Answer:
9x²
Step-by-step explanation:
(- 3x)²
= - 3x × - 3x
= - 3 × - 3 × x × x
= 9 × x²
= 9x²
answer asap-30 points
Find the measure of angle R.
A- 45
B- 90
C- 60
D- 30
A mountain in Jackson County is eroding and losing elevation at a rate of 5% every
millennium. If the current elevation is 1,300 meters, how tall will the mountain be in 8
millennia?
mund your anuor to the noroctwhold number
Answer:
862 m (nearest whole number)
Step-by-step explanation:
General form of an exponential function: [tex]\sf y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)
Given:
a (initial value) = 1300 mb = 95% = 0.95x = 8 millenniaSubstituting these values into the formula:
[tex]\sf \implies y=1300(0.95)^8[/tex]
[tex]\sf \implies y=862.4467607...[/tex]
[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]
What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
9.2 units, 49.4° north of west
10.4 units, 40.6° north of west
9.2 units, 49.4° south of east
10.4 units, 40.6° south of east
Using vector concepts, it is found that the correct option regarding the magnitude and the tail is given by:
9.2 units, 49.4° north of west
How do we find the vector, and what is it's magnitude?To find them, we subtract the end coordinate by the start coordinate, hence:
RS = S - R = (-2, 1) - (4,-6) = (-6,7).
The magnitude is given by the square root of the sum of the squares of each coordinate, hence:
[tex]|RS| = \sqrt{(-6)^2 + 7^2} = \sqrt{85} = 9.2[/tex]
Considering a xy graph, the vector is decaying, that is, moving north of west, hence the correct option is:
9.2 units, 49.4° north of west
More can be learned about vectors at brainly.com/question/24606590
Round 15.209 to the nearest hundreth
A. 15.21
B. 15.20
C. 15.2
D. 16
Answer:
A.15.21
Step-by-step explanation:
In rounding of numbers when the next number is greater than 5 u round it on next number by adding one
Solve the system of equations. 3 x + 4 y = − 23 x = 3 y + 1 3x+4y=−23 x=3y+1
x=
Answer:
x=−5
y=−2
Step-by-step explanation:
{3x+4y=-23}{x=3y+1}
x=−5
y=−2
i’m struggling and my brain won’t work right now help
Answer:
10sr2 or 14.1421356
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
if the triangle is an Isosceles triangle, then it's other two angles measure 45° each.
So, let's use Trigonometry here :
[tex]\qquad \sf \dashrightarrow \: \cos(45) = \dfrac{10}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{10}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 10 \sqrt{2} [/tex]
Therefore, the value of x is 10√2 units
i will marke brainliest. what is If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Heres a hint think about how many words are in the number when it is in word form
Answer:
3Step-by-step explanation:
Count the number of letters
1 = one ⇒ 3 letters2 = two ⇒ 3 letters3 = three ⇒ 5 letters4 = four ⇒ 4 letters5 = five ⇒ 4 letters6 = six ⇒ 3 lettersChange integers to strings and put them
1=one=32=two=33=three=54=four=45=five=36=six=37=seven=5Hence answer is 3
Oscar's spinner has scores from 1 to 4. The table shows the probabilities of scores 1, 2 and 3
1=0.1
2=0.5
3.0.1
4=?
Work out 4
Hussain and sam are sharing money in the ratio of 2:5 sam got 70p how much money were they sharing in total
Answer:
if 5=70
2=?
cross multiply=28
add 70+28=98
Step-by-step explanation:
PLEASE HELP ASAP!!
A savings account starts with $420. After 6 years of continuously compounding at an interest rate, r, the account has a balance of $1,300. What is the interest rate percentage (do not type % it is already there)? Round answer to the nearest hundredth.
Answer:
18.83% (nearest hundredth)
Step-by-step explanation:
Continuous Compounding Formula
[tex]\sf A=P(e)^{rt}[/tex]
where:
A = amountP = principal (initial amount)e = mathematical constant ≈ 2.7183r = interest rate (in decimal form)t = time in yearsGiven:
A = $1,300P = $420t = 6 yearsSubstituting given values into the formula:
[tex]\sf \implies 1300=420(e)^{6r}[/tex]
[tex]\sf \implies \dfrac{1300}{420}=e^{6r}[/tex]
[tex]\sf \implies e^{6r}=\dfrac{65}{21}[/tex]
Taking natural logs of both sides:
[tex]\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r\ln e=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r(1)=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies r=\dfrac16 \ln \dfrac{65}{21}[/tex]
[tex]\sf \implies r=0.1883108054...[/tex]
Therefore, the interest rate is 18.83% (nearest hundredth)
Compare by finding the LCM of denominator 3/8 and 3/4
LCM = 8
[tex]\frac{3}{8}[/tex] < [tex]\frac{6}{8}[/tex]
Step-by-step explanation:Finding the LCM is useful to compare the size of 2 different fractions.
LCM
First, let's define LCM. LCM stands for least common multiple. A multiple is a product of 2 numbers. For example, the multiples of 4 include 4, 8, 12, etc. The LCM of 4 and 8 is 8.
Comparing
Using the LCM we can find new fractions with the same denominator. These fractions are [tex]\frac{3}{8}[/tex] and [tex]\frac{6}{8}[/tex]. From this, we can tell that 6/8 is larger than 3/8.
Moesha needs $79 for a class trip.
She alreadv has s22 and she can earn
the rest by babysitting for 8 hours.
If h represents her hourly earnings,
which of the following equations can
be solved to find Moesha's hourly
earnings? Select all that apply. Answer : 79=22+8H
Answer:
79-22=57.
Your answer is correct. You also have to fill in the second one (B)
Answer:
79-22=57
Step-by-step explanation:
I can explain on phone
Together, teammates Pedro and Ricky got 2680 base hits last season. Pedro had 280 more hits than Ricky. How many hits did each player have?
Answer:
Ricky it is 1,202
And for Pedro 1202 + 276 = 1478
Step-by-step explanation:
The computation is shown below:
Let us assume the ricky be x,
So, pedro be x + 276
Now the equation is,
x + x + 276 = 2680
2x + 276 = 2680
2x = 2680-276
2x = 2404
x = 1,202
For Ricky it is 1,202
And for Pedro 1202 + 276=1478
How is the change of base formula used in solving logarithmic equations?
Answer:
See below
Step-by-step explanation:
The change of base formula for logarithms is [tex]\log_a(x)=\frac{\log_b(x)}{\log_b(a)}[/tex]. This formula allows us to rewrite a logarithmic expression so that the new expression contains a different base.
A cart weighing 200 pounds rests on an incline at an angle of 40 degrees. what is the required force to keep the cart at rest? round to the thousandths place
a) 128.558 pounds
b) 133.388 pounds
c) 149.023 pounds
d) 153.208 pounds
The force needed to keep the cart at rest is 149.022 pounds
Force and MotionGiven Data
Weight of cart = 200 poundsAngle = 40 degreeThe force needed to keep the cart at rest is the vertical component of the resultant force, hence we have
Fy = Mg sin θ
Substituting our given data we have
Fy = 200 sin 40
Fy = 200 *0.74511
Fy = 149.022 pounds
Learn more about force here:
https://brainly.com/question/12970081
Answer:
128.558
Step-by-step explanation:
what is the rectangular form of the parametric equations x = 4 cos t and y = 5 sint, where
Let's use some identities to help us solve
[tex]x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)[/tex]
We know --> [tex]sin^2(t)+cos^2(t) = 1[/tex]
So:
[tex]\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1[/tex]
Thus the choice is the second choice
An equation is formed of two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given two of the equations which can be rewritten as shown below,
x = 4 cos(t)
x/4 = cos(t)
Squaring both sides of the equation,
x²/16 = cos²(t)
y = 5 sin(t)
y/5 = sin(t)
Squaring both sides of the equation,
y²/25 = sin(t)
y²/25 = sin²(t)
Adding the two of the given equations we will get,
(x²/16) + (y²/25) = cos²(t) + sin²(t)
(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1
The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.
Learn more about Equation:
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Describe the characteristics of this scatterplot.
The characteristics of this scatter plot
D⇢positive O⇢No outliersF⇢LinearS⇢ModerateHence ,this scatter plot has Moderately postive linear relationship without any outliner
100 PTS!!A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P’Q’ and A’B’ and M’N’.
Drag and drop the measure to correctly match the lights of the images.
P’Q’ ->
A’B’->
M’N->
Choices: 0.375cm, 0.5cm, 0.75cm, 6cm, 8cm, 12cm.
Answer:
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
Step-by-step explanation:
A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.
The length of PQ is given as: 2 cm.
The length of line segment AB is given as: 1.5 cm
The length of line segment MN is given as: 3 cm.
Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.
PQ → P'Q'
⇒ Length of P'Q'= 8 cm. ( since 4×2=8)
AB → A'B'
⇒ Length of A'B'= 6 cm. ( since 1.5×4=6)
MN → M'N'
⇒ Length of M'N'= 12 cm. ( since 4×3=12)
Hence,
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
As no points are shown so only steps can be provided to solve
So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)
So new coordinates are (4x,4y)
So
if length of segment was x then after dilation new length is 4x
Which of the following is the equation of the circle shown below?
Answer: A
Step-by-step explanation:
The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.
I have no idea what to do, help :’)
Answer:
x = 52
Step-by-step explanation:
I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.
So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180
A + B = 180
2x + 76 = 180
2x = 104
x = 52
I hope this helps!
Answer: x=52
Step-by-step explanation:
uh i just knew
Is 336 − –5,083 positive or negative?
Answer:
positive
Step-by-step explanation:
if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.
A circle has an area of 155 square feet. What is the approximate radius of the approximate radius of the circle?
Answer:
7.02ft
Step-by-step explanation:
What is the answer to this math problem?
Answer:
7
Step-by-step explanation:
[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]
[tex]\\ \rm\Rrightarrow 14\div 2[/tex]
[tex]\\ \rm\Rrightarrow 7[/tex]
Done!
What is the equation of the blue line?
Answer:
y=2x+3
Step-by-step explanation:
Because the y-intercept starts at 3 and it goes up by 2 and to the side 1 so it would be y = 2x +3
Answer: y = 2x + 3
Step-by-step explanation:
We will write the equation in slope-intercept form.
y = mx + b
The slope can be found with "rise over run" since we have clear points on the graph.
Start at (0, 3), count up 2 units, and count one unit to the right. This gives us a slope of positive 2.
Rise / run = 2 / 1 = 2
The "b" value is where the line hits the y-axis. It hits the y-axis at y-coordinate 3, so our y-intercept is positive 3.
Final equation:
y = 2x + 3
In triangle ABC, the measure of angle A is90, the measure of angle B 45 and measure of angle C 45 what is the combined measure of the three angles?
180.....,...........
Step-by-step explanation:
angle A + angle B + angle C = 90+45+45
= 180
If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x<0.
Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
What are the exponential functions?The given exponential functions, f(x) and g(x), are respectively given by:
[tex]f(x) = 3^x[/tex][tex]g(x) = 7^x[/tex]When x < 0, one possible value is x = -1, hence evaluating the functions at these values:
[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]
[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]
[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
More can be learned about exponential functions at https://brainly.com/question/25537936
Lisa brought $5.60 to the bakery. She spent $2.95 on cupcakes. How much money does Lisa have left?
Answer:
2.65
Step-by-step explanation:
5.60-2.95 = the sum of the money left.
A store sells a package of 8 water bottles for $7.20.
What is the price per water bottle?
Answer:
$0.90
Step-by-step explanation:
$7.20 divided by 8 is 0.9.
Answer:
.90
8 divided by 7.20 is 1.11
1.11 times 7.20 = 8
Step-by-step explanation:
multiply (2a+3)(2a-3)
Answer:
4a²-9
Step-by-step explanation:
(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}
= 4a²-9
!!20 points and Brainliest please help!!!
Which of the following could be factored by grouping?
A) ab + ad - ac + ae
B) ac + ad + bc - bd
C) ab + cd – ab + cd
D) ac + ad + bc + bd
D) ac + ad + bc + bd
Hope it helps :)
Answer:
D) ac + ad + bc + bd
Step-by-step explanation: