For f (x), evaluate the following:
a, f(0)
b. f(6)
Show all of your work
Answer:
a). f(0) = 4
b). f(6) = 8
Step-by-step explanation:
a). When x < 5, piecewise function to be considered,
f(x) = x + 4
Since, x = 0 is less than x = 5
f(0) = 0 + 4
f(0) = 4
b). When 5 ≤ x < 7,
Piecewise function to be considered,
f(x) = 8
Therefore, for x = 6,
f(6) = 8
Which one is correct please help
The three sides of a triangle are in different colors – blue, green and red. The ratio of the length of the blue side to the length of the green side to the length of the red side is 3 : 4 : 5. The perimeter of the triangle is 240 cm. a) Fill in the blank: ___ units = 240 cm b) Fill in the blank: 1 unit = ___ cm c) What is the length of the red side of the triangle?
Answer:
The perimeter is the distance around the triangle. Given the ratio, the perimeter using the ratio is;
= 3 + 4 + 5
= 12 units
a. 12 units = 240 cm
The perimeter in centimetres is 240cm and in ratio is 12 units so they are equivalent.
b. 1 unit = 20 cm
If 12 units are to 240 cm, 1 unit is;
= 240/12
= 20 cm
c. Length of red side;
Red side has length of 5 units. 1 unit is 20 cm.
Length in cm is;
= 5 * 20
= 100 cm
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Find the area of a circle with a diameter of 4.
Either enter an exact answer in terms of r or use 3.14 for it and enter your answer as a decimal.
answerin
units2
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Una empreza tiene contratadas 75 personas. En las oficinas trabaja el 16% de los hombres y 20% de mujeres, si el total de personas q trabaja en oficinas es de 13 personas ¿Cuantod hombres y cuantas mujeres hay en la empreza?
Answer:
50 hombres y 25 mujeres
Step-by-step explanation:
Sea m el número de hombres y w el número de mujeres.
El total es 75
Así; m + w = 75 •••••••• (i)
Además; 16% de m + 20% de w = 13
0,16 m + 0,2 w = 13
Multiplicar por 100
16m + 20w = 1300 ••••• (ii)
De i, m = 75-w 16 (75-w) + 20w = 1300
1200 - 16w + 20w = 1300
4w = 1300-1200
w = 100/4 w = 25
Recordar; w + m = 75
25 + m = 75
m = 75-25
m = 50
What is the range of the function f(x) =
-2x + 5 when the domain is {-5, 5}.
PLZ HELP
Answer:
i need points bro
Step-by-step explanation:
The price of a car has been reduced from $18,500 to $14,800. What is the percentage decrease of the price of the car?
Answer:
125%
Step-by-step explanation:
Problem - 6x - 3 (y+2)
What are you trying to find? we can't solve this without you telling us what you're trying to find first.
i rlly need this answer pls help
Answer:
d
Step-by-step explanation:
155$ after 3 months means 45$ less. 45$ divided by 3 (the number of months) =15
that means she spends 15$ per month
Two brothers, Michael and Alan, were in a bowling league that met once a
week. From past experiences, it is known that both brothers' scores are
approximately normally distributed where Michael has a mean score of 150
with a standard deviation of 30, and Alan has a mean score of 165 with a
standard deviation of 15. Assuming that their scores are independent, which
of the following values is closest to the probability that Michael will have a
greater core than Alan in a single game?
0.16
0.28
0.31
0.33
0.37
Answer:
The correct option is;
0.28
Step-by-step explanation:
The given parameters are;
The mean score for Michael, [tex]\bar x _1[/tex] = 150
The standard deviation, σ₁ = 30
The mean score for Alan, [tex]\bar x _2[/tex] = 165
The standard deviation, σ₂ = 15
Taking n₁ = n₂ = 1
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Taking μ₁ - μ₂ = 0
[tex]z=\dfrac{(150-165)}{\sqrt{\dfrac{30^{2} }{1}-\dfrac{15^{2}}{1}}} \approx -0.577[/tex]
The p-value for a z-score of -0.577 from the z-table is 0.28434
Therefore, the probability that Michael, with mean score, [tex]\bar x _1[/tex] = 150 will have a greater score than Alan, with a mean score of [tex]\bar x _2[/tex] = 165 is 0.28434 ≈ 0.28
Therefore, the correct option is 0.28
A machine produces 42 parts in 7 minutes. How many parts will it produce in 1.5 hours?
You answer is going to be: 540
I really need help plz
Answer:
I think answer is A
Step-by-step explanation:
Cause you notice time is the x and distance (meters) is the y. So 1 minute = 200 meters.
what is the solution to -6(3a+4)=3a-3
Answer:
a = -1
Step-by-step explanation:
-6(3a+4) = 3a-3
-18a-24 = 3a-3
-24+3 = 3a+18a
21a = -21
a = -21 ÷ 21
a = -1
Lung cancer may only be caused by first hand smoke. True False
Answer:
No, it could be caused by seocnd hand smokeing also.
Step-by-step explanation:
Answer:
False.
Step-by-step explanation:
Tobacco use not only affects the person using it but also those around them. Secondhand smoke is the smoke that is exhaled by a smoker or that comes from the burning end of a cigarette, cigar, or pipe. Secondhand smoke contains more than 7,000 chemicals, including hundreds that are toxic and at least 70 that can cause cancer. Breathing in secondhand smoke can lead to a range of health problems, especially in children and non-smoking adults. These can include lung cancer, heart disease, stroke, respiratory infections, and asthma. Additionally, exposure to secondhand smoke during pregnancy can cause low birth weight, premature birth, and sudden infant death syndrome (SIDS). Therefore, it is important to create smoke-free environments to protect the health of everyone, including non-smokers.
For a crafts fair, Charlie made 25 necklaces with 96 beads in each necklace. Shaniqua made 28 necklaces with 84 beads in each necklace. Who used more beads? _____________________ How many more beads? ____________________
Answer:
A. Charlie
B. Charlie used 48 more beads than Shaniqua
Step-by-step explanation:
Charlie:
25 necklaces with 96 beads in each necklace.
Total beads used = number of beads per necklace × number of necklace
= 96 × 25
= 2,400 beads
Shaniqua:
28 necklaces with 84 beads in each necklace.
Total beads used = number of beads per necklace × number of necklace
= 84 × 28
= 2,352 beads
A. Charlie used more beads
B. 2,400 beads - 2,352 beads= 48 beads
Charlie used 48 more beads than
Shaniqua
Solve the system by substitution.
y = -7x + 6
y = -10x
Answer:
(-2, 20)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -7x + 6
y = -10x
Step 2: Solve for x
Substitution
Substitute in y: -10x = -7x + 6Add 10x to both sides: 0 = 3x + 6Isolate x term: -6 = 3xIsolate x: -2 = xRewrite: x = -2Step 3: Solve for y
Define equation: y = -10xSubstitute in x: y = -10(-2)Multiply: y = 20Answer:
x = -2
y = 20
Step-by-step explanation:
y = -7x + 6
y = -10x
y = -10x
-7x + 6 = -10x
3x = -6
x = -2
y = -7x + 6
y = -7 ( -2 ) + 6
y = 14 + 6
y = 20
Which is a unit rate?
1 Cookie/ 1/3 bag
1 Cookie/ 9 bags
2/3 cookies
3 cookies/bag
Answer:
3 cookies/bag
Step-by-step explanation:
First of all, let's define a unit rate. A unit rate is a ratio of the amount of one measurement to one unit of another measurement term. Unit rates can be expressed as fractions.
Now, here is something easier for you to remember: the second unit always have to be something with the quantity of 1.
In this case, "3 cookies/bag" shows how there are three cookies per, or in each bag--which means 1 bag. The second unit, which is bag, has the quantity of one.
What is the solution to the equation? 5-3x = x - 7 1 O A. 2 OB. 1 OC. C. 2 D. 3
Answer:
D. x=3
Step-by-step explanation:
Help pls
im braindead still XD
Answer:
-2.5 , -1 , 15.03 , 15.32
-10 , -6 1/2 , -1 , 0
0.02 , 0.2 , 2.02 , 2.2
Step-by-step explanation:
Answer:
-2.5 , -1 , 15.03 , 15.32
-10 , -6 1/2 , -1 , 0
0.02 , 0.2 , 2.02 , 2.2
Step-by-step explanation:
Remember : anything can be graphed using an ______
What's the ordered pair for R,S,T,U,V,W. Help plz
Answer:
R (1.5, 2.5)
S (2, 0.5)
T (0, 1.5)
U (2.5, 1.5)
V (1, 1)
W (0.5 2)
Step-by-step explanation:
The numbers in between are most like 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4
16x – 20y
20y = 60
Slope intercept form
Answer:
16x=60
X=15/4
Step-by-step explanation:
i need this now ....... EXPLAIN YOUR ANSWER!!!
By what number should you multiply the first equation to solve using elimination?
–3x – 2y = 2
–9x + 3y = 24
–3
6
–9
3
Answer:
3
Step-by-step explanation:
We would be eliminating -9x from the equations.
Thus, we need to make the (-3x) into (-9x) in the first equation.
-9x ÷ -3x = 3
After that, you should be able to solve the equations:
-3x - 2y = 2
Equation 1×3: -9x - 6y = 6
-9x + 3y = 24
Jason is 10 years older than Alex. Mark is 11 years younger than Alex. If the total of their ages is 68, how old is the youngest of them?
Answer:
Mark is 12 years old.
Step-by-step explanation:
Let's just define some variables:
J = Jason
A = Alex
M = Mark
Next, let's put the information given in the question into equations.
Since Jason is 10 years older than Alex we can represent it like this:
J = A + 10
Since Mark is 11 years younger than Alex we can represent it like this:
M = A - 11
All of their ages add up to 68 so we can represent that like this:
J + A + M = 68
We can now do some substitutions to the J and M in this equation, like this:
(A + 10) + A + (A - 11) = 68
Combine like terms:
3A - 1 = 68
Solve for A
3A = 69
A = 23
Now that we found that Alex is 23 we can plug that back in to the first equations to find their ages:
J = 23 + 10
J = 33
M = 23 - 11
M = 12
Mark is the youngest out of the siblings being 12 years old.
Check:
23 + 33 + 12 = 68
68 = 68 :)
I hope this helps!!
- Kay :)
look at pic n answer plz, its math
Answer:
the answer is G because each grab the probability is 1/5 and 1/5*1/5= 1/25
Diana worked on her science project for 513 hours. Gabe worked on his science project 114 times as long as Diana. Paula worked on her science project 34 as long as Diana. How long did Gabe and Paula work on their projects?
Answer:
Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Step-by-step explanation:
It is given that,
Diana worked on her science project for 5 1/3 hours.
Gabe worked on his science project 1 1/4 times as long as Diana.
Paula worked on her science project 3/4 as long as Diana.
Solution,
ATQ,
Gabe worked for :
[tex]5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h[/tex]
Pauls worked for :
[tex]\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h[/tex]
Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Mr. Rozario bought some oranges and some apples. The ratio of oranges to apples is 2:5. He gave 3/4 to his sister and 34 oranges to his brother. He now has a ratio of 2:3. How many oranges and apples did he buy?
Answer:
He bought 544 oranges and 1,360 apples
Step-by-step explanation:
Here, we want to know the number of oranges and apples bought
Let the number of oranges be x and the number of apples be y
Looking at their ratios;
x:y = 2:5
so;
x/y = 2/5
2y = 5x ••••••(i)
Now, he lost 3/4 of the apples ( by giving out)
What would be left with him is (1-3/4) = 1/4 * y = 0.25y
What is left with him out if the oranges will be; x-34
So now;
0.25y/x-34 = 2/3
3(0.25y) = 2(x-34) •••••••(ii)
From i, y = 5x/2 = 2.5x
Putting this into ii above, we have
3(0.25)(2.5x) = 2x - 68
1.875x = 2x-68
2x-1.875x = 68
0.125x = 68
x = 68/0.125
x = 544
But y = 2.5x
y = 2.5 * 544 = 1,360
The volume of a cube is 125 cubic inches what is the length of 1 edge of the cube
Answer:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.
Step-by-step explanation:
Mark me as brainliest!
can someone please help? i will mark brainliest please explain your answer too, thank you
Answer: B. ZX is parallel to CA
Step-by-step explanation:
B is the correct answer because ZX and CA form parallel lines which shows they are parallel to each other.