answers
Answer:
Yes, it would be statistically significant
Step-by-step explanation:
The information given are;
The percentage of jawbreakers it produces that weigh more than 0.4 ounces = 60%
Number of jawbreakers in the sample, n = 800
The mean proportion of jawbreakers that weigh more than 0.4 = 60% = 0.6 = [tex]\mu _ {\hat p}[/tex] =p
The formula for the standard deviation of a proportion is [tex]\sigma _{\hat p} =\sqrt{\dfrac{p(1-p)}{n} }[/tex]
Solving for the standard deviation gives;
[tex]\sigma _{\hat p} =\sqrt{\dfrac{0.6 \cdot (1-0.6)}{800} } = 0.0173[/tex]
Given that the mean proportion is 0.6, the expected value of jawbreakers that weigh more than 0.4 in the sample of 800 = 800*0.6 = 480
For statistical significance the difference from the mean = 2×[tex]\sigma _{\hat p}[/tex] = 2*0.0173 = 0.0346 the equivalent number of Jaw breakers = 800*0.0346 = 27.7
The z-score of 494 jawbreakers is given as follows;
[tex]Z=\dfrac{x-\mu _{\hat p} }{\sigma _{\hat p} }[/tex]
[tex]Z=\dfrac{494-480 }{0.0173 } = 230.94[/tex]
Therefore, the z-score more than 2 ×[tex]\sigma _{\hat p}[/tex] which is significant.
Answer:
Step-by-step explanation:
min 452, max 507, so 494 is not unusual.
What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth. A circle is shown. 2 rays form an angle of 45 degrees. The length of the rays is 8 inches. Arc s contains the angle measuring 45 degrees.
Answers
The length of the arc s is 6.283 inches.
Length of an ArcThe length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]
where
θ is the angle, which arc creates at the center of the circle in degrees.
Given to us,Radius, r = 8 in.
Angle, θ = 45°,
Length of the Arc[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]
[tex]\rm{ Length\ of\ the\ Arc\ s = 2\times \pi \times(8)\times\dfrac{45}{360}[/tex]
[tex]\rm{ Length\ of\ the\ Arc\ s =6.283\ inches.[/tex]
Hence, the length of the arc s is 6.283 inches.
Learn more about Length of an Arc:
https://brainly.com/question/1577784
The approximate length of arc s on the given circle is; 6.28inches
Length of an arc.The length of an arc is given by the formula;
L = (a/360) ×2πr.where, a = angle subtended by the arcr = radius of the circle.Therefore,
Length, L = (45/360) × 2 × 3.14 × 8
L = 50.24/8L = 6.28 inchesRead more on length of an arc;
https://brainly.com/question/2005046
..................................
Answers
Answer:
A
Step-by-step explanation:
Type in the equation of the graphing calculator and press graph
PLEASE PLEASE HELP ME A pinecone drops from a tree branch that is 36 feet above the ground. The function h = -16t2 + 36 is used. If the height h of the pinecone is in feet after t seconds, at about what time does the pinecone hit the ground? Could 2 seconds be a reasonable answer to this model?
Answers
Answer:
T = 1.5s
Step-by-step explanation:
Hello,
To find the time the pincone hits the ground, we need to use the equation given.
Note that h = 0 when the pinecones hits the ground.
This question relates to motion under gravity.
h = -16t² + 36
0 = -16t² + 36
Make t² the subject of formula
16t² = 36
t² = 36 / 16
t² = 2.25
Take the square root of both sides
t = √(2.25)
t = 1.5s
The time it takes the pinecone to hit the ground is 1.5s.
Solve the equation for x.
Answers
Answer:
x = 27
Step-by-step explanation:
2/3x - 1/9x + 5 = 20
Subtract 5 from each side
2/3x - 1/9x + 5 -5= 20-5
2/3x - 1/9x = 15
Get a common denominator on the left side
2/3 *3/3 x - 1/9x = 15
6/9x - 1/9x = 15
5/9 x = 15
Multiply each side by 9/5
9/5 * 5/9x = 15 * 9/5
x = 15/5 *9
x = 3*9
x = 27
Answer:
x=27
Step-by-step explanation:
2/3 x -1/9 x+5=20
2/3x -1/9 x=20-5 common denominator
(6x-1x)/9=15 multiply each side by 9
(5x)=135
5x=135
x=135/5=27
x=27
no clue how to do this, someone pls help
Answers
Answer:
6π
Step-by-step explanation:
First we need to find the circumference of the circle. We know that the radius is 4 and the formula is πd or 2πr
Leaving it in terms of pi, the circumference is 8π
Now we need to find the length of the arc.
Since the missing part of the circle is labeled with a right angle, we know that it's exactly 1/4 of the whole circle. That means the arc we need to find is 3/4 of the circumference.
3/4 of 8π is 6π
While watching a circus show, I counted out the number of acrobats and elephants. I counted 40 legs and 15 heads. How many acrobats did I see in the show?
Answers
Answer:
y=10 ( number of acrobat)
Step-by-step explanation:
let x be the elephant and y the acrobat
elephant has 4 legs and acrobat 2
4x+2y=40
x+y=15 ⇒x=15-y
substitute for x in the equation:
4(15-y)+2y=40
60-4y+2y=40
-2y=40-60
y=-20/-2
y=10 ( number of acrobat)
number of elephant=15-10=5 elephants
Find the value of x. Round the length to the nearest tenth.
Answers
Answer:
x=6 and x=5.1
Step-by-step explanation:
Stephanie casts a shadow of 1.2 m and she is 1.8 m tall. A wind turbine casts a shadow of 10m at the same time that Stephanie measured her shadow. Draw a diagram of this situation
and then calculate how tall the wind turbine is.
Answers
Answer:
see below for a diagram15 mStep-by-step explanation:
Stephanie is 1.8/1.2 = 1.5 times as tall as her shadow is long. We expect the same is true of the wind turbine.
The wind turbine's shadow is 10 m long, so its height is 1.5·(10 m) = 15 m.
The wind turbine is 15 m tall.
Ahmed earns $1.50 for every video game he sells. When he sells one carton of 30 video game, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?
Answers
x >= 246.3
check:
1.50*246 + 10*8 = 449
His next sale will push him over $450
Answer:
Step-by-step explanation:
1.50x + 10[x/30] >= 450
x >= 246.3
check:
1.50*246 + 10*8 = 449
$450
find the value of x and explain
Answers
Answer:
D
Step-by-step explanation:
The chord- chord angle 105° is half the sum of the arcs intercepted by the angle and its vertical angle, thus
[tex]\frac{1}{2}[/tex](120 + x) = 105 ( multiply both sides by 2 )
120 + x = 210 ( subtract 120 from both sides )
x = 90 → D
A King wanted to replace his Prime-Minister but didn't want to upset him too much. So he called the Prime-Minister to his chamber and put two pieces of paper in his briefcase. He told the Prime-Minister that "On one piece of paper it says 'leave' and on the second piece of paper it says 'stay'". The piece of paper that you pull out of the briefcase will decide your fate." The Prime-Minister realized that both pieces of paper say 'leave'. What should the Prime-Minister do to be able to keep his position?
Answers
Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.
Step-by-step explanation: