Answer:
21. D
22. A
Step-by-step explanation:
Find the output, b, when the input, a, is 6.
B = -1 - 7a
B=
output B= -1-7*(6)
so -7*6=-42
-1-42= -43
The value of the linear equation B = - 1 - 7a at a = 6 will be negative 43.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The equation is given below.
B = - 1 - 7a
The value of the equation at a = 6. Then we have
B = - 1 - 7 × 6
B = - 1 - 42
B = - 43
The value of the linear equation B = - 1 - 7a at a = 6 will be negative 43.
More about the solution of the equation link is given below.
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find the missing angle measure in each figure
Answer:
x = 100°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 7, hence
sum = 180° × 5 = 900°
Sum the given interior angles and equate to 900
x + 155 + 116 + 135 + 135 + 116 + 143 = 900
x + 800 = 900 ( subtract 800 from both sides )
x = 100°
85 kilometers is equal to how many meters
Answer:
85 kilometers is equal to 85 000 meters
Step-by-step explanation:
1 kilometer is equivalent to 1000 meters. Then to convert from kilometers to meters use the following conversion factor
[tex]x\ kilometers * \frac{1000\ meter}{1\ kilometers }[/tex]
In this case [tex]x=85[/tex]
Then
[tex]85\ km* \frac{1000\ m}{1\ km} =85,000\ m[/tex]
Finally 85 kilometers = 85,000 meters
Answer:
85km = 85,000mStep-by-step explanation:
1km - one kilometer
kilo - 1,000 times more
1km = 1,000m
therefore
85km =85 × 1,000m = 85,000m
Please help me it urgent find the total area.
I'll split this figure up in three sections, 65*60, 70*190, and 95*140.
95*140=13300
70*190=13400
65*60= 3900
Add the three areas of the three figures I have split the original figure into and you get 30600 ft²
Factor 27a^3 b^9+8c^18
Answer:
(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12)
Step-by-step explanation:
Given:
Polynomial 27a^3 b^9+8c^18
Factoring the given polynomial
27a^3b^9 can be written as
=3^3.a^3.b^3^3
=(3ab^3)^3
Also 8c^18 can be written as
=2^3.c^6^3
=(2c^6)^3
Hence Polynomial 27a^3 b^9+8c^18 can be written as
=(3ab^3)^3+(2c^6)^3
Applying sum of cubes formula i.e. a^3 + b^3=(a+b)(a^2 – ab + b^2)
=(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12) !
How much of 10% HCl and 35% HCl would be needed to mix and produce 60 liters of 25% HCl?
About 30 & 30 liters
About 33 & 27 liters
About 36 & 24 liters
About 39 & 21 liters
Answer:
Equation:
HCL + HCL = HCL
0.30x + 0.45(50-x) = 0.35*50
Multiply thru by 100 to get:
30x + 45*50 - 45x = 35*50
-15x = -10*50
x = (2/3)50
x = 33 1/3 liters (amt. of 30% solution needed in the mixture)
50-x = 16 2/3 liters (amt. of 45% solution needed in the mixture)
=============
Step-by-step explanation:
Answer:
about 36 and 24 liters
Step-by-step explanation:
a+b = 60 1
let A multiplied by 10 percent and B multiplied by 35 percent then
10 a + 35 b = 1500 ( 60 * 25 ) 2
add no. 1 to 2 and multiply no.1 by -10
-10 a+ -10 b = -600
10 a+ 35 b = 1500 adding
then 25 b = 900 then b = 36 liter
then a = 24 liter
8. Kristen borrowed $700 at a
simple interest rate of 15% for 3
years. How much interest will
Kristen pay?
[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$700\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(700)(0.15)(3)\implies I=315[/tex]
You buy 200 shares at $15.25/share. Your investment gains 10% the first year, and then loses $1.00/share the second year. How much has your total investment increase by the second year?
Answer:
Your total investment increase by $105.00 by second year.
Step-by-step explanation:
You bought 200 shares at the price = $15.25 per share
Total cost of 200 shares = 200 × 15.25 = $3050
First year your investment gains profit = 10%
10% of 3050 = [tex]\frac{10}{100}[/tex] × 3050
= 0.10 × 3050 = $305
Total value of 200 shares on first year = 3050 + 305 = $3,355
Then loses $1.00 per share the second year = 200 × 1.00 = $200
on second year the value of 200 shares would be = 3,355 - 200 = $3,155
So profit by second year = 3,155 - 3050 = $105
Your total investment increase by $105.00 by second year.
Can someone help me with this
The answer is:
x=-8
Because:
If you pick a number(-8) to fill in the equation written below
5x+20+5x=5x-20
After applying the -8 to x you get
-40+20-40=-40-20
When you simply the both sides you get
-60=-60
And that’s right -60 is equal to -60!
Answer:
Third option : x = -8
Step-by-step explanation:
Given
5x+20+5x=5x-20
in order to solve the equation, Subtracting 5x on both sides
5x+20+5x-5x=5x-20-5x
5x+20= -20
20 will be subtracted from both sides
5x+20-20= -20-20
5x= -40
Dividing by 5 on both sides
5x/5= (-40)/5
x= -8
So, the value of x is -8 ..
Is 24 a rational number
Answer:
Yes. because it ends.
Step-by-step explanation:
Rational numbers are numbers that end, or have a repating patern. Examples;
2.252525252525.......
2.369
5
8
8.69
8.541254125412
Hope this helped!
Hello There!
Yes indeed it is. 24 is a rational number because it can be expressed as the quotient of two integers: 24÷ 1
Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?
ANSWER
5 units up
EXPLANATION
The given function is
[tex]y = 2 {x}^{2} [/tex]
The new graph is
[tex]y = 2 {x}^{2} + 5[/tex]
The new function is obtained by adding 5 to the original function.
This will shift the graph up by 5 units.
The translation is a vertical shift up by 5 units.
Answer:
The translation is 5 units up
Step-by-step explanation:
+5 on the outside means up by 5
which inequality is equalivalent to |x-4|<9
Answer:
-5 < x < 13Step-by-step explanation:
[tex]|x-4|<9\iff x-4<9\ \wedge\ x-4>-9\qquad\text{add 4 to both sides}\\\\x<13\ \wedge\ x>-5\to-5<x<13[/tex]
What is the answer to 3 √-125/216
Answer:
2.28i
Step-by-step explanation:
u divide the -125/216
then u square root it
and multiply it times 3
YES THE I IS FOR A REASON IT MEANS IT IS IMAGINARY
2.28i I think that’s the answer but I am not sure
Jo is thinking of a number four less than nine times the number is 176 find jos number
Answer:
20
Step-by-step explanation:
Write as an equation (in order to represent the question better):
9x - 4 = 176
Add 4 to both sides (to remove the '-4' on the left-hand side):
9x = 180
Divide both sides by 9 (to find x):
x = 20
Can someone help with this plz?
Answer:
Hey No worries. Its very easy.
Step-by-step explanation:
Look,
Volume= 84 in.cube
Length=6 in.
Breadth=2 in.
therefore, Height= Volume/(Length*Breadth)
=84/(6*2)
=84/12
=7
Answer:
h = 7 in
Step-by-step explanation:
The volume (V) of a cuboid is calculated using the formula
V = lbh ( l is length, b is breadth and h is height )
Given V = 84 in³, then
lbh = 84 ← substitute l = 6 and b = 2
6 × 2 × h = 84
12h = 84 ( divide both sides by 12 )
h = 7
Ari’s teacher says he may have his report grade based on either the mean or the median of his last six test scores.
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari’s grade?
Answer:
Mean because it is the average of all of them combined = best representation of all grades.
84% & Mean
Step-by-step explanation:
88 + 73 + 97 + 76 + 90 + 80 = 504
**divide by how many grades there are** (6 of them)
504 / 6 = 84
Meaning the best center representation would be 84%
Answer: The Mean
The mean is when you add up all of those grades and divide by the amount of exams.
Determine the distance between -3 and 6.
A) -9 units
B) -3 units
C) 3 units
D) 9 units
Answer:
9 units
Step-by-step explanation:
Because you start at -3 and go up so you do not add the -9 its just 9
It's 9 units because there's no such thing as -9 units!
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. What percent of exam scores are between 400 and 600?
__% of exam scores are between 400 and 600.
Answer:
68% of exam scores lie within one std. dev. of the mean
Step-by-step explanation:
Because the standard deviation is 100, one standard deviation above the mean comes out to 600. Likewise, one std. dev. below the mean comes out to 400. By the Empirical Rule, 68% of exam scores lie within one std. dev. of the mean.
Answer:
[tex]P(400<x<600) = 68.3\%[/tex]
Step-by-step explanation:
We know that the average [tex]\mu[/tex] is:
[tex]\mu=500[/tex]
The standard deviation [tex]\sigma[/tex] is:
[tex]\sigma=100[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
We seek to find
P(400<x<600)
This is:
[tex]P(400<x<600)=P(\frac{400-500}{100}<\frac{x-\mu}{\sigma}<\frac{600-500}{100})\\\\P(400<x<600)=P(-1<Z<1)[/tex]
Looking for the value of z in a normal table we have to:
[tex]P(Z>1) =0.1587\\\\P(Z>-1) = 0.8413[/tex]
So
[tex]P(-1<Z<1)=P(Z>-1) - P(Z>1) =0.8413-0.1587=0.6826\\\\P(400<x<600) = 68.3\%[/tex]
a baseball card is originally worth 3$. it increase by 7% every year while the player is still active. after the player retires it increases 10% every year. if a player remains active dor 7 years, how mich is the baseball card worth after 20 years?
Answer:
[tex]\$16.64[/tex]
Step-by-step explanation:
we know that
The exponential function while the player is still active is equal to
[tex]y=3(1.07)^{x}[/tex]
where
y ----> is the value of the baseball card
x ----> the time in years
Find the value of y for x=7 years (7 years still active)
[tex]y=3(1.07)^{7}=\$4.82[/tex]
After 20 years
x=20-7=13 years (13 years retired player)
The initial value is [tex]\$4.82[/tex]
The new equation is equal to
[tex]y=\$4.82(1.1)^{x}[/tex]
substitute
x=13 years
[tex]y=\$4.82(1.1)^{13}=\$16.64[/tex]
Lydia wanted to flip a coin and roll a die at the same time, but she also wondered what the probability of the coin landing on heads and the die landing on a 5 would be. She did a little bit of thinking and came up with 1/4 as the probability.
In complete sentences, determine if Lydia is correct or incorrect and explain using what you know about compound probability of independent events.
Answer:
incorrect
Step-by-step explanation:
this is because it would be 1/2 and 1/6. you would have to multiply the bases for a probability of 1/12
6.
The higher your credit score, the _____.
lower your savings interest rate
higher your car loan rate
higher risk you are to a creditor
lower your mortgage interest rate
Answer:
lower your mortgage interest rate
Step-by-step explanation:
The higher your credit score, the __lower your mortgage interest rate__.
Because the higher your credit score, the less risk you represent for a lender, so it will most likely grant you a lowest rate for your mortgage/loan.
The "lower your savings interest rate " is not the answer because savings interest rates are not related to the credit score...
"higher your car loan rate " and "higher risk you are to a creditor " are consequences of a low credit score.
Which of the following is a composite number? A. 23 B. 11 C. 25 D. 19
The composite number among options A. 23, B. 11, C. 25, D. 19 is C. 25. Composite numbers have more than two factors, and 25 has factors 1, 5, and 25.
Explanation:The question is asking to identify which of the given options is a composite number. A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In simpler terms, composite numbers have more than two factors.
Now let's evaluate the given numbers:
23 and 19 are prime numbers because they have only two factors which are 1 and the number itself.11 is also a prime number with only two factors which are 1 and 11.25 has factors 1, 5, and 25. Hence, it is a composite number.Therefore, 25 is the composite number among the given options.
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The composite number among the options is C. 25.
Explanation:A composite number is a positive integer greater than 1 that has more than two distinct positive divisors. In other words, it is not a prime number. Examples include 4 (divisible by 1, 2, and 4) and 9 (divisible by 1, 3, and 9).
Thus, a composite number is a positive integer that has more than two divisors. To determine whether a number is composite or not, we check if it is divisible by any number other than 1 and itself. Among the given options, 25 is a composite number because it can be divided evenly by 5 and 1, in addition to 25 and itself.
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Help me find the domain of this function please
Answer:
Domain: {-12, 0, 24, 60}
Step-by-step explanation:
Function:
f(x) = [tex]\frac{x}{12}[/tex]
Range: { -1, 0, 2, 5}
For range = -1,
Domain: -1 = [tex]\frac{x}{12}[/tex] ⇒ x = -12
For range = 0,
Domain: 0 = [tex]\frac{x}{12}[/tex] ⇒ x = 0
For range = 2,
Domain: 2 = [tex]\frac{x}{12}[/tex] ⇒ x = 24
For range = 5,
Domain: 5 = [tex]\frac{x}{12}[/tex] ⇒ x = 60
Domain: {-12, 0, 24, 60}
Complete the square to solve the equation below check all that apply x^2+8x-2=18
x^2+8x-2=18
x^2+8x-2-18= 18-18
x^2+8x-20= 0
(x-2)(x+10)=0
x-2= 0 , x+10=0
x-2+2= 0+2, x+10-10= 0-10
x=2 , x=-10
Answers are x= 2 -B, x=-10 -A.
Answer:
Option A and B
Step-by-step explanation:
Given : Quadratic equation [tex]x^2+8x-2=18[/tex]
To find : Complete the square to solve the equation below check all that apply ?
Solution :
Re-write, [tex]x^2+8x-2=18[/tex]
[tex]x^2+8x-20=0[/tex]
Applying quadratic formula,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here, a=1 , b=8, c=-20
[tex]x=\frac{-8\pm\sqrt{8^2-4(1)(-20)}}{2(1)}[/tex]
[tex]x=\frac{-8\pm\sqrt{64+80}}{2}[/tex]
[tex]x=\frac{-8\pm\sqrt{144}}{2}[/tex]
[tex]x=\frac{-8\pm12}{2}[/tex]
[tex]x=-4\pm6[/tex]
[tex]x=-4+6,-4-6[/tex]
[tex]x=2,-10[/tex]
The solution of the equation is x=2,-10.
Therefore, Option A,B satisfy the equation.
Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.
The slope of the line is .
When the point (7, –4) is used, the point-slope form of the line is .
The slope-intercept form of the line is .
Answer:
The slope of the line is -7/8
When the point (7, –4) is used, the point-slope form of the line is
y+4=(-7/8)(x-7)
The slope-intercept form of the line is y=(-7/8)x+(17/8)
Step-by-step explanation:
Answer:
y+4=(-7/8)(x-7)
Step-by-step explanation:
c/3 = 30/5 what steps do I take to see what c is?
For this case we must find the value of "c" of the following expression:
[tex]\frac {c} {3} = \frac {30} {5}[/tex]
We solve the right side of the equation:
[tex]\frac {30} {5} = 6[/tex]
Rewriting:
[tex]\frac {c} {3} = 6[/tex]
We multiply both sides of the equation by "3":
[tex]c = 6 * 3\\c = 18[/tex]
Answer:
[tex]c = 18[/tex]
Please help ASAP!!!!
The answer is B i had this problem.
Answer: OPTION B
Step-by-step explanation:
Multiply both denominators to find the Least Common Denominator:
[tex]LCD=(3y-4)(y^2)[/tex]
Now, divide each original denominator by the LCD and multiply the result by each numerator. Then:
[tex]=\frac{(6y^2+2y)(y^2)-(9y-7)(3y-4)}{(3y-4)(y^2)}[/tex]
Applying Distributive property, you get:
[tex]=\frac{6y^4+2y^3-(27y^2-36y-21y+28)}{3y^3-4y^2}\\\\=\frac{6y^4+2y^3-27y^2+36y+21y-28}{3y^3-4y^2}[/tex]
Add the like terms in the numerator:
[tex]=\frac{6y^4+2y^3-27y^2+57y-28}{3y^3-4y^2}[/tex]
HELP! 18 points for the two questions!! urgent will mark brainliest
Answer:
1- none of the choices are correct.
2-none of the answer choices are correct.
Step-by-step explanation:
1- there is no k therefore none are correct because they all offer a solution for k
2- yes the parabola opens upward but none are right in the right mix for the other two. the vertex is at (0,-5) and the axis of symmetry is x = 0 (not only because I calculated it and the graph showed it but because (x,y) And the x spot is a 0)
any time you just see a plain x^2 or really anything like that in the same vanilla sense wether the exponent is changed or there is a coefficient and all it has is a plus or minus whatever it will just be along the y axis where the plus or minus number was. (can't remember any vanilla advice for parabolas sorry)
Answer:
1. a=5,h=0,k=0
2. None of the choices are correct
Step-by-step explanation:
1. The function given is:[tex]f(x)=5x^2[/tex]
We can rewrite this in vertex form as: [tex]f(x)=5(x-0)^2+0[/tex].
Comparing this to [tex]f(x)=a(x-h)^2+k[/tex], we have a=5,h=0 and k=0.
The first choice is correct
2. The function given is: [tex]f(x)=x^2-5[/tex]
This can be rewritten in the vertex form as:
[tex]f(x)=a(x-0)^2-5[/tex]
Comparing this to [tex]f(x)=a(x-h)^2+k[/tex], we have a=1,h=0 and k=-5.
Since 'a' is positive, the parabola opens upwards, and has its vertex at (h,k)=(0,-5), and line of symmetry at x=0.
Based on this, the correct choice is none of the choices are correct
1,580 milliliters (mL) is equal to how many liters (L)?
For this case we must make a conversion. By definition, we have to:
1 liter equals 1000 milliliters.
So, we make a rule of three:
1L ------------> 1000mL
x ---------------> 1580mL
Where the variable "x" represents the amount of liters equivalent to 1580 milliliters.
[tex]x = \frac {1580 * 1} {1000}\\x = 1.58[/tex]
Thus, 1580 milliliters equals 1.58 liters.
Anwer:
1.58 liters
12 ÷2x3-(7-5)=?
Please help me solve this equation.
Answer:
16
Step-by-step explanation:
18-(7-5)
18-2=16
Answer:
16
Step-by-step explanation:
12 ÷ 2 × 3 - (7 - 5)
= 12 ÷ 2 × 3 - (2)
= 6 × 3 - 2
= 18 - 2
= 16