Answers
Related Questions
Michael invested a total of $14,000 in two certificates of deposit. One pays 5% interest,
and the other pays 6% interest. His total interest at the end of one year is $780. How
much is invested in the CD that pays 5% interest?
Answers
Answer:
6000=5%
8000=other CD
Step-by-step explanation:
Solve the inequality. Graph the solution.
3x≤−5/4
The solution is
Answers
The resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.Use the following steps to solve an inequality: Step 1 Eliminate fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the integers on the other by adding or subtracting quantities.So, solve the inequality as:
3x ≤ −5/4x ≤ −5/4-3x ≤ -5/4 × 1/3x ≤ -5/12Now, plot x ≤ -5/12 on the graph as follows:
(Refer to the graph attached below)Therefore, the resultant answer to the given inequality is x ≤ -5/12 and the graph of the answer is shown.
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Review the graph. On a coordinate plane, a vector has origin (6, 2) and terminal point (0, 4). What is the component form and magnitude of the vector shown? LeftAngleBracket negative 2, 7 RightAngleBracket and StartRoot 53 EndRoot LeftAngleBracket negative 2, 7 RightAngleBracket and 53 LeftAngleBracket negative 7, 2 RightAngleBracket and StartRoot 53 EndRoot LeftAngleBracket negative 7, 2 RightAngleBracket and 53
Answers
Answer:
I think C
Step-by-step explanation:
The component form and magnitude of the vector is < -6, -2>, √ 40, the correct option is A.
What is a Vector?A vector is a quantity that needs both magnitude and direction for its representation.
A vector has origin (6, 2) and terminal point (0, 4).
The component of vectors is determined by the formula
<x,y> = < (x₂- x₁ ) , (y₂-y₁)>
<x,y> = < (0-6), (4-2)>
<x,y> = < -6, -2>
The magnitude of the vector is determined by
\(\rm |v| = \sqrt{x^2 +y^2\)
|v| = √ 40
The correct options are
LeftAngleBracket negative 6, 2 RightAngleBracket and StartRoot 40 EndRoot LeftAngleBracket negative 6, 7 RightAngleBracket and 40 LeftAngleBracket negative 2,6 RightAngleBracket and StartRoot 47 EndRoot LeftAngleBracket negative 2, 6 RightAngleBracket and StartRoot 40
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The Department of Health plans to test the lead level in a public park. The park will be closed if the average lead level exceeds the allowed limit of 400 parts/million, otherwise, the park will be kept open. The department conducts the test using soil samples gathered at randomly selected locations in the park. You work for the Department of Health and your concern is for public safety and overall health of communities In this situation, would you make alpha or beta as low as possible and why? Beta. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't. Beta. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't safe.
Answers
The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.
This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.
As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.
On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.
Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.
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Select the statement that explains the relationship between 8,700 and 870.
Answers
Answer:
8,700 is ten times 870.
Step-by-step explanation:
The ratio of the lengths of the two legs of a right triangle is 3:4
(a) Find the length of each leg when the length of the hypotenuse
is the given measure. (b) Find the area of the triangle.
d. 100 cm
a. 10 cm
b. 20 cm
c. 25 cm
Answers
Greetings from Brasil...
Check Attachment!!!
According to the statement of the question, we have:
a/b = 3/4
Note that according to the attached figure, b > a, then the correct proportion will be a to 3, as well as b to 4, because b > a and 4 > 3
Isolating a and b:
a = 3b/4
b = 4a/3
From Pythagoras:
h² = a² + b² - as a = 3b/4 and b = 4a/3, so
b = 4h/5a = 6h/5For Area:
A = b.a/2
as b = 4h/5 and a = 6h/5, so
A = 12h/25
what is the solution set for the inequality 5-3k>35
Answers
Answer:
k<-10
Step-by-step explanation:
-3k+5>35
-3k+5-5>35-5
simplifica la expresión
k<-10
Determine whether the given value is from a discrete or continuous data set. when a truck is randomly selected, it is found to have a length of 20 feet.
Answers
The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.
The given value, "a truck with a length of 20 feet," is an example of a continuous data set.
Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.
In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).
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Distance 32 km; Time 20 minutes; Speed ? ___ kpm *
Answers
Answer:
56kmp
Step-by-step explanation:
That is all I know.
Answer:
1.6 kpm
Step-by-step explanation:
(32km)/(20min) = 1.6 km/min or kpm
help please 50 points!! Solve the equations and see if its true
-1/4 + 3/4a= -7/4a-1
Answers
\(\\ \rm\rightarrowtail -1/4+3/4a=-7/4a-1\)
\(\\ \rm\rightarrowtail (3/4+7/4)a=-1+1/4\)
\(\\ \rm\rightarrowtail 10/4a=-3/4\)
\(\\ \rm\rightarrowtail 10a=-3\)
\(\\ \rm\rightarrowtail a=-0.3\)
solve the simultaneous equations
5x-4y=13
x+2y=8
Answers
Answer:
1. x=4/5y+13/5
2. x=-2y+8
Step-by-step explanation:
1.
Eight quadrilaterals with markings are shown.
Classification
Kite
Quadrilateral R
Parallelogram
Quadrilateral X
B
C
Rhombus C
Rectangle
Square
Trapezoid
Quadrilateral
Only
Sex
Quadrilateral Y
*
Quadrilateral W
Select all of the possible classifications of each quadrilateral based on
the given information.
F
Quadrilateral N
paizzim
#
H
Quadrilateral H
N
Quadrilateral B
☐
Quadrilateral
☐
Quadrilatera F
☐
■ ロ ☐
0
(1970
R
ロロ
0
W
00
X
00
Y
00
10p
Answers
The classifications are: Quadrilateral N is a kite, Quadrilateral F is a parallelogram, Quadrilateral Y is a rhombus, Quadrilateral H is a rectangle, Quadrilateral W is a square.
Classification of QuadrilateralsQuadrilaterals are polygons with four sides and four vertices. The figure shows the various types of quadrilaterals, each having its own set of properties.
1. Kite: A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. The diagonals of a kite are perpendicular, and one diagonal bisects the other.
Base on these properties, from the figure, Quadrilateral N is a kite.
2. Parallelogram: A parallelogram has opposite sides that are parallel and equal in length. Opposite angles are also equal. Additionally, the diagonals of a parallelogram bisect each other.
Base on these properties, from the figure, Quadrilateral F is a parallelogram.
3. Rhombus: A rhombus is a parallelogram with all sides equal in length. Opposite angles are equal, and the diagonals bisect each other at right angles.
Base on these properties, from the figure, Quadrilateral Y is a rhombus.
4. Rectangle: A rectangle is a parallelogram with four right angles. Opposite sides are equal in length, and the diagonals are congruent.
Base on these properties, from the figure, Quadrilateral H is a rectangle.
5. Square: A square is a special type of rectangle where all sides are equal in length. It has four right angles and congruent diagonals.
Base on these properties, from the figure, Quadrilateral W is a square.
6. Trapezoid: A trapezoid (or trapezium) has one pair of parallel sides. The other two sides are non-parallel. The diagonals of a trapezoid do not necessarily intersect at right angles.
Base on these properties, from the figure, Quadrilateral B is a trapezoid.
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What is the vertex of the graph of the function below?
y=x² + 4x-6
A. (2,0)
B. (-2,6)
C. (-2,-10)
D. (2,6)
Answers
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what is the scalar product of a vector of length 7 and a vector of length 10 which make an angle of 60∘ with each other?
Answers
The scalar product of a vector is A · B = 35
Given data ,
The product of vectors is:
A · B = |A| |B| cos(θ)
where A and B are vectors, |A| and |B| are the lengths (magnitudes) of the vectors, and θ is the angle between the vectors.
In this case, the length of vector A is 7 and the length of vector B is 10. The angle between them is 60 degrees.
Substituting the given values into the formula, we have:
A · B = |A| |B| cos(θ)
= 7 * 10 * cos(60°)
= 70 * cos(60°)
The cosine of 60 degrees is 0.5, so we can simplify further:
A · B = 70 * cos(60°)
= 70 * 0.5
= 35
Hence , the scalar product of a vector of length 7 and a vector of length 10, which make an angle of 60 degrees with each other, is 35
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What is the value of the x in the equation? x+1/8=3/4
Answers
Answer:
x = 5/8
Step-by-step explanation:
Isolate the variable by subtracting 1/8 from both sides:
3/4 - 1/8 = 5/8
Now, the equation is:
x = 5/8
Therefore, the answer is 5/8
How many of the 320 million Americans would you predict wear contacts lenses?
Answers
Answer:
40,640,000
Step-by-step explanation:
The way I solved this equation was by dividing 320,000,000 by 1,000 (to make smaller numbers). Then, I got 320,000. From here, I was able to multiply 320,000 by 127 (the number found in this specific study group) to get 40,640,000. Or, you could just multiply 320,000,000 by 0.127 (the decimal equivalent to 127/1000) to get the same answer. Please mark Brainliest if this helped :)
Answer:
40,640,000
Step-by-step explanation:
The sample size is 1000 and 127 wear contacts so
127/1000 = x/320000000
(127 * 320000000)/1000 = x
40,640,000 = x
6.[–/13 Points]DETAILSALEXGEOM7 6.2.016.MY NOTESASK YOUR TEACHERPRACTICE ANOTHERConsider the following figure.A circle, five points, five line segments, and two angles are given.Point A lies outside the circle, on the left.Four points lie on the circle:B is on the left, just above center; C is on the top right; D is on the left, just below center; and E is on the bottom right.Segment A C, which intersects the circle at B, and segment A E, which intersects the circle at D, meet outside the circle at A.Segment C E lies inside the circle and appears vertical.Segment B E and segment C D lie inside the circle and intersect at a point.The angle to the right of the intersection point, formed above B E and below C D, is labeled 1.∠C A E is labeled 2.Given:m∠1 = 74°m∠2 = 34°Find: mCE$\frown{\hspace{25px}}$ and mBD$\frown{\hspace{25px}}$ in degreesmCE$\frown{\hspace{25px}}$ =°mBD$\frown{\hspace{25px}}$ =°
![6.[/13 Points]DETAILSALEXGEOM7 6.2.016.MY NOTESASK YOUR TEACHERPRACTICE ANOTHERConsider the following](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/8Z1ckclUxEvfyp33lZEeMdy03aRMva9Z.jpeg)
Answers
The arc measures on the given circle are as follows, using theorems:
1. Arc CE: 148º.
2. Arc BD: 6º.
What is the measure of Arc CE?The measure of Arc CE is found applying the central angle theorem, which states that the measure in degrees of the arc is twice the measure of the inscribed angle from these points.
The measure of the inscribed angle is of m<1 = 74º, hence the measure of the arc is given as follows:
m<Arc CE = 2 x 74º = 148º.
What is the measure of Arc BD?The measure of arc BD is found applying the outside angle theorem, which states that the measure of the arc formed by two secants of the circle is half the difference of the measures of the intercepts arcs.
Hence, in the context of this problem, the measure of arc BD is obtained as follows:
34 = (74 - BD)/2
74 - BD = 68
BD = 6º.
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PLEASE HELP FAST!!!!!!!
Answers
Answer:
A; x= 8
B; x= -5
C; x= -12
Step-by-step explanation:
a => (7x-1)+(15x+5) = 180
22x +4 = 180
22x = 176
x= 8
b=> (x+135)= 130
x= -5
c=> x+60=48
x= -12
Lin runs 12 laps around a track in 15 minutes.
A. How many minutes per lap is that?
B. How many laps per minute is that?
C. If Lin runs 20 laps at the same rate, how long does it take her
Answers
Answer:
it will take 25.2 minutes for Lin to run 21 laps
Step-by-step explanation: give crown plsplsplsplsplsplsplsplsplspls, also have a good day!
Suppose Yt = 5 + 2t + Xt, where {Xt} is a zero-mean stationary series with autocovariance function γk. a. Find the mean function for {Yt}.
Answers
Therefore, the mean function for {Yt} is given by E[Yt] = 5 + 2t.
To find the mean function for {Yt}, we substitute the given equation Yt = 5 + 2t + Xt into the equation and simplify:
E[Yt] = E[5 + 2t + Xt]
Since E[Xt] = 0 (zero-mean stationary series), we can simplify further:
E[Yt] = 5 + 2t + E[Xt]
= 5 + 2t + 0
= 5 + 2t
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The measure of an angle is 51°. what is the measure of its supplement? responses
a. 39°
b. 49° c. 129° d. 139°
Answers
An angle's supplement is the angle that adds up to 180 degrees. As a result, 129° would be the measure of the supplement of an angle with a measure of 51°.
An angle's supplement is the angle that, when combined with the original angle, yields a total of 180°. By deducting the original angle's measurement from 180°, one can determine the supplement angle's measurement. As a result, the measure of the supplement for an angle with a measure of 51° would be 129°. Due to the fact that 180° - 51° Equals 129°. With this knowledge, it is clear that c. 129° is the correct answer. It is significant to remember that, regardless of the size of the original angle, the supplement of an angle always has the same size. As a result, each angle's supplement is always equal to 180° minus the size of the original angle.
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Answer:
129
Step-by-step explanation:
What is the value of x in the equation 2(2x − 5 − 4) = 160 − 17? (4 points)
a
40.25
b
62.25
c
80.25
d
143
Answers
Step-by-step explanation:
2(2x-5-4)=160-17
4x-10-8=143
4x=143+8+10
4x=161
x=40.25 or 161/4
plzzzz hurry ill mark you brainly
Answers
Answer:
1: z = 4.
2: y= 6.
3: w= 13.
4: a= 36.
Please like and mark brainliest!
Hope it helps!
Answer: Z is equal to 4, for the first one. The second one is Y equals 6. The 3rd one is W equals 13. The fourth and final one is A equals 36.
Step-by-step explanation:
Long Explanatio, but I gave the answers.
what is the ration of 15:5 in the simplest form
Answers
Answer:
3:1
Step-by-step explanation:
First we need to find out the HCF(highest common factor) of 15 and 5 which is 5 because 5 goes in both 5 and 15 and it the highest number that goes in both.
Then we divide the 15 and 5 by the HCF which is 5 and you get 3:1
1) In a parking garage, there are 17 Ford vehicles and 14 Toyota vehicles. There are 23 SUVs and 9 of them are Toyotas. In the Venn diagram below, do the following:(a) Fill in the labels for the sets and the universe in the appropriate blank spaces.(b) Fill in the correct numerical values in the appropriate blank spaces.
Answers
Given the following set of cars
\(\begin{gathered} T\Rightarrow T\text{oyota} \\ S\Rightarrow\text{SUV} \\ F\Rightarrow\text{Ford} \end{gathered}\)\(\begin{gathered} n(F)=17 \\ n(\text{S }\cap\text{ T)}\Rightarrow9 \\ n(S\cap T^{\prime})=23-9=14 \\ n(S^{\prime}\cap T^{})=14-9=5 \end{gathered}\)The universal set is the sum of all the subsets given above
\(\begin{gathered} n(U)=n(F)+n(\text{S }\cap\text{ T)}+n(S\cap T^{\prime})+n(S^{\prime}\cap T^{}) \\ n(U)=17+9+14+5=45_{} \end{gathered}\)The Venn diagram is show below
help please!! first answer gets marked brainliest!
Answers
Answer:
Answer 30
Step-by-step explanation:
if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D
20 points will be given
Answers
Answer:
a
Step-by-step explanation:
The fourth term of an arithmetic sequence is 9. If the common difference is 2, what is the first term?
Answers
The first term of the arithmetic sequence is 3.
What is an Arithmetic Sequence?Arithmetic sequence is a sequence of numbers by which each term differ from the next successive term by a common difference.
To define such a sequence, the first term must be known and the common difference.
If the fourth term a + 3d = 9
where a = first term
d = common difference = 2
Then a + 3d = 9
making a the subject of the equation,
a = 9 - 3d
substituting d = 2 into the equation
a = 9 - 3(2)
a = 9 - 6
a = 3
In conclusion, the first term of the sequence is 3
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The mark up of 40% is nullified by giving some discount on rs. 980. Find the amount of mark up/discount.
Answers
The amount of markup if markup to 40% is nullified by giving some discount of Rs. 980 is Rs 280.
What is mark up?The markup, expressed as a percentage of cost, is the difference between a product's selling price and its cost.
The markup of 40%
Let's Assume the cost price = Rs 100C
Calculate the markup as shown below,
Mark up = (40 / 100) 100C = Rs 40C
Marked price = 100C + 40C = Rs 140C
Hence, 140C = 980
C = 7
Thus, markup price = 7 × 40 = Rs 280
Therefore, the amount of markup if markup to 40% is nullified by giving some discount of Rs. 980 is Rs 280.
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suppose you are dealt a 5-card poker hand and your first 2 cards are the two of clubs and two of hearts. how many ways are there to complete your hand such that you end up with no better than a 3 of-a-kind?
Answers
Number of ways there to complete your hand such that you end up with no better than a 3 of-a-kind is 14,212.
There are a total of 47 cards remaining in the deck after you have been dealt the two of clubs and two of hearts. We need to count the number of ways to choose the remaining 3 cards such that we end up with no better than a 3-of-a-kind so we have to use the combinatorics.
We get a pair with one of the two's: There are three remaining two's in the deck, and we need to choose two of them to make a pair. We then need to choose one more card from the remaining 44 cards in the deck that is not the same rank as the pair.
There are (3 choose 2) = 3 ways to choose the pair, and (44 choose 1) = 44 ways to choose the third card. So the total number of ways to complete the hand with a pair of one of the two's is 3 x 44 = 132.
We get three cards of different ranks: We cannot have a pair or three-of-a-kind, so we need to choose three cards of different ranks. There are (12 choose 3) = 220 ways to choose the ranks of the three cards (excluding twos).
For each rank, there are 4 possible cards (one of each suit), so there are (4 choose 1)^3 = 64 ways to choose the three cards of each rank. So the total number of ways to complete the hand with three cards of different ranks is 220 x 64 = 14,080.
Therefore, the total number of ways to complete your hand such that you end up with no better than a 3-of-a-kind is 132 + 14,080 = 14,212.
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