Answer:
g = 24 - 1/25m
Step-by-step explanation:
Since the Cadillac Escalade can travel 25 miles per gallon, each mile the Escalade travels is 1/25th of a gallon of gas.
This means that every mile the Escalade travels, 1/25th of a gallon is subtracted from the gas tank. Since the gas tank has a capacity of 24 gallons, the value of the gas tank is 24.
This leads us to the equation:
g = 24 - 1/25m
where g is the amount of gas left, and m is the number of miles driven.
what is the simiplyfly for this -8(-3)
Answer:
24
Step-by-step explanation:
when you open up the parenthesis, you get -8x-3 which is 24.
negative x negative = positive
What do the differences between the points (as shown on the graph) represent?
On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).
Kelsey has $100 in an account the interest-rate is 11% compounded annually to the nearest cent how much will she have in two years
Answer:
$123.21 (nearest cent)
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
P = $100r = 11% = 0.11t = 2 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=100\left(1+0.11\right)^{2}[/tex]
[tex]\implies \sf A=100\left(1.11\right)^{2}[/tex]
[tex]\implies \sf A=123.21[/tex]
Therefore, the value of the account in 2 years will be $123.21 (nearest cent).
Yall please help!!!!!! THANK YOUUU SO MUCHHH!!! Kinda lostttt
Answer:
Should be C
Step-by-step explanation:
Only the same power number can be use to add or subtract :)
But why is A, B and C same kinda stuff?
Step 3: Now multiply the values to get 14,918,904,000. That is almost 15 billion passwords.
That is a lot of passwords! How many passwords would the website have if users were allowed to
reuse the letters and numbers? (Enter the number of successful outcomes in each of the blanks
below. Let the first six spaces represent letters and the last two spaces represent numbers)
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
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Someone please help with this
2sin(x) - 1 =0
first, simplify and isolate sin(x)
2sin(x) - 1 = 0
2sin(x) = 1
sin(x) = 1/2
Then, do sin inverse of 1/2 which is 30 degrees
150 degrees also works because when you set 30 degrees as the reference angle in quadrant 2, you get 150 degrees. 180-30 = 150
C is the answer
what is the value of each of these prefix expressions? * 3 3↑3 3 3 5
Answer:
big bodie built
Step-by-step explanation:
i used to be dusty
Based on the calculations, the value of the given prefix expression is equal to 2205.
What is preorder traversal?The preorder traversal of a tree (T) are typically used in discrete mathematics to determine the value of a prefix expression on a specific expression tree.
For the preorder traversal of this tree (T), we would start from the right most expression:
Prefix expression = * + 3 + 3 ↑ 3 + 3 3 3
Prefix expression = * + 3 + 3 ↑ 3 6 3
Prefix expression = * + 3 + 3 3⁶ 3
Prefix expression = * + 3 3 729 3
Prefix expression = * + 3 732 3
Prefix expression = * 735 3 ⇒ 735 × 3
Value = 2205.
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Complete Question:
Given the following prefix expression:
* + 3 + 3 ↑ 3 + 3 3 3
What is the value of the prefix expression?
The semiperimeter is used to find the area of equilateral triangles only.
O False
O True
Semiperimeter is used to find the area of various shapes including the equilateral triangle (False).
What is the semiperimeter?Semiperimeter is a term used in geometry to refer to half the perimeter of a polygon. It is generally used in formulas for triangles.
However, it is also part of calculations related to other geometric shapes. According to the above, it can be inferred that the semiperimeter can be used to find the area of various geometric figures.
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what is the answer I need this to pass
The correct answer is option A which is segment D which is closer to home.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
From the given graph we can see that in segment D the distance between the home and the person is lesser than all the segments given in the graph.
Therefore the correct answer is option A which is segment D which is closer to home.
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Which is the equation of a line that has a slope of 1/2and passes through point (2, -3)?
Answer:
y = 1/2 x - 4
Step-by-step explanation:
point slope form would be
( y - - 3) = 1/2 (x-2) you can re-arrange as
y = 1/2x -4
Here's an equation of a line:
y - 4x = 9
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
-4y+ x = 18
y + 4x = 4
2y - 8x = 3
4y + x = 18
Answer:
[tex]2y - 8x = 3[/tex]
Step-by-step explanation:
[tex]y - 4x = 9[/tex]
[tex]2y - 8x = 18[/tex]
So 2y - 8x = 3 is parallel to y - 4x = 9.
(a) The average velocity of 25 taxies is 40 km/hr and the average velocity of 35 trucks is 30 km/hr. Find the combined average velocity of both types of vehicles. ( a ) The average velocity of 25 taxies is 40 km / hr and the average velocity of 35 trucks is 30 km / hr . Find the combined average velocity of both types of vehicles.
Answer:
10hr/m because the average velocity is divided by number
Two measures of two supplementary angles are in the ratio of 2.3 find the measurments of the two angles.
Answer:
The angles are 72° and 108°
Step-by-step explanation:
Supplementary angles add up to 180°
Ratio of supplementary angles = 2 : 3
The angles are 2x , 3x
2x + 3x = 180
5x = 180
x = 180 ÷ 5
x = 36°
2x = 2*36 = 72°
3x = 3*36 = 108°
explain please thanks :)
Answer:
24
Step-by-step explanation:
The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.
Okay, on to the problem:
We can do one digit at a time.
First digit:
There are 4 digits that we can choose from. (3, 4, 6, and 7)
Second digit:
No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.
Third digit:
Using the same logic, there are only 2 options left.
We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.
Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of angle ABC is
°.
The measure of angle BAC is
°.
The measure of angle ACB is
°.
The measure of angle ∠ACB is 70°. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
∠ABC + ∠BCA + ∠CAB = 180°
60° + ∠BCA + 50° = 180°
∠BCA = 180° – 110°
∠BCA = 70°
Then the correct option is C.
The complete question is given below.
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of ABC is 60
The measure of BAC is 50
The measure of ACB will be
a. 50
b. 60
c. 70
d. 120
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Answer:
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of angle ABC is
✔ 60
°.
The measure of angle BAC is
✔ 50
°.
The measure of angle ACB is
✔ 70
°.
Step-by-step explanation:
does this function represent a function? yes or no
Answer:b
Step-by-step explanation:
Which of the following phrases does not translate to n - 5?
1. the difference between a number and five
2. a number decreased by five
3. a number subtracted from five
4. a number minus five
Answer:
3
Step-by-step explanation:
Celo used the simple interest formula uppercase a = uppercase p (1 r t) to calculate the interest he earned on his savings last month. which equation is equivalent to the simple interest formula? uppercase p = startfraction uppercase a over 1 r t endfraction uppercase p = startfraction 1 r t over uppercase a endfraction uppercase p = uppercase a minus (1 r t) uppercase p = uppercase a (1 r t)
The equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.
Equivalent equations are the equations that are transformed from one equation to another equation, but the final values they give are equal. It's just the change of the variable on which the equation is derived.
The simple interest equation that Celo used is A = P(1 + rt).
This is currently used to find the final amount A.
On isolating P to one side of the equation in the following ways:
A = P(1 + rt),
or, A/(1 + rt) = {P(1 + rt)}/(1 + rt) {Dividing both sides by (1 + rt)}.
or, A/(1 + rt) = P {Simplifying}.
or, P = A/(1 + rt) {Changing sides}.
Thus, the equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.
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Shelby bought 2 cans of paint and 3/4 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?
Which expression represents the product of negative three-fourths x and –8x? negative 35 over 4 x 6x negative 35 over 4 x squared 6x2
The expression that represents the product of negative three-fourths x and –8x is 6x^2
How to determine the equivalent expression?The statement is given as:
the product of negative three-fourths x and –8x
Rewrite properly as:
-3x/4 * -8x
Divide 4 and 8 by 4
-3x * -2x
Multiply -3 and -2
6x * x
Multiply x and x
6x^2
Hence, the expression that represents the product of negative three-fourths x and –8x is 6x^2
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Answer:
answer is 6x2 or D
Step-by-step explanation:
what is the polar form of -3+ v3i?
So
[tex]\\ \rm\Rrightarrow r=\sqrt{a^2+b^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{(-3)^2+(\sqrt{3})^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{9+3}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{12}[/tex]
[tex]\\ \rm\Rrightarrow r=2\sqrt{3}[/tex]
Find theta
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{y}{x})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{\sqrt{3}}{3})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{-1}{\sqrt{3}})[/tex]
[tex]\\ \rm\Rrightarrow \theta=\dfrac{5\pi}{6}[/tex]
Polar form
[tex]\\ \rm\Rrightarrow r(cos\theta+isin\theta)[/tex]
[tex]\\ \rm\Rrightarrow 2\sqrt{3}(cos\dfrac{5\pi}{6}+isin\dfrac{5\pi}{6})[/tex]
3x + 2(x − 1) − 4? pleeeessssssssssssssssssssssssssss
Answer:
5x - 6Step-by-step explanation:
3x + 2(x − 1) − 4 =
3x + 2x - 2 - 4 =
5x - 6
Answer:
[tex]\boxed{\bf 5x - 6}[/tex]Step-by-step explanation:
[tex]\bf 3x + 2(x - 1) - 4?[/tex]
Distribute.
[tex]\bf 3x + 2x - 2 - 4[/tex]Subtract the numbers.
[tex]\bf 3x + 2x - 2 - 4[/tex][tex]\bf 3x + 2x - 6[/tex]Combine like terms.
[tex]\bf 5x - 6[/tex]_____________________The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family. The t-test for two means is appropriate in this situation because Group of answer choices women and men are dependent samples. women and men are independent samples. women and men are matched samples. the observations are paired. None of these.
The t-test for the two means is appropriate in this situation because women and men are independent samples.
What are Independent Samples?Independent samples are chosen randomly, ensuring that their results are independent of other observations' values.
The premise that samples are independent underlies many statistical analyses. Others are made to evaluate non-independent sample sets.
The samples of men and women are independent since their results are independent of other observations' values.
The Independent Samples t-Test analyzes the means of two separate groups to see if there is statistical support that the population means values are statistically substantially different.
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Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte make? he did not apply the distributive property correctly for 4(1 3i). he did not distribute the subtraction sign correctly for 8 – 5i. he added the real number and coefficient of i in 4(1 3i). he added the two complex numbers instead of subtracted.
Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 4(1 + 3i) – (8 – 5i)
= 4 + 12i - 8 + 5i
He did not distribute the subtraction sign correctly for 8 – 5i.
= -4 + 17i
Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
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Answer:
(A) is correct.
Step-by-step explanation:
In MODE, (second line), fix the number of decimal places to be 2. Then the slope and the y-intercept values of the LinReg line will round to the nearest hundredth. Find the LinReg line of best fit for the National Health Expenditures data. Then predict national health expenditures for 2010. (Hint: You may have to expand the calculator window to include the year 2010 on your screen.)
The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.
What is the equation of a line passing through two points?Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
[tex]\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)[/tex]
In MODE, (second line), fix the number of decimal places to be 2.
Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.
(x₁, y₁) → (1997, 1093)
(x₂, y₂) → (2002, 1553)
Then we have
y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)
y – 1093 = [460 / 5] (x – 1997)
y – 1093 = 92 (x – 1997)
y = 92x – 182631
If x = 2010, then the value of y will be
y = 92 × 2010 – 182631
y = 184920 – 192631
y = 2289
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80
Select the correct answer.
4
What is the solution to the equation?
5√x + 7 = -2
OA -39
OB. -17
OC 25
OD. no solution
Answer:
38 is the correct solution
How far will Kenneth walk in 3.5 hours?
y = 5.5(x)
Answer:
19.25(miles?)
Step-by-step explanation:
Assuming 3.5 is the x value or input of the function
3.5 x 5.5 = 19.25
An ice cube is freezing in such a way that the side length s, in inches, is s(t)=1/2t+4, where it is in hours. The surface area of the ice cube is the function A(s) = 6s²_
Part A: Write an equation that gives the volume at t hours after freezing begins. (2 points)
Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points)
Part C: After how many hours will the surface area equal 294 square inches? Show all necessary calculations. (4 points)
Help Please!!
The equation of volume will be V = [(1/2)t + 4]³. The surface area as a function of time will be A(s) = 3/2 t² + 24t + 96. The number of hours when the surface area equal 294 square inches will be 3 1/2 hours.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
Part A: The equation that gives the volume at t hours after freezing begins will be
V = s³
V = [(1/2)t + 4]³
Part B: The surface area as a function of time, using composition, and determine its range will be
A(s) = 6(1/2 t + 4)²
A(s) = 6 (t²/4 + 4t + 16)
A(s) = 3/2 t² + 24t + 96
Part C: The number of hours when the surface area equal 294 square inches will be
294 = 6(1/2 t + 4)²
49 = (1/2 t + 4)²
7 = 1/2 t + 4
1/2 t = 3
t = 3 1/2 hours
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what two numbers mutiples by -36 and adds to 5
Answer:
+ 9 and - 4
Step-by-step explanation:
9 × - 4 = - 36
9 + (- 4) = 9 - 4 = 5
Answer:
The two numbers are :
9 and -4
9 x -4 = -36
9 + (-4) = 5
Step-by-step explanation:
Hope It Helps!!!
can someone help me?
Answer:
-6
30
22
8x² + 18x + 4
8x² - 2x - 6
Step-by-step explanation:
f(x) = 8x² + 2x - 6
f(0) = 8(0²) + 2(0) - 6 = -6
f(2) = 8(2²) + 2(2) - 6 = 32 + 4 - 6 = 30
f(-2) = 8 × (-2)² + 2(-2) - 6 = 32 - 4 - 6 = 22
f(x + 1) = 8(x + 1)² + 2(x + 1) - 6 = 8(x² + 2x + 1) + 2x + 2 - 6 = 8x² + 18x + 4
f(-x) = 8(-x)² + 2(-x) - 6 = 8x² - 2x - 6
