Answer:
B and C
Step-by-step explanation:
because AC is shorter than DF
because AB is different to DE
m+4= -12
Please answer I really need help!! Solve each equation. Put your answer in the form of m=__
Answer:
-16
Step-by-step explanation:
If y9u do 16-4=4 and then you just take the sign of the bigger number which is -16
Answer:
its probly 16
Step-by-step explanation:
The graphed line shown below is y = 3 x minus 1. On a coordinate plane, a line goes through (0, negative 1) and (1, 2). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y + 1 = 3 x y = negative 3 x + 1 y = 3 x + 1 y minus 3 x = negative 3
Answer:
y + 1 = 3x
Step-by-step explanation:
In order for there to be an infinite number of solutions, the two lines need to be the same.
y+1 = 3x
y=3x-1 are both the same
Answer:
a)y + 1 = 3x
Step-by-step explanation:
Which pair of complex factors results in a real-number product? 15(–15i) 3i(1-3i) (8 + 20i)(–8 – 20i) (4+7i)(4-7i)
Answer:
(4 + 7i)(4 - 7i)
Step-by-step explanation:
Factors of the form of a conjugate pair always produce a real number
(a + bi)(a - bi) ← produce a real number product ( a and b are real ), that is
(a + bi)(a - bi) ← expand using FOIL
= a² - bi² ( i² = - 1)
= a² + b² ← a real number
Thus
(4 + 7i)(4 - 7i)
= 16 - 49i²
= 16 + 49 = 65
Answer:
the correct answer is the last one, (4+7i)(4-7i)
Step-by-step explanation:
Please help me with this question :)
Answer:
Plot \(3\) and \(-3\)
Step-by-step explanation:
Given:
\(|2n| = 6\)
Solving for the positive part of the equation:
\(2n = 6 \\ \frac{2n}{2} = \frac{6}{2} \\ n = 3\)
Solving for the negative part of the equation:
\(-2n = 6 \\ \frac{-2n}{-2n} = \frac{6}{-2} \\ n = -3\)
Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.
a. Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
b. Hence x is rational.
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
d. Observe that x is the quotient of two integers with the denominator nonzero.
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
Answer for brainlest!!!!
Answer:
Step-by-step explanation:
angle 2 and angle 7 are alternate exterior angles.so they are always equal.
angle 2=angle 7
Billy invests $5,000 in an account at 4.2% for 15 years, compounded monthly. Assuming no other deposits or withdrawals are made, how much will Billy have at the end of 15 years?
The amount Billy has at the end of the 15 years is $9,377.73.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P\((1 + r/n)^{nt}\)
P = principal
r = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $5000
r = 4.2%
t = 15 years
n = 12
A = P\((1 + r/n)^{nt}\)
A = 5000 \((1 + 0.0035)^{180}\)
A = 5000 x \(1.0035^{180}\)
A = $9,377.73
Thus,
Billy has $9,377.73 at the end of the 15 years.
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Find the area of this shape
Answer:
44 ft²
Step-by-step explanation:
2ft + 2ft = 4ft
13ft + 9ft = 22ft
22 · 4 = 88
88 ÷ 2 = 44
An international anime fan club surveyed 200 of its members regarding their viewing
habits over the long weekend: 120 watched Psycho-Pass, 90 watched Demon Slayer, 70 watched
My Hero Academia, 40 watched Psycho-Pass and Demon Slayer, 50 watched Psycho-Pass and
My Hero Academia, and 20 watched something else entirely.
a.
How many of the club members watched exactly one show?
b. What percentage of members watched all three anime?
One find the surface area of the rectangular prism
Two find the surface area of the rectangular pyramid
Three find the surface area of the cube
The surface areas are 110 in², 87.6 mm² and 49 m².
Given that are solid figure, we need to find the surface area of them,
1) Triangular prism = perimeter × length + 2 × base area
= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²
2) Triangular pyramid = base area + perimeter × slant height / 2
= 1/2 × 5.2 × 6 + 3 × 6 × 8/2
= 87.6 mm²
3) Cube = 4side²
= 4 × (3 1/2)²
= 4 × 3.5²
= 49 m²
Hence the surface areas are 110 in², 87.6 mm² and 49 m².
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Which expression has the same meaning as r^9/5
Answer: 1/5r^9
Step-by-step explanation:
What is an equation of the line that passes through the point (−2,−3) and is perpendicular to the line x+3y=24?
Answer:
y=3x+3
I hope this helped you
is 7.69669669 a rational number
Answer:
yes it is
Step-by-step explanation:
hope this helps✨
According to data obtained from the National Weather Service 187 of the 368 people killed by lightning were men. Assume that this trend holds for the future. What is the probability that a person killed by lightning is a woman
Answer:
0.4919
Step-by-step explanation:
From the given data:
187 of the 368 people killed by lightning were men.
i.e
Number of men = 187
Total number of people killed = 368
The objective is to determine the probability that the person killed by lightning is a woman.
The number of women = 368 - 187
The number of women = 181
The probability that the person killed by lightning is a woman = 181/368
= 0.4919
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 15 15 in. How can you find the radius if you know the diameter of the sphere? Find the volume of the bowl. Use 3.14 for pi π.
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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If justin has 90 tacos and loses 15 how many does he have
Answer:75
Step-by-step explanation:
90-15=75
Answer:
He has 75 tacos left.
90 - 15 = 75.
f(x)=4x^2-7x-15 how do i factor it and find the x-intercepts? Also please describe the end behavior of the graph of f(x) and the steps you would use to graph. Pleaseee im really lost
Given:
The function is
\(f(x)=4x^2-7x-15\)Required:
Find the x-intercepts and describe the end behavior of the graph of f(x).
Explanation:
The given function is:
\(f(x)=4x^{2}-7x-15\)To find the x-intercepts put f(x)=0
\(4x^2-7x-15=0\)This is a quadratic equation solved by using the middle term splitting method.
\(\begin{gathered} 4x^2-12x+5x-15=0 \\ 4x(x-3)+5(x-3)=0 \\ (x-3)(4x+5)=0 \end{gathered}\)\(\begin{gathered} x-3=0 \\ x=3 \end{gathered}\)\(\begin{gathered} 4x+5=0 \\ x=-\frac{5}{4} \\ x=-1.25 \end{gathered}\)Thus the x-intercept are: -1.25 and 3.
Compare the given equation with the standard equation
\(y=ax^2+bx+c\)\(a=4,b=-7,c=-15\)The vertex is (h,k).
\(\begin{gathered} h=-\frac{b}{2a} \\ h=-\frac{-7}{2\times4} \\ h=\frac{7}{8} \\ h\approx0.9 \end{gathered}\)\(\begin{gathered} k=f(h) \\ k=f(0.9) \\ k=4(0.9)^2-7(0.9)-15 \\ k=3.24-6.3-15 \\ k\approx-18.1 \end{gathered}\)Thus the vertex of the parabola is:
\((0.9,-18.1)\)We will plot the points of the vertex and the x-intercepts and then draw the graph of the parabola as:
Here the leading coefficient a = 4>0
So the parabola opens upwards.
In the given function the degree is 2 which is even so as
\(\begin{gathered} x\rightarrow\infty,\text{ f\lparen X\rparen}\rightarrow\infty \\ x\operatorname{\rightarrow}\times-\infty,\text{f}\operatorname{\lparen}\text{X}\operatorname{\rparen}\operatorname{\rightarrow}\infty \end{gathered}\)Final Answer:
As explained in the explanation part.
Can you plz help me plz
Answer:
yes
Step-by-step explanation:
it goes by 4s, so number cases times 4
Given the expression 1/4 - 3/5, select the addition problem that is equivalent to it.
Given that,
An expression \(\dfrac{1}{4}-\dfrac{3}{5}\)
To find,
The value of above expression.
Solution,
We have,
\(\dfrac{1}{4}-\dfrac{3}{5}\)
The LCM of 4 and 5 is 20.
\(\dfrac{1}{4}-\dfrac{3}{5}=\dfrac{(5)-4(3)}{20}\\\\=\dfrac{5-12}{20}\\\\=\dfrac{-7}{20}\)
So, the required answer is \(\dfrac{-7}{20}\).
The table below gives a record of variations of the values of y with the values of x. Draw a scatter plot for the data.
Answer:
can you please show the table as it is not here
The price of an item yesterday was $40. Today, the price fell to $22. Find the percentage decrease.
Answer:
45%
Step-by-step explanation:
40 * .45 = 18
40-18 = 22
The percentage decrease of an item would be 45%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We can determine the value of the percentage decrease by the following formula,
percentage decrease = (initial value - reduced value) / initial value × 100%
As per the given question, we have
initial value = $40, and reduced value = $22
Substitute the values in the above formula, and we get
percentage decrease = (40 - 22) / 40 × 100%
percentage decrease = (18) / 40 × 100%
percentage decrease = 0.45 × 100%
Apply the multiplication operation, and we get
percentage decrease = 45%
Thus, the percentage decrease of an item would be 45%.
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If 5/8 of the people in a water aerobics class are over age 65 and 1/4 of the people in the class are under age 40, what fraction of the people in the class are either over 65 or under 40?
Answer:
7/8
Step-by-step explanation:
You just need to add the two fractions together. Since no one can be both, no other revision is needed.
5/8 + 1/4 = 5/8 + 2/8 = 7/8
Which figure result when you slice it parallel to the base?
If you slice a cylinder parallel to the base, we are going to get another cylinder but less high, like this:
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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The mean length of 6 rods is 44.2 cm. The mean length of 5 of them
is 46 cm. How long is the sixth rod?
===============================================
Work Shown:
x = sum of all 6 lengths
x/6 = mean of the 6 lengths
x/6 = 44.2
x = 6*44.2
x = 265.2
All 6 lengths add up to 265.2 cm.
---------
y = sum of the first 5 lengths
y/5 = mean of those first 5 lengths
y/5 = 46
y = 5*46
y = 230
The first five lengths add up to 230 cm.
---------
z = length of the 6th rod, length is in cm
y+z = (length of first 5 rods)+(length of 6th rod)
y+z = x
230+z = 265.2
z = 265.2-230
z = 35.2
The sixth rod is 35.2 cm
You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?
You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.
To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).
According to the given information, the total interest earned from both investments is $130. So we can set up the equation:
0.03x + 0.04($4000 - x) = $130
Simplifying the equation:
0.03x + 0.04($4000 - x) = $130
0.03x + $160 - 0.04x = $130
-0.01x = $130 - $160
-0.01x = -$30
x = -$30 / -0.01
x = $3000
Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
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A distribution is negatively skewed. Which is the most probable order for the three measures of central tendency
Options :
a mean - 40, median - 50, mode - 60
b. mean-60, median - 50, mode - 40
c. mean - 40, median-60, mode - 50
d. mean - 50, median - 50, mode - 50
Answer: mean - 40, median - 50, mode - 60
Step-by-step explanation: A negatively skewed distribution is characterized by it long tail being positioned to the left(negative direction) with its peak positioned to the right (positive direction) of the distribution. On a general note, the mean is always positioned towards the left or negative side if the peak, with the median coming next and usually positioned to the right of the mean and the mode positioned to the right side of the median.
Hence, for a negatively skewed distribution, the mean has the least value followed by the median, with the mode boasting the highest.
That is : mean < median < mode
U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above
Answer:
34
Step-by-step explanation:
40 questions times 0.85 equals 34