Answer: 12 Basil leaves
Step-by-step explanation:
Given
Monica uses 3 basil leaves for every 8 tomatoes
For 32 tomatoes she needs
[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]
Thus, she needs 12 basil leaves.
What is the format of this proof?
Given: AB = BC
Prove: B is the midpoint of AC.
А
B
O two-column proof
O one-paragraph proof
O flowchart proof
two-paragraph proof
AB = BC
given
AB a BC
def. of a segs.
Bis the midpoint of AC
det of midpt
The solution is, The format of this proof is C. flowchart proof.
What is a flowchart proof?Flowchart Proof. A type of proof that makes use of a graphical illustration. Statements are placed in boxes, and the justification for each statement is written below the box. Arrows imply the logical flow of the statements.
here, we have,
given that,
Given: AB = BC
Prove: B is the midpoint of AC.
now, we have to find that, the format of this proof is what.
now, we know that,
Flowchart proofs are organized with boxes and arrows; every "statement" is inside the field and every "reason" is below every field. each statement in evidence permits every other subsequent statement to be made.
In flowchart proofs, this development is proven through arrows.
Hence, The solution is, The format of this proof is C. flowchart proof.
Learn more about Flowchart Proof here
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A= 8x³ - 36x² + 54x - 27
A = ( ? x -?)³
Answer:
[tex](2x-3)^{3}[/tex]
Step-by-step explanation:
2x * 2x * 2x would get the 8x^3
the -3 * -3 * -3 would get the -27
if you do all the other multiplications -36x^2 and 54 X would result
how can we prepare for exam when 15 day are left
Answer:
1st step, DON'T PANIC. You have plenty of time to study. When it's a big exam, I like to set aside 2 hours daily for studying. If you're confused by certain topics, watch a video or ask your professor how to properly complete the answer. One college tip I learned: ALWAYS ASK THE PROFESSOR IF YOU GET CONFUSED WHILE STUDYING! They can help clear up problems you have. On the night before the exam, make sure you get a good night's rest. On the day of your exam, make sure to eat a good breakfast.
You have plenty of time, you got this! :)
1. Have some healthy food...or junk food or food that you love... because with a hungry stomach no one can study...
2. Take a break after every 15min... while studying..
3. Call your friends and study together...i.e. make a study circle...
4.Study loudly and faster...
At last..if you feel you're prepared then... good..if not.. then have a corner and weep and cry...or
5. have advice of your best friend or genius friend... if he or she didn't picks up phone then again cry because he or she is studying seriously with concentration so he or she will not pick up your phone...
6. At last pick up your all the methods of cheating...
hope it helps..
What are the steps involved in multiplying/ dividing rational expressions??
Answer:
Multiplication:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction. Write it as a product of the factors of the numerators over the product of the factors of the denominators. DO NOT multiply anything out at this point.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Division:
Step 1: Completely factor both the numerators and denominators of all fractions.
Step 2: Change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal.
Step 3: Cancel or reduce the fractions. Remember that to reduce fractions; you can cancel something in the numerator with something in the denominator, but in order to cancel something in the numerator and denominator the two factors must be EXACTLY the same.
Step 4: Rewrite the remaining factor. Notice that you do NOT need to actually multiply anything in the numerator or denominator.
Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
O B. Yes, because it passes the horizontal line test.
given a sphere with a radius of m. what is the locus of the midpoints of the radii of the sphere?
Answer:
The locus of the midpoints of the radii of the sphere is a sphere half the radii M of the given sphere and having the same center as of the given sphere.
Step-by-step explanation:
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1+6)
919+6)
9(1 +54)
9(1) + 9(54)
Answer:
9(1 +6)
Step-by-step explanation:
9 = 9 * 1
54 = 9 * 6
9 + 54 = (9*1 ) + (9*6) {9 is common in both terms}
= 9*(1 + 6)
Evaluate the expression when m=4.
m^2 + 6m + 8
Answer:
According to me,
48 is the answerswhat is the side length of the square in cm
Answer:
8.4 cm^2
Step-by-step explanation:
The area of the rectangle is
A = lw
A = 3x *5x = 15x^2
126 = 15x^2
126/ 15 =15x^2/15
42/5 = x^2
We want to find the area of the square
A = l*w
A = x*x
A = x^2 = 42/5 = 8.4 cm^2
instruction Find m<HFG
Answer:
∠ HFG = 79°
Step-by-step explanation:
The inscribed angle HFG is half the measure of its intercepted arc, that is
∠ HFG = [tex]\frac{1}{2}[/tex] × 158° = 79°
solue for &
X(3 + X) = 3x + x²
3x+x^2=3x+x^2
3x-3x=x^2-x^2
which means x=0
Factor 16p4 - 24p3. find the factor
Answer:
8p^3 ( 2p -3)
Step-by-step explanation:
16p^4 - 24p^3
8*2* p^3 *p - 3*8*p^3
Factor out the common terms
8p^3 ( 2p -3)
ative section 3. a) The angle of elevation of the top of a tree observed from a point 60 m away from its foot is 45. Find the height of the tree, b) The angle of depression at a noint on 11
Answer:
The height of the tree is is 60m
Step-by-step explanation:
Let's answer a, as it is the only complete question.
We know that the angle of elevation of the top of a tree observed from a point 60m away, is 45°.
We can model this with a triangle rectangle, a sketch of it can be seen below (assuming that you are looking it from the ground).
You can see that the adjacent cathetus to the 45° angle is equal to 60m
And the opposite cathetus is the measure we want to find.
Now you can remember the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus).
So to find the height of the tree we need to solve:
tan(45°) = H/60m
This is just:
tan(45°)*60m = H =60m
The height of the tree is is 60m
A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of thousand miles and a standard deviation of thousand miles. Complete parts (a) through (d) below.
Complete question is;
A trucking company determined that the distance traveled per truck per year in its entire fleet was normally distributed with a mean of 55 thousand miles and a standard deviation of 11 thousand miles.
a)A truck in the fleet traveled 42 thousand miles in the last vear. Calculate the z-score for this truck.
b) Interpret the z-score
c) The trucking company has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected. What is the probability that a randomly selected truck from the fleet will have to be inspected?
d) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Should this truck be removed from the road and inspected? Explain why or why not.
Answer:
A) z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average
C) P(z > 2.5) = 0.0062
D) it's value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
Step-by-step explanation:
A) We are given;
Population mean; μ = 55000
Sample mean; x¯ = 42000
Standard deviation; σ = 11000
Z-score formula is;
z = (x¯ - μ)/σ
z = (42000 - 55000)/11000
z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average.
C) since it has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected, then it means that probability that it will be inspected is;
P(z > 2.5) = 1 - P(z < 2.5)
From p-values from z-score table, we have;
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
D) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Thus; x¯ = 85000.
Thus;
z = (85000 - 55000)/11000
z = 2.73
This value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
Anne bought 9m of ribbon.She used 1/3 of it to wrap some presents and gave 1/2m to her sister.How much ribbon Anne have?
Answer:
3 meters of ribbon left
Step-by-step explanation:
Since she used 1/3 of the ribbon. Do the following:
1/3 of 9 (Which equates to):
9/3 = 6 (6 meters of ribbon left)
Now do 1/2 of 6, as she gave her sister 1/2 of the remainder.
1/2 of 6 (Which equates to):
6/2 = 3 (3 meters of ribbon left)
Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?
Answer:
f(x)=x^2+3
[tex]f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1[/tex]
surface area of cylinder
Answer:
The answer is C. [tex]256\pi[/tex] [tex]in^2[/tex].
Step-by-step explanation:
To solve for the surface area of this cylinder, start by using the cylinder surface area formula, which is [tex]SA=2\pi rh+2\pi r^{2}[/tex]. Next, plug in the information given from the problem into the formula, which will look like [tex]SA=(2)(\pi )(8in)(8in)+(2)(\pi )(8in^{2})[/tex]. Then, simplify the equation, which will look like [tex]SA=(128in)(\pi) +(128in)(\pi)[/tex]. The next step is to simplify the equation further, which will look like [tex]SA= 256\pi[/tex] [tex]in^{2}[/tex]. The final answer is [tex]256 \pi[/tex] [tex]in^2[/tex].
Select the correct answer.
Which is the correct simplified form of the expression ?
A.
B.
C.
D.
Answer:
it should be letter b sorry if its wrong
the answer should be choice B
Help with both plz :)
Step-by-step explanation:
Concept Required :-
BODMASBrackets , Of , Division , Multiplication , Addition , Subtraction .
Solution 9:-
We are here given ,
32 ÷ 10 - 8 ÷ 2 -3Putting brackets after and before 10 -8
32 ÷ ( 10 - 8 ) ÷ 2 - 3On simplifying,
32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5Expression :- 32 ÷ (10 -8) ÷ 2 - 3
Solution 10 :-
We are given,
1/2 × 12 ÷ 2 - 2 + 11Putting brackets ,
1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113Expression :- 1/2 × (12 ÷ 2 - 2 ) +11
Step-by-step explanation:
1. 32 ÷ 10 - 8 ÷ 2 - 3
32 ÷ 2 ÷ 2 - 3
16 ÷ 2 - 3
8 - 3
5
2.
½ × 12 + 2 - 2 + 11
6 + 2 - 2 + 11
19 - 2
17
Which expression is equivalent to
(4x2x3)(3x*y)2?
Answer:
48(3xy)
Step-by-step explanation:
(4 * 2 * 3)(3xy)2
24(3xy)2
48(3xy)
Solve the equation.
Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5
Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5
Answer:
- 5
Step-by-step explanation:
Solve for x
4-2(×+7)=3(×+5)
We open the bracket :
4 - 2x - 14 = 3x + 15
Collect like terms
-2x - 3x = 15 + 14 - 4
-5x = 25
Divide both sides by - 5
-5x/-5 = 25 / - 5
x = - 5
Two friends go to a Mexican restaurant for lunch. One friend orders 1 soft taco and
3 burritos and his bill was $8.75. The other friend's bill was $10.00 and he ordered 4
soft tacos and 2 burritos. What is the cost of a taco and what is the cost of a
burrito?
The cost of a taco is:
The cost of a burrito is:
Answer:
cost of a taco: $1.25
cost of a burrito: $2.50
Step-by-step explanation:
Let the cost of a taco be $t and the cost of a burrito be $b.
t +3b= 8.75 -----(1)
4t +2b= 10
Divide both sides by 2:
2t +b= 5
Making b the subject of formula:
b= 5 -2t -----(2)
Substitute (2) into (1):
t +3(5 -2t)= 8.75
Expand:
t +3(5) +3(-2t)= 8.75
t +15 -6t= 8.75
t -6t= 8.75 -15
-5t= -6.25
t= -6.25 ÷(-5)
t= 1.25
Substitute t= 1.25 into (2):
b= 5 -2(1.25)
b= 5 -2.5
b= 2.50
Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.
Simplify -52 + 8|-1| + (-3).
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. Statements Reasons x² + x + b 4ac 4a? b? 4a² Find a common denominator on the right side of the equation a 2a X? + b 2a b? =4ac 4a? Add the fractions together on the right side of the equation a b2 - 4ac x+ Rewrite the perfect square trinomial on the left side of the equation as a binomial squared 2a 4a 2 Take the square root of both sides of the equation Vb -4ac x+ b 2a + 4a b - 4ас X + 2a + 4a 4ac + 2a 4a 1o ano 4a
Answer:
The fourth option.
x + b/2a = +- sqrt((b^2 - 4ac)/(4a^2))
Step-by-step explanation:
whats the perimeter and area of this shape?
Answer:
(4x4) + (6x11) = 82 for area
4+4+10+11+7+6= 42
Step-by-step explanation:
You can calculate this by calculating the two squares separately, and on the bottom line, it is 10, so just subtract 4 to make the rectangle on the right, separate from the square on the left. (for area)
What is the approximate area of the circle shown below?
Answer:
A = 616 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (14)^2
A = pi (196)
Using 3.14 as an approximation for pi
A = 3.14 *196
A =615.44
The nearest approximation is
A = 616 cm^2
Answer:
D 616 cm^2
Step-by-step explanation:
Area = pi r^2
= 14^2 * 3.142
= 615.832
Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake
Answer:
The answer is "94.3".
Step-by-step explanation:
Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]
Calculating the total numbers of ill among them[tex]=50\\\\[/tex]
[tex]\therefore[/tex]
The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]
URGENT
really need help
Answer:
Step-by-step explanation:
.007 = 7 x [tex]10^{-3}[/tex]
.07 = 7 x [tex]10^{-2}[/tex]
7 = 7 x [tex]10^{0}[/tex]
700 = 7 x [tex]10^{2}[/tex]
what is the answer to x if 2x = 7
ITS TIMED HELP!!!
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.
A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.
Answer:
C
Step-by-step explanation:
1: x + y is even. Try it. 3 + 5 = 8. 2x + 1 + 2y + 1 = 2x +2x + 2. That's even no matter what 2 odd numbers you use.
2: xy is again try it 3 * 5 = 15 which is odd. (2x + 1)(2y + 1) = 4xy + 2x + 2y + 1. The first 3 terms are even. The last one is odd. So xy is odd.
3. 9/3 = 3. Three should be true. The numerator is greater than the denominator. And x/y is given as an integer. So the statement should be true.
4. x - y is This can't be right. 2x + 1 - 2y - 1 = 2x + 2y. The result is even.
2 and 3 only
