Answer:
x = 12
Step-by-step explanation:
The diagonals of a rhombus are at right angles to each other , then
∠ 3 = 90° , that is
8x - 6 = 90 ( add 6 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
helppppppppppppppppp
Answer:
1.901
Step-by-step explanation:
Check picture above
WILL MAKE U BRAINLIST! PLS SHOW ALL STEPS! I
Answer:
\(x=-9\\y=-3\)
Step-by-step explanation:
NATIONDETAIL STEPS
Add the two equations: \(2x-y=(2x-4y)=-15=30\)
Remove parentheses: \(2 x - y - 2 x - 4 y = - 15 + 30\)
Cancel one variable: \(- y - 4 y = - 15 + 30\)
Solve the equation: \(y = - 3\)
Substitute into one of the equations: \(2 x - (- 3) = - 15\)
Solve the equation:\(x = - 9\)
The solution of the system is: \(x=-9\\y=-3\)
A rational function in the form axm+.../bxn+... has a slant (oblique) asymptote when ________.
PLEASE HELP
Answer:
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator
Step-by-step explanation:
Elliott Farms has a silo for storage. The silo is a right circular cylinder topped by a right circular cone, both having the same radius. The height of the cone is half the height of the cylinder. The diameter of the base of the silo is 10 meters and the height of the entire silo is 27 meters. What is the volume, in cubic meters, of the silo
the volume of the silo is approximately 11,657.88 cubic meters.
To find the volume of the silo, we need to calculate the volumes of the cylinder and the cone separately, and then add them together.
The radius of the base of the silo is half the diameter, so it's 10 meters / 2 = 5 meters.
The height of the cylinder is given as 27 meters. Since the height of the cone is half the height of the cylinder, the height of the cone is 27 meters / 2 = 13.5 meters.
The volume of a cylinder is calculated using the formula:
Volume of Cylinder = π * radius^2 * height
Plugging in the values, we get:
Volume of Cylinder = π * 5^2 * 27 = 3375π cubic meters (approximately 10,598.07 cubic meters)
The volume of a cone is calculated using the formula:
Volume of Cone = (1/3) * π * radius^2 * height
Plugging in the values, we get:
Volume of Cone = (1/3) * π * 5^2 * 13.5 = 337.5π cubic meters (approximately 1059.81 cubic meters)
Adding the volumes of the cylinder and the cone, we get:
Volume of Silo = 3375π + 337.5π = 3712.5π cubic meters (approximately 11,657.88 cubic meters)
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53 - 180 ? Not sure
Answer:
37
Step-by-step explanation:
Complementary angles together are equal to 90, so it's 90-53=x
you were probably thinking of supplementary angles which are equal to 180 :)
PLEASE HELP I INCLUDED THE PROBLEM IN IMAGE I WROTE IT DOWN!!!
The solution to the inequality (g/20) ≤ 5 is given as follows:
B. g ≤ 100.
How to solve the inequality?The inequality in the context of this problem is defined as follows:
(g/20) ≤ 5.
We solve the inequality similarly to an equality, isolating the desired variable. The difference is that we obtain a range with infinity values, instead of a single value as is the case for an equality.
The multiplication is the inverse operation of the division, hence the solution is given as follows:
g ≤ 20 x 5.
g ≤ 100.
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victonia counts this week's food donations at a pet shelter. There are 16 full cases of canned food. There are 4 cases of canned food that are each missing 5 cans. Victoria records a total of 220 cans of food.
a. Use c to represent the number of cans in a full case. What expression could represent the number of cans in each case that is missing cans?
b. Write an equation you could use to find 16 full cases of canned food 220 cams of food
C. How many cans are in a full case? How many cans are in each of the 4 other cases?
Show your work
Answer:
We know that C is the total number of cans in a complete case.
Victoria counts:
16 full cases, so in those we have: 16*C cans.
4 cases with 5 missing cans, so in those we have:
Then if each case has C cans, the cases that are missing 5 cans have:
C - 5 cans.
Then in those four cases we have a total of: 4*(C - 5) cans.
And Victoria knows that there are 220 cans, then we have that:
16*C + 4*(C - 5) = 220
16*C + 4*C - 20 = 220
16*C + 4*C = 220 + 20 = 240
20*C = 240
C = 240/20 = 12
Then each case has 12 cans.
Then the number of cans in the cases with missing cans is:
12 cans - 5 cans = 7 cans.
Step-by-step explanation:
Hope this helps!!!!!!!! :D
Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?
(Im really sorry I just don't understand ratio.)
Answer:
✑ \( \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : \)
Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = \( \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}\) and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : \( \sf{ \frac{a}{b}} \) is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.
✎ \( \underline{ \underline{ \sf{Now \: let's \: solve : }}}\)
☪ \( \underline{ \sf{Solution}} : \)
£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.
Then , According to the question , \( \text{5x +2x = 21}\)
Solve for x :
⇝ \( \sf{7x = 21}\)
⇝ \( \sf{ \frac{7x}{7} = \frac{21}{7} }\)
⇝ \( \sf{x = 3}\)
The value of x is 3. Now , substitute the value of x in 5x :
Amy received £ 5x = 5 × 3 = £ 15 .
☥ \( \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}\)
Hope I helped ! ツ
Have a wonderful day / night ♡
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HAPPY THANKSGIVING!!
solve 2y + 1 ≤ 7
Answer:
y should be less then or equal to 3
Step-by-step explanation:
happy thanksgiving
Solve the equation x² = 10.
Answer: X= - or + square root of 10
Step-by-step explanation: both negative or positive roots would multiply to be 10
Determine if the two triangles are congruent. If they are, state how you know.
5
6
A) SSS
C) SAS
B) ASA
D AAS
A) Not enough information
B) AAS
C SSS
DASA
Answer:
5.SAS And 6. not enough information
The total marks obtained in a mathematics test was 384 if the mean was 24 how many children took the test
Evaluate
3v + w + 7w - 4v; w = 2 and v = 3
Answer: 13
Step-by-step explanation:
substitute in the numbers
3(3)+2+7(2)-4(3)
9+2+14-12
11+14-12
25-12
13
Answer:
13
Step-by-step explanation:
which statement is correct when we fail to reject the null hypothesis? group of answer choices it means we reject the alternative hypothesis it means we reject the null hypothesis it means we accept the alternative hypothesis
When we fail to reject the null hypothesis, it means we reject the alternative hypothesis.
When we fail to reject the null hypothesis, it means that we do not have enough evidence to support the alternative hypothesis. Another theory implies that there is a significant relationship between the two variables. Whereas, the null hypothesis states that there is no relationship between the two variables. In statistics, we often come across different opinions.
In general, the purpose of alternative hypothesis testing is to show that, under certain conditions, there is sufficient evidence to support the null hypothesis rather than certain test results (null hypothesis). It is often followed as a research hypothesis because it is based on However, research hypotheses sometimes overlap with the null hypothesis. Therefore, it does not necessarily mean that we accept the alternative hypothesis, but rather we simply cannot reject the null hypothesis.
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I need help on this problem!
Answer: its the first one and the one before the last!
Step-by-step explanation: Hope this helps!!!
Answer:
I think the second one
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
c. What is the Z-score for a giraffe that is 18.5 foot tall?
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
f. The 70th percentile for the height of giraffes is ___ ft.
Answer:
Median =17
Step-by-step explanation:
Given that the mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. X is a random variable.
a) X is N(17, 0.9)
b) Median giraffe height = 17 ft since in normal distribution mean = median
c) When x = 18.5, Z = 18.5-17/0.9 = Z= 0.1667
d) P( x < 18) = P( Z < 56)
= 0. 2877
e) P(16.9 < x < 17.9) = P(-0.11 < z < 1) = .0.438 + 0.3413
= 0.3851
f) 75th percentile for z is 0.675
x = 17.9 + 0.9 (0.675)
= 18.5075
What is order of magnitude?
The magnitude of the number of the minutes in the school is 2.
What magnitude is 0 in?Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.
Can a magnitude order be negative?There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).
The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.
On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.
The value storage is where you may find the number into the various magnetic.
As a result, the number of minutes spent in school is 2.
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Complete question -
What is the Order of Magnitude of the number of minutes in a school day?
Pls answer this I WILL MARK THE BRAINLIEST 6TH GRADE LEVEL
Answer:
F
Step-by-step explanation:
Answer:
its F I HOPE THIS HELPS STAY SAFEE
Step-by-step explanation:
a newsletter publisher believes that 58% 58 % of their readers own a personal computer. is there sufficient evidence at the 0.01 0.01 level to refute the publisher's claim? state the null and alternative hypotheses for the above scenario.
The null hypothesis (H₀): p > 0.58
and the alternative hypothesis (\(H_A\)) : p = 0.58
Also there isn't sufficient evidence at the 0.01 level of significance, that is, at a 1% level of significance, to refute the publisher's claim
Let us assume that p defines the population proportion of the publishers who own a personal computer.
Now, to test the claim, 58 % of their readers own a personal computer. (ex. p = 0.58)
This is be an alternative hypothesis and the null hypothesis proportion should be, p > 0.58
Now for this scenario,
the null hypothesis is H₀: p > 0.58
and the alternative hypothesis is \(H_A\): p = 0.58
The newsletter publisher reject the null hypothesis.
Thus, the alternative hypothesis was accepted.
So, we can draw the conclusion: There isn't sufficient evidence at the 0.01 level of significance, that is, at a 1% level of significance, to refute the publisher's claim.
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The complete question is:
A newsletter publisher believes that 58% of their readers own a personal computer. Is there sufficient evidence at the 0.01 level to refute the publisher's claim?
State the null and alternative hypotheses for the above scenario.
HELP MEH PLZZZZZZZZZZ
Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. y²-2x³ = 33; (2,-7). dy/dx =___. The slope of the graph at the given point is____
dy/dx = -12/7. The slope of the graph at the point (2, -7) is -12/7.
To find dy/dx implicitly, we'll differentiate both sides of the equation y² - 2x³ = 33 with respect to x.
Differentiating y² with respect to x using the chain rule, we get:
2y * dy/dx - 6x² = 0
Rearranging this equation, we have:
2y * dy/dx = 6x²
Now we can solve for dy/dx:
dy/dx = (6x²) / (2y)
To find the slope of the graph at the point (2, -7), we substitute x = 2 and y = -7 into the expression for dy/dx:
dy/dx = (6(2)²) / (2(-7))
= 24 / (-14)
= -12/7
Therefore, dy/dx = -12/7. The slope of the graph at the point (2, -7) is -12/7.
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I need help with this question . Please and thank you .
Angle A coincides with angle E.
Angle B coincides with angle D.
Segment AC coincides with segment EF.
Segment AB coincides with segment ED.
What is rigid motion?Any geometric transformation of a euclidean space that keeps the euclidean distance between every pair of points is referred to as a rigid transformation.
Rotations, translations, and reflections are some examples of rigid transformations.
If we observe the given preimage and image we can conclude that the triangle is rotated about 90° counterclockwise.
∴ Points, A = E, B = D , C = F from this we can conclude that
Angle A coincides with angle E.
Angle B coincides with angle D.
Segment AC coincides with segment EF.
Segment AB coincides with segment ED.
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help me answer 2/9 divided by 1/6
1.33333
Step-by-step explanation:
Don't worry it checks out.
Answer:
1.33333333333
Step-by-step explanation:
Which number is a factor of 21 but not a multiple of 3
Answer:
Seven is a factor of 21, but not a multiple of three.
Step-by-step explanation:
21 / 3 = 7
3*2 = 6
3*3 = 9
The seven is a factor of 21, but not a multiple of three.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine whether the number is a factor of 21 but not a
multiple of 3
We need to write 21 as the product of its prime factors, which is 21.
⇒ 21 = 3×7
Here factor 7 is not a multiple of 3
Therefore, the seven is a factor of 21 but not a multiple of 3
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A full waterbed mattress is 8 ft by 3 ft by 2 ft. The mattress is to be filled with water that weighs 62.4 lb ft3. Find the weight of the water in the mattress to the nearest pound.
Answer:
2995
Step-by-step explanation:
volume is 48^3
theres 62.4 pounds per square ft
solve each system by substitution
y=-2x + 7
y = 3x - 13
Answer:
y = -1, x =4
Step-by-step explanation:
3x-`13=-2x+7
x = 4
y=3(4)-13
y = -1
determine the surface area of the pyramid
Answer:
64 in^2.
Step-by-step explanation:
The surface consists of 4 congruent triangles and a square base.
Area of 1 triangle = 1/2 * 4*6 = 12.
Area of the base = 4*4 = 16.
So the required surface area
= 4*12 + 16
= 64 in^2.
two units of length used in ancient egypt were cubits and palms, where 1 11 cubit is equivalent to 7 77 palms. the great sphinx statue in giza is approximately 140 140140 cubits long. which of the following best approximates the length, in palms, of the great sphinx statue?
Two units of length used in ancient Egypt were cubits and palms, where 1 cubit is equivalent to 7 palms. The Great Sphinx statue in Giza is approximately 140 cubits long.
We can convert the length of the Great Sphinx statue from cubits to palms by using the conversion factor given: 1 cubit is equivalent to 7/11 palms.
We know that 1 cubit is equivalent to 7/11 palms. Hence, we can multiply the length of the statue in cubits by the conversion factor to get the length in palms. Therefore:
140 cubits * 7/11 palms = 980/11 palms.
Thus, the length in palms of the Great Sphinx statue is approximately 980/11 palms, which is about 89.09 palms.
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The Great Sphinx of Giza, which is approximately 140 cubits long, would measure approximately 980 palms long, using the conversion of 1 cubit equaling 7 palms.
Explanation:The Great Sphinx in Giza, which measures approximately 140 cubits in length, can be converted to palms using the historical equivalency of 1 cubit totalling approximately 7 palms. Therefore, if you knew that 1 cubit equals 7 palms, to find out how long the Great Sphinx is in palms, you'd multiply the length in cubits (140) by how many palms are in each cubit (7).
140 cubits * 7 palms/cubit equals 980 palms.
Therefore, the Great Sphinx approximates to being 980 palms long.
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A minimum element is deleted from a (min) binary heap with N elements. The running time worst case of this operation is
a. O(N)
b. O(N2)
c. O(logN)
d. O(NlogN)
The running time wοrst case οf deleting a minimum element frοm a (min) binary heap with N elements is O(lοgN). Therefοre, the cοrrect answer is c. O(lοgN).
What happens when deleting minimum element?When deleting the minimum element frοm a binary heap, the heap needs tο be restructured tο maintain its heap prοperty. This restructuring prοcess invοlves mοving elements within the heap and pοtentially swapping elements tο maintain the heap's structure and οrdering.
Since a binary heap is a cοmplete binary tree and has a height οf lοgN, the wοrst-case running time fοr deleting the minimum element is prοpοrtiοnal tο the height οf the heap, which is O(lοgN). This is because the number οf cοmparisοns and swaps required during the restructuring prοcess is dependent οn the height οf the heap.
Therefοre, the cοrrect answer is c. O(lοgN).
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Expand The Function Into A Given Power Series With Center C = 0 And Determine The Interval Of Convergence:
A: f(x) = 1 / (1-3x)
B: f(x) = 1 / (16 + 2x^3)
A: The power series expansion of f(x) = 1 / (1-3x) with center c = 0 is Σ \((3^n)x^n\), where n starts from 0. The interval of convergence is (-1/3, 1/3), which can be determined using the ratio test.
B: The power series expansion of f(x) = 1 / (16 + \(2x^3\)) with center c = 0 is Σ \((-1)^n (x^3)^n / 16^(n+1)\), where n starts from 0. The interval of convergence can be determined using the ratio test. The limit as n approaches infinity of the absolute value of the ratio of the \((n+1)th\) term to the nth term is \(|x^3/16|\), which is less than 1 when |x| is less than or equal to the cube root of 16. Therefore, the interval of convergence is (-2, 2).
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