Answer:
The bull weighs 1,900 pounds.
Step-by-step explanation:
2,000 pounds = 1 ton
0.95 x 2,000 = 1,900 pounds
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Answer: 1,900 pounds
Step-by-step explanation:
There are 2,000 pounds in a ton, so we will multiply 0.95 tons by 2,000 to figure out the weight of the bull in pounds.
0.95 * 2,000 = 1,900 pounds
You are playing miniature golf on the hole shown.
a. Write a polynomial that represents the area of the golf hole. Show your steps and explain how you found the polynomial.
b. Write a polynomial that represents the perimeter of the golf hole. Show your steps and explain how you found the polynomial.
Bonus:
c. Find the perimeter of the golf hole when the area is 216 square feet.
The dimensions of the golf hole found using the indicated variable expressions are as follows;
a. The area of the golf hole is 4·x² + 12·x
b. The perimeter of the golf hole is 8·x + 8
c. The perimeter of the golf hole if the area of the hole is 216 square feet is 56 feet
What is the perimeter of a geometric figure?The perimeter of a geometric figure is found by the length of the boundary of the figure.
a. The area of the gulf hole is found as follows;
The area is a composite figure, which consists of a rectangle of length 3·x and width (x + 4) and a square of length x
Which indicates that the area is A = 3·x × (x + 4) + x×x = 3·x² + 12·x + x²
The area of the hole, A = 3·x² + 12·x + x² = 4·x² + 12·x
The area of the hole is A = 4·x² + 12·x
b. The perimeter of the hole is found as follows;
P = (x + 4) + 3·x + (x + 4) + x + x + x = 8·x + 8
The perimeter of the hole = 8·x + 8
c. The area of the golf hole = 216 square feet, which indicates;
4·x² + 12·x = 216
4·x² + 12·x - 216 = 0
x² + 3·x - 54 = 0
(x + 9)·(x - 6) = 0
x = 6 or x = -9
The perimeter of the golf hole is therefore;
P = 8 × 6 + 8 = 56
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The ratio of adults to children is 400 to 150
SOLUTION
In mathematics, a ratio indicates how many times one number contains another.
And when we write quantities in ratio form, we represent ratio with the symbol :
For example: The ratio of A to B is written mathematically as A:B
Another important thing we must note when writing ratios is to always express both quantities in their simplest form.
With the above explanation, we can proceed in answering the question.
The ratio of adults to children which is 400 to 150, can be written mathematically in ratio form as:
[tex]\begin{gathered} =\frac{400}{150} \\ \text{Divide both the numerator and denominator by 10} \\ =\frac{40}{15} \\ \text{Divide both the numerator and denominator by 5} \\ =\frac{8}{3} \end{gathered}[/tex]Final answer: The ratio of adults to children is:
[tex]8\colon3[/tex]In ΔKLM, l = 710 cm, k = 130 cm and ∠K=161°. Find all possible values of ∠L, to the nearest 10th of a degree.
PLEASE HELP
The value of ∠L is 2.909° as the definition of angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint".
What is angle?An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. Based on measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees.
Here,
Side k = 130
Side l = 710
Side m = 833.99204
Angle ∠L = 2.909°
Angle ∠M = 16.091°
Angle ∠K = 161°
Angle L=cos⁻¹((m²+ k² - l²)/2mk)
=cos⁻¹((834²+130²-710²)/2*834*130)
= 2.909°
Since the definition of an angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint," the value of ∠L is 2.909°.
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Which of the expressions equal −5
Answer:
-5+0=-5
(-6)+1=-5
-7+2=-5
Step-by-step explanation:
You used a student deck of 52 cards and selected a card at random find (c) 2 of heart
Definition
Theoretical Probability is the ratio of the number of favorable outcomes to the total possible outcomes of an event.
Expressing probability as a formula:
[tex]\text{probability = }\frac{Number\text{ of favorable outcomes}}{Total\text{ possible outcomes of an event}}[/tex]Information about a standard deck of cards:
A standard deck of cards has four suits: hearts, clubs, spades, diamonds. Each suit has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. Thus the entire deck has 52 cards total.
(a) Picture card (J, Q, and K)
In a standard deck, there are 4 Jacks, Queens, and Kings. Hence, the probability of J, Q, and K are:
[tex]\begin{gathered} \text{Number of picture cards = 4 }\times\text{ 3} \\ =\text{ 12} \end{gathered}[/tex]Probability as a fraction:
[tex]=\text{ }\frac{12}{52}[/tex]In decimal:
[tex]=\text{ }0.23[/tex]Percent:
[tex]\begin{gathered} =\text{ 0.23 }\times\text{ 100} \\ =\text{ 23\%} \end{gathered}[/tex](b) 9 or 10
There are 4 cards labeled 9 and 10 each.
Probability as a fraction:
[tex]\begin{gathered} P(9or10)=\text{ P(9) + P(10)} \\ =\text{ }\frac{4}{52}\text{ + }\frac{4}{52} \\ =\text{ }\frac{8}{52} \end{gathered}[/tex]In decimal:
[tex]=\text{ 0.15}[/tex]In percent:
[tex]\begin{gathered} =\text{ 0.15 }\times\text{ 100} \\ =\text{ 15\%} \end{gathered}[/tex](c) 2 of heart
In a standard deck of cards, there are only one 2 of hearts.
Probability as a fraction:
[tex]=\text{ }\frac{1}{52}[/tex]In decimal:
[tex]=\text{ 0.02}[/tex]In percent:
[tex]\begin{gathered} =\text{ 0.02 }\times\text{ 100} \\ =\text{ 2\%} \end{gathered}[/tex]WILL GIVE BRAINIEST!!!
Answer:
x=1
Step-by-step explanation:
Both graphs intersect at 1
Answer:
x=1
Step-by-step explanation:
They sectioned at 1
x=9 and y=4 what does xy/2
Answer:
18
Step-by-step explanation:
Equation 9 x 4 / 2 = 18
First do 9 x 4 which is 36
Next do 36 / 2 which is 18
Also the "/" is another way to say to divide
Lindsey bought a picnic basket originally priced at $40 but on sale for 50% off. After 10% sales tax, what was the total cost?
$
Answer:
Step-by-step explanation:
I got 22 my friend hope i helped.
Answer:
$18
Step-by-step explanation:
50% of 40 is 20, so 40-20=20
10% of 20 is 2, so 20-2=18
total price=$18
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The x-coordinates of the points of intersection of the given function graphs are;
1) x = 0 and x = 2
2) x = -1
3) x = 0
What is the point of intersection of the graph?
The point of intersection of a graph is defined as the point or coordinates where two lines or curves meet each other.
1) In the first graph, we are given the functions as;
f(x) = -³/₄x² + 3x + 1
g(x) = 2ˣ
Thus;
From the graph, f(x) = g(x) is at (2,4 and (0, 1)
2) In the first graph, we are given the functions as;
f(x) = x² + 4x + 2
g(x) = (¹/₂)ˣ + 1
Thus;
From the graph, f(x) = g(x) is at (-1. 3)
C) In the third graph, we are given the functions as;
f(x) = -⁷/₃x - 3
g(x) = 2ˣ - 4
Thus;
From the graph, f(x) = g(x) is at (0, -3)
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How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?Question 49 options:a) 5b) 0c) 25d) 32
SOLUTION:
Step 1:
In this question, we are given the following:
How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?
Step 2:
The details of the solution are as follows:
Recall that:
The empty set and the set itelf are also part of the subsets that must be included as part of the number of subsets.
If a set has “n” elements,
then the number of subset of the given set is
[tex]2^n[/tex]Hence, the total number of subsets will be:
[tex]2^5=\text{ 32 \lparen OPTION D \rparen}[/tex]CONCLUSION:
The final answer is:
[tex]32\text{ \lparen OPTION D \rparen}[/tex]The circumference of a circle is 22π ft. What is the area, in square feet? Express your answer in terms of \piπ.
Answer:
121 pi
Step-by-step explanation:
pi d =22 pi
divide both side by pi to find diameter
d=22
divide by 2 too find radius
11 is the radius
plugg 11 to pi r ²
121 pi
is the morning temperature was 1 degrees Celsius then there was a rise of 3 degrees Celsius what is the afternoon temperature
the temperature in the morning was 1 degree celsius
then rise of 3 degree
so now the total temperature is 1 + 3 = 4 degree
so the temperature of the afternoon is 4 degrees.
Find the mean, median, and mode of the data set. Round to the hundredths, if necessary. 3, 4, 5, 7, 6, 8, 8, 5, 3, 6, 4, 5, 3, 3, 7, 7.
Mean is 5.25, Median is 5 and mode is 3.
Given,
In the question:
There are numbers:
3, 4, 5, 7, 6, 8, 8, 5, 3, 6, 4, 5, 3, 3, 7, 7.
To find the mean, median and mode.
Let's Know :
How do you find the mean median and mode?
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
Now, According to the above statement :
To find Mean:
[tex]\frac{3+4+ 5+ 7+ 6+ 8+ 8+ 5+ 3+ 6+ 4+ 5+ 3+ 3+ 7+ 7}{16}[/tex]
= 84/16 = 5.25
For Median
Arrange in ascending order
3, 3, 3, 3, 4,4, 5,5,5, 6,6, 7, 7, 7, 8,8.
There is an even no. of observations. i.e., 16 numbers.
then, there is no single middle value; the median is then usually defined to be the mean of the two middle values: so the median of
Middle two values is : (5 + 5)/2 = 10/2 = 5
Middle value is 5
For Mode:
The mode is the number that occurs most often in a data set.
Mode is 3 .
Hence, Mean is 5.25, Median is 5 and mode is 3.
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Write the inequality that matches the description. The boundary line is dashed and has a slope of -7 and a y-intercept of 2. The area below the line is shaded.
Answer:
y<-7x+2
Explanation:
The slope-intercept form of a line is: y=mx+b
• When slope, m = -7
,• y-intercept, b = 2
We have:
[tex]y=-7x+2[/tex]Since the boundary line is dashed, the inequality sign has to be < or >.
However, since the area below the line is shaded, we can now conclude that the inequality sign is: <
The inequality that matches this description is:
[tex]y<-7x+2[/tex]Describe a transformation that maps triangle abc onto triangle ade.Explain why this transformation makes triangle ade similar to triangle abc
Given:
Triangle ABC is mapped onto triangle ADE.
Required:
The transformation that maps triangle ADE similar to triangle ABC.
Explanation:
A dilation process from A by a factor 3 maps triangle ABC onto triangle ADE.
In the dilation process, the transformed angle value remains constant.
[tex]\angle A\text{ is reflecxive}[/tex]Also,
[tex]\angle ABC\text{ }\cong\text{ ADE}[/tex]Therefore above transformation makes triangle ABC similar to triangle ADE.
Answer:
Thus from the explanation given above, the above transformation makes triangle ABC similar to triangle ADE.
-2x² + 3y² + 4x - 5y-11=O
x+3y-1=0
if 1+3 =345+2=275+1=163+5=58then2+4=?what isnthe ?
Answer:
46
Explanation:
In each number to the right of the equality sign, the tenths place is always the rightmost number in addition and the one place is the result of the addition.
For example, in 1 +3 = 34
Therefore, for 2 + 4 we have
Hence,
[tex]2+4=46[/tex]which is our answer!
If the speed of a train is increased by 4 miles per hour from its original speed, then it takes 1 hour less to cover a distance of 288 miles. Find its original speed.
The original speed of the train was 32 miles per hour.
We have a train. The train travels a distance equal to 288 miles. It is given that if the speed of a train is increased by 4 miles per hour from its original speed, then it takes 1 hour less to cover the distance. We need to find out the original speed of the train.
Let the original speed of the train be denoted by the variable "s". We can write the following equations using the given data:
s = 288/t
(s + 4) = 288/(t - 1)
We will substitute the value of "s" from the first equation into the second equation.
(288/t) + 4 = 288/(t - 1)
(288)×(t - 1) + 4×t×(t - 1) = 288×t
288t - 288 + 4t² - 4t = 288t
4t² - 4t - 288 = 0
t² - t - 72 = 0
t² - 9t + 8t - 72 = 0
t(t - 9) + 8(t - 9) = 0
(t - 9)(t + 8) = 0
The value of time cannot be negative, so the value of "t" is 9. Now, we will substitute this value into the first equation.
s = 288/t
s = 288/9
s = 32
Hence, the original speed of the train is 32 miles per hour.
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Given the regular nonagon (9-sided polygon) pictured below, which statements are true? Chose 2 answers. PLEASE EXPLAIN HOW YOU GOT THE ANSWER
A:The polygon has point symmetry.
B:The polygon has 40° rotational symmetry.
C:The polygon has 120° rotational symmetry.
D:The polygon has 90° rotational symmetry.
Answer:
B and C
Step-by-step explanation:
I need help! fast! please help will give 50 points
Answer:
9/2
Step-by-step explanation:
Answer
the commisoin is 270
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 1/4 cup of sugar.
PART A - What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar
The constant of proportionality is 20.
What is constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Given,
the recipe uses 5 cups of strawberries per 1/4 cup of sugar.
And let constant of proportionality is k.
that is
5 α 1/4
5 = k1/4
k = 5(4)
k = 20
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Bonjour est-ce que vous pouvez m’aider s’il vous plaît voici l’exercice
C’est l’exercice 19
Answer:
a = ⁵⁄₃ = 1⅔
b = ¼
c = ⁵⁄₇
d = ¹³⁄₁₂ = 1¹⁄₁₂
e = -⁷⁄₃₀
f = ³⁷⁄₁₄ = 2⁹⁄₁₄
find the hcf of 91 , 112 , 49
Answer: The highest common factor of 91, 112 and 49 is 7
hope this helps :)
Find the slope and the y-intercept of the line.
3x+y=2
Write your answers in simplest form.
Answer:
slope is -3
y intercept is 2
Step-by-step explanation:
3x+y=2 [subtract 3x from both sides]
y=-3x+2
slope is -3
y intercept is 2
a person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to highly intelligent individuals. if test scores are normally distributed with a mean of 110 and a standard deviation of 15, what is the minimum score a person must have to qualify for the society? (round your answer to the nearest integer.)
Answer:
Below
Step-by-step explanation:
Look for .9300 on the z-score table
= z-score = + 1.48
1.48 standard deciations = 1.48 * 15 = 22.2
110 + 22.2 = 132.2
132.2 is 1.48 standard deviations above the mean and is .9308 (93.08%)
What is the slope of the line that passes through the points (0, -8) and (0,−10)? Write your answer in simplest form.
Answer:
Undefined
Step-by-step explanation:
The x-coordinates of two points on the line are the same, so the line is vertical. Thus, the slope is undefined.
what are the solutions of the equation 6x^2+x-2= 0
Answer: The answer would be
B. 1/2
C. 1/3
Step-by-step explanation:
The solution of the equation 6x² - x - 1 = 0 are x = 1/2 and x = -1/3 after using the quadratic formula.
1. Find the mean, median, mode and midrange for each gender. Women Men 2. Find the range and standard deviation for each gender. Women Men GENDER WEIGHT Male 191 Male 222 Female 136 Male 168 Female 160 Female 101 Male 154 Female 126 Female 119 Male 178 Male 155 Male 190 Female 165 Male 170 Male 178 Female 102 Male 202 Female 135 Male 169 Female 137 Female 140 Male 184 Female 115 Male 149 Female 126 Male 160 Male 181 Female 140 Female 121 Female 124 Male 158
Answer:
1)To find the mean, median, mode and midrange for each gender.
From the given data,
Male: 191,222,168,154,178,155,190,170,178,202,169,184,149,160,181,158
For Men:
Mean is,
[tex]=\frac{191+222+168+154+178+155+190+170+178+202+169+184+149+160+181+158}{16}[/tex][tex]=\frac{2809}{16}=175.5625[/tex]Mean is 175.5625
Arrange the given data in ascending order,
149,154,155,158,160,168,169,170,178,178,181,184,190,191,202,222
Median is,
[tex]=\frac{170+178}{2}=174[/tex]Median is 174
The mode is one of the values of the measures of central tendency. This value gives us a rough idea about which of the items in a data set tend to occur most frequently.
Mode is 178.
Female: 136,160,101,126,119,165,102,135,137,140,115,126,140,121,124
For Women:
Mean is,
[tex]=\frac{136+160+101+126+119+165+102+135+137+140+115+126+140+121+124}{15}[/tex][tex]=129.8[/tex]Mean is 129.8
Arrange the given data in ascending order,
101,102,115,119,121,124,126,126,135,136,137,140,140,160,165
Median is 126
Mode is 126,140
Use the law of sines to solve the triangle if possible
The Sine rule formula is,
[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]Given:
[tex]\begin{gathered} a=13.9in \\ A=83^0 \\ b=18.3in \\ B=? \end{gathered}[/tex]Let us solve for solve for the measure of angle B
[tex]\frac{13.9}{sin83^0}=\frac{18.3}{sinB}[/tex]Therefore,
[tex]\begin{gathered} sinB=\frac{18.3\times sin83^0}{13.9}=1.30673342266 \\ \therefore B=sin^{-1}(1.30673342266)=No\text{ solution} \end{gathered}[/tex]Hence, there are no possible solutions for this triangle (OPTION C).
qrst is a square find Qu if qs =16t-14 and qu=6t+11
You have the square QRST, furthermore, you have that sides QS and QU are given by the following algebraic expressions:
QS = 16t - 14
QU = 6t + 11
Due to QRST is a square, the length of all sides are equal.
You can notice by the symmetry of the figure that QS = 2QU
Equal the expressions for QS and 2QU and solvde for t:
16t - 14 = 2(6t + 11) apply distribution property
16t - 14 = 12t + 22 add 14 both sides
16t = 12t + 22 + 14 subtract 12t both sides
16t - 12t = 22 + 14 simplfy like terms
4t = 36 divide by 4 both sides
t = 36/4 simplify the fraction
t = 9
Hence, the value of t is t = 9