Answer:
1 gal 9 qt
Step-by-step explanation:
Answer:
1.75 US Gallons
Step-by-step explanation:
(3 gal 2 qt) - (1 gal 3 qt) =
1.75 US gallons
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
What does PEMDAS stand for? Then, solve with pemdas in order -> 3 x 2 +( 4 - 1) = ??
Answer:
PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction) to help you remember? Memorable acronyms aren't the only way to memorize concepts.
Step-by-step explanation: -> 3 x 2 +( 4 - 1) = ??
always when you see these in your equation you always start with these>>>(4-1=3) then 3x2=6 then you add that then you get 9
9 is your answer hope this helps
Answer:
The answer is 9.
Step-by-step explanation:
PEDMAS stands for :
\(\purple\star\) P = Parentheses \(\purple\star\) E = Exponents \(\purple\star\) M = Multiplication \(\purple\star\) D = Division \(\purple\star\) A = Addition \(\purple\star\) S = SubtractionTo solve the given equation we will follow the PEDMAS rule.
\(\begin{gathered}\qquad{\twoheadrightarrow{\sf{3 \times 2 + (4 - 1)}}} \\ \\ \qquad{\twoheadrightarrow{\sf{3 \times 2 + (3)}}} \\ \\ \qquad{\twoheadrightarrow{\sf{3 \times 2 + 3}}} \\ \\ \qquad{\twoheadrightarrow{\sf{6+ 3}}} \\ \\ \qquad{\twoheadrightarrow{\sf{9}}} \\ \\ \qquad{\star\underline{\boxed{\tt \pink{ \: 9 \: }}}}\end{gathered}\)
Hence, the answer is 9.
\(\rule{300}{2.5}\)
Which two ordered pairs represent a proportional relationship? A. (2, 2) and (2, 4) B. (1, 2) and (2, 4) C. (3, 3) and (2, 4) D. (1, 2) and (2, 6)
Answer:
I am guessing the answer would be...
A. (2.2)
Step-by-step explanation:
A proportional relationship is a relationship where the ordered pairs are the same. 2 and 2 are the same.
22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
Answer:
see explanation
Step-by-step explanation:
vertical angles are angles on the opposite side at a vertex of 2 lines.
1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles
supplementary angles sum to 180°
adjacent angles on a straight line sum to 180°
1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.
Math question sb please do ts giving branliest
Answer:
All lines are parallel
Step-by-step explanation:
Get each equation in Slope-Intercept form:
1. Divide both sides by 3: \(y=-\frac{4}{3}x+\frac{7}{3}\)
2. No change
3. Subtract 8x and divide by 6 on both sides: \(y=-\frac{4}{3}x-\frac{2}{3}\)
Notice:
a. All slopes are -4/3, AND
b. All y-intercepts are different
please help it’s due tomorrow
[x + y = -4
[x - y = 2
Answer:
which one substitution or elimination
Step-by-step explanation:
Substitution: (-1,-3 )
Elimination: (-1,-3)
i hope this helps you :)
Please mark me brainlest
Can someone help me
Answer:
Y = -½x + 3/2
Y = -3x + 5
Y = 1/4x - 3¼
Step-by-step explanation:
Parallel implies they have the same gradient
Perpendicular implies the gradient is a negative reciprocal of the other.
how long is each side of the box
Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.
How to find the measure of the sides of the box?To find the measure of the sides of the box we must carry out the following mathematical procedure:
As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.
So this cube has a volume of 125cm³, so its sides would be the cube root of 125.
\(\sqrt[3]{125} = 5\)
According to the above, the length of the sides is 5 taking into account that all the sides are equal.
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What percent of 125 is 375?
A) 33.33%
B) 250%
C) 300%
D) 468.75%
Show work
Answer:
To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.
375 / 125 = 3
So 375 is 3 times 125. Multiplying 3 by 100, we get:
3 * 100 = 300%
So the correct answer is C) 300%.
Succes!
Answer:
C) 300%
Step-by-step explanation:
Percent of 125 means the value of x/125.
Where x is the value 375.
375/125 = 3
3 * 1 =
3 * 100% = 300%
It can be mistaken as 33.33% since 125 is 33.33% of 375.
^^ This question is asking 125 is what percent of 375.
But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + y = 2
–5x - 5y = -10
Step-by-step explanation:
The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.
5(x + y) = 2(5)
-5x - 5y = -10
---> 5x + 5y = 10
-5x - 5y = -10
---> 0 = 0
As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.
Christie makes changes to her budget at the end of every month. What is her reason for doing this in terms of smart financial planning?
A.
She keeps changing her mind about her goals.
B.
She is reviewing her goals and aligning the budget to work toward them.
C.
Her needs keep changing, so she changes her monthly budget.
D.
She realizes that her budget is tightly aligned to her goals.
The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.
Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.
Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.
Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.
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X^2+3x-18 what are the zeros of r(x)?
Answer:
Step-by-step explanation:
18 has factors of 9 and 2 or 6 and 3
Those factors must differ by 3, so 6 and 3 in some order is your answer.
(x + 6) (x - 3) = r(x)
You have to make x a value that turns the factor into 0.
x + 6 = 0
x = - 6
x - 3 = 0
x = 3
So the zeros are (3,0) and (- 6,0)
Choice the correct answer
Answer:
wheres A
Step-by-step explanation:
I will give brainliest out please help me answer the unsolved ones
For the given triangles:
(1) x = 5.4
(2) x = √23
(3) θ = 25.84 degree
(4) x = 9.5
(5) n = 41
(1) In the given triangle,
One angle = 16 degree
Perpendicular = x
Hypotenuse = 20
Since we know that
Sinθ = opposite side of θ/hypotenuse
Therefore,
⇒ sin 16 = x/20
⇒ 0.27 = x/20
⇒ x = 5.4
(2) In the given triangle,
Hypotenuse = 12 km
Base = 11 km
perpendicular = x
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (12)²= (x)² + (11)²
⇒ 144 = (x)² + 121
⇒ x² = 23
Taking square root both sides we get,
Hence,
⇒ x = √23
(3) In the given,
Base = 20
Perpendicular = 42
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ (Hypotenuse)² = (42)² + (20)²
⇒ (Hypotenuse)² = 2164
Taking square root both sides,
⇒ (Hypotenuse) = 46.51
⇒ cosθ = Adjacent/hypotenuse
= 42/46.51
= 0.90
Taking inverse of cosθ,
⇒ θ = 25.84 degree
(4) In the given triangle,
One angle = 30 degree
Base = x
Hypotenuse = 11
Since we know that
cosθ = Adjacent/hypotenuse
Therefore,
⇒ cos 30 = x/11
⇒ √3/2 = x/11
⇒ x = 9.5
(4) In the given triangle,
Base = 40
Perpendicular = 9
Hypotenuse = n
We know that the Pythagoras theorem for a right angled triangle:
⇒ (Hypotenuse)²= (Perpendicular)² + (Base)²
⇒ n² = 9² + 40²
⇒ n² = 81 + 1600
⇒ n² = 1681
⇒ n = 41
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who can helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
24 units
Step-by-step explanation:
6 times 8 =48
48 divided by 1/2 = 24
The billingsly cookie company is trying to come up with a cookie that is low in fat but still has good taste. The company decides on a target fat content of 5 grams per cookie. In order to be labeled low-fat, a diffrence of 1.8 grams per cookie is acceptable
The difference in fat per cookie is 5 - 1.8 = 3.2 gm of fat per cookie.
What are Word Problems ?A word problem is a type of mathematics exercise where the majority of the issue's context is supplied in spoken language as opposed to mathematical notation.
A math word problem is a question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."
In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
The amount of fat in a cookie is 5 gm
The amount of fat present in a low fat cookie is 1.8 gm
The difference in fat per cookie is 5 - 1.8 = 3.2 gm of fat per cookie.
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1) Note the following polynomial:
6 + 9x^2 + 3x^3 + 2x^4 - 12x
Part A) Rewrite the polynomial in standard form.
Part B) What is the degree of this polynomial ?
Part C) Use the Rule of Signs to determine the options of possible number of positive zeroes, negative zeroes and complex zeroes
Part D) Use the rational root theorem to determine what positive or negative numbers could be the roots of this polynomial.
Part E) graph this polynomial. Present a sketch or a screenshot of graph please.
Part F) Based on your graph, how many positive, negative and complex zeroes does this polynomial have ?
PLEAS HELP AND SHOW WORK! 25 POINTS and DON"T FORGET ABOUT THE GRAPH!
The powers, (index) and coefficients of the polynomial indicates;
(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
(B) 4
(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4
(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6
(E) Please find attached the graph of the polynomial created with MS Excel
(F) Four complex roots
What is a polynomial?A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.
Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4
Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;
Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;
+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes
The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;
The possible number of negative zeros are 2 or 0, negative zeroes
Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4
Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.
The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;
p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6
Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel
Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial
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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 48 ounces and a standard deviation of 3 ounces. Use the 68-95-99.7 Rule and a sketch of the normal distribution in order to answer these questions. a) 95% of the widget weights lie between and b) What percentage of the widget weights lie between 39 and 54 ounces? % c) What percentage of the widget weights lie above 45 ?
After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.
a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:
48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.
b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.
39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.
54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.
Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.
Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:
100% - 0.15% - 2.5% = 97.35%
c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:
100% - 99.7% = 0.3%.
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-PLEASE HURRY
8. Given: x2 – 2x + 5, find :
1.f(2)
2.f(-3)
3.f(0)
4.f(5) - f(-2)
5.f(1) + f(6)
-
Answer:
Step-by-step explanation:
f(x) = x² - 2x + 5
1) f(2) = (2)² - 2(2) + 5 = 5
2) f(-3) = (-3)² - 2(-3) + 5 = 20
3) f(0) = (0)² - 2(0) + 5 = 5
4) f(5) - f(-2) = (5)² - 2(5) + 5 - [(-2)² - 2(-2) + 5 = 20 - 13 = 7
5) f(1) + f(6) = (1)² - 2(1) + 5 + [(6)² - 2(6) + 5 = 4 + 29 = 33
find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
HELPP PLEASE WILL GIVE BRAINLIEST‼️‼️
Answer:
Its B Trust now gimme the thingy
Step-by-step explanation:
Answer:
Answer D
Step-by-step explanation:
D because (x-2)2 =(4,14)
ASAP Please!
Enter the amplitude of the function. f(x)=5cosx
Amplitude of f(x)=5cosx
= 5
what's an amplitude example?The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude as compared with a reference value. there are numerous definitions of amplitude, which can be all functions of the magnitude of the differences between the variable's extreme values.
It refers to most displacement from the equilibrium that an object in periodic motion show. as an example, a pendulum swings through its equilibrium point (straight down), and then swings to a maximum distance away from the center.
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The cost of a jacket increased from $75.00 to $84.75. What is the percentage increase of the cost of the jacket?
A.
1.3%
B.
87%
C.
13%
D.
9.75%
Answer:
c) 13%
Step-by-step explanation:
Given information,
→ The cost of a jacket increased from the price $75.00 to $84.75.
Now we have to,
→ find the % increase of cost of jacket.
Let's solve the problem,
→ ((84.75 - 75)/75) × 100
→ (9.75/75) × 100
→ 0.13 × 100
→ 13%
Hence, the answer is 13%.
А={a,b,c,d,e}, B={a,d,f}, C={b,e,f,g}, D={a,f,g,h}. Find the sets if we know that: S⫅A, S∩(B∪D)=∅, (A∩C)\S=∅ and {c}\s={c}
Answer:
The sets are: (iv) D={f,g,h,a} ∴D ′ ={b,c,d,e}
Step-by-step explanation:
We know that complement of set A is
A
′
=U−A
Given U={a,b,c,d,e,f,g,h}
(i) A={a,b,c}
A
′
={d,e,f,g,h}
(ii) B={d,e,f,g}
∴B
′
={a,b,c,h}
(iii) C={a,c,e,g}
∴C
′
={b,d,f,h}
(iv) D={f,g,h,a}
∴D
′
={b,c,d,e}
Hope this helps hav a beautiful day!! Plz mark as brinliest!!!
What equation of the line which passes through the point (-1, 2) and is parallel to the line y=x+4
Answer:
Thus, the equation of line for point (-1, 2) is y = x + 3.
Step-by-step explanation:
Answer:
The equation of the line is y = x + 3.
Step-by-step explanation:
A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.
y = mx + b
y = 1 * -1 + b
y = -1 + b
b = y + 1
b = 2 + 1
b = 3
HELP ME PLEASE I ONLY HAVE 30 MINUTES
simplify 14+ 18/2 * 18-7
Answer:
the solution is 169
Step-by-step explanation:
Answer:
169
Step-by-step explanation:
14 +18/2 x 18-7
14+9 x 18-7
14+162-7
169
The admissions officer for Clearwater College developed thefollowing estimated regression equation relating the final collegeGPA to the student’s SAT mathematics score and high-schoolGPA.
y = -1.41 + .0235x1 + .00486x2
where:
x1 = high-school grade point average
x2 = SAT mathematics score
y = final college grade point average
A. Interpret the coefficients in this estimated regressionequation.
B. Estimate the final college GPA for a student who has ahigh-school average of 84 and a score of 540 on the SAT mathematicstest.
So, on solving the provided question, we can say that As a result, this equation student's predicted overall college grade point average is 3.18744.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
The following is an estimation of the final college GPA for a student with an 84 high school average and a 540 on the SAT mathematics test using the provided regression equation:
y = -1.41 + 0.0235(84) + 0.00486(540) \sy = -1.41 + 1.974 + 2.62344 \sy = 3.18744
As a result, this student's predicted overall college grade point average is 3.18744.
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How long do animals live? Beluga whole 40 bengal tiger 10 elephant seal 20 giraffe 25 orangutan 35
The time period of the animals life cycles are,
⇒ Beluga whole = 35 years
⇒ Bengal tiger = 10 years
⇒ Elephant = 20 years
⇒ Giraffe = 25 years
⇒ Orangutan = 40 years
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are some animals and there ages.
Now,
Since, There are some animals and there ages are given.
Hence, The correct ages of the animals are,
⇒ Beluga whole = 35 years
⇒ Bengal tiger = 10 years
⇒ Elephant = 20 years
⇒ Giraffe = 25 years
⇒ Orangutan = 40 years
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