Answer:
x = -3/2
Step-by-step explanation:
0 = 4x² + 12x + 9
4x² + 12x + 9 = 0
(2x + 3)² = 0
2x + 3 = 0
2x = -3
x = -3/2
Hope this helps! :)
Which of the following shows the union of the sets? {1, 5, 10, 15} {1, 3, 5, 7}
Answer:
{ 1,3,5,7,10,15}
Step-by-step explanation:
The union means join together, or all the elements of both sets
{1, 5, 10, 15} U {1, 3, 5, 7}
= { 1,3,5,7,10,15}
Answer:
Step-by-step explanation:
Union of two sets contains the elements that belongs to A set or B set or both
A= {1,5,10, 15}
B ={1,3,5,7}
A U B = {1,3,5,7,10,15}
What expression has the same meaning as 3 5/4?
Answer:
C)
Step-by-step explanation:
The whole number goes on the inside of the radical and is raised to the 5 power. The 4 is on the outside.
:)
In triangle ABC, the length of side AB is 18 inches and the length of side BC is 26 inches. Which of the following could be the length of side AC? A. 46 inches B. 49 inches C. 6 inches D. 32 inches
Answer:
D
Step-by-step explanation:
The Triangle Inequality states that the sum of the two largest side lengths of a triangle must be greater than the length of the largest side. Let's check these answers.
A: Since 18 + 26 > 46 is a false statement, A is not the answer.
B: Since 18 + 26 > 49 is false, B is not the answer.
C: Since 18 + 6 > 26 is false, C is not the answer.
D: Since 18 + 26 > 32 is false, D is the answer.
Answer:
since ab=18 and bc= 26 and if u draw out the shape and write them down u would mostly get d but I not too sure is d that the best I can do
Step-by-step explanation:
Find the cardinal number for the given set
A = {6, 11, 16,...,76)
The cardinal number is
Answer:
15
Step-by-step explanation:
A={6,11,16,...,76}
a=6,d=11-6=5
[tex]a_{n}=a_{1}+(n-1)d\\76=6+(n-1)5\\76-6=(n-1)5\\n-1=70/5=14\\n=14+1=15[/tex]
so the cardinal number is 15
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The product of 6 and a number.
The product of 6 and a number.
Tagall
er travels at an average speed of 64 miles per hour. How many miles does it travel in 4 hours and 45 minutes?
Answer:
304 miles
Step-by-step explanation:
Distance = rate times time
changing 4 hours 45 minutes to decimal form
4 45/60 = 4.75
D = 64 mph * 4.75
=304 miles
What is the volume of the prism below?
8
A. 280 units3
B. 234 units3
C. 140 units 3
D. 560 units3
Answer:
140 units3
Step-by-step explanation:
The volume of the prism below is 420 cubic units.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.
The volume of the prism= B×H
Where, B is base area of prism, and H is height of prism.
Given that,
Length of prism (L) = 12 centimeters
Width of prism(W) = 14 centimeters
B=1/2×12×5
=30
Now volume of prism = 30×14
=420 cubic units
Hence, the volume of the prism below is 420 cubic units.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ7
The average weight of men between the ages of 40-49 is 202.3 pounds with a standard deviation of 50.7 pounds. Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal. Group of answer choices
Answer:
33% probability that a man in this age group is under 180 pounds
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 202.3, \sigma = 50.7[/tex]
Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal.
This is the pvalue of Z when X = 180.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 202.3}{50.7}[/tex]
[tex]Z = -0.44[/tex]
[tex]Z = -0.44[/tex] has a pvalue of 0.33
33% probability that a man in this age group is under 180 pounds
HELPSelect the correct answer.
Which table shows a proportional relationship between a and b?
Answer:
B
Step-by-step explanation:
table B: because when x increases y increases at the same rate and stay the same . the graph has proportional relation when it is a straight line passes through origin
for B :25/20=30/24=40/32=5/4
y=5/4 x
ok first person to answer my question will get marked as the brainliest answer and i will give you a thanks and a like. Each square below represents one whole. A square divided in 25 equal parts, all 25 of which are shaded Another square divided in 25 equal parts, 13 of which are shaded What percent is represented by the shaded area?
Answer:
76%
Step-by-step explanation:
First, we need to see how many total squares (parts) there are. There are 50.
Now, we need to see how many parts are shaded. So, 13 plus 25 will give us 38.
Our fraction is 38/50, which is 76%.
Hope this helped!
Answer: 76 percent
Step-by-step explanation:
We have two squares divided into exactly 25 indentical parts
In the first one 25 squares are shaded wich means 25/25
The second one we only 13 shaded square wich means 13/25
So in total we have 50 squares with 38 shaded ones
Wich means 38/50
38/50= 0.76
Multiply bu 100 to get the percentage wich 76 percent
If $\sqrt{5+n}=7$, then what is the value of $n$?
Answer:
44
Step-by-step explanation:
We can solve the equation by simplifying it.
[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.
[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.
[tex]n = 44[/tex].
Hope this helped!
Answer:
44
Step-by-step explanation:
[tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]
How can you justify that the diagonals of a rhombus bisect opposite interior angles? A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected. B. Show that the interior angles of each triangle created by the diagonals must add to 180°. C. Show that the exterior angles of the rhombus must sum to 360°. D. Show that the vertical angles created by the diagonals are congruent. Then, show that the opposite interior angles are supplementary to these angles.
Answer:
A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected.
Step-by-step explanation:
Answer choice A is the only one that applies specifically to a rhombus.
The other answer choices are true of triangles and vertical angles in general. They do not relate specifically to the problem at hand.
www.g "7 Democrats and 6 Republicans. Four members are selected to attend a conference. Find the probability that the group will consist of all Republicans."
Answer:
2.10% probability that the group will consist of all Republicans.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the members are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
4 republicans from a set of 6.
[tex]D = C_{6,4} = \frac{6!}{4!2!} = 15[/tex]
Total outcomes:
4 members from a set of 6 + 7 = 13.
[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{15}{715} = 0.021[/tex]
2.10% probability that the group will consist of all Republicans.
2. Solve the following.
a. 18:2/3
Answer:
Step-by-step explanation:
18 : 2/3
can also be written as 18 / 2/3 = 18 × 3/2
= 27
Hope it helps
plz mark as brainliest!!!!!
Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis and translated 1 unit to the right? f(x) = –|x| + 1 f(x) = –|x – 1| f(x) = |–x| + 1 f(x) = |–x – 1|
Answer:
Hello There. ♡ The correct answer is: f(x) = -|x-1|
The parent function is f(x) = |x|
Then the function is reflected over the x-axis, so the f(x) will become -f(x)'. The function will become:
f(x) = -|x|
-f(x)' = |x|
f(x)' = -|x|
After that, the function is translated 1 unit to the right. That mean x will become x'-1. The function will become:
f(x) = -|x|
f(x) = -|(x'-1)|
f(x) = -|x'-1|
Hope It Helps! :)
ItsNobody~ ♡
Answer:
its b on edge 2020
Step-by-step explanation:
The mass of Box A and Box B is 0.6 kg. The mass of Box A and Box C is 1.3 kg.
Box C is 3 times as heavy as Box B. Find the mass of Box A.
Answer:
A=0.25
B=0.35
C=1.05
Step-by-step explanation:
1. A+B=0.6
2. A+C=1.3
3. C=3B
2 subtract 1:
C-B=0.73 substituted:
3B-B=0.7B=0.35C=0.7+0.35=1.05A=0.6-0.35=0.25An exponential function has:
A. a straight line that can be increasing or decreasing.
B.a curved line that can be increasing or decreasing.
C. U-shaped curved lines that increase then decrease or decrease then increase.
D. None of these choices are correct.
Answer:
Answer B is the correct one: a curved line that can be increasing or decreasing.
Step-by-step explanation:
Exponential functions are one-to-one functions, which means that cannot have a U shape. Also, they are not a straight line, since they grow of decrease exponentially (based on a fixed numerical base with the variable as the exponent) They can represent exponential growth showing a curve with increasing values as we move from left to right, or can represent exponential decay showing a curve with decreasing values as we move from left to right.
Apples were selling for $.26 a pound Jessica spent $3.77 on apples how many pounds of apples did Jessica buy
Answer:
14.5 pounds of apples.
Step-by-step explanation:
$3.77 ÷ $.26 = 14.5
Apples = 14.5 pounds
Hope this helps! :)
What is the value of x the triangle? PLS HELP
-- This is a right triangle. So you KNOW that
(one leg)² + (other leg)² = (hypotenuse)²
-- Also, since the acute angles are equal, the legs must be equal ... both x .
-- Plugging into the formula:
x² + x² = (4)²
2x² = (4)²
2x² = 16
x² = 8
√x² = √8
x = √8
x = √(4 · 2)
x = √4 · √2
x = 2 · √2
(That's choice D)
help help help pls pls
Answer:
C. 2y = -12
Step-by-step explanation:
Well a function is when all x values have only one corresponding y value and on a graph we can use the vertical line test and in doing so we know that the answer is C. 2y = -12
Answer:
Step-by-step explanation:hi
Find the inverse of the following function: f(x) = 8√x for x ≥ 0
Answer:
Step-by-step explanation:
Rewrite the function f(x) = 8√x as y = 8√x.
To find the inverse function, do the following:
1) Interchange x and y. We get x = 8√y
x x^2
2) Solve this result for y: (x/8) = √y => y = ( -------- )^2, or y = ---------
8 64
(1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27) The line is in the form y=mx+b. What is the value of m?
Answer: The value of m = 10.
Step-by-step explanation:
Given points, (1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27)
Each point is represented in the form (x,y).
The line is in the form[tex]y=mx+b[/tex], where m is the rate of change of y with respect to x.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Take [tex]x_1=1\ \ , y_1=5;\ \ x_2=9,\ \ y_2=85[/tex]
Then,
[tex]m=\dfrac{85-5}{9-1}\\\\=\dfrac{80}{8}=10[/tex]
Hence, the value of m = 10.
Answer:
9.15
Step-by-step explanation:
I just took the test Hope this helped :D
Pls help me I really need help
Answer:
26 - 7(n-1)
Step-by-step explanation:
subtract n times 7 from the start value.
But if we want to call the first term n=1, we have to subtract 1 from n.
How long will it take $4000 to grow into $5089.12 if it’s invested at 3.5% compounded annually?
Answer: 7 years
Step-by-step explanation:
From the formula A = P(1+(r/100))^t we have
5089.12 = 4000 (1+(3.5/100))^t
=> 1.27228 = (1.035)^t
Using calculator we find that 1.035^7 gives 1.272279
Hence in 7 years $4000 will grow to $5089.12 if it’s invested at 3.5%
What is the pre-image of vertext A' if the rule that created the image is
Answer:
a
Step-by-step explanation:
the pythagorean theorem suggests it
factor the polynomial expression 16y^4-256x^12
Answer:
see explanation
Step-by-step explanation:
Given
16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex] ← factor out 16 from each term
= 16([tex]y^{4}[/tex] - 16[tex]x^{12}[/tex] ) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b), thus
[tex]y^{4}[/tex] - 16[tex]x^{12}[/tex]
= (y² )² - (4[tex]x^{6}[/tex] )²
= (y² - 4[tex]x^{6}[/tex] )(y² + 4[tex]x^{6}[/tex] )
Now y² - 4[tex]x^{6}[/tex] ← is also a difference of squares
= y² - (2x³)²
= (y - 2x³)(y + 2x³)
Thus
16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex]
= 16(y - 2x³)(y + 2x³)(y² + 4[tex]x^{6}[/tex] )
Answer:
Step-by-step explanation:
4y^2+16x^6, 2y, 4x^3, 2y, 4x^3
I NEED HELP PLEASE, THANKS! :)
Answer:
2444
Step-by-step explanation:
The total cost is the integral of the marginal cost.
[tex]\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}[/tex]
The total cost of producing units 144 through 625 is 2444.
_____
If all you need is a number, a graphing calculator can give you that.
A labourer is paid Rs per hr for an
8- hr day and1/2 times the rate for
each hour in excess of 8 hrs in a
sigle day the received
Rs.80 for a single days work, how
long did he work on that day?
Complete question is;
A labourer is paid rs. 8 per hour for an 8 hour day and ½ times that rate for each hour in excess of 8 hours in a single day. if the labourer received rs. 80 for a single day's work, how long did he work on that day?
Answer:
Total working time for the day = 12 hours
Step-by-step explanation:
Money paid to the labourer for initial 8 hrs of work = 8 × 8 = rs. 64.
Now, we are told that he receives rs. 80 in total for that day. And that he receives ½ times the initial rate for each extra hour after the initial 8 hour period.
Thus;
½ × 8 × y = (80 - 64)
Where y is the duration of extra hours.
So;
4y = 16
y = 16/4 hours
y = 4 hours
Now, since extra hours = 4 hours and normal working hours = 8 hours.
Then, total working time for that day = 8 + 4 = 12 hours
how many are 4 x 4 ?
Answer: 16
Step-by-step explanation:
4 * 4 = 16
Lancelot Manufacturing is a small textile manufacturer using machineminus−hours as the single indirect − cost rate to allocate manufacturing overhead costs to the various jobs contracted during the year. The following estimates are provided for the coming year for the company and for the Case High School band jacket job.
Company Cae High School Job
Direct materials $40,000 $2,000
Direct labor $10,000 $400
Manufacturing overhead costs $45,000
Machine-hours 100,000 mh 900 mh
What is the bid price for the Case High School job if the company uses a 40% markup of total manufacturing costs?
A. $1,122.
B. $3,927.
C. $960.
D. $3,360.
Answer:
The correct answer is B.
Step-by-step explanation:
Giving the following information:
Job:
Direct materials= $2,000
Direct labor= $400
Machine-hours= 900 mh
Company:
Manufacturing overhead costs $45,000
Machine-hours 100,000 mh
Selling price= 40% markup of total manufacturing costs
First, we need to calculate the predetermined overhead rate to allocate overhead:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= 45,000/100,000
Predetermined manufacturing overhead rate= $0.45 per machine hour
Now, we can calculate the total cost and the selling price:
Total cost= 2,000 + 400 + 0.45*900= $2,805
Selling price= 2,805*1.4= $3,927