Answer: x =104
Step-by-step explanation:
If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.
Assume that a medical research study found a correlation of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer. This could be interpreted to mean:
a. the more vitamin A consumed, the lower a person's chances are of getting this type of cancer
b. the more vitamin A consumed, the higher a person's chances are of getting this type of cancer
c. vitamin A causes this type of cancer
The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.
A correlation coefficient measures the strength and direction of the linear relationship between two variables.
In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.
Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.
However, it is important to note that correlation does not imply causation.
It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.
Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.
To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.
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PLEASE HELP ME!! The 7th grade has already saved $60 for a field trip to Hershey Park. They need to raise at least$720 in order to pay for the trip. They decide to sell T-shirts to raise money. They earn $12toward the trip for every T-shirt they sell.Write the inequality that represents this situationHow many T-shirts must they sell to eam at least $720? Show how you determined your answer
We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.
They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.
Then, 12x has to be at least equal to 720-60=660:
\(12x\ge660\)Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:
\(\begin{gathered} 12x\ge660 \\ \frac{12}{12}x\ge\frac{660}{12} \\ x\ge55 \end{gathered}\)They have to sell at least 55 T-shirts.
Select all the expressions that are equivalent to the following calculation add 43 and 25 then multiply by 8.
Answer:544
Step-by-step explanation:43 + 25 = 68
68 × 8 = 544
What is the most precise name for quadrilateral ABCD with vertices A(−5, 2), B(−3, 6), C(6, 6), and D(4, 2)?
rectangle
rhombus
parallelogram
quadrilateral
The most precise name for ABCD with vertices A(−5, 2), B(−3, 6), C(6, 6), and D(4, 2) is quadrilateral.
The given quadrilateral ABCD can be classified as a trapezoid. By definition, a trapezoid is a quadrilateral with at least one pair of parallel sides. In this case, sides AB and CD are parallel, which satisfies the definition of a trapezoid.
Furthermore, based on the given coordinates of the vertices, we can see that sides AC and BD are equal in length. An isosceles trapezoid is a special case of a trapezoid in which the non-parallel sides are congruent. Therefore, quadrilateral ABCD can also be classified as an isosceles trapezoid.
To summarize, the most precise name for quadrilateral ABCD is a trapezoid, and more specifically, an isosceles trapezoid.
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Answer:
parallelogram
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
(Check photo above)
C.44 is the the correct to the question a net of a triangular prism is shown below 8ft 3ft 5ft 5ft 3ft 4ft A.120 B.96 C.44 D.108
The formula V = s3 give the volume V of a cube with side length s.
Answer:
8 inches cubed
Step-by-step explanation:
We get the formula in the task description:
V = s^3
The next sentence tells us s = 2in, so:
V = (2in)^3 = 8in^3
Answer:
8
Step-by-step explanation:
Formula: V = s³
Substitute: V = 2³
2³ = 2 · 2 · 2
Solve: V = 8
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?
Answer:
You would need to add the picture in order to get an answer
The wholesale price for a dozen pairs of socks is $4.30. The retail price for the same dozen pairs of socks is $9.25. What is the mark-up the retailer used? Write your answer as a complete sentence.
Answer:
the mark up used by the retailer is 115.12% of the wholesale price
Step-by-step explanation:
Mark-up is the percentage increase of the retail price over the wholesale price
Mark-up = (difference between retail and whole sale price / retail price ) x 100
difference between retail and whole sale price = $9.25 - $4.30 = $4.95
(4.95 / 4.3) x 100 = 115.12%.
when the increase in demand is greater than the decrease in supply, the equilibrium price _____ and the equilibrium quantity _____.
Answer:
increasedeacreasesWhen the increase in demand is greater than the decrease in supply, the equilibrium price rises and the equilibrium quantity increases.
What is economic equilibrium?
Economic equilibrium, as used in economics, is a state in which forces such as supply and demand are in balance and where, in the absence of external influences, the values of economic variables will remain constant.
The equilibrium quantity rises if the rise in demand outweighs the fall in supply. The equilibrium quantity falls if the rise in demand is smaller than the fall in supply. Equilibrium price rises in each scenario.
The supply and demand curves move in opposition to one another. However, the supply curve shifted to the left while the demand curve shifted to the right (signalling a rise in demand) (indicating a decrease in supply).
In the case increase in demand > decrease in supply
In this instance, the supply curve's leftward movement is proportionally less than the rightward change of the demand curve. So, the price and the equilibrium quantity both increase.
Therefore, the equilibrium price and quantity increases.
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I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer: They are related by the AAS postulate and they can be proven congruent.
Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.
I hope I helped! :)
The measure of each interior angle of a regular polygon is 24 more than 38 times the measure of each exterior angle. Find the number of sides of the polygon.
Answer:
90 sides
Step-by-step explanation:
180–24 = 156. This needs dividing in the ratio 1:38 so the exterior angle is 156/39= 4°
The number of sides = 360/4 = 90
Someone help with my homework
Answer:
The correct answer is C.
Step-by-step explanation:
Because ONE gallon is equal to 33.5 miles, all you have to do is multiply 33.5 by 15.1 to get the number of miles 15.1 gallons holds.
33.5 * 15.1 = 505.85
Therefore, C is the correct answer.
The other answer to this problem is:
John got the wrong answer because he didn't place the decimal point in 15.1. This means he multiplied 151 by 33.5, which is how he got his answer.
How do you think the Tang Dynasty was able to keep control of their government?
What is the value of the expression 6z2+2z+10 when z=3?
Hi there! Hope this helps, and if it does, please mark brainliest!
Answer:
346
Step-by-step explanation:
6z2+2z+10
(6 x 3)^2 + 2 x 3 + 10
18^2 + 12 + 10
324 + 22
346
What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
and a base diameter of 16 centimeters? Round to the nearest tenths place
Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V = \(\pi\)r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V = \(\pi\)r²h
V = \(\pi\)(8)²(8)
V = \(\pi\)(64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³
Everyone loved Caroline’s cookies so much that they ate them all! She wants to make some more to eat at home, but would only like to make 1 dozen cookies. How much of each ingredient will she need? Rewrite the recipe so that it will only make 1 dozen cookies. Show your work
Original cookie recipe =
1 1/2 cups of peanut butter
1 cup of vegetable shortening
2 1/2 cups packed light brown sugar
6 tablespoons of milk
5 1/2 teaspoon vanilla extract
2 large eggs
3 cups of flour
1 1/2 teaspoon of baking soda
1/2 teaspoon of salt
The recipe that will only make 1 dozen cookies is as follows:
.18 cups of peanut butter
.12 cups of vegetable shortening
.30 cups packed light brown sugar
.72 tablespoons of milk
.66 teaspoon vanilla extract
.24 large eggs
.36 cups of flour
.18 teaspoons of baking soda
.6 teaspoons of salt.
What is a cookie recipe?This refers to the ingredients for baking a snack or dessert.
From the question:
Original cookie recipe =
1 1/2 cups of peanut butter
1 cup of vegetable shortening
2 1/2 cups packed light brown sugar
6 tablespoons of milk
5 1/2 teaspoon vanilla extract
2 large eggs
3 cups of flour
1 1/2 teaspoons of baking soda
1/2 teaspoon of salt
Note: 1 dozen= 12
The recipe that will only make 1 dozen cookies will be = Original cookie recipe * 12
1 1/2 cups of peanut butter * 12 =
3/2 *12= 18
1 cup of vegetable shortening *12
1 * 12 = 12
2 1/2 cups packed light brown sugar * 12
3/2 * 18 = 30
6 tablespoons of milk *12
6 * 12 = 72
5 1/2 teaspoon vanilla extract * 12
11/2 *12 = 66
2 large eggs * 12
2*12 = 24
3 cups of flour *12
3*12 = 36
1 1/2 teaspoons of baking soda * 12
3/2 *12 = 18
1/2 teaspoon of salt * 12
1/2 * 12= 6
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the courthouse is the tallest building in the city. if it is 7 1/2 inches tall in the model, how tall is the actual building?
the scale of the model is 1 inch = 9 feet
Answer:67.6
Step-by-step explanation:
I'm doing my homework and I forgot how to do these
Answer:
9 - 15/2
10 - 9
11 - 16/3
12 - 5/6
Step-by-step explanation:
what year was someone born in if they turned 17 on February 12th of this year?
2003?? or 2004
bit confused tho cz my friend is 17 n her birthday is on feb 10th
The range of some numbers is 5.
What happens to the range if the numbers are increased by 3?
Answer:
the range does not change
Step-by-step explanation:
The range in the difference between the greatest and the smallest numbers.
If all numbers are increased by 3, the difference between the greatest and the smallest remains the same, so the range remains the same.
Answer: the range does not change
If the numbers are increased by 3, the range remains unchanged i.e. 5
How to determine the range?Assume the smallest and the largest numbers are x and y.
So, the range is:
R = y - x
When the numbers are increased by 3, the smallest and the largest numbers become x + 3 and y + 3
So, the range is:
R = y + 3 - x - 3
Evaluate the sum
R = y - x
Notice that the expression for range in both scenarios are the same.
Hence, if the numbers are increased by 3, the range remains the same
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Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
4
Step-by-step explanation:
a tree t with 50 end-vertices has an equal number of vertices of degree 2, 3, 4 and 5 and no vertices of degree greater than 5. what is the order of t?
The order of T is 82.
Let n and e be the order and number of edges of T respectively.
Also, let a, b, c and d be the number of vertices of degree 2, 3, 4 and 5 respectively.
Then, 50+a+b+c+d = n
And by the Handshake Lemma, the sum of the degrees of all the vertices of T is twice the number of edges, so we have
50+2a+3b+4c+5d = 2e
Since a=b=c=d then we have the following two equations,
50+4a = n
50+14a = 2e
But, T is a tree so e=n=1, then the two equations become,
50+4a = n ...............(1)
50+14a = 2(n-1) .............(2)
Solving for a in (1) we get,
a = \(\frac{n-50}{4}\)
Plugging a into (2) we get,
50+14(\(\frac{n-50}{4}\)) = 2(n-1)
50+3.5n-175 = 2n-2
3.5n-2n = 175-50-2
1.5n = 123
n = \(\frac{123}{1.5}\) = 82
Therefore, the order of T is 82.
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Evaluate the expression 4 � 2 4x 2 4, x, squared for � = 3 x=3x, equals, 3
The value of the given expression \(\frac{4}{2^{4x^{2} -4} }\) for the mentioned equation is calculated to be 9.3132257 x 10⁻⁸.
\(\frac{4}{2^{4x^{2} -4} }\), where x is equal to 3x, and k½ is equal to 3. This linerar equality can be evaluated as below.
= \(\frac{4}{2^{4(3x)^{2} -4} }\) [Substituting x=3x and k½=3]
= \(\frac{4}{2^{4(9x)^{2} -4} }\)
= \(\frac{4}{2^{36x^{2} -4} }\)
= \(\frac{4}{2^{(6x)^{2} -2^{2} } }\)
= 4 ÷ 2³⁶⁻⁴
= 4 ÷ 2³²
= 4 ÷ 4294967296
= 9.3132257 x 10⁻⁸
Therefore, the value of the expression \(\frac{4}{2^{4x^{2} -4} }\), where x is equal to 3x, and k½ is equal to the square root of 3 " is evaluated out to be approximately 9.3132257 x 10⁻⁸.
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The correct question is :
What is the value of the expression \(\frac{4}{2^{4x^{2} -4} }\), where x is equal to 3x, and k½ is equal to the square root of 3?
a chart that compares three set of values in a three-dimensional chart is _____.
A chart that compares three sets of values in a three-dimension chart is called surface.
A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.
A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.
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Can anyone plz solve this question step by step ASAP!
Answer:
40√3 cm²Step-by-step explanation:
Step 1
Find the height:
h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3Step 2
Find the area:
A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²I WILL GIVE BRAINLIEST THIS IS EASY PLS HELP ASAP
Match each term with its definition.
Perpendicular lines?
Angle?
Line segment?
Parallel lines?
Circles?
Ah bg de cf
Step-by-step explanation:
i think thats how you do it becuse i did that
Adrian bought a car worth $12000 on 36 easy installments of $375. Answer the following questions. (1) How much total amount did Adrian pay in 36 months? Answer: Total payment A = $ (2) Identify the letters used in the simple interest formula I = Prt. I= $ P= $ and t years. (3) Find the rate of interest in percentage. Answer: r %. ASK YOUR TEACHER
3) since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.
(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:
Total payment A = Monthly installment * Number of installments
= $375 * 36
= $13,500
Therefore, Adrian paid a total of $13,500 over the course of 36 months.
(2) In the simple interest formula I = Prt, the letters used represent the following variables:
I: Interest (the amount of interest paid)
P: Principal (the initial amount, or in this case, the car worth)
r: Rate of interest (expressed as a decimal)
t: Time (in years)
(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:
r = (I / Pt) * 100
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PERSEVERE Find the values of x and y,
y² = 8y - 15 (alternate angles are equal)
y² - 8y + 15 = 0
(y - 5)(y - 3) = 0
y = 5 or 3
x + 8y - 15 = 180 (angles in a straight line add up to 180)
when y = 5
x + 40 - 15 = 180
x = 155°
when y = 3
x + 24 - 15 = 180
x = 171°
What should be done to these equations in order to solve a system of equations by elimination?
I- 3x + 2y = 16
12x + 5y = 21
Choose one correct answer:
Multiply the first equation by 2 and the second equation by 3.
Multiply the first equation by 3.
O Nothing needs to be done, since they both equal have 2's and 3's for coefficients.
O Multiply the first equation by
3 and the second equations by 2
Answer:
B is the correct answer
Step-by-step explanation:
Since it gets rid of the y so you could find the x and then work around to find the Y.
Answer:
Multiply the first equation by 3.
Step-by-step explanation:
15 POINTs_ NEED ASAP!
Tell whether the following statements are true or false, explain the reasoning.
Answer:
Step-by-step explanation:
1 TRUE
A number is always 100% Anyting bigger than 100% is going to be a bigger number
Anything smaller than 100% is a smaller number
2FALSE 5/100 = 0.05 and NOT 0.5
0.5% is the same as thalf of 100% = 50%
50/100 = 5/10 = 0.5