Answer:
[tex]\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}[/tex]
Step-by-step explanation:
When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?
[tex]f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}[/tex]
A. 48+1.2m>40
B. 40+1.2m<48
C. 48+1.2m<40
D. 40+1.2m>48
In a recent car study, 55% of the cars tested failed the safety test. If 231 cars failed the test. How many cars were tested.?
Answer:
420 Cars were tested
Step-by-step explanation:
231×100÷55=420
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:a. The average index of elementary school children must be 60.69.b. The standard deviation of the sample is about 10% smaller than the population standard deviation.c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.e. 4.40 is 95% of the true average of the index for all elementary school children.f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Complete Question
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:
a. The average index of elementary school children must be 60.69.
b. The standard deviation of the sample is about 10% smaller than the population standard deviation.
c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.
d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.
e. 4.40 is 95% of the true average of the index for all elementary school children.
f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Answer:
The correct option is a and f
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The 95% confidence interval is (56.29, 65.09)
Generally the sample mean(average index of elementary school children) is mathematically represented as
[tex]\= x = \frac{65.09 + 56.29}{2}[/tex]
=> [tex]\= x = 60.69 [/tex]
What is the correct answer?
Answer:
d) 3
Step-by-step explanation:
4t^2 +5t -1
in this equation there are 3 terms:
4t^2, 5t, and -1
Answer:
answer is 3 because there are 4t square + 5t -1
1 2. 3
is 4:3 and 3:4 equivalent
Answer: No
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRAINLIEST
Answer:
118 degrees
Step-by-step explanation:
Answer:
118°
Step-by-step explanation:
62 and angle B are supplementary angles, so they add up to 180. 180-62 is 118, so angle B is 118.
priya changed the rate at which flowed through the faucet. write an equation that represents the relationship w of t and when it takes 3 minutes to fill the cooler with 1 gallon of water. Which of the following equations represent the relationship between w and t? select all that apply.
Answer:
i love you sm
Step-by-step explanation:
A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a common belief that refrigerated batteries last longer. This belief is tested by placing 10 fully charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. A coin tip was used to determine which type of storage each battery would be placed in first. Results indicated that there was no difference in the two types of storage Complete parts (a) through in below.
What type of experimental design is this?
A) Matched pairs design
B) Completely randomized design
C) Randomized block design
D) Case-control study
Answer:
A) Matched pairs design
Step-by-step explanation:
In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.
Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.
Compute 49/24 of 15/24. Give your answer as a fraction in simplest form (not a mixed number).
Answer: 35/16
Step-by-step explanation:
Answer:
35/16
Step-by-step explanation:
49x15=735
Denominator will stay the same because both are same (24)
Then you simplify 735/24
Which will give you 35/16
11. Use an inequality symbol (<,>, 2, =) to compare -26
54
A.
B. =
O C.<
O D.>
Answer:
c. less than symbol < because -26 is less than 54 because its far to the left from 54
What is the domain and range of the function Y=2x-4
Answer:
Domain: all real numbers
Range: all real numbers
Pick the answer that represents two inequalities using the following pair of numbers.
-21 and -22
−21 > −22; −22 > −21−21 > −22; −22 > −21 (A)
−21 < −22; −22 < −21−21 < −22; −22 < −21 (B)
−21 > −22; −22 < −21−21 > −22; −22 < −21 (C)
−21 < −22; −22 > −21 (D)
Answer:
C
Step-by-step explanation:
it's the only one whose inequalities match up, because 0 > -21 > -22
Answer:
C
Step-by-step explanation:
Solve for y. 84,000x + 36,000y = 1,962,800
Answer:
Step-by-step explanation:
4(x-1)=-8 how do i answer this
Answer: x= -1
Step-by-step explanation:
4(x-1)=-8
First distribute
4x-4=-8
Now add 4 to -8
4x=-4
Now divide by 4
X=-1
The answer is x = -1
Step-by-step explanation: When it comes to solving for a variable (x) you have to distribute if there is parenthesis and then use inverse operations to get the answer.
4(x-1)=-8 Distribute
4x - 4 = -8 Subtract 4 from both sides
4x = -4 Divide 4 on both sides
x = - 1 and that is your answer
Find a and b: (10-4i)-(a+bi)=(6-6i)
Answer:
look at attached image, hope this helps! :)
q(x) = –2x+1
r.(x)=x²+2
Find the value of q (r (3)).
What is 200 as a percent?
Answer:
Step-by-step explanation:
So, we know that 200 can also be written as 200.00 which does not change the value of the number. Now, we can turn it into a percentage by moving the decimal point to digits back: 200.00 --> 20000. So, this means that 200 is 20000%.
f(x) = x2 – 5; f(-4)??
A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.”
Answer:
Mai is wrong since both travel the same distance in the same amount of seconds
Step-by-step explanation:
3 centimeters in 3 seconds is 1 centimeter a second for the slug
6 centimeters in 6 seconds is 1 centimeter a second for the snail
so both travel the same distance
Answer:
No, she is wrong. They are both going the same pace.
Step-by-step explanation:
3 centimer divided by 3 is 1. 1 cm a second. 6 centimeters didvided by 6 is 1.
1 cm a second. Hence they are both going the same speed. If you don't understand anything comment and ill explain more. Please heart and 5 stars and brainlest if you don't mind
I NEED THIS NOW! PLZ HELP! 1ST GETS BRAINLIEST! PLZ USE THE 3-READ PROTOCOL
manny has 1/2 of a yard of a fabric with which he intends to make bookmarks. each bookmark is made from 1/8 yard of fabric. how many bookmarks can manny make?
Answer:
Manny can make 4 bookmarks
Step-by-step explanation:
1/2 ÷ 1/8 = ?
(flip the second fraction and multiply)
1/2 x 8/1 = 8/2 = 4
There are 16 boys and 12 girls in Mr.willam’s class. What is the ratio of boys to girls
Answer:
16:12 or 16 to 12
Step-by-step explanation:
Answer:
16:12 or 16 to 12
The ratio of boys to girls is 16 to 12.
all real numbers between −14 and 14 inclusive
Answer:
-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
Answer:
-14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
help me please I will mark as top answer
Answer:
the answer is B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
your welcome
Prime factorization of 60?
6, or 15,or 3,or 9
please help!!
Answer:
The real Prime factors of 60 are 2, 3 and 5 so the answer should be 3
Janet can make 4/5 of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?
Answer: 4 necklaces
Step-by-step explanation: 4/5 x 5 = 4
hope this helps
Answer:
Janet makes 2.4 necklaces in 1 hour
Step-by-step explanation:
first you need to find how many minutes it takes to make one necklace.
to do this, divide 20 by 4 and multiply by 5.
20/4 = 5
5 * 5 = 25
janet makes one necklace every 25 minutes.
one hour is 60 minutes.
60/25 = 2.4
Solve for x in the equation x squared minus 10 x + 25 = 35
Answer:
x=1
Step-by-step explanation:
10x+25=35
10x+25=35
-25 -25
10x=10
10 divided by 10 is 1
What expression equals to 3^15
Answer:
14348907
Step-by-step explanation:
That's the right answer
6. In case of short
circuit............current will flow in
that circuit. *
Answer:
As suggested in the name itself:
a short circuit makes the circuit 'short' which causes the resistance of the circuit to be close to none
When the resistance is decreased, the amount of current flowing in the circuit increases (ohm's law: R ∝ 1/ I)
Therefore, in case of a short-circuit. More current will flow in the circuit
Miss Sherman hired Michael to make balloon animals for the children who visited a carnival Michael was paid a base fee of $100 plus a fee of $1.50 per balloon animal made if Michael was paid $295 how many balloon animals did Michael make?
Answer:
130 balloons.
Step-by-step explanation:
295-100=195$
195÷1.50=130 balloons.
Solve for t when 15cos(2pi/365t)43
Answer:
|2y|+3=2+3
3cos^2(x)+2cos(x)−1=0
3x=4−x
Step-by-step explanation:
Hoped that helped if it did may I please have a brainliest :)
Answer:
152
Step-by-step explanation: