Answer:
156
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1; Define
Identify
f(x) = 5ˣ + 1
Interval x [0, 4] →b = 4, a = 0
Step 2: Find Rate of Change
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{f(4) - f(0)}{4 - 0}[/tex][Average Rate of Change] Substitute in x [Function f(x)]: [tex]\displaystyle \displaystyle \frac{(5^4 + 1) - (5^0 + 1)}{4 - 0}[/tex](Parenthesis) Evaluate exponents: [tex]\displaystyle \displaystyle \frac{(625 + 1) - (1 + 1)}{4 - 0}[/tex](Parenthesis) Add: [tex]\displaystyle \displaystyle \frac{626 - 2}{4 - 0}[/tex][Fraction] Subtract: [tex]\displaystyle \displaystyle \frac{624}{4}[/tex]Divide: [tex]\displaystyle \displaystyle 156[/tex]2(x+3)=x-4
please help me <3
Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response questions worth 4 points each. The entire test is worth 100 points. Let x represent the number of multiple choice questions, and let y represent the number of open response questions.
Write a system of linear equations to represent each situation.
Answer:
x *2 + (28-x)*4 = 100
Step-by-step explanation:
Given
Total number of questions in the paper = 28
Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.
Also, the complete test is of 100 marks
Thus, the linear equation representing the
x *2 + (28-x)*4 = 100
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36
31vw+41uvw+9uvw–11uvw
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
Answer:
31vw+39uvw . yes we will rewrite the expression
Step-by-step explanation:
41uvw+9uvw=50uvw-11uvw=39uvw
Josh buys candy that costs $8 per pound. He will spend at most $88 on candy. What are the possible numbers of pounds he will buy?
Answer:
11 pounds
Step-by-step explanation:
You would do 88 divided by 8 to get 11
Miss Smith save 5% on her recent Starbucks order because she is a Starbucks Rewards member if the cost of per purchase before the discount was $5.20 how much did Miss smith save
Answer:
$4.94
Step-by-step explanation:
O 5.20 100%
P - 5
N 95%
0.95 x 5.20 = 4.94
Ms. Smith saved $4..94.
Write the percent of the figure that is shaded.
PLEASE HELP ILL GIVE EXTRA POINTS!!!
Answer:
so the total is 20 and its at ten so
10/20=5/10=1/2
so 50 percent
plzzz brainlest
In ΔVWX, the measure of ∠X=90°, XW = 65, WV = 97, and VX = 72. What is the value of the cosine of ∠V to the nearest hundredth?
Answer:
The cosine of ∠V is of 0.74.
Step-by-step explanation:
Relations in a right triangle:
The cosine of an angle is given by the length of the adjacent side divided by the length of the hypotenuse.
XW = 65, WV = 97, and VX = 72.
[tex]\sqrt{65^2+72^2} = 97[/tex], and thus, this is a right triangle.
What is the value of the cosine of ∠V to the nearest hundredth?
The hypotenuse is the largest side, that is, WV = 97.
The adjacent side of angle V is VX = 72. So
[tex]\cos{B} = \frac{72}{97} = 0.74[/tex]
The cosine of ∠V is of 0.74.
if sec theta = - √30 / 3, find cos theta.
if sin(-theta) = -0.97, find cos (π/2 - theta).
Step-by-step explanation:
[tex] \cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10} [/tex]
[tex] \cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta [/tex]
Note that
[tex] \sin( - \theta) = - \sin \theta[/tex]
[tex] \cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1[/tex]
Therefore,
[tex] \cos( \frac{\pi}{2} - \theta ) = 0.97[/tex]
Write the slope-intercept form of the equation for the line.
Answer:
its 4/2 or simplified to 2/1
Step-by-step explanation:
mark me brainliest pls
Please please help need today
Answer:
you need to zoom in i cant see plz :)
Step-by-step explanation:
Savannah hike 1 mile every day after Hiking on Monday she has height 102 miles after hiking on Friday how many miles will she have hike
Answer:
106
Step-by-step explanation: ts 6 9 21 30
After Monday
102 + Tuesday + Wednesday + Thursday + Friday After
102 + 1 + 1 + 1 + 1 = 106
Find an equation for the line that passes through the points (-2,-6) and (6,4).
Step-by-step explanation:
Line P passes through POINTS (-2,6) and (6,4). Using y=mx + b where m is the SLOPE(rise divided by the run), and b is the Y-INTERCEPT. Pick the POINT (6,4) and plug into the Y-INTERCEPT EQUATION above to determine the Y-INTERCEPT
Solve the following system of equations using matrices (row operations).
x-y=3
6x-5z=36
6y+2z=18
Answer:
(6,3,0)
Step-by-step explanation:
Given,
x - y + 0z = 3
6x - 0y - 2z = 36
0x + 6y + 2z = 18
You have the following augmented matrix:
(1) 1 -1 0 3
(2) 6 0 -2 36
(3) 0 6 2 18
Let's (3) add to (2) and divide by 6
(1) 1 -1 0 3
(2) 1 1 0 9
(3) 0 6 2 18
Now, let's (2) add to (1) and divide by 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 6 2 18
Let's (3) ÷ 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 3 1 9
Let's (1) subtract from (2)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 3 1 9
Finally, let's (2) multiply by 3 and subtract from (3)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 0 1 0
Thus,
x = 6, y = 3 and z = 0
The answer is (6, 3, 0)
We have to verify the answer
6 - 3 = 3 ⇒⇒ 3 = 3
6*6 - 5*0 = 36 ⇒⇒ 36 = 36
6*3 + 2*0 = 18 ⇒⇒ 18 = 18
Write the recurring decimal 0.48 a
as a fraction.
Show all your working.
Answer:
[tex] \frac{16}{33} [/tex]
Step-by-step explanation:
[tex]x = 0.48... \\ 100 \times x = 0.48 \times 100 \\ 100x - x = 48.48.. - 0.48 \\ 99x = 48 \\ \frac{99x}{99} = \frac{48}{99} \\ x = \frac{16}{33} [/tex]
Please help with 15, 17 and 19
Given:
15. [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]
17. [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]
19. [tex]2^{\log_2100}[/tex]
To find:
The values of the given logarithms by using the properties of logarithms.
Solution:
15. We have,
[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]
Using property of logarithms, we get
[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1[/tex] [tex][\because \log_aa=1][/tex]
Therefore, the value of [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex] is 1.
17. We have,
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]
Using properties of logarithms, we get
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)[/tex] [tex][\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}][/tex]
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1[/tex] [tex][\because \log_aa=1][/tex]
Therefore, the value of [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex] is -1.
19. We have,
[tex]2^{\log_2100}[/tex]
Using property of logarithms, we get
[tex]2^{\log_2100}=100[/tex] [tex][\because a^{\log_ax}=x][/tex]
Therefore, the value of [tex]2^{\log_2100}[/tex] is 100.
Help please (pre algebra)
Answer:
Step 1: 3t = 51
Step 2: 3t/3 = 51/3
Step 3: t = 17
Step 4: The Green Garage has 17 tires
Hope this helps!
Answer:
3t=51
[tex]\frac{3t}{3}[/tex]=[tex]\frac{51}{3}[/tex]
t=17
The Green Garage has 17 tires.
Step-by-step explanation:
Look at the question carefully
The total cost
of an $82 meal
with a 20% tip
Answer:
$16.40
Step-by-step explanation:
Answer:
98.40
Step-by-step explanation:
First find the tip
82* 20%
82* .20
16.40
Add the tip to the cost of the mean
82+16.40
98.40
If using the method of completing the square to solve the quadratic equation x^2+8x+11=0, which number would have to be added to "complete the square"?
Answer:
4
Step-by-step explanation:
x²+8x+11=0
x²+8x+(+4)²-(+4)²+11=0
Answer:
16
Step-by-step explanation:
x2+8x= −11−11
28=4→(4)2=16
x2+8x+16=x2+8x+16= −11+16−11+16
(x+4)2= 55
16
Please help me with my math answer
Step-by-step explanation:
20 ml is your answer
i hope it helps u
Answer:
If I'm reading it correctly the answer should be 20.
To get that answer all you do is 4x5.
PLEASE HELP! I REALLY NEED IT
Answer:
i think its like this:
Step-by-step explanation:
Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
Answer:
9
Step-by-step explanation:
f(x) = x − 7 and g(x) = x^2
g(f(4))
First find f(4)
f(4) = 4-7 = -3
Then put this result in g(x)
g(-3) = (-3) ^2 = 9
g(f(4) = 9
g(f(4)) =9.
Answer:
Solution given;
(x) = x − 7 and g(x) = x2 .
now
g(f(4))=g(4-7)=g(-3)=(-3)²=9
I need the answer plzzzzzz
Answer:
D
Step-by-step explanation:
compare the numbers
hey besties, I need help
Answer:
C
Step-by-step explanation:
[tex]\frac{2}{3} (x + 2) - \frac{1}{3} (x - 2)[/tex]
First, multiply [tex]\frac{2}{3}[/tex] to [tex](x + 2)[/tex] , then [tex]\frac{1}{3}[/tex] to [tex](x - 2)[/tex], after you have done that, you would get an equation looking like this[tex]\\[/tex]:
[tex]\frac{2}{3} x + \frac{4}{3} - \frac{1}{3}x - \frac{2}{3}[/tex]
Next, add and/or subtract the fractions with the variables together and the ones without together, and that is how you get to your final answer
[tex]\frac{1}{3}x + \frac{2}{3}[/tex]
At Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice
cream alternating with layers of cake. If there are 8 flavors of ice cream, and we count
different cakes based on the order of ice cream layers from top to bottom:
a) how many different cakes can be made if flavors can be repeated?
Answer:
4096 different cakes can be made if flavors can be repeated.
Step-by-step explanation:
Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:
8 x 8 x 8 x 8 = X
64 x 64 = X
4.096 = X
Therefore, 4096 different cakes can be made if flavors can be repeated.
Your cell phone plan costs 55 dollars a month, plus 35 cents per minute. Write an equation to represent the monthly bill of the cell phone plan.
Answer: Umm lemme try this
Step-by-step explanation:
55+35=x
What is the value of the upper quartile?
The mean salary offered to students who are graduating from Coastal State University this year is , with a standard deviation of . A random sample of Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these students is or less
Answer:
The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Z-score with the Central Limit Theorem:
Z-is given by:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
What is the probability that the mean salary offer for these students is X or less?
The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free item
Answer:
20 people
Step-by-step explanation:
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer.
On Monday, 3,000 customers came to the theater.
To find the number of people who got both free items, we will calculate the Least Common Multiple (LCM) of 30 and 75.
LCM of 30, 75
= 5 × 3 × 5 × 2
= 150
Each 150th customer will receive both free items.
Total number of people who receive both free items = 3000 ÷ 150
= 20 people
On Monday 20 people will receive both free items.
A submarine sits at –300 meters in relation to sea level. Then it descends 115 meters. What is its new position in relation to sea level?
Answer:
-415 meters
Step-by-step explanation:
As it was already -300 and it decended even more
so:
-300-`115=-415
Answer:
The answer is A, -415 meters.
Step-by-step explanation:
All right, so the key words we need here are -300, descends, and 115.
Descends means go lower, or in this case, subtract.
We are already at -300 and we descend 115, so we are going to subtract.
Subtracting a number is the same as adding the negative of that number.
-300 + -115 = -415
The answer is A, -415 meters.
Hope this helps, please mark brainliest if possible. :)