Answer:
b, only b
y = -3 has zero slope.
Step-by-step explanation:
Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.
Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.
Only choice b has zero slope.
A role-playing game uses an 11-sided die that displays the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 What is the probability that someone throws the 11-sided die one time and rolls a number 9 or higher? Express your answer as a percentage rounded to one decimal place
Using it's concept, it is found that there is a 27.3% probability that someone throws the 11-sided die one time and rolls a number 9 or higher.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 11 numbers, 3 of which are 9 or higher, hence the probability is:
p = 3/11 = 0.273 = 27.3%.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?
f(x) = 3x5 – 2x4 – 9x3 + x2 – 12
f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x
f(x) = 12x5 – 2x4 + 9x3 – x2 + 3
f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48
Option A, The option that has the same potential roots according to the rational root theorem is 3x5 – 2x4 – 9x3 + x2 – 12.
How to solve for the rootsWe have p, this is the factors of the number 12.
The factors are ±(1, 2, 3, 4, 6, 12)
We have factors of q = 3
= ±(1, 3)
The rational roots are the roots that have the same factors that are contained in the question.
Hence the answer is A.
Read more on Rational root theorem here:
https://brainly.com/question/2072459
#SPJ1
Answer:
The Answer is A
Step-by-step explanation:
Did it on edge :)
Match each number on the left with the correct description of the number on the right.
Asphalt roofing shingles are typically sold by the square, with a square covering 100 square feet. A contractor must shingle a roof that measures 65.5'x 35'. How many squares will be required to cover this roof?
Question content area bottom
Part 1
A 23
B 26
C 33
D 25
Which equation could possibly represent the graphed function?
Answer: A
Step-by-step explanation:
The polynomial has roots at [tex]x=-4, -2, 4[/tex].
So, the equation should have factors of [tex](x+4), (x-2), (x-4)[/tex].
This eliminates everything except for A.
what is the general direction of centurion from bronkhorspruit?
Answer:
Brock or separate is located nearly Westside to centure in gives best direction from the central only
An advertiser claims that 74% of people stream their TV, 12% have cable, and the rest do not watch TV. A test is conducted to evaluate the claim and the conclusion is fail to reject
using alpha = 0.1. What is your interpretation of the test result?
Considering the hypothesis tested, the interpretation is that there is not enough evidence to conclude that the percentages are different at a significance level of 0.1.
What are the hypothesis tested?At the null hypothesis, we test if the percentages are as advertised.At the alternative hypothesis, we test if the percentages are different than advertised.We fail to reject the null hypothesis, hence the interpretation is that there is not enough evidence to conclude that the percentages are different at a significance level of 0.1.
More can be learned about hypothesis tests at https://brainly.com/question/15980493
#SPJ1
12 ft
8 ft
8 ft
Find the area of the kite
The area of the kite exists 48 sq. ft.
How to estimate the area of kite?The area of a kite exists half the outcome of the lengths of its diagonals. The formula to define the area of a kite exists:
Area = ½ × p × q.
Given that a kite contain diagonals of lengths 12 ft and 8 ft.
We know that the area of a kite having diagonals of length 'p' units and 'q' units exists
Area of kite = ½ (p × q)
Here, p = 12 ft and q = 8 ft.
Area of kite = ½ (p × q)
= (12 × 8)/2
= 96/2 = 48
Therefore, the area of the kite will be 48 sq. ft.
To learn more about area of the kite refer to:
https://brainly.com/question/9593985
#SPJ9
Rewrite as an exponential equation.
In 5 = y
The equation ln 5 = y as an exponential equation is [tex]e^y = 5[/tex]
How to rewrite the expression?The natural logarithm equation is given as:
ln 5 = y
Rewrite as:
ln(5) = y
Take the exponent of both sides
[tex]e^{ln(5)} = e^y[/tex]
Evaluate the expression
[tex]5 = e^y[/tex]
Rewrite as:
[tex]e^y = 5[/tex]
Hence, the equation ln 5 = y as an exponential equation is [tex]e^y = 5[/tex]
Read more about exponential equation at:
https://brainly.com/question/2456547
#SPJ1
Two ares are congruent if they have the same measure and ?
Two ares are congruent if they have the same measure and lengths
How to complete the statement?The statement is given as:
Two ares are congruent if they have the same measure and ?
The conditions for congruent shapes in geometry are;
Congruent angleCongruent lengthThis means that the angle and the length must be equal
Hence, the term that completes the blank is length
Read more about congruent shapes at:
https://brainly.com/question/12413243
#SPJ1
3. Your new job requires you to calculate the material
costs for manufactured goods. One of goods you
manufacture is a fabric sample in the shape of a circle.
Given the formula A = πr^2, find the
area (A) of the fabric sample whose radius (r) is
7.6 x 10^7 m. Round your answer to the nearest thousandth. (Use 3.14 for π)
A= _____________ m^2
The area of the circular manufactured good is given by:
[tex]A = 1.8146 \times 10^{16} \text{m}^2[/tex]
What is the area of a circle?The area of a circle of radius r is:
[tex]A = \pi r^2[/tex].
In this problem, the radius in meters is:
[tex]r = 7.6 \times 10^7[/tex]
Hence the area in m² is:
[tex]A = \pi (7.6 \times 10^7)^2 = 181.46 \times 10^{14} = 1.8146 \times 10^{16} \text{m}^2[/tex]
More can be learned about the area of a circle at https://brainly.com/question/17326298
#SPJ1
Mandy used the graph to write the equation of the line it represents. She took these steps. 1. y−intercept = (0, 2) 2. Slope = rise run = − 2 4 = − 1 2 3. Substituting values into y = mx + b y = x +
Based on the information given about the equation, y will be 0.5x + 2.
How to illustrate the equation?From the information given, it should be noted that the equation of the line it represents was given and the y intercept is = (0, 2).
The function to represent y will be:
y = mx + b
y = (1/2)x + 2
y = 0.5x + 2
In conclusion, y = 0.5x + 2.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
What is 20% of 50 apples
Answer:
10
Step-by-step explanation:
Answer:
10 apples
Step-by-step explanation:
20% of 50 = 10
10 apples
Sand will be placed under a circular pool with a diameter of 20 feet. The sand depth should be 2 inches. How many cubic feet of sand are needed?
you need 628 square feet of sand.
How many cubic feets of sand are needed?
Here we need to find the volume of the sand needed.
The volume filled with sand will be a cylinder of diameter of 20ft, and a height of 2 inches.
First, the radius is half of the diameter, then:
R = 20ft/2 =10ft
Remember that:
1ft= 12in
Then:
R = 10ft = 10*(12 in) = 120 in
And remember that the volume of a cylinder of radius R and height H is:
[tex]V = pi*R^2*H[/tex]
Where pi = 3.14
Then we have:
[tex]V = 3.14*(120 in)^2*2in = 90,432 in^2[/tex]
To get that in feets, we need to divide by 12 squared, then:
[tex]90,432 in^2 = 90,432ft^2/(12^2) = 628 ft^2[/tex]
So you need 628 square feet of sand.
If you want to learn more about volumes:
https://brainly.com/question/1972490
#SPJ1
Michelle asks her husband to build a pen for her chickens. Three of the sides will be built with mesh fencing, while the fourth side will back up to the east side of her house. She wants the enclosed area to be 400 square feet. The cost of the fence meshing will be $4.18 per foot and the pen will also need 4 corner posts costing $9.50 each. a. [6 pts] Let x be the length of the side of the chicken coop that backs up to the east side of the house. Write a function P(x), for the price of the materials for the pen in terms of x. Simplify your answer. b. [3 pts] Use your calculator to find the dimensions of the pen that costs the least. Set your window with: 0≤x≤80 and 10≤ y ≤400, and round your answer to 2 decimal places. (Insert your graph here. You may hand draw the graph or insert an image of the graph from Desmos) c. [1 pt] What is the total cost of the pen? Round to dollars and cents.
The function P(x), for the price of the materials for the pen is 4.18(800/x + x) + 38.
How to illustrate the function?Based on the information, the function P(x), for the price of the materials for the pen will be:
P(x) = 4.18 (2 × 400/x + x) + 38
= 4.18(800/x + x) + 38.
The dimensions will be:
We'll differentiate the function which will give 20✓2. Therefore, the value for x will be 20✓2 which is 28.28 feet and that of y will be 10✓2 which is 14.14 feet.
Learn more about functions on:
brainly.com/question/25638609
#SPJ1
The function h(t) = −5t2 + 15t shown in the graph models the supporting structure of a bridge:
graph of parabola starting at zero comma zero, rising from the left to about one and one half comma 11, and falling to the right, ending at 3 comma zero
What is the domain of h(t)?
All real numbers
0 ≤ x ≤ 11
0 ≤ x ≤ 3
x ≥ 0
Since the function is h(t) = −5t² + 15t, the domain of the function h(t) is 0 ≤ t ≤ 3
What is the domain of a function?The domain of a function is the range of input values that make the function have real values.
Now given the function h(t) = −5t² + 15t, it will have real values when
h(t) ≥ 0
So, h(t) ≥ 0
⇒ −5t² + 15t ≥ 0
Factorizing, we have
-5t(t - 3) ≥ 0
5t(t - 3) ≤ 0
t(t - 3) ≤ 0
t ≤ 0 and t - 3 ≤ 0
t ≤ 0 and t ≤ 3
For t ≤ 0, say -1, t(t - 3) = -1(-1 - 3) = -1(-4) = 4 ≥ 0
For 0 ≤ t ≤ 3, say 2, t(t - 3) = 2(2 - 3) = 2(-1) = -2 ≤ 0
For t ≥ 3, say 4, t(t - 3) = 4(4 - 3) = 4(1) = 4 ≥ 0
Since we require t(t - 3) ≤ 0, the domain of t is thus 0 ≤ t ≤ 3
So, the domain of the function h(t) is 0 ≤ t ≤ 3
Learn more about domain of a function here:
https://brainly.com/question/204418
#SPJ1
Find a polynomial function of degree 7 with -1 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, and 1 as a zero
of multiplicity 1.
The polynomial function is P(x) = x^3(x + 1)^3(x -1)
How to determine the polynomial function?The zeros of the polynomial and the multiplicities are given as:
-1 as a zero of multiplicity 3, 0 as a zero of multiplicity 3, 1 as a zero of multiplicity 1The degree is given as
Degree = 7
The polynomial is represented as:
P(x) = (x - zero)^multiplicity
Using the above format, we have
P(x) = (x + 1)^3(x - 0)^3(x -1)
This gives
P(x) = x^3(x + 1)^3(x -1)
Hence, the polynomial function is P(x) = x^3(x + 1)^3(x -1)
Read more about polynomial function at
https://brainly.com/question/2833285
#SPJ1
Please answer fast!
Ted practices two types of swimming styles for a total of 50 minutes every day. He practices the breaststroke for 20 minutes longer than he practices the butterfly stroke.
Write a pair of linear equations to show the relationship between the number of minutes Ted practices the butterfly stroke every day (x) and the number of minutes he practices the breaststroke every day (y). (5 points)
Answer:
x = 15 & y = 35
Step-by-step explanation:
[tex]y = x + 20[/tex]
[tex]x + y = 50 \\ x + (x + 20) = 50 \\ 2x + 20 = 50 \\ 2x = 50 - 20 \\ 2x = 30 \\ x = \frac{30}{2} = 15[/tex]
[tex]y = x + 20 = (15) + 20 = 35[/tex]
PLEASE NEED HELP
A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has an approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces. Boxes are often weighed before shipping, and any box with a weight of at most 27.5 ounces is considered underweight and is rejected for distribution. What percentage of filled boxes of rice are rejected for distribution?
Find the z-table here.
4.0%
24.2%
75.8%
96.0%
Answer:
D) 96%
Step-by-step explanation:
If you take 96% of 28.6 you get 27.6 so it fits
In what statistical measurement would you be most interested when considering housing prices in a particular city?
Answer:
Median
Explanation:
Real estate prices are virtually usually biased to the right. If we estimate the price of a typical home in a city at $500,000. We would have no trouble locating properties for $2 million and $3 million, and perhaps even some $5 or $6 million residences. However, you won't find houses for under $1.5 million. Because of this, the mean value is pulled toward the high end more than the median value.
The figure shows two parallel lines PQ and ST cut by the transversals PT and QS:
Answer:
triangle PQR is similar to triangle TSR because the measure of angle 3 is congruent to the measure of angle 4 and the measure of angle one is congruent to the measure of angle 5
Step-by-step explanation:
angle 3 and angle 4 are congruent because they are vertical pairs.
Angles 1 and five are congruent because they are alternate interior angles
write the whole number as an equivalent fraction with the given denominator.
3= 4
Answer: 12/4
Step-by-step explanation: whole number = 3. given denominator = 4. 4/4 = 1. 1 times 3 = 3. 4 plus 4 plus 4 = 12. therefore answer is 12/4
I’m confused on c and d please help me
Answer:
C is 27 and d is 16
Step-by-step explanation:
count how many cubes are on the first level and multiple but how many it goes up too
Lesson Review
Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Factorization implies the obtaining of the common factors in an expression.
What is factorization?The term factorization implies the obtaining of the common factors in an expression.
The factors of the expressions are as follows;
1) (x−1)(x+7)
2) (x−2)(x−3)
3) (x+1)(x−7)
4) (x−1)(x+6)
5) (x−3)(x+4)
6) (x+2)(x−4)
7) (x+1)(x−5)
8) (x−1)(x+3)
9) (x+4)(x−4)
10) (x+3)(x−4)
11) (x−3)(x−6)
12) (x+2)(x−7)
13) (x−2)(x−5)
14) (x−3)(x−8)
15) (x+5)(x−6)
Learn more about factorization:https://brainly.com/question/11994062
#SPJ1
How do u solve for X?
Answer:
x = 70
Step-by-step explanation:
x and 2x - 30 are supplementary angles , sum to 180° , then
x + 2x - 30 = 180 ( add 30 to both sides )
3x = 210 ( divide both sides by 3 )
x = 70
Answer:
2x - 30 and x degrees should add up to 180 degrees
2x - 30 + x = 180
3x = 210
x = 70 degrees
The correct answer would be D
We know for a fact that the equation:
[tex]|z+z'| \leqslant |z|+|z'|[/tex]
holds for any 2 complex numbers
I came up with the conclusion that:
[tex]|z+z'|=|z|+|z'|[/tex]only holds when z and z' are pure imaginary or pure real numbers of the SAME sign.
How can i prove this algebraically/geometrically?
Note: Irrelevant answers will be reported
They don't need to be pure real or imaginary. Any "mixed" complex number works so long as [tex]z=z'[/tex].
Let [tex]z=z'=a+bi[/tex]. Then
[tex]|z+z'| = |2a+2bi| = 2 \sqrt{a^2+b^2}[/tex]
[tex]|z| + |z'| = 2|a+bi| = 2 \sqrt{a^2+b^2}[/tex]
so [tex]|z+z'|=|z|+|z'|[/tex].
The geometric interpretation is essentially identical. [tex]|z+z'|=2|z|[/tex] is a complex number twice the distance away from the origin in the complex plane as [tex]z[/tex], which is exactly [tex]|z|+|z|[/tex].
Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.
What is the value of y?
3 StartRoot 3 EndRoot units
6 StartRoot 3 EndRoot units
9 StartRoot 3 EndRoot units
12 StartRoot 3 EndRoot units
The value of y in the triangle is B. 6✓3.
How to calculate the value?From the information given,
NU = 9
UM = 3
MN = 3 + 9 = 12
NT² = 9 × 12 = 108
NT = ✓108
NT = 6✓3
Therefore, y is 6✓3.
The value of y in the triangle is 6✓3.
Learn more about triangles on:
brainly.com/question/14925821
#SPJ1
Answer:
B
Step-by-step explanation:
Ivy is running errands for her mother. She bikes along straight paths to the supermarket, the bank, and then back home.Find the distance between Ivy's house and the supermarket and the distance between the supermarket and the bank. Each distance is rounded to the nearest meter.
The distance between Ivy's house and the supermarket and the distance between the supermarket and the bank:
H&S = 1,014 M; and S&B = 854m. This is resolved using the Sine Theorem.
Notice that the Angles of a Triangle add up to 180° That is
∠A + ∠B + ∠C = 180°
Thus,
∠C = 180° - 32° - 109°
= 39°
Recall the Sine Theorem which indicates;
a/SinA = b/SinB = c/SinC
thus given that
AC = 1,523m
We have
AC/SinB = BC/SinA
BC = AC/SinB * SinA
= 1523/Sin109° * Sin32°
BC =854m
Therefore
AC/SinB = AB/SinC
Thus,
AB = AC/SinB * SinC
= 1523/Sin109° * Sin39°
AB ≈ 1,014m
Learn more about the Sine Theorem at;
https://brainly.com/question/27174058
#SPJ1
Joanne knitted a blanket that measures 174 cm by 230. Her sister asked joanne to make a matching one for her son. If joanne wants to make a similar blanket using a scale factor of 0.55, what will it,s dimensions be.
Answer:
95.7 cm by 126.5 cm
Step-by-step explanation:
To use the scale factor of 0.55, we multiply 174 and 230 by 0.55: 174*0.55 = 95.7, 230*0.55 = 126.5
Craig decides to purchase a property that has been valued at $475,000. He has $80,000 available as a deposit and will require a mortgage for the remaining amount. The bank offers him a 25 year mortgage at 2% interest. Calculate the total interest he will pay over the life of the loan, assuming he makes monthly payments. Give your answer in dollars to the nearest ten dollars. Do not include commas or the dollar sign in your answer.
THE REAL ANSWER IS $107, 270
First, we note that Craig requires a mortgage on $475,000−$80,000=$395,000. To calculate the monthly repayments we must apply the formula for P0 and solve for d, that is,
P0=d(1−(1+rk)−Nk)(rk).
We have P0=$395,000,r=0.02,k=12,N=25, so substituting in the numbers into the formula gives
$395,000=d(1−(1+0.0212)−25⋅12)(0.0212),
that is,
$395,000=235.9301d⟹d=$1,674.22.
Therefore the total interest payable is
I=$1,674.22×25×12−$395,000=$107,266
which is $107,270 to the nearest $1
The total interest is $107,270
What is monthly payment formula?
The formula for monthly payment is:
[tex]M = \frac{P(\frac{r}{12})( 1+\frac{r}{12})}{( 1+\frac{r}{12})^n-1}[/tex]
We can find total interest as shown below:
Value of property = $475,000
Money available as a deposit = $80,000
P = 475,000-80,000
= 395000
t = 25 year
r = 2% = 0.02
n = 25*12 = 300
[tex]M = \frac{P(\frac{r}{12})( 1+\frac{r}{12})}{( 1+\frac{r}{12})^n-1}[/tex]
Putting the value of P, t, r, and n in the above formula
[tex]=\frac{395000(\frac{0.02}{12} )(1+\frac{0.02}{12}) }{(1+\frac{0.02}{12})^{300}-1}[/tex]
after solving the above expression
M = $1674.22
Interest = M*n-P
Putting the value of P, n and M
= 1674.22*300-395000
= 502266-395000
= 107,266
Rounding to nearest ten dollar
= $107,270
Hence, the total interest is $107,270.
Learn more about Mortgage here:
https://brainly.com/question/24188673
#SPJ1
Answer:
Step-by-step explanation: