What is the slope of the line through
(
1
,
−
1
)
(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and
(
5
,
−
7
)
(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?
Answer:
The slope is
[tex] - \frac{3}{2} [/tex]
Step-by-step explanation:
Remember:
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
All we have to do is plug the points in.
[tex]Slope = \frac{ - 7 - ( - 1)}{5 - 1} = \frac{ - 6}{4} = - \frac{ 3}{2} [/tex]
Therefore, your slope is
[tex] - \frac{3}{2} [/tex]
a team of five people can deliver leaflets to every house in a particular area in four hours . how long will it take a team of three people ?
Answer:
2.4
Step-by-step explanation:
For one person, it would take 4/5 of an hour (4 divided by 5). Three people would take 12/5 or 2.4 hours because that's just 3*(4/5). Hope this helps!
Equivalent ratio to 12:6
Answer:
24 : 12, 36 : 18, 48 : 24.
Step-by-step explanation:
hope this helps :)
Answer:
24:12
Step-by-step explanation:
Find the distance between A and B
Answer:
26
Step-by-step explanation:
13+13=26
A single die is rolled twice. Find the probability of rolling a 2 the first time and a 4 the second time
Explanation:
The probability of rolling a "2" is 1/6
The probability of rolling a "4" is also 1/6
Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.
The probability of rolling a 2 the first time and a 4 the second time is 1/36
There are 6 faces on a die.
Of these 6 faces, one of them is 2 and one of them is 4
So, the probabilities of rolling a 2 and a 4 are:
P(2) = 1/6
P(4) = 1/6
The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:
[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]
This gives
[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]
Multiply
[tex]\mathbf{Pr = \frac 1{36}}[/tex]
Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36
Read more about probabilities at:
https://brainly.com/question/11234923
HELP ME THIS IS IMPORTANT !!! Look at the image
Answer:
D
Step-by-step explanation:
her value is greater
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. x=22/2, y = 8
B. X= 2, y = 416
C. x=21/2, y= 2/6
D. x= 23, y = 613
Answer:
[tex]\displaystyle y=2\sqrt{6}[/tex]
[tex]\displaystyle x=2\sqrt{2}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:
[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]
Solving for y:
[tex]y=4\sqrt{2}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]
Simplifying:
[tex]\displaystyle y=2\sqrt{6}[/tex]
Now we use the sine ratio:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]
Solving for x:
[tex]x=4\sqrt{2}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}:[/tex]
[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]
Simplifying:
[tex]\displaystyle x=2\sqrt{2}[/tex]
The choices are not clear, but it seems like the correct answer is C.
[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]
[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]
A ball is thrown straight up in the air at a velocity
of 100 feet per second. The height of the ball at t seconds
is given by the formula: h = 100t – 5t^2 Find the
maximum height of the ball and when it will land. Maximum Height ____ ft. Land after: ___ seconds
Answer:
Maximum height = 500 feet
Land after = 20 seconds
Step-by-step explanation:
Let us follow the movement of the ball as it is thrown upwards. We notice that we get to a point, where the change in the height of the ball with respect to time becomes = 0. This means that the ball is at its maximum position.
Hence, mathematically, at maximum height, [tex]dh/dt = 0[/tex]
Recall,
[tex]h = 100t - 5t^2[/tex]
[tex]dh/dt=100-10t[/tex]
From our problem, we can also deduce that at the maximum height, the velocity of the ball is = 0. i.e [tex]dh/dt = 0[/tex]
hence,
[tex]0 = 100-10t\\t =10 seconds[/tex]
The time the ball takes to reach a maximum height is 10 seconds.
The next step will be to substitute this time value into the equation for the height.
[tex]h = 100(10) -5(10)^2=500 feet[/tex]
The maximum height is 500 feet
The object will land after t X 2 seconds = 10 X 2 = 20 seconds. This is because it will have to go up and come back down. This should take twice the time.
Can someone help me out with this please and thank you
Answer:
C
Step-by-step explanation:
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.
If one was to find what 45% of a certain number was, they would have to A-multiply the number by 0.45.
To find the percentage of a number, the following equation applies:
= 45% x Number
45% when written as a decimal is:
= 45 ÷ 100
= 0.45
The equation can therefore be written as:
= 0.45 x Number
In conclusion, 45% of a number can be found by multiplying it by 0.45.
Find out more at https://brainly.com/question/3859567.
How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12
Answer: Infinitely many solutions.
Step-by-step explanation:
When looking at the system, it is immediately clear that the second equation is simply the first equation with all terms multiplied by 2. Therefore, there are infinite solutions because these are actually the same exact line when graphed and will always equal each other no matter what the values for x and y are.
please someone help me
6 weeks until she reaches 60 kilo
Find the value of the x in the equation 4(6x-9.5)=46
Answer:
X= 3.5
Step-by-step explanation:
4(6x-9.5)=46
24x-38=46
X=3.5
Without the aid of technology, what is element e23 of the product of G. H? G 3 2 15 0.5 H = [5 -3.5 005) -1 0.5 5 -3.5 4
Answer:
45 pine tree. 5 5.01 - 2, 500 5.3 - 5 equal 80508 15233?. g of product of 3/8 to 8 elements is what technology of a day weather
solve for rational algebraic equation.
Step-by-step explanation:
Taking the provided equation ,
[tex]\implies \dfrac{3x+4}{5}-\dfrac{2}{x+3} =\dfrac{8}{5} [/tex]
1) Here denominator of two fractions are 5 and x +3 . So their LCM will be 5(x+3)
[tex]\implies \dfrac{(x+3)(3x+4)-(2)(5)}{5(x+3)}=\dfrac{8}{5} [/tex]
2) Transposing 5(x+3) to Right Hand Side . And 5 to Left Hand Side .
[tex]\implies 5(3x^2+4x+9x+12 -10) = 40(x+3)[/tex]
3) Multiplying the expressions.
[tex] \implies 5(3x^2+13x+2) = 40x + 120 [/tex]
4) Opening the brackets .
[tex]\implies 15x^2+ 65x + 10 = 40x + 120 [/tex]
5) Transposing all terms to Left Hand Side .
[tex]\implies 15x^2 + 65x - 40x + 10 - 120 = 0 \\\\\implies 15x^2 +25x - 110 = 0[/tex]
6) Solving the quadratic equation .
[tex]\implies 5(3x^2+5x -22) = 0 \\\\\implies 3x^2+13x-22 = 0 \\\\ \implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{4ac} \\\\\implies x = \dfrac{-5\pm \sqrt{5^2-4(-22)(3)}}{2(3)} \\\\\implies x = \dfrac{-5\pm \sqrt{289}}{6}\\\\\implies x =\dfrac{-5\pm 17}{6} \\\\\implies x = \dfrac{17-5}{6},\dfrac{-17-5}{6}\\\\\implies x = \dfrac{12}{6},\dfrac{-22}{6} \\\\\underline{\boxed{\red{\bf\implies x = 2 , \dfrac{-11}{3}}}}[/tex]
Answer:
[tex]x=2\\x=-\frac{11}{3}[/tex]
Step-by-step explanation:
Solve the rational equation:
[tex]\displaystyle \frac{3x+4}{5}-\frac{2}{x+3}=\frac{8}{5}[/tex]
To eliminate denominators, multiply by 5(x+3) (x cannot have a value of 3):
[tex]\displaystyle 5(x+3)\frac{3x+4}{5}-5(x+3)\frac{2}{x+3}=5(x+3)\frac{8}{5}[/tex]
Operate and simplify:
[tex]\displaystyle (x+3)(3x+4)-5(2)=(x+3)(8)[/tex]
[tex]\displaystyle 3x^2+4x+9x+12-10=8x+24[/tex]
Rearranging:
[tex]\displaystyle 3x^2+4x+9x+12-10-8x-24=0[/tex]
Simplifying:
[tex]\displaystyle 3x^2+5x-22=0[/tex]
Rewrite:
[tex]\displaystyle 3x^2-6x+11x-22=0[/tex]
Factoring:
[tex]\displaystyle 3x(x-2)+11(x-2)=0[/tex]
[tex]\displaystyle (x-2)(3x+11)=0[/tex]
Solving:
[tex]x=2\\x=-\frac{11}{3}[/tex]
How many times will 1/5 go into 37?
Answer:
185 times
Step-by-step explanation:
Answer:
185 times
Step-by-step explanation:
Just look it up
9. The accepted temperature of a refrigerator is 38.0 F. A temperature sensor is tested 10 times in the refrigerator. The temperatures from the test yield the temperatures (in degrees F) of: 37.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.3. Is the distribution of values from the test: accurate (yes or no), precise (yes or no).
Answer:
The answer is "Their values are reliable or accurate in the distribution of the test".
Step-by-step explanation:
Given temperature:
[tex]37.8, \ 38.3, \ 38.1, \ 38.0, \ 37.6, \ 38.2, \ 38.0, \ 38.0, \ 37.4, \ 38.3[/tex]
Calculating the average value temperature:
[tex]\to \frac{37.8 + 38.3 + 38.1 + 38.0 + 37.6+ 38.2+ 38.0+ 38.0+37.4+ 38.3}{10}[/tex]
[tex]\to \frac{379.7}{10}\\\\\to 37.97\\\\\to 38[/tex]
I need help with all of them. Please look at the picture. Thanks.
I need help please!:D
Answer:
5/10= 1/2 4/12=1/3
3/9= 1/3
Step-by-step explanation:
Answer:
5/10 = 1/2
4/12 = 1/3
3/9 = 1/3
i believe these are the answers
express x squared + 4 x -7 in the form (x+a) squared-b where a and b are integers
Answer:
x² + 4x - 7 = (x + 2)² - 11
Step-by-step explanation:
Let us solve the question
∵ The expression is x² + 4x - 7
∵ The form is (x + a)² - b
→ To express the equation in the given form quate them
∴ x² + 4x - 7 = (x + a)² - b
→ Simplify the right side then equate the like terms to find a and b
∵ (x + a)² = (x + a)(x + a)
∴ (x + a)² = (x)(x) + (x)(a) + (a)(x) + (a)(a)
∴ (x + a)² = x² + ax + ax + a²
→ Add the like terms
∵ (x + a)² = x² + (ax + ax) + a²
∴ (x + a)² = x² + 2ax + a²
→ Substitute (x + a)² in the right side by x² + 2ax + a²
∵ x² + 4x - 7 = x² + 2ax + a² - b
→ Equate the coefficients of the like terms
∵ 4x and 2ax are like terms
∴ 4 = 2a
→ Divide both sides by 2
∴ 2 = a
∵ -7 and a² - b are like terms ⇒ constant terms
∴ -7 = a² - b
∵ a = 2
∴ -7 = (2)² - b
∴ -7 = 4 - b
→ Subtract 4 from both sides
∵ -7 - 4 = 4 - 4 - b
∴ -11 = -b
→ Divide both sides by -1
∴ 11 = b
→ Substitute the values of a and b in the given form
∴ (x + a)² - b = (x + 2)² - 11
∴ x² + 4x - 7 = (x + 2)² - 11
Write each as a percent.
13. 1/8
14. 2/3
15. 2 1/10
16. 87/100
Answer:
Concept: % Values
12.5% 66.6%210%87%PLEASE HELP!!!!!
Which of the following is one of the standard forms of a hyperbola
centered at (h,k)?
Given:
Center of hyperbola is at (h,k).
To find:
The standard forms of a hyperbola.
Solution:
We know that, standard forms of a hyperbola are
1. For Horizontal hyperbola:
[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]
2. For Vertical hyperbola:
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]
where, (h,k) is center of the hyperbola.
Therefore, the correct option is B.
What are the solutions of 3b + 12 > 27 – 2b
Answer:
b > 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
3b + 12 > 27 - 2b
Step 2: Solve for b
Add 2b on both sides: 5b + 12 > 27Subtract 12 on both sides: 5b > 15Divide 5 on both sides: b > 3Here we see that any value b greater than 3 would work as a solution to the inequality.
there are 120 voters 90 of them voted yes what percent voted yes
Answer:
75%
Step-by-step explanation:
What is the surface area of the cube below?
4 m
4 m
4 m
12 square meters
64 square meters
80 square meters
96 square meters
Answer: A=6a2
Step-by-step explanation:
did it help?^﹏^
Could someone help me and when you answer could you explain so I know you’re telling the truth
Answer:
3rd answer choice
Step-by-step explanation:
The problem says "no more than" so automatically the first and second answer choices are wrong
Now looking at the last choice, it subtracts 5, but 5 shouldn't be subtracted since all of Janet's purchases should be combined. So that just leaves the third choice
Answer:
3y+5 ≤ 17
Step-by-step explanation:
ok so we need she is buying a certain amount of markers but we don't know exactly how many so it would be 3y
we also know that she brought ONE notebook for 5 dollars which is why it would be 3y + 5
because the total amount will soon add up
now the reason it is ≤ 17
is because the symbol "≤" means less than or equal to
she did NOT spend MORE than 17 but we do not know if she spent exactly 17 or less.
I need help asap please
Answer:
127.1
Step-by-step explanation:
This is easy, if you see the hundredth 0.07, that is above 5 so it rounds up to become 0.1 tenth, normally we check for things like 0.003 in the thousandth, but here it is less than 5 so it does nothing, not to mention it wouldnt change the outcome
given the proportion 3/2 = 4/x, what steps should your teacher take to solve for x? answer in 2-3 sentences
Answer:
x=8/3
Step-by-step explanation:
1. 3/2=4/x [Rewrite the eqaution]
2. 3x=8[Cross multiply]
3. x=8/3[Just divide]
What is the check digit (d) for the UPC barcode number
2-91273-05213-d?
A. 5
B. 7
C. 9
D. 0
Answer:
c edg 2020
Step-by-step explanation:
Gothcu
Which linear inequality is represented by the graph?
Answer:
Second answer is the correct answer