Answer:
h = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.75h + 3 = 12
Step 2: Solve for h
Subtract 3 on both sides: 0.75h = 9Divide 0.75 on both sides: h = 12Step 3: Check
Plug in h into the original equation to verify it's a solution.
Substitute in h: 0.75(12) + 3 = 12Multiply: 9 + 3 = 12Add: 12 = 12Here we see that 12 does indeed equal 12.
∴ h = 12 is a solution of the equation.
Answer:
h = 12
Step-by-step explanation:
Given
0.75h + 3 = 12 ( subtract 3 from both sides )
0.75h = 9 ( isolate h by dividing both sides by 0.75 )
h = 12
A taxi charges a flat rate of $4.45 and $0.26 per mile. The bill for driving m miles is $11.08.
a. Write an equation that models this situation.
b. How many miles did the taxi travel?
Answer:
A. 4.45+ (0.26 x M)
B. M would equal 42.6 miles
Step-by-step explanation:
11.08 divided by .26 would equal 42.615... which would be rounded to the nearest tenths so the answer is 42.6.
Now change matrix B to a 3 x 3 matrix and enter these values for B:
B =
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then select A • B to calculate the product:
77 39 −33
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
=
c11 c12 c13
c11 =
c12 =
c13 =
Answer:
Step-by-step explanation:
56.1,12.1,23.6
Which property of vectors is incorrect? a â xb = -b xã - c. a (b + c) = a + (b + c) 8. Which vector is not orthogonal to u =< -6,8 >? a. <8,-6> C. <4,-3> b. (a + b) + c = a + (b + c) d. a∙b=axb b. <8,6> d. <-4,-3>
The incorrect property of vectors is:
(b): (a + b) + c = a + (b + c)
This property is not incorrect; it is the associative property of vector addition, which states that the order in which vector additions are performed does not affect the result. Therefore, (a + b) + c is equal to a + (b + c).
The correct answer is either:
a. <8, -6>
or
c. <4, -3>
One of these vectors is not orthogonal to u = <-6, 8>.
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HELP FAST! In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
sine (78°) = 714 / side c
side c = 714 / sine (78°)
side c = 714 / 0.97815
side c = 729.95
Step-by-step explanation:
Divide . Rs 78 in the ratio 8
Answer:I don know
Step-by-step explanation:
How can you write and evaluate numbers with exponents?
Answer:
an exponent is the small number written above and to the right of a number
on a keyboard it is written like (^) that
ex. If you were saying 2 to the power of 2, you would write it as 2^2
when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself
Step-by-step explanation:
Find the missing values in the ratio table. Then write the equivalent ratios.
Fish 6 3
Snails 2
4
15
The equivalent ratios are 6 : 2, 3 : ___ __ : 4, 15 : .
The missing values in the ratio table are presented by completing the ratio table as follows;
Fish: \({}\) 6, 3, 12, 15
Snails: \({}\) 2, 1, 4. 5
What is a ratio table?A ratio table is a table used to present or describe the relationship between two quantity values.
The given ratio table of Fish to Snails is presented as follows;
Fish: \({}\) 6, 3, _, 15
Snails: \({}\) 2, _, 4. _
Whereby the ratio of fish to snails is a constant, c, we have, from the first data point;
\(c = \dfrac{6}{2} = 3\)
Which gives;
\(c = \dfrac{The \ number \ fishes}{The \ number \ of \ snails}\)
The number of fishes = 3 × The number of snails
When the number of fishes = 3, we have;
\(3 = \dfrac{3}{The \ number \ of \ snails}\)
\(\therefore \ The \ number \ of \ snails = \dfrac{3}{3} = 1\)
When the number of fishes = 3, the number of snails = 1
Similarly, when the number of snails = 4, we have;
The number of fishes = 3 × 4 = 12
When the number of fishes = 15, then; \(3 = \dfrac{15}{The \ number \ of \ snails}\)
\(\therefore The \ number \ of \ snails = \dfrac{15}{3} = 5\)
The completed table is therefore;
Fish: \({}\) 6, 3, 12, 15
Snails: \({}\) 2, 1, 4. 5
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xy, equals, start fraction, 5, divided by, 2, end fraction, x?
Answer: y = 5/2 and x has infinitely possible values.
Step-by-step explanation:
We can first set up the equation.
xy = (5/2)x
We can divide by x on both sides.
y = 5/2 and x has infinitely possible values.
1. You get paid $8.00 an hour to babysit. They will increase your pay 25% because
you are working during the lowa Game. (D)
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?A. 8,12,15B. 10,24,2
The set of numbers that can represent the side lengths, in centimeters, of a right triangle is 10, 24, 2, option B.
To determine which set of numbers can represent the side lengths, in centimeters, of a right triangle, we will use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two side lengths.
Let's examine the two sets of side lengths provided:
A. 8, 12, 15
Using the Pythagorean theorem, we will check if 8² + 12² = 15².
8² = 64
12² = 144
15² = 225
64 + 144 = 208
Since 208 is not equal to 225, set A does not form a right triangle.
B. 10, 24, 26
Using the Pythagorean theorem, we will check if 10² + 24² = 26².
10² = 100
24² = 576
26² = 676
100 + 576 = 676
Since 676 is equal to 676, set B does form a right triangle.
Therefore, the set of numbers that can represent the side lengths, in centimeters, of a right triangle is B. 10, 24, 26.
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What are the values of these sums, where S = {1,3,5,7}?
The values of these sums in sets ∑(j) = 16
The values of these sums in sets ∑(j²) = 84
The values of these sums in sets ∑(1/j) = 176/105
The values of these sums in sets ∑(1) = 54
What are the sets in mathematics?The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.
Curly brackets { } are typically used to represent sets.
The set is represented by
S = {1,3,5,7}
Part 1-
∑(S) = 1+3+5+7
⇒ 16
Part 2-
∑(S²) = 1²+3²+5²+7²
⇒ 1 + 9 + 25 + 49
⇒ 84
Part 3-
∑(1/S) = 1/1+1/3+1/5+1/7
⇒ (105+35+21+15)/105
⇒ 176/105
Part 4-
∑(1) = 1 + 1 + 1 + 1
⇒ 4
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Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, simulation, or survey. 1) A study of the salaries of college professors in a particular state A) observational study C) experiment B) survey D) simulation hospital A) simulation C) observational study B) experiment D) census 2) A study where a political pollster wishes to determine if his candidate is leading in the polls A) experiment C) observational study B) survey D) simulation
1. Survey is the method of data collection to study of the salaries of college professors in a particular state.
2. Option B is correct, Survey is the method of data collection to study where a political pollster wishes to determine if his candidate is leading in the polls.
1. A study of the salaries of college professors in a particular state:
To collect data for this study, the most appropriate method would be survey.
Researchers can distribute surveys to college professors in the particular state, asking them to provide information about their salaries.
This method allows for gathering specific data directly from the individuals of interest.
2. A study where a political pollster wishes to determine if his candidate is leading in the polls:
For this study, the most suitable method would be survey.
The pollster can conduct surveys asking individuals about their voting preferences and whether they support a specific candidate.
By collecting responses from a representative sample of the population, the pollster can estimate the candidate's standing in the polls.
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Find all horizontal asymptotes of the following function.
f(x) =3x² - 48/2x+8
The given function f(x) =3x² - 48/2x+8 has no Horizontal asymptote.
A horizontal asymptote may be defined as a horizontal line at which the graph of the function will appear to meet but will not actually meet. It is a tool to determine the end behavior of the function. We are given the function f(x) = 3x² - 48/2x+8. Now to find horizontal asymptote of this function we first find lim ₓ→∞ f(x) that is
lim ₓ→∞ (3x² - 48)/(2x + 8)
lim ₓ→∞ 3/2(x - 4) = ∞
Now, we calculate lim ₓ→-∞ f(x) that is
lim ₓ→-∞ (3x² - 48)/(2x + 8)
lim ₓ→-∞ 3/2(x - 4) = -∞
Since, both the limits are different therefore function does not have any horizontal asymptote.
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Can you guys please help me again
Answer:
its D 1 7/8 also which is 1R7
Step-by-step explanation:
mark me as brainliest
Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?
The measure of ∠C is 54°.
To solve the problem :let us assume that line n is a mirror.
∴ ∠A = ∠A' = 59°
∠B = ∠B' = 67°
∠C = ∠C'
According to property of triangles :
Sum of all angles of a triangle is 180°.
∴ A + B + C = 180°
59 + 67 + C = 180
C = \(180 - (59 +67)\)
C = 54°
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Answer:
54 degrees
Step-by-step explanation:
25/35 Marks
Find the midpoint of A and B where A has coordinates (8, 2)
and B has coordinates (3,8).
Answer:
\(\displaystyle (\frac{11}{2},5)\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: \(\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Step-by-step explanation:
Step 1: Define
Point A(8, 2) → x₁ = 8, y₁ = 2
Point B(3, 8) → x₂ = 3, y₂ = 8
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: \(\displaystyle (\frac{8+3}{2},\frac{2+8}{2})\)[Midpoint] [Fraction] Add: \(\displaystyle (\frac{11}{2},\frac{10}{2})\)[Midpoint] Divide: \(\displaystyle (\frac{11}{2},5)\)9. Find the area of the right triangle with
height of 3 2/3 feet and a base of 2 feet.
Step-by-step explanation:
Area= 1/2 * b*h
h= 3 2/3 = 11/3
Area = 1/2*2*11/3 = 11/3 square feet or 3 3/2 square feet
a single digit times a power of 10 to estimate the number 0.00007216
c. now imagine if the original system as shown above had a parallel backup system with the same reliability and a switch reliability of 1. what is the new probability of the system?
So the new probability of the system is 0.9975, or 99.75%. This means that the system with the parallel backup is more reliable than the original system alone.
What is probability?Probability is the measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event will not occur and 1 means the event is certain to occur. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is used in various fields including mathematics, statistics, physics, engineering, finance, and more to help understand and predict the occurrence of events.
Here,
Assuming that the parallel backup system is independent and has the same reliability as the original system, the overall reliability of the system with the backup can be found using the formula for the reliability of a parallel system:
R_total = 1 - (1 - R_1) * (1 - R_2)
where R_1 and R_2 are the reliabilities of the original system and the backup system, respectively.
Since the reliability of the original system is 0.95 and the reliability of the backup system is also 0.95, we can substitute these values into the formula:
R_total = 1 - (1 - 0.95) * (1 - 0.95) = 1 - 0.05 * 0.05 = 0.9975
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x+y=16
y=3x=4
find the solution using substitution
Answer: x=3 ; y=13
Step-by-step explanation:
1. isolate y from equation to substitute into the second equation
y= 16-x ---> (16-x) = 3x+4
2. move to one side and solve for x
4x=12 --> x=3
3. plug in x value to solve for y
3+y=16 or 3(3)+4
y=13
Ohk sove this first
Multiple correct
Answer:
k=3(n+1)(n+2)
Step-by-step explanation:
Given P(Ei)=in and let P(Ei)=ki(i+1)
so
∑i=1nP(Ei)=k∑i=1ni(i+1)=k[n(n+1)(2n+1)6+n(n+1)2]
so
1=kn(n+1)2[2n+13+1]=k3⋅(n+1)(n+2)
so k=3(n+1)(n+2)
Kathleen has a fair die with 6 different-colored sides:red,yellow,blue,green,orange, and purple. She rolls the die 120 times. The die lands on the color green 18 times. Based on Kathleen's results, The experimental probability of rolling the color green is?
The Experimental probability of rolling the color green is 0.15
How to calculate the experimental probability of rolling the color green isThe experimental probability of rolling the color green can be calculated by dividing the number of times the die lands on green by the total number of rolls:
Experimental probability of green = Number of green rolls / Total number of rolls
Experimental probability of green = 18 / 120
Experimental probability of green = 0.15 or 15%
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Find the value of a in the equation below.
5 = x - 18
Answer:
There's no A so I'm going to assume you meant X
X = 23
Step-by-step explanation:
X is equal to 23, because 23 - 18 = 5
or 5 + 18 = 23
Of the 30 students in Dylan's class, 6 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the zoo to the total number of students?
Answer: 6:30
Step-by-step explanation:
this is a part-to-whole relationship, meaning the ratio symbolizes the part(kids who went to the zoo) to whole(total kids) In this case, the part is 6 and the whole is 30, so the ratio is 6:30
The diagram shows a circle with centre O.
A & B lie on the circumference of this circle.
Given that ∠OAB = 40°, evaluate ∠AOB.
Helppp ASAP
As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.
What are the properties of circle?Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB
Diameter is twice of radius.
What is isosceles triangle?The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius
According to the criteria of isosceles triangle angle OAB =OBA =40°
hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]
angle AOB= 100 degrees.
We get, AOB = 100 degrees
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Find the circumference and the area of a circle with a radius of 9mm.
Write your answers in terms of pi, and be sure to include the correct units in your answers.
If the circumference of each tire on a vehicle is approximately 88, how many miles will the vehicle travel when the tires make 35,000 revolutions?Please help me. This is an extra reference question.
Given:
The circumference of each tire on a vehicle is approximately 88.
The circumference of the tire means the distance traveled by vehicle in one revolution.
And the tire makes 35000 revolutions.
So, the distance travel is,
\(\begin{gathered} d=88\text{ }\times35000 \\ d=3080000\text{ } \end{gathered}\)Answer: 3080000 units.
which one does not belong ?
and what is the answer correct ?
Answer:
5/4
5/4 = 1 1/4
It does not belong here
Step-by-step explanation:
Answer:
5/4 because the top is bigger than the bottom
Use the Binomial Theorem to expand (a+b)^15. You can use your calculator to determine the coefficient. Write the step.
Binomials include formulas such as a + b, x - y, etc. For the expansion of a binomial raised to exponents 2 and 3, we have a set of algebraic identities. Examples are (a + b)2 = a2 + 2ab + b2.
What Are Binomial Expansion Formulas?Let us review the definition of a "binomial" before understanding the formulas for binomial expansion. An expression in algebra with two terms is called a binomial.
Binomials include formulas such as a + b, x - y, etc. For the expansion of a binomial raised to exponents 2 and 3, we have a set of algebraic identities. Examples are (a + b)2 = a2 + 2ab + b2.
However, what happens if the exponents are larger numbers? The expansion can be difficult to locate manually.
This procedure is made simpler using the binomial expansion formula. Learn the formula for the binomial expansion and a few examples with solutions.
The expansion of (a + b)3 can be found in Example 1.
Solution:
The sum of (a plus b)3
by applying the binomial expansion formula,
(x + y)n = nC 0 xn y0 + nC 1 xn-1 y1 + nC 2 xn-2 y2 + nC 3 xn-3 y3 +... + nC n 1 x yn-1 + nC n x0yn
(a + b)
3 = 3C
0 a3 + 3C
1 a(3 - 1) (3 - 1) b + 3C
2 a(3 - 2) (3 - 2) b2 + 3C
3 a(3 - 3) b3
= ( 3! / [(3-0)!0!] ) a3 + ( 3! / [(3-1)!1!] ) a(3 - 1) (3 - 1) b + ( 3! / [(3-2)!2!] ) a(3 - 2) (3 - 2) b2 + ( 3! / [(3-3)!3!] ) a(3 - 3) b3
= (a3 first) + (a2 second) + (a1 second) + (a0 third)
= a3 + 3 a2, b + 3 a b2, and b3
(A + B)3 = A3 + 3 A2 B + 3 A B 2 + B3.
The Complete Question.
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What is the probability that a randomly chosen young adult has at least a high school education? which rule of probability did you use to find the answer?
The probability that a randomly chosen young adult has at least a high school education can be found using the rule of probability called the "complement rule".
To find the answer, we need to subtract the probability that a randomly chosen young adult does not have at least a high school education from 1. In other words:
Probability of having at least a high school education = 1 - Probability of not having at least a high school education.
By using this rule, we can calculate the probability.
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