Answer:
6
Step-by-step explanation:
-1^2-3(5)+20
1-15+20
1+5
6
hopes this helps
Will give u brainliest!
Answer:6 is the correct answer
Step-by-step explanation:
Because 16 + 20 equals 36 and the sq root of 36 is 6. So you chose the correct answer.
Answer:
6
Step-by-step explanation:
[tex]\sqrt{16+20}[/tex]
[tex]\sqrt{36}[/tex]
6
Complete the statement. 48 cm = mm
Answer:
48cm = 480mm
Step-by-step explanation:
1cm = 10mm
48cm = 48 X 10 mm
48cm = 480mm
Answer:
480mm
When converting from cm to mm, multiply by 10.
48 x 10 = 480
the length of a rectangle is increasing at the rate of 6 \text{ cm/s}6 cm/s, and its width is increasing at a rate of 2 \text{ cm/s}2 cm/s. when the length is 40 \text{ cm}40 cm and the width is 15 \text{ cm}15 cm, how fast is the area of the rectangle increasing?
The rectangle's area is growing at a rate of 170 cm per second.
Given that,
Area of Rectangle given by.
A = length x width
A = LW
L =length of Rectangle
W =width of Rectangle
Now, dA/dt = W dl/dt + l dw/dt
dA/dt is the rate of change of area of the rectangle
dl/dt is the rate of change of length of the rectangle
dw/dt is the rate of change of width of the rectangle
at L = 40cm, W= 15 cm
dw = 2 cm/s,
dl = 6 cm/s,
dA = ?
dA/dt = W dl/dt + l dw/dt
= 15x6 + 40x2
= 90 +80
=170 cm /sec
Thus, the area of the rectangle increasing at 170 cm /sec
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Help with this please (ASAP)
the sum of emma's age and her sister's age is 48 years. emma's age is 6 years less than twice her sister's age. what is emma's age, and what is her sister's age?
Which of the following statements is true?
25 : 35 = 45 :55 =
105 : 30 = 49 : 64 =
45 : 48 = 60 : 64 =
2/3 : 7/9 = 3/4 : 5/6 =
4.2 : 12.6 = 1.5 : 4.5 =
12 : 18 = 28 : 12 =
Answer:
3
Step-by-step explanation:
45*64=2880
48*60=2880
What is 4.2x + 5.5y= 38
I hope this helps!
42x +55y =380
f(x)=x^2. which of these is g(x)?
please help!
Answer: C
Step-by-step explanation:
g(5)=1
Given: ΔABC Prove: The sum of the interior angle measures of ΔABC is 180°. Statement Reason 1. Let points A, B, and C form a triangle. Given 2. Let be a line passing through B, parallel to , with angles as labeled. Defining a parallel line and labeling angles 3. 4. M∠1 = m∠4, and m∠3 = m∠5. Congruent angles have equal measures. 5. M∠4 + m∠2 + m∠5 = 180° angle addition and definition of a straight angle 6. M∠1 + m∠2 + m∠3 = 180° substitution What is the missing step in this proof? A. Statement: ∠4 ≅ ∠5, and ∠1 ≅ ∠3. Reason: Alternate Interior Angles Theorem B. Statement: is parallel to. Reason: is a transversal cutting and. C. Statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5. Reason: Alternate Interior Angles Theorem D. Statement: ∠1 ≅ ∠4, and ∠3 ≅ ∠5. Reason: ∠1 and ∠4, and ∠3 and ∠5 are pairs of supplementary angles
From the given statements regarding angle the point b) DE is parallel to AC with its reason - AB is a transversal cutting DE and AC will be the correct statement.
DE and AC are parallel for this to work angle 1 is at A, angle 2 is at B and angle 3 is at C. In addition, angle 4 is the alternate interior angle to angle 1 once DE is constructed, as is angle 5 to angle 3. Then the missing reasons are alternate interior angles theorem and definition of congruent angles.
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a 61 mg of a vaccine is given to a patient to prevent measles. the vaccine leaves the body at a rate of 6.1% per hour. define a function g that gives the mass of the vaccine remaining in the body, v, in terms of the number of hours, n since the vaccine was administered. how much of the vaccine remains in the body 24 hours after it was administered? mg use your graphing calculator to determine how many hours passed before there were only 5mg of the vaccine remaining in the body.
The linear equation that represent the amount vaccine that remain is g = 61 - 0.061n. The vaccine remains in the body 24 hours after it was administered 59.536 mg. There were only 5mg of the vaccine remaining in the body after 918.033 hours.
What is rate?
A rate is a unique ratio where the two words are expressed in several units.
Given that the amount of vaccine is 61 mg.
The vaccine leaves the body at a rate of 6.1% per hour.
After 1 hour the body will consume 6.1% = 6.1/100 = 0.061 mg.
After n hour the body will consume 6.1%× n = 0.061n mg.
The remaining amount of vaccine is (61 - 0.061n).
The required linear equation that represent the remaining amount of vaccine is g = 61 - 0.061n.
Putting n =24 in the equation:
g = 61 - 0.061×24
g = 59.536 mg
The vaccine remains in the body 24 hours after it was administered 59.536 mg.
The graph represents that there were only 5mg of the vaccine remaining in the body after 918.033 hours.
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Can anyone write the equation of the graph?
The absolute value function y = |x - 3| + 5 generates the representation set on Cartesian plane.
What equation is behind a given graph?
In this question we need to determine the equation behind a representation set on a Cartesian plane. After a quick inspection, we find that the representation shows an absolute value function of the form:
y = |x - a| + b
Where:
a - Horizontal translation factor.b - Vertical translation factor.Based on all the given facts, the primitive absolute value function (f'(x) = |x|) is translated horizontally 3 units in the +x direction and vertically 5 units in the +y direction. If we know that a = 3 and b = 5, then we find the absolute value function y = |x - 3| + 5, whose representation is shown below.
In a nutshell, the representation comes from the absolute value function y = |x - 3| + 5.
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As the sample size increases, the standard deviation of the sampling distribution.
False, As the sample size is increased, the standard deviation of a sampling distribution of the sample's mean drops.
The term "standard error" also refers to the sample mean's standard deviation. The high dimensionality theorem establishes that as sample size increases, the sample mean's sampling distribution becomes more or less normal.
Using the formula below, the sample mean's standard deviation is determined.
σ ÷ √n
where n is the sample size and would be the population standard deviation.
As the denominator, or n, increases, the standard variance of the sample average would also decrease, as shown by the aforementioned calculation.
It follows that the standard deviation of a sample's average decreases as the sample size grows.
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Suppose that y varies directly with .x, and y=-8 when x=2.
(a) Write a direct variation equation that relates x and y.
Equation:
(b) Find y when x = 5.
OC
Answer:
A. y = -4x
B. y = 20
Step-by-step explanation:
A. y = xk
Where k is constant
Substitute y for -8 and x for 2
-8 = 2k
Divide both sides by 2
-8/2 = 2k/2
-4 = k
k = -4
y = x(-4)
y = -4x
B. y when x = 5
y = 5(-4)
y = 20
What is the amount of M
42 is value of ∠JNM because ∠JNM & ∠KNL are vertically opposite angles.
What is vertically opposite angles?
Angles that are opposite one another at a certain vertex and are produced by two straight lines intersecting are known as vertically opposite angles. Angles that are vertically opposed are equal to one another. These are also known as vertical angles.∠JNM = ∠KNL
4x + 6 = 7x - 21
7x - 4x = 21 + 6
3x = 27
x = 27/3
x = 9
∠JNM = 4 * 9 + 6 = 36 + 6
∠JNM = 42
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Matilda walks from a castle's tower to its drawbridge by heading 624 m due
east and then heading due south.
The straight-line distance from the tower to the drawbridge is 927 m.
Work out the bearing of the drawbridge from the tower.
Give your answer to the nearest degree.
Answer:
138° (nearest degree)
Step-by-step explanation:
Bearing: The angle (in degrees) measured clockwise from north.
The given scenario can be modelled as a right triangle (see attachment).
Therefore, the bearing is 90° + θ (shown in green on the attached diagram).
To find angle θ, use the cosine trigonometric ratio:
[tex]\implies \cos{\theta}=\dfrac{A}{H}[/tex]
[tex]\implies \cos{\theta}=\dfrac{624}{927}[/tex]
[tex]\implies \theta=\cos^{-1}\left(\dfrac{624}{927}\right)[/tex]
[tex]\implies \theta=47.69018863...[/tex]
[tex]\implies \theta=48^{\circ}\; \; \sf (nearest\;degree)[/tex]
Therefore, the bearing of the drawbridge from the tower is:
[tex]\begin{aligned}\implies \sf Bearing&=90^{\circ}+\theta\\&=90^{\circ}+48^{\circ}\\&=138^{\circ} \end{aligned}[/tex]
Answer:
The bearing of the drawbridge from the tower is 138° SE-----------------------------
The segments that are formed by Matilda walking from the tower to drawbridge form a right triangleHorizontal leg = 624 m,Hypotenuse = 927 m.Find the angle x between the two segmentscosine = adjacent / hypotenusecos x = 624/927x = arccos (624/927)x = 48° (rounded to the whole degree)Find the bearing of the drawbridge from the towerAdd 90° to the angle measure we just found, since bearing is counted from the north direction:
48° + 90° = 138° SEIs there any evidence to prove m and n are parallel
What is 2/3 plus 4/8 equal to please let me know and please explain, and this is 5th grade.
5th grade
Answer: 7/6
Step-by-step explanation:
Ok so first we must take these fractions and make them have a common denominator. The best way to do this is to take 2/3 and multiply the numerator and denominator by 8 giving us 16/24. Next take 4/8 and multiply the numerator and denominator by 3 giving us 12/24. Now we have both a common denominator. Now we add the numerators of both (16+12) to get 28/24 but now we have an improper fraction divide the numerator and denominator by 4 to get us 7/6.
Hope this Helps :)
1. A recipe for salad dressing calls for three parts oil for every one part vinegar. How many tablespoons of vinegar are needed to make 1/2 cup of salad dressing?
Answer: The answer is 8
Step-by-step explanation: 16 tablespoon is 1 cup now find half of 16. Half of 16 is 8. So 8 tablespoon should be equal 1/2 cup
The cost of a jacket j after a 5% markup can be represented
by the expression j+0.05j. Simplify the expression. Then
determine the total cost of the jacket after the markup, if
the original price is $35.
2: The probability of a $2 winner in a particular state lottery is 1 in 10, the probability of a $5 winner is 1
in 50, and the probability of a $10 winner is 1 in 500.
a) What is the probability of getting either a $2, or $5, or $10 winner?
b) What is the probability of getting a $2 winner?
c) If you buy 50 lottery tickets, what is the probability that you will get at least one $5 winner?
d) If you buy 500 lottery tickets, what is the probability that you will get at least one $10 winner? B
The probability of each event will be
a. 0.122
b. 0.1
c. 0.64
d. 0.63
Probability of a $2 winner is 1 in 10
Probability of a $5 winner is 1 in 50
Probability of a $10 winner is 1 in 500
The formula to find probability is
1. no. of favorable outcomes / total no. of favorable outcomes
OR
2. P(A) = n(A)/n(S)
where
P(A) is the probability of an event “A”
n(A) is the number of favorable outcomes
n(S) is the total number of events in the sample space
Now we will use formula to find probability of different events happening
a. To find the probability of getting either a $2, or $5, or $10 winner we
will find probability of $2 , $5 and $10 and add them together.
1/10 + 1/50 + 1/500 = 0.122
b. The probability of getting a $2 winner will be
1/10 = 0.1
c. The probability of getting no $5 winner is (49/50)^50 = 0.36
So the probability of getting $5 winner will be 1 - 0.37 = 0.64
d. The probability of getting no $10 winner is (499/500)^500 = 0.37
And we can take probability of total no. of outcomes as 1.
So the probability of getting $10 winner will be 1 - 0.37 = 0.63
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there are 150 women who belong to a health club. The rest of the club members are men.3/5 of the members are men. How many members belong to the gym?
Answer:
3/5x 150
= 450/5
= 90
150+90
= 240 ans
XY is an angle bisector of ΔAXN. Find the length of side XN
The length of XN is 6
What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector. The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.Calculation
By angle bisector theorem
[tex]\frac{AX}{NX} =\frac{AY}{NY}[/tex]
[tex]\frac{18}{NX} =\frac{12}{4}[/tex]
[tex]NX=\frac{18*4}{12} =6[/tex]
Therefore, the length of side NX in the given triangle is 6.
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The length of side NX in the given triangle is 6.
What is the angle bisector theorem?According to the triangle angle bisector theorem, any angle in a triangle will divide the opposite side in a ratio equal to the ratio of the sides that contain the angle.A line or ray that divides an angle in a triangle into two equal parts is known as an angle bisector.The two fundamental characteristics of an angle bisector are that each point on it is equally spaced from its sides and that it divides the opposite side of a triangle in proportion to its adjacent sides, which is known as the triangle's angle bisector property.By angle bisector theorem
According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures
Therefore, the length of side NX in the given triangle is 6.
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please help will give you brainliest
Answer:
(9, 7)
Step-by-step explanation:
You want the coordinates of the image of point (9, -7) after it has been reflected across the x-axis.
ReflectionThe image point will be as far above the x-axis as the original point is below the x-axis. The y-coordinate of -7 tells you the point is 7 units below the x-axis. The reflected point will be 7 units above the x-axis, so will have a y-coordinate of +7.
The image coordinates are (9, 7).
__
Additional comment
Reflection across the x-axis changes the sign of the y-coordinate.
Reflection across the y-axis changes the sign of the x-coordinate.
Question 4 (10 points)
(02.07 MC)
The figure shows triangle PQR and line segment AB, which is parallel to QR:
Triangle PQR has a point A on side PQ and point B on side PR. The line AB is parallel to the line QR.
Part A: Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points)
Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)
Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)
The location of the points A and B on side PQ and PR, and the information that segment AB is parallel to QR indicates;
Part A: Triangle ΔPQR is similar to ΔPAB by AA similarity postulate
Part B: The line segment on triangle ΔPAB that corresponds to line segment QR is segment AB
Part C: The angle on triangle ΔPAB that corresponds to angle ∠Q is angle ∠A
What makes two triangles similar?Two triangles are similar if two angles in one triangle are congruent to two angles in the other triangleThe lengths of all three sides of one triangle that is similar to other another triangle are proportional to the three sides of the other triangleTwo triangles are similar if two sides of on triangle are proportional to two sides of the other or second triangle and if the included angle between the two sides are congruent.Please find attached the drawing of triangles ΔPQR and ΔPAB created with MS Word
The in formation in the question are;
Line [tex]\overline{AB}{[/tex] is parallel to [tex]\overline{QR}[/tex], [tex]\left(\overline{AB} \parallel \overline{QR}\right)[/tex]
ΔPQR and ΔPAB overlap
Part A: Angle ∠PQR is congruent to angle ∠PAB (corresponding angles to parallel lines having a common transversal)
∠PRQ is congruent to ∠PBA (Corresponding angles formed by a common transversal to parallel lines)
ΔPQA is similar to ΔPAB (Angle-Angle, AA similarity postulate)
Part B: Corresponding sides of triangles are located on the same relative position within the triangle
Segment QR is the included segment to ∠PQR and ∠PRQ, which are each congruent to ∠PAB and ∠PBA, respectively in ΔPAB and segment AB is the included side to ∠PAB and ∠PBA, therefore, the line segment on triangle ΔPAB that corresponds to line segment QR is segment AB
Part C: Angle ∠Q on triangle ΔPQR is adjacent to segment QR on the right and angle ∠P on the left, while angle ∠A is adjacent segment AB on the right and ∠P on the right, segment AB in ΔPAB corresponds to segment QR on triangle ΔPQR, therefore, by the relative position of angle ∠A on triangle ΔPAB, it is the angle that corresponds to angle ∠Q
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What is the distance between (−1, 4) and (5, 4)?
Draw a line connecting the points. This is a
line.
The points have the same
.
To find the distance, use the expression
.
The distance between the points is
units.
The distance between points (-1, 4) and (5, 4) is 6 units.
Distance between two pointsFrom the question, we are to determine the distance between two points.
The given points are (-1, 4) and (5, 4)
Using the formula for calculating the distance between two points
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
From the given information,
x₁ = -1
x₂ = 5
y₁ = 5
y₂ = 4
Put the parameters into the equation
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(5 - (-1))² + (4 - 4)²]
d = √[(5 + 1)² + 0²]
d = √(6²)
d = 6 units
Hence, the distance is 6 units.
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Answer:
Step-by-step explanation: The distance between two points can be calculated using the formula:
d = √ ((x2 – x1)² + (y2 – y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the two points are (-1, 4) and (5, 4). Therefore:
d = √ ((5 - (-1))² + (4 - 4)²)
d = √ (6² + 0²)
d = √36
d = 6
Therefore, the distance between (-1, 4) and (5, 4) is 6 units.
I hope that helps! Let me know if you have any other questions!
c=0.325g+p ,solve for g
Solving for g in the equation g = (c - p)/0.325
What is an equation?An equation is a mathematical expression that show the relationship between two variables.
How to solve for g in the given equation?Since we are given the equation c = 0.325g + p, we desire to make g subject of the formula.
To do this, we perform some mathematical operations on it.
So, c = 0.325g + p
Now, to isolate 0.325g on the right hand side, we subtract p from both sides of then equation.
So, c = 0.325g + p
c - p = 0.325g + p - p
c - p = 0.325g
Now to isolate g, we divide both sides of the equation by 0.325. So, we have
c - p = 0.325g
(c - p)/0.325 = 0.325g/0.325
g = (c - p)/0.325
So, we have g = (c - p)/0.325
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Suppose that a recent poll of american households about pet ownership found that for households with pets, 45% owned a dog, 34% owned a cat, and 10% owned a bird. Suppose that three households are selected randomly and with replacement and the ownership is mutually exclusive. 25) what is the probability that all three randomly selected households own a dog? (round to the nearest hundredth)
There is a 0.091125 probability that all three randomly chosen houses have dogs.
In light of this, imagine that a recent survey of American homes regarding pet ownership revealed that 45% of households with pets were dog-owning, 34% were cat-owning, and 10% were bird-owning households.
• Three families are chosen at random, replaced, and with mutually exclusive ownership.
The calculation of probability is as follows based on the facts above:
=0.43^3
= 0.091125
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Sam has had five quizzes so far in his class. His average score is 74%. He
scored a 99% on his sixth quiz. What is his average now? Round to a whole
number.
Sam's average score based on the six quizzes is 78%.
What is the average?The average is the mean, a central tendency value.
We compute the mean by summing the values of a data set and dividing by the number of items in the collection.
In this situation, the average of 5 quizzes multiplied by 5 gives the total score in the 5 quizzes, which resulted in the average score.
This total is added to the score in the sixth quiz to get the total score for the six examinations before dividing the sum by 6, giving the overall average.
The average score in 5 quizzes = 74%
Total score in the 5 quizzes = 370% (74 x 5)
The score on the sixth quiz = 99%
Total score in six quizzes = 469% (370 + 99)
The average score in the 6 quizzes = 78.167% (469/6)
= 78%
Thus, Sam scored an average of 78% on the six tests.
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Point B is graphed on the coordinate plane. Which ordered pair represents point B?
help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The object has fallen [tex] \boxed{\sf 289} [/tex] feet from ts intial position.
Step-by-step Explanation:
Given:
Formula:
[tex] \rm v = \sqrt{2gh} [/tex]
Where,
v = velocity (in feet per second)
h = Height fallen (in feet)
g = acceleration due gravity (in feet per second squared) = approximately 32 ft/s²
To find:
How far an object has fallen if its velocity (v) is 136 ft/s
Solution:
By substituting the value of g & v in the formula we get:
[tex]\rm \implies 136 = \sqrt{2 \times 32 \times h} \\ \\ \rm \implies 136 = \sqrt{64h} \\ \\ \rm \implies 64h = {136}^{2} \\ \\ \rm \implies h = \dfrac{ {136}^{2} }{64} \\ \\ \rm \implies h = \dfrac{18496}{64} \\ \\ \rm \implies h = 289 \: ft[/tex]