Read the word problem.
Caryn buys 3 bottles of juice. Kip buys 2 bottles of juice. Kip’s mother buys twice as many bottles of juice as Caryn and Kip combined. How many bottles of juice did Kip’s mother buy?
Which type of word problem is shown?
part-whole
comparison
multiplication
division
What is the least degree of a polynomial equation that has 3i as a root with a multiplicity of 3?
Which point lies in the plane represented by the equation 2x + 7y + 3z = -25?
(–3, 3, –2)
(–6, –4, 5)
(6, 1, –3)
(6, 1, 2)
The point which satisfy the equation 2x + 7y + 3z = -25 will be (–6, –4, 5). The correct option is C.
What is an equation of plane?The equation of the plane is defined as the plane has three variables. Having the coordinates in all three dimensions. The general form of the equation of the plane is ax + by + cz = d.
The given equation of plane is 2x + 7y + 3z = -25.
Check the point which satisfies the equation of the plane. Take the point ( -6,-4,5).
2x + 7y + 3z = -25.
2 ( -6 ) + 7(-4) + 3(5) = -25
-12 - 28 + 15 = -25
-40 + 15 = -25
-25 = -25
Therefore, the point which satisfy the equation 2x + 7y + 3z = -25 will be (–6, –4, 5). The correct option is C.
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A. -6
B. 6
C. 12
D. -12
is a hope i helped you wlcome
CAN SOMEONE HELP ME WITH THESE QUESTIONS PLEASE!?
Answer:
Step-by-step explanation:
1.
[tex](c+9)^2=64=8^2\\[/tex]
c+9=±8
either c=8-9=-1
c=-8-9=-17
so c=-1,-17
D
2.
8x^2-3=2
8x^2=5
[tex]x^2=\frac{5}{8}=\frac{10}{16}[/tex]
[tex]x=±\frac{\sqrt{10}}{4}[/tex]
so A
3.
[tex]x^2+4x+4=18\\(x+2)^2=9*2\\x+2=3\sqrt{2} \\x=-2 ±3\sqrt{2}[/tex]
so D
or
Body temperatures are normally distributed with a mean of 98.6° f and a standard deviation of 0.19° f. what temperature represents the 95th percentile?
To find the temperature that represents the 95th percentile, calculate the z-score using the given formula and substitute the values in the equation. Using a standard normal distribution table, the temperature is approximately 98.93°F.
Explanation:To find the temperature that represents the 95th percentile, we need to calculate the z-score corresponding to the 95th percentile.
The z-score can be calculated using the formula: z = (x - μ) / σ, where x is the temperature, μ is the mean, and σ is the standard deviation. In this case, μ = 98.6°F and σ = 0.19°F.
By looking up the z-score in the standard normal distribution table, we can find the corresponding temperature.
Using a standard normal distribution table, we find that the z-score for the 95th percentile is approximately 1.645. Substituting the values into the formula, we get: 1.645 = (x - 98.6) / 0.19.
Solving for x, we find x ≈ 98.6 + (1.645 * 0.19) ≈ 98.9295°F.
Therefore, the temperature that represents the 95th percentile is approximately 98.93°F.
4. decide which of the following sports can be the most beneficial in achieving cardiovascular fitness . ( 1point )
A . soccer
b. baseball
c. football
d. golf
find the LA, SA, and volume of a triangular prism with a hypotenuse of 12m, short leg of 5m, and height of prism of 5m
To find the lateral area, surface area, and volume of a triangular prism, use the Pythagorean theorem to find the missing leg, then calculate the triangular base area, lateral area, and volume, and finally add the triangular base areas to the lateral area for the surface area.
Explanation:Finding the Lateral Area, Surface Area, and Volume of a Triangular Prism
To find the lateral area (LA), surface area (SA), and volume of a triangular prism with a given hypotenuse, short leg, and height of the prism, we will follow these steps:
Determine the length of the other leg of the right-angled triangle using the Pythagorean theorem (since the triangular face is a right triangle given the hypotenuse and one leg).
Calculate the area of the triangular base using the formula for the area of a triangle (1/2 × base × height).
Compute the lateral area by multiplying the perimeter of the triangular base by the height of the prism.
Add the areas of the two triangular bases to the lateral area to get the surface area.
Find the volume by multiplying the area of the triangular base by the height of the prism.
Since the short leg is 5 m and the hypotenuse is 12 m, the other leg (long leg) can be found as √(12² - 5²) = √(144 - 25) = √119 m. The area of the triangular base (A) is then 1/2 × 5 m × √119 m. The perimeter (P) of the triangular base is 5 m + 12 m + √119 m. The lateral area is P × height of prism (5 m), and the surface area is LA + 2 × A. Lastly, the volume is A × height of prism (5 m).
what is the missing number in the synthetic division problem below?
(everything in picture)
In the given problem , missing number in the synthetic division is equal to [tex]10[/tex].
What is synthetic division?" Synthetic division is defined as simplified way of dividing a polynomial by another polynomial of first degree by writing its coefficient and changing usual subtraction into addition."
According to the question,
As shown in the given synthetic division,
[tex]4 + 20 = 24\\\\-2 + 6 = 4[/tex]
Therefore,
Missing number in the given synthetic division [tex]= 2+ 8[/tex]
[tex]=10[/tex]
Hence, Option (C) is the correct answer.
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Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and three inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]
3 feet
6 feet
8 feet
10 feet
Answer:
Option C is the correct answer.
Step-by-step explanation:
Volume = Length x Breadth x Height
Length = 10 feet = 3.33 yard
Height = 3 inches = 0.25 feet = 0.0833 yard
The price of concrete is $98 per cubic yard and total cost is $72.59.
[tex]\texttt{Total concrete needed = }\frac{72.59}{98}=0.74yard^3[/tex]
We have
Volume = Length x Breadth x Height = 0.74
3.33 x Width x 0.0833 = 0.74
Width = 2.67 yards = 2.67 x 3 = 8 feet
Option C is the correct answer.
BRAINLIEST ANSWER RN!!!!!!! HELP ME PLZZ!!!!!
A cylinder tube with caps on both ends is used to safely carry a rolled up poster. The tube is 42 inches tall with a radius of 1.5 inches. If one mini can of spray paint covers 150 square inches, how many mini spray cans of red paint would be needed to cover the entire tube?
A. 3
B. 2
C. 1
D. 4
helpppppppppppppppppppppp
describe the relationship of input and output values for composite functions?
The average length of the eight words Betty was asked to spell was 9 letters. The first seven words had the following lengths: 8 letters, 9 letters, 6 letters, 10 letters, 7 letters, 9 letters, and 11 letters. What was the length of the eighth word?
A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma. The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime. What is the problem with reporting results this way?
Missing data
Correlation and causality
Answer:
Step-by-step explanation:
Given that a study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma.
The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime.
Only means should not be compared. variances of each sample should be ascertained and test for comparison of two means to be done to conclude that one mean is greater than the other.
Hence here problem is correlation and causality.
Find an angle between 0 and 2π that is coterminal with 27 pi/10
∆ABC has the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices.
The measure of the longest side of ∆ABC is ______ units. ∆ABC is_____ triangle.
If ∆ABD is formed with the point D(1, 2) as its third vertex, then ∆ABD is _____ triangle. The length of side AD is ______ units.
1.
B.29^(1/2) .
C.34^(1/2)
D.6
2.
A.equlaterial
B.isoclese
C.right
D.scalene
3.
A.equilateral
B.right isosceles
C.right scalene
D.non-right isosceles
E.non-right scalene
4.
A.3
B.5
C.8
D.10
The measure of the longest side of ∆ABC is 6 units. ∆ABC is a right scalene triangle. ∆ABD is also a right scalene triangle and the length of side AD is 5 units.
The measure of the longest side of ∆ABC can be found using the distance formula.
We calculate the distance between points A(1, 7) and B(-2, 2), between points B(-2, 2) and C(4, 2), and between points A(1, 7) and C(4, 2).
The longest distance is the measure of the longest side.
Using the distance formula, we find that the longest side is 6 units long.
∆ABC is a right scalene triangle.
This is because the lengths of its sides are all different and it has a right angle at point C, where the x-coordinate doesn't change but the y-coordinate does.
∆ABD is also a right scalene triangle.
The length of side AD can be found using the distance formula between points A(1, 7) and D(1, 2).
The length of side AD is 5 units.
Overdraft protection means the bank will loan you the money needed to cover the check that cannot be covered by funds in the account. True or false ASAP HELP PLEASE
True. Overdraft protection is a service offered by banks to their customers. When your account does not have enough money to cover a transaction, overdraft protection allows the bank to loan you the necessary funds to complete the transaction.
If you make a purchase or withdrawal that exceeds your account balance, the bank will cover the shortfall by lending you the needed amount. This ensures the transaction goes through, but typically comes with fees or interest. While convenient, it can lead to extra costs if used frequently.
Overdraft protection may apply to debit card purchases, checks, or automatic bill payments, depending on the account settings. Some banks offer this service automatically, while others require customers to opt in. It's a useful safety net but should be used responsibly to avoid accumulating unnecessary charges.
Please help!
Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that both cards are spades? Are these events independent?
A. 1/17: no, they are dependent events
B. 1/16: yes, they are independent events
C. 25/52: yes, they are independent events
D. 3/52: no, they are dependent events
Keisha is solving the equation 7^x=9.
Write an equation that shows the first step she should take.
(logarithms)
draw a number line from 0 to 2 write 3\8 1 and 3\4 and 1.25 on the number line,
Solve for z. 7-~-3z+2=4 What is the root? If there is no root, choose none.
Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3
7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~
Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little werid, just plug (7/3) in for z and you will get 4, trust me
The root of the given equation 7-[tex]\sqrt{3z+2}[/tex] = 4 is z = 7/3
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, an equation 7-[tex]\sqrt{3z+2}[/tex] = 4
Solving for z,
7-[tex]\sqrt{3z+2}[/tex] = 4
[tex]\sqrt{3z+2}[/tex] = 3
Squaring both sides,
3z + 2 = 9
3z = 9-2
3z = 7
z = 7/3
Hence, the root of the given equation 7-[tex]\sqrt{3z+2}[/tex] = 4 is z = 7/3
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Professionals typically order 10% more than calculated. If w represents the minimum number of whole boxes needed, what expression represents the number of boxes they would order?
Suppose an investment of $2,300 doubles in value every decade. The function gives the value of the investment after x decades. f(x)=2300*2^x How much is the investment worth after 2 decades?
(1 point)$2,355,200
$92,000
$46,000
$9,200
The investment is worth $9,200 after 2 decades.
Explanation:To find the value of the investment after 2 decades, we can substitute x = 2 into the function f(x) = 2300 * 2^x.
So, f(2) = 2300 * 2^2 = 2300 * 4 = 9200.
Therefore, the investment is worth $9,200 after 2 decades.
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What is the number of pi?
Pi is a very special number in math and it’s so special that it even gets its own symbol. Mathematicians found out that when you try to write down what pi is, the decimal points keep going and going. This means that it’s impossible to find all the digits of pi.
I will only write down some digits.
π = 3.1415926535897932384626
A lab is conducting a test to see if people prefer chocolate A or chocolate B. The steps in the test are outlined below: Step 1. Recruit one hundred volunteers and tell them the purpose of the study. Step 2. Give them chocolate A and ask them to rate the flavor. Step 3. Give them chocolate B and ask them to tell how delicious it is. Step 4. Reveal which chocolate they preferred. Which step could lead to biased results?
Answer:
Step 3
Step-by-step explanation:
By asking the participants how delicious chocolate B is, you can possibly create bias in the test. It is a leading question; these should not be asked to avoid creating bias.
Fred is a weightlifter who can lift 800 pounds on 45% of his attempts. which of these expressions represents the probability fred will make 30 lifts out of 60?
A license plate is to consist of 4 digits followed by 2 uppercase letters. determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted.
There are [tex]728000[/tex] possibilities of different licence plates.
The License plate is consist of [tex]4[/tex] digits followed by [tex]2[/tex] uppercase letters, i,e,
We have [tex]6[/tex] digits so let's first check the choices of letter or digits over that.
Consider [tex]1[/tex]st Digit , according so question it should be odd so the choices we have for [tex]1[/tex]st Digits are [tex]1,3,5,7,9[/tex] i.e, [tex]5[/tex] choices we have as repitition not allowed.
Now consider [tex]2[/tex]nd Digit , according so question it should be odd so the choices we have for [tex]2[/tex]nd Digits are [tex]4[/tex] because [tex]1[/tex] odd digits has been used in [tex]1[/tex]st Digit.
[tex]3rd[/tex] digit - [tex]2[/tex] digits has been used in [tex]1[/tex]st and [tex]2[/tex]nd digits so [tex]8[/tex] choices left.
[tex]4th[/tex] digit - This is left with [tex]7[/tex] choices.
[tex]5th[/tex]- On this [tex]2[/tex] uppercase letters required so choices we have are [tex]26[/tex].
[tex]6th[/tex]- On this we have to use uppercase so [tex]25[/tex] choices are left as repitition not allowed.
So Possibility of different license [tex]5 \times 4\times\times 8\times 7\times26\times 25=728000[/tex]
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In the triangle below, 4/5 represents which ratio?
Simpson has a rectangular fish aquarium that measures 31 inches long, 13 inches wide, and is 28 inches deep. If Simpson wanted to put a protective covering on the four glass walls of the aquarium, how much covering does he need?
The dimensions of the rectangular fish aquarium are:
length = 31 inches, width = 13 inches and depth = 28 inches
If Simpson covers all the four glass walls of the aquarium.
We have to determine the covering he needs.
So, Covering required for four walls of the aquarium
= [tex]2(lh+bh)[/tex]
= [tex]2( (31 \times 28)+ (13 \times 28))[/tex]
= [tex]2( (868)+ (364))[/tex]
= [tex]2 \times 1232[/tex]
= 2464 square inches
So, Simpson needs 2464 square inches of covering to cover all the four glass walls of the aquarium.