SOLUTION:
We would use similar triangle relations to solve this;
We have the triangles set up , thus;
\(\begin{gathered} \frac{x}{6}=\frac{7.5}{9} \\ x=5\text{ ft} \end{gathered}\)Therefore, her friend is 5 feet tall.
What are the domain and the range of this function?
Answer:
-5 ≤ x ≤ 1 (domain)
-7 ≤ x ≤ -4 (range)
Step-by-step explanation: Domain is x values and range is y.
Solve the system by substitution.
9x + 3y = -30
– 5x = y
Answer:
x= -1/3
y= -2
Step-by-step explanation:
got it right on my quiz
The solution to the system of equations is (x, y) = (5, -25) which is determined by the substitution method.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The system of equations is given, as follows
9x + 3y = -30 ....(i)
– 5x = y ....(ii)
To solve the system of equations by substitution, we can use the second equation to substitute for y in the first equation.
First, we'll solve the second equation for y:
y = -5x
Now we'll substitute that value for y in the first equation:
9x + 3(-5x) = -30
9x - 15x = -30
-6x = -30
x = 5
Now we can substitute that value for x back into the second equation to find y:
y = -5(5)
y = -25
So the solution to the system of equations is (x, y) = (5, -25).
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if y is 20 when x is 5 find x when y is 60
Answer:
15
Step-by-step explanation:
If y is 20 when x is 5 then x is always 1/4 of y
60*(1/4)=15
what is the difference between AD and BC
Answer:
AD means after death and BC means before christ
PLS HELP ME WITH THIS Find the ratio of squares to total shapes in the diagram below. 40 POINTS!
it literally says just count them all lol just like this we see there are 9 squares correct? and there are 12 circles so the ratio is 9:12 put 9 in the first box and 12 in the next just ask me if you need more help
A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
Answer:
4.2
Step-by-step explanation:
the kilometro is 5 and race is 21. 5÷21=4.2
expand and simplify (x+5)(x-1)
The expanded and simplified form of the expression (x + 5)(x - 1) is x² - x + 5x - 5.
What is the expanded form of the expression?Given the expression in the question;
(x + 5)(x - 1)
To expand and simplify the expression (x+5)(x-1),
we use the distributive property:
(x + 5)(x - 1)
x(x - 1) + 5(x - 1)
Now we can simplify each term by using the distributive property again:
x(x - 1) = x² - x
5(x - 1) = 5x - 5
Putting these terms back together, we have:
(x+5)(x-1) = x² - x + 5x - 5
Combining like terms, we get:
(x+5)(x-1) = x² + 4x - 5
Therefore, (x+5)(x-1) simplifies to the quadratic expression x² + 4x - 5.
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Suppose f(x)=x8(3−2x3).
(a) The roots of f(x) are x= ?
(b) As x→∞, f(x)→ ?
(b) As x→−∞, f(x)→ ?
For the given function f(x) = x⁸(3-2x³) then
a. The roots of the function f(x) are x= 0 or ∛3/2.
b. When x →∞ then f(x) →∞
c. And x→-∞ then f(x) →-∞.
As given in the question,
Given function is equal to :
f(x) = x⁸(3-2x³)
a. Simplify the given function f(x) = x⁸(3-2x³) to get the roots of the f(x) we get,
f(x) =0
x⁸(3-2x³) = 0
⇒ x =0 or 3 -2x³ =0
⇒ x=0 or x = ∛3/2
b. When x → ∞
⇒x⁸ →∞ and (3-2x³) → ∞
⇒ x⁸(3-2x³) → ∞
When x →∞ then f(x) →∞
c. When x → -∞
⇒x⁸ →∞ and (3-2x³) →- ∞
⇒ x⁸(3-2x³) →- ∞
When x →-∞ then f(x) →-∞
Therefore, for the given function f(x) = x⁸(3-2x³) then
a. The roots of the function f(x) are x= 0 or ∛3/2.
b. When x →∞ then f(x) →∞
c. And x→-∞ then f(x) →-∞.
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Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2
The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.
To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:
Step 1: Find the mean (average) of the data set.
Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5
Step 2: Calculate the difference between each data point and the mean.
Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|
Step 3: Calculate the absolute value of each difference.
Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10
Step 4: Find the average of the absolute differences.
MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20
The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.
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Someone please help!
Mathpapa
Step-by-step explanation:
The link above should give you the answer. If the link that you click on does not work, then you can look up mathpapa on your computer and type this math equation in. I am terrible at math, but I figured I could give you my mathematical calculator. I hope that helps you!
Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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-3q – 19 = 19 – 5q
q=
Answer: - 19
Step-by-step explanation:
Answer:
-19 is the answer
Step-by-step explanation:
Determine the value of the missing sides for the following triangle
Answer:
There is no picture or diagram so add them and i can edit this answer, look at paperclip sign first take picture screen shot then add pic on paperclip edit button here.
Step-by-step explanation:
For missing sides of a triangle we do the following.
Does it have a right Angle determine other angle measures, say if an external angle on a straight line showed 145 then its adjoing interior would be 180-145=35 degree.
Are the measure of the lengths congruent with a larger or smaller triangle shown.
If yes then if one triangle showed 4 and same triangle showed 6 and had ne missing, then the other had 8 and 10 and had one missing we would compare and if 8 was the same as 4 we would recognise the congruent triangle is x2 (scale factor 2) so measure 6 woyuld also be measure 12 for the other triangle. and then to find the smaller missing side we see 10 is left over and 10/2 = 5
Other ways to find length is through Pythagoras we use the squares a^2 + b^2 = c^2 for missing slant
and c^2 - b^2 = a^2 for any missing side
so a represents any missing side for the second equation and c represents the missing side if it is a slant only.
Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?
Answer:
2:12
Step-by-step explanation:
The ratio of cups of sugar to cupcakes is equivalent to 1:6.
Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.
What is the ratio?The ratio is the comparison of two quantities. It is generally represented by a fraction.
2 cups of sugar: 12 cupcakes = 2:12
2:12 = 2/12 =1/6 =1:6
So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
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which equation represents the slope intercept form of the line when the y intercept is (0,-6) and the slope is -5
The values into the slope-intercept form, we have y = -5x - 6
The slope-intercept form of a linear equation is given by:
y = mx + b
where 'm' represents the slope of the line, and 'b' represents the y-intercept.
In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).
The slope is given as -5.
Therefore, substituting the values into the slope-intercept form, we have:
y = -5x - 6
This equation represents the line with a y-intercept of (0, -6) and a slope of -5.
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What measurement is equivalent to 1 2 3 1 2 3 yards?
Pls help me solve part a and part b
At 1 p.m., the temperature was -3 degrees Celsius (°C). If the temperature rises 1ºC per hour, what will be the temperature at 6 p.m.?
Answer:
6pm- 2 degrees celsius
Step-by-step explanation:
by 1pm its -3 right? so basically just add up so 2pm -2 3pm -1 4pm 0 5pm 1 and 6pm 2
while exploring a volcano zane heard somerumbling, so he decided to climb up out of there as quicklyas he could zane's elevation relative to the edge of the inside of the volcano (in meter) as a function time (in seconds) is graphed. PLEASE HELP ME WITH THIS How long did it take Zane to reach the edge of the volcano?
We have to find the time it took for Zane to be in the same elevation as the edge of the Volcano, that is, when his relative elevation is 0 on the graphic.
This happens at a time of 35 seconds. So:
It took Zane 35 seconds to reach the edge of the volcano.
PLEASE IM BEGGING HELP PLEASE!!!!!
Answer:
C
Step-by-step explanation:
Solve for x:
8x - 3 = 5(2x + 1)
A. X=-4
B. x= -2
OC. x=1
D. x = 9
Help quick!!
Answer:
A. X= -4
Step-by-step explanation:
8x-3=5(2x+1)
8x-3=10×+5
-3=2×+5
-8=2x
x=-4
Answer:
A: x=-4
Step-by-step explanation:
8x - 3 = 5(2x + 1)
8x - 3 = 10x + 5
-3 = 2x + 5
-8 = 2x
x = -4
Reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis. Find the coordinates of the new image.
A) C(-1,2) --> C' (-1,-2)
B) B(3,6) --> B' (3,-6)
C) A(1,2) --> A' (1,-2)
D) D(-2,-2)--> D' (-2,2)
Answer:
1,2 = 1,negative2
3,6 = 3,negative 6
-1,2 = negative 1, negative 2
-2,-2 = negative2, 2
Step-by-step explanation:
Sorry all i could do was reflect the coordinates across the x-axis.
The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
What is reflection along the x-axis?When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).
Think of holding the x-axis with two fingers and rotating it.
Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis.
∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).
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63,21,7 write an explicit formula
Answer:
7×3³-n
Step-by-step explanation:
This is a geometric sequence
Use nth term of geometric sequence formula

Ratio is 27/63=1/3
First term is 63

Simplify expression

for each problem, identify the variables, write the equations, and solve
Let the 4-passenger cars be represented with F
Let the 6-passenger cars be represented with S
Rocket Coaster has 15 cars
So that F + S = 15 ----- Equation 1
Also, we were told that the total room for 72 passenger
so that 4F + 6S = 72 ----- Equation 2
Solving the two equations simultaneously using the substitution method,
Step 1
From equation 1:
Make F the subject of the formula
F = 15 - S ---- Equation 3
Step 2
substitute equation 3 into equation 2
4 (15 - S) + 6S = 72
Step 3
60 - 4S + 6S = 72
6S - 4S = 72 - 60
2S = 12
divide both sides by 2
S = 12/ 2
S= 6
Step 4
Substitute the value of S = 6 into equation 3
F = 15 - 6
F = 9
So the number of 4-passenger cars = 9
the number of 6-passenger cars = 6
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
um i have to write here to send the question so here k bye
Answer:
142
38
Step-by-step explanation:
Which rectangle has an area of 18 square units? On a coordinate plane, a rectangle is 2 units high and 7 units wide. On a coordinate plane, a rectangle is 2 units high and 6 units wide. On a coordinate plane, a rectangle is 3 units high and 5 units wide. On a coordinate plane, a rectangle is 3 units high and 6 units wide.
Answer:
On a coordinate plane, a rectangle is 3 units high and 6 units wide.
Answer:
option "B"
You Welcome
Step-by-step explanation:
Camille takes a rock-climbing
class. On her first outing,
she rappels down the side
of a boulder in three
equal descents. What
integer represent
Camille's change in
altitude in feet each
time she descends?
Elevation 165
Answer:
Step-by-step explanation:
165/3=55 feet
An integer that represents Camille's change in altitude in feet each time she descends = 55
What is rate of change?"It is the ratio of the amount of change over that interval to the corresponding change in the values."
For given example,
elevation = 165
she rappels down the side of a boulder in three equal descents.
n = 3
So, change in altitude in feet each time she descends would be,
165/3 = 55
Therefore, the integer that represents Camille's change in altitude in feet each time she descends = 55
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A dart is dropped above the target shown in the diagram. The dart has an equal chance of landing on any spot on the target.
What is the probability the dart will land in the shaded square on the target? Round to the nearest hundredth. Enter the answer in the box.
Answer: 0.04
Step-by-step explanation:
The area \(A_1\) of the square target with side length \(s_1=20 cm\) is:
\(A_1=s_1^{2}=20^{2}=400\)
The area \(A_2\) of the shaded square with side length \(s_2=4cm\) is:
\(A_2=s_2^{2}=4^{2}=16\)
So, the probability that the dart will land in the shaded square on the target is:
\(\frac{A_{2}}{A_{1}}=\frac{16}{400}=0.04\)
Which equation is equivalent to this equation and written with the same base?
4x+1=16x−1
Answer:
\( 2^{2x + 2} = 2^{4x - 4} \)
Step-by-step explanation:
\( 4^{x + 1} = 16^{x - 1} \)
\( 2^{2(x + 1)} = 2^{4(x - 1)} \)
\( 2^{2x + 2} = 2^{4x - 4} \)