Answer:
It should be undefined
Step-by-step explanation:
Its negative and a negative multiplied by a negative is positive, and a positive multiplied by a positive is a positive. This means that the answer is undefined.
Choices are...
A)1120
B)2275
C)3500
D)2345
It's Side Splitter Theorem
Answer:
B
Step-by-step explanation:
The sections of the parallel roads split by the transversals are in proportion, that is
\(\frac{350}{300}\) = \(\frac{first}{1650}\) ( cross- multiply )
300 first = 577500 ( divide both sides by 300 )
first = 1925 ft
Thus
Elm st → Maple st = 1925 + 350 = 2275 ft → B
PLEASE HELP ASAP
A rectangular pyramid with a height of 13 cm and a base 7 cm by 5 cm has a volume of ….
Show your work
a) 455 cm
b) 48 cm
c) 152 cm
d) 360 cm
Answer:
A, 152 cm.
Step-by-step explanation:
A rectangular pyramid has a volume equation of
V = (lwh)/3.
Therefore, when we plug the values in:
[(7)(5)(13)]/3 = V
V = 455/3
V = 151.666667
V is approximately equal to 152 cm^3.
I hope this helped! :)
¾ (x - 13) = -2 (9 + x)
1) The way to tackle this expression is to apply the Distributive Property, a.k.a by the acronym FOIL
2) So, we can write down the following development:
\(\begin{gathered} \frac{3}{4}(x-13)=-2(9+x) \\ \frac{3}{4}x-\frac{39}{4}=-18-2x \\ \frac{3}{4}x+2x=-18+\frac{39}{4} \\ \frac{3}{4}x+\frac{8}{4}x=-\frac{72}{4}+\frac{39}{4} \\ \frac{11}{4}x=-\frac{33}{4} \\ 4\times\frac{11}{4}x=-\frac{33}{4}\times4 \\ 11x=-33 \\ \frac{11x}{11}=-\frac{33}{11} \\ x=-3 \end{gathered}\)Note that we have distributed the factors over the parentheses and then we rewrote those whole numbers as fractions.
Thus, the answer is x=-3
Find measure of angle c
Answer:
insta trippy1669
Step-by-step explanation:
A prism is dilated by a factor of 1. 5. How many times larger is the volume of the resulting prism than the volume of the original prism? Enter your answer as a decimal in the box.
The volume of the resulting prism is 3.375 times of original volume.
What is a dilation or scale factor?The factor by which the dimensions of an object are enlarged is called the scale factor.
Let us take the base area of Prizm = a²
Height of the prism = h
Enlarged area = (scale factor)² * previous area
Enlarged area = 1.5²*a² = 2.25a²
Enlarged height = 1.5h
So, enlarged volume = enlarged area* enlarged height
Enlarged volume= 2.25a²*1.5h = 3.375a²h
Enlarged area/previous area = 3.375a²/a² = 3.375
Therefore, the volume of the resulting prism is 3.375 times of original volume.
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A city has a population of 340,000 people. Suppose that each year the population grows by 5.25%. What will the population be after 15 years?
Answer:
Future population = 720800
Step-by-step explanation:
Below is the calculation of population after 15 years.
Given the present population = 340000
Growth in population = 5.25%
Use below formula to find the values:
Future population = Present population ( 1 + r)^n
Future population = 340000 ( 1 + 5.25%)^15
Future population = 340000 (2.15)
Future population = 720800
PLZ HELP IM FAILING THIS CLASS
Answer:
1.D
2. B
Step-by-step explanation:
by inspection that's the answer
I just did cross multiplication and added lcm
but to get the answer you multiply through by -1 (I mean both numerator and denominator)
2. by inspection answer b is the best fit
ANSWER PLEASEEEE which test can be done to both sides of the equation to determine the value of x 3.2 x minus 9.6 equals 38.4
Answer: Answer A.
Step-by-step explanation:
3.2x-9.6=38.4
3.2x=48
x=15
Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8? Give reasons for your answer.
No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.
To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.
The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).
The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).
To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:
(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4
Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.
The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.
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A company expands and hires some new employees. If the ratio of new employees to old employees in the company is 1 : 3, and there are now 1,200 people working for the company, how many new employees did the company hire?
Answer:
300 new employees
Step-by-step explanation:
1:3
x + 3x = 1,200
4x = 1200
x = 300
A video game developer
projects that he will earn $65.00
for every 5 games purchases. Write
an equation to represent the
proportional relationship between
the number of games and the total
earnings.
Answer:
y = 13x
Step-by-step explanation:
If "y" represents how much he earns total
and "x" represents the number of games sold
then the equation is \(y=65\frac{x}{5}\)
which can be simplified to \(y = 13x\)
If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 2p2 y2 = 4px y2 = 4py.
The equation for a parabola does become \(\rm x^2=4py\).
What is parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given
The derivation for the equation of a parabola with a vertex at the oriin.
The equation of the parabola can be written as;
\(\rm (x)^2 + (y - p)^2 = (0)2 + (y + p)2\\\\x^2 + y^2 - 2py + p^2 = y^2 + 2py + p^2\\\\ x^2= 2py+2py\\ \rm \\x^2=4py\)
Hence, the equation for a parabola does become \(\rm x^2=4py\).
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find all numbers and for which the vectors =−6 3 and = 6 6 are orthogonal and have the same magnitude.
The vectors =−6 3 and = 6 6 are not orthogonal because they have different magnitude.
Orthogonal vectors are two vectors that are perpendicular to each other, meaning they form a 90-degree angle.
As we all know that when two vectors have the same magnitude and are orthogonal, they are said to be orthonormal.
To find all numbers and for which the vectors =−6 3 and = 6 6 are orthogonal and have the same magnitude, we first need to find the magnitude of each vector.
For the first vector, =−6 3,
the magnitude is
=> √(−6)² + (3)²
=> √(36 + 9) = √45
=> 3√5.
For the second vector, = 6 6,
the magnitude is
=> √(6)² + (6)² = √(36 + 36)
=> √72 = 6√2.
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A bag of colored paper clips contains 3 red clips
and 6 green clips. What's the probability of
pulling out a red clip and then a green clip?
(Assume that you don't put the first red paper
clip back in the bag.) Write your answer as a
fraction.
Answer:
1/5
Step-by-step explanation:
solution [ calculation of probability ]
P= (3/3+6) × (6/3+6-1)
=3/9×6/10
=1/5
When using the rational root theorem, which of the following is a possible
root of the polynomial function below?
F(x) = 3x³-x² + 4x +5
A. 6
B. -7
C. -5/3
D.4/3
Each of these possible roots using Synthetic division or long division, we find that none of them are actually roots of the Polynomial function F(x). Therefore, none of the options A, B, C, or D is a possible root of the function.
The rational root theorem is a method used to identify possible rational roots of a polynomial function with integer coefficients. The theorem states that if a polynomial function has a rational root, then it must be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
For the polynomial function F(x) = 3x³ - x² + 4x + 5, the constant term is 5 and the leading coefficient is 3. Therefore, the possible rational roots are of the form p/q, where p is a factor of 5 and q is a factor of 3.
The factors of 5 are ±1 and ±5, and the factors of 3 are ±1 and ±3. Therefore, the possible rational roots are ±1/3, ±5/3, ±1, and ±5.
Checking each of these possible roots using synthetic division or long division, we find that none of them are actually roots of the polynomial function F(x). Therefore, none of the options A, B, C, or D is a possible root of the function.
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When p(x) = 9x4- 45x3 + 37x2 + x +2 is divided by x - 2, a student can determine the
remainder by evaluating p(2). What is the value of p(2)?
1
2
P(2) = 652
P(2) = 656
P(2) = -368
P(2) = -64
Answer:
-64
Step-by-step explanation:
The option that gives the correct answer when we evaluate p(2) of the given polynomial is; Option D; P(2) = -64
We are given the polynomial;
p(x) = 9x⁴ - 45x³ + 37x² + x + 2
We are told he wants to determine the remainder by evaluating p(2). This means we will plug in 2 for x in the polynomial to get the remainder.
Thus;
p(2) = 9(2)⁴ - 45(2)³ + 37(2)² + 2 + 2
p(2) = 9(16) - 45(8) + 37(4) + 4
p(2) = 144 - 360 + 148 + 4
p(2) = -64
In conclusion, p(2) = -64 and Option D is the correct option.
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2. Find the slope of the line graphed below!
Remember
Rise
Run
10
Answer:
-1/3
Step-by-step explanation:
Is algebra 3 a thing?
Yes, algebra 3 is definitely a thing.
What is algebra?Algebra is a branch of mathematics that deals with the study of symbols and the rules for manipulating them. It includes the study of mathematical operations and relationships, as well as the properties of equations, terms, and functions. Algebra is a tool for modeling and solving many problems in science, engineering, economics, and other areas.
It is a course designed to build upon the principles of algebra and geometry, and it is typically offered in high school math classes. It covers topics such as linear and quadratic equations, systems of equations, polynomials, matrices, and graphing. Algebra 3 also introduces students to advanced concepts such as logarithmic and exponential functions, probability, and statistics.
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52% in simplest form
Answer:
13/25
Step-by-step explanation:
52% is 52/100, and 52/100 is the same as 26/50, which can be reduced to 13/25
a scientist has two solutions, which she has labeled solution a and solution b. each contains salt. she knows that solution a is salt and solution b is salt. she wants to obtain ounces of a mixture that is salt. how many ounces of each solution should she use?
She should use 72 ounces for solution a and 108 ounces foe solution b.
What is an ounce?It is a several different unit of mass, weight or volume. And it is almost unchanged. It is a unit of weight in the avoirdupois system.
The number of ounces of solution a be x and the number of ounces of solution b be y.
x + y = 180, y = 180 - x
60x + 85y = 75(180)
60x + 85y = 135
60x + 85y = 13500
60x + 85(180 - x) = 13500
60x + 15300 - 85x = 13500
-25x = -1800
x = 72ounces
y = 180 - 72
y = 108 ounces
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What is the axis of symmetry and vertex?
y=-3x2-24x-42
Can someone help me pls
Answer:
okay can you tell me if the first -3x and second 24x are multiply or are just letters and I than I will post the answer
Cos 0 = 4/5 and sin 0 < 0. Identify the quadrant of the terminal side of 0 and
find sin 0
Answer:
sinθ = -3/5, Quadrant IV (Option B)
Step-by-step explanation:
Let's first find the sine
cosθ = adj./hyp.
Pythagorean theorem (in terms of right triangle trig) = (opp)^2 + (adj)^2 = (hyp)^2
Plug in the adjacent and hypotenuse
(opp.)^2 + 16 = 25
solve for the opposite side
opp. = 3
To find the quadrant, recall the sin <0, so the sin has to be negative.
So, your sine value is -3/5.
Sine is negative at Quadrants III and IV, so eliminate C and D.
Since your cosine value is positive, it is at Quadrant IV (Cosine is positive at the first and fourth quadrants.)
Therefore, Option B is correct.
A website sells Bolga baskets for $42 each. The expression 42b represents the total price buying b baskets.
What do the parts of the park expression 42b represent?
In the expression 42b, b represents the ?
and 42 represents the ?
Answer: b represents the variable and 42 represents the coefficent.
Step-by-step explanation:
The required the parts of the park expression 42b represent
the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
Bolga baskets= $42
The expression 42b represents the total price buying b baskets.
According to given question we have
The given statement is
Let the number of bolga basket be b
So, the total price of the bolga basket =42b
The cost of each bolga basket is $42
Therefore, the required the parts of the park expression 42b represent
the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.
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what is the sum of the interior angles of a polygon that has 19 sides?
Answer:
Around 3060.
Step-by-step explanation:
The exact answer would be 3059.95
a refrigerator manufacturer claims that the mean life of its refrigerators is greater than 15 years. you are asked to perform a hypothesis test to test this claim. (a) how would you write the null and alternative hypothesis if you represent the manufacturer and want to support the claim? (b) how would you write the null and alternative hypothesis if you represent the competitor and want to reject the claim?
(a) Null hypothesis: mean life of refrigerators <= 15 years, alternative hypothesis: mean life of refrigerators > 15 years. (b) Null hypothesis: mean life of refrigerators >= 15 years, alternative hypothesis: mean life of refrigerators < 15 years.
What is Null hypothesis?
Null hypothesis (H0) is a statistical hypothesis that states there is no significant difference or relationship between the population parameter and the sample statistic being tested, or no effect of the treatment or intervention being evaluated. It is usually the hypothesis that is initially assumed to be true before the statistical test or experiment is conducted, and is compared against the alternative hypothesis to determine whether the results are statistically significant.
(a) If you represent the manufacturer and want to support the claim that the mean life of its refrigerators is greater than 15 years, the null hypothesis would be:
Null hypothesis (H0): The mean life of the refrigerators is less than or equal to 15 years.
Alternative hypothesis (Ha): The mean life of the refrigerators is greater than 15 years.
(b) If you represent the competitor and want to reject the claim that the mean life of the manufacturer's refrigerators is greater than 15 years, the null hypothesis would be:
Null hypothesis (H0): The mean life of the refrigerators is equal to or greater than 15 years.
Alternative hypothesis (Ha): The mean life of the refrigerators is less than 15 years.
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A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
315 inches long
Step-by-step explanation:
180/4=45
180+(45*3)=315
Answer:
240
Step-by-step explanation:
How do you write 2/15 into a percent?
The answer would be 13.3333%?
Please Help Me Answer These
Answer:
Question 1 : -2 3/4 × 3 1/5 . Change the fractions to improper fraction and multiply .
= -11/4 × 16/5
= -176/20
= -44/5
= -8 4/5
Question 1 answer : -8 4/5Question 2: -4.6/-2
= -4.6/-2
= 2.3
Question 2 answer : 2.3Question 3: - 7/8 ÷ (-2)(-4)
= 7/6(-4)
= -7/4
Question 3 answer : -7/4Question 4 : -4 27/30
= -147/30
= -4.9
Question 4 answer : cQuestion 5 : -3 13/20
Question 5 answer : -3.65Therefore The answer are -8 1/4 , 2.3 , -7/4 , c , -3.65PLEASE HELP!
Which of the following measures can have more than one value for a set of data?
-Mode
-Mean
-Median
Answer:
Mode
Step-by-step explanation:
The median and mean can only have one value for a given data set. The mode can have more than one value
Answer:
Step-by-step explanation:
Can someone please help
Answer:
\(162.07\)
Step-by-step explanation:
An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:
\((angle\ of\ depression) + (angle\ of \ sight)=90\)
Substitute,
\((angle\ of\ depression) + (angle\ of \ sight)=90\)
\((m<ABD)+(m<DBC)=90\)
\(42+(m<DBC)=90\)
Inverse operations,
\(42+(m<DBC)=90\)
\(m<DBC=48\)
Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:
\(sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\)
Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.
In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).
\(tan(\theta)=\frac{opposite}{adjacnet}\)
Substitute,
\(tan(48)=\frac{180}{adjacent}\)
Inverse operations,
\(tan(48)=\frac{180}{adjacent}\)
\(adjacent=\frac{180}{tan(48)}\)
\(adjacent=162.07\)