Answer:
-73 , and its called the DIFFERENCE
youre welcome (:
what is the domain and range for f(x)=x^2+8
Answer:
domain: (-∞, ∞) range: [8, ∞)
hope this helps! ;)
Step-by-step explanation:
Kayla,Devon,Maggie are working on translating verbal expressions into algebraic expressions. The question on their assignment asks them to translate “seven less than four times the square root of x”
Answer: maggie is right
Step-by-step explanation:
because the first number is 7 and the first number in the sentence is 7
whats the value of -9(8.15)
Answer:
- 73.35
Step-by-step explanation:
-73.35 = -9(8.15)
Hopefully this helps you :)
pls give me brainlest ;)
One yard = three feet. A carpenter has a piece of wood that is 10 yards long. How many feet of wood does the carpenter have
Answer:
30 ft
Step-by-step explanation:
10 yards x 3 ft per yard= 10x3=30 ft
What is the value of x in the equation
-2/3 x+9= 4/3x-3?
Answer:
6
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-2/3*x+9=(4/3*x-3)=?
Step by step solution :
STEP
1
:
4
Simplify —
3
Equation at the end of step
1
:
2 4
((0-(—•x))+9)-((—•x)-3) = 0
3 3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
3 3 • 3
3 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x - (3 • 3) 4x - 9
———————————— = ——————
3 3
Equation at the end of step
2
:
2 (4x - 9)
((0 - (— • x)) + 9) - ———————— = 0
3 3
STEP
3
:
2
Simplify —
3
Equation at the end of step
3
:
2 (4x - 9)
((0 - (— • x)) + 9) - ———————— = 0
3 3
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
9 9 • 3
9 = — = —————
1 3
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
-2x + 9 • 3 27 - 2x
——————————— = ———————
3 3
Equation at the end of step
4
:
(27 - 2x) (4x - 9)
————————— - ———————— = 0
3 3
STEP
5
:
Adding fractions which have a common denominator
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(27-2x) - ((4x-9)) 36 - 6x
—————————————————— = ———————
3 3
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
36 - 6x = -6 • (x - 6)
Equation at the end of step
6
:
-6 • (x - 6)
———————————— = 0
3
STEP
7
:
When a fraction equals zero
7.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, then multiplies both sides of the equation by the denominator.
Here's how:
-6•(x-6)
———————— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-6 • (x-6) = 0
Equations which are never true:
7.2 Solve : -6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
7.3 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
One solution was found :
x = 6
Answer:
x=6
Step-by-step explanation:
If x = 15 units and h = 6 units, then what is the area of the triangle shown above?
Answer:
45
Step-by-step explanation:
Answer:
45 square units
Step-by-step explanation:
A student was performing an experiment that compared a new protein food to the old food for goldfish. He found the mean weight gain for the new food to be 12.8 grams with a standard deviation of 3.5 grams. Later he realized that the scale was out of calibration by 1.5 grams (meaning that the scale weighted items 1.5 grams too much). What should the mean and standard deviation be for the new food
Answer:
Mean = 11.3 grams
Standard Deviation = 3.5 grams
Step-by-step explanation:
Mean is affected by change of origin but standard deviation is not affected. Hence the scale weighed items 1.5 grams affect only the mean not standard deviation. Hence, the mean for new food item is 12.8 - 1.5 = 11.3 grams as weight gain by 1.5 gram due to wrong calibration and the standard deviation remains the same as 3.5 grams.
solve the following inequality algebraically. 3(x+10) -6 > 12
Answer:
x > −4
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x+24>12
Step 2: Subtract 24 from both sides.
3x+24−24>12−24
3x>−12
Step 3: Divide both sides by 3.
3x/3 > −12/3
x>−4
Answer:
x>−4
Hope this helps
What is the volume of the rectangular prism?
1/3ft
Answer:V=whl
Step-by-step explanation:
L=Length
W= Width
H= Height
Estimate the square root of 125
Answer:
[tex]5\sqrt{5}[/tex]
Step-by-step explanation:
5x – (13 – x) >_9x – 7
Answer:
x<_2
Step-by-step explanation:
first off solve this like a regular equation the >_ dosent matter till later
so basically first multiply - by 13 and -x so you get -13 and x (multiplying two negatives = a positive)
so its 5x-13+x>_9x-7
add 5x and x to get 6x-13 on one side
then you get 6x-13>_9x-7 then subtract -9x from both sides
so its now -3x-13>_-7 add 13 so you get -3x>_6
then divide both sides by -3 (when you divide an equation with a >< or <_ >_ by a negative number that sign switches) so it will now be x<_2
that your final answer hope this helps :)
uppose germination periods, in days, for grass seed are normally distributed and have a known population standard deviation of 2 days and an unknown population mean. A random sample of 22 types of grass seed is taken and gives a sample mean of 46 days. Find the error bound (EBM) of the confidence interval with a 90% confidence level. Round your answer to THREE decimal places.
Answer: 0.701
Step-by-step explanation:
Formula : [tex]EBM =z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\alpha=[/tex] significance level , [tex]\sigma =[/tex] Population standard deviation, n= sample size.
As per given, n= 22
[tex]\sigma = 2[/tex]
Critical z- value for 90% confidence level : [tex]z_{\alpha/2}=1.645[/tex]
Then,
[tex]EBM =(1.645)\dfrac{2}{\sqrt{22}}\\\\=(1.645)\dfrac{2}{4.690416}\\\\\approx0.701[/tex]
Hence , error bound (EBM) of the confidence interval with a 90% confidence level= ± 0.701
The number of kilometers Tony travels in a canoe, d, varies directly with the amount of time spent in the canoe, t. When Tony canoes for 2.25 h, he travels 9 km. Which equation shows this direct linear variation?
d = 4t
d = 2t
d = 2.25t
d = 4 + t
Answer:
d= 4t
Step-by-step explanation:
to find distance, the equation is speed multiplied by time and in this question we are given the time and distance so we have to divide 9km by 2.25hrs to find the speed: 9÷2.25= 4 so, the equation would be d=4t which means that to find distance we need to multiply 4 by the time.
Find the midpoint and the distance between these 2 points. (-4,8) and (6,-2)
Answer:
Midpoint = (1,3)
Distance = 10√2
Step-by-step explanation:
Midpoint
[tex]Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-4,\:8\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)\\\\=\left(\frac{6-4}{2},\:\frac{-2+8}{2}\right)\\\\=(\frac{2}{2} , \frac{6}{2} )\\\\Simplify\\=\left(1,\:3\right)[/tex]
Distance
[tex]Distance = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,8)=(x_1,y_1)\\(6,-2)=(x_2,y_2)\\\\d=\sqrt{\left(6-\left(-4\right)\right)^2+\left(-2-8\right)^2}\\\\d = \sqrt{(6+4)^2+(-2-8)^2}\\ \\d = \sqrt{(10)^2 +(-10)^2}\\ \\d = \sqrt{100+100} \\\\d = \sqrt{200}\\ \\d = 10\sqrt{2}[/tex]
What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction?
Answer:
-9/14 so the answer is B
Step-by-step explanation:
Hope this helps!!!
A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
5−b
b + 5
b⋅5
b−5
Answer:
b + 5
Step-by-step explanation:
If there are 5 more girls and b represents boys, then adding 5 to b (boys) gives you the number of girls. Hope this helps!
Answer:
The second one
Step-by-step explanation: 27-5=22 then u divide 22 divided by 2 and you get 11 then you add five girls to the 11 and you get 16 so there's 11 boys and 16 girls at the party which makes the equation 11+5=16 so the answer is number b (the second one).
What is an equation of the line that passes through the point (−1,−6) and is perpendicular to the line x+6y=6?
[tex]\text{Hello!}[/tex]
[tex]\boxed{y = 6x}[/tex]
[tex]\text{Given equation:}\\x + 6y = 6\\\\\text{Rewrite the equation in the form y = mx + b to find the slope:}\\\\x + 6y = 6\\\\6y = -x + 6\\\\\\\text{Divide all terms by 6:}\\y = -x/6 + 1\\\\\text{Remember that a perpendicular line contains aslope of the negative reciprocal, therefore:}\\\\-1/6x \text{ becomes } 6\\\\\text{Use the coordinates given to find the equation of the perpendicular line:}\\\\(-6) = 6(-1) + b\\\\\\-6 = -6 + b\\\\b = 0\\\\\text{Therefore, the equation is:}[/tex]
[tex]\boxed{y = 6x}[/tex]
Answer:
y=6x
Step-by-step explanation:
honestly i guessed and got it rigth
What is the volume?
8 cm
8 cm
8cm
Answer:
512(cm)3
Step-by-step explanation:
Step-by-step explanation:
A total of 2n cards, of which 2 are aces, are to be randomly divided among two players, with each player receiving n cards. Each player is then to declare, in sequence, whether he or she has received any aces. What is the conditional probability that the second player has no aces, given that the first player declares in the affirmative, when (a) n = 2? (b) n = 10? (c) n = 100?
Answer:
[tex]P(X_s^c|X_F) =0.2[/tex]
[tex]P(X_s^c|X_F) =0.31[/tex]
[tex]P(X_s^c|X_F) =0.331[/tex]
Step-by-step explanation:
From the given information:
Let represent [tex]X_F[/tex] as the first player getting an ace
Let [tex]X_S[/tex] to be the second player getting an ace and
[tex]\sim X_S[/tex] as the second player not getting an ace.
So;
The probabiility of the second player not getting an ace and the first player getting an ace can be computed as;
[tex]P(\sim X_S| X_F) = 1 - P(X_S|X_F)[/tex]
[tex]P(X_S|X_F) = \dfrac{P(X_SX_F)}{P(X_F)}[/tex]
Let's determine the probability of getting an ace in the first player
i.e
[tex]P(X_F) = 1 - P(X_F^c)[/tex]
[tex]= 1 -\dfrac{(^{2n-2}_n)}{(^{2n}_n)}}[/tex]
[tex]= 1 - \dfrac{n-1}{2(2n-1)}[/tex]
[tex]= \dfrac{3n-1}{4n-2} --- (1)[/tex]
To determine the probability of the second player getting an ace and the first player getting an ace.
[tex]P(X_sX_F) = \text{ (distribute aces to both ) and (select the left over n-1 cards from 2n-2 cards}[/tex][tex]P(X_sX_F) = \dfrac{2(^{2n-2}C_{n-1})}{^{2n}C_n}[/tex]
[tex]P(X_sX_F) = \dfrac{n}{2n -1}---(2)[/tex]
[tex]P(X_s|X_F) = \dfrac{2}{1}[/tex]
[tex]P(X_s|X_F) = \dfrac{2n}{3n -1}[/tex]
Thus, the conditional probability that the second player has no aces, provided that the first player declares affirmative is:
[tex]P(X_s^c|X_F) = 1- \dfrac{2n}{3n -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{n-1}{3n -1}[/tex]
Therefore;
for n= 2
[tex]P(X_s^c|X_F) = \dfrac{2-1}{3(2) -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{1}{6 -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{1}{5}[/tex]
[tex]P(X_s^c|X_F) =0.2[/tex]
for n= 10
[tex]P(X_s^c|X_F) = \dfrac{10-1}{3(10) -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{9}{30 -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{9}{29}[/tex]
[tex]P(X_s^c|X_F) =0.31[/tex]
for n = 100
[tex]P(X_s^c|X_F) = \dfrac{100-1}{3(100) -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{99}{300 -1}[/tex]
[tex]P(X_s^c|X_F) = \dfrac{99}{299}[/tex]
[tex]P(X_s^c|X_F) =0.331[/tex]
Convert 15°F to Celsius.
a. -9.4°C
b. 9.4°C
c. - 59°C
d. 59°C
Answer:
-9.4 degree Celsius
Step-by-step explanation:
By using the formula = 15F - 32 × 5/9
= -9.4 degree Celsius
Find the ordered pairs for the x- and y-intercepts of the equation 5x-6y=30 and select the appropriate option below
Answer:
Y=-5
X=6
Step-by-step explanation:
set x =0 then solve then set y=o and solve
Answer:
5x - 6y = 30
6y = 5x - 30
Y = 5/6x - 5
y intercept = -5
Therefore (0, -5)
0 = 5/6x - 5
5/6x = 5
x = 6
x intercept = 6
therefore (6,0)
answer : The x-intercept is (6, 0), the y-intercept is (0, –5).
x intercept =
PLSSSS HELPP ASSPPPP!!!!
Answer:
y=9x
It's 9x because for every hour he earns 9 dollars.
Please answer fast ! I’ll make you brainlest
Answer:
it is d
Step-by-step explanation: make me brainliest
Answer:
4 units left
explanation: the [x-4] part in the equation is the only part with a know value and with a negative x we know it will be going to left of the 0 on the number line
In each expression below, identify the coefficient, constant, and variable. a. 7 + 9 b. 6 – 5 c. 4.5 – 2.7
The variable is the letter like x or y. The coefficient is the number next to the variable like the 2 in 2x or if its just x it would be 1. The constant is the number by itself usually at the end.
Example 2x+5
Variable is x constant is 5 and coefficient is 2. Sorry i didn't answer the actual question and just told you how to find it but those expressions don't have any of these things.
Answer:
-1 and 1/3
Step-by-step explanation:
I replaced each variable with 1. Other than that I just guessed and got it right lol
find the measure of the angle marked with a? Using the inverse trig functions. Round your answer to the nearest degree. part 2
Answer:
sine(?)=opposite/hypotenuse
sine(?)=2/8
sine(?)=0.25
sine inverse of 0.25
angle?=14.48°
Answer:
14° (nearest degree)
Step-by-step explanation:
Please see the attached picture for full solution.
Seven more than twice a number is equal to 21. Find all the numbers that make this sentence is true.
x = a number
7 + 2x = 21
Subtract 7 from both sides
2x = 14
Divide both sides by 2
x = 7
7 is the only number that makes this sentence true.
3(3+2x)=2(-4+3x) has how many solutions?
Answer:
no solution
Step-by-step explanation:
Answer:
1x.
..................................
hope it will works
..................................
Find the cost function for the marginal cost function. C(x) =0.06 e 0.08x; fixed cost is $10 C(x)=_______
Answer:
The cost function for [tex]C(x) = 0.06\cdot e^{0.08\cdot x}[/tex] is [tex]c(x) = 0.75\cdot e^{0.08\cdot x}+10[/tex].
Step-by-step explanation:
The marginal cost function ([tex]C(x)[/tex]) is the derivative of the cost function ([tex]c(x)[/tex]), then, we should integrate the marginal cost function to find the resulting expression. That is:
[tex]c(x) = \int {C(x)} \, dx + C_{f}[/tex]
Where:
[tex]C_{f}[/tex] - Fixed costs, measured in US dollars.
If we know that [tex]C(x) = 0.06\cdot e^{0.08\cdot x}[/tex] and [tex]C_{f} = \$\,10[/tex], then:
[tex]c(x) = 0.06\int {e^{0.08\cdot x}} \, dx + 10[/tex]
[tex]c(x) = 0.75\cdot e^{0.08\cdot x}+10[/tex]
The cost function for [tex]C(x) = 0.06\cdot e^{0.08\cdot x}[/tex] is [tex]c(x) = 0.75\cdot e^{0.08\cdot x}+10[/tex].
what are 3 angles that are congruent to <4
Answer:
12,10,2
Step-by-step explanation:
Daleily bought 2 cookies for $1.25 each and a pack of 6 cupcakes for $3.99 1 point
for the pack. How much did she spend in all? *
I know it’s $6.49 I just want to check if any one else got the same answer as me and if you answer you will get 33 points
Answer: yes the answer is $6.49!!
Step-by-step explanation:
all you have to do is multiply the money amounts by the item count, add both answers, and you get the sum!! Noice Job!!
