Which of the following has a slope of 2 and a y-intercept of -4?
y = 2x + 4
y = -2x + 4
y = -2x - 4
y = 2x - 4
Answer:
y = 2x - 4
Step-by-step explanation:
y = ax + b
a = slope
b = y-int
so, in y = 2x - 4
a = slope = 2
b = y-int = -4
how to simplify 8 + ( -6 ) + 4
Answer:
6
Step-by-step explanation:
8+4=12
12-6=6
What is 10÷2/3?
A.) 1/15
B.) 3/20
C.) 20/3
D.) 15
Let's first write out 10 ÷ 2/3:
[tex]\frac{10}{\frac{2}{3} }[/tex]
When we divide by a fraction, we flip the fraction 2/3 into 3/2 so that we can multiply it by 10, so:
[tex]\frac{10}{\frac{2}{3} } =10*\frac{3}{2} =5 * 3=15[/tex]
Thus the answer is 15
Hope that helps!
Which statements are true about fractions and ratios? Select all that apply. All ratios are fractions. Some ratios are not fractions. All fractions are ratios. All ratios compare wholes and parts.
Answer: the person above is wrong
Step-by-step explanation: Some ratios are not fractions.
and All fractions are ratios
What is the square inches?
Answer:
given :-
for rectangular part: length=12in, breadth=8in
for triangular part:base=8in, height=3in
area of the given fig:
area of the given fig:area of 2 triangles +area of rectangle
[tex]→2( \frac{1}{2} \times b \times h) + l \times b \\ →2( \frac{1}{2} \times 8 \times 3) + 12 \times 8 \\ →24 + 96 \\ → {120in}^{2} [/tex]
hope it helps you<3How to calculate grade in class with weighted percentages?.
Answer:
Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.
Step-by-step explanation:
what is the area of the figure below
135in.^2
Step-by-step explanation:
split into 2 shapes :
Triangle
A=bxh/2
= 5 x 6/2
= 15
Rectangle
A=bxh
= 20x6
= 120
120+15=135in.^2
Hope this helps!
An IV solution of 320 mL at a drip rate of 25 gtt/min using a tubing factor of 10 gtt/mL has been ordered to be initiated at 1145. Calculate the infusion time. (Round your answer to the nearest tenth of an hour.)
The infusion time for the IV solution that was prescribed = 128 mins.
Calculation of IV infusion timeTo calculate the infusion time the formula for IV drip rate is used which is;
Drip rate = volume/time × Drop factor
Drip rate = 25gtt/min
Volume = 320mL
Drop factor= 10 gtt/mL
Time = ?
From the formula above, make time the subject of formula. That is,
Time = vol × drop factor/drip rate
= 320 × 10/25
= 3200/25
= 128 mins
Therefore, the infusion time for the IV solution that was prescribed = 128 mins
Learn more about drip rates here:
https://brainly.com/question/24356835
i need answer please
Answer:
Below in bold.
Step-by-step explanation:
Radius of the pizza = 1/2 * 8 = 4 in.
Area of the whole pizza = π r^2
= π * 4^2
= 8 π
So if you take 1/8 away
the area left = 7/8 * 8 * π
= 7π
Taking π to be 22/7:
= 7 * 22/7
= approximately 22 in^2.
The height of a triangle is 4 times its base. If the triangle has an area of 162 ft2, find the length of the base and the height.
Answer:
base= 9 ft
height= 36 ft
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Let the base and the height of the triangle be b and h ft respectively.
162= ½ ×b ×h
Given that h= 4b,
162= ½ ×b ×4b
162= ½(4b²)
162= 2b²
Divide both sides by 2:
b²= 81
Square root both sides:
b= 9
h= 4b
h= 4(9)
h= 36
Thus, the lengths of the base and height are 9 and 36 ft respectively.
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485. what is the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39? use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.04 0.5160 0.21 0.5832 0.37 0.6443 0.38 0.6481 0.39 0.6517 1.00 0.8413 2% 17% 58% 65%
Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.
The z-score is given as
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be
For x = 0.37, then we have
[tex]z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206[/tex]
For x = 0.39, then we have
[tex]z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206[/tex]
Then the probability will be
[tex]\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Answer:
B. 17%
Step-by-step explanation:
Got it from a quizlet with very many five star reviews
A linear function is represented below.
Which function has a greater y-intercept than the function in the table?
A. y = 4x
B. y = –2x
C. y = –x – 1
D. y = –0.5x + 5
here is the chart it wouldn't let me do a screenshot:
X, Y
-2,-6
0 0
3 9
Solution:
D. y = –0.5x + 5
In this chart, the slope, (m):
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]
[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]
[tex]\hookrightarrow \sf 3[/tex]
Equation:
[tex]\sf y_1-y= m(x_1-x)[/tex]
[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]
[tex]\hookrightarrow \sf y+6= 3x+6[/tex]
[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]
[tex]\hookrightarrow \sf y= 3x[/tex]
⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0
A = y-intercept : 0B = y-intercept : 0C = y-intercept : -1D = y-intercept : 5From this D only has the greatest y-intercept than the chart.
Answer:
D
Step-by-step explanation:
Sorry if I'm late for the party, hope this helps anyways! :)
What is the answer to v/-6+79<92
Answer:
v > - 78
Step-by-step explanation:
Version 1.
v
----------- < 92
-6 + 79
v
------------ < 92
73
v
------------ < 92(73)
73(73)
v < 6716
-------------------------------------
Version 2
v
------------ + 79 < 92
-6 -79 -79
v
(-) ------------ < 13(6)
6(6)
-v < 78
÷-1 ÷-1
v > -78
I hope this helps!
the function f(x) is defined by f(x)=3x. the inverse of f(x) is g(x) what is g(12)
Answer:
answer is 4
have a nice day
Factor x2 + 16 completely.
a (x + 4)(x + 4)
b (x + 4)(x − 4)
c Prime
d (x − 4)(x − 4)
Prime
Solution:Let's factor this expression.x^2+16The expression is prime.Let's see why all the other options are wrong.Option A) (x+4)(x+4)x*xx*44*x4*4This makes x^2+8x+16, not x^2+16.Hope it helps.
Do comment if you have any query.
Answer:
prime
Step-by-step explanation:
I tried to delete my answer
Select the correct answer.
Consider this absolute value function.
f(I) = \1 +81
How can function fbe written as a plecewise function?
ОА
f(1) =
=
I + 8, I > 8
-I – 8, I <8
-
OB.
f(3) =
I + 8,
I > -8
-I + 8, I <-8
ОС.
f(3) =
I + 8 I > -8
-I -8, 13-8
-
OD
f(0) =
I + 8, I > 8
-I + 8, I < 8
Answer:
C.
Step-by-step explanation:
billy took a 3/4 mile hike in the woods. if the stopped every 1/4 of a mile to drink from his water bottle, how many times did the top?
brainliest and 50 points!
find the area of the regular polygon
A) 696
B)157.3
C) 1235.2
D) 946.4
(4.5 x 10^9) + (4.5 x 10^-4)
This should be the correct answer,
4.5×10^9x + 0.00045x
Also, some good free calculators that can help with problems like this would be c y m a t h and m a t h w a y .
factorise:-
(a+b)³ - (a-b)³
[tex](a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)[/tex]
Answer:
Step-by-step explanation:
(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]
= a³ + 3a²b + 3ab² + b³ - a³ + 3a²b - 3ab² + b³
= a³ - a³ + 3a²b + 3a²b + 3ab² - 3ab² + b³ + b³
Here, the underlined terms will be cancelled.
= 6a²b + 2b³
= 2 * 3 *a²*b + 2*b³
= 2b* (3a² + b²)
Maria wrote the equation log (startfraction x over 2 endfraction) log (startfraction 20 over x squared endfraction) = log 8 what is the solution to maria’s equation?
The solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] by using the properties of the logarithm is 5/4.
What is a logarithm?A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.
It is given that
[tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex]
Using properties of a logarithm, we get
[tex]\rm log x + log y=logxy[/tex]
[tex]\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8[/tex]
on comparing
10/x = 8
x = 10/8
x = 5/4
Hence, the solution to maria’s equation [tex]\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8[/tex] is 5/4.
Learn more about logarithm;
https://brainly.com/question/20785664
Answer:
C
Step-by-step explanation:
C) 5/4
Use the student's work to complete the problem. What
is the product of 3/9 and 2/5
Answer:
2/15
Step-by-step explanation:
3/9*2/5=
1/3*2/5=
2/15
32° x x
Please help
180°-32°=2x (angles in a triangle always sum up to 180)
2x= 148°
x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)
1. Find the equation of a line passing through the points (1,-2) and (-3,10).
Answer:
Step-by-step explanation:
(1 , -2) x₁ =1 & y₁ = -2
(-3,10) x₂= -3 & y₂ = 10
First we need to find the slope.
[tex]\boxed{Slope = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$}[/tex][tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3[/tex]
m = -3
Equation of the line: y = mx + b
y = -3x + b
To find the value of b, take one of the point and substitue in the above equaiton.
(1 , -2)
-2 = -3*1 + b
-2 = -3 + b
-2 + 3 = b
b = 1
Equation of the line:
y = -3x + 1
A manufacturer makes a closed right cylindrical container whose base has radius 7 inches and whose height measures 14 inches. He also makes another cylindrical container whose base has radius 14 inches and whose height measures 7 inches. Which container requires more metal?
Answer:
The base is a triangle with a base length of 11 m and a corresponding height of 7 m. The height of the prism is 14 m. 12.
Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,5) and (-7, -1)
Distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 +(y_2-y_1)^2}[/tex]
Now replace the variables with the numbers (When you replace the numbers, it doesn't matter which is the first variable and second variable. Just do whatever is easiest).
[tex]d = \sqrt{(-1-(-7))^2+(5-(-1))^2}\\d = \sqrt{(-1+7)^2+(5+1)^2}\\d = \sqrt{6^2+6^2}\\d = \sqrt{36+36}\\d = \sqrt{72} \\d = 8.5[/tex]
Thus, the distance between the two points is 8.5
ILL GIVE BRAINLIST IF ITS CORRECT PLEASE HELP ASAP!!
Answer:
check the attachment and explanation below
Step-by-step explanation:
Explanation for statement 3 :
Suppose The number of shoppers on Saturday is 100 and the number of shoppers on Sunday is 200
Total number of shoppers = 300
On Saturday :
Q₃ = 70 then 25% of shoppers spent more then $70
then 25 shopper spent more then $70
On Sunday:
M’ = 70 then 50% of shoppers spent more then $70
then 100 shopper spent more then $70
On both days:
(100+ 25) shopper spent more then $70
Then 125 shopper spent more then $70
But 125 is not 75% of 100+200=300
Select the polynomial that is a perfect square trinomial.
A. 9x2 + 9x + 1
B. 36b2 − 24b + 8
C.16x2 + 24x + 9
D.4a2 − 10a + 25
Answer:
option c 16x²+24x+9
please mark me as brainlist
Samantha runs 4 1/2 miles in 45 minutes, or 3/4 hour. Nyomi runs 4 1/3 miles in 40 minutes or 2/3 hour. Who runs faster
Answer:✨Samantha✨
Step-by-step explanation:
the westside bakery uses 320 pounds of flour to make 1000 loaves of bread each loaf contains the same amount of flour.How many pounds of flour are used in each loaf of bread?
Answer:
1000/320=100/32=25/8 pounds of flour per piece of bread
Step-by-step explanation:
[tex]if \: each \: loaf \: contains \: the \: same \: amount \: of \: flour \: then \: each \: loaf \: contains \\ = \frac{1000}{320} \\ = 3.125[/tex]
therefore each loaf contains 3.125 pounds