Answer:
smaller r =-21
larger r =-7
The vertex of the parabola is at
(-14,-49)
Write the following number in scientific notation: 0.0003005
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10.
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
A circle with center H is shown in the figure below
the difference between the measure of two supplementary angles is 92. find the measure of both angles.
The measure of both angles on calculation is found to be 44° and 136° respectively.
What are supplementary angles ?
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.
Given : difference between the measure of two supplementary angles is 92 .
Let the two angles be x and y then , x - y = 92
Since , supplementary angles add up to 180 degrees
x + y = 180 (say 1)
x - y = 92(say 2)
---------------add(1 & 2)
2x = 272
x = 272/2
x = 136 <=== this is one angle
x + y = 180
136 + y = 180
y = 180 - 136
y = 44 <=== this is the other angle
Hence , the measure of both angles on calculation is found to be 44° and 136° respectively.
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Find the standard form of the equation of the line through (8,-3) that is parallel to the line 3y=4x+8
The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41
How to represent equation in standard form?The equation of the line in standard form can be represented as follows:
Ax + By = C
where
A, B and C are constantTherefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;
Parallel lines have the same slope.
Hence,
3y = 4x + 8
y = 4 / 3 x + 8 / 3
The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.
y = 4 / 3 x + b
-3 = 4 / 3 (8) + b
b = -3 - 32 / 3
b = -9 - 32/ 3
b = -41 / 3
Hence,
y = 4 / 3 x - 41 / 3
multiply through by 3
3y = 4x - 41
Therefore, the standard form is 4x - 3y = 41
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Consider 4x + 12 ≤ 28. Which value of x makes the given inequality TRUE?
Responses
A 1010
B 77
C 33
D 6
We know that,
Inequality-
In mathematics, the relationship between two expressions or values that are not equal is called an inequality.
Group terms with the same variable and move the constant to the other side of the inequality
What causes inequality?
Inequality image result
The main factors behind the widening domestic income inequality mentioned in the literature include technological progress, globalization, commodity price cycles, and domestic economic policies such as redistributive fiscal policies, labor and product market policies. It is included.
According to the question,
Given data in the question,
4x + 12 ≤ 28
Substrating (28-12)=16
We can say that,
4x ≤ 16
16 divided by 4.
Therefore,
(16/4)=
x<4
the value of x is less than 4,
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3 is the value of x which makes the given inequality true.
What is Inequality?A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers. To represent various types of inequalities, a variety of notations are used:
A < B, such as a, denotes that an is greater than b.
A > B indicates that an is greater than b.
A and b are not equivalent in either scenario. As a result, an is strictly less than or strictly greater than b, and these relationships are referred to as strict inequalities. Equivalence is disregarded.
According to the question,
Given data in the question,
4x + 12 ≤ 28
Substrating (28-12)=16
We can say that,
4x ≤ 16
16 divided by 4.
Therefore,
(16/4)=
x<4
the value of x is less than 4,
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I need help with this.
Answer:
8/17
Step-by-step explanation:
You want the ratio of 32 mm to 6.8 cm, compared in mm.
RatioThe ratio of interest is ...
(32 mm)/(6.8 cm) = (32 mm)/(68 mm) = (4·8)/(4·17) . . . . . mm cancels
= 8/17
The ratio of ball diameters is 8/17.
f ( x ) = ( x − 2 ) ( x + 4 ) ( x + 5 ) ( x − 1 ) ( x − 9 ) has zeros at x = -5, x = -4, x = 1, x = 2, x = 9
What is the sign of F on the interval -4 < x < 1?
The sign of F on the interval -4<x<1 is 0
How to do substitution in a function?We know that in mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
The given function is
f(x)=(x-2)(x+4)(x+5)(x-1)(x-9)
The Interval is given as -4<x<1
Substituting the values of x in the function we have
f(x)=(-5-2)(-4+4)(1+5)(2-1)(9-9)
This implies that
f(x)=(0)(0)(6)(1)(0)
Multiplying the brackets to have
f(x)=0
In conclusion, the sign of F on the interval -4<x<1 is 0
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Select the correct answer from each drop-down menu. Consider the equation below. − 2 ( 5 x + 8 ) = 14 + 6 x The equation was solved using the following steps. Step 1: − 10 x − 16 = 14 + 6 x Step 2: − 16 x − 16 = 14 Step 3: − 16 x = 30 Step 4: x = 30 − 16 Step 5: x = − 15 8 Complete the statements below with the process used to achieve steps 1-4. Step 1: -2 to 5x and 8. Step 2: 6x. Step 3: 16. Step 4: -16.
Answer:
x = -1.875
Step-by-step explanation:
-2 (5x + 8) = 14 + 6x
-10x - 16 = 14 + 6x
-16x = 30
x = 30/-16
x = -1.875
Help!!! It doesn’t give the isosceles congruent angles??
Answer: y = 11 , x =3
Step-by-step explanation:
Since its an isosceles triangle , two angles or two side are equal.
So lets take 5y - 3 as one of the equal angles, so
5y-3+ 5y-3 + 76 = 180 (angles in a triangles should add up to 180)
10y - 6 + 76 = 180
10y = 180 - 70
10y =110
y = 110/10
y = 11
Now, since we found y we need to find x.
Lets us take 8x and 13x - 15 as the equal sides.
8x = 13x - 15
8x - 13x = -15
-5x = -15
x = -15 / -5
x = 3
so we found the values of x and y !
Answer:
x = 3y = 11Step-by-step explanation:
You want the values of x and y, given an isosceles triangle with congruent sides JK=8x and KL=13x-15, angle K=76°, and angle J=(5y-3)°.
Congruent sidesJK = KL
8x = 13x -15
15 = 5x . . . . . . add 15-8x
3 = x . . . . . divide by 5
Sum of anglesThe sum of the angles in the triangle is 180°.
2(∠J) +∠K = 180°
2(5y -3) +76 = 180 . . . . substitute known values, divide by °
10y +70 = 180 . . . . . . simplify
y +7 = 18 . . . . . . . . divide by 10
y = 11 . . . . . . . . . subtract 7
The values of x and y are 3 and 11, respectively.
Determine how many ounces are in 15 liters. Show every step of your work
pls help
Answer:
15 liter = 507.210848 Fluid Ounces
because 1 liter = 33.8140565 so you do 33.8140565 x 15 = 507.210848
mark me brainliest
hope this helps you
Step-by-step explanation:
Use the scale to help you solve the equation and find the value of x. Enter the
value of x below.
x+ 6 = 12
X =
Answer:
x=6
Step-by-step explanation:
12-6=6 or 6+6=12
Describe the graph of proportional relationship represented by the equation Y equals eight minus 5X
The description of the proportional relationship represented by the equation y = 8 - 5x is A. The graph is a line that goes through points (0, 8) and ( 4, -12 ).
How to describe the graph ?The graph is given in the form of a linear equation which is y = mx + b. In this equation, b is the y - intercept, or the point the line crosses the y - axis when x is 0. This point on y = 8 - 5x, is 8.
If the line passes through the x axis at point 4, then the y - intercept would be :
= 8 - 5 ( 4)
= 8 - 20
= - 12
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Options for this question are:
The graph is a line that goes through points (0, 8) and ( 4, -12 ).The graph is a line that goes through points (0, 5) and (15, 2).The graph is a line that goes through points (0, 4) and (12 , 1).The graph is a line that goes through points (0, 5) and (1, 12 ).Convert 32/5 to a mixed number. Step-by-step explanation.
Answer:
Step-by-step explanation:
First think about how many times 5 goes into 32. That would be 6 times since 6*5 is 30.
Now we just have the 2 from the 32 left over. The two will be put on top of the 5 from 32/5 so it will be 2/5
Put the two together and it would be 6 and 2/5
the daily info newspaper charges a fee of $650 plus $80 per week to run an ad. the peoples paper charges $145 per week. for how many weeks will the total cost at the peoples paper be less expensive
The total cost at the peoples paper be less expensive will represent by the inequality 650 + 80w < 145w.
What is inequality?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given that the daily info newspaper charges a fee of $650 plus $80 per week to run an ad.
Assume that after w weeks the total cost at the peoples paper be less expensive.
To run ad. for w week, the cost will be 80w.
The total cost of material of newspaper is p(w) = 650 + 80w
The peoples paper charges $145 per week.
The peoples paper charges after w week will be f(w) = 145w.
According to the question:
p(w) < f(w)
650 + 80w < 145w
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which of the following best describes why you might want to add both l1 and l2 regularizers to an ordinary least squares linear regression model
L1 (Ridge Regression) regularization is better than L2( Lasso regression). A regularization term two general types of regularization L1 and L2 regularization is added to solve the overfitting problem.
Let's use a linear regression formula for this explanation, y = mx + c
This is the simplest formula, so if there is only one feature, this is the formula. But in the real world, we rarely deal with just one feature. Most of the time we have multiple functions.
y = m₁ x₁ + m₂x₂ + ----+ mₙxₙ
To create simpler (sparse) models when the dataset has a large number of features, here are some of the regularization techniques used to correct overfitting and feature selection. A regression model that uses the L1 regularization method is called a Lasso regression. Lasso regression (least absolute shrinkage and selection operator) is Add "absolute size".
∑(Yᵢ ) - ∑Xᵢβⱼ)² + λ ∑|βⱼ|
Models using L2 are called ridge regression Ridge Regression adds the "squared magnitude" of the coefficients as a penalty term to the loss function. where the highlighted part represents the L2 regularization factor and the cost function
∑(Yᵢ - ∑Xᵢβⱼ )² + λ ∑β²
The L1 regularization is more robust than the L2 regularization for fairly obvious reasons. Since we take the weights squared, the cost of outliers present in the data increases exponentially. L1 regularization takes the absolute value of the weights, so the cost increases only linearly. Both L1 and L2 can add cost penalties depending on the complexity of the model, so when calculating the cost using the loss function, an auxiliary component called the regularization term adds complexity to the model. Added for segmentation.
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how can you divide polynomials
Polynomials can be divided using long division method and
synthetic division method.
What is a polynomial?
Algebraic expressions which are made up of coefficients and variables are called polynomials.
For example x + 3, 3y² -10, r³, t³ + 4t³ - 80, etc.
Polynomials can be classified as monomials, binomials and trinomials based upon the number of terms present.
According to the given question:
There are two methods that can be employed while dividing two given polynomials:
1. Long Division Method
The long division method is the most frequent and general method for dividing polynomials by binomials or any other form of polynomials.
Steps:
Step 1: Divide the dividend’s first term by the divisor’s first term, and use it as the quotient’s first term.
Step 2: Multiply the divisor, then place the product beneath the dividend
Step 3: To make a new polynomial, subtract.
Step 4: Use the new polynomial obtained after subtraction to repeat the operation.
2. Synthetic Division Method
It is a technique for dividing a polynomial by a linear binomial using only the coefficient values. We write the polynomials in standard form from the greatest degree term to the lowest degree term in this manner.
Steps:
Step 1: Ensure that the divisor is in the form of x − k.
Step 2: Write the dividend coefficients on the right and k on the left to set up the division.
Step 3: Now, reduce the coefficient of the dividend’s highest degree term to zero.
Step 4: Multiply k by that leading coefficient and write the product below the second coefficient on the dividend’s left side.
Step 5: Multiply the numbers in the second column.
Step 6: Multiply k by the number obtained in step 5 and write the result in the next column to the right.
Step 7: Finally, we’ll write the final solution, which will be one degree below the dividend.
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Which graph represents the solution set of the system of inequalities?
Answer:
Step-by-step explanation:
A researcher performs six independent hypothesis tests each at the 5% significance level. Determine the probability of observing at most two Type Errors. (Round your final answer to the nearest hundredth of a percent, e.g., 12.63% Rounding counts
At the 5% significance level, a researcher conducts six separate hypothesis tests. the likelihood of finding two or fewer Type Errors.
What is the 5 step process in statistics?Declare your null and alternate hypotheses in Step 1. Data collection is step two. Perform a statistical test in step three. In step four, you must choose whether to reject or not to reject your null hypothesis. Deliver your results in Step 5. Five steps make up the statistical process: design the study, assemble the data, Analyze the data, draw conclusions, and take action. In a planned experiment, the variables are under the researchers' control.
Utilizing sample data, hypothesis testing is a method used to determine whether a hypothesis is tenable. The test offers proof that, given the available data, the hypothesis is plausible. By measuring and reviewing a representative sample of the population under study, statistical analysts can evaluate a theory.Procedures for testing hypotheses Identifying the null hypothesis is the first step.
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What’s greater, 9 or 9.1?
Answer:
9.1
Step-by-step explanation:
9.1 would be greater because it is basically 9 + 0.1.
Using the order of operations, which operation in the
expression 3×2-2³ ÷ 4 should be completed first?
A) Multiply 3 and 2.
B) Divide 2^3 by 4
C) Cube 2.
D)
Subtract 2^3 from 2.
Answer:
C) Cube 2.
Step-by-step explanation:
Cubing 2 means to take 3 as an exponent of 2.
Parantheses
Exponents ==> 2³
Multiplication ==> 3*2
Division ==> 2³ ÷ 4
Addition
Subtraction ==> 2-2³
In PEMDAS, Exponents is the second highest priority in an equation, so it comes first in 3×2-2³ ÷ 4 as there is no parantheses.
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A local little league has a total of 70 players, of whom 40% are right-handed. How many
right-handed players are there? HELP
The number of right-handed players in the local little league given its percentage is 28
How many right-handed players are there?Based on the given task content; the number of right-handed players there can be determined by solving the percentage of right-handed players.
Total number of players in the local little league = 70Percentage of right-handed players = 40%Number of right-handed players = Percentage of right-handed players × Total number of players in the local little league
= 40% × 70
= 40/100 × 70
= 0.4 × 70
= 28
In conclusion, the total number of right-handed players is 28
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The dosage of a certain medication is determined by a patient's body weight. This medication's dosage is 2.5 mg per kilogram of body weight. What would be the dose for a patient who weighs 72 pounds? (1 lb = 0.453 kg) (Doses are rounded to the nearest 25 mg.)
Show work please
Answer:
75 mg
Step-by-step explanation:
You want the dose for a 72 pound person at the rate of 2.5 mg/kg.
Unit conversionWe multiply by conversion factors that cancel unwanted units, leaving the units we want.
At the end of the unit conversion, we need to determine if the calculated dose is closer to 75 mg or 100 mg. It is less than 87.5 mg, so is closer to 75 mg.
[tex]\dfrac{2.5\text{ mg}}{\text{kg}}\times(72\text{ lb})\times\dfrac{0.453\text{ kg}}{\text{lb}}=2.5\times72\times0.453\text{ mg}\approx81.54\text{ mg}\\\\\approx\boxed{75\text{ mg}}[/tex]
__
Additional comment
We found the nearest 25 mg dose by dividing by 25 mg, and rounding the 3.26 dose result to 3 doses of 25 mg each.
8x10^-5
help pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
.00008
Step-by-step explanation:
8x10^-5 = .00008
Your moving the dot over 5 times to the left since its negative. If it was postive you wold move the dot 5 times to the right
Answer: 0.00008
Step-by-step explanation: Yes, I know there are A LOT of zeros. So, to find this answer, you would rewrite the answer like this:
- 8*10^(-5)
So, here's a little trick, you multiply 8 by 10, to get 80. Then, since it is -5, you move 5 decimal places to the LEFT. This is why there are so many zeros. I hope this explanation helped!
a quadrilateral has vertices (2,0), (0,-2), (-2,4) and (-4,2) which special quadrilateral is formed by connecting the midpoints of the sides a. kite
b. rectangle
c. trapezoid
b. rhombus
The quadrilateral that has vertices (2,0), (0,-2), (-2,4) and (-4,2) is option
b. rectangle
Why is it a rectangle?To determine the special quadrilateral that is formed by connecting the midpoints of the sides of the quadrilateral with vertices (2,0), (0,-2), (-2,4) and (-4,2), we can find the midpoints of each side and then determine the shape formed by these points.
The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment. To find the midpoint of a line segment, we can take the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.
We can find the midpoint of the side between (2,0) and (0,-2) by taking the average of the x-coordinates (2 and 0) and the average of the y-coordinates (0 and -2), which gives us the point (1,-1).
We can find the midpoint of the side between (0,-2) and (-2,4) by taking the average of the x-coordinates (0 and -2) and the average of the y-coordinates (-2 and 4), which gives us the point (-1,1).
We can find the midpoint of the side between (-2,4) and (-4,2) by taking the average of the x-coordinates (-2 and -4) and the average of the y-coordinates (4 and 2), which gives us the point (-3,3).
We can find the midpoint of the side between (-4,2) and (2,0) by taking the average of the x-coordinates (-4 and 2) and the average of the y-coordinates (2 and 0), which gives us the point (-1,1).
Therefore, the special quadrilateral formed by connecting the midpoints of the sides of the given quadrilateral is a rectangle.
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A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months
An ordinary bend is a ringer molded bend that gives probabilities of irregular factors taken in a nonstop conveyance. The z score formula is used to standardize the random variables into a z score.
Using the z score formula and the z table, standardize the value of x and use it to denote the cellphone's lifetime in months.
For what reason is likelihood region under typical bend?The area under the probability density function curve in a given range is the probability that a continuous random variable fall within a given range. Because the value of a random variable must be in the sample space, the total area under the curve for any pdf is always 1.
What is the absolute likelihood under the ordinary circulation bend?A continuous probability distribution is the normal distribution. Probability is affected in multiple ways by this. 1 is the total area under the normal curve. A normal random variable X has a 0 chance of matching any given value.
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Full Question = A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable.
If you invest $4064 in an account that pays simple interest of 7% How much interest will you have earned after 6 years?
Answer:
You would have $6055.36 in 7 years.
Step-by-step explanation:
find the distance between the points (-9.3 , 6.7) and (-9.3, -5.5)
Answer:
0, -12
Step-by-step explanation:
Here is an equation: 2x+4 y-31=123
1. Solve for x.
x=
2. Solve for y.
y=
X=77
y=77by 2
answer is complete
A barrel of U.S. oil is 42 gallons. How many liters is this? Round off to the nearest whole number. Note: 1 gallon = 4 quarts. Strategy: you must convert from gallons quarts liters. Use two conversion factors ( 1 gallon = 4 quarts )
Answer:
158 liters.
Step-by-step explanation:
G=gallons
L=Liters
Q=Quarts
42G * 4Q = 168Q
1Q = 3.785L
3.785L * 42G = 158L or another way is to go by the formula is by dividing the volume value by 1.057:
168Q divide by 1.057 = 158
Try it
Using a Grid to Estimate Perimeter
Estimate the perimeter of the figure if each block on the
grid is 1 square unit.
The perimeter of the figure is about
units.
The Perimeter of of the Figure is shown below.
What is Scale factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.
Gives:
We have area of each small square is 1 sq cm.
So, We have three grids a
For figure (i) there are 11 small square
So, Perimeter of the given figure =( 18 ×1)cm
=18 cm
For figure (ii) there are 13
Perimeter of the given figure =(28×1)cm
=28 cm
For figure (iii) there are 13
Perimeter of the given figure =(28×1)cm=28 cm.
=28 cm
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