Answer:
Step-by-step explanation:
y=-3x+24
(0,24)
cards are drawn from a deck (52 cards) until the first spades comes out. the eighth card drawn is the first spade. what is the probability the next card drawn is the ace of spades?
Probability that an ace is pulled from the deck = A/T=4/52=1/13
52 cards are there in all.
Four aces are found in all of the card A's.
Thirteen spades in all.
Probability that an ace is pulled from the deck = A/T=4/52=1/13
likelihood that a spade will be the next card drawn =S/T=13/52=1/4
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What’s the answer plss
The length of XY=19.894 cm when the angle XYZ=90° and angle YZX=61° and the length of hypotenuse=17.4 cm. Using the property of trigonometry, a=b.sinα/sinβ.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc).
What is Hypotenuse?The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.
Here,
a=b.sinα/sinβ
=17.4·sin(90°)/sin(61°)
=19.89436 cm
≈19.9 cm
When the hypotenuse is 17.4 cm long and the angles XYZ and YZX are 90° and 61°, respectively, the length of XY is 19.894 cm. Using the trigonometric formula a=b.sinα/sinβ.
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please dont use any big words & give an essay explanation
We want to create a real-life reasonable problem in which we can apply the laws of exponents.
Using a compound interest example;
Word Problem:
Calculate the final value of a $2,000 investment in an account with a 5% interest compounded Quarterly for 5 years.
Solving the word problem;
We have the following parameters;
[tex]\begin{gathered} \text{ Principal P = \$2,000} \\ \text{Rate r = 5\%} \\ \text{Time t = 5 years} \\ \text{ Number of times compounded n = 4} \end{gathered}[/tex]Recall that the formula for compound interest is;
[tex]F=P(1+\frac{r}{n})^{nt}[/tex]Substituting the given values;
[tex]\begin{gathered} F=2000(1+\frac{0.05}{4})^{4(5)} \\ F=2000(1+0.0125)^{20} \\ F=2000(1.0125)^{20} \\ F=2000\times(1.0125)^{20} \\ F=\text{ \$2,564.07} \end{gathered}[/tex]Therefore, the solution to the problem is;
The final
Please help me,
Susan colored in the decimal grid shown below. Right a multiplication expression for the area she colored. Then multiply
AnswerAnswerAnswer:
mutiply 14 by 6704
Step-by-step explanation:
The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
As per the given decimal grid,
The number of colored raw = 8
The number of colored columns = 3
Total grids = 8 x 3 = 24
Hence "The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24".
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PLEASE HELP! this is probably easy, THANK YOU!
Answer:
The percent change in attendance from the 2014 to 2015 school year is a 11.5385% decrease, or 12% when rounded.
Make sure to mark as Brainliest if this is correct so others know that this is the correct answer.
Answer:
r u cheating or just need "HELP"
Step-by-step explanation:
In each of the following, describe the rate of change between the first pair and the second, assuming that the first coordinate is measured in minutes and the second coordinate is measured in feet. What are the units of your answer? (a) (2, 8) and (5, 17) (b) (3.4, 6.8) and (7.2, 8.7) (c) (3/2, - 3/4) and (1/4, 2)
The rate of change are:
a. 3 ft/min
b. 0.5 ft/min
c. -2.2 ft/min
How to Find the Rate of Change?The formula for finding the rate of change of a relationship is given as:
Rate of change = Change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
a. (2, 8) = [tex](x_1, y_1)[/tex]
(5, 17) = [tex](x_2, y_2)[/tex]
Rate of change = (17 - 8)/(5 - 2)
Rate of change = 9/3
Rate of change = 3 ft/min
b. (3.4, 6.8) = [tex](x_1, y_1)[/tex]
(7.2, 8.7) = [tex](x_2, y_2)[/tex]
Rate of change = (8.7 - 6.8)/(7.2 - 3.4)
Rate of change = 1.9/3.8
Rate of change = 0.5 ft/min
c. (3/2, - 3/4) = [tex](x_2, y_2)[/tex]
(1/4, 2) = [tex](x_2, y_2)[/tex]
Rate of change = (2 - (-3/4))/(1/4 - 3/2)
Rate of change = 11/4 / -5/4
Rate of change = 11/4 × -4/5
Rate of change = -11/5 = -2.2 ft/min
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Which statement best describes how to slice a cone so that the resulting cross section is an ellipse
Cutting at less than a right angle to the axis but more than the angle made by the side of the cone produces an ellipse.
Therefore, with this above statement, the statement which best describes how to slice a cone so that the resulting cross-section is an ellipse is
A plane slicing the cone diagonally without intersecting the base
The correct option, therefore, is OPTION B
Given: angle CDE congruent to angle CED,
Angle A = angle B
Prove: DE || AB
Please explain the statement and reasoning
Ex: AB is congruent (the sign) to DE. Given
Ill reward brainliest to the one who explains it best ty
1) [tex]\angle CDE \cong \angle CED, \angle A \cong \angle B[/tex] (given)
2) [tex]m\angle CDE=m\angle CED, m\angle A=m\angle B[/tex] (definition of congruent angles)
3) [tex]m\angle C+m\angle CDE+m\angle CED=180^{\circ}, m\angle C+m\angle A+m\angle B=180^{\circ}[/tex] (sum of angles in a triangle)
4) [tex]m\angle C+2m\angle CDE=180^{\circ}, m\angle C+2m\angle A=180^{\circ}[/tex] (substitution)
5) [tex]m\angle C=180^{\circ}-2m \angle CDE, m\angle C=180^{\circ}-2m\angle A[/tex] (subtraction)
6) [tex]180^{\circ}-2m \angle CDE=180^{\circ}-2m \angle A[/tex] (transitive)
7) [tex]-2m\angle CDE=-2m\angle A[/tex] (subtraction)
8) [tex]m\angle CDE=m\angle A[/tex] (division)
9) [tex]\angle CDE \cong \angle A[/tex] (definition of congruent angles)
10) [tex]\overline{DE} \parallel \overline{AB}[/tex] (converse of corresponding angles theorem)
Here is a sketch of the unique triangles that can be
made with angle measures 80° and 20° and side
length 5.
PLEASE HELPPPP
ASAAAAPPPPP DUE AT END OF TODAY
Option (B) describes the correct unique possibilities of the given triangle.
What are triangles?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. △ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane. A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same. Triangles can be divided into three types based on the lengths of their sides, and these are Scalene, Isosceles, and Equilateral.So, according to the given image:
We can easily observe that the triangle is an isosceles triangle with base angles being equal and the third angle being the smallest.Then, the correct option about the triangle will be an option (B).Therefore, option (B) describes the correct unique possibilities of the given triangle.
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the box contains 8 blue and 4 black pencils. 5 pencils are drawn at random from the box. find the probability that out of 5 pencils taken, 2 are blue and 3 are black.
The probability that out of 5 pencils taken, 2 are blue and 3 are black is 0.4381.
What is probability?Probability simply means the likelihood that something will occur or happen.
In this case, the the box contains 8 blue and 4 black pencils. The probability of drawing 2 blue balls will be:
= 8/12 × 7/11
= 0.4242
The probability of drawing 3 blacks will be:
= 4/12 × 3/12 × 2/12
= 1/3 × 1/4 × 1/6
= 0.0139
The probability will be the addition of the values. This will be:
= 0.4242 + 0.0139
= 0.4381
The probability is 0.4381.
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Complete the explanation of the error.
If x²=81, then x = 9.
The value of x could also be
The square root of a number can also be negative number so x could also be -9
Taking square root of a numberSquare root of a number is the number such that if it is multiplied by itself we get the square. The opposite of squaring an integer is finding its square root. As we know multiplication of two negative numbers produce a positive number. this is the reason why square of both positive and negative numbers are both positive. therefore, square root of a number can also be positive or neegative both. That is why we can't take square root of negative numbers.
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Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.
a cup of all-purpose flour as an ingredient
White sugar, 2 tablespoons
Baking powder, two teaspoons
1 salt shaker, or as desired
a cup of milk
Vegetable oil, two tablespoons
1 beaten egg
How to make a pancakes?Directions
In a sizable basin, mix the flour, sugar, baking soda, and salt. Pour the milk, oil, and egg into the center well that has been created. Blend until uniform.
Over medium-high heat, preheat a griddle or frying pan with a little oil. For each pancake, pour or scoop about 1/4 cup of batter onto the griddle; cook for 1 to 2 minutes, or until bubbles form and the edges are dry. The opposite side should be browned after flipping. Use the leftover batter to repeat.
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How many ways can four guests sit in a row of six chairs?
Answer:
360
Step-by-step explanation:
There are 6 spaces and 4 people.
_ _ _ _ _ _
The first person to choose a seat can choose any of the 6 seats.
The second person can choose any of the 5 remaining seats.
The third person can choose any of the 4 remaining seats.
The fourth person can choose any of the 3 remaining seats.
Now, we do 6 x 5 x 4 x 3 to figure out the total number of ways they can sit in the seats.
6 x 5 x 4 x 3 = 360 ways
question : below pictureis attached
Answer:
the value of 2/3 ^-2 is 18
A bee flies at 9 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 22 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Using the relation between velocity, distance and time, it is found that:
a. The equation used to find the distance of the flowerbed from the hive is: d = 540 feet per minute x 1.6 minutes.
b. The distance of the flower bed from the hive is: 864 feet.
Velocity, distance and timeVelocity is given by the distance divided by the time, as follows:
v = d/t
In the context of this problem, we have that:
The bee stays at the flowerbed for 18 minutes.The bee stays away from the hive for a total of 22 minutes.The times are as follows:
[tex]t_1[/tex]: hive -> flowerbed.[tex]t_2[/tex]: flowerbed -> hive.The sum of this times is of 22 - 18 = 4 minutes, hence:
[tex]t_1 + t_2 = 4[/tex]
During the first step, that is, from hive to flowerbed, the velocity is 1.5 times greater than during the second step, thus the second time is 1.5 times the first time, that is:
[tex]t_2 = 1.5t_1[/tex]
Then the first time is calculated as follows:
[tex]1.5t_1 + t_1 = 4[/tex]
[tex]2.5t_1 = 4[/tex]
[tex]t_1 = \frac{4}{2.5}[/tex]
[tex]t_1 = 1.6[/tex]
The velocity during this time was of 9 feet per second = 540 feet per minute, for 1.6 minutes, hence the equation is:
d = v x t
d = 540 feet per minute x 1.6 minutes.
d = 864 feet.
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What is the equation of a line that passes though the Point (3, -7) and has a slope of -2?
Answer:
y = - 2x - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 2 , then
y = - 2x + c ← is the partial equation
to find c substitute (3, - 7 ) into the partial equation
- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1
y = - 2x - 1 ← equation of line
What’s the answer plsss
Answer:
8.5 cm
Step-by-step explanation:
See attached worksheet.
Opposite 63 is ML (we are not after that)
Adjacent is MN
Hypotenuse is 18.8
Choose adjacent + Hypotenuse to find MN
AH - CAH, cos
Cos63 = A/18.8
x18. 8
18.8 x Cos63 = A
8.535.... = A
So, MN = 8.5cm
Ans: C
Hope this helps!
The segments shown below could form a triangle 6 5 8 true or false
It is true to state that segments 6 5 8 could form a triangle. Where AC = 6, CB =5 and BA = 8. See the explanation for the same below.
What is a Triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The total lengths of any two sides must always be larger than the length of the third side in order to make a triangle.
This is shown as follows:
6 + 5 = 11 > 8
5 + 8 = 13 > 6
8 + 6 = 14 > 5
Given that the side lengths meet the preceding criterion, a result, the supplied segments may be used to build a triangle.
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True, the segments 6, 5, and 8 form a triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let ABC is a triangle
AB=6
BC=5
CA=8
To form a triangle the sum of any two sides must be greater than the third side.
AB+BC>CA
6+5>8
11>8
BC+CA>AB
5+8>6
13>6
CA+AB>BC
8+6>5
14>5
It satisfies the condition for forming a triangle.
Hence the segments form a triangle.
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Select the value that make the inequality w≥6 true
Answer:
Every number that is greater than 6
an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 280280 engines and the mean pressure was 6.86.8 lbs/square inch. assume the standard deviation is known to be 0.90.9. if the valve was designed to produce a mean pressure of 6.76.7 lbs/square inch, is there sufficient evidence at the 0.050.05 level that the valve does not perform to the specifications? state the null and alternative hypotheses for the above scenario
We can infer that we have sufficient evidence to reject the null hypothesis and that the true mean is significantly lower than 6.7 at 10% of significance if we compare the p value and the significance level given =0.05 and observe that p'.
What is the meant by hypothesis test?Hypothesis test: A statistical hypothesis test is a technique for determining if the available data are sufficient to support a specific hypothesis. We can make probabilistic claims regarding population parameters thanks to hypothesis testing.
Data are provided and noted.
X=6.8 display the sample mean
σ= 0.9 show the population's standard deviation.
n= 280 samples taken
μο=6.7 the value that we wish to test should be represented
α=0.1 signify the hypothesis test's level of significance.
The stat would be represented as z. (variable of interest)
p' indicate the test's p value (variable of interest)
Name the prevailing and competing hypothesis
The system of hypothesis must be tested to see if the true mean is below the criteria.
Null hypothesis: μ ≥ 6.7
Alternative hypothesis: μ < 6.7
Applying a z test to compare the actual mean to the reference value is preferable if the sample size is greater than 30 and we are aware of the population variation. The statistic is given by:
z=(X-μο)/σ[tex]\sqrt{n}[/tex] ......(1)
z-test: "enables the comparison of group means. One of the most widely used tests, it is used to determine whether the mean is (higher, lower, or not equal) to a given value ".
Calculate the statistic
We can replace in formula (1) the info given like this:
z=(6.8-6.7)/0.9[tex]\sqrt{280}[/tex]
P-value
Since is a one sided test the p value would be:
p'=p(z<0.0066)
We can infer that we have sufficient evidence to reject the null hypothesis and that the true mean is considerably lower than 6.7 at 10% of significance if we compare the p value and the significance level given =0.1 and observe that p'.
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What is the equation of the line that passes through the point (-6, 5) and has a
slope of - 3/2
Answer:
y = - [tex]\frac{3}{2}[/tex] x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{3}{2}[/tex] , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 6, 5 ) into the partial equation
5 = 9 + c ⇒ c = 5 - 9 = - 4
y = - [tex]\frac{3}{2}[/tex] x - 4 ← equation of line
Does anyone know how to write a linear equation to find the length and width of a perimeter? Ex...
Write a linear equation to represent the given problem and then solve the problem.
The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the dimensions.
The linear equation that represents the problem is 4w + 30 = 150.
The dimension(width and length) of the rectangle is 30 cm and 45 cm .
How to find the dimensions of a rectangle?A rectangle is a quadrilateral with 4 sides.
Opposite sides of a rectangle are equal to each other.
Opposite sides of a rectangle are parallel to each other.
Therefore,
perimeter of a rectangle = 2(l + w)
where
l = lengthw = widthHence, the perimeter of the rectangle is 150 cm. The length is 15cm greater than the width.
Therefore,
perimeter of rectangle = 150 cm
l = 15 + w
Hence,
150 = 2(15 + w + w)
150 = 2(15 + 2w)
150 = 30 + 4w
Therefore, the linear equation to represent the problem is 4w + 30 = 150.
Let's solve for the dimension of the rectangle.
4w + 30 = 150.
4w = 150 - 30
4w = 120
w = 120 / 4
w = 30 cm
L = 15 + 30 = 45 cm
Therefore,
length = 45 cm
width = 30 cm
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Determine the intercepts of the line:
y = 10x - 32
Answer:
The x intercept is 3.2, and the y intercept is -32.
Step-by-step explanation:
give brainiest
y-intercept is -32, x intercept is 3.2
Step-by-step explanation:
y-int is whatever b is in y=mx+b
x-int is whatever makes the equation equal to zero
◄) Solve for w.
29 + 17w = 624
W =
Helppp
Answer:
w = 35
Step-by-step explanation:
29 + 17w = 624
subtract 29 from both side
17 w = 595
divide both sides by 17
w = 35
Does anyone know the answers to this? I can’t figure it out
Answer:
[tex]y=57(0.88)^t[/tex][tex]\text{ \$}20.50[/tex]Explanation:
An exponential decay function is generally given in the below;
[tex]y=a\cdot(1-r)^t[/tex]where a = initial amount
r = percentage rate of decrease in decimal
t = number of years
Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;
[tex]\begin{gathered} y=57(1-0.12)^t \\ y=57(0.88)^t \end{gathered}[/tex]When t = 8, let's go ahead and solve for y;
[tex]\begin{gathered} y=57(0.88)^8 \\ y=\text{ \$}20.50\text{ (to the nearest cent)} \end{gathered}[/tex]This is the only question I’m stuck on can someone explain and help me
Answer:
x = 58°
∠P = 58°
∠PQR = 64°
Step-by-step explanation:
If you add the two nonadjacent angles together they will equal the exterior angle. Setup up an equation using that info.
[tex]58 +x=2x[/tex]
Solve for x.
[tex]58 +x-x=2x-x\\58=x[/tex]
Since ∠P is the same as x, ∠P = 58°
To find ∠PQR, add ∠P and ∠R together and then subtract from 180°. You subtract from 180° because the sum of the three angles of a triangle equal 180°.
58 + 58 = 116
180 - 116 = 64°
∠PQR = 64°
Angel earned $70 mowing lawns, which is 140% of the amount George earned. How much money did George earn?
The total amount earned from mowing lawns by George is $50
How to determine the amount earned by George?From the question, we have the following parameters that can be used in our computation:
Earnings percentage = 140%
Angel total earnings in mowing lawns = $70
The amount earned from mowing lawns by George is then calculated as
Angel total earnings in mowing lawns = Earnings percentage x Total amount earned from mowing lawns by George
Substitute the known values in the above equation
So, we have
70 = 140% x Total amount earned from mowing lawns by George
Divide both sides by 140%
Total amount earned from mowing lawns by George = 50
Hence, the total amount is $50
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Multiply and write in standard form: 10x + 3)(2x - 1) Show all work
Explanation
[tex](10x+3)(2x+1)[/tex]Step 1
apply distributive property
[tex]\begin{gathered} (10x+3)(2x+1)=(10x\cdot2x)+(10x\cdot1)+(3\cdot2x)+(3\cdot1) \\ (10x+3)(2x+1)=20x^2+10x+6x+3 \end{gathered}[/tex]Step 2
add similar terms and order
[tex]\begin{gathered} (10x+3)(2x+1)=20x^2+10x+6x+3 \\ (10x+3)(2x+1)=20x^2+16x+3 \\ \text{the standard form is} \\ ax^2+bx+c,so \\ ax^2+bx+c\Rightarrow20x^2+16x+3 \end{gathered}[/tex]so, the answer is
[tex]20x^2+16x+3[/tex]I hope this helps you
Don’t get how to do this
Answer:
1. 1.4, 1 5/8, 12/5, 8/8
2. 0.88
3. 1/4 and 8/8
4. 12/5 and 2/100
5. 1 5/8 and 1.625
6. 1 1/2
Given
\qquad \overline{BA}\perp\overline{BD}
BA
⊥
BD
start overline, B, A, end overline, \perp, start overline, B, D, end overline
\qquad m \angle CBD = 4x + 52^\circm∠CBD=4x+52
∘
m, angle, C, B, D, equals, 4, x, plus, 52, degrees
\qquad m \angle ABC = 8x - 10^\circm∠ABC=8x−10
∘
m, angle, A, B, C, equals, 8, x, minus, 10, degrees
Find m\angle CBDm∠CBDm, angle, C, B, D:
The value of ∠CBD is 68° and the value of ∠ABC is 22°
Given
Angle CBD = 4x + 52
Angle ABC = 8x − 10
If BA is perpendicular to BD, then ∠BAD = 90°
∠BAD = ∠CBD + ∠ABC
On substituting this values into the formula:
4x + 52 + 8x − 10 = 90
12x + 42 = 90
Add -42 to both sides
12x + 42 - 42 = 90 -42
12x = 48
x = 48/12
x = 4°
Here,
∠CBD = 4x + 52
∠CBD = 4 x 4 + 52 = 16 + 52 = 68°
Then,
∠ABC = 8x − 10
∠ABC = 8 x 4 − 10 = 32 - 10 = 22°
That is,
The value of ∠CBD is 68° and the value of ∠ABC is 22°
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Answer:
68 degrees
Step-by-step explanation:
got it right on khan academy
