Answer:
y = -3/5 x +3
Step-by-step explanation:
3x + 5y = 15
Subtract 3x from each side
-3x+3x + 5y = -3x+15
5y = -3x+15
Divide each side by 5
5y/5 = -3x/5 +15/5
y = -3/5 x +3
Carina plants a garden that has a length of x − 1 feet and a width of -3x − 1 feet. She wants to add planting soil to the garden. Which of the following equations would help solve this problem?
Answer:
A
Step-by-step explanation:
A). Will find you the area so you can find how much soil to cover the entire area
Answer:
(x-1)(-3x-1)
Step-by-step explanation:
A=(b)(h)
Area is base times height and in order to know how much soil to put in you need to find the area of the garden.
The value of a car is depreciating at a rate of 5% per yer. In 2015, the car was worth $32,000. Find the value of the car in 2018.
Answer:
$27200
Step-by-step explanation:
32,000/100=320
320x5=1600
$1600x3=4800
$32000-$4800=$27200
Given point A (-9, -9) and B (5, -2) find the coordinates of point P on the directed line segment AB in the ratio 3:4.
Answer:
We have point P(-3,-6).
Step-by-step explanation:
We want to find a point P(x,y).
Since it is on the directed line segment AB in the ratio 3:4, it means that:
\(P - A = \frac{3}{3+4}(B - A)\)
So
\(P - A = \frac{3}{7}(B-A)\)
We apply this to both the x-coordinate and y-coordinate of P.
x-coordinate:
x-coordinate of A: -9
x-coordinate of B: 5
x-coordinate of P: x
So
\(P - A = \frac{3}{7}(B-A)\)
\(x - (-9) = \frac{3}{7}(5-(-9))\)
\(x + 9 = \frac{3}{7} \times 14\)
\(x + 9 = 6\)
\(x = -3\)
y-coordinate:
y-coordinate of A: -9
y-coordinate of B: -2
y-coordinate of P: y
So
\(P - A = \frac{3}{7}(B-A)\)
\(y - (-9) = \frac{3}{7}(-2-(-9))\)
\(y + 9 = \frac{3}{7} \times 7\)
\(y + 9 = 3\)
\(y = -6\)
We have point P(-3,-6).
Auto racing is a sport enjoyed by many people. In each race, there may be up to 25 cars on the racetrack. Which of the following is NOT an example of a quantitative variable you might use to describe a car in a race?
the brand of car
the number of tires used
the number of laps completed
the average speed (in mpg)
Answer:
A is correct i assume
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
The person above me assumed correctly lol
Explain how circle C with center at (−9, 8) and radius 7 is similar to circle D with center at (−1, −1) and radius 5.
Answer:
We are told that circle C has center (-4, 6) and a radius of 2.
We are told that circle D has center (6, -2) and a radius of 4.
If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.
Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:
If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.
Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.
Thus, the argument is correct and the last choice is best.
Cute copy and paste:
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. * . . ° . ● ° .
¸ . ★ ° :. . • ° . * :. ☆
° :. ° .☆ . ● .° °★
★ ★°★ . * . °☆ . ● . ★ ° . • ○ ● . ☆ ★ ° ☆ ¸. ¸ ★ . • ° . *
¸ . ★ ° :. :. . ¸ . ● ¸ ° ¸. * ● ¸ °☆
☆ °☆ . * ● ¸ . ★¸ .
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What is 86% of 950? *
Answer:86%of 950= 817
Step-by-step explanation:
Answer:
817
Step-by-step explanation:
Jordan bought 7 chicken wings for $14.00. If Jordan spent $36.00, how many chicken wings did he buy?
Answer:
18
Step-by-step explanation:
7/14 = x/36
7*36=14*x
252=14x
x=252/14
x=18
Hope this helped !
Hi please Help ????!!!!! I need help
Answer:
c
the answer is "C"
Because it is the answer
Answer:
Is B or D
Step-by-step explanation:
=5x3+10x2+6x+1
what is the Estimate of 3583.37
Answer: 3583.37 ≈ 3500
Step-by-step explanation:
1. What expression is same as (a.a.a)(b.b)?
A. (4a)(2b)
C. a" b2
B. a2 b2
D. 8ab
Answer:
a^3b^2
Step-by-step explanation:
Recall that the first law of indices states that
a^x * a^y = a^(x+y)
Hence the expression (a.a.a)(b.b)
= a^(1+1+1) * b^(1+1)
= a^3b^2
This is the product of a raised to the power of 3 and b raised to the power of 2
NEED HELP PLS
PLE PLS PKS
Answer:
4 busses
Step-by-step explanation:
20*5= 100
30+30+30=90
+ 30= 120
8.
Which of the following is the minimum value of the function y = 1/2x^2 + 2x = + 8 ?
A. 6
B. 0
C. 8
D. 4
Answer:
A. 6
Step-by-step explanation:
Use the formula x = − b /2 a to find the maximum and minimum.
( − 2 , 6 )
The rate constant for first-order degradation of a N2O2 in a solution (1.0 mg/ml) at 40°C
is 0.00351 hr-1, activation energy is 2000 cal/mol, and R = 1.987 cal/mol/degree.
Calculate
a. The rate constant for first-order degradation of N2O2 at room temperature (25°C).
The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;
a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹
What is a first-order reaction?A first order reaction is one that has a rate that varies linearly with the concentration of one reactant
The given parameters are;
Temperature of the solution = 40°C
T₁ = 40 °C + 273.15 = 313.15 K
The rate constant, K₁ = 0.00351 hr⁻¹
Concentration of the solution = 1.0 mg/ml
Activation energy, Eₐ = 2000 Cal/mol
R = 1.987 cal/mol/degree
The formula by which the rate constant can be found is presented as follows;
\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)
a. Room temperature = 25 °C
T₂ = 25 °C + 273.15 = 298.15 K
Therefore;
\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)
\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)
The rate constant for first-order degradation of N₂O₂ at room temperature is k₂ ≈ 4.12595 × 10⁻² hr⁻¹Learn more about the rate constant for first-order degradation here:
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a ball has a diameter of 4 inches what is the volume
Answer:
268.08 cubic inches
Step-by-step explanation:
I'm sorry if this isn't helpful
Find the missing angle using trigonometry
Answer:
please look at detailed answers below
Step-by-step explanation:
example 1 is correct.
example 2:
x = (12 sin 15) / sin 75 = 3.22.
example 3:
x/sin 90 = 19/sin (180 - 90 -36)
x = (19 sin 90) / sin 54
= 23.5
example 4:
x/sin 53 = 7/sin (180 -90 - 53)
x = (7 sin 53)/ sin
= 9.29
Instantaneous velocity
P
QUESTION 9
Due to your severe pain,
the doctor tells the nurse to give you 625 mg of pain medicine every 6 hours. You also hear the nurse say that the
medication comes in 250 mg tablets. How many tablets should she give you every 6 hours?
Answer:
2 and a half
Step-by-step explanation:
250 times 2= 500
250 divided by 2=125
500 plus 125= 625
brainliest please
Gary weighed 187 pounds after graduating
high school. 5 years later he weighs 228
pounds. By what percentage has his weight
changed?
Plz helppppppp
eat chili snacks and spicy to burn fat
Find the area.
4 cm
8 cm
Answer:
16cm^2
Step-by-step explanation:
8*4=32
Because it is a triangle, divide by 2. So:
32/2=16cm^2
how do i find x from the equation x(x+6)=108
Answer:
x = -3 + √117
x = -3 - √117
Step-by-step explanation:
So the equation is x(x+6)=108
first you gotta simplify
x*x + x*6 = 108
x^2 + 6x = 108
x^2 + 6x - 108 = 0
using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a) with a=1, b=6 and c=-108
A pyramid with a volume of 36 cm^3 has a base with a length of 4 cm and a width of 3cm. What is the volume of h?
Answer:
9 = h
Step-by-step explanation:
The formula of finding the volume of a pyramid is:
V = l * w(h / 3)
We know that Volume is 36, base or Length is 4 and the Width is 3, therefore;
36 = 4 * 3 (h/3)
36 = 12 * h/3
36/12 = h/3
3 = h/3
3(3) = h
9 = h
Therefore the height or h of the pyramid is 9cm
Hope this helps!
Usain Bolt set the world record for sprinting 100 m in approximately 9 3/5 seconds. Find his average speed in meters per second.
Let's find the seconds as an improper fraction:
\(9\frac{3}{5}=9+\frac{3}{5}=\frac{9\times5}{5}+\frac{3}{5}=\frac{48}{5}=9.6\)He ran 100 meters in 48/5 seconds or 9.6 seconds. To find the speed in meters per second we have to divide the distance (in meters) by the time (in seconds):
\(\text{speed}=\frac{100m}{\frac{48}{5}s}=\frac{5\times100m}{48s}=\frac{125}{12}\approx10.41\bar{6}\)The average speed is 125/12 m/s (or 10.42 m/s, rounded to the nearest hundredth)
In mixed numbers the speed is 10 5/12 m/s
Find the slope and the y-intercept of the line. 6x + 3y = -3 Write your answers in simplest form
Answer:
[m] slope = -2
[b] y-intercept = -1 ; (0, -1)
[y = mx + b] slope-intercept = -2x – 1
Step-by-step explanation:
Given the algebraic equation 6x + 3y = -3 currently in standard form:
Ax + By = C →
By = C – Ax →
By = -Ax + C →
y = -Ax / B + C / B →
y = (-A / B)x + (C / B) →
y = mx + b →
m = -A / B. b = C / B.
6x + 3y = -3
↓ ↓ ↓
A = 6. B = 3. C = -3.
[Substitute]
m = -A / B. b = C / B
m = -(6) / (3). b = (-3) / (3)
↓ ↓
m = -2. b = -1.
↓. ↓
Slope = -2. y-intercept = -1.
_______________________
Slope is ∆y/∆x [change in y over the change in x] = y2 – y1 / x2 – x1.
The y-intercept is the point where x is 0.
The easiest way to determine this is to substitute 0 in for x in an equation and solve for y.
This means that the y intercept in coordinate form is (0, b).
What are the coordinates of the vertices of the image triangle after a 90 clockwise rotation about the origin? :
A'(1, 3) B'(-3, 4) C'(-2,-3)
A'(3, 1) B'(4,-3) C'(-3,-2)
A'(3,-1) B'(4, 3) C'(-3, 2)
A'(1,-3) B'(-3,-4) C'(-2, 3)
A'(-3, 1) B'(-4,-3) C'(3,-2)
Before carrying out rotation transformation, the coordinates of the vertices of the pre-image are;
A (3, -6)
B(1, 2)
C (7, -1).
What is the effect of clockwise rotation transformation?We are given the coordinates of the transformed image as:
A'(6, 3),
B'(–2, 1),
C'(1, 7).
We need to find the coordinates of the pre-image A, B and C.
The rule for rotation of 90° about the origin is (x,y) ---> (-y,x).
But we need to find the coordinates of the vertices of the pre-image.
So, we need to apply rule (-y,x) ---->(x,y).
Applying the 90 degrees clockwise rotation rule,
A'(6, 3) -----> A (3, -6)
B'(–2, 1) -----> B(1, 2)
C'(1,7) -----> C (7, -1).
Therefore, coordinates of the vertices of the pre-image are
A (3, -6)
B(1, 2)
C (7, -1).
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Complete question is;
After a rotation of 90° about the origin, the coordinates of the vertices of the image of a triangle are A'(6, 3), B'(–2, 1), and C'(1, 7). What are the coordinates of the vertices of the pre-image?
Tessellations
Determine whether the given figure tessellates the plane.
a. yes
b. no
Please select the best answer from the choices provided
Answer:
B. No
Step-by-step explanation:
I calculated it logically
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
please answer 25 points
The number of miles (m) between the two cities as represented in the equation given 2[(4m * 3.5) / 400] = 171.5 is 2450 miles
EquationsThe definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.
In the equation given;
2[(4m * 3.5) / 400] = 171.5
Using changing the subject of formula to find the miles travelled;
2[(4m * 3.5) / 400] = 171.5
28m / 400 = 171.5
28m = 400 * 171.5
28m = 68600
m = 68600 / 28
m = 2450
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3. Look at these digits and answer the questions:
7 4 9 1
a) What is the largest number that you can make with all four digits?
at is the largest even number that you can make with all four digits?
g all four digits, make the smallest number possible: 1
sing all four digits, make the smallest even number possible: Y
Check your answers with a partner.
When you know the value of the digits you can partition a number.
The largest four-digit number is 9741.
The largest even four-digit number is 9714.
The smallest four-digit number is 1479.
What are numbers?Numbers are representations of quantity or quality.
We have many types of numbers such as,
- Real numbers
- Rational numbers
- Irrational numbers
- Complex numbers
- Even numbers
- Odd numbers
- Whole numbers
We have,
Numbers = 7, 4, 9, 1
a)
We can make four-digit numbers such as,
9741, 9471, 9147, and more.
The largest four-digit we can have is,
= 9741
b)
We can make even four-digit numbers as,
= 9714, 7914, 1794
The largest even four-digit number.
= 9714
c)
The smallest four-digit number.
= 1479
Thus,
The largest four-digit we can have is 9741.
The largest even four-digit number is 9714.
The smallest four-digit number is 1479.
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The complete question:
Numbers = 7, 4, 9, 1
Find the largest, largest even and smallest four digit number.
Solve |x-5| > -2. Write your solution in interval notation.
Answer:
(−∞,∞)
Step-by-step explanation:
Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.
All real numbers
So, the answer is (−∞,∞)