Answer:
3/2
Step-by-step explanation:
2y = 3x + 4
y = (3/2)x + 2
^ ^ ^ ^
y = m x + c
m = 3/2
Which of the following is false about the figure?
a. m CUD = m VUM
b. M AUV + m DUA = 180
c. m MUC - m MUD = mzCUD
d. m PUD + m VUP = m PUM + m_CUA
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
For f(x) = -5x + 4, what is the value of x for which f(x) = 20
Answer:
- 3.2
Step-by-step explanation:
- 5x + 4 = 20
- 5x = 20 - 4
- 5x = 16
x = 16 / - 5
x = - 3.2
Help me who here is a master at math I need your help !!
Answer:
88.4ft²
Step-by-step explanation:
oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:
So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:
10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)
So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):
6 x 5.2 ÷ 2 = 15.6
So the area is 15.6ft
Now let's do the triangles under the trapezoid:
So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:
18 - 6 = 12
and we're going to assume that both the triangles are equal:
12 ÷ 2 = 6
6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them
15.6 x 2 = 31.2
So the area of the triangles under the trapezoid is 31.2ft
Now, the trapezoid:
so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:
4 + 12 = 16
16 x 5.2 = 83.2
83.2 ÷ 2 = 41.6
So the trapezoid is 41.6ft
Now we add all of our disgustingness together:
15.6 + 31.2 + 41.6 = 88.4
So, the area of the entire garden is 88.4ft²
hope this helps:)
you roll one die and a spinner as shown below. what is the probability you roll and spin a 4?
Answer:
1/4
Step-by-step explanation:
What is
7(2b + 3) - 2b
Pls I need help fast
Answer:
b= = - 7/4 or -1.75
Step-by-step explanation:
14b +21 -2b=0
12b +21=0
12b= -21
b= -21/12
b= - 7/4 or -1.75
Answer:
i dont know what you neccesarily want but here are two answers b=-7/4 or -1 3/4 other answer is 12b+21
Step-by-step explanation:
first, you have to set this question equal to 0.
7(2b+3)-2b=0
now you have to distribute the 7 to everything inside the parentheses.
14b+21-2b=0
combine like terms
12b+21=0
you can stop here and take this answer if this is the one you want
now subtract each side by 21
12b=-21
divide each side by 12
b=-21/12
simplify
b=-7/4
hope this helps! have a nice day :)
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 6.6 pounds/square inch with a standard deviation of 1.0. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
The null hypothesis is accepted at 0.01 level of significance
The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch
Step-by-step explanation:
Step:-1
Given that mean of the population (μ) = 6.5 pounds/ square inch
Given that the sample size 'n' = 26
Given that mean of the sample ( x⁻) = 6.6 pounds/ square inch
Given that the standard deviation of the sample (σ) = 1.0
t₀.₀₁ = 2.7874
Step:-2
Null hypothesis:H₀: μ = 6.5
Alternative Hypothesis:H₁: μ ≠6.5
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{6.6-6.5}{\frac{1.0}{\sqrt{26} } }[/tex]
t = 0.510
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
Final answer:-
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
The null hypothesis is accepted at 0.01 level of significance
The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch
Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)
find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).
Answer:
97.27 yd²
Step-by-step explanation:
First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.
6x5=30
30/2=15
Area of triangle=15 yd²
Find area of the middle rectangle. So multiply the length by the width.
9x6=54
Area of rectangle=54 yd²
Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.
[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27
Area of circle is about 28.27 yd²
Add up the three areas.
15+54+28.27=97.27
The ratio of the diameters of two similar cylinders is 4/5 What is the ratio of their surface areas? of their volumes?
Answer:
yo
Step-by-step explanation:
jy
choosing an ice cream cone from waffle, plain,
or sugar and a flavor of ice cream from
chocolate, vanilla, or strawberry
Answer:
vanilla,cone
Step-by-step explanation:
GIVING BRAINLIEST!!!
Which summation formula is equivalent to the one below?
Answer:
The second summation, counting from the top.
Step-by-step explanation:
Remember the relation:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
The first summation is:
4*( (-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3)
4*( 1 - 1/2 + 1/4 - 1/8) = 2.5
Now let's analyze the options.
Let's look at option A, here we only have 2 to different powers, so we never can have a summation equal to 2.5, then we can discard that option.
Let's look at the next one (B), it will be equal to:
= (1/4)*( (-2)^4 + (-2)^3 + (-2)^2 + (-2)^1) =
= (1/4)*( 16 - 8 + 4 - 2) = 2.5
Then this summation is the one equivalent to the first one.
Answer:
B
Step-by-step explanation:
edg 2021
what is 5 cm in mm. i need a simple answer. NO LINKS
50 millimeters
keystrokes
The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x and f(1) = 173. What does the 173 represent?
9514 1404 393
Answer:
f(1) = 173 = the amount remaining after 1 year
Step-by-step explanation:
The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...
f(1) = 173 = the amount remaining after 1 year
__
(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)
If x=2 and y=5 Evaluate this expression: 6x +5 y
Answer:
12 + 25 = 37
Step-by-step explanation:
If we have the value for each of the variables, we can plug them in, and be done with it.
when we plug them in, we get
6(2) + 5(5)
12 + 25
37
which expression would be easier to simplify if you used the commutative property to change the order of the numbers
A. (-40) + (-30) + 28
B. -3/5 + (-2/5) - 4
C. 40 + (-58) + 160
D/ 130 + 70 + (-37)
Step-by-step explanation:
OPTION A
(-40) + (-30) + 28
2- Describe the cross section
The cross-section cut by the plane yields a quadrilateral with length and width equal to the length and width of the face that is parallel to the plane.
(Photo is part one)Malik also adds the following ingredients. How many cups of each
did he add? Show each step of your solution.
• 28 tablespoons of sugar
• 6 tablespoons of cocoa powder
Answer:
Step-by-step explanation:
what are we looking for?/
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will.the job take
Answer: 5
Step-by-step explanation:
How do I solve for d(real answers only please)
9514 1404 393
Answer:
multiply by (d/cos(36°))
Step-by-step explanation:
As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).
cos(36°) = 16/d
d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635
d ≈ 19.78
__
Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.
[tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]
__
The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.
_____
Comment on numerical precision
We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.
HELP ME PLZ
Which of the following situations could be solved by using the inequality 1 point shown below? * 9 + 1.25x > 14 +0.75x F. Park A charges an entrance fee of $9 plus $1.25 per ride. Park B charges $14 per ride and an entrance fee of $0.75. After how many rides will the total charge at Park A cost more than Park B? G. Danny finishes 1.25 homework problems every 9 minutes. Katie finishes 0.75 homework problems every 14 minutes. After how many minutes will Danny have completed more of his homework than Katie? H. Jake has $9 and spends $1.25 each day. Finn has $14 and spends $0.75 each day. After how many days will Jake have more money than Finn? J. Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia?
Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia
Step-by-step explanation:
Ray feeds his dog 0.12 kilogram of dry dog food each day. How many kilograms of dry dog food does Ray need to feed his dog for the month of March? (March has 31 days.)
Answer:
amount of food feed each day is 0.12 kg
amount of food required to feed in March( 31 days) is 0.12*31
the answer is 3.72kg
10.) Find values of x and y for which ABCD must
be a parallelogram.
A x=2 y=4
B x=2 y=6
C x=2 y=16
D x=6 y=2
Answer:
B x=2 y=6
Step-by-step explanation:
For ABCD to be parallelogram, following conditions should be satisfied:
2x - 0 = x + 2 & 4y - 8 = y + 10
2x - 0 = x + 2
2x - x = 2
x = 2
4y - 8 = y + 10
4y - y = 10 + 8
3y = 18
y = 18/3
y = 6
A basketball league assigns 8 players to each team. How many players can sign up for the league if there are 24 teams?
Answer:
192
Step-by-step explanation:
If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.
8 x 24 = 192 players can sign up for the league.
(hope this helps can i plz have brainlist :D hehe)
Answer:
192 players
Step-by-step explanation:
8x24=192
8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.
Figure J is similar to Figure M.
D
8
M
A
F
w
Which equation is true? (Picture is shown)
Answer:
what are the equations?
Step-by-step explanation:
Rewrite as an exponential equation.
In7 = y
If Houston is six hours behind London, what time would it be in Houston if it were 9 p.m. in London?
Answer:
3 p.m
Step-Hope this helps!!
Answer:
pretty sure 3pm
Step-by-step explanation:
You just subtract 9-6
So its 3pm :)
Please help!!! Evaluate sin(x)
A. 2.125
B. 0.4706
C.0.8824
D.0.5333
Answer:
sin x = 0.4706
Step-by-step explanation:
Given that,
Height, h = 8
Base, b = 15
Let H be the hypotenuse of the triangle. Using Pythagoras theorem,
[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]
We know that,
[tex]\sin\theta=\dfrac{h}{H}[/tex]
So,
[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]
So, the correct option is (b).
Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m
Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle
Answer:
Step-by-step explanation:
a, b, c
a + b > c ; b + c > a ; a + c > b
5 + 4 < 10 ⇒ triangle not possible
Answer:
Triangle not possible.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.
5 + 4 = 9
9 cm is not longer than 10 cm.
10 > 9
Therefore, the triangle is not possible..
Solve the simultaneous equations
4x+3y=11
2x-y=-2
Answer:
[tex]x = \frac{1}{2} [/tex]
[tex]y = 3[/tex]
Step-by-step explanation:
Multiply the bottom equation by -2.
[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]
Add the new equation to top equation.
[tex]5y = 15[/tex]
[tex]y = 3[/tex]
Know plug 3 in one of the equations to find x.
[tex]4x + 3(3) = 11[/tex]
[tex]4x = 2[/tex]
[tex]x = \frac{1}{2} [/tex]
Answer:
( [tex]\frac{1}{2}[/tex], 3 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 11 → (1)
2x - y = - 2 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
6x - 3y = - 6 → (3)
Add (1) and (3) term by term to eliminate y
10x + 0 = 5
10x = 5 ( divide both sides by 10 )
x = [tex]\frac{1}{2}[/tex]
Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y
Substituting into (1)
4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11
2 + 3y = 11 ( subtract 2 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is ( [tex]\frac{1}{2}[/tex], 3 )